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3 years ago

I need helpppp plssss anyone I’m not the best at math :/

Mathematics

1 answer:

Ulleksa [173]3 years ago

7 0

Answer:

Step-by-step explanation:

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calculate the distance between each given pair of points round your answer to the nearest tenth if necessary (3,1) and (6,5)

AnnZ [28]

The distance between (3, 1) and (6, 5) is 5.

D=√(x₂-x₁)²+(y₂-y₁)²
D=√(6-3)²+(5-1)²
D=√3²+4²
D=√9+16
D=√25
D=5

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4 years ago

What is the explicit rule for this geometric sequence? PLEASE HELP

Yakvenalex [24]

Answer:

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3 years ago

A cone is stacked on top of a cylinder. They both share a circular base. The total height of the composite figure is 25. The hei

RSB [31]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

A balloon is blowing up at a constant rate of 9 cubic centimeters per second. When the volume of the balloon is 2048/3 pi cubic

jekas [21]

Answer:

$\displaystyle \frac{dr}{dt}\approx 0,0112\ cm/sec$

Step-by-step explanation:

<u>Rates of Change as Derivatives</u>

If some variable V is a function of another variable r, we can compute the rate of change of one with respect to the other as the first derivative of V, or

$\displaystyle V'=\frac{dV}{dr}$

The volume of a sphere of radius r is

$\displaystyle V=\frac{4}{3}\pi r^3$

The volume of the balloon is growing at a rate of $9\ cm^3/sec$ . This can be written as

$\displaystyle \frac{dV}{dt}=9$

We need to compute the rate of change of the radius. Note that both the volume and the radius are functions of time, so we need to use the chain rule. Differentiating the volume with respect to t, we get

$\displaystyle \frac{dV}{dt}=\displaystyle \frac{dV}{dr}\displaystyle \frac{dr}{dt}$

$\displaystyle \frac{dV}{dt}=4\pi r^2 \frac{dr}{dt}$

solving for $\displaystyle \frac{dr}{dt}$

$\displaystyle \frac{dr}{dt}=\frac{\frac{dV}{dt}}{4\pi r^2}$

We need to find the value of r, which can be obtained by using the condition that in that exact time

$\displaystyle V=\frac{2048}{3}\pi\ cm^3$

$\displaystyle \frac{2048}{3}\pi=\frac{4}{3}\pi r^3$

Simplifying and isolating r

$\displaystyle r^3=512$

$\displaystyle r=\sqrt[3]{512}=8\ cm$

Replacing in the rate of change

$\displaystyle \frac{dr}{dt}=\frac{9}{4\pi 8^2}$

$\displaystyle \frac{dr}{dt}=\frac{9}{256\pi }$

$\displaystyle \frac{dr}{dt}\approx 0,0112\ cm/sec$

8 0

3 years ago

Which equation has the steepest graph?

azamat

Each equation is in y = mx+b form (slope intercept form)
The m is the slope. It is the number just to the left of the x
y = x+3 is the same as y = 1x+3 since 1*x = x

The slopes for A, B, C, and D are: 1, -7, 3, and 5 respectively

The value -7 is furthest away from zero on the number line. So y = -7x+7 has the steepest graph

Answer: Choice B)

8 0

3 years ago