Questions

Find the particular solution determined by the initial condition ds 101 5t 8 s 0 76 dt The particular solution that satisfies the given condition is s Question

In C3 plants carbon fixation occurs in the A cells and the enzyme Rubisco is found in the A cells

Graph the unit circle using parametric equations with your calculator set to radian mode Use a scale of 1 12 Trace the circle to find all values of t between 0 and 2r satisfying the following statement Round your answers to the nearest ten thousandth Enter your answers as a comma separated list t Cost

Evaluate 9 8 S when S 4

Action Potential AP arises in presynaptic neuron CH gates open Causing IF Current spreads through Travels to Causes Nonmyelinated axons Leads to Located in IF gpening When next Myelinated axons End of presynaptic neuron Excitatory Postsynaptic Potential begins at Depolarization to 30mV Current spreads by

PRACTICE IT LO 2 6 How do you assess for melanoma O Outline Roughness Pigment Circumference Altitude Symmetry Texture Shade Length Width

Company A uses a new production method to manufacture aircraft altimeters A simple random sample of new altimeters resulted in errors listed below What is the test statistic X rounded to two decimal places 77 20 75 44 15 16 55 7 53 108 100

Find the present value Po of the amount P 100 000 due t 4 years in the future and invested at interest rate k 8 compounded continuously The present value of 100 000 is Round to the nearest cent as needed

Find the future value P of the amount Po 200 000 invested for time period t 2 years at interest rate k 5 compounded continuously If 200 000 is invested what is the amount accumulated after 2 years Points 0 of 1 Round to the nearest cent as needed

PRACTICE IT LO 2 3 Endocrine glands secrete hormones directly into the bloodstream while O Neurotransmitters are secreted directly into the bloodstream Exocrine glands secrete their products into ducts that lead to the surface of an organ or tissue O Exocrine glands secrete their products directly into the bloodstream Endocrine glands secrete their products into ducts that lead to the surface of an organ or tissue Hormones are not secreted by glands at all but by individual cells throughout the body Submit answer

a b Merly bring gravz 8MP Merle Merly Secretion Secretory vesicle Golgi complex Nucleus Pinched off portion of cell is the secreti

A pilot flies in a straight path for 3 hours He then makes a course correction heading 25 to the right of his original course and flies 2 hours in the new direction If he maintains a constant speed of 145 miles per hour how far is he from his starting position Round your final answer to the nearest mile Your Answer

How do Hox genes provide evidence of common ancestry O A The order of Hox genes match the physical placement of body parts in all animals B Hox genes control where structures grow in all plants and animals O c The nucleotide sequences of Hox genes found in fossils are an exact match to modern species D The Hox genes of distantly related animals have identical nucleotide sequences

A study was conducted to determine whether magnets were effective in treating pain The values represent measurements of pain using the visual analog scale Assume that both samples are independent simple random samples from populations having normal distributions Use a 0 05 significance level to test the claim that those given a shamn treatment have pain reductions that vary more than the pain reductions for those treated with magnets What is the conclusion for this hypothesis test Sham Magnet n 20 20 X 0 43 0 49 S 1 57 0 91 OA Reject HO There is sufficient evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets OB Reject HO There is insufficient evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets OC Fall to reject HO There is sufficient evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets OD Fall to reject HO There is insufficient evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets

PRACTICE IT LO 2 3 What is the purpose of glands in the body Glands are specialized structures made up of epithelial tissue that secrete substances for various functions Glands are specialized structures made up of nervous tissue that secrete substances for various functions Glands are structures made up of connective tissue that transport substances for various functions Glands are structures made up of muscle tissue that contract to secrete substances for various functions Glands are specialized structures made up of adipose tissue that store substances for various functions Submit answer

PRACTICE IT LO 2 1 2 2 Where is Connective Tissue located in the human body Connective tissue is only found in the brain O Connective tissue is not found in blood or lymph tissues Connective tissue supports other tissues and binds them together bone blood and lymph tissues Connective tissue is primarily responsible for the contraction of muscles Connective tissue is only found in bone tissue Connective tissue is responsible for transmitting nerve impulses Submit answer

15s 34s 28 5 s 56 3

4 Find the eigenvalues and corresponding eigenevectors of the matrix A 11 Note The eigenvalues are imaginary numbers

1 Factor 6x 11x 10 2 Simplify 2 3 A pipe can fill A hose can fill the same pool in 6 hours How long will it take to fill the pool if both are filling 4 Solve and check 4 X 4 a pod in 1 X 2 x 4 4 hours X 2 5 line PQ is perpendicular to line AB find x P 1 2 Q 3 4 A 6 5 B X 6

Solve the equation 25e2k 50 If 25e2k 50 then k Type an exact answer

Differentiate f x In f x X x 10 X

The demand for a new computer game can be modeled by p x 55 5 8 Inx for 0 x 800 where p x is the price consumers will pay in 90 Recall that total revenue is given by R x x p x Complete parts a through c below a Find R x R x GIB

all that total revenue is given by R x x p x Complete parts a through c below Find R x CIL

Differentiate y In 9x 5x 8 Y 0

Find y 3x 4 y 2x 1 y 0

Solve the equation 252 50 If 25 50 then k Type an exact answer

Differentiate the following function f x x e8x f x

Find the derivative with respect to x if f x 11x 22x 22 ex The derivative with respect to x if f x 11x 22x 22 ex is f x

Differentiate f x x5 9e4x f x

2 1 ok int rences Required information The following information applies to the questions displayed below Calvin reviewed his canceled checks and receipts this year 2023 for charitable contributions which included an antique painting and IBM stock He has owned the IBM stock and the painting since 2005 Donee Hobbs Medical Center State Museum A needy family United Way a Calvin s AGI is 150 000 Item IBM stock Antique painting Food and clothes Cash Charitable contribution deduction Carryover Cost 6 000 5 500 500 18 000 Calculate Calvin s charitable contribution deduction and carryover if any under the following circumstances Note Leave no answer blank Enter zero if applicable FMV 32 000 3 300 300 18 000

Solve e 18 for x The solution is x P Type an integer or decimal rounded to four decimal places as needed

Use a calculator to find the natural logarithm base e In 0 0571 In 0 0571

Given In 3 1 0986 and In 16 2 7726 find the value of the following logarithm without using a calculator 3 16 In 3 In 16 11

An accessories company finds that the cost in dollars of producing x belts is given by C x 740 35x 0 062x Find the rate at which average cost is changing when 178 belts have been produced First find the rate at which the average cost is changing when x belts have been produced FM 1

Find y y V 2x 1 3x 2

Find the dividend the divisor the quotient and the remainder 5 1 7 5 3 6 14 10 20 31 30

Required information The following information applies to the questions displayed below In each of the following independent cases indicate the amount 1 deductible for AGI 2 deductible from AGI and 3 deductible neither for nor from AGI before considering income limitations or the standard deduction Note Leave no answer blank Enter zero if applicable a Ted paid 84 rent on a safety deposit box at the bank In this box he kept the few shares of stock that he owned Deductible for AGI Deductible from AGI Not deductible

Find f x f x x 4 4 2 f x

Katie a single taxpayer is a shareholder in Engineers One a civil engineering company This year Katie s share of net business income from Engineers One is 200 000 net of the associated for AGI self employment tax deduction Assume that Katie s allocation of wages paid by Engineers One to its employees is 300 000 and her allocation of Engineers One s qualified property is 150 000 unadjusted basis of equipment all purchased within past three years Assume Katie has no other business income and no capital gains or qualified dividends Her taxable income before the deduction for qualified business income is 400 000 Required a Calculate Katie s deduction for qualified business income b Assume the same facts provided above except Katie s net business income from Engineers One is 400 000 net of the associated for AGI self employment tax deduction and her taxable income before the deduction for qualified business income is 350 000 Part a Part b

k Janyce a single taxpayer has AGI of 125 000 and paid the following taxes this year Calculate how much Janyce can deduct for taxes as an itemized deduction this year State income tax withholding State income tax estimated payments State income tax refund applied to this year s tax State automobile tax based on car s value Itemized deduction 7 200 600 800 1 900

Required information The following information applies to the questions displayed below Lionel is an unmarried law student at State University Law School a qualified educational institution This year Lionel borrowed 32 500 from County Bank and paid interest of 1 950 Lionel used the loan proceeds to pay his law school tuition Calculate the amounts Lionel can deduct for interest on higher education loans under the following circumstances Note Leave no answer blank Enter zero if applicable b Lionel s AGI before deducting interest on higher education loans is 84 000 Interest deduction

ok Tim is a single cash method taxpayer with an AGI of 50 000 In April of this year Tim paid 740 with his state income tax return for the previous year During the year Tim had 4 200 of state income tax and 15 300 of federal income tax withheld from his salary In addition Tim made estimated payments of 1 020 and 1 540 for state and federal income taxes respectively Finally Tim expects to receive a refund of 380 for state income taxes when he files his state tax return for this year in April next year What is the amount of taxes that Tim can deduct as an itemized deduction Deductible taxes

DNA sequences from an ancestral species and four modern species that evolved from it are shown below Common ancestor Cat Goldfish Pigeon Rhinoceros Based on these sequences which organism is most closely related to the common ancestor A Goldfish B Cat C Rhinoceros CGGTACAATTCA CCGTACTTTTGA CGCTACTATTGA CGGTACATTTGA CCGTACATTTAA D Pigeon

Required information The following information applies to the questions displayed below This year Diane intends to file a married joint return Diane received 190 700 of salary and paid 9 250 of interest on loans used to pay qualified tuition costs for her dependent daughter Deb This year Diane has also paid moving expenses of 5 050 and 29 900 of alimony to her ex spouse Jack who she divorced in 2013 Note Round your intermediate calculations and final answer to the nearest whole dollar amount a What is Diane s adjusted gross income

Differentiate the function 5x2 7 6x 1 3 y y

PRACTICE IT Organic compounds are compounds that are highly flammable do not have any carbon atoms O are typically found in rocks and minerals contain carbon atoms with only a few exceptions are produced through nuclear reactions Submit answer

Question 3 Apply the principle of mathematical induction to prove that a 61 7 5 for n 1 b i i 1 i 2 n n 1 n 2 n 3 4 i 1 TL for n 1

15 10

1 4 26r 40x n 5n 1 5 4n 18n 20 7 5k 26k 5k 2 3p 17p 10 4 3x 8x 3 6 3n 20n 25n 8 6b 3b

Variance is a measure of dispersion meaning it is a measure of how far a set of numbers is spread out from their average value variance S2 x x n 1 n 1 standard deviation Sn 1 1 6 Calculate range variance and standard deviation for given dataset of weight measure ments 49 1 54 5 63 0 64 6 69 5 74 4 79 4 85 8 53 2 55 4 74 9 75 0 75 6 61 5 65 0 70 0 75 0 82 1 87 1 54 0 54 1 62 2 65 6 70 4 75 9 83 8 63 4 66 7 71 6 75 2 58 4 60 9 67 4 72 7 76 2 50 0 640 68 2 72 2