Answer:
The value of
is
.
Step-by-step explanation:
We know that the position function is given by

Velocity is defined as the rate of change of position. Therefore,

So, the velocity function is

When a body reaches a vertical velocity of zero, this is the maximum height of the body and then gravity will take over and accelerate the object downward. Thus,

We know that the ball bearing reaches its maximum height 21 seconds after being launched (t = 21 s).
So, the value of
is
.
Jason hit 11 homeruns.
Step-by-step explanation:
Homeruns hit by Nathan = 19
Let,
Homeruns hit by Nathan = x
Homerun hit by Jason = y
According to given statement;
x = 2y - 3 Eqn 1
We know that Nathan hit 19 homeruns, therefore, putting x=19 in Eqn 1

Dividing both sides by 2;

Jason hit 11 homeruns.
Keywords: linear equations, addition
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Answer:
A, C, E
Step-by-step explanation:
As long as all the 3 letters(D, K, and M) are included, it should be a valid name. These are the 3 points in the triangle afterall.
Let's choose 43° to be our angle. We know the opposite, and want to know the hypotenuse. Sine is the trig. we use for opposite over hypotenuse.
sinθ = opposite/hypotenuse
sin(43)=27/x
We want to isolate <em>x</em>, so that looks like:
x = 27/sin(43)
Therefore, the value of x is 27/0.682 or ≈39.589 or F
Answer:
Step-by-step explanation:
c