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
.
Answer:
c
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
x = number of $1 bills
y = number of $5 bills
z = number of $10 bills
We know that:
x + y + z = 25 (total amount of bills)
x + 5y + 10z = 100 (total amount of money)
y = 4z (Given)
Substitute the third equation into the first one.
x + 4z + z = 25
x = 25 - 5z
Put this into the second equation.
(25 - 5z) + 5 (4z) + 10z = 100
Simplify and solve.
25 - 5z + 20z + 10z = 100
25z + 25 = 100
25z = 75
z = 3
Substitute this into y = 4z
y = 4 * 3
y = 12
So, there are 12 $5 bills.
100 cm = 1 meter
<span>4.5 meter x 100 cm = 450 cm </span>
<span>450 cm / 4.5 cm = number of pieces of ribbon </span>
<span>450/4.5 = 100</span>