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erma4kov [3.2K]
3 years ago
13

What is the surface area of this right prism?

Mathematics
1 answer:
Naya [18.7K]3 years ago
8 0

Answer:

It's 96

Step-by-step explanation:

-<u>The left and right rectangles</u>
5*4=20

(5*4)*2=40


-<u>Triangle</u> (front and back)
8*3/2=12

(8*3)/2*2=24


-<u>Bottom Triangle (base</u>)

8*4=32


<u>-Area</u>
=40+24+32
=<em>96</em>

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The population P of a small town, measured in hundreds, is modeled by the inverse of the function P−1(t) = 10ln(50t − 1000), whe
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Using the inverse function, it is found that the equation is:

P(t) = \frac{e^{0.1t}}{50} + 20

It's initial value is 20.

---------------------------

We want to find the inverse of:

y = P^{-1}(t) = 10\ln{50t - 1000}

To do this, we <u>exchange y and t, and isolate y.</u>

Then:

10\ln{50y - 1000} = t

\ln{50y - 1000} = \frac{t}{10}

e^{\ln{50y - 1000}} = e^{0.1t}

50y - 1000 = e^{0.1t}

50y = e^{0.1t} + 1000

y = \frac{e^{0.1t} + 1000}{50}

y = \frac{e^{0.1t}}{50} + \frac{1000}{50}

P(t) = \frac{e^{0.1t}}{50} + 20

It's initial value is:

P(0) = \frac{e^{0.1(0)}}{50} + 20 = 0.02 + 20 = 20.02

Rounding, 20.

A similar problem is given at brainly.com/question/23950969

5 0
3 years ago
Complete the paragraph proof. We are given that Ray E B bisects ∠AEC. From the diagram, ∠CED is a right angle, which measures de
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5.
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