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3 years ago

Enter the number using calculator notation. 8.5x 103 The number in calculator notation is

Mathematics

1 answer:

BabaBlast [244]3 years ago

4 0

Answer: 875.5x

Step-by-step explanation:

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State the domain of the following relation by clicking on the symbols to make the given answer correct.

alekssr [168]

Answer:

{x: x ∈ ℝ, x ≥ 0}

Step-by-step explanation:

The relation is only defined for non-negative values of x, so that is what the domain consists of: real numbers greater than or equal to zero.

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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

Dmitry_Shevchenko [17]

Answer:

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

Step-by-step explanation:

Given:

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

where,

T = total amount of waste

P = 50, the initial rate

k = 0.04

t = time

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

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!

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

$T = 1250$

this is the total amount of waste

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3 years ago

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boyakko [2]

Answer:

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Step-by-step explanation:

It moves to the right 3 and up 2.

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