Find the 12th term of the geometric sequence 3,6,12,24,..

2 answers:

5 0

3,6,12,24,48,96,192,384,768,1536,3072,6144 all you have to do is multiply the last number by 2

If correct please mark Brainliest.

Sveta_85 [38]2 years ago

3 0

The answer to this is:

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Write the following value in scientific notation: 0.00000000004589.

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Step-by-step explanation:

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Choose a situation that could be described by the following ratios, and write a sentence to describe the ratio in the context of

a_sh-v [17]

Part A:

Given the ratio 1 : 2, we can describe this ratio with the following situation.

The number of green balls to orange balls in the bag is in the ratio of 1 : 2. For every green ball in the bag, there are 2 corresponding orange ball.

Part B:

Given the ratio 29 : 30, we can describe this ratio with the following situation.

The ratio of the amount of sugar used to the amount of salt used to prepare the sugar-salt solution is 29 : 30. For every teaspoons of sugar used in the solution, 30 teaspoons of salt needs to be used.

Part C:

Given the ratio 52 : 12, we can describe this ratio with the following situation.

The number of kilometers travelled by the car and the bicycle is in the ratio of 52 : 12. For every 52 kilometers travelled by the car, the bicycle travelled 12 kilometers.

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2 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

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

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3 years ago

a store owner is arranging clothes on racks. she has30 sweaters 45 shirts and15 pairs of jeans she wants to put the same numbers

Gwar [14]

First,you have to divide and see which number can go into 45 , 15 , and 30 what ever your answer is thats how many of each item you can put on each shelf. In your case it would be 15

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3 years ago