Answer:
<em>after 4seconds</em>
Step-by-step explanation:
Given the height, h , in feet, of the football above the ground after t seconds expressed by h ( t ) = − 8 t^2 + 32 t, the height of the ball on the ground is 0feet.
Substitute h(t) = 0 into the expression and calculate t;
h ( t ) = − 8 t^2 + 32 t
0 = − 8 t^2 + 32 t
8t² = 32t
8t = 32
Divide both sides by 8
8t/8 = 32/8
<em>t = 4s</em>
<em>Hence the football hits the ground after 4seconds</em>
Answer:
12
Step-by-step explanation:
Given that
Current count of pushups = 8
Number of increase in pushups each day = 2
The desired pushup goal on daily basis = 30
Days require = x= ?
as we can conclude the number of pushups would increase by following sequence
8, 10, 12, 14, 16, ......30
Now as we can be the number of pushups by a constant number each day it means this sequence is arithmetic.
First term of our sequence is X1 and the final term is Xn, and the difference between two consecutive terms (Common Difference) is 2.
So
X1 = 8
Xn = 30
d = 2
Using the formula of nth term for arithmetic sequence
Xn = X1 + (n-1)d
Substituting the values
30 = 8 + (n-1)2
30-8 = (n-1)2
22 = 2n -2
22+2 = 2n
2n = 24
n = 24/2
n = 12
So, it means on the 12th day he will have to do 30 pushups if he starts from 8 and increase 2 pushups each day.
Vertices are the essentially the corners of a shape. For example, a circle has zero vertices because there are no corners. A square has four because is has four corners, etc.
No you have to distribute soot would be 6w-12 i think
