3 years ago

The middle school students made a new game

Mathematics

1 answer:

nignag [31]3 years ago

5 0

Step-by-step explanation:

0.416666666666666666666

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An airplane travels 6200 kilometers against the wind in 8 hours and 6840 kilometers with the wind in the same amount of time. Wh

lubasha [3.4K]

Answer:

still air = 815, wind = 40

Step-by-step explanation:

x+y=against

x-y=with

8(x+y)=6200

8(x-y)=6840

Divide 8.

x-y=775

x+y=855

Subtract. 2 from 1

2y=80

y=40

x=815

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3 years ago

Find the volume of the solid bounded by z = 2 - x2 - y2 and z = 1. Express your answer as a decimal rounded to the hundredths pl

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Answer:

The answer is " $(\frac{\pi}{2})$ ".

Step-by-step explanation:

$z = 2 - x^2 - y^2.........(1) \\\\z = 1.............(2)$

Let add equation 1 and 2:

Using formula: $x^2+y^2=1 \\\\$

convert to polar coordinates

$r=2$

$\theta \varepsilon (0=\pi)=z\\\\V=\int^{2\pi}_{\theta=0}\int^{1}_{\pi=0}\int^{z_{2}}_{z_1} r \ dr \d \theta\\\\$

$=\int^{2\pi}_{0}\int^{1}_{0} (Z_2-z_1)r \ dr \d \theta\\\\=\int^{2\pi}_{0}\int^{1}_{0} 1- (-1-x^2-y^2) r \ dr \d \theta\\\\=\int^{2\pi}_{0}\int^{1}_{0} (+1 \pm r^2) r \ dr \d \theta\\\\=\int^{2\pi}_{0}\int^{1}_{0} (-r^3 + r) \ dr \d \theta\\\\=\int^{2\pi}_{0} (-\frac{r^4}{4}+\frac{r^2}{1})^{1}_{0} \d \theta\\\\=\int^{2\pi}_{0} (\frac{1}{4}) \d \theta\\\\=(\frac{2 \pi}{4}) \\\\=(\frac{\pi}{2}) \\\\$

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3 years ago

What is <br><img src="https://tex.z-dn.net/?f=f%284%29%20%3D%20%20%5Csqrt%7Bx%20%7B%7D%5E%7B2%7D%20%7D%20%20-%205" id="TexFormul

dexar [7]

<h3>Solution:</h3>

$f(x) = \sqrt{ {x}^{2} } - 5 \\ = > f(4) = \sqrt{ {(4)}^{2} } - 5 \\ \: \: \: \: \: \: \: \: \: \: = \sqrt{16 } - 5 \\ = 4 - 5 \\ = - 1 \\ or \\ = - 4 - 5 \\ = - 9$

<h3>Answer:</h3>

-1 or -9

<h3>Hope it helps</h3>

ray4918 here to help

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An account manager for a local software agency believes there is a relationship between the number of contacts and the amount of

amid [387]

Answer:

b is the correct answer

Step-by-step explanation:

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Answer:

question is incomplete

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