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3 years ago

7

the population of the US was 282 million in the year 2000. and 309 million in the year 2010. assuming that the US population fol

lows the model of uninhibited population growth, what will the population be in the year 2050?

1 answer:

Alenkinab [10]3 years ago

6 0

Answer:

417 million

Step-by-step explanation:

309 minus 282 equals 27. That's how many people moved in 10 years.

Multiply 27 by 4 to get 108. That's how many people will move in 40 years.

Add that to 309 (the amount of people that were living in the U.S. in 2010) to get 417.

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Anarel [89]

Answer:

d)33

e)80

Step-by-step explanation:

I'm sorry I don't really know how to explain this.

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2 years ago

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Jericho is doing a quick survey for his high school newspaper. He hands out a simple index card to 100 seniors in his high schoo

Kazeer [188]

Answer:

50

Step-by-step explanation:

From research among high school students in the US, it was discovered in 2017 by US Centre for Disease Control and Prevention Agency(USCDC), that around 57.8% of high school students have drank alcohol in the previous 1 year.

Now, applying it to this question, since the survey is done among 100 seniors, the most modest probability would likely be 50% which represents 50 people out of the 100 surveyed that will likely check yes

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2 years ago

Maya had $27. She spent all the money on buying 3 burgers for $x each and 2 sandwiches for $y each. If Maya would have bought 2

defon

Answer:

Option C

The student's conclusion is correct because the solution to the system of equations $3x+2y=27$ and $2x+y=16$ is $(5,6)$

Step-by-step explanation:

Let

x------> the cost of each burger

y-----> the cost of each sandwich

we know that

$3x+2y=27$ -----> equation A

$2x+y=(27-11)$

$2x+y=16$ ----> equation B

Solve the system of equations

Multiply the equation B by $-2$

$-2(2x+y)=-2*16$ -----> $-4x-2y=-32$ ------> equation C

Adds equation A and equation C

$3x+2y=27 \\-4x-2y=-32\\ ----------\\ 3x-4x=27-32\\ -x=-5\\x=5$

Substitute the value of x in the equation B

$2(5)+y=16$

$10+y=16$

$y=6$

The solution of the system of equations is the point $(5,6)$

so

The price of each burger is $\$5$

The price of each sandwich is $\$6$

6 0

2 years ago

Read 2 more answers

Jesse has a storage container in the shape of a right rectangular prism. The volume of the container is 43.875 cubic meters, the

Gnom [1K]

Answer:

The height is 2.25 meters.

Step-by-step explanation:

The volume of a right rectangular prism is the product of the length, width, and height. So it would be V=w*l*h.

Because you have been given the values of the volume, width, and length, you can plug in those values into the equation to find the height. It should look like this: 43.875=5 * 3.9 * h

Then you can divide both sides of the equation by 5 * 3.9.

So... 43.875/(5*3.9)=h

therefore h= 2.25.

hope this explanation makes sense!

4 0

3 years ago

Read 2 more answers

This extreme value problem has a solution with both a maximum value and a minimum value. use lagrange multipliers to find the ex

noname [10]

$L(x,y,z,\lambda)=10x+10y+2z+\lambda(5x^2+5y^2+2z^2-42)$

$L_x=10+10\lambda x=0\implies1+\lambda x=0$

$L_y=10+10\lambda y=0\implies1+\lambda y=0$

$L_z=2+4\lambda z=0\implies1+2\lambda z=0$

$L_\lambda=5x^2+5y^2+2z^2-42=0$

$\begin{cases}L_x=0\\L_y=0\\L_z=0\end{cases}\implies1+\lambda x=1+\lambda y=1+2\lambda z=0\implies x=y=2z$

$5x^2+5y^2+2z^2=5(2z)^2+5(2z)^2+2z^2=42z^2=42\implies z^2=1$

$z^2=1\implies z=\pm1\implies x=y=\pm2$

There are two critical points, at which we have

$f\left(2,2,1\right)=42\text{ (a maximum value)}$

$f\left(-2,-2,-1\right)=-42\text{ (a minimum value)}$

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3 years ago