Question

1. an object is launched vertically at 30 meters per second from a 55 - meter - tall platform. the height, h(t) meters, of the object t seconds after launch is modeled by h(t)=-4.9t² + 30t + 55. what will be the height, in meters, of the object 3 seconds after launch?

a. 44.1
b. 100.9
c. 145
d. 189.1

1. the whole numbers 1 through 30 were each written on separate pieces of paper. those 30 pieces of paper were put into a jar. one piece of paper will be randomly drawn from this jar. what is the probability that this piece of paper will have a prime number written on it?

f. 1/30
g. 1/20
h. 1/10
j. 10/30

1. for an angle with measure α in a right triangle, sinα = 5/13 and tanα = 5/12. what is the value of cosα?

a. 12/13
b. 12/√194
c. 12/√119
d. 13/12

1. which of the following values, if any, is the y - value of the solution set to the system of equations below?

2x - y = 7
-4x + 2y = 2
f. 2
g. 5
h. 9
j. there is no such value for y.

Explanation:

Step1: Substitute \(t = 3\) into the height function

Given \(h(t)=-4.9t^{2}+30t + 55\), substitute \(t = 3\):

$$
LATEXBLOCK0
$$

Step2: Calculate \(-4.9\times9\)

\(-4.9\times9=-44.1\)

Step3: Calculate the sum

$$
LATEXBLOCK1
$$

Answer:

B. \(100.9\)