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ale4655 [162]
3 years ago
7

Find the output values of the exponential function g(x) = 4,096x for x = 0, 0.25, 0.50, 0.75, and 1.

Mathematics
2 answers:
Alex Ar [27]3 years ago
4 0

Hello,g(x)=4096^xg(0)=1g(0.25)=(2^12)^1/4=2^(12/4)=2^3=8g(0.50)=(2^12)^(1/2)=2^6=64g(0.75)=(2^12)^(3/4)=2^9=512g(1)=4096^1=4096.

Ratling [72]3 years ago
4 0

Answer:

Output values for g(x) = 4096^x

Step-by-step explanation:

We are given the following information in the question:

We have to evaluate the given exponential function.

g(x) = 4096^x

g(0) = 4096^0 = 1\\\\g(0.25) = 4096^{0.25} = 8\\\\g(0.50) = 4096^{0.50} = 64\\\\g(0.75) = 4096^{0.75} = 512\\\\g(1) = 4096^1 = 4096

These are the required output values.

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Suppose a population of deer in the state is 10, 289 and is growing 1% each year. Predict the population after 5 years
eimsori [14]

Answer: the population after 5 years is 10814

Step-by-step explanation:

The population growth of the deer is exponential. We would apply the formula for determining exponential growth which is expressed as

A = P(1 + r)^t

Where

A represents the population after t years.

n represents the period of growth

t represents the number of years.

P represents the initial population.

r represents rate of growth.

From the information given,

P = 10289

r = 1% = 1/100 = 0.01,

t = 5 years

Therefore,

A = 10289(1 + 0.01)^5

A = 10289(1.01)^5

A = 10814

3 0
3 years ago
* this is pretty difficult for me , provide details if necessary * // ANSWER ASAP //
fredd [130]

Answer:

A.

Step-by-step explanation:

1 radian = 180/π

So

Multiplying both sides by 25π/18

We'll get,

25π/18 (r) = (180/π)×(25π/18)

= (180×25)/18

= 10×25

= 250 degrees

5 0
3 years ago
In what way is ACCUPLACER an adaptive test?
Amanda [17]
It presents students with questions based on their answers to previous questions
7 0
3 years ago
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Convert the following fractions to decimals<br>9/16<br><br>6 3/5<br><br>1/4​
ZanzabumX [31]
0.5625
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8 0
3 years ago
Express the formula P=2L+2W in terms of the width,W. Use the formula to find the width when the perimeter is 70 and the length i
ozzi

Answer:

<h2>The width is 13</h2>

Step-by-step explanation:

From the question

P=2L+2W

where

L is the length

W is the width

To make W the subject move 2L to the left side of the equation

That's

2W = P - 2L

Divide both sides of 2 to make W stand alone

We have

W =  \frac{P - 2L}{2}

when

P = 70

L = 22

W is

W =  \frac{70 - 2(22)}{2}  \\ W =  \frac{70 - 44}{2}  \\ W =  \frac{26}{2}

We have the final answer as

<h3>W = 13</h3>

Hope this helps you

5 0
3 years ago
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