Sequences & Series Questions and Answers

The Sweet Sugar Bakery in downtown Millersburg is known for it s decadent pastries and elaborate cakes

The distances that an object falls is directly proportional to the square of the time t of the fall If an object falls 16 feet in 1 second how far will it fall in 5 seconds How long will it take an object to fall 256 feet An object will fall in 5 seconds THE

The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P If the volume of a gas is 500 cubic centimeters cc when the pressure is 200 millimeters of mercury mm Hg find the volume when the pressure is 400 mm Hg When the pressure is 400 mm Hg the volume is DEN

1 2 7270 3 1 y x y 9 8 7 654 Does the function above show exponential GROWTH or DECAY 7 6 SA

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 depres of freedom Step 2 Select one tailed or two taled O One tated OTwo tailed Step 3 Enter the critical value s Round to 3 ducal 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 TR Step 4 Enter the test statistic Round to 3 deckal places BUE 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 00 00 00 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 CD D C D 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 see minutes X 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 x x 3 5

ketch an angle in standard position such that has the least positive measure and the given point is on the terminal side of 8 Then find the values of the six trigonometric functions for the angle Rationalize denominators when applicable 21 2 hoose the correct sketch of the angle below A 64 10 G B 6 A Q 5 O C DA OD 6

To prevent pests an orchard can have no more than 9 times as many apple trees as peach trees Also the number of apple trees plus 3 times the number of peach trees must not exceed 504 The revenue from a single appletree is 81 and the revenue from a single peach tree is 168 Determine the number of each type of tree that will maximize revenue What is the maximum revenue Let x represent the number of apple trees and y represent the number of peach trees Answer Enter the value in the first box and the ordered pair in the second box Maximum revenue of Maximum revenue at Keypad Keyboard Shortcuts

10 Which lines are parallel Which lines are perpendicular Explain 4 1 1 3 4 1 2 4 4 2 4 2 0 5 12 2 2 1 5

What is the domain of this exponential function 104 10 8 all real numbers x x 5 x x 5 x x 5 6 x x 5 4 2 8 6 4 2 0 2 4 6 8 10 2 4 6 8 10

May 25 10 02 11 PM Watch help video Elijah invested 280 in an account paying an interest rate of 2 1 compounded continuously Assuming no deposits or withdrawals are made how long would it take to the nearest tenth of a year for the value of the account to reach 360 E

Vertex 5 Axis of Symmetry Opens Up or Down Maximum Minimum

x 2x 0 x 4

Complete the flow chart proot Ghen ACDS and ACDI are right triangles Prins ACDB ACDI P

10 8 6 4 Ay 10 B 6 6 10 X 6 8 10

Find the missing side 7 9 X 11 29 X 16 33 X 55

What is the value of ln