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Instrumental Analysis

Instrumental Analysis

As technology develops, machines that are able to detect previously unknown substances faster and more accurately are being constructed. Approximately 66% of all products delivered in the United States use chemical analysis of some sort. Instrumental chemistry is a field of chemistry that focuses on the modern machines and methodology used in chemical analysis. The two common methods of instrumentation are spectroscopy and mass spectrometry.

An instrument is a device providing communication between the system being analyzed and the person performing the analysis. Analytical lab instrumentation quantitatively and qualitatively interprets the physical and chemical characteristics of a sample. Qualitative methods reveal information about the sample on a molecular or atomic level. Quantitative method gives information in numerical form about the sample’s components. They typically need a source of energy in order to generate a response capable of being read.

The characteristic or property containing the information of interest is known as a data domain. Information is encoded in numerical form. Data domains are divided into non-electrical and electrical. Some examples of properties that may be measured are density, fluorescence, conductivity, and light absorption. A bit is the basic unit of information within the domain. Three types of analytical devices are detectors, transducers, and sensors. Detectors indicate or record any change in environment. A transducer changes information in nonelectrical domains to information in electrical domains and also does the reverse. Sensors are devices that allow for the observation of chemical species in a continuous and reversible manner.

A critical part of instrumental analysis is the calibrating of instrumental methods. Calibration establishes a relationship between an analytical response and the analyte concentration. It helps to endure that an instrument is operating correctly. Calibration may feature three kinds of limits: the limit of detection, the limit of quantitation, and the limit of linearity. The limit of detection is the lowest possible substance quantity that can be determined from the absence of that substance within a known confidence level. The limit of quantitation is the minimum amount of analyte by which someone can determine the difference between two different amounts of analyte. The analyte amount range by which a response changes is known as the dynamic range. A calibration curve is mapped on an x-y axis, with the solution concentration mapped horizontally and the variable being observed recorded vertically.

Microprocessors and microcomputers are computerized instruments. A microprocessor is a wide scale integrated circuit containing millions of transistors, resistors, and other elements. They are often used to implement operational control of analytical instruments. Microcomputers are made up of combined microprocessors providing functions such as timing, memory, and output. Computerized instruments in offline mode are mainly used to collect and transfer data to a computer for processing. An online computer can work directly and communicate with an analytical instrument. Most modern analytical instruments are embedded with capability to function with a computer. This inline operation allows information to be transferred to a computer at the same time that it is created by the instrument.

Instrumental analysis is often utilized in environmental, medical, and food industries. It is a way of providing assurance of a substance’s quality, safety, and consistency that affect people’s everyday lives. Rapid technological developments in the field continue to push this science into new and exciting fields.

To fulfill our tutoring mission of online education, our college homework help and online tutoring centers are standing by 24/7, ready to assist college students who need homework help with all aspects of instrumental analysis. Our chemistry tutors can help with all your projects, large or small, and we challenge you to find better online instrumental analysis tutoring anywhere.

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Illuminate\Database\Events\StatementPrepared (1.37ms)
Illuminate\Database\Events\QueryExecuted (1.93ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (160μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (19μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (100μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (11μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (7μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (6μs)
Illuminate\Database\Events\StatementPrepared (902μs)
Illuminate\Database\Events\QueryExecuted (782μs)
eloquent.retrieved: App\Models\Subject (68μs)
Illuminate\Database\Events\StatementPrepared (802μs)
Illuminate\Database\Events\QueryExecuted (739μs)
eloquent.retrieved: App\Models\SubjectCat (63μs)
creating: components.homework-blocks (189μs)
composing: components.homework-blocks (79μs)
creating: site.blocks.reviews (749μs)
composing: site.blocks.reviews (17μs)
creating: site.blocks.submit-homework (272μs)
composing: site.blocks.submit-homework (16μs)
creating: site.blocks.faq (103μs)
composing: site.blocks.faq (12μs)
eloquent.booting: App\Models\Twill\TwillFaq (353μs)
eloquent.booted: App\Models\Twill\TwillFaq (133μs)
eloquent.booting: App\Models\Twill\Slugs\TwillFaqSlug (172μs)
eloquent.booted: App\Models\Twill\Slugs\TwillFaqSlug (48μs)
Illuminate\Database\Events\StatementPrepared (958μs)
Illuminate\Database\Events\QueryExecuted (750μs)
eloquent.retrieved: App\Models\Twill\TwillFaq (92μs)
Illuminate\Database\Events\StatementPrepared (761μs)
Illuminate\Database\Events\QueryExecuted (1.05ms)
eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (70μs)
eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (15μs)
creating: components.faq-item (103μs)
composing: components.faq-item (90μs)
Illuminate\Database\Events\StatementPrepared (1.24ms)
Illuminate\Database\Events\QueryExecuted (1.43ms)
eloquent.retrieved: App\Models\Twill\TwillFaq (106μs)
Illuminate\Database\Events\StatementPrepared (895μs)
Illuminate\Database\Events\QueryExecuted (1.11ms)
eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (78μs)
eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (16μs)
creating: components.faq-item (85μs)
composing: components.faq-item (56μs)
Illuminate\Database\Events\StatementPrepared (1.58ms)
Illuminate\Database\Events\QueryExecuted (928μs)
eloquent.retrieved: App\Models\Twill\TwillFaq (157μs)
Illuminate\Database\Events\StatementPrepared (891μs)
Illuminate\Database\Events\QueryExecuted (702μs)
eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (50μs)
creating: components.faq-item (92μs)
composing: components.faq-item (35μs)
Illuminate\Database\Events\StatementPrepared (1.06ms)
Illuminate\Database\Events\QueryExecuted (847μs)
eloquent.retrieved: App\Models\Twill\TwillFaq (68μs)
Illuminate\Database\Events\StatementPrepared (821μs)
Illuminate\Database\Events\QueryExecuted (708μs)
eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (50μs)
creating: components.faq-item (57μs)
composing: components.faq-item (93μs)
creating: site.blocks.text-with-image (504μs)
composing: site.blocks.text-with-image (54μs)
creating: site.blocks.work-with-tutors (159μs)
composing: site.blocks.work-with-tutors (13μs)
creating: site.layouts.app (407μs)
composing: site.layouts.app (15μs)
creating: components.canonical (364μs)
composing: components.canonical (68μs)
creating: components.open-graph (116μs)
composing: components.open-graph (47μs)
creating: site.headers.header (178μs)
composing: site.headers.header (45μs)
Illuminate\Cache\Events\CacheHit (1.35ms)
creating: components.footer (61μs)
composing: components.footer (108μs)
Illuminate\Cache\Events\CacheHit (1.05ms)
Illuminate\Cache\Events\CacheHit (499μs)
Illuminate\Cache\Events\CacheHit (421μs)
Illuminate\Cache\Events\CacheHit (149μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (252μs)
Illuminate\Cache\Events\CacheHit (220μs)
Illuminate\Cache\Events\CacheHit (126μs)
Illuminate\Cache\Events\CacheHit (119μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (114μs)
creating: components.forms.contact-us (153μs)
composing: components.forms.contact-us (98μs)
creating: components.forms.get-started (93μs)
composing: components.forms.get-started (44μs)
creating: components.forms.free-tool-download (72μs)
composing: components.forms.free-tool-download (40μs)
creating: components.forms.claim-free-worksheet (67μs)
composing: components.forms.claim-free-worksheet (39μs)
creating: components.forms.tutor-subscription-waitlist (64μs)
composing: components.forms.tutor-subscription-waitlist (37μs)
creating: components.forms.tutor-subscription-join (63μs)
composing: components.forms.tutor-subscription-join (37μs)
creating: components.forms.tutor-support (63μs)
composing: components.forms.tutor-support (37μs)

36 x Illuminate\Database\Events\QueryExecuted (10.66%)	61.81ms
36 x Illuminate\Database\Events\StatementPrepared (8.82%)	51.14ms
201 x Illuminate\Cache\Events\CacheHit (7.47%)	43.31ms
13 x Illuminate\Cache\Events\CacheMissed (4.6%)	26.65ms
13 x Illuminate\Cache\Events\KeyWritten (1.72%)	9.96ms
6 x creating: components.tutors-card (0.47%)	2.70ms
1 x Illuminate\Foundation\Events\LocaleUpdated (0.4%)	2.32ms
2 x Illuminate\Database\Events\ConnectionEstablished (0.24%)	1.38ms
56 x eloquent.retrieved: App\Models\Subject (0.16%)	951μs
15 x eloquent.retrieved: App\Models\SubjectCat (0.16%)	901μs
1 x Illuminate\Routing\Events\Routing (0.14%)	829μs
1 x creating: site.blocks.reviews (0.13%)	749μs
1 x creating: site.blocks.subject-homework (0.1%)	598μs
1 x creating: site.blocks.how-it-works (0.09%)	540μs
1 x creating: site.blocks.text-with-image (0.09%)	504μs
4 x eloquent.retrieved: App\Models\Twill\TwillFaq (0.07%)	423μs
1 x creating: site.layouts.app (0.07%)	407μs
1 x creating: components.canonical (0.06%)	364μs
1 x eloquent.booting: App\Models\Twill\TwillFaq (0.06%)	353μs
1 x Illuminate\Routing\Events\RouteMatched (0.06%)	340μs
4 x creating: components.faq-item (0.06%)	337μs
6 x composing: components.tutors-card (0.06%)	323μs
1 x eloquent.booting: App\Models\User\TutorAttributes\TutorDegree (0.05%)	309μs
6 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.05%)	303μs
6 x eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (0.05%)	279μs
4 x composing: components.faq-item (0.05%)	274μs
1 x creating: site.blocks.submit-homework (0.05%)	272μs
1 x creating: components.breadcrumbs (0.04%)	261μs
1 x eloquent.booting: App\Models\Meta (0.04%)	260μs
1 x creating: components.tutors-cards (0.04%)	253μs
1 x eloquent.booting: App\Models\User\Tutor (0.04%)	249μs
1 x eloquent.booting: App\Models\Subject (0.04%)	205μs
1 x creating: components.homework-blocks (0.03%)	189μs
1 x creating: site.headers.header (0.03%)	178μs
6 x eloquent.retrieved: App\Models\User\Tutor (0.03%)	175μs
1 x eloquent.booting: App\Models\Twill\Slugs\TwillFaqSlug (0.03%)	172μs
1 x eloquent.booted: App\Models\User\Tutor (0.03%)	172μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%)	169μs
1 x creating: site.blocks.work-with-tutors (0.03%)	159μs
1 x creating: components.forms.contact-us (0.03%)	153μs
1 x creating: site.blocks.subject-tutors (0.02%)	134μs
1 x eloquent.booted: App\Models\Twill\TwillFaq (0.02%)	133μs
1 x composing: components.breadcrumbs (0.02%)	126μs
1 x creating: subjects.show (0.02%)	124μs
1 x creating: components.open-graph (0.02%)	116μs
1 x composing: components.footer (0.02%)	108μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.02%)	104μs
1 x creating: site.blocks.faq (0.02%)	103μs
1 x composing: subjects.show (0.02%)	102μs
1 x composing: components.forms.contact-us (0.02%)	98μs
1 x creating: components.forms.get-started (0.02%)	93μs
1 x eloquent.booting: App\Models\SubjectCat (0.01%)	84μs
1 x composing: components.tutors-cards (0.01%)	84μs
1 x composing: components.homework-blocks (0.01%)	79μs
1 x eloquent.booted: App\Models\Meta (0.01%)	79μs
1 x eloquent.retrieved: App\Models\Meta (0.01%)	79μs
1 x creating: components.forms.free-tool-download (0.01%)	72μs
1 x composing: components.canonical (0.01%)	68μs
1 x creating: components.forms.claim-free-worksheet (0.01%)	67μs
1 x eloquent.booted: App\Models\Subject (0.01%)	65μs
1 x creating: components.forms.tutor-subscription-waitlist (0.01%)	64μs
1 x creating: components.forms.tutor-support (0.01%)	63μs
1 x creating: components.forms.tutor-subscription-join (0.01%)	63μs
1 x creating: components.footer (0.01%)	61μs
1 x eloquent.booted: App\Models\SubjectCat (0.01%)	60μs
1 x composing: site.blocks.text-with-image (0.01%)	54μs
1 x eloquent.booted: App\Models\Twill\Slugs\TwillFaqSlug (0.01%)	48μs
1 x composing: components.open-graph (0.01%)	47μs
1 x composing: site.headers.header (0.01%)	45μs
1 x composing: components.forms.get-started (0.01%)	44μs
1 x eloquent.booted: App\Models\User\TutorAttributes\TutorDegree (0.01%)	43μs
1 x composing: components.forms.free-tool-download (0.01%)	40μs
1 x composing: components.forms.claim-free-worksheet (0.01%)	39μs
1 x composing: components.forms.tutor-subscription-waitlist (0.01%)	37μs
1 x composing: components.forms.tutor-subscription-join (0.01%)	37μs
1 x composing: components.forms.tutor-support (0.01%)	37μs
1 x composing: site.blocks.how-it-works (0%)	21μs
1 x composing: site.blocks.subject-homework (0%)	18μs
1 x composing: site.blocks.subject-tutors (0%)	18μs
1 x composing: site.blocks.reviews (0%)	17μs
1 x composing: site.blocks.submit-homework (0%)	16μs
1 x composing: site.layouts.app (0%)	15μs
1 x composing: site.blocks.work-with-tutors (0%)	13μs
1 x composing: site.blocks.faq (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, 4 of which were duplicates, 32 unique. Show only duplicated86.82ms

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` = 'Instrumental-Analysis' limit 1

7.51mstwenty4_siteSubjectRepository.php#123

Bindings	0: Instrumental-Analysis
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 (36)

1.24mstwenty4_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 `meta` where `meta`.`id` = 3 limit 1

2.22mstwenty4_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 '%|359|%' or `DSF_subjectsQualified` like '%|359|%' 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'

13.46mstwenty4_siteTutorsCards.php#35

Bindings	0: %\|359\|% 1: %\|359\|% 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 '%|359|%' or `DSF_subjectsQualified` like '%|359|%' 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

11.14mstwenty4_siteTutorsCards.php#35

Bindings	0: %\|359\|% 1: %\|359\|% 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` = 26463 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1

1.14mstwenty4_siteTutor.php#355

Bindings	0: 26463
Backtrace	18. app/Models/User/Tutor.php:355 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` = 35 limit 1

1.29mstwenty4_siteSubject.php#100

Bindings	0: 35
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` = 32 limit 1

1.22mstwenty4_siteSubject.php#100

Bindings	0: 32
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` = 72437 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1

3.82mstwenty4_siteTutor.php#355

Bindings	0: 72437
Backtrace	18. app/Models/User/Tutor.php:355 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 (98, 400, 159, 87, 358, 13, 91, 359, 90, 331, 165, 138, 105, 112, 469)

3.61mstwenty4_siteTutor.php#208

Bindings	0: 98 1: 400 2: 159 3: 87 4: 358 5: 13 6: 91 7: 359 8: 90 9: 331 10: 165 11: 138 12: 105 13: 112 14: 469
Backtrace	14. app/Models/User/Tutor.php:208 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:210 24. app/Models/User/Tutor.php:261

select * from `subject_cats` where `subject_cats`.`id` in (2, 35, 36)

1.38mstwenty4_siteTutor.php#208

Backtrace

19. app/Models/User/Tutor.php:208
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:210
29. app/Models/User/Tutor.php:261

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

1.31mstwenty4_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` = 60363 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1

1.09mstwenty4_siteTutor.php#355

Bindings	0: 60363
Backtrace	18. app/Models/User/Tutor.php:355 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 (87, 13, 359, 90, 331, 138, 105)

2.2mstwenty4_siteTutor.php#208

Bindings	0: 87 1: 13 2: 359 3: 90 4: 331 5: 138 6: 105
Backtrace	14. app/Models/User/Tutor.php:208 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:210 24. app/Models/User/Tutor.php:261

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

1.14mstwenty4_siteTutor.php#208

Backtrace

19. app/Models/User/Tutor.php:208
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:210
29. app/Models/User/Tutor.php:261

select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 122050 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1

1.16mstwenty4_siteTutor.php#355

Bindings	0: 122050
Backtrace	18. app/Models/User/Tutor.php:355 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 (159, 87, 358, 13, 359, 90, 138, 168, 105, 241)

2.54mstwenty4_siteTutor.php#208

Bindings	0: 159 1: 87 2: 358 3: 13 4: 359 5: 90 6: 138 7: 168 8: 105 9: 241
Backtrace	14. app/Models/User/Tutor.php:208 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:210 24. app/Models/User/Tutor.php:261

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1.23mstwenty4_siteTutor.php#208

Backtrace

19. app/Models/User/Tutor.php:208
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:210
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1.3mstwenty4_siteTutor.php#355

Bindings	0: 69755
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3.13mstwenty4_siteTutor.php#208

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Backtrace	14. app/Models/User/Tutor.php:208 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:210 24. app/Models/User/Tutor.php:261

select * from `subject_cats` where `subject_cats`.`id` in (1, 34, 36)

1.58mstwenty4_siteTutor.php#208

Backtrace

19. app/Models/User/Tutor.php:208
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:210
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select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 69225 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1

1.84mstwenty4_siteTutor.php#355

Bindings	0: 69225
Backtrace	18. app/Models/User/Tutor.php:355 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 (400, 159, 87, 267, 358, 13, 91, 359, 90, 165, 138, 105)

2.93mstwenty4_siteTutor.php#208

Bindings	0: 400 1: 159 2: 87 3: 267 4: 358 5: 13 6: 91 7: 359 8: 90 9: 165 10: 138 11: 105
Backtrace	14. app/Models/User/Tutor.php:208 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:210 24. app/Models/User/Tutor.php:261

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

1.29mstwenty4_siteTutor.php#208

Backtrace

19. app/Models/User/Tutor.php:208
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:210
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1.23mstwenty4_siteHomeworkBlocks.php#27

Bindings	0: 359 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` = 359 and `status` = 'published' and `price` > 0 order by `purchase_count` desc limit 6 offset 0

2.62mstwenty4_siteHomeworkBlocks.php#27

Bindings	0: 359 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 (359)

1.23mstwenty4_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
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select * from `subject_cats` where `subject_cats`.`id` in (36)

1.2mstwenty4_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
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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

1.38mstwenty4_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
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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

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

1.37mstwenty4_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
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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

1.38mstwenty4_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

1.02mstwenty4_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

1.1mstwenty4_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

1.09mstwenty4_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
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