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3 years ago

In triangle DEF, CG = (x + 5) units and DG = (3x – 2). What is DG?

Mathematics

2 answers:

pochemuha3 years ago

8 0

it is 34 units bro lol

Angelina_Jolie [31]3 years ago

5 0

Answer:

Step-by-step explanation:

1) 2(x+5)=(3x-2)

2x+10=3x-2

12=x

2) 12 times 3= 36

36-2 = <u>34</u>

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Radioactive Waste The rate at which radioactive waste is entering the atmosphere at time t is decreasing and is given by Pe^-kt,

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Answer:

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

Step-by-step explanation:

Given:

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

where,

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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!

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

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this is the total amount of waste

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