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2 years ago

Which expression is equivalent to 15 n=10 (n+3/n)?

Mathematics

1 answer:

Karolina [17]2 years ago

3 0

Answer:

±√6

Step-by-step explanation:

$15n=10(n+\frac{3}{n} )$ is your expression first muiltiply out the 10 to get 15n= 10n+10 3/n next subtract 10 n from both sides to get 5n=10+3/n multiply both sides by n to get 5n^2=13 combine both sides and use the quadratic equation to solve to get your solution of ±√6

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Jet001 [13]

Answer:

32,27,42,47,52

Step-by-step explanation:

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2 years ago

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What is the meaning of meters

horsena [70]

Answer:

the fundamental unit of length in the metric system, equal to 100 centimeters or approximately 39.37 inches.

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3 years ago

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

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

5 0

3 years ago

An advertising company charges $60 per half-page advertisement and $100 per full-page advertisement. Michael has a budget of $13

krek1111 [17]

Answer:

The number of half-page advertisements is 4.

The number of Full-page advertisements is 11.

Step-by-step explanation:

According to the Question,

Given, An advertising company charges $60 per half-page advertisement and $100 per full-page advertisement. Michael has a budget of $1340 to purchase 15 advertisements.

Let, 'x' be the number of half-page advertisements and 'y' be the number of full-page advertisements.

Thus, 60x + 100y is the money charged, and given that he has a budget of $ 1340.

60x + 100y = 1340

And, the number of advertisements is 15. So, the other equation is

x + y = 15

Now, We have Two Equations,

60x + 100y = 1340 and x + y = 15

the solution of the system is Put x=(15-y) in Equation 60x + 100y = 1340

60 (15-y) + 100y = 1340

900 - 60y + 100y = 1340

40y = 1340 - 900

40y = 440

y = 440/40

y = 11 So, For x = 15 - y ⇒ 15-11 ⇒ x=4 .

Thus, the number of half-page advertisements is 4 and The number of Full-page advertisements is 11 .

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2 years ago

What is 27/125 as a circuit

SSSSS [86.1K]

Answer:

Step-by-step explanation:

Find an answer to your question The voltage is 27/125 and it has been reduced 3 times. What is the original voltage in the circuit?

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3 years ago