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High School Math

Solving Inequalities

Take a look at this interesting math problem:

Solve (2x-9)(x-4) ≥ 0

For this inequality to have a value that is greater or equal to 0, it is also necessary for the product of both parts of the equation (the values in parenthesis) to be 0 or greater. This is possible in two cases:

1) Both sets of parentheses equate to 0 or more, as the product of the two values that are greater or equal to 0 is also always greater than or equal to 0, or -

2) Similarly, both sets of parentheses equate to less than or equal to 0, as the product of two negative or zero values is also always greater than or equal to 0.

Consequently the final result is the result of either case, but what is interesting here is that the final result is the union of the outcome of both cases, and at the same time (during the solving of the individual cases) both values must be greater or equal to 0 (per case 1) or less or equal to 0 (case 2). Let's look at the above example:

Case 1:

2x-9 ≥ 0 and x-4 ≥ 0

We have a value, x, that is greater than or equal to 9/2 and also a value of x that is greater than or equal to 4. The final result therefore is x ≥ 9/2

Case 2:

2x-9 ≤ 0 and x-4 ≤ 0

X is equal to or less than 9/2; x-4 is equal to less than 4. Therefore the final result is x ≤ 4

This means the solution to the problem example is either of these results: x ≤ 4 or x ≥ 9/2.

The Number Pi

Background

Those of you who have done maths at high school level or higher have encountered the special number called pi or π a few times. Whenever you want to calculate the circumference or area of a circle, it is used in the well-known formulas¹:

Circumference = pi * Diameter

Area = pi * Radius * Radius

It also appears in a number of other formulas, such as the volume of a sphere.

History

The earliest accounts of the number for pi appear to be from the Babylon culture, around 1900 – 1680 BC² . Scientists measuring the diameter and the circumference and the diameter realised that the quota between them was always the same, they got 3.125. The Egyptians and other early cultures then made advancements in the approximations, but it was not until the great Archimedes of Greece ∼287-212 BC, that the real breakthrough came. He used great trigonometric skills² to get it right within 99.9 % .

In 1761, it was proven by a Swiss mathematician that the number is irrational, i.e. the number of decimals are infinite³. This era also provided the name from the 16th letter in the Greek alphabet, π. The title was given by fellow great scientist and maths expert Leonhard Euler.

Number of digits

3,1415 and then, how many digits can you remember? Modern day computers have been able to calculate it up to 12 trillion digits, but the record, according to Guinness Book of Records, for a human stands at 67890, set by someone in China in 2005.

Pronunciation

There is a bit of discussion as to how the letter pi should be pronounced. The Greek sound is like ”pee”, but the English language uses the i sound as in ”pie”. Most other languages have stuck to the original Greek version⁴ .

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Illuminate\Cache\Events\CacheHit (202μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (219μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (217μs)
Illuminate\Cache\Events\CacheMissed (685μs)
Illuminate\Database\Events\StatementPrepared (900μs)
Illuminate\Database\Events\QueryExecuted (1ms)
eloquent.retrieved: App\Models\SubjectCat (105μs)
Illuminate\Cache\Events\KeyWritten (409μs)
Illuminate\Cache\Events\CacheHit (210μs)
Illuminate\Cache\Events\CacheHit (225μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (251μs)
Illuminate\Cache\Events\CacheHit (298μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (248μs)
Illuminate\Cache\Events\CacheHit (219μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (267μs)
creating: components.tutors-card (603μs)
composing: components.tutors-card (56μs)
Illuminate\Database\Events\StatementPrepared (1.02ms)
Illuminate\Database\Events\QueryExecuted (998μs)
Illuminate\Cache\Events\CacheHit (329μs)
Illuminate\Cache\Events\CacheHit (2.33ms)
Illuminate\Cache\Events\CacheHit (923μs)
Illuminate\Cache\Events\CacheHit (240μs)
Illuminate\Cache\Events\CacheHit (143μs)
Illuminate\Cache\Events\CacheHit (105μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (297μs)
Illuminate\Cache\Events\CacheHit (140μs)
Illuminate\Cache\Events\CacheHit (295μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (238μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (137μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (154μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (134μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (135μs)
Illuminate\Cache\Events\CacheHit (95μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (228μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (97μs)
Illuminate\Cache\Events\CacheHit (131μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (139μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (463μs)
Illuminate\Cache\Events\CacheHit (149μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (155μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (141μs)
Illuminate\Cache\Events\CacheHit (290μs)
Illuminate\Cache\Events\CacheHit (278μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (220μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (346μs)
Illuminate\Cache\Events\CacheHit (243μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (298μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (216μs)
Illuminate\Cache\Events\CacheHit (327μs)
Illuminate\Cache\Events\CacheHit (290μs)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (300μs)
Illuminate\Cache\Events\CacheHit (216μs)
Illuminate\Cache\Events\CacheHit (355μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (385μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (262μs)
Illuminate\Cache\Events\CacheHit (271μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (334μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (263μs)
Illuminate\Cache\Events\CacheHit (233μs)
Illuminate\Cache\Events\CacheMissed (878μs)
Illuminate\Database\Events\StatementPrepared (915μs)
Illuminate\Database\Events\QueryExecuted (1.06ms)
eloquent.retrieved: App\Models\SubjectCat (91μs)
Illuminate\Cache\Events\KeyWritten (571μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (221μs)
Illuminate\Cache\Events\CacheHit (333μs)
Illuminate\Cache\Events\CacheHit (408μs)
Illuminate\Cache\Events\CacheHit (225μs)
creating: components.tutors-card (900μs)
composing: components.tutors-card (67μs)
Illuminate\Database\Events\StatementPrepared (1.13ms)
Illuminate\Database\Events\QueryExecuted (995μs)
Illuminate\Cache\Events\CacheMissed (1.88ms)
Illuminate\Cache\Events\CacheMissed (3.61ms)
Illuminate\Database\Events\StatementPrepared (970μs)
Illuminate\Database\Events\QueryExecuted (2.3ms)
eloquent.retrieved: App\Models\Subject (100μs)
eloquent.retrieved: App\Models\Subject (15μs)
eloquent.retrieved: App\Models\Subject (8μs)
eloquent.retrieved: App\Models\Subject (7μs)
eloquent.retrieved: App\Models\Subject (7μs)
eloquent.retrieved: App\Models\Subject (5μs)
eloquent.retrieved: App\Models\Subject (6μs)
eloquent.retrieved: App\Models\Subject (6μs)
eloquent.retrieved: App\Models\Subject (5μs)
eloquent.retrieved: App\Models\Subject (6μs)
Illuminate\Database\Events\StatementPrepared (635μs)
Illuminate\Database\Events\QueryExecuted (1.37ms)
eloquent.retrieved: App\Models\SubjectCat (68μs)
eloquent.retrieved: App\Models\SubjectCat (14μs)
eloquent.retrieved: App\Models\SubjectCat (8μs)
Illuminate\Cache\Events\KeyWritten (1.48ms)
Illuminate\Cache\Events\KeyWritten (414μs)
Illuminate\Cache\Events\CacheHit (423μs)
Illuminate\Cache\Events\CacheHit (810μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (102μs)
Illuminate\Cache\Events\CacheHit (130μs)
Illuminate\Cache\Events\CacheHit (318μs)
Illuminate\Cache\Events\CacheHit (131μs)
Illuminate\Cache\Events\CacheHit (142μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (99μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (153μs)
Illuminate\Cache\Events\CacheHit (302μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheHit (93μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (245μs)
creating: components.tutors-card (374μs)
composing: components.tutors-card (52μs)
Illuminate\Database\Events\StatementPrepared (824μs)
Illuminate\Database\Events\QueryExecuted (767μs)
Illuminate\Cache\Events\CacheHit (368μs)
Illuminate\Cache\Events\CacheHit (500μs)
Illuminate\Cache\Events\CacheHit (471μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (376μs)
Illuminate\Cache\Events\CacheHit (153μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (147μs)
Illuminate\Cache\Events\CacheHit (101μs)
Illuminate\Cache\Events\CacheHit (333μs)
Illuminate\Cache\Events\CacheHit (316μs)
Illuminate\Cache\Events\CacheHit (274μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (217μs)
Illuminate\Cache\Events\CacheHit (265μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (251μs)
Illuminate\Cache\Events\CacheHit (504μs)
Illuminate\Cache\Events\CacheHit (270μs)
Illuminate\Cache\Events\CacheHit (274μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (258μs)
Illuminate\Cache\Events\CacheHit (284μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (162μs)
creating: site.blocks.subject-homework (671μs)
composing: site.blocks.subject-homework (24μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (225μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (126μs)
Illuminate\Database\Events\StatementPrepared (1.07ms)
Illuminate\Database\Events\QueryExecuted (1.66ms)
Illuminate\Database\Events\StatementPrepared (720μs)
Illuminate\Database\Events\QueryExecuted (1.81ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (108μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (21μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (14μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (13μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (12μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (10μs)
Illuminate\Database\Events\StatementPrepared (795μs)
Illuminate\Database\Events\QueryExecuted (800μs)
eloquent.retrieved: App\Models\Subject (88μs)
Illuminate\Database\Events\StatementPrepared (571μs)
Illuminate\Database\Events\QueryExecuted (677μs)
eloquent.retrieved: App\Models\SubjectCat (67μs)
creating: components.homework-blocks (177μs)
composing: components.homework-blocks (76μs)
creating: site.blocks.reviews (647μs)
composing: site.blocks.reviews (16μs)
creating: site.blocks.submit-homework (108μs)
composing: site.blocks.submit-homework (13μs)
creating: site.blocks.faq (80μs)
composing: site.blocks.faq (28μs)
eloquent.booting: App\Models\Twill\TwillFaq (459μs)
eloquent.booted: App\Models\Twill\TwillFaq (176μs)
eloquent.booting: App\Models\Twill\Slugs\TwillFaqSlug (213μs)
eloquent.booted: App\Models\Twill\Slugs\TwillFaqSlug (71μs)
Illuminate\Database\Events\StatementPrepared (791μs)
Illuminate\Database\Events\QueryExecuted (1.41ms)
eloquent.retrieved: App\Models\Twill\TwillFaq (183μs)
Illuminate\Database\Events\StatementPrepared (1.09ms)
Illuminate\Database\Events\QueryExecuted (853μs)
eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (76μs)
eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (19μs)
creating: components.faq-item (121μs)
composing: components.faq-item (104μs)
Illuminate\Database\Events\StatementPrepared (1.16ms)
Illuminate\Database\Events\QueryExecuted (893μs)
eloquent.retrieved: App\Models\Twill\TwillFaq (89μs)
Illuminate\Database\Events\StatementPrepared (705μs)
Illuminate\Database\Events\QueryExecuted (974μs)
eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (60μs)
eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (14μs)
creating: components.faq-item (54μs)
composing: components.faq-item (107μs)
Illuminate\Database\Events\StatementPrepared (1.27ms)
Illuminate\Database\Events\QueryExecuted (775μs)
eloquent.retrieved: App\Models\Twill\TwillFaq (120μs)
Illuminate\Database\Events\StatementPrepared (579μs)
Illuminate\Database\Events\QueryExecuted (739μs)
eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (50μs)
creating: components.faq-item (61μs)
composing: components.faq-item (38μs)
Illuminate\Database\Events\StatementPrepared (876μs)
Illuminate\Database\Events\QueryExecuted (873μs)
eloquent.retrieved: App\Models\Twill\TwillFaq (78μs)
Illuminate\Database\Events\StatementPrepared (677μs)
Illuminate\Database\Events\QueryExecuted (860μs)
eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (63μs)
creating: components.faq-item (62μs)
composing: components.faq-item (35μs)
creating: site.blocks.text-with-image (250μs)
composing: site.blocks.text-with-image (15μs)
creating: site.blocks.work-with-tutors (123μs)
composing: site.blocks.work-with-tutors (12μs)
creating: site.layouts.app (243μs)
composing: site.layouts.app (14μs)
creating: components.canonical (471μs)
composing: components.canonical (93μs)
creating: components.open-graph (264μs)
composing: components.open-graph (123μs)
creating: site.headers.header (713μs)
composing: site.headers.header (82μs)
Illuminate\Cache\Events\CacheHit (2.77ms)
creating: components.footer (75μs)
composing: components.footer (61μs)
Illuminate\Cache\Events\CacheHit (1.32ms)
Illuminate\Cache\Events\CacheHit (338μs)
Illuminate\Cache\Events\CacheHit (577μs)
Illuminate\Cache\Events\CacheHit (251μs)
Illuminate\Cache\Events\CacheHit (227μs)
Illuminate\Cache\Events\CacheHit (1.75ms)
Illuminate\Cache\Events\CacheHit (292μs)
Illuminate\Cache\Events\CacheHit (425μs)
Illuminate\Cache\Events\CacheHit (506μs)
Illuminate\Cache\Events\CacheHit (249μs)
Illuminate\Cache\Events\CacheHit (326μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (226μs)
Illuminate\Cache\Events\CacheHit (240μs)
creating: components.forms.contact-us (327μs)
composing: components.forms.contact-us (165μs)
creating: components.forms.get-started (159μs)
composing: components.forms.get-started (75μs)
creating: components.forms.free-tool-download (129μs)
composing: components.forms.free-tool-download (66μs)
creating: components.forms.claim-free-worksheet (296μs)
composing: components.forms.claim-free-worksheet (107μs)
creating: components.forms.tutor-subscription-waitlist (134μs)
composing: components.forms.tutor-subscription-waitlist (94μs)
creating: components.forms.tutor-subscription-join (248μs)
composing: components.forms.tutor-subscription-join (73μs)
creating: components.forms.tutor-support (145μs)
composing: components.forms.tutor-support (74μs)

369 x Illuminate\Cache\Events\CacheHit (16.78%)	101ms
36 x Illuminate\Database\Events\QueryExecuted (11.4%)	68.96ms
36 x Illuminate\Database\Events\StatementPrepared (9.29%)	56.17ms
13 x Illuminate\Cache\Events\KeyWritten (2.8%)	16.95ms
13 x Illuminate\Cache\Events\CacheMissed (2.71%)	16.41ms
1 x Illuminate\Foundation\Events\LocaleUpdated (0.99%)	6.01ms
6 x creating: components.tutors-card (0.7%)	4.26ms
2 x Illuminate\Database\Events\ConnectionEstablished (0.43%)	2.59ms
76 x eloquent.retrieved: App\Models\Subject (0.25%)	1.53ms
24 x eloquent.retrieved: App\Models\SubjectCat (0.25%)	1.49ms
1 x Illuminate\Routing\Events\Routing (0.24%)	1.45ms
1 x eloquent.booting: App\Models\User\Tutor (0.15%)	891μs
1 x creating: site.headers.header (0.12%)	713μs
1 x creating: site.blocks.subject-homework (0.11%)	671μs
1 x creating: site.blocks.reviews (0.11%)	647μs
1 x Illuminate\Routing\Events\RouteMatched (0.09%)	526μs
1 x eloquent.booted: App\Models\User\Tutor (0.08%)	502μs
1 x creating: components.canonical (0.08%)	471μs
4 x eloquent.retrieved: App\Models\Twill\TwillFaq (0.08%)	470μs
1 x eloquent.booting: App\Models\Twill\TwillFaq (0.08%)	459μs
6 x composing: components.tutors-card (0.07%)	425μs
1 x eloquent.booting: App\Models\User\TutorAttributes\TutorDegree (0.07%)	424μs
1 x creating: site.blocks.how-it-works (0.06%)	374μs
1 x creating: components.forms.contact-us (0.05%)	327μs
1 x creating: components.breadcrumbs (0.05%)	316μs
4 x creating: components.faq-item (0.05%)	298μs
1 x creating: components.forms.claim-free-worksheet (0.05%)	296μs
4 x composing: components.faq-item (0.05%)	284μs
6 x eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (0.05%)	282μs
1 x creating: components.open-graph (0.04%)	264μs
1 x creating: components.tutors-cards (0.04%)	260μs
1 x eloquent.booting: App\Models\Subject (0.04%)	253μs
1 x creating: site.blocks.text-with-image (0.04%)	250μs
1 x creating: components.forms.tutor-subscription-join (0.04%)	248μs
1 x eloquent.booting: App\Models\Meta (0.04%)	246μs
1 x creating: site.layouts.app (0.04%)	243μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)	225μs
1 x eloquent.booting: App\Models\Twill\Slugs\TwillFaqSlug (0.04%)	213μs
1 x creating: site.blocks.subject-tutors (0.03%)	205μs
6 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%)	178μs
1 x composing: components.breadcrumbs (0.03%)	177μs
1 x creating: components.homework-blocks (0.03%)	177μs
1 x eloquent.booted: App\Models\Twill\TwillFaq (0.03%)	176μs
1 x composing: components.forms.contact-us (0.03%)	165μs
1 x composing: subjects.show (0.03%)	164μs
6 x eloquent.retrieved: App\Models\User\Tutor (0.03%)	161μs
1 x creating: components.forms.get-started (0.03%)	159μs
1 x creating: subjects.show (0.03%)	152μs
1 x creating: components.forms.tutor-support (0.02%)	145μs
1 x creating: components.forms.tutor-subscription-waitlist (0.02%)	134μs
1 x creating: components.forms.free-tool-download (0.02%)	129μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.02%)	126μs
1 x creating: site.blocks.work-with-tutors (0.02%)	123μs
1 x composing: components.open-graph (0.02%)	123μs
1 x creating: site.blocks.submit-homework (0.02%)	108μs
1 x composing: components.forms.claim-free-worksheet (0.02%)	107μs
1 x composing: components.tutors-cards (0.02%)	99μs
1 x composing: components.forms.tutor-subscription-waitlist (0.02%)	94μs
1 x composing: components.canonical (0.02%)	93μs
1 x composing: site.headers.header (0.01%)	82μs
1 x creating: site.blocks.faq (0.01%)	80μs
1 x eloquent.retrieved: App\Models\Meta (0.01%)	77μs
1 x composing: components.homework-blocks (0.01%)	76μs
1 x creating: components.footer (0.01%)	75μs
1 x composing: components.forms.get-started (0.01%)	75μs
1 x composing: components.forms.tutor-support (0.01%)	74μs
1 x composing: components.forms.tutor-subscription-join (0.01%)	73μs
1 x eloquent.booted: App\Models\Twill\Slugs\TwillFaqSlug (0.01%)	71μs
1 x eloquent.booted: App\Models\Subject (0.01%)	70μs
1 x composing: components.forms.free-tool-download (0.01%)	66μs
1 x eloquent.booted: App\Models\User\TutorAttributes\TutorDegree (0.01%)	64μs
1 x eloquent.booted: App\Models\Meta (0.01%)	62μs
1 x eloquent.booting: App\Models\SubjectCat (0.01%)	62μs
1 x composing: components.footer (0.01%)	61μs
1 x eloquent.booted: App\Models\SubjectCat (0.01%)	60μs
1 x composing: site.blocks.faq (0%)	28μs
1 x composing: site.blocks.subject-homework (0%)	24μs
1 x composing: site.blocks.how-it-works (0%)	22μs
1 x composing: site.blocks.subject-tutors (0%)	21μs
1 x composing: site.blocks.reviews (0%)	16μs
1 x composing: site.blocks.text-with-image (0%)	15μs
1 x composing: site.layouts.app (0%)	14μs
1 x composing: site.blocks.submit-homework (0%)	13μs
1 x composing: site.blocks.work-with-tutors (0%)	12μs

34 templates were rendered

1x subjects.showshow.blade.phpblade
1x components.breadcrumbsbreadcrumbs.blade.phpblade
1x site.blocks.how-it-workshow-it-works.blade.phpblade
1x site.blocks.subject-tutorssubject-tutors.blade.phpblade
1x components.tutors-cardstutors-cards.blade.phpblade
6x components.tutors-cardtutors-card.blade.phpblade
1x site.blocks.subject-homeworksubject-homework.blade.phpblade
1x components.homework-blockshomework-blocks.blade.phpblade
1x site.blocks.reviewsreviews.blade.phpblade
1x site.blocks.submit-homeworksubmit-homework.blade.phpblade
1x site.blocks.faqfaq.blade.phpblade
4x components.faq-itemfaq-item.blade.phpblade
1x site.blocks.text-with-imagetext-with-image.blade.phpblade
1x site.blocks.work-with-tutorswork-with-tutors.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 subjects/{categoryUri}/{subjectUri?}
middleware: web, utm.parameters
controller: App\Http\Controllers\SubjectController@show
namespace
where
as: subjects.show
file: app/Http/Controllers/SubjectController.php:43-96

36 statements were executed, 2 of which were duplicates, 34 unique. Show only duplicated92.78ms

Connection Establishedtwenty4_siteSubjectRepository.php#123

Backtrace

13. app/Repositories/SubjectRepository.php:123
14. app/Http/Controllers/SubjectController.php:54
15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260

select * from `subjects` where `urlFriendlyTitle` = 'High-School-Math' limit 1

13.36mstwenty4_siteSubjectRepository.php#123

Bindings	0: High-School-Math
Backtrace	15. app/Repositories/SubjectRepository.php:123 16. app/Http/Controllers/SubjectController.php:54 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

select * from `subject_cats` where `subject_cats`.`id` in (31)

880μstwenty4_siteSubjectRepository.php#123

Backtrace

20. app/Repositories/SubjectRepository.php:123
21. app/Http/Controllers/SubjectController.php:54
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

select * from `subject_cats` where `subject_cats`.`id` = 31 limit 1

1.04mstwenty4_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 28. app/Http/Controllers/SubjectController.php:86

select * from `meta` where `meta`.`id` = 3 limit 1

920μstwenty4_siteMetaService.php#118

Bindings	0: 3
Backtrace	19. app/Services/MetaService.php:118 20. app/Services/MetaService.php:108 21. app/Services/MetaService.php:81 22. app/Http/Controllers/SubjectController.php:89 23. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54

Connection Establishedtwenty4_siteTutorRepository.php#40

Backtrace

13. app/Repositories/TutorRepository.php:40
14. app/View/Components/TutorsCards.php:28
15. app/View/Components/TutorsCards.php:22
17. vendor/laravel/framework/src/Illuminate/Container/Container.php:929
18. vendor/laravel/framework/src/Illuminate/Container/Container.php:770

select count(*) as aggregate from `users` where (`subjectsQualified` like '%|240|%' or `DSF_subjectsQualified` like '%|240|%' or `allsubjects` = 1) and `disable_profile` = 0 and `picture` != '' and `solutionrequestQualified` = 1 and `is_suspended` = 0 and `is_deactivated` = 0 and `status` != '' and `status` = 'tutor'

16.75mstwenty4_siteTutorsCards.php#35

Bindings	0: %\|240\|% 1: %\|240\|% 2: 1 3: 0 4: 5: 1 6: 0 7: 0 8: 9: tutor
Backtrace	15. app/View/Components/TutorsCards.php:35 16. app/View/Components/TutorsCards.php:22 18. vendor/laravel/framework/src/Illuminate/Container/Container.php:929 19. vendor/laravel/framework/src/Illuminate/Container/Container.php:770 20. vendor/laravel/framework/src/Illuminate/Foundation/Application.php:933

select * from `users` where (`subjectsQualified` like '%|240|%' or `DSF_subjectsQualified` like '%|240|%' or `allsubjects` = 1) and `disable_profile` = 0 and `picture` != '' and `solutionrequestQualified` = 1 and `is_suspended` = 0 and `is_deactivated` = 0 and `status` != '' and `status` = 'tutor' order by `completed_requests` desc limit 6 offset 0

17.71mstwenty4_siteTutorsCards.php#35

Bindings	0: %\|240\|% 1: %\|240\|% 2: 1 3: 0 4: 5: 1 6: 0 7: 0 8: 9: tutor
Backtrace	15. app/View/Components/TutorsCards.php:35 16. app/View/Components/TutorsCards.php:22 18. vendor/laravel/framework/src/Illuminate/Container/Container.php:929 19. vendor/laravel/framework/src/Illuminate/Container/Container.php:770 20. vendor/laravel/framework/src/Illuminate/Foundation/Application.php:933

select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 6531 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1

1.14mstwenty4_siteTutor.php#361

Bindings	0: 6531
Backtrace	18. app/Models/User/Tutor.php:361 19. view::components.tutors-card:11 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69

select * from `subject_cats` where `subject_cats`.`id` = 34 limit 1

1.09mstwenty4_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` = 5 limit 1

1.04mstwenty4_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 `tutor_degrees` where `tutor_degrees`.`tutor_id` = 69722 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1

780μstwenty4_siteTutor.php#361

Bindings	0: 69722
Backtrace	18. app/Models/User/Tutor.php:361 19. view::components.tutors-card:11 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69

select `subjects`.*, `subject_cats`.`title` as `category_title`, `subject_cats`.`id` as `category_id` from `subjects` inner join `subject_cats` on `subject_cats`.`id` = `subjects`.`catID` where `subjects`.`id` in (473, 15, 240, 119, 34, 134, 2, 160, 133, 6, 127, 123, 10, 122, 257, 124, 7, 349, 9, 66, 125, 68, 41, 8, 347, 67, 299, 121, 223, 401, 325, 479, 14, 379, 501, 89, 446, 269)

5.72mstwenty4_siteTutor.php#214

Bindings	0: 473 1: 15 2: 240 3: 119 4: 34 5: 134 6: 2 7: 160 8: 133 9: 6 10: 127 11: 123 12: 10 13: 122 14: 257 15: 124 16: 7 17: 349 18: 9 19: 66 20: 125 21: 68 22: 41 23: 8 24: 347 25: 67 26: 299 27: 121 28: 223 29: 401 30: 325 31: 479 32: 14 33: 379 34: 501 35: 89 36: 446 37: 269
Backtrace	14. app/Models/User/Tutor.php:214 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 18. app/Models/User/Tutor.php:216 24. app/Models/User/Tutor.php:267

select * from `subject_cats` where `subject_cats`.`id` in (1, 3, 31, 34, 42)

1.66mstwenty4_siteTutor.php#214

Backtrace

19. app/Models/User/Tutor.php:214
20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
21. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
23. app/Models/User/Tutor.php:216
29. app/Models/User/Tutor.php:267

select * from `subject_cats` where `subject_cats`.`id` = 42 limit 1

1.1mstwenty4_siteSubject.php#100

Bindings	0: 42
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 `tutor_degrees` where `tutor_degrees`.`tutor_id` = 71870 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1

950μstwenty4_siteTutor.php#361

Bindings	0: 71870
Backtrace	18. app/Models/User/Tutor.php:361 19. view::components.tutors-card:11 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69

select `subjects`.*, `subject_cats`.`title` as `category_title`, `subject_cats`.`id` as `category_id` from `subjects` inner join `subject_cats` on `subject_cats`.`id` = `subjects`.`catID` where `subjects`.`id` in (267, 13, 407, 243, 406, 30, 26, 211, 212, 210, 240, 241, 2, 160, 133, 1, 6, 10, 7, 3, 60, 41, 401, 14, 379, 226)

3.85mstwenty4_siteTutor.php#214

Bindings	0: 267 1: 13 2: 407 3: 243 4: 406 5: 30 6: 26 7: 211 8: 212 9: 210 10: 240 11: 241 12: 2 13: 160 14: 133 15: 1 16: 6 17: 10 18: 7 19: 3 20: 60 21: 41 22: 401 23: 14 24: 379 25: 226
Backtrace	14. app/Models/User/Tutor.php:214 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 18. app/Models/User/Tutor.php:216 24. app/Models/User/Tutor.php:267

select * from `subject_cats` where `subject_cats`.`id` in (1, 2, 5, 10, 31, 34, 36)

1.72mstwenty4_siteTutor.php#214

Backtrace

19. app/Models/User/Tutor.php:214
20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
21. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
23. app/Models/User/Tutor.php:216
29. app/Models/User/Tutor.php:267

select * from `subject_cats` where `subject_cats`.`id` = 36 limit 1

1.55mstwenty4_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 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

select * from `subject_cats` where `subject_cats`.`id` = 2 limit 1

1.2mstwenty4_siteSubject.php#100

Bindings	0: 2
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 `tutor_degrees` where `tutor_degrees`.`tutor_id` = 88731 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1

1.26mstwenty4_siteTutor.php#361

Bindings	0: 88731
Backtrace	18. app/Models/User/Tutor.php:361 19. view::components.tutors-card:11 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69

select * from `subject_cats` where `subject_cats`.`id` = 41 limit 1

1.17mstwenty4_siteSubject.php#100

Bindings	0: 41
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 `tutor_degrees` where `tutor_degrees`.`tutor_id` = 117127 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1

950μstwenty4_siteTutor.php#361

Bindings	0: 117127
Backtrace	18. app/Models/User/Tutor.php:361 19. view::components.tutors-card:11 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69

select `subjects`.*, `subject_cats`.`title` as `category_title`, `subject_cats`.`id` as `category_id` from `subjects` inner join `subject_cats` on `subject_cats`.`id` = `subjects`.`catID` where `subjects`.`id` in (267, 13, 91, 90, 165, 208, 215, 240, 241, 159)

1.91mstwenty4_siteTutor.php#214

Bindings	0: 267 1: 13 2: 91 3: 90 4: 165 5: 208 6: 215 7: 240 8: 241 9: 159
Backtrace	14. app/Models/User/Tutor.php:214 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 18. app/Models/User/Tutor.php:216 24. app/Models/User/Tutor.php:267

select * from `subject_cats` where `subject_cats`.`id` in (5, 31, 36)

1.33mstwenty4_siteTutor.php#214

Backtrace

19. app/Models/User/Tutor.php:214
20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
21. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
23. app/Models/User/Tutor.php:216
29. app/Models/User/Tutor.php:267

select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 50543 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1

850μstwenty4_siteTutor.php#361

Bindings	0: 50543
Backtrace	18. app/Models/User/Tutor.php:361 19. view::components.tutors-card:11 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69

select count(*) as aggregate from `solutionslibrary` where exists (select * from `subjects` where `solutionslibrary`.`subject` = `subjects`.`id`) and `subject` = 240 and `status` = 'published' and `price` > 0

1.74mstwenty4_siteHomeworkBlocks.php#27

Bindings	0: 240 1: published 2: 0
Backtrace	15. app/View/Components/HomeworkBlocks.php:27 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102 17. view::site.blocks.subject-homework:4 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `solutionslibrary` where exists (select * from `subjects` where `solutionslibrary`.`subject` = `subjects`.`id`) and `subject` = 240 and `status` = 'published' and `price` > 0 order by `purchase_count` desc limit 6 offset 0

1.85mstwenty4_siteHomeworkBlocks.php#27

Bindings	0: 240 1: published 2: 0
Backtrace	15. app/View/Components/HomeworkBlocks.php:27 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102 17. view::site.blocks.subject-homework:4 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `subjects` where `subjects`.`id` in (240)

860μstwenty4_siteHomeworkBlocks.php#27

Backtrace

20. app/View/Components/HomeworkBlocks.php:27
21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
22. view::site.blocks.subject-homework:4
24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `subject_cats` where `subject_cats`.`id` in (31)

810μstwenty4_siteHomeworkBlocks.php#27

Backtrace

25. app/View/Components/HomeworkBlocks.php:27
26. vendor/laravel/framework/src/Illuminate/View/Component.php:102
27. view::site.blocks.subject-homework:4
29. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
30. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faqs` where exists (select * from `twill_faq_slugs` where `twill_faqs`.`id` = `twill_faq_slugs`.`twill_faq_id` and `slug` = 'can-you-help-me-with-my-homework-in-less-than-24-hours' and `active` = 1 and `locale` = 'en' and `twill_faq_slugs`.`deleted_at` is null) and `twill_faqs`.`deleted_at` is null limit 1

880μstwenty4_siteFaqItem.php#15

Bindings	0: can-you-help-me-with-my-homework-in-less-than-24-hours 1: 1 2: en
Backtrace	15. app/View/Components/FaqItem.php:15 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102 17. view::site.blocks.faq:7 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faq_slugs` where `twill_faq_slugs`.`twill_faq_id` in (1) and `twill_faq_slugs`.`deleted_at` is null

1.04mstwenty4_siteFaqItem.php#15

Backtrace

20. app/View/Components/FaqItem.php:15
21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
22. view::site.blocks.faq:7
24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faqs` where exists (select * from `twill_faq_slugs` where `twill_faqs`.`id` = `twill_faq_slugs`.`twill_faq_id` and `slug` = 'can-you-help-me-with-my-examquiztest' and `active` = 1 and `locale` = 'en' and `twill_faq_slugs`.`deleted_at` is null) and `twill_faqs`.`deleted_at` is null limit 1

930μstwenty4_siteFaqItem.php#15

Bindings	0: can-you-help-me-with-my-examquiztest 1: 1 2: en
Backtrace	15. app/View/Components/FaqItem.php:15 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102 17. view::site.blocks.faq:24 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faq_slugs` where `twill_faq_slugs`.`twill_faq_id` in (2) and `twill_faq_slugs`.`deleted_at` is null

1.13mstwenty4_siteFaqItem.php#15

Backtrace

20. app/View/Components/FaqItem.php:15
21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
22. view::site.blocks.faq:24
24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faqs` where exists (select * from `twill_faq_slugs` where `twill_faqs`.`id` = `twill_faq_slugs`.`twill_faq_id` and `slug` = 'how-much-will-it-cost' and `active` = 1 and `locale` = 'en' and `twill_faq_slugs`.`deleted_at` is null) and `twill_faqs`.`deleted_at` is null limit 1

1.05mstwenty4_siteFaqItem.php#15

Bindings	0: how-much-will-it-cost 1: 1 2: en
Backtrace	15. app/View/Components/FaqItem.php:15 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102 17. view::site.blocks.faq:41 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faq_slugs` where `twill_faq_slugs`.`twill_faq_id` in (3) and `twill_faq_slugs`.`deleted_at` is null

770μstwenty4_siteFaqItem.php#15

Backtrace

20. app/View/Components/FaqItem.php:15
21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
22. view::site.blocks.faq:41
24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faqs` where exists (select * from `twill_faq_slugs` where `twill_faqs`.`id` = `twill_faq_slugs`.`twill_faq_id` and `slug` = 'what-kind-of-payments-do-you-accept' and `active` = 1 and `locale` = 'en' and `twill_faq_slugs`.`deleted_at` is null) and `twill_faqs`.`deleted_at` is null limit 1

840μstwenty4_siteFaqItem.php#15

Bindings	0: what-kind-of-payments-do-you-accept 1: 1 2: en
Backtrace	15. app/View/Components/FaqItem.php:15 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102 17. view::site.blocks.faq:58 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faq_slugs` where `twill_faq_slugs`.`twill_faq_id` in (4) and `twill_faq_slugs`.`deleted_at` is null

950μstwenty4_siteFaqItem.php#15

Backtrace

20. app/View/Components/FaqItem.php:15
21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
22. view::site.blocks.faq:58
24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

App\Models\Subject: 76Subject.php
App\Models\SubjectCat: 24SubjectCat.php
App\Models\User\Tutor: 6Tutor.php
App\Models\HomeworkLibrary\HomeworkLibrary: 6HomeworkLibrary.php
App\Models\Twill\Slugs\TwillFaqSlug: 6TwillFaqSlug.php
App\Models\Twill\TwillFaq: 4TwillFaq.php
App\Models\Meta: 1Meta.php

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path_info

/subjects/High-School-Subjects/High-School-Math

status_code

status_text

format

html

content_type

text/html; charset=UTF-8

request_query

[]

request_request

[]

request_headers

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array:21 [▼
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