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2 years ago

Given f(x) = 2^x and g(x)=x+1, (fog)(x)=

Mathematics

2 answers:

Assoli18 [71]2 years ago

8 0

Answer:

Step-by-step explanation:

mixas84 [53]2 years ago

3 0

Answer:

(f ￮ g)(x) = $2^{x+1}$

Step-by-step explanation:

Substitute x = g(x) into f(x) , that is

(f ￮ g)(x)

= f(g(x))

= f(x + 1)

= $2^{x+1}$

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Dmitry_Shevchenko [17]

Answer:

$\displaystyle{\int^{\infty}_0 {50e^{-0.04t}}\, dt}=1250$

Step-by-step explanation:

Given:

$T =\displaystyle{\int^{\infty}_0 {Pe^{-kt}} \, dt}$

where,

T = total amount of waste

P = 50, the initial rate

k = 0.04

t = time

$T =\displaystyle{\int^{\infty}_0 {50e^{-0.04t}} \, dt}$

now we need to solve this integral!

$T =\displaystyle{50\int^{\infty}_0 {e^{-0.04t}} \, dt}$

$T = \left|50\left(\dfrac{e^{-0.04t}}{-0.04}\right)\right|^{\infty}_0$

$T = \left|-1250e^{-0.04t}\right|^{\infty}_0$

$T = (-1250e^{-0.04(\infty)})-(-1250e^{-0.04(0)})$

when any number has a power of negative infinity it is 0. because: $a^-{\infty} = \dfrac{1}{a^{\infty}} = \dfrac{1}{\infty} = 0$ , like something being divided by a very large number!

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$T = 1250$

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2 years ago

The box plots show male and female grades in a physics class. Which of the following best describes the information about the in

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3 years ago

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Elena-2011 [213]

The sale price is 85% of the regular price.

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Answers:

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You can check by the following:

30-25.5=4.5

30-4.5=25.5

4.5+25.5=30

25.5+4.5=30

100-15=85

100-85=15

85+15=100

15+85=100

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2 years ago

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Vesna [10]

Answer:

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Step-by-step explanation:

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3 years ago

Given f(x) = 2^x and g(x)=x+1, (fog)(x)=​

Given f(x) = 2^x and g(x)=x+1, (fog)(x)=