<img src="https://tex.z-dn.net/?f=g%28n%29%20%3D%20%20-%20%20%7B2n%7D%5E%7B2%7D%20%20%2B%203" id="TexFormula1" title="g(n) = -

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baherus [9]

3 years ago

{2n}^{2} + 3" alt="g(n) = - {2n}^{2} + 3" align="absmiddle" class="latex-formula">
Find g(6)

Mathematics

1 answer:

RideAnS [48]3 years ago

6 0

$\bf g(n)=-2n^2+3\qquad \qquad g(\stackrel{\stackrel{n}{\downarrow }}{6})=-2(6)^2+3\implies g(6)=-2(36)+3 \\\\\\ g(6)=-72+3\implies g(6)=-69$

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What is the volume? Volume of pi form ? 18=height 10=radius

UNO [17]

Answer:

5652

Step-by-step explanation:

Hi there! Let's solve this problem together.

Formula for finding volume in pi: V = pi × radius squared × height

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314 multiplied by 18 is 5,652.

The answer is 5652. I hope this helps you!

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I NEED HELP ASAP

antoniya [11.8K]

a) The equation $V(m) = 8400 - 560\cdot m$ represents the discharge of the Grand Prismatic Spring.

b) The discharge of the Grand Prismatic Spring takes 15 minutes.

c) The remaining quantity after 7 minutes is 4480 gallons.

d) The hardness of cardboard is 2.

<h3>How to apply concepts of linear functions</h3>

a) In this case, the volume of water ( $V$ ), in gallons, decreases linearly in time ( $m$ ), in minutes. Then, we could model the situation by using the following expression:

$V(m) = V_{o} - \dot V \cdot m$ (1)

Where:

$V_{o}$ - Initial volume, in gallons.
$\dot V$ - Discharge rate, in gallons per minute.

If we know that $V_{o} = 8400\,gal$ and $\dot V = 560\,\frac{gal}{min}$ , then the volume of the Grand Prismatic Spring is represented by this expression:

$V(m) = 8400 - 560\cdot m$ (2)

The equation $V(m) = 8400 - 560\cdot m$ represents the discharge of the Grand Prismatic Spring. $\blacksquare$

b) By (1) and $V(m) = 0$ we find the time required for discharge:

$m = \frac{0 - 8400}{-560}$

$m = 15\,min$

The discharge of the Grand Prismatic Spring takes 15 minutes. $\blacksquare$

c) The quantity of gallons remaining is found by evaluating the function for $m = 7$ :

$V(7) = 8400 - 560\cdot (7)$

$V(7) = 4480\,gal$

The remaining quantity after 7 minutes is 4480 gallons. $\blacksquare$

d) According to Mohs scale, the hardness of feldspar is 6. The statement indicates the following relationship, as there is a constant relationship between both hardnesses:

$y = 3\cdot x$ (3)