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Anettt [7]
2 years ago
10

Given g(x)=Squareroot x-4 and h(x)=2x-8, what is g(h(10))

Mathematics
2 answers:
yan [13]2 years ago
8 0

Answer:

g(h(10)) = 2\sqrt 2

Step-by-step explanation:

Given

g(x) = \sqrt {x - 4

h(x) = 2x - 8

Required

g(h(10))

First, calculate g(h(x))

We have:

g(x) = \sqrt {x - 4

This gives:

g(h(x)) = \sqrt {h(x) - 4

Substitute h(x) = 2x - 8

g(h(x)) = \sqrt {2x - 8 - 4

g(h(x)) = \sqrt {2x - 12

Substitute x = 10

g(h(10)) = \sqrt {2*10 - 12

g(h(10)) = \sqrt {20 - 12

g(h(10)) = \sqrt {8\\

Split

g(h(10)) = \sqrt {4} * \sqrt 2

This gives

g(h(10)) = 2\sqrt 2

Gemiola [76]2 years ago
5 0

Answer:

Step-by-step explanation:

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The population of a certain community is known to increase at a rate proportional to the number of people present at time t. If
attashe74 [19]

Answer:

t=7.85 years

Step-by-step explanation:

We can write this rate as an ordinary differential equation.

\frac{dP}{dt}=aP

Where a is proportional constant, P the population variable, and t the time.

\frac{dP}{P}=adt

Integrating each side of the equation.

\int \frac{dP}{P}=\int adt

ln(P)=at+c

P=e^{at+c}

P=e^{c}e^{at}=Ce^{at}

To find C we need to use the initial condiction, it means evaluae P at t=0.

P_{0}=Ce^{0}=C

P=P_{0}e^{at}

Now, we use the sentence  the population has doubled in 5 years.

2P_{0}=P_{0}e^{a5}

We can find "a" in this condition.

2=e^{a5}

ln(2)=a5

a=\frac{ln(2)}{5}

a=0.14

Finally, let's find how long will it take to triple.

3P_{0}=P_{0}e^{0.14t}

3=e^{0.14t}

t=\frac{ln(3)}{0.14}

t=7.85 years

I hope it helps you!

4 0
2 years ago
What grade average is 79.2 out of 120​
mina [271]

Answer:

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Step-by-step explanation:

Divide 79.2 by 120 and multiply by 100

3 0
3 years ago
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kykrilka [37]

Answer:

The only solution can be (0,-3) point.

Step-by-step explanation:

We have to judge whether the points in options are the solution to the graphed inequality or not.

The first point is (5,-5) which not included in the shaded region of the graph. Hence, it can not be a solution.

The second point is (6,0) which not included in the shaded region of the graph. Hence, it can not be a solution.

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The fourth point is (0,-3). It is on the firm red line which is included in the shaded region of the graph. Hence, it is a solution.

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Find the surface area of this rectangular prism: Don't forget to show the unit of measure.
Ann [662]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the attachment of the prism is not given.

From the attachment:

L =10cm -- Length

W = 4cm -- Width

H=5cm -- Height

Required

Determine the volume

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8 0
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I’m not sure but it’s either going to be b or c
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