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vovikov84 [41]
3 years ago
10

What is the volume of a rectangular prism with length 7 cm, height 8 cm, and width 15 cm? A. 840 cm3 B. 840 cm2 C. 840 cm

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
3 0
It would be A 
8*7*15=840

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Which of the following is the solution to the differentiable equation dy/dx=4x/y, where Y(2)=-2
aliya0001 [1]

First we'll substitute \frac{dy}{dx} with y'

y'=\frac{4x}{y}

Then we can separate this.

yy'=4x

Then we'll solve this.

yy'=4x: \frac{y^2}{2}=2x^2+c_1

\frac{y^2}{2}=2x^2-6

y=2\sqrt{x^2-3},y=-2\sqrt{x^2-3}

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y=-2\sqrt{x^2-3}

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An initial population of 415
slamgirl [31]

Answer:

The exponential function to model the duck population is:

f(n)=415*(1.32)^n, where:

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n is the number of years

Step-by-step explanation:

In order to calculate the duck population you can use the formula to calculate future value:

FV=PV*(1+r)^n

FV=future value

PV=present value

r=rate

n=number of periods of time

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f(n)=415*(1+0.32)^n

f(n)=415*(1.32)^n, where:

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3 years ago
What is the best first step in solving the equation 3x2 + 8x = -5?
Rashid [163]
I would assume it would be dividing both sides by three although if someone were to actually solve this I would say multiply 2 and 3 together first.

Hope this helps :)
5 0
3 years ago
How far will a train travel in 5hours if it travels at 80ml per hour
Aleks [24]

Answer:

If the ml means miles than its 400

Step-by-step explanation:

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3 years ago
When the shaded region below is rotated about the x-axis the resulting solid is a circular cone with radius 2 m and height 3 m.
WARRIOR [948]

Answer:

Therefore, the volume of the cone is V=4π.

Step-by-step explanation:

From task we have a circular cone with radius 2 m and height 3 m. We use the disk method to find the volume of this cone.  

We have the formula:

\boxed{V=\int_0^h\pi \cdot \left(\frac{r}{h}x\right)^2\, dx}

We know that r=2 and h=3, and we get:

V=\int_0^3\pi \cdot \left(\frac{2}{3}x\right)^2\, dx\\\\V=\int_0^3 \pi \frac{4}{9}x^2\, dx\\\\V= \frac{4\pi}{9} \int_0^3 x^2\, dx\\\\V= \frac{4\pi}{9} \left[\frac{x^3}{3}\right]_0^3\, dx\\\\V= \frac{4\pi}{9}\cdot 9\\\\V=4\pi

Therefore, the volume of the cone is V=4π.

7 0
3 years ago
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