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3 years ago

Please answer this question now

Mathematics

2 answers:

Alekssandra [29.7K]3 years ago

5 0

Answer:

420 cubic inches is the answer

fenix001 [56]3 years ago

3 0

Answer:

420 cubic inches

Step-by-step explanation:

Volume of rectangular pyramid

= 1/3*lbh

= 1/3 * 10*9*14

= 10*3*14

= 420 cubic inches

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Maggie volunteered to bake a cake she decided to double the recipe if the original recipe calls for 3/4 cup brown sugar how much

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3/2

Step-by-step explanation:

3/4 * 2 = 6/4 = 3/2

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What does 3/8 + 7/8=

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Answer:

since the denominators are the same we add 3 and 7 in the numerator to get 10/8 or 1 2/8, and we can simplify to 5/4 or 1 1/4.

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What is the surface area of a rectangular prism with a height of 8 yd, length of 5.6 yd, and width of 2.3 yd?

sammy [17]

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152.16 yd²

Step-by-step explanation:

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The rate of growth of profit (in millions) from an invention is approximated by Upper P prime (x )equals x e Superscript negati

Alecsey [184]

Answer:

The function is $P(x) = \frac{1}{2} e^{-x^2} +0.016$

Step-by-step explanation:

From the question we are told that

The rate of growth is $P'(x) = xe^{x} - x^2$

The total profit is $P(2) =$ $25,000

The time taken to make the profit is $x = 2 \ years$

From the question

$P'(x) = xe^{-x^2}$ is the rate of growth

Now here x represent the time taken

Now the total profit is mathematically represented as

$P(x) = \int\limits {P'(x)} \, = \int\limits {xe^{-x^2}} \,$

So using substitution method

We have that

$u = - x^2$

$du = 2xdx$

$p(x) = \int\limits {\frac{1}{2} e^{-u}} \, du$

$p(x) = {\frac{1}{2} [ e^{-u}} +c ]$

$p(x) = {\frac{1}{2} e^{-x^2}} + \frac{1}{2} c$ recall $u = - x^2$ and let $\frac{1}{2} c = Z$

At x = 2 years

$P(x) =$ $25,000

Since the profit rate is in million

$P(x) =$ $25,000 = $\frac{25000}{1000000} =$ $0.025 millon dollars

$0.025 = {\frac{1}{2} e^{-2^2}} + Z$

=> $Z = 0.025 - {\frac{1}{2} e^{-2^2}}$

$Z = 0.016$

So the profit function becomes

$P(x) = \frac{1}{2} e^{-x^2} +0.016$

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