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4 years ago

Plz ANWSER no one else will amwser this

Mathematics

1 answer:

RoseWind [281]4 years ago

6 0

Answer:

1. 80.5

2. 432

3. 310.5

4. 26

Step-by-step explanation:

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Select steps that could be used to solve the equation 1 + 3x = -x + 4.

nata0808 [166]

Can there be more than one answer? I think it could be add x, subtract 1, divide by 4 and/or subtract 1, add x, divide by 4

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4 years ago

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A sphere of radius r is cut by a plane h units above the equator, where

Anika [276]

Consider the top half of a sphere centered at the origin with radius $r$ , which can be described by the equation

$z=\sqrt{r^2-x^2-y^2}$

and consider a plane

$z=h$

with $0$ . Call the region between the two surfaces $R$ . The volume of $R$ is given by the triple integral

$\displaystyle\iiint_R\mathrm dV=\int_{-\sqrt{r^2-h^2}}^{\sqrt{r^2-h^2}}\int_{-\sqrt{r^2-h^2-x^2}}^{\sqrt{r^2-h^2-x^2}}\int_h^{\sqrt{r^2-x^2-y^2}}\mathrm dz\,\mathrm dy\,\mathrm dx$

Converting to polar coordinates will help make this computation easier. Set

$\begin{cases}x=\rho\cos\theta\sin\varphi\\y=\rho\sin\theta\sin\varphi\\z=\rho\cos\var\phi\end{cases}\implies\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi$

Now, the volume can be computed with the integral

$\displaystyle\iiint_R\mathrm dV=\int_0^{2\pi}\int_0^{\arctan\frac{\sqrt{r^2-h^2}}h}\int_{h\sec\varphi}^r\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\varphi\,\mathrm d\theta$

You should get

$\dfrac{2\pi}3\left(r^3\arctan\dfrac{\sqrt{r^2-h^2}}h-\dfrac{h^3}2\left(\dfrac{r\sqrt{r^2-h^2}}{h^2}+\ln\dfrac{r+\sqrt{r^2-h^2}}h\right)\right)$

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3 years ago

What is the place value of the 3-digit in the number 11.321?

Karolina [17]

Answer:

Step-by-step explanation:

Since it is in the tens place. thank me please give me brainliest.

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3 years ago

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What is the value of y = 3x -1 when x is equal to 4?

UkoKoshka [18]

-11
I guess
Explanation
I don’t know the answer yes I am that dum
Ashiii
He is a picture for motivation

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3 years ago

Peter have twice as many stickers as Joe. Joe has 40 more stickers than Emily. They have 300 stickers together. How many sticker

Varvara68 [4.7K]

Answer:

170

Step-by-step explanation:

The given relations can be used to write and solve an equation for the number of stickers Peter has.

<h3>Setup</h3>

Let p represent the number of stickers Peter has. That is twice as many as Joe, so Joe has (p/2) stickers. Joe has 40 more stickers than Emily, so the number of stickers Emily has is (p/2 -40).

The total number of stickers is 300:

p +p/2 +(p/2 -40) = 300

<h3>Solution</h3>

2p = 340 . . . . . . . . . . . . . . add 40, collect terms

p = 170 . . . . . . . . . . . divide by 2

Peter has 170 stickers.

<em>Additional comment</em>

Joe has 170/2 = 85 stickers. Emily has 85-40 = 45 stickers.

We could write three equations in three unknowns. Solving those using substitution would result in substantially the same equation that we have above. Or, such a system of equations could be solved using a calculator's matrix functions, as in the attachment.

p +j +e = 300

p -2j +0e = 0

0p +j -e = 40

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1 year ago