Questions

1 The pressure gauge in an air cylinder reads 2000 kPa The cylinder is constructed of a 15 mm rolled steel plate with an internal diameter of 800 mm The tangential stress MPa inside the tank is

2 1 ft rod with a diameter of 0 9 in is subjected to a tensile force of 1 000 lb and has an elongation of 0 01 in The modulus of elasticity ksi of the material is

The piston of a steam engine is 50 cm in diameter and the maximum steam gauge pressure is 1 4 MPa If the design stress for the piston rod is 68 MPa its cross sectional area m should be most nearly P 1 4 MPa 50 cm rod

The maximum inplane shear stress ksi in the element shown below is most nearly 20 ksi 10 ksi 40 ksi

Use the approximate half life formula for the case described below Discuss whether the formula is valid for the case described Urban encroachment is causing the area of a forest to decline at the rate of 9 per year What is the half life of the forest What fraction of the forest will remain in 2 years Use the approximate half life formula What is the half life of the forest years Type an integer or decimal rounded to the nearest hundredth as needed

A ball is thrown vertically upward with an initial velocity of 48 feet per second The distance s in feet of the ball from the ground after t seconds is s 48t 10 a At what time t will the ball strike the ground b For what time t is the ball more than 32 feet above the ground Jal ho ha

6 For a given material the modulus of elasticity is 300 GPa and it s Poisson ratio is 0 5 The shear modulus is

5 A steel rod 6 meters in length elongates to 6 5 m under stress Calculate the percent elongation

4 Helen earns 7 50 an hour at her job but if she works more than 35 hours in a week she is paid 1 1 2 times her regular salary for the overtime hours worked One week her gross pay was 318 75 How many overtime hours did sh work that week

A firm is considering purchasing a machine that costs 65 000 It will be used for six years and the salvage value me is expected to be zero The machine will save 45 000 per year in labor but it will incur 9 000 in operating a naintenance costs each year The machine will be depreciated according to five year MACRS The firm s tax rate 28 and its after tax MARR is 14 Should the machine be purchased Click the icon to view the MACRS depreciation schedules Click the icon to view the interest factors for discrete compounding when i 14 per year he present worth of the project is Round to the nearest dollar

Use the given dimensions to find the length of each circular arc Round your answers to two decimal places a a 30 C 54 cm 103 18 X cm b 2 65 c 22 13 d a 76 r 2 ft ft 145 C 56 in 9 m Xin 150

The area of the base of the cone is 49 square millimeters and the area of the lateral surface is 84 square millimeters Find the radius r and slant height of the cone r 7 mm l 5 X mm l MY NOTES Need Help Read It ASK

d 127 46 6 9 m 4 2 m X m

Paragraph about result explanation trend of Figure 1 and Figure 2 1 2 about gel image Figure 1 1 2 sentences about standard curve Figure 2 2000 bp 1500 bp 1000 bp 700 bp 500 bp 400 bp 300 bp 200 bp 75 bp DNA Ladder GMO GMO Food sample GMO GMO Food sample

point For this scenario Identify the following If there is not enough information given or there are no values enter NONE rancine throws a wrench into the air from the bottom of a trench 12 feet deep It flies up and reaches a maximum height of 4 feet above the ground after 1 second then lands on the ground 1 5 seconds after it is thrown Its height in feet a round level t seconds after she throws it is given by the quadratic function h t ertex 1 4 omain 0 1 5 ange 12 4 artical intercept 0 12 Orizontal intercept s 4 0 12 0 5

The solid contains a cylinder and a hemisphere Find the volume of the composite solid Round your answer to two decimal places m Need Help Read It 4 4 m 5 m

You have determined that you can install a round swimming pool that has an area that is less than 600 square feet Are you able to install a swimming pool that has a diameter of 26 Explain The radius of the circular pool is is Select 600 you are Select ASK YOUR TEA feet The approximate area of the pool rounded to two decimal places is to install a swimming pool with a diameter of 26 feet square feet Since the area

Sketch a net of each cylinder Then find its surface area Round your answers to two decimal places a 5 in 5 in 18 cm cm 5 in 8 cm

Find the perimeter of each semicircle given its radius or diameter Round your answers to two decimal places a d 12 mm mm b c d r 2 ft ft 7 m m 14 5 in

Graph the solution set of the system of inequalities y 2x 6 y 1 2 X x 0 y 0 X 3

Find the volume of each cylinder Round your answers to two decimal places a 6 cm b c cm3 26 ft ft3 6 in in 3 8 cm 9 ft 15 in

The area of the base of the cone is 49 square millimeters and the area of the lateral surface is 84x square millimeters Find the radius r and slant height of the cone r mm mm

The fountain shown below is made up of two semicircles and one fourth of a circle 6 m area Find the perimeter and the area of the fountain Round your answers to two decimal places perimeter 6 m m m

The circumference of the top rim of the cone shaped paper cup is 7 49 inches Find the least amount of paper that can form the cone shaped cup Round your answer to two decimal places in C 7 49 in 3 6 in

d 9 9 mm 1 1 mm 3 3 mm

Indicate whether the following statement is true or false A customer prepaid a services fee to Link Co a year ago Upon the completion of its services Link Co would record nothing because the cash had been collected during the previous year True or False True False

Predict if the lipid below will give a positive result to the tests below Then indicate the portion or the structure that contributes to the positive result for its corresponding test CH O C CH2 16CH3 CH O C CH2 CH CHCH CH CH CH2 CH3 0 CH CH N CH3 3 CH2 O Test A Liebermann Burchard Test B Test for Phosphate O Yes or No Test D Molisch Test E Kraut s Test Yes or No

2 Is the point 5 0 on the graph of y sin x Explain

9 Consider the graph of y cos x a Identify the ordered pairs of three x intercepts of y cos x b What does an x intercept on the graph of y cos a represent Explain using your knowledge of the unit circle c Can you come up with a rule for identifying all the x intercepts of y cos x d Is the distance between the x intercepts the same as the period of the function Why or why not

what are some intersection points for equation y 9456 1 74x

3 Describe what is meant by the statement the period of y 1 sin x is 27

Use the approximate half life formula for the case described below Discuss whether the formula is valid for the case described Urban encroachment is causing the area of a forest to decline at the rate of 10 per year What is the half life of the forest What fraction of the forest will remain in 10 years Use the approximate half life formula What is the half life of the forest years Type an integer or decimal rounded to the nearest hundredth as needed

4 Graph y cos x for T x 4 3A y 0 1 TT 2TT 3TT 4TT X

5 Could this be the graph of y not sin x Why or why AN

6 For which of the following functions is it true that f x f x A f x B f x cos x C Both f x sina and f x cos x D Neither f x sinx nor f x sin x

the indicated base 2four 222four 2four 222 four four X 0 1 2 3 0 0 0 0 0 1 0 1 2 3 Dast

Unit 5A Quadratic Inequality Remediation Assignment Maximum of 20 Points Highest grade a 70 Directions You can complete this assignment for a maximum of 20 points or a 70 In order to receive full credit all work must be shown The answers must be written in complete sentences You may choose 5 out of 7 problems 4 pts each Show all work and write your answer mathematically and in words DUE DATE Monday February 12 2024 during your class period NO LATE WORK ACCEPTED 1 A ball is thrown vertically upward with an initial velocity of 96 feet per second The distance s in feet of the ball from the ground after t seconds is s t 96t 16t a How many seconds will it take for the ball to strike the ground b Use interval notation to indicate the time s t where the ball is more than 128 feet above the ground 2 A scientist records the motion of a dolphin as it jumps from the water The function h t 16t 32t models the dolphin s height in feet above the water after t seconds Show all work and write your answer mathematically and in words Write and solve an inequality to determine when the dolphin is above 10 feet 3 A firework is shot straight up into the air with an initial velocity of 500 feet per second from 5 feet off the ground The function modeling the path of the firework is h t 16t 500t 5 where h t is the height in feet t seconds after it is shot in the air Show all work and write your answer mathematically and in words a At what time will the fireworks hit the ground b Write and solve an inequality that represents when the firework is at or above 2500 feet

4 The height in feet of a football that is kicked can be modeled by the function f x 16x 64x where x is the time in seconds after it is kicked Show all work and write your answer mathematically and in words a For what time s t is the ball above a height of 48 feet above the ground 5 An object is launched from ground level directly upward at a rate of 144 feet per second The object s height can be modeled with the function h t 16t 144t Show all work and write your answer mathematically and in words a What values of t is the object at or above a height of 288 feet b How long is the object at or above 288 feet 6 The function g t 2 23 7t 4 9t models the height in meters of a pumpkin t seconds after it has been launched from a catapult Show all work and write your answer mathematically and in words Write and solve a quadratic inequality that represents when the pumpkin is within 15 feet from the ground 7 The path of a large stone fired from a catapult can be modeled by the equation y 00545x 1 145x where x is the distance in yards and y is the height in yards Use a graph to answer the following Find the maximum height of the stone Find the distance s x when the height is greater than 50 yards

K Heights of adult males are normally distributed If a large sample of heights of adult males is randomly selected and the heights are illustrated in a histogram what is the shape of that histogra Choose the correct answer below O Bell shaped Longer tail to the left O Longer tail to the right O Uniform CIS

Consider a corporation whose taxable income without state income tax is Click on the following icon in order to copy its contents into a spreadsheet Gross revenue All expenses 3 100 000 1 500 000 If the marginal federal tax rate is 25 and the marginal state rate is 5 compute the combined state and federal ta using the two methods

1 When graphing y cos x on the xy coordinate plane describe what is measured on the x axis and y axis

K Determine whether the underlined number is a statistic or a parameter In a study of all 4795 professors at a college it is found that 35 own a computer CCIDE Choose the correct statement below Statistic because the value is a numerical measurement describing a characteristic of a sample Parameter because the value is a numerical measurement describing a characteristic of a population Statistic because the value is a numerical measurement describing a characteristic of a population Parameter because the value is a numerical measurement describing a characteristic of a sample

Kai says the amplitude of y cos x is 2 since the distance between the maximum and the minimum value is 2 Is Kai correct Explain

The current population of a threatened animal species is 1 2 million but it is declining with a half life of 25 years How many animals will be left in 30 years in 5 years The population after 30 years will be animals Round to the nearest whole number as needed

Suppose the cells of a tumor are idealized as spheres each with a radius of 4 m micrometers The number of cells has a doubling time of 40 days Approximately how long will it take a single cell to grow into a multi celled spherical tumor with a volume of 0 6 cm 1 cm 10 000 m Assume that the tumor spheres are tightly packed Choose the function below that best gives the exponential growth for a number of cells where y t is the number of cells in the tumor A y t 0 6e0 017329t B y t 0 017329t C y t 0 017329t OD y t 0 6e 0 017329t It would take a single cell about days to grow into a multi celled spherical tumor with a volume of 0 6 cm

A 1 2 0 3 3 A a11 912 a21 922

Evaluate the following integral In 10 In 10 Sa In 6 coth 6s ds coth 6s ds Type an exact answe

LED light emitting diode bulbs are rapidly decreasing in cost and they are more energy efficient than standard incandescent light bulbs and CFL compact fluorescent light bulbs Haitz s law predic that the cost per lumen of an LED bulb decreases by a factor of 10 every 10 years This means that 10 years from now the cost of an LED bulb will be 1 10 of its current cost Predict the cost of a particular LED bulb in 2026 if it costs 4 dollars in 2018 Create an exponential model for the given situation Use the exact value for k in the function y t Type an expression using t as the variable COLLE

5 2 1 Bending Stress and the Plastic Moment A flexural member is fabricated from two flange plates 2 x 7 and a web plate x 17 The yield stress of the steel is 50 ksi a Compute the plastic section modulus Z and the plastic moment Mp with respect to the major principal axis b Compute the elastic section modulus S and the yield moment M with respect to the major principal axis What do you think about the answer

A consumer electronics company was formed to develop cell phones that run on or are recharged by fuel cells The company purchased a warehouse and converted it into a manufacturing plant for 9 000 000 It completed installation c assembly equipment worth 1 500 000 on December 31st The plant began operation on January 1st The company ha a gross income of 9 000 000 for the calendar year Manufacturing costs and all operating expenses excluding the capital expenditures were 2 380 000 The depreciation expenses for capital expenditures amounted to 449 000 The corporate tax rate is 21 a Compute the taxable income of this company The taxable income of this company is Round to the nearest dollar