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3 years ago

A parallelogram with an equal base and height and an area grater than 64 square meters

Mathematics

1 answer:

Sophie [7]3 years ago

5 0

Idk I just need to answer some more questions

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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,

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

6 0

3 years ago

What is the mean of a discrete random variable?

Hoochie [10]

Answer:

Discrete probability distribution

Step-by-step explanation:

A weighted average of the possible values that random a valuable can take

4 0

2 years ago

Given thatx x=time (hours) and y=distance (miles),find the rate of change: (2,70) (5,175)

djverab [1.8K]

The rate of change is 72

3 0

3 years ago

Write an equation of the line, in point-slope form, that passes through the two given points.

EleoNora [17]

(-2,15)(9,-18)
slope = (-18 - 15) / (9 - (-2) = -33/11 = -3

There can be 2 answers to this question....
point slope form : y - y1 = m(x - x1)

(1) using points (-2,15)...
y - 15 = -3(x + 2) <== one possible answer

(2) using points (9,-18)
y + 18 = -3(x - 9) <== another possible answer

3 0

3 years ago

Susie spent $78 in 3 hours. How much did Susie spend per hour?

mart [117]

Answer:

$26

Step-by-step explanation:

78 divided by 3

3 0

3 years ago

Read 2 more answers