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dybincka [34]
3 years ago
7

In the solid figure below, what is the volume of the right section of the figure?

Mathematics
1 answer:
masya89 [10]3 years ago
7 0
The answer is 32.

L x W x H
4 x 2 x 4
8 x 4
32

Hope this helps!
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Step-by-step explanation:

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The population of a certain species of bird in a region after t years can be modeled by the function P(t)= 1620/1+1.15e^-0.042t
natka813 [3]

Answer:

A

Step-by-step explanation:

The function is  \frac{1620}{1+1.15e^{-0.042t}}

To find the maximum population, we need to set t towards infinity to get our answer.

So, we replace time with maximum (\infty). Let's check:

\frac{1620}{1+1.15e^{-0.042t}}\\=\frac{1620}{1+\frac{1.15}{e^{0.042t}}}\\=\frac{1620}{1+\frac{1.15}{e^{0.042(\infty)}}}\\=\frac{1620}{1+\frac{1.15}{\infty}}\\=\frac{1620}{1+0}\\=\frac{1620}{1}\\=1620

The population of birds approaches 1620 as t goes towards infinity. So we can say the max population of the species is 1620.

Correct answer is A

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Find the slope of a line perpendicular to 3x + 5y = 15.
Zielflug [23.3K]

Answer:

B)5/3

Step-by-step explanation:

"3x + 5y = 15."

Rewrite in slope-intercept form.

The slope-intercept form is  

y=mx+b

where  m is the slope and  b  is the y-intercept.

y=mx+b

Subtract  3x  from both sides of the equation.

5y=15−3x

Divide each term by  "5"  and simplify.

5y/5=15/5−3x/5

"5" and "5" cancel each other out

Divide  15  by  5

y=3-3x/5

Reorder  3  and  −3x/5

y=-3x/5+3

Rewrite in slope-intercept form.

y=−3/5x+3

Slope:-3/5

The equation of a perpendicular line to  y=−3x/5+3  must have a slope that is the negative reciprocal of the original slope.

<em>m</em>perpendicular=−1/(−3/5)

Simplify the result.

mperpendicular=5/3

hope this helps!

8 0
3 years ago
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