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Mariana [72]
3 years ago
13

April shoots an arrow upward into the air at a speed of 32 feet per second from a platform that is 11 feet high. The height of t

he arrow is given by the function ​h(t)equalsminus16t squaredplus32tplus11​, where t is the time is seconds. What is the maximum height of the​ arrow?
Mathematics
1 answer:
dusya [7]3 years ago
8 0

Answer:

27 ft

the maximum height of the​ arrow is 27 ft

Step-by-step explanation:

Given;

The height of the arrow is given by the function;

h(t) = -16t^2 + 32t + 11

Maximum height is at point when dh(t)/dt = 0.

Differentiating h(t), we have;

dh/dt = -32t + 32 = 0

Solving for t;

-32t = -32

t = -32/-32 = 1

t = 1 (time at maximum height is t = 1)

Substituting t=1 into h(t), to determine the value of maximum height;

h(max)= -16(1^2) + 32(1) + 11

h(max) = 27 ft

the maximum height of the​ arrow is 27 ft.

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Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
Points Pand Q lie in plane A. How many lines contain P
jeka94

Answer:

The correct answer is :

1. Line PQ (One line PQ).

Step-by-step explanation:

The first step to solve this question is to draw the plane A with the points P and Q lying on it.

We know that given two different points there is only one line that contains this two different points.

Let's analyze each option.

''2. Lines PQ and QP''

This option is wrong because there aren't two different lines. In fact it is only one line that can be named line PQ or line QP.

''3. The 2 lines PQ and QP plus another line that does not lie in plane A.''

This option is assuming that exist three lines that contain P and Q. This option is also wrong.

''1. Line PQ''

This option is correct. It will be clarify with the drawing I will attach.

''We can't name them all!''

This option is assuming that exist infinite lines that contain P and Q. This option is wrong.

In the drawing I call the line that contains P and Q as line L.

Given that P and Q lie in plane A necessarily the line L must lie on the plane A.

8 0
3 years ago
PLEASE HELP ASAP
IrinaK [193]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
Express 78 billion in scientific notation
ryzh [129]

Answer:

7.8 * 10^{10} is scientific notation of 78 billion

Step-by-step explanation:

For scientific notation , follow the following notation:

a * 10^{b} -------->(equation 1)

Let,  a^{'} = 78 billion

a^{'} = 78000000000

a^{'} = 78000000000.0

In standard form

a = 7.8000000000

or

a = 7.8

As decimal point move 10 places from right to left, therefore

b = 10

Put the value of 'a' and 'b' in (equation 1)

7.8 * 10^{10} is scientific notation of 78 billion

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Sholpan [36]

LM + MN = LN

7x - 1 + 2x + 4 = 12

9x + 3 = 12

9x = 12 - 3

9x = 9

x = 9/9

x = 1

7 0
3 years ago
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