Questions

Are these functions inverses A 177 No 7 I need more information

g x 2 3 d 2 2 x 2 5 10 X

Write and simplify a polynomial with 4 31 and 0 multiplicity 2 as roots Write your answer in standard form

A polynomial of degree 12 may have at most relative extreme values maximums and minimums 12 A roots and at most

Math 110 Course Resources Curve Sketching Course Packet on intervals of increase and decrease Let f x 3 x 8x 36x 5 Find the intervals of increase decrease of f Enter your answer using interval notation If an answer does not exist enter DNE Intervals of increase Intervals of decrease F

Curve Sketching Course Packet on intervals of increase and decrease Let f x 3x 24x 35 Find the intervals of increase decrease of f Enter your answer using interval notation If an answer does not exist enter DNE Intervals of increase Intervals of decrease Submit Answer

Curve Sketching Course Packet on critical points a Consider the function f x 7x 8 7x 1 Enter the number of critical points numbers of f x Determine the x coordinates of the critical points Enter your answer as a comma separated list of values The order of the values does not matter Enter DNE if f x does not have any critical points b Consider the function g x 7x 8 7x 1 Enter the number of critical points numbers of g x Determine the x coordinates of the critical points Enter your answer as a comma separated list of values The order of the values does not matter Enter DNE if g x does not have any critical points

Math 110 Course Resources Curve Sketching Course Packet on critical points Consider the function f x 7x2 8 2 3 Enter the number of critical points numbers of f x Determine the x coordinates of the critical points Enter your answer as a comma separated list of values The order of the values does no Enter DNE if f x does not have any critical points

Curve Sketching Course Packet on critical points 9x 5 x 36 Enter the number of critical points numbers of f x Consider the function f x Determine the x coordinates of the critical points Enter your answer as a comma separated list of values The order of the values does not ma Enter DNE if f x does not have any critical points

3 Water is dripping through the bottom of a conical coffee filter 4 inches across and 6 inches deep Given that the filter loses half a cubic inch of coffee per minute how fast is the level of the liquid dropping when it is 3 inches deep

2 A 19 foot ladder is being pushed up a building at a constant rate of 2 feet per minute How fast is the base of the ladder moving toward the building when the base of the ladder is q feet from the building

1 A stone dropped into a sill pond sends out a circular ripple whose radius increases at a constant rate of 4 ft s How rapidly is the area enclosed by the ripple increasing when the radius is 2 feet

3 20 pts If the triangular block shown below is in static equilibrium calculate the magnitude o forces F and P point 0 0 0 0 F B 300 mm 150 N 400 mm 500 mm F C P 150 N D 600 mm

4 A function f t gives the rate of evaporation of water in liters per hour from a pond where t is measured in f t dt in the context described 10 hours since 12 noon Which of the following gives the meaning of A The total volume of water in liters that evaporated from the pond during the first 10 hours after 12 noon B The total volume of water in liters that evaporated from the pond between 4PM and 10PM C The net change in the rate of evaporation in liters per hour from the pond between 4PM and 10PM D The average rate of evaporation in liters per hour from the pond between 4PM and 10PM E The average rate of of change in the rate of evaporation in liters per hour per hour from the pond between 4PM and 10PM

8 1 point There is a study on exercise and health a group of women who have been exercising regularly for 5 years are grouped and given a wellness exam and compared to a group of women who have not exercised in the past five years What kind of data collection is this Observational Study Experiment O O O O Survey Simulation

1 point Mr Mitchell was interested in the effects of music on student performance At the bottom of his exam he asked students to circle their favorite type of music rock country or hip hop He then computed the averages for the students who liked each type of music and compared the results Is this an experiment or an observational study Experiment Observational Study

1 point Researchers tested a new cleansing product called Protective Daily Wash on 100 randomly selected participants The researcher put 50 participants in Group A and 50 participants in Group B Group A was given instructions to wash their face daily with the product in a commercial bottle which was only distilled water that was then scented to smell like the actual product Group B participants were given the actual Protective Daily Wash product in a commercial bottle and told to wash their face daily with the product This is an example of which type of study Simulation Experimental Study Census Observational Study

1 point The Advanced Algebra teacher wants to know if the students need a study guide for the test What is the best design for data collectic Observational Study Experiment Census Survey

2 2 2 4 2 4 Graph of f C 10 5 6 7 2 3 The graph of a function f is shown above What is the value of S A 6 B 8 f x dx D 14 E 18

Write an equation for the polynomial graphed below You can leave the function in factored form 5 M to th fr son Py by m A in 1 2 3 4 0 1 2

Consider an election in which the votes were cast according to the table on the right Complete parts a and b below NO X Yes Candidate Edelson Borowski Callow Number of Votes 45 29 26 b What percentage of Callow s votes would Borowski need to win a runoff election of Callow s votes Round to two decimal places as needed

Graph the following systems of linear inequalities 11 y 2x 3 y x 1 12 x y20 4x 3y 18

Solve each system of equations by graphing Clearly give your solution 1 3r y 5 2 4x 2y 8 y 1 y 2x 4 x

5 2x y 2 5x 3y 8 6 2x 5y 14 4x 2y 4

Central Tendency What the measurements of central tendency tell you separately and together about the center of your data o Mean o Median o Mode Calculate the Mean Find calculate the median Find the mode Calculate a weighted mean from a frequency table ono

5 Sy x 4x 12 1y 4x 4 6 y x 1 11 y 2x

11 2x 3y 6 12y 5 x 12 3 x 2y 7 2x 5y 10

7 2x 6y 12 5x 15y 30 8 5x 2y 3 3x 3y 9

Date y x 3 x x D Class

3x 2y 26 4x 5y 4 10 4x 3y 1 5x 4y 1

7 y x 24 1 x y 12 8 y x 7 3 12y 6x 24

3x 8y 5 2x 2y 18 4 x 3y 7 2x 6y 12

Mr Delaney broke his piggy bank with a sledge hammer and found that it only contained quarters and pennies If he had a total of 120 coins for a combined value of 16 32 how many pennies did he have in his piggy bank

Graph the following linear inequalities 9 2x 4y 8 X 10 y 3

Solve each system of equations by elimination Clearly give your solution 5 x 2 6 2x 8y 2 3x 3y 15 3 5x 3y 8

The function h x 3f x 1 is created from transformations of the function f x

The function h x f 3x 4 is created from transformations of the function f x

Write the equation of a sine or cosine function to describe the graph Ik 5 y FR 45 27 3 47 5 0 B 0 0 X

The function h x 3f x 1 is created from transformations of the function f x

The function h x f 3x 4 is created from transformations of the function f x

The function h x f 3x 4 is created from transformations of the function f x Recall point 3 4 on f x What new point must be on h x

Problem 1 Using the method of trigonometric substitution to evaluate each of the following integrals Express the final answer in terms of the variable 1 a 4x2 dx

In a clinical trial of 2103 subjects treated with a certain drug 21 reported headaches In a control group of 1693 subjects given a placebo 22 reported headaches Denoting the proportion of headaches in the treatment group by P and denoting the proportion of headaches in the control placebo group by pc the relative risk is p pe The relative risk is a measure of the strength of the effect of the drug treatment Another such measure is the odds ratio which is the ratio of the odds in favor of a headache for the treatment group to the odds in favor of a headache for P 1 Pt Pc 1 Pc the control placebo group found by evaluating The relative risk and odds ratios are commonly used in medicine and epidemiological studies Find the relative risk and odds ratio for the headache data What do the results suggest about the risk of a headache from the drug treatment Find the relative risk for the headache data The relative risk Round to three decimal places as needed

a What is the probability that Mike will guess correctly Ignore leap years 1 365 Type an integer or a simplified fraction b Would it be unlikely for him to guess correctly on his first try A No it is not unlikely for Mike to guess correctly on his first try as the probability of a correct guess is very high OB It is impossible for Mike to guess correctly on his first try as the probability of a correct guess is 0 OC No it is not unlikely for Mike to guess correctly on his first try as the probability of a correct guess is very lov OD Yes it is unlikely for Mike to guess correctly on his first try as the probability of a correct guess is very high OE Yes it is unlikely for Mike to guess correctly on his first try as the probability of a correct guess is very low OF It is impossible for Mike to not guess correctly on his first try as the probability of a correct guess is 1

Problem 1 Evaluate each of the following integrals show all necessary details a f sin x cos x dx

Use the given probability value to determine whether the sample results could easily occur conclusion In an SHRM survey of 410 human resource workers it was found that 148 of these workers have turned down job applicants because of information they found on social media A job recruiter claims that less than 50 of human resource professionals have turned down job applicants because of information found on social media If the true rate is 50 there is a 0 00000000978 probability of getting 148 or fewer human resource professionals who turn down job applicants because of information found on social media If the true rate is 50 is the result of 148 significantly low What does that suggest about the claim that the rate is less than 50 The result of 148 significantly low because the probability is then loma 0 05 This suggests

Solve the logarithmic equation algebraically Approximate the result to three decimal places If there is no solution enter NO SOLUTION X 16 In x 8

probability value to determine whether the sample results could easily occur by chance then form a A study addressed the issue of whether pregnant women can correctly predict the gender of their baby Among 104 pregnant women 57 correctly predicted the gender of their baby If pregnant women have no such ability there is a 0 327 probability of getting such sample results by chance What do you conclude conclusion The probability shows that the sample results have easily occurred by chance It appears that there sufficient evidence to conclude that pregnant women can correctly predict the gender of their baby

Based on Priceonomics data describing 49 deaths while taking selfies it was found that 37 of those deaths were males Assuming that males and females are equally likely to have selfie deaths there is a 0 000235 probability getting 37 or more males Is the result of 37 males significantly low significantly high or neither Does the result suggest that male selfie deaths are more likely than female selfie deaths This result is suggests male selfie deaths are because the probability is female selfie deaths 0 05 This

K Men have XY or YX chromosomes and women have XX chromosomes X linked recessive genetic diseases such as juvenile retinoschisis occur when there is a defective X chromosome that occurs without a paired X chromosome that is not defective Represent a defective X chromosome with lowercase x so a child with the xY or Yx pair of chromosomes will have the disease and a child with XX or XY or YX or xX or Xx will not have the disease Each parent contributes one of the chromosomes to the child Complete parts a through d below a If a father has the defective x chromosome and the mother has good XX chromosomes what is the probability that a son will inherit the disease 0 Type an integer or a decimal Do not round b If a father has the defective x chromosome and the mother has good XX chromosomes what is the probability that a daughter will inherit the disease Type an integer or a decimal Do not round