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3 years ago

PLEASE HELP ME DEAR GOD Find the solution to the system of equations.

Mathematics

2 answers:

Naddika [18.5K]3 years ago

4 0

I think it’s (-1,1) too cause then meet there

Leviafan [203]3 years ago

3 0

(-1,1)
This is because the solution is the point where the two lines meet.

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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

A marketing firm is asked to estimate the percent of existing customers who would purchase a "digital upgrade" to their basic ca

Ugo [173]

Answer: A. 664

Step-by-step explanation:

Given : A marketing firm is asked to estimate the percent of existing customers who would purchase a "digital upgrade" to their basic cable TV service.

But there is no information regarding the population proportion is mentioned.

Formula to find the samples size , if the prior estimate to the population proportion is unknown :

$n=0.25(\dfrac{z*}{E})^2$

, where E = Margin of error.

z* = Two -tailed critical z-value

We know that critical value for 99% confidence interval = $z*=2.576$ [By z-table]

Margin of error = 0.05

Then, the minimum sample size would become :

$n=0.25(\dfrac{2.576}{0.05})^2$

Simplify,

$n=0.25\times2654.3104=663.5776\approx664$

Thus, the required sample size= 664

Hence, the correct answer is A. 664.

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4 years ago

In a pack of pretzel sticks, one-quarter of the total number of pretzel sticks is 14.

DanielleElmas [232]

Answer:

6 lol have a good day

6 0

3 years ago

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How do you find the lateral area of the prism

Lina20 [59]

Hi there!

The lateral area is the area of the figures connecting the bases. We have rectangles here. We'll need to find the area of each figure and add them together to find the lateral area.

WORK:
(2.8 x 12) + (8.1 x 12) + 2(4 x 12)
33.6 + 97.2 + 96
LA = 226.8 units^2

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

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