Question
1. The sun, moon, and stars
a. Change their relative position over time.
b. Appear to move each day because the celestial sphere rotates about Earth
c. Rise north or south of West and sets North or South of East depending on their location on the celestial sphere.
d. Always remain in the same position relative to each other.


2. Which stars we see at night depends on (select all that apply)
a. our location on earth.
b. Earth’s location in its orbit.
c. The time of the observation.
d. The motion of stars relative to one another over the course of a year.


3. If you were standing at Earth’s north hole, where would you see the North celestial Pole?
a. At the zenith.
b. On the eastern horizon.
c. 23.5° south of the zenith.
d. None of the above: the North celestial Pole can’t be seen from.


4. Where on earth can you stand and, over the course of the year, see the entire sky?
a. Only at the North Pole.
b. At the equator.
c. At either polls.
d. Anywhere.


5. The seasons are called by _____________________.

Answer:_______________________________________


6. The tilt of Jupiter’s rotational axis with respect to its orbit plane is 3°. If Earth’s axis had this tilt, then the seasons on earth__________.

a. Would be much more extreme
b. would be much less extreme
c. would be pretty much the same
d. Would occur much differently every year, depending on the alignment.

7. T/F: the celestial sphere is not an actual object in the sky.


8. T/F: if a star rises North of East, it will set south of West.


9. T/F: from the North Pole, All-Stars in the night sky are circumpolar stars.


10. The tilt of the earth’s axis causes the seasons because ___________.
a. One hemisphere of the earth is closest to the sun in the summer.
b. The days are longer summer.
c. Though rays of light strikes the ground more directly in summer.
d. Both a and b
e. Both b and c.


11. What do we call the groups of constellations through which the sun appears to move over the course of a year?
a. The celestial equator
b. The ecliptic.
c. The line of nodes
d. the zodiac
Answer:


12. If you were standing at Earth’s South Pole, which stars would you see rising and setting.
a. All of them
b. all the stars north of the Arctic Circle
c. all the stars south of the Arctic Circle
d. none of them


13. On the summer solstice in the northern hemisphere, the Sun___________
a. Rises due east, passes through the highest point on the Meridian, and set you West.
b. Rises North East, passes the highest point on the Meridian and sets North of West.
c. Rises more to the east, passes through the highest point on the Meridian, and set south of West.
d. Rises South of East, passes the highest point on the Meridian, and set south of West.
e. None of the above


14. in the tropics
a. The sun is directly overhead twice per year.
b. The sun’s rays strikes earth exactly perpendicular at some times of the year
c. The seasons very blessed than elsewhere on earth.
d. All the above
Solution Preview

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references.
Students may use these solutions for personal skill-building and practice.
Unethical use is strictly forbidden.

Question 1: The answer is option a)
Question 2: The answer are options a) and c)
Question 3: The answer is option a)
Question 4: The answer is option b)
This is only a preview of the solution.
Please use the purchase button to see the entire solution.
By purchasing this solution you'll be able to access the following files:
Solution.docx
Purchase Solution
$1.00
Google Pay
Amazon
Paypal
Mastercard
Visacard
Discover
Amex
View Available Astronomy Tutors 529 tutors matched
Ionut
(ionut)
Hi! MSc Applied Informatics & Computer Science Engineer. Practical experience in many CS & IT branches.Research work & homework
5/5 (5,654+ sessions)
2 hours avg response
Leo
(Leo)
Hi! I have been a professor in New York and taught in a math department and in an applied math department.
4.9/5 (5,652+ sessions)
2 hours avg response
Pranay
(math1983)
Ph.D. in mathematics and working as an Assistant Professor in University. I can provide help in mathematics, statistics and allied areas.
4.6/5 (5,512+ sessions)
1 hour avg response

Similar Homework Solutions

8.1.0PHP Version662msRequest Duration45MBMemory UsageGET college-homework-library/{category}/{subject}/{id}Route
    • Booting (426ms)time
    • Application (236ms)time
    • 1 x Booting (64.37%)
      426ms
      1 x Application (35.62%)
      236ms
      • Illuminate\Routing\Events\Routing (929μs)
      • Illuminate\Routing\Events\RouteMatched (415μs)
      • Illuminate\Foundation\Events\LocaleUpdated (4.37ms)
      • eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (182μs)
      • eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (144μs)
      • Illuminate\Database\Events\ConnectionEstablished (849μs)
      • Illuminate\Database\Events\StatementPrepared (5.91ms)
      • Illuminate\Database\Events\QueryExecuted (1.15ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (113μs)
      • eloquent.booting: App\Models\Subject (70μs)
      • eloquent.booted: App\Models\Subject (58μs)
      • Illuminate\Database\Events\StatementPrepared (1.36ms)
      • Illuminate\Database\Events\QueryExecuted (1.18ms)
      • eloquent.retrieved: App\Models\Subject (117μs)
      • eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (108μs)
      • eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (56μs)
      • Illuminate\Database\Events\StatementPrepared (522μs)
      • Illuminate\Database\Events\QueryExecuted (4.82ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (99μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (21μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (12μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (10μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (8μs)
      • eloquent.booting: App\Models\SubjectCat (492μs)
      • eloquent.booted: App\Models\SubjectCat (52μs)
      • Illuminate\Database\Events\StatementPrepared (2.95ms)
      • Illuminate\Database\Events\QueryExecuted (869μs)
      • eloquent.retrieved: App\Models\SubjectCat (108μs)
      • Illuminate\Cache\Events\CacheHit (15.85ms)
      • Illuminate\Cache\Events\CacheMissed (203μs)
      • Illuminate\Database\Events\StatementPrepared (729μs)
      • Illuminate\Database\Events\QueryExecuted (2.2ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (83μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (20μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (15μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (12μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (11μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (11μs)
      • Illuminate\Database\Events\StatementPrepared (596μs)
      • Illuminate\Database\Events\QueryExecuted (2.14ms)
      • eloquent.retrieved: App\Models\Subject (95μs)
      • Illuminate\Cache\Events\KeyWritten (3.37ms)
      • Illuminate\Database\Events\StatementPrepared (3.99ms)
      • Illuminate\Database\Events\QueryExecuted (4.69ms)
      • Illuminate\Database\Events\StatementPrepared (800μs)
      • Illuminate\Database\Events\QueryExecuted (1.13ms)
      • Illuminate\Database\Events\StatementPrepared (710μs)
      • Illuminate\Database\Events\QueryExecuted (1.13ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (67μs)
      • Illuminate\Cache\Events\CacheHit (483μs)
      • creating: homework.show (263μs)
      • composing: homework.show (102μs)
      • creating: components.breadcrumbs (282μs)
      • composing: components.breadcrumbs (135μs)
      • Illuminate\Database\Events\StatementPrepared (1.34ms)
      • Illuminate\Database\Events\QueryExecuted (1.1ms)
      • eloquent.retrieved: App\Models\SubjectCat (91μs)
      • Illuminate\Cache\Events\CacheHit (4.09ms)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (174μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (154μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (153μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (163μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (206μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (321μs)
      • Illuminate\Cache\Events\CacheHit (217μs)
      • Illuminate\Cache\Events\CacheHit (212μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (206μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (331μs)
      • Illuminate\Cache\Events\CacheHit (399μs)
      • Illuminate\Cache\Events\CacheHit (364μs)
      • Illuminate\Cache\Events\CacheHit (311μs)
      • Illuminate\Cache\Events\CacheHit (338μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (209μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (331μs)
      • Illuminate\Cache\Events\CacheHit (221μs)
      • Illuminate\Cache\Events\CacheHit (459μs)
      • Illuminate\Cache\Events\CacheHit (262μs)
      • Illuminate\Cache\Events\CacheHit (227μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (257μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (231μs)
      • Illuminate\Cache\Events\CacheHit (212μs)
      • Illuminate\Cache\Events\CacheHit (183μs)
      • Illuminate\Cache\Events\CacheHit (295μs)
      • Illuminate\Cache\Events\CacheHit (274μs)
      • Illuminate\Cache\Events\CacheHit (208μs)
      • Illuminate\Cache\Events\CacheHit (232μs)
      • Illuminate\Cache\Events\CacheHit (206μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (192μs)
      • Illuminate\Cache\Events\CacheHit (155μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (209μs)
      • Illuminate\Cache\Events\CacheHit (163μs)
      • Illuminate\Cache\Events\CacheHit (344μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (272μs)
      • Illuminate\Cache\Events\CacheHit (640μs)
      • Illuminate\Cache\Events\CacheHit (252μs)
      • Illuminate\Cache\Events\CacheHit (296μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (217μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (315μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (206μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (196μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (863μs)
      • Illuminate\Cache\Events\CacheHit (916μs)
      • Illuminate\Cache\Events\CacheHit (210μs)
      • Illuminate\Cache\Events\CacheHit (216μs)
      • Illuminate\Cache\Events\CacheHit (373μs)
      • Illuminate\Cache\Events\CacheHit (217μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (160μs)
      • Illuminate\Cache\Events\CacheHit (247μs)
      • Illuminate\Cache\Events\CacheHit (471μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (261μs)
      • Illuminate\Cache\Events\CacheHit (233μs)
      • Illuminate\Cache\Events\CacheHit (462μs)
      • Illuminate\Cache\Events\CacheHit (297μs)
      • Illuminate\Cache\Events\CacheHit (264μs)
      • Illuminate\Cache\Events\CacheHit (315μs)
      • Illuminate\Cache\Events\CacheHit (305μs)
      • Illuminate\Cache\Events\CacheHit (227μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (242μs)
      • Illuminate\Cache\Events\CacheHit (202μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (307μs)
      • Illuminate\Cache\Events\CacheHit (681μs)
      • Illuminate\Cache\Events\CacheHit (2.01ms)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (260μs)
      • Illuminate\Cache\Events\CacheHit (196μs)
      • Illuminate\Cache\Events\CacheHit (217μs)
      • Illuminate\Cache\Events\CacheHit (461μs)
      • Illuminate\Cache\Events\CacheHit (277μs)
      • Illuminate\Cache\Events\CacheHit (469μs)
      • Illuminate\Cache\Events\CacheHit (713μs)
      • Illuminate\Cache\Events\CacheHit (494μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (273μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (219μs)
      • Illuminate\Cache\Events\CacheHit (210μs)
      • Illuminate\Cache\Events\CacheHit (284μs)
      • Illuminate\Cache\Events\CacheMissed (3.52ms)
      • Illuminate\Database\Events\StatementPrepared (1.15ms)
      • Illuminate\Database\Events\QueryExecuted (2.88ms)
      • eloquent.retrieved: App\Models\SubjectCat (104μs)
      • Illuminate\Cache\Events\KeyWritten (1.57ms)
      • Illuminate\Cache\Events\CacheHit (221μs)
      • Illuminate\Cache\Events\CacheHit (206μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (251μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (1.03ms)
      • Illuminate\Cache\Events\CacheHit (490μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (240μs)
      • Illuminate\Cache\Events\CacheHit (633μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (347μs)
      • Illuminate\Cache\Events\CacheHit (280μs)
      • Illuminate\Cache\Events\CacheHit (256μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (158μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (374μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (272μs)
      • Illuminate\Cache\Events\CacheHit (246μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (271μs)
      • Illuminate\Cache\Events\CacheHit (408μs)
      • Illuminate\Cache\Events\CacheHit (241μs)
      • Illuminate\Cache\Events\CacheHit (362μs)
      • Illuminate\Cache\Events\CacheHit (274μs)
      • Illuminate\Cache\Events\CacheHit (387μs)
      • Illuminate\Cache\Events\CacheHit (174μs)
      • Illuminate\Cache\Events\CacheHit (407μs)
      • Illuminate\Cache\Events\CacheHit (294μs)
      • Illuminate\Cache\Events\CacheHit (392μs)
      • Illuminate\Cache\Events\CacheHit (718μs)
      • Illuminate\Cache\Events\CacheHit (775μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (615μs)
      • Illuminate\Cache\Events\CacheHit (220μs)
      • Illuminate\Cache\Events\CacheHit (192μs)
      • Illuminate\Cache\Events\CacheHit (506μs)
      • Illuminate\Cache\Events\CacheHit (404μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (217μs)
      • Illuminate\Cache\Events\CacheHit (248μs)
      • Illuminate\Cache\Events\CacheHit (463μs)
      • Illuminate\Cache\Events\CacheHit (255μs)
      • Illuminate\Cache\Events\CacheHit (389μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (369μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (238μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (261μs)
      • Illuminate\Cache\Events\CacheHit (183μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (249μs)
      • Illuminate\Cache\Events\CacheHit (263μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheMissed (962μs)
      • Illuminate\Database\Events\StatementPrepared (1.4ms)
      • Illuminate\Database\Events\QueryExecuted (1.37ms)
      • eloquent.retrieved: App\Models\SubjectCat (103μs)
      • Illuminate\Cache\Events\KeyWritten (391μs)
      • Illuminate\Cache\Events\CacheHit (288μs)
      • Illuminate\Cache\Events\CacheHit (352μs)
      • Illuminate\Cache\Events\CacheHit (724μs)
      • Illuminate\Cache\Events\CacheHit (283μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (579μs)
      • Illuminate\Cache\Events\CacheHit (302μs)
      • Illuminate\Cache\Events\CacheHit (512μs)
      • Illuminate\Cache\Events\CacheHit (237μs)
      • Illuminate\Cache\Events\CacheHit (316μs)
      • Illuminate\Cache\Events\CacheHit (288μs)
      • Illuminate\Cache\Events\CacheHit (1.47ms)
      • Illuminate\Cache\Events\CacheHit (223μs)
      • Illuminate\Cache\Events\CacheHit (257μs)
      • Illuminate\Cache\Events\CacheHit (156μs)
      • Illuminate\Cache\Events\CacheHit (295μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (1.12ms)
      • Illuminate\Cache\Events\CacheHit (279μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (941μs)
      • Illuminate\Cache\Events\CacheHit (222μs)
      • Illuminate\Cache\Events\CacheHit (293μs)
      • Illuminate\Cache\Events\CacheHit (379μs)
      • Illuminate\Cache\Events\CacheHit (298μs)
      • Illuminate\Cache\Events\CacheHit (229μs)
      • Illuminate\Cache\Events\CacheHit (196μs)
      • Illuminate\Cache\Events\CacheHit (330μs)
      • Illuminate\Cache\Events\CacheHit (206μs)
      • Illuminate\Cache\Events\CacheHit (325μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (244μs)
      • Illuminate\Cache\Events\CacheHit (240μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (218μs)
      • Illuminate\Cache\Events\CacheHit (252μs)
      • Illuminate\Cache\Events\CacheHit (491μs)
      • Illuminate\Cache\Events\CacheHit (236μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (160μs)
      • Illuminate\Cache\Events\CacheHit (285μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (236μs)
      • Illuminate\Cache\Events\CacheHit (343μs)
      • Illuminate\Cache\Events\CacheHit (277μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (572μs)
      • Illuminate\Cache\Events\CacheHit (307μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (300μs)
      • Illuminate\Cache\Events\CacheHit (160μs)
      • Illuminate\Cache\Events\CacheHit (335μs)
      • Illuminate\Cache\Events\CacheHit (1.49ms)
      • Illuminate\Cache\Events\CacheHit (786μs)
      • Illuminate\Cache\Events\CacheHit (816μs)
      • Illuminate\Cache\Events\CacheHit (1.27ms)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (224μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (138μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (150μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (365μs)
      • Illuminate\Cache\Events\CacheHit (381μs)
      • Illuminate\Cache\Events\CacheHit (568μs)
      • Illuminate\Cache\Events\CacheHit (740μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (975μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (698μs)
      • Illuminate\Cache\Events\CacheHit (248μs)
      • Illuminate\Cache\Events\CacheHit (196μs)
      • Illuminate\Cache\Events\CacheHit (2.11ms)
      • Illuminate\Cache\Events\CacheHit (306μs)
      • Illuminate\Cache\Events\CacheHit (1.55ms)
      • Illuminate\Cache\Events\CacheHit (342μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (909μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (266μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheMissed (1.72ms)
      • Illuminate\Database\Events\StatementPrepared (1.27ms)
      • Illuminate\Database\Events\QueryExecuted (1.26ms)
      • eloquent.retrieved: App\Models\SubjectCat (97μs)
      • Illuminate\Cache\Events\KeyWritten (1.32ms)
      • Illuminate\Cache\Events\CacheHit (459μs)
      • Illuminate\Cache\Events\CacheHit (3.08ms)
      • Illuminate\Cache\Events\CacheHit (1.87ms)
      • Illuminate\Cache\Events\CacheHit (390μs)
      • Illuminate\Cache\Events\CacheHit (218μs)
      • Illuminate\Cache\Events\CacheHit (253μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (270μs)
      • Illuminate\Cache\Events\CacheHit (216μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (501μs)
      • Illuminate\Cache\Events\CacheHit (423μs)
      • Illuminate\Cache\Events\CacheHit (493μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (366μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • creating: site.layouts.app (739μs)
      • composing: site.layouts.app (140μs)
      • creating: components.canonical (1.35ms)
      • composing: components.canonical (117μs)
      • creating: components.open-graph (493μs)
      • composing: components.open-graph (128μs)
      • creating: site.headers.header (507μs)
      • composing: site.headers.header (86μs)
      • Illuminate\Cache\Events\CacheHit (2.09ms)
      • creating: components.footer (78μs)
      • composing: components.footer (94μs)
      • Illuminate\Cache\Events\CacheHit (8.37ms)
      • Illuminate\Cache\Events\CacheMissed (559μs)
      • Illuminate\Database\Events\StatementPrepared (5.1ms)
      • Illuminate\Database\Events\QueryExecuted (1.81ms)
      • eloquent.retrieved: App\Models\SubjectCat (300μs)
      • Illuminate\Cache\Events\KeyWritten (2.74ms)
      • Illuminate\Cache\Events\CacheHit (328μs)
      • Illuminate\Cache\Events\CacheHit (414μs)
      • Illuminate\Cache\Events\CacheHit (1.88ms)
      • Illuminate\Cache\Events\CacheHit (889μs)
      • Illuminate\Cache\Events\CacheHit (664μs)
      • Illuminate\Cache\Events\CacheHit (610μs)
      • Illuminate\Cache\Events\CacheHit (603μs)
      • Illuminate\Cache\Events\CacheHit (283μs)
      • Illuminate\Cache\Events\CacheHit (905μs)
      • Illuminate\Cache\Events\CacheHit (299μs)
      • Illuminate\Cache\Events\CacheHit (1.42ms)
      • Illuminate\Cache\Events\CacheHit (220μs)
      • creating: components.forms.contact-us (346μs)
      • composing: components.forms.contact-us (292μs)
      • creating: components.forms.get-started (212μs)
      • composing: components.forms.get-started (92μs)
      • creating: components.forms.free-tool-download (148μs)
      • composing: components.forms.free-tool-download (76μs)
      • creating: components.forms.claim-free-worksheet (140μs)
      • composing: components.forms.claim-free-worksheet (146μs)
      • creating: components.forms.tutor-subscription-waitlist (150μs)
      • composing: components.forms.tutor-subscription-waitlist (104μs)
      • creating: components.forms.tutor-subscription-join (141μs)
      • composing: components.forms.tutor-subscription-join (76μs)
      • creating: components.forms.tutor-support (262μs)
      • composing: components.forms.tutor-support (84μs)
      • 317 x Illuminate\Cache\Events\CacheHit (20.65%)
        137ms
        14 x Illuminate\Database\Events\StatementPrepared (4.21%)
        27.83ms
        14 x Illuminate\Database\Events\QueryExecuted (4.19%)
        27.72ms
        5 x Illuminate\Cache\Events\KeyWritten (1.42%)
        9.39ms
        5 x Illuminate\Cache\Events\CacheMissed (1.05%)
        6.96ms
        1 x Illuminate\Foundation\Events\LocaleUpdated (0.66%)
        4.37ms
        1 x creating: components.canonical (0.2%)
        1.35ms
        1 x Illuminate\Routing\Events\Routing (0.14%)
        929μs
        1 x Illuminate\Database\Events\ConnectionEstablished (0.13%)
        849μs
        6 x eloquent.retrieved: App\Models\SubjectCat (0.12%)
        803μs
        1 x creating: site.layouts.app (0.11%)
        739μs
        1 x creating: site.headers.header (0.08%)
        507μs
        1 x creating: components.open-graph (0.07%)
        493μs
        1 x eloquent.booting: App\Models\SubjectCat (0.07%)
        492μs
        1 x Illuminate\Routing\Events\RouteMatched (0.06%)
        415μs
        1 x creating: components.forms.contact-us (0.05%)
        346μs
        1 x composing: components.forms.contact-us (0.04%)
        292μs
        1 x creating: components.breadcrumbs (0.04%)
        282μs
        7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)
        265μs
        1 x creating: homework.show (0.04%)
        263μs
        1 x creating: components.forms.tutor-support (0.04%)
        262μs
        6 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.03%)
        217μs
        2 x eloquent.retrieved: App\Models\Subject (0.03%)
        212μs
        1 x creating: components.forms.get-started (0.03%)
        212μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%)
        182μs
        1 x creating: components.forms.tutor-subscription-waitlist (0.02%)
        150μs
        1 x creating: components.forms.free-tool-download (0.02%)
        148μs
        1 x composing: components.forms.claim-free-worksheet (0.02%)
        146μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.02%)
        144μs
        1 x creating: components.forms.tutor-subscription-join (0.02%)
        141μs
        1 x creating: components.forms.claim-free-worksheet (0.02%)
        140μs
        1 x composing: site.layouts.app (0.02%)
        140μs
        1 x composing: components.breadcrumbs (0.02%)
        135μs
        1 x composing: components.open-graph (0.02%)
        128μs
        1 x composing: components.canonical (0.02%)
        117μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.02%)
        108μs
        1 x composing: components.forms.tutor-subscription-waitlist (0.02%)
        104μs
        1 x composing: homework.show (0.02%)
        102μs
        1 x composing: components.footer (0.01%)
        94μs
        1 x composing: components.forms.get-started (0.01%)
        92μs
        1 x composing: site.headers.header (0.01%)
        86μs
        1 x composing: components.forms.tutor-support (0.01%)
        84μs
        1 x creating: components.footer (0.01%)
        78μs
        1 x composing: components.forms.tutor-subscription-join (0.01%)
        76μs
        1 x composing: components.forms.free-tool-download (0.01%)
        76μs
        1 x eloquent.booting: App\Models\Subject (0.01%)
        70μs
        1 x eloquent.booted: App\Models\Subject (0.01%)
        58μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)
        56μs
        1 x eloquent.booted: App\Models\SubjectCat (0.01%)
        52μs
      14 templates were rendered
      • 1x homework.showshow.blade.phpblade
      • 1x components.breadcrumbsbreadcrumbs.blade.phpblade
      • 1x site.layouts.appapp.blade.phpblade
      • 1x components.canonicalcanonical.blade.phpblade
      • 1x components.open-graphopen-graph.blade.phpblade
      • 1x site.headers.headerheader.blade.phpblade
      • 1x components.footerfooter.blade.phpblade
      • 1x components.forms.contact-uscontact-us.blade.phpblade
      • 1x components.forms.get-startedget-started.blade.phpblade
      • 1x components.forms.free-tool-downloadfree-tool-download.blade.phpblade
      • 1x components.forms.claim-free-worksheetclaim-free-worksheet.blade.phpblade
      • 1x components.forms.tutor-subscription-waitlisttutor-subscription-waitlist.blade.phpblade
      • 1x components.forms.tutor-subscription-jointutor-subscription-join.blade.phpblade
      • 1x components.forms.tutor-supporttutor-support.blade.phpblade
      uri
      GET college-homework-library/{category}/{subject}/{id}
      middleware
      web, utm.parameters
      controller
      App\Http\Controllers\HomeworkLibraryController@show
      namespace
      where
      as
      homework.show
      file
      app/Http/Controllers/HomeworkLibraryController.php:79-176
      14 statements were executed, 4 of which were duplicates, 10 unique. Show only duplicated39.56ms
      • Connection Establishedtwenty4_siteHomeworkLibraryController.php#91
        Backtrace
        • 13. app/Http/Controllers/HomeworkLibraryController.php:91
        • 14. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 15. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 16. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `solutionslibrary` where `status` = 'published' and `price` > 0 and `solutionslibrary`.`id` = '29380' limit 1
        6.25mstwenty4_siteHomeworkLibraryController.php#97
        Bindings
        • 0: published
        • 1: 0
        • 2: 29380
        Backtrace
        • 16. app/Http/Controllers/HomeworkLibraryController.php:97
        • 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 18. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `subjects` where `subjects`.`id` in (473)
        1.17mstwenty4_siteHomeworkLibraryController.php#97
        Backtrace
        • 21. app/Http/Controllers/HomeworkLibraryController.php:97
        • 22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 25. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` in (29380)
        4.65mstwenty4_siteHomeworkLibraryController.php#97
        Backtrace
        • 21. app/Http/Controllers/HomeworkLibraryController.php:97
        • 22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 25. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `subject_cats` where `subject_cats`.`id` = 42 limit 1
        2.85mstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 42
        Backtrace
        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 26. app/Http/Controllers/HomeworkLibraryController.php:105
        • 27. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 28. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 29. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • select * from `solutionslibrary` where `id` <> 29380 and `subject` = 473 and `status` = 'published' and `price` > 0 order by RAND() limit 6
        2.1mstwenty4_siteHomeworkLibraryRepository.php#30
        Bindings
        • 0: 29380
        • 1: 473
        • 2: published
        • 3: 0
        Backtrace
        • 14. app/Repositories/HomeworkLibraryRepository.php:30
        • 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 18. app/Repositories/HomeworkLibraryRepository.php:39
        • 19. app/Http/Controllers/HomeworkLibraryController.php:139
      • select * from `subjects` where `subjects`.`id` in (473)
        2.01mstwenty4_siteHomeworkLibraryRepository.php#30
        Backtrace
        • 19. app/Repositories/HomeworkLibraryRepository.php:30
        • 20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 21. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 23. app/Repositories/HomeworkLibraryRepository.php:39
        • 24. app/Http/Controllers/HomeworkLibraryController.php:139
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 29380 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc
        7.08mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 29380
        • 1: question
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:58
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 29380 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc
        1.12mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 29380
        • 1: teaser
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:69
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 29380 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc
        1.12mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 29380
        • 1: solution
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:80
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `subject_cats` where `subject_cats`.`id` = 42 limit 1
        1.1mstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 42
        Backtrace
        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 32. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 33. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 34. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
        • 35. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
      • select * from `subject_cats` where `subject_cats`.`id` = 5 limit 1
        1.18mstwenty4_siteSubject.php#100
        Bindings
        • 0: 5
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 34 limit 1
        1.84mstwenty4_siteSubject.php#100
        Bindings
        • 0: 34
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 31 limit 1
        1.38mstwenty4_siteSubject.php#100
        Bindings
        • 0: 31
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 36 limit 1
        5.71mstwenty4_siteSubject.php#100
        Bindings
        • 0: 36
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 28. view::components.footer:170
      App\Models\HomeworkLibrary\HomeworkLibrary
      7HomeworkLibrary.php
      App\Models\HomeworkLibrary\HomeworkLibraryFile
      6HomeworkLibraryFile.php
      App\Models\SubjectCat
      6SubjectCat.php
      App\Models\Subject
      2Subject.php
          _token
          iQxEt6gl3mehwzIG8b5HXplRB78VTegrMjoYcmqT
          utm_source
          direct
          redirectUrl
          /college-homework-library/Astronomy/Astronomy-Other/29380
          _previous
          array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Astronomy/Astro...
          _flash
          array:2 [ "old" => [] "new" => [] ]
          PHPDEBUGBAR_STACK_DATA
          []
          path_info
          /college-homework-library/Astronomy/Astronomy-Other/29380
          status_code
          200
          
          status_text
          OK
          format
          html
          content_type
          text/html; charset=UTF-8
          request_query
          []
          
          request_request
          []
          
          request_headers
          0 of 0
          array:21 [ "priority" => array:1 [ 0 => "u=0, i" ] "accept-encoding" => array:1 [ 0 => "gzip, deflate, br, zstd" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "sec-fetch-user" => array:1 [ 0 => "?1" ] "sec-fetch-mode" => array:1 [ 0 => "navigate" ] "sec-fetch-site" => array:1 [ 0 => "none" ] "accept" => array:1 [ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [ 0 => "1" ] "sec-ch-ua-platform" => array:1 [ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [ 0 => "?0" ] "sec-ch-ua" => array:1 [ 0 => ""HeadlessChrome";v="129", "Not=A?Brand";v="8", "Chromium";v="129"" ] "cache-control" => array:1 [ 0 => "no-cache" ] "pragma" => array:1 [ 0 => "no-cache" ] "x-amzn-trace-id" => array:1 [ 0 => "Root=1-67fc3ac1-090b157b20654d8f10c293df" ] "host" => array:1 [ 0 => "staging.dev.24houranswers.com" ] "x-forwarded-port" => array:1 [ 0 => "443" ] "x-forwarded-proto" => array:1 [ 0 => "https" ] "x-forwarded-for" => array:1 [ 0 => "3.138.183.117" ] "content-length" => array:1 [ 0 => "" ] "content-type" => array:1 [ 0 => "" ] ]
          request_cookies
          []
          
          response_headers
          0 of 0
          array:5 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "no-cache, private" ] "date" => array:1 [ 0 => "Sun, 13 Apr 2025 22:29:22 GMT" ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IlA4bXd4VndQd3V4RE9aQ2FJSHFSclE9PSIsInZhbHVlIjoiNHVwd2N4RTNzYzdJeURleWRISVRVbXRMTXBpR3ZEZHlPSXFFNUNUcHFpMHJwTytsbjFLanJQcEtDMHBXYytDUGNPNjFZOHd3ZnVvNDZBajVEMWJZSWpQZCtKMnZEZEI2YWlNazVmc3dSbklQaEtNY1FZYnZQR2RQTWNKTjBzUjciLCJtYWMiOiIzN2RhZGM2MjdkNGNlYmRlNzRhZTU0NWMyZTJiZDM5N2U0NmE4YjkyYWFjYjdjYTYwZjNhYmRlY2YwNjdmMTY0IiwidGFnIjoiIn0%3D; expires=Mon, 14 Apr 2025 00:29:22 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; samesite=laxXSRF-TOKEN=eyJpdiI6IlA4bXd4VndQd3V4RE9aQ2FJSHFSclE9PSIsInZhbHVlIjoiNHVwd2N4RTNzYzdJeURleWRISVRVbXRMTXBpR3ZEZHlPSXFFNUNUcHFpMHJwTytsbjFLanJQcEtDMHBXYytDUGNPNjFZO" 1 => "24houranswers_session=eyJpdiI6InRkWFUwbkU3d2FaNG45bXhxZ0lPVUE9PSIsInZhbHVlIjoiUjVHNm5DQUVSR0xjUFduemhSV1NLUDVHcWdJZzNkNXRJdmFXVTBoazVwdjA1bHl1bmhlamdLT1Y1a20vdWM1M3NicSttMmsrVzVpOU1oeTVFeTFXL1luTFJiR2V6bUZ0ZDcrUVJIak9qQitGT2htZU1hVThMWHFmN3B4U1dCTTAiLCJtYWMiOiIwZDA3NTZjNTBkZTY0MWI1MmYxYWQ1YTdjYmVmZDU5ZGUxMjcyNzRkNmFkMjE0OGRjNTVhZjBhYWM3MTY1YWExIiwidGFnIjoiIn0%3D; expires=Mon, 14 Apr 2025 00:29:22 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; httponly; samesite=lax24houranswers_session=eyJpdiI6InRkWFUwbkU3d2FaNG45bXhxZ0lPVUE9PSIsInZhbHVlIjoiUjVHNm5DQUVSR0xjUFduemhSV1NLUDVHcWdJZzNkNXRJdmFXVTBoazVwdjA1bHl1bmhlamdLT1Y1a20vdW" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IlA4bXd4VndQd3V4RE9aQ2FJSHFSclE9PSIsInZhbHVlIjoiNHVwd2N4RTNzYzdJeURleWRISVRVbXRMTXBpR3ZEZHlPSXFFNUNUcHFpMHJwTytsbjFLanJQcEtDMHBXYytDUGNPNjFZOHd3ZnVvNDZBajVEMWJZSWpQZCtKMnZEZEI2YWlNazVmc3dSbklQaEtNY1FZYnZQR2RQTWNKTjBzUjciLCJtYWMiOiIzN2RhZGM2MjdkNGNlYmRlNzRhZTU0NWMyZTJiZDM5N2U0NmE4YjkyYWFjYjdjYTYwZjNhYmRlY2YwNjdmMTY0IiwidGFnIjoiIn0%3D; expires=Mon, 14-Apr-2025 00:29:22 GMT; domain=.24houranswers.com; path=/XSRF-TOKEN=eyJpdiI6IlA4bXd4VndQd3V4RE9aQ2FJSHFSclE9PSIsInZhbHVlIjoiNHVwd2N4RTNzYzdJeURleWRISVRVbXRMTXBpR3ZEZHlPSXFFNUNUcHFpMHJwTytsbjFLanJQcEtDMHBXYytDUGNPNjFZO" 1 => "24houranswers_session=eyJpdiI6InRkWFUwbkU3d2FaNG45bXhxZ0lPVUE9PSIsInZhbHVlIjoiUjVHNm5DQUVSR0xjUFduemhSV1NLUDVHcWdJZzNkNXRJdmFXVTBoazVwdjA1bHl1bmhlamdLT1Y1a20vdWM1M3NicSttMmsrVzVpOU1oeTVFeTFXL1luTFJiR2V6bUZ0ZDcrUVJIak9qQitGT2htZU1hVThMWHFmN3B4U1dCTTAiLCJtYWMiOiIwZDA3NTZjNTBkZTY0MWI1MmYxYWQ1YTdjYmVmZDU5ZGUxMjcyNzRkNmFkMjE0OGRjNTVhZjBhYWM3MTY1YWExIiwidGFnIjoiIn0%3D; expires=Mon, 14-Apr-2025 00:29:22 GMT; domain=.24houranswers.com; path=/; httponly24houranswers_session=eyJpdiI6InRkWFUwbkU3d2FaNG45bXhxZ0lPVUE9PSIsInZhbHVlIjoiUjVHNm5DQUVSR0xjUFduemhSV1NLUDVHcWdJZzNkNXRJdmFXVTBoazVwdjA1bHl1bmhlamdLT1Y1a20vdW" ] ]
          session_attributes
          0 of 0
          array:6 [ "_token" => "iQxEt6gl3mehwzIG8b5HXplRB78VTegrMjoYcmqT" "utm_source" => "direct" "redirectUrl" => "/college-homework-library/Astronomy/Astronomy-Other/29380" "_previous" => array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Astronomy/Astronomy-Other/29380" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]