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2 years ago

What is the antiderivative of 4/e^4x?

1 answer:

7 0

$\displaystyle
F=\int \dfrac{4}{e^{4x}}\, dx\\
F=4 \int e^{-4x}\, dx\\
F=4 \cdot\left(-\dfrac{1}{4}e^{-4x}\right)+C\\
F=-e^{-4x}+C$

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Simplify to create an equivalent expression 6(7-3y)+6(y+1)

NeTakaya

Answer:

-12y+48

Step-by-step explanation:

6(7-3y)+6(y+1)

42-18y+6y+6

-12y+42+6

-12y+48

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2 years ago

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Rosario draws the right triangular prism shown here and calculates the volume. She then draws a second right triangular prism in

Tju [1.3M]

The volume of the original prism is given by:
V1 = (1/2) * (b) * (h) * (H)
Where,
b: base of the triangle
h: height of the triangle
H: prism height
The volume of the prism with new dimensions is:
V2 = (1/2) * (3b) * (3h) * (3H)
Rewriting:
V2 = (3 * 3 * 3) * (1/2) * (b) * (h) * (H)
V2 = (27) * (1/2) * (b) * (h) * (H)
V2 = (27) * V1
Answer:
The relationship between the volumes of the two prisms is:
V2 = (27) * V1

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2 years ago

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The blue figure is a dilation of the black figure. the labeled point is the center of dilation. tell whether the dilation is an

Varvara68 [4.7K]

Answer:

Step-by-step explanation:

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2 years ago

Jimmy invests $7,000 in an account that pays 3% interest compounded semi-annually. What is his balance after 8 years?

Bumek [7]

Answer:

$8882.9

Step-by-step explanation:

A=p(1+(r/n))^nt

Given:P=7000, r=(3÷100%)=0.03 , n=2, t=8

A = 7000(1+(.03/2))^(2×8)

A = 7000 (1+0.015)^16

A = 7000 × 1.015^16

A = $8882.9

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Step-by-step explanation:

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<5 = 60°(Ans)

<4 = 60°(Ans)

<3 = 120°(Ans)

<2 = 120°(Ans)

<1 = 60°(Ans)

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