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3 years ago

Help pleasee last attempt

Mathematics

1 answer:

Lelechka [254]3 years ago

3 0

I believe the answer is 240 m.

To find the area make sure you multiply the base and the width.

4x8=32

Then you have to multiply 32 by the height.

32x7.5=240

Hope this helps!!!

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Evaluate the indefinite integral. (Use C for the constant of integration.) sin(10x) 1 cos2(10x) dx

Schach [20]

Answer:

The result of the integral is $-\frac{\cos^3{10x}}{30} + C$

Step-by-step explanation:

We are given the following integral:

$\int \sin{(10x)}\cos^{2}{(10x)} dx$

I am going to solve by substitution, using $u = \cos{10x}$ , so $du = -10\sin{10x}dx, dx = -\frac{du}{10\sin{10x}}$ . So, we have

$-\frac{1}{10} \int u^2 du$

Which has the following result:

$-\frac{u^3}{30} + C$

Going back to x, the result of the integral is

$-\frac{\cos^3{10x}}{30} + C$

5 0

3 years ago

Which of the following have the property that a(x)=a−1(x)? I. y=x II. y=1/x III.y=x^2 IV. y=x^3 A. I and II, only B. IV, only C.

valentina_108 [34]

Answer:

Correct answer:

A. I and II

Step-by-step explanation:

First of all, let us have a look at the steps of finding inverse of a function.

1. Replace y with x and x with y.

2. Solve for y.

3. Replace y with $f^{-1}(x)$

Given that:

$I.\ y=x \\II.\ y=\dfrac{1}x \\III.\ y=x^2 \\IV.\ y=x^3$

Now, let us find inverse of each option one by one.

I. y = x, a(x) = x

Replacing y with and x with y:

x = y

x = $a^{-1}(x)$ = $a(x)$ Hence, I is true.

II. $y =\dfrac{1}{x}$

Replacing y with and x with y:

$x =\dfrac{1}{y}$

$x=\dfrac{1}{a^{-1}(x)}$

$\Rightarrow a^{-1}(x) = \dfrac{1}{x}$

$a^{-1}(x)$ = $a(x)$ Hence, II is true.

III. $y =x^{2}$

Replacing y with and x with y:

$x =y^{2}\\\Rightarrow y = \sqrt x\\\Rightarrow a^{-1}(x) = \sqrt{x} \ne a(x)$

Hence, III is not true.

IV. $y =x^{3}$

Replacing y with and x with y:

$x =y^{3}\\\Rightarrow y = \sqrt[3] x\\\Rightarrow a^{-1}(x) = \sqrt[3]{x} \ne a(x)$

Hence, IV is not true.

Correct answer:

A. I and II

4 0

3 years ago

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Vilka [71]

The dimensions of the smaller box are half those of the larger box. This means that:
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3 years ago

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Answer:

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never [62]

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Therefore,
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5 0

3 years ago