Inverse Trigonometric functions Questions and Answers

Business plan is another term for strategic plan True False

the conditional statement pq the contrapositive of the conditional statement in symbolic form is se the correct response below q p pq p q 9 P

K The inverse of p qis The inverse of p qis

nditional statement pq is equivalent to the following disjunction statement the correct response below p v q pv q pvq PA q

atements that have exactly the same truth values in the answer columns of their truth tables are called tements that have exactly the same truth values the answer columns of their truth tables are called statements statements

Question 1 Find the optimum price of fare if a transit company has 90000 daily passengers with a fair of 1 50 and would lose 2500 passengers for every 0 15 price increase

In which quadrant does the point 2 3 lie O III OIV

Alewuya invests 16 000 at 7 simple interest for 1 year How much is in the account at the end of the 1 year period Answer

Question 4 Find the unit price If necessary round your answer to the nearest cent You would enter an answer like 0 49 pound the value like 0 49 in the first box and the appropriate unit like pound in the second box 2 09 for 4 pints

Suppose an arc of length s lies on the unit circle x y 1 starting at the point 1 0 and terminating at the point x y Use a calculator to find the approximate coordinates for x y S 2 6 x y Type an ordered pair Round to four decimal places as nodod x y 1 0 x cos 0 y sin 8 0 1 Arc of length s 0 1 0 0 1 The unit circle x y 1

A 5 m stepladder propped against a classroom wall forms an angle of 30 with the wall Exactly how far is the top of the ladder from the floor Express your answer in radical form What assumption did you make

radicals only a 253 2 m 1 62 expression your answer using

2 4 5 ft 5 3 4 ft Find the perimeter of this rectangle Perimeter ft

4 It is estimated that each guest at a party will eat 7 with 12 pounds of chocolate guests pounds of chocolates How many guest can be served

Module 2 Challenge Exal 320 points possible 5 32 answered Question 21 Evaluate the expression 2 Your answer is

Question 13 Subtract 6 7 4 Next Question

tion 9 Use the rule of order of operations 3 4 Next Question 3 34

A diver starts out at 240 feet below the surface or 240 feet She then swims upward 107 feet Use a signed number to represent the diver s current depth I Enter an integer or decimal number more Next Question

X 2x 5 Submit Answer 45 Need Help Enter a fraction integer or exact decimal Do not approximate Read It 1 Points 6 4x 10 DETAILS HARMATHAP12 1 1 024 an exact answer Do not round If there is no solution enter NO SOLUTION Use a calculator to solve the equation Round your answer to three decimal places MY NOTES ASK YOUR TEACHER PRACTICE ANOTHE

In the study of marine adaptations of reptiles previous work has indicated that Gal pagos Island marine iguanas can hold their breath underwater a mean of 38 0 minutes The ocean temperatures in the Gal pagos have risen over the past decade which forces the iguanas to dive deeper for food more regularly Due to this an oceanographer claims that the mean time these iguanas can hold their breath underwater has increased To test this claim the oceanographer studied 20 randomly selected Gal pagos Island marine iguanas In the study the sample mean time the iguanas could hold their breath underwater was 38 7 minutes with a sample standard deviation of 42 minutes Assume that the population of amounts of time Gal pagos Island marine iguanas can hold their breath underwater is approximately normally distributed Complete the parts below to perform a hypothesis test to see if there is enough evidence at the 0 10 level of significance to support that the mean time Gal pagos Island marine iguanas can hold their breath underwater is now more than 380 minutes a State the null hypothesis and the alternative hypothesis that you would use for the test H D Student s t Distribution Step 1 Enter the number of degrees of freedom Step 2 Select one tailed or two taled O One tated Two tailed Stap 3 Enter the entical vaun e Round to 3 decimal places b Perform a hypothesis test The test statistic has a distribution so the test is a test Here is some other information to help you with your test is the value that cuts off an area of 0 10 in the right tail X H The value of the test statistic is given by Step 4 Enter the test statistic Round to 3 decimal pcs A 30 614 Since the value of the test statistic lies in the rejection region the null hypothesis is rejected So there is enough evidence to support the claim that the mean time Gal pagos Island marine iguanas can hold their breath underwater is now more than 380 minutes H Since the value of the test statistic lies in the rejection region the null hypothesis is not rejected So there is not enough evidence to support the claim that the mean time Gal pagos Island marine iguanas can hold their breath underwater is now more than 38 0 minutes ED USD 20 Since the value of the test statistic doesn t lie in the rejection region the null hypothesis is rejected So there is enough evidence to support the claim that the mean time Gal pagos Island marine iguanas can hold their breath underwater is now more than 380 minutes DID Since the value of the test statistic doesn t lie in the rejection region the null hypothesis is not rejected So there is not enough evidence to 0 0 0 0 Based on your answer to part b choose what can be concluded at the 0 10 level of significance about the claim made by the oceanographer 5 X S

What is the product 0 0 0 0 7s 14 5x x 2 5 7x 14 5 2 2 3 54 x 2 x2 25 x 5 where x 5 x 0 and x 5

Arrange steps in approaching proof of the theorem If direct proof doesn t lead to any result try a proof by contraposition or by contradiction Start to reason using the hypotheses together with axioms and available theorems Evaluate whether direct proof looks promising Expand definitions in the hypotheses

Consider the polynomial of degree 3 f x x x 2 How many real and imaginary zeros does this polynomial have O real zeros and 3 imaginary zeros 3 real zeros and 0 imaginary zeros 2 real zeros and 1 imaginary zero 1 real zero and 2 imaginary zeros

Which statement is true of the graphed function f x 5m 4m 11 2 3 3 FIM It 3 2 1 2 3 0 FIM 3 2 3 TU 4 3 OA The function is neither an even nor an odd function OB OC O D The function is an even function The function is an odd function More information is needed to determine whether the gr

33 of 50 Emily s Personal Auto Policy has Medical Payments Coverage with a 10 000 Limit shown on the Declarations Page If five people including Emily in that number are occupying her covered auto what is the maximum amount available using Emily s Medical Payments Coverage 50 000 10 000 40 000 It is impossible to determine without knowing who the people are

40 of 50 Which one of the following is a non owned auto by definition in Part D Coverage for Damage to Your Auto of a Personal Auto Policy a trailer owned by the named insured s resident son and borrowed by the named insured a car owned by the named insured but insured under another policy a car owned by the named insured s boss and assigned to the named insured for business a pickup the named insured borrowed from a neighbor because her car would not start For 2 point

For the function f x 5 x 8 find f 5 KATS 8 8

Find f for the function f x x 10 x 10 10 x 10 x 10

What is the inverse of f x 2x 5 5 2 2 5 2 2 3 2

What is the solution of the equation 25x 6 rounded to the nearest hundredth Answer type your answer

Consider the equations f x 7 5 g x 7x 4 8 Which sequence of transformations maps f x onto g x Right 4 and down 3 Left 4 and down 3 Left 4 and down 8 Right 4 and down 8

11 What is the surface area of a right triangular prism with a height of 20 units and a base with legs of length 3 units and 4 units and a hypotenuse of length 5 units A 240 units OA 2 B 264 units C 252 units D 246 units

15 A perfume box is in the shape of a hexagonal prism Find the lateral surface area of the hexagonal prism shown A OB C OE A B C 288 in 48 in 2 2 36 in D 384 in E 320 in 4 in 12 in

The graph of y 2x6 is shown below 275 A 3059 Which change in the equation would shift the entire graph to the left Replacing the 2 with a 3 Replacing the 6 with a 4 Replacing the 6 with a 9 2 with a 1

Given OC 13 BC 6 13 Find AB O B

A chain of gyms has 3 5 x 105 members throughout the U S Their total annual revenue fro membership fees is 4 2 x 10 dollars Assuming each member pays the same amount wha is the annual membership fee per person Write your answer in standard form Do not use exponents

If we reflect y 3x 2 4 over the y axis we would get Oy 3x 2 4 Oy 3 x 2 4 Next Oy 3 x 2 4 O y 3 x 2 4 Report an Error question 3 of 5

Consider the polynomial function Which statement is true f x x x 1 x 2 x 3 B A The polynomial function has 3 roots but only 2 of the roots are real numbers The polynomial function has 3 roots and all 3 of the roots are real numbers C The polynomial function has 4 roots but only 2 of the roots are real numbers D The polynomial function has 4 roots and all 4 of the roots are real numbers

What is the inverse of the function f x 3 x 2 A f x 2 B f x 2 cf x 2 C Df x 2

Solve the equation for X given that A 8X A 2B 12 3 4 18 and B

Solve the equation by the square root property x 3 4 What is the solution set Use a comma to separate answers as needed

Consider the graph of the linear function h x 6 4 BANDARE N What is the distance between the y intercept of the function j x x 5 and the y interce of h x

The radius of a globular cluster containing half a million stars is 10 parsecs or 3 1 x 10 4 km Assuming the cluster is spherical what is the density of stars in this cluster A 4 01 x 10 39 star per cubic kilometer B 4 14 x 10 25 star per cubic kilometer 1 25 x 1044 stars per cubic kilometer 1 21 x 1030 stars per cubic kilometer c D Hint Density Volume Volume Mass

A bank recently surveyed 203 young adults about how they were saving money The most common answers were saving money for school a car and a vacation Given the venn digram below find the probability of selecting a young adul who is What to Save Money For School 22 36 Car 21 Vacation 29 35 Saving for a car Saving for school given that he she is saving for a vacation Saving for a vacation given that he she is saving for a car

Let an denote the nth term of a geometric sequence Let do Part A Write an explicit formula for this sequence Part B 256 and ant1 0 50 To the nearest whole number what is the sum of the first 25 terms

Drag the correct point to complete the statement Given that f is an invertible function if the point x y lies on the graph of y f x then the point x y x y x x y x y is guaranteed to lie on the gra

b Let f x e sinx Use linear approximation at x 0 to estimate f 0 2

3 Determine the equation of a sine function that describes the following graph Show work 5 marks 2T 3 IT 6 2 0 2 FE 2

Part B Which equation represents the total cost based on the number of months of gym membership O A C 25m O B C 60 25m OC C 60m 25 OD C 25m 60

4 Write log4 3 3 log4 2 log4 6 2 log4 3 as a single logarithm K 3 marks