Answer:
h(t) = -16(t - 1)² + 64
Step-by-step explanation:
The function that would best to use to identify the maximum height of the ball is the vertex form of the parabola.
The standard form of a quadratic function is
y = ax² + bx + c
The vertex form is
y = a(x - h)² + k
where (h, k) is the vertex of the parabola.
h = -b/(2a) and k = f(h)
In your equation, h(t) = -16t^2 + 32t + 48
a = -16; b = 32; c = 48
Calculate h
h = -32/[2(-16)]
h = (-32)/(-32)
h = 1
Calculate k
k = -16(1)² + 32×1 + 48
k = -16 + 32 + 48
k = 64
So, h = 1, k = 64, a = -16
The vertex form of the equation is h(t) = -16(t - 1)² + 64.
The graph below shows h(t) with the ball at its maximum height of 64 ft one second after being thrown.
0.0038 is the probability that the code is 9Z.
<u>Step-by-step explanation:</u>
Here we have , A code consists of a digit chosen from 0 to 9 followed by a letter of the alphabet. We need to find What is the probability that the code is 9Z . Let's find out:
A code consists of a digit between 0-9 , i.e. there are 10 choices . And followed by a letter i.e. from A-Z having 26 choices ! So combinations possible are :
0{A-Z}=26
1{A-Z} = 26
2{A-Z} = 26
3{ A-Z}=26
.......
9{A-Z}=26 or ,
⇒ 10(26)
⇒ 
Now , 9Z is one combination ! So , probability :
⇒ 
⇒ 
Therefore , 0.0038 is the probability that the code is 9Z.
Answer:
Step-by-step explanation:
$57.65 * 0.2 = $11.53 for tip
Total with tip = $57.65 + $11.53 = $69.18
Split the bill evenly = $69.18/2 = $34.59
For those who are looking for the answer, i just did the test, and got this question right. The answer is the second option: an<span> = 10(1/2</span>)n − 2<span>; average rate of change is negative thirty five thirds. Hope this helps you all, and good luck.</span>
