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A spherical weather balloon is being inflated. Beginning at 24 cm, the radius of the balloon is increasing at the rate of 4 cm per second. Express the surface area of the balloon as a function of time (in seconds). If needed you can enter as pi. (Hint: The surface area of a sphere is )
A coin is biased to show 38% heads and 62% tails. The coin is tossed twice. What is the probability that the coins turns heads on the second toss?
Nick can throw a baseball three more than 4 times the number of feet, f, that Jeff can throw the baseball. Which numbered expression can be used to find the number of feet that Nick can throw the ball?
Russ, Don, Pamela, and Stephanie are the first names of four friends who all received sports scholarships. Krieger actually has a full ride, because he is a star in two different sports. Use the clues to determine each person's full name.
Series convergence - Prove, using the definition, that the following sequence converger
The height of a door is 15 inches more than three times its width. What are the dimensions of the door if the perimeter is 246 inches?
Describe Important information about Queuing Theory. Compute the operating characteristics for the drive-through window queuing system.
The height of a ball (in feet) t seconds after it is thrown straight upward is determined by h(t)=16t^2+48t+7. How long did it take the ball to hit the ground?
consider a linear transformation T on R3 which reflects each vector about the line spanned by [1 2 3 ]. Find a basis B such that B-matrix of T is diagonal.
Find the vertex.
A printer has a contract to print 100,000 invitations for a political candidate. He can run the invitations by using any number of metal printing plates from 1 to 20 on his press.
From the top of a 295 ft lighthouse, the angle of depression to a ship in the ocean is 23°. How far is the ship from the base of the lighthouse? Round your answer to the nearest foot.
Make a ninety percent confidence interval for the proportion.
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