Answer:
69
Step-by-step explanation:
5(
–
q+6)=
–
20
5q–30=
–
20
Add -5 to both sides
Subtract -5 from both sides
Multiply both sides by -5
Divide both sides by -5
Apply the distributive property
5q=
Add 30 to both sides
q=
Divide both sides by 5 would be 69
Answer:
The maximum height of the ball is 256m
Step-by-step explanation:
Given the equation of a pathway modelled as pathway can be modeled by h = -16t² + 128t
At maximum height, the velocity of the ball is zero.
velocity = dh/dt
velocity = -32t + 128
Since v = 0 at maximum height
0 = -32t+128
32t = 128
t = 128/32
t = 4seconds
The maximum height can be gotten by substituting t = 4 into the modelled equation.
h = -16t² + 128t
h = -16(4)²+128(4)
h = -16(16)+512
h = -256+512
h = 256m
Answer:
113.04
Step-by-step explanation:
V of Cylinder = h x r^2 x 3.14 (or pi)
Therefore, V of Cylinder is 9 x 2^2 x 3.14 = 113.04
This is an example of the quotient of powers property and tells us that when you divide powers with the same base you just have to subtract the exponents. When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1.
<u>Given Function is</u>
- f ( x ) = 7x - 7 ------- eqn ( 1 )
<u>Now , put the value of x = 8 in eqn ( 1 )</u>
- f ( 8 ) = 7 ( 8 ) - 7
- f ( 8 ) = 56 - 7
- f ( 8 ) = 49 ------- eqn ( 2 )
<u>Now , put the value of x = 4 in eqn ( 1 )</u>
- f ( 4 ) = 7 ( 4 ) - 7
- f ( 4 ) = 28 - 7
- f ( 4 ) = 21 ------- eqn ( 3 )
<h3 />
<u>From eqn ( 2 ) nd eqn ( 3 ) we get,</u>
- f ( 8 ) + f ( 4 )
- 49 + 21
- 70
Hope Helps! :)
