The boundary of a lamina consists of the semicircles y = 4 − x^2 and y = 16 − x^2 together with the portions of the x-axis that join them. find the center of mass of the lamina if the density at any point is inversely proportional to its distance from the origin.

The function a represents the cost of manufacturing product a, in hundreds of dollars, and the function b represents the cost of manufacturing product b, in hundreds of dollars. a(t) = 5t + 2 b(t) = 7t - 2t +4 find the expression that describes the total cost of manufacturing both products, a(t) + b(t). a. 7t^2 - 7t + 2 b. 7t^2 + 3 +6 c. 7t^2 + 7t - 6 d. 7t^2 - 3t + 6

Haley buys 9 pounds of apples for $3. how many pounds of apples can she buy for $1?

In a probability experiment, karen flipped a coin 76 times. the coin landed on heads 32 times. what percentage of the coin flips resulted in tails? round to the nearest percent. a. 58% b. 65% c. 42% d. 60%