2. There are 40 treats available to distribute to 10 puppies. How m...

Question
2. There are 40 treats available to distribute to 10 puppies. How many ways can the treats be distributed if each puppy must get at least 2 treats?
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.

Answer:

Each puppy must get at least 2 treats so 10 puppies must get at least 10 * 2 = 20 treats we could ignore these 20 treats
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
$5.00
Google Pay
Amazon
Paypal
Mastercard
Visacard
Discover
Amex
View Available Mathematics Tutors 529 tutors matched
ionut
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
(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 Version726msRequest Duration45MBMemory UsageGET college-homework-library/{category}/{subject}/{id}Route
    • Booting (466ms)time
    • Application (259ms)time
    • 1 x Booting (64.25%)
      466ms
      1 x Application (35.75%)
      259ms
      • Illuminate\Routing\Events\Routing (1.54ms)
      • Illuminate\Routing\Events\RouteMatched (418μs)
      • Illuminate\Foundation\Events\LocaleUpdated (5.88ms)
      • eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (214μs)
      • eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (166μs)
      • Illuminate\Database\Events\ConnectionEstablished (988μs)
      • Illuminate\Database\Events\StatementPrepared (9.38ms)
      • Illuminate\Database\Events\QueryExecuted (1.18ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (136μs)
      • eloquent.booting: App\Models\Subject (153μs)
      • eloquent.booted: App\Models\Subject (61μs)
      • Illuminate\Database\Events\StatementPrepared (2.55ms)
      • Illuminate\Database\Events\QueryExecuted (2.16ms)
      • eloquent.retrieved: App\Models\Subject (227μs)
      • eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (640μs)
      • eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (101μs)
      • Illuminate\Database\Events\StatementPrepared (3.18ms)
      • Illuminate\Database\Events\QueryExecuted (3.33ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (96μs)
      • eloquent.booting: App\Models\SubjectCat (331μs)
      • eloquent.booted: App\Models\SubjectCat (56μs)
      • Illuminate\Database\Events\StatementPrepared (795μs)
      • Illuminate\Database\Events\QueryExecuted (1.27ms)
      • eloquent.retrieved: App\Models\SubjectCat (110μs)
      • Illuminate\Cache\Events\CacheHit (15.05ms)
      • Illuminate\Cache\Events\CacheMissed (291μs)
      • Illuminate\Database\Events\StatementPrepared (1.7ms)
      • Illuminate\Database\Events\QueryExecuted (2.9ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (285μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (29μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (15μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (13μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (12μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (11μs)
      • Illuminate\Database\Events\StatementPrepared (2.36ms)
      • Illuminate\Database\Events\QueryExecuted (2.21ms)
      • eloquent.retrieved: App\Models\Subject (126μs)
      • Illuminate\Cache\Events\KeyWritten (1.22ms)
      • Illuminate\Database\Events\StatementPrepared (2.51ms)
      • Illuminate\Database\Events\QueryExecuted (1.07ms)
      • Illuminate\Database\Events\StatementPrepared (688μs)
      • Illuminate\Database\Events\QueryExecuted (1.15ms)
      • Illuminate\Database\Events\StatementPrepared (668μs)
      • Illuminate\Database\Events\QueryExecuted (998μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (49μs)
      • Illuminate\Cache\Events\CacheHit (1.83ms)
      • creating: homework.show (421μs)
      • composing: homework.show (190μs)
      • creating: components.breadcrumbs (368μs)
      • composing: components.breadcrumbs (182μs)
      • Illuminate\Database\Events\StatementPrepared (2.2ms)
      • Illuminate\Database\Events\QueryExecuted (1.14ms)
      • eloquent.retrieved: App\Models\SubjectCat (67μs)
      • Illuminate\Cache\Events\CacheMissed (6.2ms)
      • Illuminate\Database\Events\StatementPrepared (2.43ms)
      • Illuminate\Database\Events\QueryExecuted (1.83ms)
      • eloquent.retrieved: App\Models\SubjectCat (113μs)
      • Illuminate\Cache\Events\KeyWritten (830μs)
      • Illuminate\Cache\Events\CacheHit (481μs)
      • Illuminate\Cache\Events\CacheHit (255μs)
      • Illuminate\Cache\Events\CacheHit (266μs)
      • Illuminate\Cache\Events\CacheHit (232μs)
      • Illuminate\Cache\Events\CacheHit (1.71ms)
      • Illuminate\Cache\Events\CacheHit (235μs)
      • Illuminate\Cache\Events\CacheHit (431μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (7.95ms)
      • Illuminate\Cache\Events\CacheHit (196μs)
      • Illuminate\Cache\Events\CacheHit (236μs)
      • Illuminate\Cache\Events\CacheHit (273μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheMissed (192μs)
      • Illuminate\Database\Events\StatementPrepared (2.68ms)
      • Illuminate\Database\Events\QueryExecuted (1.15ms)
      • eloquent.retrieved: App\Models\SubjectCat (94μs)
      • Illuminate\Cache\Events\KeyWritten (850μs)
      • Illuminate\Cache\Events\CacheHit (284μs)
      • Illuminate\Cache\Events\CacheHit (252μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (352μs)
      • Illuminate\Cache\Events\CacheHit (267μs)
      • Illuminate\Cache\Events\CacheHit (680μs)
      • Illuminate\Cache\Events\CacheHit (366μs)
      • Illuminate\Cache\Events\CacheMissed (573μs)
      • Illuminate\Database\Events\StatementPrepared (3.03ms)
      • Illuminate\Database\Events\QueryExecuted (2.66ms)
      • eloquent.retrieved: App\Models\SubjectCat (517μs)
      • Illuminate\Cache\Events\KeyWritten (410μs)
      • Illuminate\Cache\Events\CacheHit (888μs)
      • Illuminate\Cache\Events\CacheHit (368μs)
      • Illuminate\Cache\Events\CacheHit (273μs)
      • Illuminate\Cache\Events\CacheHit (199μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (492μs)
      • Illuminate\Cache\Events\CacheHit (541μs)
      • Illuminate\Cache\Events\CacheHit (1.07ms)
      • Illuminate\Cache\Events\CacheHit (301μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (199μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (260μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (1.79ms)
      • Illuminate\Cache\Events\CacheHit (472μs)
      • Illuminate\Cache\Events\CacheHit (394μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (225μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (196μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (376μs)
      • Illuminate\Cache\Events\CacheHit (221μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (256μs)
      • Illuminate\Cache\Events\CacheMissed (213μs)
      • Illuminate\Database\Events\StatementPrepared (915μs)
      • Illuminate\Database\Events\QueryExecuted (1.18ms)
      • eloquent.retrieved: App\Models\SubjectCat (77μs)
      • Illuminate\Cache\Events\KeyWritten (418μs)
      • Illuminate\Cache\Events\CacheHit (256μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (117μs)
      • Illuminate\Cache\Events\CacheHit (129μs)
      • Illuminate\Cache\Events\CacheHit (102μs)
      • Illuminate\Cache\Events\CacheHit (119μs)
      • Illuminate\Cache\Events\CacheHit (144μs)
      • Illuminate\Cache\Events\CacheHit (4.67ms)
      • Illuminate\Cache\Events\CacheHit (629μs)
      • Illuminate\Cache\Events\CacheHit (2.01ms)
      • Illuminate\Cache\Events\CacheHit (1.06ms)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (1.24ms)
      • Illuminate\Cache\Events\CacheHit (636μs)
      • Illuminate\Cache\Events\CacheHit (192μs)
      • Illuminate\Cache\Events\CacheHit (314μs)
      • Illuminate\Cache\Events\CacheHit (4.2ms)
      • Illuminate\Cache\Events\CacheHit (379μs)
      • Illuminate\Cache\Events\CacheHit (324μs)
      • Illuminate\Cache\Events\CacheHit (9.76ms)
      • Illuminate\Cache\Events\CacheHit (2.46ms)
      • Illuminate\Cache\Events\CacheHit (603μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (283μs)
      • Illuminate\Cache\Events\CacheHit (333μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (337μs)
      • Illuminate\Cache\Events\CacheHit (297μs)
      • Illuminate\Cache\Events\CacheHit (830μs)
      • Illuminate\Cache\Events\CacheHit (196μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (198μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (536μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (8.34ms)
      • Illuminate\Cache\Events\CacheHit (215μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (156μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (156μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (154μs)
      • Illuminate\Cache\Events\CacheHit (343μs)
      • Illuminate\Cache\Events\CacheHit (287μs)
      • Illuminate\Cache\Events\CacheHit (330μs)
      • Illuminate\Cache\Events\CacheHit (183μs)
      • Illuminate\Cache\Events\CacheHit (270μs)
      • Illuminate\Cache\Events\CacheHit (264μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (267μs)
      • Illuminate\Cache\Events\CacheHit (1.21ms)
      • Illuminate\Cache\Events\CacheHit (420μs)
      • Illuminate\Cache\Events\CacheHit (581μs)
      • Illuminate\Cache\Events\CacheHit (1.03ms)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (174μs)
      • Illuminate\Cache\Events\CacheHit (160μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (156μs)
      • Illuminate\Cache\Events\CacheHit (8.66ms)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (133μs)
      • Illuminate\Cache\Events\CacheHit (103μs)
      • Illuminate\Cache\Events\CacheHit (117μs)
      • Illuminate\Cache\Events\CacheHit (163μs)
      • Illuminate\Cache\Events\CacheHit (121μs)
      • Illuminate\Cache\Events\CacheHit (450μs)
      • Illuminate\Cache\Events\CacheHit (234μs)
      • Illuminate\Cache\Events\CacheHit (385μs)
      • Illuminate\Cache\Events\CacheHit (522μs)
      • Illuminate\Cache\Events\CacheHit (354μs)
      • Illuminate\Cache\Events\CacheHit (543μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (229μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (378μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (257μs)
      • Illuminate\Cache\Events\CacheHit (224μs)
      • Illuminate\Cache\Events\CacheHit (280μs)
      • Illuminate\Cache\Events\CacheHit (414μs)
      • Illuminate\Cache\Events\CacheHit (266μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (272μs)
      • Illuminate\Cache\Events\CacheHit (285μs)
      • Illuminate\Cache\Events\CacheHit (174μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (299μs)
      • Illuminate\Cache\Events\CacheHit (323μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (229μs)
      • Illuminate\Cache\Events\CacheHit (316μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (241μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (232μs)
      • Illuminate\Cache\Events\CacheHit (249μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (214μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (596μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (315μs)
      • Illuminate\Cache\Events\CacheHit (216μs)
      • Illuminate\Cache\Events\CacheHit (174μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (158μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (163μs)
      • Illuminate\Cache\Events\CacheHit (183μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (246μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (163μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (266μs)
      • Illuminate\Cache\Events\CacheHit (234μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (326μs)
      • Illuminate\Cache\Events\CacheHit (246μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (306μs)
      • Illuminate\Cache\Events\CacheHit (199μs)
      • Illuminate\Cache\Events\CacheHit (297μs)
      • Illuminate\Cache\Events\CacheHit (202μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (321μs)
      • Illuminate\Cache\Events\CacheHit (317μs)
      • Illuminate\Cache\Events\CacheHit (206μs)
      • Illuminate\Cache\Events\CacheHit (292μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (296μs)
      • Illuminate\Cache\Events\CacheHit (381μs)
      • Illuminate\Cache\Events\CacheHit (310μs)
      • Illuminate\Cache\Events\CacheHit (623μs)
      • Illuminate\Cache\Events\CacheHit (280μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (230μs)
      • Illuminate\Cache\Events\CacheHit (342μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (209μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (2.22ms)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (214μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (349μs)
      • Illuminate\Cache\Events\CacheHit (221μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (264μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (348μs)
      • Illuminate\Cache\Events\CacheHit (240μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (228μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (289μs)
      • Illuminate\Cache\Events\CacheHit (328μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (208μs)
      • Illuminate\Cache\Events\CacheHit (174μs)
      • Illuminate\Cache\Events\CacheHit (297μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (305μs)
      • Illuminate\Cache\Events\CacheHit (364μs)
      • Illuminate\Cache\Events\CacheHit (550μs)
      • Illuminate\Cache\Events\CacheHit (533μs)
      • Illuminate\Cache\Events\CacheHit (359μs)
      • Illuminate\Cache\Events\CacheHit (309μs)
      • Illuminate\Cache\Events\CacheHit (356μs)
      • Illuminate\Cache\Events\CacheHit (499μs)
      • Illuminate\Cache\Events\CacheHit (473μs)
      • Illuminate\Cache\Events\CacheHit (272μs)
      • Illuminate\Cache\Events\CacheHit (1.63ms)
      • Illuminate\Cache\Events\CacheHit (238μs)
      • Illuminate\Cache\Events\CacheHit (584μs)
      • Illuminate\Cache\Events\CacheHit (339μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (221μs)
      • Illuminate\Cache\Events\CacheHit (469μs)
      • Illuminate\Cache\Events\CacheHit (308μs)
      • Illuminate\Cache\Events\CacheHit (241μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (412μs)
      • Illuminate\Cache\Events\CacheHit (286μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (160μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (155μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (293μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (255μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (152μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (153μs)
      • Illuminate\Cache\Events\CacheHit (275μs)
      • Illuminate\Cache\Events\CacheHit (231μs)
      • Illuminate\Cache\Events\CacheHit (331μs)
      • Illuminate\Cache\Events\CacheHit (514μs)
      • Illuminate\Cache\Events\CacheHit (454μs)
      • Illuminate\Cache\Events\CacheHit (233μs)
      • Illuminate\Cache\Events\CacheMissed (294μs)
      • Illuminate\Database\Events\StatementPrepared (880μs)
      • Illuminate\Database\Events\QueryExecuted (1.12ms)
      • eloquent.retrieved: App\Models\SubjectCat (168μs)
      • Illuminate\Cache\Events\KeyWritten (348μs)
      • Illuminate\Cache\Events\CacheHit (216μs)
      • Illuminate\Cache\Events\CacheHit (209μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (267μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (192μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (214μs)
      • Illuminate\Cache\Events\CacheHit (156μs)
      • Illuminate\Cache\Events\CacheHit (255μs)
      • Illuminate\Cache\Events\CacheHit (219μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (221μs)
      • Illuminate\Cache\Events\CacheHit (206μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • creating: site.layouts.app (475μs)
      • composing: site.layouts.app (23μs)
      • creating: components.canonical (573μs)
      • composing: components.canonical (112μs)
      • creating: components.open-graph (280μs)
      • composing: components.open-graph (174μs)
      • creating: site.headers.header (349μs)
      • composing: site.headers.header (87μs)
      • Illuminate\Cache\Events\CacheHit (2.77ms)
      • creating: components.footer (261μs)
      • composing: components.footer (161μs)
      • Illuminate\Cache\Events\CacheHit (1.06ms)
      • Illuminate\Cache\Events\CacheMissed (366μs)
      • Illuminate\Database\Events\StatementPrepared (763μs)
      • Illuminate\Database\Events\QueryExecuted (1.09ms)
      • eloquent.retrieved: App\Models\SubjectCat (145μs)
      • Illuminate\Cache\Events\KeyWritten (376μs)
      • Illuminate\Cache\Events\CacheHit (288μs)
      • Illuminate\Cache\Events\CacheHit (359μs)
      • Illuminate\Cache\Events\CacheHit (338μs)
      • Illuminate\Cache\Events\CacheHit (490μs)
      • Illuminate\Cache\Events\CacheHit (370μs)
      • Illuminate\Cache\Events\CacheHit (536μs)
      • Illuminate\Cache\Events\CacheHit (358μs)
      • Illuminate\Cache\Events\CacheHit (217μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (505μs)
      • Illuminate\Cache\Events\CacheHit (208μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • creating: components.forms.contact-us (406μs)
      • composing: components.forms.contact-us (231μs)
      • creating: components.forms.get-started (185μs)
      • composing: components.forms.get-started (83μs)
      • creating: components.forms.free-tool-download (168μs)
      • composing: components.forms.free-tool-download (76μs)
      • creating: components.forms.claim-free-worksheet (138μs)
      • composing: components.forms.claim-free-worksheet (74μs)
      • creating: components.forms.tutor-subscription-waitlist (399μs)
      • composing: components.forms.tutor-subscription-waitlist (141μs)
      • creating: components.forms.tutor-subscription-join (347μs)
      • composing: components.forms.tutor-subscription-join (76μs)
      • creating: components.forms.tutor-support (202μs)
      • composing: components.forms.tutor-support (78μs)
      • 315 x Illuminate\Cache\Events\CacheHit (21.75%)
        158ms
        16 x Illuminate\Database\Events\StatementPrepared (5.06%)
        36.72ms
        16 x Illuminate\Database\Events\QueryExecuted (3.65%)
        26.45ms
        7 x Illuminate\Cache\Events\CacheMissed (1.12%)
        8.13ms
        1 x Illuminate\Foundation\Events\LocaleUpdated (0.81%)
        5.88ms
        7 x Illuminate\Cache\Events\KeyWritten (0.61%)
        4.46ms
        1 x Illuminate\Routing\Events\Routing (0.21%)
        1.54ms
        8 x eloquent.retrieved: App\Models\SubjectCat (0.18%)
        1.29ms
        1 x Illuminate\Database\Events\ConnectionEstablished (0.14%)
        988μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.09%)
        640μs
        1 x creating: components.canonical (0.08%)
        573μs
        7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.07%)
        501μs
        1 x creating: site.layouts.app (0.07%)
        475μs
        1 x creating: homework.show (0.06%)
        421μs
        1 x Illuminate\Routing\Events\RouteMatched (0.06%)
        418μs
        1 x creating: components.forms.contact-us (0.06%)
        406μs
        1 x creating: components.forms.tutor-subscription-waitlist (0.05%)
        399μs
        1 x creating: components.breadcrumbs (0.05%)
        368μs
        2 x eloquent.retrieved: App\Models\Subject (0.05%)
        353μs
        1 x creating: site.headers.header (0.05%)
        349μs
        1 x creating: components.forms.tutor-subscription-join (0.05%)
        347μs
        1 x eloquent.booting: App\Models\SubjectCat (0.05%)
        331μs
        1 x creating: components.open-graph (0.04%)
        280μs
        1 x creating: components.footer (0.04%)
        261μs
        1 x composing: components.forms.contact-us (0.03%)
        231μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%)
        214μs
        1 x creating: components.forms.tutor-support (0.03%)
        202μs
        1 x composing: homework.show (0.03%)
        190μs
        1 x creating: components.forms.get-started (0.03%)
        185μs
        1 x composing: components.breadcrumbs (0.03%)
        182μs
        1 x composing: components.open-graph (0.02%)
        174μs
        1 x creating: components.forms.free-tool-download (0.02%)
        168μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.02%)
        166μs
        1 x composing: components.footer (0.02%)
        161μs
        1 x eloquent.booting: App\Models\Subject (0.02%)
        153μs
        2 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.02%)
        145μs
        1 x composing: components.forms.tutor-subscription-waitlist (0.02%)
        141μs
        1 x creating: components.forms.claim-free-worksheet (0.02%)
        138μs
        1 x composing: components.canonical (0.02%)
        112μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)
        101μs
        1 x composing: site.headers.header (0.01%)
        87μs
        1 x composing: components.forms.get-started (0.01%)
        83μs
        1 x composing: components.forms.tutor-support (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 composing: components.forms.claim-free-worksheet (0.01%)
        74μs
        1 x eloquent.booted: App\Models\Subject (0.01%)
        61μs
        1 x eloquent.booted: App\Models\SubjectCat (0.01%)
        56μs
        1 x composing: site.layouts.app (0%)
        23μs
      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
      16 statements were executed, 5 of which were duplicates, 11 unique. Show only duplicated42.7ms
      • 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` = '57999' limit 1
        9.29mstwenty4_siteHomeworkLibraryController.php#97
        Bindings
        • 0: published
        • 1: 0
        • 2: 57999
        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 (1)
        1.12mstwenty4_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 (57999)
        5.62mstwenty4_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` = 1 limit 1
        1.1mstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 1
        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` <> 57999 and `subject` = 1 and `status` = 'published' and `price` > 0 order by RAND() limit 6
        3.24mstwenty4_siteHomeworkLibraryRepository.php#30
        Bindings
        • 0: 57999
        • 1: 1
        • 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 (1)
        3.67mstwenty4_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` = 57999 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc
        980μstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 57999
        • 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` = 57999 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc
        1.07mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 57999
        • 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` = 57999 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc
        1.06mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 57999
        • 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` = 1 limit 1
        1.2mstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 1
        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` = 1 limit 1
        2.79mstwenty4_siteSubject.php#100
        Bindings
        • 0: 1
        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` = 3 limit 1
        3.23mstwenty4_siteSubject.php#100
        Bindings
        • 0: 3
        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` = 4 limit 1
        4.87mstwenty4_siteSubject.php#100
        Bindings
        • 0: 4
        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` = 10 limit 1
        1.12mstwenty4_siteSubject.php#100
        Bindings
        • 0: 10
        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
        1.22mstwenty4_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
        1.12mstwenty4_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\SubjectCat
      8SubjectCat.php
      App\Models\HomeworkLibrary\HomeworkLibrary
      7HomeworkLibrary.php
      App\Models\Subject
      2Subject.php
      App\Models\HomeworkLibrary\HomeworkLibraryFile
      2HomeworkLibraryFile.php
          _token
          VWBpslwsBXEKpnKJfZZaWpP1bwqkLJShjQQ0KrOX
          utm_source
          direct
          redirectUrl
          /college-homework-library/Mathematics/Basic-Math/57999
          _previous
          array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Mathematics/Bas...
          _flash
          array:2 [ "old" => [] "new" => [] ]
          PHPDEBUGBAR_STACK_DATA
          []
          path_info
          /college-homework-library/Mathematics/Basic-Math/57999
          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=1-67fbe8e9-39cb6a0715532b0d69e91635" ] "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 => "18.222.220.80" ] "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 16:40:10 GMT" ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IlhmQng0Rm5Oa2wyMkVGMzZSSmJOd1E9PSIsInZhbHVlIjoiT1FDSXlhQkFZaW9mZ0plamwwVDNNV01pNWlUS2ZRcEE2R2p3V3VBdGQxM1pGMWYraHp4OHVETzdmMG83RzA4SGZRMHpubm5MMFNtTGxoa0FoQ3Raa211T09sTnFnczRmY3lNYU5JeUlBam5IdTNRcDlCbUl2eGRRRVljOWs4V04iLCJtYWMiOiI4NTAxM2U0NWEwNGYxODA5Mzg4MjgwNjU1MzA2OTI5MGE3MTk1OTljNjZhYjIwZTYxODBjNDI3ZGI5MjZkN2ZiIiwidGFnIjoiIn0%3D; expires=Sun, 13 Apr 2025 18:40:10 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; samesite=laxXSRF-TOKEN=eyJpdiI6IlhmQng0Rm5Oa2wyMkVGMzZSSmJOd1E9PSIsInZhbHVlIjoiT1FDSXlhQkFZaW9mZ0plamwwVDNNV01pNWlUS2ZRcEE2R2p3V3VBdGQxM1pGMWYraHp4OHVETzdmMG83RzA4SGZRMHpub" 1 => "24houranswers_session=eyJpdiI6IlpNenNUdXFhVW5uaVRMVTZwdnEvZ3c9PSIsInZhbHVlIjoiZmtJZ2VwcGJhSi9Fd3drV2pGbHhqMC9zRGYwZWczNTYzUkR2dVQxZVlxbHUzUVluY1JnbHdheVhSeDJpMURmbVBRdCtVMWw3WWJjcjdkTmtUU1VvaTZXaWowN2RtV1cxN2ZQVml0ODZTZzhHSHJmVHIwMjRmN01RM2lxSFZPelYiLCJtYWMiOiI2YmUxMjdhY2ViYzEwMjU4ZWIxYzQzZjYyNmNkN2I1NDFhODNhOTQxZTYxZGNkMDRkOTFjNWE5N2QyODg4ODg3IiwidGFnIjoiIn0%3D; expires=Sun, 13 Apr 2025 18:40:10 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; httponly; samesite=lax24houranswers_session=eyJpdiI6IlpNenNUdXFhVW5uaVRMVTZwdnEvZ3c9PSIsInZhbHVlIjoiZmtJZ2VwcGJhSi9Fd3drV2pGbHhqMC9zRGYwZWczNTYzUkR2dVQxZVlxbHUzUVluY1JnbHdheVhSeDJpMU" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IlhmQng0Rm5Oa2wyMkVGMzZSSmJOd1E9PSIsInZhbHVlIjoiT1FDSXlhQkFZaW9mZ0plamwwVDNNV01pNWlUS2ZRcEE2R2p3V3VBdGQxM1pGMWYraHp4OHVETzdmMG83RzA4SGZRMHpubm5MMFNtTGxoa0FoQ3Raa211T09sTnFnczRmY3lNYU5JeUlBam5IdTNRcDlCbUl2eGRRRVljOWs4V04iLCJtYWMiOiI4NTAxM2U0NWEwNGYxODA5Mzg4MjgwNjU1MzA2OTI5MGE3MTk1OTljNjZhYjIwZTYxODBjNDI3ZGI5MjZkN2ZiIiwidGFnIjoiIn0%3D; expires=Sun, 13-Apr-2025 18:40:10 GMT; domain=.24houranswers.com; path=/XSRF-TOKEN=eyJpdiI6IlhmQng0Rm5Oa2wyMkVGMzZSSmJOd1E9PSIsInZhbHVlIjoiT1FDSXlhQkFZaW9mZ0plamwwVDNNV01pNWlUS2ZRcEE2R2p3V3VBdGQxM1pGMWYraHp4OHVETzdmMG83RzA4SGZRMHpub" 1 => "24houranswers_session=eyJpdiI6IlpNenNUdXFhVW5uaVRMVTZwdnEvZ3c9PSIsInZhbHVlIjoiZmtJZ2VwcGJhSi9Fd3drV2pGbHhqMC9zRGYwZWczNTYzUkR2dVQxZVlxbHUzUVluY1JnbHdheVhSeDJpMURmbVBRdCtVMWw3WWJjcjdkTmtUU1VvaTZXaWowN2RtV1cxN2ZQVml0ODZTZzhHSHJmVHIwMjRmN01RM2lxSFZPelYiLCJtYWMiOiI2YmUxMjdhY2ViYzEwMjU4ZWIxYzQzZjYyNmNkN2I1NDFhODNhOTQxZTYxZGNkMDRkOTFjNWE5N2QyODg4ODg3IiwidGFnIjoiIn0%3D; expires=Sun, 13-Apr-2025 18:40:10 GMT; domain=.24houranswers.com; path=/; httponly24houranswers_session=eyJpdiI6IlpNenNUdXFhVW5uaVRMVTZwdnEvZ3c9PSIsInZhbHVlIjoiZmtJZ2VwcGJhSi9Fd3drV2pGbHhqMC9zRGYwZWczNTYzUkR2dVQxZVlxbHUzUVluY1JnbHdheVhSeDJpMU" ] ]
          session_attributes
          0 of 0
          array:6 [ "_token" => "VWBpslwsBXEKpnKJfZZaWpP1bwqkLJShjQQ0KrOX" "utm_source" => "direct" "redirectUrl" => "/college-homework-library/Mathematics/Basic-Math/57999" "_previous" => array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Mathematics/Basic-Math/57999" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]