Answer:
I am thinking B
Step-by-step explanation:
I may be wrong
Correct me
Answer:
Step-by-step explanation:
The equation used to represent the height of the ball, h in feet after t seconds is expressed as
h = -16t² + 48t + 8
The equation is a quadratic equation. The plot of this equation on a graph would form a parabola whose vertex would be equal to the maximum height travelled by the ball.
The vertex of the parabola is calculated as follows,
Vertex = -b/2a
From the equation,
a = -16
b = 48
Therefore,
Vertex = - 48/2 × - 16 = 48/32 = 1.5 seconds
So the ball will attain maximum height in 1.5 seconds.
To determine the maximum height, we would substitute t = 1.5 into the given equation. It becomes
h = -16(1.5)² + 48(1.5) + 8
h = - 36 + 72 + 8 = 44 feet
Answer: D) 
Step-by-step explanation:
From the given table we can see that this is not representing a linear function as the rate of change is not constant.
So it can be exponential growth function 
, where A is the initial amount , b is the multiplicative rate of growth and n is the time period in weeks.
Now here at n=1 , f(n)=8
Therefore, A=8
Now, for n=2
By substitute the values of A and b in the above equation, we get the equation
Therefore, the function best shows the relationship between n and f(n) is
, where n is the number of weeks.
Answer:
5^18.
Step-by-step explanation:
By the law of indices:
(a^b)^c = a^(bc)
So (5^3)^6
= 5^(3*6)
= 5^18.
The answer is (B).
If we substitute r = 6 inches into the volume of a sphere formula we get this:
π6³
Since 6³ = 216, we multiply this by 1.3333 to get 288. If we multiply this by pi we get 288π, or (B).
