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Kaylis [27]
3 years ago
10

The vertex of the function is (6, -8)

Mathematics
1 answer:
kolbaska11 [484]3 years ago
5 0

Answer: I did a screen shot of the answer

Step-by-step explanation:

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A ball is thrown in the air that is 48 feet above the ground with an initial vertical velocity of 32 feet per second. The height
anastassius [24]

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.

7 0
3 years ago
A code consists of a digit chosen from 0 to 9 followed by a letter of the alphabet. What is the probability that the code is 9Z?
mart [117]

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)

⇒ 260

Now , 9Z is one combination ! So , probability :

⇒ \frac{1}{260}

⇒ 0.0038

Therefore , 0.0038  is the probability that the code is 9Z.

5 0
3 years ago
Advance tickets<br> same day tickets
Elina [12.6K]

Answer:


Step-by-step explanation:


7 0
3 years ago
Sam and his two friends went out to eat at diner. Their bill totaled $57.65. If they left their server a 20% tip, how much would
gayaneshka [121]
$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
5 0
3 years ago
Read 2 more answers
Identify the sequence graphed below and the average rate of change from n = 0 to n = 3.
Semmy [17]
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>
6 0
3 years ago
Read 2 more answers
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