Questions

If a human diploid cell and a human haploid cell somehow managed to fuse together and not lose any of the chromosomes how many chromosomes would be inside the newly formed cell O A 92 B 46 C 23 C

Evaluate the indefinite integral 10 cos 10

Chapter 9 Excel Assignment John Franks works for 8 75 per hour and worked a 40 hour week for a regular wage total of 350 He also gets commission on sales but does not have a quota or 0 His gross sales were 2 650 and had 0 returns His commission rate is 4 Calculate his total wage

2 points 1 3 Name the two rod like structures labeled 3 Kinetochore Centromere Sister chromatids Histone Nucleosome

5 2 3 cotx secx cosecx Show that cosx sinx tanx 5 3 2 3

What is the axis of symmetry for the quadratic function 2 1 x 2x 12x 1

Differentiate the function s t s t 6t 3 2 4 5

Graph the line with the equation y 52 2 10

Glycolysis results in the production of CO2 the conversion of glucose to pyruvic acid a net loss of two ATPs per glucose molecule conversion of NADH to NAD

the different strategies verify the following identity 1 sin x CSC X 1 CSC X

Find D 10 40 E G

function The population sizes of many animal species rise and fall over time Suppose that the population size of a certain species can be modeled by the following p t 3390 1190 cos 1 41 In this equation p t represents the total population size and t is the time in years Find the following If necessary round to the nearest hundredth Amplitude of p Period of p years Frequency of pcycles per year X 5

Write the equation of a sine or cosine function to describe the graph KIM 16 2 3 16

Find Vec in the circuit in Fig P2 20 Given the voltage reading on the resistors of V1 4 V V2 9 V and V3 7 V a b ww V2 V1 12 V 3 V V3 ww g 2V f V4 e Figure P2 20 Notes on entering solution Enter your solution in Volts V Enter your solution to 2 decimal places Do not include units in your answer ex 5 V is entered as 5 00 Reminder Vec means that e is the high side and c is the low side

A buoy floating in the sea is bobbing in simple harmonic motion with amplitude 12 in and period 0 1 seconds Its displacement d from sea level at time 0 seconds is 12 in and initially it moves upward Note that upward is the positive direction Give the equation modeling the displacement d as a function of time d 0

An automobile uses two halogen headlights connected as shown in Fig P2 6 Determine the power supplied by the battery if each headlight draws 3A of current Use V 34 V for voltage V Figure P2 6 Notes on entering solution Enter your solution in Watts W Enter your solution to 2 decimal places Do not include units in your answer ex 5 W is entered as 5 00 Give the answer for the power supplied and not the current

A model for a standard two D cell flashlight is shown in Fig P2 5 Find the power dissipated in the lamp Given V1 20 V V2 17 V and R 5Q R lamp V1 V2 Figure P2 5 Notes on entering solution Enter your solution in Watts W Enter your solution to 2 decimal points Do not include units in your answer ex 5 W is entered as 5 00 Give the answer for the power supplied and not the current

Determine the power dissipated in the resistor in Fig P2 1 Given V 3 V and R 70 V 1 ww R Figure P2 1 Notes on entering solution Enter your solution in Watts Enter your solution to 2 decimal points Do not include units in your answer ex 5W is entered as 5 00

A new highly contagious strain of the flu is going around a high school after coming back from winter break The number of students that have contracted the flu doubles each week The number infected follows the model shown below very closely for the first several weeks of school time t is measure in weeks after coming back to school s t 3 2t Which correctly describes one of the parameters of this function There were initially 2 students that were sick There were initially 3 students that were sick There were initially 6 students that were sick There were initially 9 students that were sick

Initially a kiln oven is turned on and heat increases by 50 every minute for the first 6 minutes Below shows the temperature of the kiln t minutes after it was turned on Time min 0 Temp F 80 1 120 2 180 3 270 4 405 Which type of model would be the best model to describe the relationship between the time and temperature for at least the first 6 minutes Linear Model Quadratic Model

A company offers a bonus retirement plans for its executive employees The employees are presented with 2 options Option 1 They will start an account 5000 and each year earn 25 on the money in the account i e a growth factor of 1 25 Years Worked 0 1 2 Retirement Account 5000 00 6250 00 7812 50 Option 2 They will start an account 5000 and each year and each year there after continue to add 5000 to the account Years Worked 0 1 2 Retirement Account 5000 00 10 000 15 000 Which retirement option would be worth more at the end of 20 years Option 1 Option 2 O They are both equal at 20 years

A football is punted and the height of the football in feet could be described using the following function model where t is in seconds after the ball was punted h t 16 t 2 55 Which correctly describes one of the parameters of this function The ball was in the air for a total of 2 seconds The ball had a maximum height of 55 feet O The ball was in the air a total of 16 seconds The ball landed 55 feet away from the kicker

Required information The following information applies to the questions displayed below Matt and Meg Comer are married and file a joint tax return They do not have any children Matt works as a history professor at a local university and earns a salary of 69 400 Meg works part time at the same university She earns 43 600 a year The couple does not itemize deductions Other than salary the Comers only other source of income is from the disposition of various capital assets mostly stocks Use the tax rate schedules Dividends and Capital Gains Tax Rates Note Round your final answers to the nearest whole dollar amount es a What is the Comers tax liability for 2023 if they report the following capital gains and losses for the year Short term capital gains Short term capital losses Long term capital gains Long term capital losses Total tax liability 9 300 2 300 15 200 6 600

Find the point on the line y 10x 2 closest to the point 1 1 The function giving the distance between the point and the line is s x 1 10x 3 2 Enter a function of 2 Part 2 The point on the line y 10x 2 closest to 1 1 is Enter the coordinates of the point Be sure to include commas and parentheses as required

t the start of a race Alexandra is 123 meters north of a goal while John Michael is ocated at the goal Alexandra begins running towards the goal at 5 m s while John Michael begins running east at 4 m s Suppoest seconds have elapsed How far is Alexandra from the goal 123 51 How far is John Michael from the goal 4t Part 2 of 3 Let S t be a function representing the distance between Alexandra and John Michael S t V15129 4112 1230t Alexandra and John Michael are closest together after t seconds at which point they are meters apart Part 3 of 3

Required information The following information applies to the questions displayed below For 2023 Sherri has a short term loss of 2 870 and a long term loss of 7 200 b How much loss will Sherri carry over to 2024 and what is the character of the loss carryover Long term capital loss

A cook has a recipe for a pasta sauce that calls for 3 4 cup of chopped onions One recip makes enough for six servings Compute the volume of chopped onions that would be required for fifteen servings Hint That means the cook must prepare 15 6 2 1 2 recipes

Select the correct answer Solve the following equation for x x 8x 7 0 O A x 1 x 7 OB x 1 x 7 O c x 1 x 7 O D x 1 x 7

The table shows values for functions f z and g z X 1 3 5 f x 14 2 5 7 9 11 6 6 11 What are the known solutions to f x g x Select each correct answer D 1 05 07 9 g x 14 4 3 7 9 3

Find the point on the line y 6x 5 closest to the point 4 9 The function giving the distance between the point and the line is 8 10 37 Enter a function of 2

The plasma membrane of muscle cells help maintain a concentration gradient of calcium ions Ca2 between muscle cell s cytoplasm and extracellular fluid When a muscle cell receives a signal to contract Ca2 moves down this concentration gradient passing from the extracellular space into the cytoplasm of the cell Which of the following is the most likely mechanism by which Ca2 move across the plasma membrane during muscle cell contraction

Noelle stands at the edge of a cliff and drops a rock The height of the rock in meters is given by the function f x 4 9x 17 where x is the number of seconds after Noelle releases her rock Cesar who is standing nearby on the ground throws a rock straight up in the air The height of Cesar s rock in meters is given by the function g x 4 92 13z where x is the number of seconds after he releases his rock There is a moment when the rocks are at the same height What is this height Enter your answer rounded to the nearest tenth of a meter in the box

In a certain city E Street W Street C Street and D Street are parallel streets that intersect K Street and M Street How long is K Street between C Street and D Street The length of K Street between C Street and D Street is 50 Park E S W St K St SPOON 600 ft M St C St 310 f D St ft

deulum 2 0 Precalculus Unit 4 Topic 1 mative Assessment CALCULATOR REQUIRED Name Date Period 5 Let 4 2 If is perpendicular to il and fill 11 determine a component form of 3 You may choose to use the grid to help you Draw Graph as part of your response 8 where B

Which function below has the smallest average rate of change from x 0 to x 2 f x x g x 5x h x 2x

Evaluate the integral 10 a

5 4 3 2 1 Consider the functions below and also graphed at the right f x x g x 2x 3 h x x 4 Asxco which function will eventually have the greatest value f x g x h x 3 3 2 3 NO f x x g x 2x 3 h x x 4 3 4

Evaluate the indefinite integral 4 4 cos x In secx C 4 sin x 14 tan

Consider the functions a x x 1 x b x 2 x 3 x Which statement is always true a x b x for all values of x a x b x for all values of x a x b x when x 0 a x b x when x 0

1 5 5 t atan 5 t 1 2 log 25 t 2 1 The answer above is NOT correct Use integration by parts to evaluate the integral Jarctan arctan 5t d

First make a substitution and then use integration by parts to evaluate the integral x cos x5 dx

Evaluate the indefinite integral

If g 1 3 g 5 9 and L 9 2 g x dx 9 evaluate the integral xg x d Apowe

Suppose a particle moves along a straight line with velocity v t t2e 3 meters per second after t seconds It travels meters during the first t seconds

Use integration by parts to evaluate the integral

Use integration by parts to evaluate the integral

Approximate 1 x3dx by using Simpson s Rule with N 6

If f is continuous and F f x dx 8 evaluate f 2x dx

A book publisher has fixed costs of 360 000 and variable costs per book of 9 00 The book sells 23 00 per copy How many books must be sold to break even If the fixed cost increased would the new break even point he higher or lower If the variable cost per unit decreased would the new break even point he higher or lower

Construct the vector 0 7 c 1 2 d having initial point P Use the tools provided to move and scale the given vectors then don t forget to draw your final answer 1 0 d X P G