Cost of Laying Cable. S represents the position of a power relay st...

Question
Cost of Laying Cable. S represents the position of a power relay station located on a straight coastal highway, and M shows the location of a marine biology experimental station on a nearby island. A cable is to laid connecting the relay station at S with the experimental station at M via the point Q that lines on the x-axis between O and S. If the cost of running the cable on land is $3 per running foot and the cost of running cable under water is $5 per running foot, find an expression in terms of x that gives the total of laying the cable. Use this expression to find the total cost when x=1500 and when x =2500.

   y (feet)
   |M (0,3000)
   |
   |__________ _______>x (feet)
0 | Q(x,0) S(10,000,0)
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.

Total Cost =3 MQ +5 SQ Using distance formula
=3 sqrt(x^2 + 9000000) + 5*10000
at x = 1500 ,
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
$4.50
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)
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 Version739msRequest Duration45MBMemory UsageGET college-homework-library/{category}/{subject}/{id}Route
    • Booting (411ms)time
    • Application (328ms)time
    • 1 x Booting (55.59%)
      411ms
      1 x Application (44.41%)
      328ms
      • Illuminate\Routing\Events\Routing (2.09ms)
      • Illuminate\Routing\Events\RouteMatched (657μs)
      • Illuminate\Foundation\Events\LocaleUpdated (5.87ms)
      • eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (253μs)
      • eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (219μs)
      • Illuminate\Database\Events\ConnectionEstablished (1.43ms)
      • Illuminate\Database\Events\StatementPrepared (13.83ms)
      • Illuminate\Database\Events\QueryExecuted (1.61ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (205μs)
      • eloquent.booting: App\Models\Subject (423μs)
      • eloquent.booted: App\Models\Subject (65μs)
      • Illuminate\Database\Events\StatementPrepared (2.66ms)
      • Illuminate\Database\Events\QueryExecuted (2.77ms)
      • eloquent.retrieved: App\Models\Subject (320μs)
      • eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (200μs)
      • eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (174μs)
      • Illuminate\Database\Events\StatementPrepared (928μs)
      • Illuminate\Database\Events\QueryExecuted (4.87ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (464μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (23μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (7μs)
      • eloquent.booting: App\Models\SubjectCat (321μs)
      • eloquent.booted: App\Models\SubjectCat (44μs)
      • Illuminate\Database\Events\StatementPrepared (971μs)
      • Illuminate\Database\Events\QueryExecuted (854μs)
      • eloquent.retrieved: App\Models\SubjectCat (89μs)
      • Illuminate\Cache\Events\CacheHit (12.28ms)
      • Illuminate\Cache\Events\CacheMissed (782μs)
      • Illuminate\Database\Events\StatementPrepared (1ms)
      • Illuminate\Database\Events\QueryExecuted (4.42ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (153μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (20μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (10μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (7μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (34μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (15μs)
      • Illuminate\Database\Events\StatementPrepared (880μs)
      • Illuminate\Database\Events\QueryExecuted (1.52ms)
      • eloquent.retrieved: App\Models\Subject (372μs)
      • Illuminate\Cache\Events\KeyWritten (1.32ms)
      • Illuminate\Database\Events\StatementPrepared (3.35ms)
      • Illuminate\Database\Events\QueryExecuted (2.46ms)
      • Illuminate\Database\Events\StatementPrepared (7.65ms)
      • Illuminate\Database\Events\QueryExecuted (1.47ms)
      • Illuminate\Database\Events\StatementPrepared (981μs)
      • Illuminate\Database\Events\QueryExecuted (1.33ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (77μs)
      • Illuminate\Cache\Events\CacheHit (985μs)
      • creating: homework.show (596μs)
      • composing: homework.show (108μs)
      • creating: components.breadcrumbs (551μs)
      • composing: components.breadcrumbs (144μs)
      • Illuminate\Database\Events\StatementPrepared (25.77ms)
      • Illuminate\Database\Events\QueryExecuted (4.6ms)
      • eloquent.retrieved: App\Models\SubjectCat (133μs)
      • Illuminate\Cache\Events\CacheHit (4.22ms)
      • Illuminate\Cache\Events\CacheHit (212μs)
      • Illuminate\Cache\Events\CacheHit (289μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (163μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (420μs)
      • Illuminate\Cache\Events\CacheHit (211μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (216μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (8.44ms)
      • Illuminate\Cache\Events\CacheHit (372μs)
      • Illuminate\Cache\Events\CacheHit (361μs)
      • Illuminate\Cache\Events\CacheHit (217μs)
      • Illuminate\Cache\Events\CacheHit (215μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (208μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (305μs)
      • Illuminate\Cache\Events\CacheHit (287μs)
      • Illuminate\Cache\Events\CacheHit (225μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (280μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (209μs)
      • Illuminate\Cache\Events\CacheHit (737μs)
      • Illuminate\Cache\Events\CacheHit (272μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (209μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (297μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (488μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (257μs)
      • Illuminate\Cache\Events\CacheHit (385μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (4.28ms)
      • Illuminate\Cache\Events\CacheHit (377μs)
      • Illuminate\Cache\Events\CacheHit (363μs)
      • Illuminate\Cache\Events\CacheHit (206μs)
      • Illuminate\Cache\Events\CacheHit (442μs)
      • Illuminate\Cache\Events\CacheHit (443μs)
      • Illuminate\Cache\Events\CacheHit (573μs)
      • Illuminate\Cache\Events\CacheHit (211μs)
      • Illuminate\Cache\Events\CacheHit (336μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (225μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (307μs)
      • Illuminate\Cache\Events\CacheHit (232μs)
      • Illuminate\Cache\Events\CacheHit (212μs)
      • Illuminate\Cache\Events\CacheHit (242μs)
      • Illuminate\Cache\Events\CacheHit (353μs)
      • Illuminate\Cache\Events\CacheHit (15.24ms)
      • Illuminate\Cache\Events\CacheHit (463μs)
      • Illuminate\Cache\Events\CacheHit (220μs)
      • Illuminate\Cache\Events\CacheHit (219μs)
      • Illuminate\Cache\Events\CacheHit (280μs)
      • Illuminate\Cache\Events\CacheHit (249μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (351μs)
      • Illuminate\Cache\Events\CacheHit (259μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (337μs)
      • Illuminate\Cache\Events\CacheHit (358μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (8.49ms)
      • Illuminate\Cache\Events\CacheHit (393μs)
      • Illuminate\Cache\Events\CacheHit (265μs)
      • Illuminate\Cache\Events\CacheHit (307μs)
      • Illuminate\Cache\Events\CacheHit (255μs)
      • Illuminate\Cache\Events\CacheHit (273μs)
      • Illuminate\Cache\Events\CacheHit (216μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (227μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (163μs)
      • Illuminate\Cache\Events\CacheHit (196μs)
      • Illuminate\Cache\Events\CacheHit (158μs)
      • Illuminate\Cache\Events\CacheHit (257μs)
      • Illuminate\Cache\Events\CacheHit (199μs)
      • Illuminate\Cache\Events\CacheHit (530μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (252μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (237μs)
      • Illuminate\Cache\Events\CacheHit (345μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (212μs)
      • Illuminate\Cache\Events\CacheHit (510μs)
      • Illuminate\Cache\Events\CacheHit (233μs)
      • Illuminate\Cache\Events\CacheHit (285μs)
      • Illuminate\Cache\Events\CacheHit (278μs)
      • Illuminate\Cache\Events\CacheHit (7.36ms)
      • Illuminate\Cache\Events\CacheHit (2.72ms)
      • Illuminate\Cache\Events\CacheHit (440μs)
      • Illuminate\Cache\Events\CacheHit (439μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (391μs)
      • Illuminate\Cache\Events\CacheHit (209μs)
      • Illuminate\Cache\Events\CacheHit (974μs)
      • Illuminate\Cache\Events\CacheHit (174μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (265μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (160μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (224μs)
      • Illuminate\Cache\Events\CacheHit (198μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (160μs)
      • Illuminate\Cache\Events\CacheHit (288μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (219μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (8.46ms)
      • Illuminate\Cache\Events\CacheHit (271μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (160μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (152μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (153μs)
      • Illuminate\Cache\Events\CacheHit (196μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (282μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (334μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (278μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • Illuminate\Cache\Events\CacheHit (155μs)
      • Illuminate\Cache\Events\CacheHit (238μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (156μs)
      • Illuminate\Cache\Events\CacheHit (251μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (156μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (386μs)
      • Illuminate\Cache\Events\CacheHit (231μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (219μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (299μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (183μs)
      • Illuminate\Cache\Events\CacheHit (153μs)
      • Illuminate\Cache\Events\CacheHit (4.3ms)
      • Illuminate\Cache\Events\CacheHit (265μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (260μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (254μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (157μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (387μs)
      • Illuminate\Cache\Events\CacheHit (284μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (198μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (264μs)
      • Illuminate\Cache\Events\CacheHit (272μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (153μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (149μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (157μs)
      • Illuminate\Cache\Events\CacheHit (210μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (9.74ms)
      • Illuminate\Cache\Events\CacheHit (368μs)
      • Illuminate\Cache\Events\CacheHit (225μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (158μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (266μs)
      • Illuminate\Cache\Events\CacheHit (246μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (1.3ms)
      • Illuminate\Cache\Events\CacheHit (1.05ms)
      • Illuminate\Cache\Events\CacheHit (275μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (456μs)
      • Illuminate\Cache\Events\CacheHit (208μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (163μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (8.46ms)
      • Illuminate\Cache\Events\CacheHit (349μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (196μs)
      • Illuminate\Cache\Events\CacheHit (153μs)
      • Illuminate\Cache\Events\CacheHit (233μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (143μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (142μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (142μs)
      • Illuminate\Cache\Events\CacheHit (423μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (270μs)
      • Illuminate\Cache\Events\CacheHit (307μs)
      • Illuminate\Cache\Events\CacheHit (9.11ms)
      • Illuminate\Cache\Events\CacheHit (380μs)
      • Illuminate\Cache\Events\CacheHit (651μs)
      • Illuminate\Cache\Events\CacheHit (364μs)
      • Illuminate\Cache\Events\CacheHit (232μs)
      • Illuminate\Cache\Events\CacheHit (243μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (148μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (150μs)
      • Illuminate\Cache\Events\CacheHit (1.5ms)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (790μs)
      • Illuminate\Cache\Events\CacheHit (290μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (150μs)
      • Illuminate\Cache\Events\CacheHit (1.46ms)
      • Illuminate\Cache\Events\CacheHit (206μs)
      • Illuminate\Cache\Events\CacheHit (198μs)
      • Illuminate\Cache\Events\CacheHit (156μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (150μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (160μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (147μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (148μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (147μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (150μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (196μs)
      • Illuminate\Cache\Events\CacheHit (9.01ms)
      • Illuminate\Cache\Events\CacheHit (2.22ms)
      • Illuminate\Cache\Events\CacheHit (654μs)
      • Illuminate\Cache\Events\CacheHit (621μs)
      • Illuminate\Cache\Events\CacheHit (336μs)
      • Illuminate\Cache\Events\CacheHit (219μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (373μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (353μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (331μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (145μs)
      • Illuminate\Cache\Events\CacheHit (553μs)
      • Illuminate\Cache\Events\CacheHit (250μs)
      • creating: site.layouts.app (8.66ms)
      • composing: site.layouts.app (34μs)
      • creating: components.canonical (587μs)
      • composing: components.canonical (155μs)
      • creating: components.open-graph (331μs)
      • composing: components.open-graph (139μs)
      • creating: site.headers.header (837μs)
      • composing: site.headers.header (84μs)
      • Illuminate\Cache\Events\CacheHit (2.14ms)
      • creating: components.footer (329μs)
      • composing: components.footer (101μs)
      • Illuminate\Cache\Events\CacheHit (994μs)
      • Illuminate\Cache\Events\CacheHit (443μs)
      • Illuminate\Cache\Events\CacheHit (381μs)
      • Illuminate\Cache\Events\CacheHit (422μs)
      • Illuminate\Cache\Events\CacheHit (192μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (9.03ms)
      • Illuminate\Cache\Events\CacheHit (591μs)
      • Illuminate\Cache\Events\CacheHit (235μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (284μs)
      • Illuminate\Cache\Events\CacheHit (206μs)
      • creating: components.forms.contact-us (247μs)
      • composing: components.forms.contact-us (170μs)
      • creating: components.forms.get-started (225μs)
      • composing: components.forms.get-started (80μs)
      • creating: components.forms.free-tool-download (108μs)
      • composing: components.forms.free-tool-download (61μs)
      • creating: components.forms.claim-free-worksheet (240μs)
      • composing: components.forms.claim-free-worksheet (119μs)
      • creating: components.forms.tutor-subscription-waitlist (342μs)
      • composing: components.forms.tutor-subscription-waitlist (185μs)
      • creating: components.forms.tutor-subscription-join (202μs)
      • composing: components.forms.tutor-subscription-join (282μs)
      • creating: components.forms.tutor-support (237μs)
      • composing: components.forms.tutor-support (145μs)
      • 321 x Illuminate\Cache\Events\CacheHit (27.59%)
        204ms
        10 x Illuminate\Database\Events\StatementPrepared (7.85%)
        58.03ms
        10 x Illuminate\Database\Events\QueryExecuted (3.51%)
        25.90ms
        1 x creating: site.layouts.app (1.17%)
        8.66ms
        1 x Illuminate\Foundation\Events\LocaleUpdated (0.8%)
        5.87ms
        1 x Illuminate\Routing\Events\Routing (0.28%)
        2.09ms
        1 x Illuminate\Database\Events\ConnectionEstablished (0.19%)
        1.43ms
        1 x Illuminate\Cache\Events\KeyWritten (0.18%)
        1.32ms
        1 x creating: site.headers.header (0.11%)
        837μs
        1 x Illuminate\Cache\Events\CacheMissed (0.11%)
        782μs
        2 x eloquent.retrieved: App\Models\Subject (0.09%)
        692μs
        1 x Illuminate\Routing\Events\RouteMatched (0.09%)
        657μs
        1 x creating: homework.show (0.08%)
        596μs
        1 x creating: components.canonical (0.08%)
        587μs
        5 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.08%)
        580μs
        1 x creating: components.breadcrumbs (0.07%)
        551μs
        7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.06%)
        444μs
        1 x eloquent.booting: App\Models\Subject (0.06%)
        423μs
        1 x creating: components.forms.tutor-subscription-waitlist (0.05%)
        342μs
        1 x creating: components.open-graph (0.04%)
        331μs
        1 x creating: components.footer (0.04%)
        329μs
        1 x eloquent.booting: App\Models\SubjectCat (0.04%)
        321μs
        1 x composing: components.forms.tutor-subscription-join (0.04%)
        282μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%)
        253μs
        1 x creating: components.forms.contact-us (0.03%)
        247μs
        1 x creating: components.forms.claim-free-worksheet (0.03%)
        240μs
        1 x creating: components.forms.tutor-support (0.03%)
        237μs
        1 x creating: components.forms.get-started (0.03%)
        225μs
        2 x eloquent.retrieved: App\Models\SubjectCat (0.03%)
        222μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%)
        219μs
        1 x creating: components.forms.tutor-subscription-join (0.03%)
        202μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.03%)
        200μs
        1 x composing: components.forms.tutor-subscription-waitlist (0.03%)
        185μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.02%)
        174μs
        1 x composing: components.forms.contact-us (0.02%)
        170μs
        1 x composing: components.canonical (0.02%)
        155μs
        1 x composing: components.forms.tutor-support (0.02%)
        145μs
        1 x composing: components.breadcrumbs (0.02%)
        144μs
        1 x composing: components.open-graph (0.02%)
        139μs
        1 x composing: components.forms.claim-free-worksheet (0.02%)
        119μs
        1 x composing: homework.show (0.01%)
        108μs
        1 x creating: components.forms.free-tool-download (0.01%)
        108μs
        1 x composing: components.footer (0.01%)
        101μs
        1 x composing: site.headers.header (0.01%)
        84μs
        1 x composing: components.forms.get-started (0.01%)
        80μs
        1 x eloquent.booted: App\Models\Subject (0.01%)
        65μs
        1 x composing: components.forms.free-tool-download (0.01%)
        61μs
        1 x eloquent.booted: App\Models\SubjectCat (0.01%)
        44μs
        1 x composing: site.layouts.app (0%)
        34μs
      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
      10 statements were executed, 4 of which were duplicates, 6 unique. Show only duplicated47.93ms
      • 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` = '8752' limit 1
        14.09mstwenty4_siteHomeworkLibraryController.php#97
        Bindings
        • 0: published
        • 1: 0
        • 2: 8752
        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 (41)
        1.25mstwenty4_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 (8752)
        4.96mstwenty4_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
        1.22mstwenty4_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` <> 8752 and `subject` = 41 and `status` = 'published' and `price` > 0 order by RAND() limit 6
        4.24mstwenty4_siteHomeworkLibraryRepository.php#30
        Bindings
        • 0: 8752
        • 1: 41
        • 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 (41)
        1.15mstwenty4_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` = 8752 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc
        2.56mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 8752
        • 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` = 8752 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc
        8.09mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 8752
        • 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` = 8752 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc
        1.26mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 8752
        • 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
        9.11mstwenty4_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
      App\Models\HomeworkLibrary\HomeworkLibrary
      7HomeworkLibrary.php
      App\Models\HomeworkLibrary\HomeworkLibraryFile
      5HomeworkLibraryFile.php
      App\Models\Subject
      2Subject.php
      App\Models\SubjectCat
      2SubjectCat.php
          _token
          ouV4RM762GLb6KMjtXedpsYFoyUNl6xeYaZtaqiF
          utm_source
          direct
          redirectUrl
          /college-homework-library/Mathematics/Pre-Calculus/8752
          _previous
          array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Mathematics/Pre...
          _flash
          array:2 [ "old" => [] "new" => [] ]
          PHPDEBUGBAR_STACK_DATA
          []
          path_info
          /college-homework-library/Mathematics/Pre-Calculus/8752
          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=1-6807afca-7ae724af3d7d69ac4235a166" ] "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 => "18.223.134.71" ] "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 => "Tue, 22 Apr 2025 15:03:38 GMT" ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IkNvRkFPaEpiblZDUjNqYU1VdXZ0RHc9PSIsInZhbHVlIjoiTSs2cGlPTWlsYnFYZ1BUcGJtOFlsSHF3bm94VEdrSkF0a0llWDZUMkg4emY4dTFoWU9VL0swVFJ2UXQ1Qjd2a0VSemQ3QjFjOElEdm50ZmF1b3VmZHVVMHJxamV3clFCdVZHdjdSNEFQYzF4dmhFZVhnYnNYQXB1YVhDRy9lZlYiLCJtYWMiOiJjM2RhMTI4MTRiNmQxNWY3MGI4MWExODk1ODA1ODFmOTIxYzEzODA0NGQ5MjdkMDYwOTFlOWY1MzcyMTZmNGJmIiwidGFnIjoiIn0%3D; expires=Tue, 22 Apr 2025 17:03:38 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; samesite=laxXSRF-TOKEN=eyJpdiI6IkNvRkFPaEpiblZDUjNqYU1VdXZ0RHc9PSIsInZhbHVlIjoiTSs2cGlPTWlsYnFYZ1BUcGJtOFlsSHF3bm94VEdrSkF0a0llWDZUMkg4emY4dTFoWU9VL0swVFJ2UXQ1Qjd2a0VSemQ3Q" 1 => "24houranswers_session=eyJpdiI6IkZrdWxXaUNzYTZxQkpkczZiUmJuNXc9PSIsInZhbHVlIjoibEZMTlhpbEtQV05lVm5NM0Q0QVhDeUg0dzl1NHRCdkxVcm93elBYdlpiWDFpTllXRlM0OUJEcXdvb3JhdHRkemVYSW1XaEg1ZnFSelBkVnJjeGh0aXQ3WEdjZEFNYkF3eUhzelh4T3dUakpYdWNDRlhpMXNSRTJnd1VFZUI5RU4iLCJtYWMiOiIxZmViNDkzY2FkNTNkNDFiZDdjOTg5NGRmNGFhMzg2YWQ4ODg3NTRlYmJmMmEzOWQ4MGYyZDM5NjQ3MTBkYWQwIiwidGFnIjoiIn0%3D; expires=Tue, 22 Apr 2025 17:03:38 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; httponly; samesite=lax24houranswers_session=eyJpdiI6IkZrdWxXaUNzYTZxQkpkczZiUmJuNXc9PSIsInZhbHVlIjoibEZMTlhpbEtQV05lVm5NM0Q0QVhDeUg0dzl1NHRCdkxVcm93elBYdlpiWDFpTllXRlM0OUJEcXdvb3JhdH" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IkNvRkFPaEpiblZDUjNqYU1VdXZ0RHc9PSIsInZhbHVlIjoiTSs2cGlPTWlsYnFYZ1BUcGJtOFlsSHF3bm94VEdrSkF0a0llWDZUMkg4emY4dTFoWU9VL0swVFJ2UXQ1Qjd2a0VSemQ3QjFjOElEdm50ZmF1b3VmZHVVMHJxamV3clFCdVZHdjdSNEFQYzF4dmhFZVhnYnNYQXB1YVhDRy9lZlYiLCJtYWMiOiJjM2RhMTI4MTRiNmQxNWY3MGI4MWExODk1ODA1ODFmOTIxYzEzODA0NGQ5MjdkMDYwOTFlOWY1MzcyMTZmNGJmIiwidGFnIjoiIn0%3D; expires=Tue, 22-Apr-2025 17:03:38 GMT; domain=.24houranswers.com; path=/XSRF-TOKEN=eyJpdiI6IkNvRkFPaEpiblZDUjNqYU1VdXZ0RHc9PSIsInZhbHVlIjoiTSs2cGlPTWlsYnFYZ1BUcGJtOFlsSHF3bm94VEdrSkF0a0llWDZUMkg4emY4dTFoWU9VL0swVFJ2UXQ1Qjd2a0VSemQ3Q" 1 => "24houranswers_session=eyJpdiI6IkZrdWxXaUNzYTZxQkpkczZiUmJuNXc9PSIsInZhbHVlIjoibEZMTlhpbEtQV05lVm5NM0Q0QVhDeUg0dzl1NHRCdkxVcm93elBYdlpiWDFpTllXRlM0OUJEcXdvb3JhdHRkemVYSW1XaEg1ZnFSelBkVnJjeGh0aXQ3WEdjZEFNYkF3eUhzelh4T3dUakpYdWNDRlhpMXNSRTJnd1VFZUI5RU4iLCJtYWMiOiIxZmViNDkzY2FkNTNkNDFiZDdjOTg5NGRmNGFhMzg2YWQ4ODg3NTRlYmJmMmEzOWQ4MGYyZDM5NjQ3MTBkYWQwIiwidGFnIjoiIn0%3D; expires=Tue, 22-Apr-2025 17:03:38 GMT; domain=.24houranswers.com; path=/; httponly24houranswers_session=eyJpdiI6IkZrdWxXaUNzYTZxQkpkczZiUmJuNXc9PSIsInZhbHVlIjoibEZMTlhpbEtQV05lVm5NM0Q0QVhDeUg0dzl1NHRCdkxVcm93elBYdlpiWDFpTllXRlM0OUJEcXdvb3JhdH" ] ]
          session_attributes
          0 of 0
          array:6 [ "_token" => "ouV4RM762GLb6KMjtXedpsYFoyUNl6xeYaZtaqiF" "utm_source" => "direct" "redirectUrl" => "/college-homework-library/Mathematics/Pre-Calculus/8752" "_previous" => array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Mathematics/Pre-Calculus/8752" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]