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2 years ago

Someone please help me

Mathematics

1 answer:

ludmilkaskok [199]2 years ago

3 0

Volume=s to the third power
2 1/2 to the third power is 15.625 inches
The answer is 15.625 inches

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A farmer fills his field proportionately with soybeans and corn. Last year he planted 200 acres of corn and 50 acres of soybeans

malfutka [58]

Answer:

Part A) Is a directly proportional

Part B) The constant of proportionality is $k=0.25$

Part C) The equation is $y=0.25x$

Part D) $62.5$ acres of soybeans

Step-by-step explanation:

Part A) Are the number of acres of corn and the number of acres of soybeans directly proportional or inversely proportional?

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$

Let

x-----> the number of acres of corn

y----> the number of acres of soybeans

$y/x=k$

if the number of acres of corn increases then the number of acres of soybeans increases

if the number of acres of corn decreases then the number of acres of soybeans decreases

therefore

The relationship is a directly proportional

Part B) What is the constant of proportionality?

we have that

For x=200, y=50

substitute

$y/x=k$

$k=50/200$

$k=0.25$

Part C) Let x equal the number of acres of corn and y equal the number of acres of soybeans. Write an equation to show this relationship.

The linear equation that represent the direct variation is equal to

$y/x=k$

we have

$k=0.25$

substitute

$y/x=0.25$

$y=0.25x$

Part D) How many acres of soybeans can the farmer plant this year if he plants 250 acres of corn?

For x=250

Find the value of y

substitute in the linear equation the value of x and solve for y

$y=0.25(250)=62.5$ -----> acres of soybeans

7 0

3 years ago

Find the average rate of change of the function over the given intervals. f(x) = 12x3 + 12; [5,7]

AlladinOne [14]

<span>average rate of change = (f(7) - f(5)) / (x7 - x5)
</span>f(7) = <span>12 (7^3) + 12 = 4128
f(5) = </span>12 (5^3) + 12 = 1512

so
average rate of change = (4128 - 1512)/(7-5)
average rate of change = 2616 / 2
average rate of change = 1308

hope it helps

7 0

3 years ago

George had $1,201.87 in taxable income for the last pay period. If the federal income tax rate was 15%, how much did George pay

Hatshy [7]

Just multiply the income by .15

1201.87 * .15 = 180.28

He paid $180.28

It could be a trick question though because he didnt have a lot of income so maybe he didn't pay any taxes.. I've heard that's a thing

4 0

3 years ago

Determine f(3)=?????

krok68 [10]

Answer:

f(3) = -4

Step-by-step explanation:

Draw a line parallel to the y-axis and cross point 3 on the x-axis. This line cuts the parabola at a point whose coordinates on the y-axis are f (3). This is -4.

Hope you understand.

5 0

3 years ago

Andy drew a regression line for this paired data set .

Genrish500 [490]

D ,

make sure to thank me!

6 0

3 years ago

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