Answer: 24.5
Step-by-step explanation: 1cm/9.8 mi
2.5cm/? 2.5 *9.8= 24.5
Answer:
Explicit formula is
.
Recursive formula is 
Step-by-step explanation:
Step 1
In this step we first find the explicit formula for the height of the ball.To find the explicit formula we use the fact that the bounces form a geometric sequence. A geometric sequence has the general formula ,
In this case the first term
, the common ratio
since the ball bounces back to 0.85 of it's previous height.
We can write the explicit formula as,

Step 2
In this step we find the recursive formula for the height of the ball after each bounce. Since the ball bounces to 0.85 percent of it's previous height, we know that to get the next term in the sequence, we have to multiply the previous term by the common ratio. The general fomula for a geometric sequene is 
With the parameters given in this problem, we write the general term of the sequence as ,

Answer:
Step-by-step explanation:
I believe that what you want to do here is to "differentiate" cos (2x - 1).
We must use the rule for differentiating cos x and also the chain rule, since the input to cos x here is (2x - 1).
(d/dx) is the derivative operator.
(d/dx) (cos x) = -sin x
(d/dx) cos (2x - 1) = - sin (2x - 1) * (d/dx) (2x -1) = -sin (2x - 1)(2) = -2sin (2x - 1)
<h3>
Answer: E. 7</h3>
=======================================================
Explanation:
Any point on the x axis always has its y coordinate equal to 0.
Plug in y = 0 and solve for x
y = 4x-28
0 = 4x-28
4x-28 = 0
4x = 28
x = 28/4
x = 7
Therefore, the point (7, 0) is on the line y = 4x-28 and also on the x axis. This is known as an x intercept.
Comparing (7, 0) this to (a, b) shows that a = 7 and b = 0.
110,000 is your answer
hope this helps