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4 years ago

15

Write as a decimal

s \frac{5}{8} " alt="1 \times \frac{5}{8} " align="absmiddle" class="latex-formula">

1 answer:

Sever21 [200]4 years ago

5 0

<em>Answer</em>

<u>0.625</u>

<em>Explanation</em>

5/8=0.625

1 x 0.625= 0.625

(basically the question was "convert 5/8 to a decimal" because 1 times any number is the same number)

<em>hope this helps!</em>

<em>have a great day :)</em>

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Answer:

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Dmitry_Shevchenko [17]

Answer:

$\displaystyle{\int^{\infty}_0 {50e^{-0.04t}}\, dt}=1250$

Step-by-step explanation:

Given:

$T =\displaystyle{\int^{\infty}_0 {Pe^{-kt}} \, dt}$

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k = 0.04

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now we need to solve this integral!

$T =\displaystyle{50\int^{\infty}_0 {e^{-0.04t}} \, dt}$

$T = \left|50\left(\dfrac{e^{-0.04t}}{-0.04}\right)\right|^{\infty}_0$

$T = \left|-1250e^{-0.04t}\right|^{\infty}_0$

$T = (-1250e^{-0.04(\infty)})-(-1250e^{-0.04(0)})$

when any number has a power of negative infinity it is 0. because: $a^-{\infty} = \dfrac{1}{a^{\infty}} = \dfrac{1}{\infty} = 0$ , like something being divided by a very large number!

$T = (-1250(0))-(-1250e^0)$

$T = 1250$

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