304.00 in expanded form

In the following table of values, the first differences are

ExtremeBDS [4]

Answer:

-7

Step-by-step explanation:

Given

$\begin{array}{ccc}x & {y} & {First\ difference} & {-2} & {34} & {}&{-1} & {27} & {} &{0} & {20} & {} & {1} & {13} & {} & {2} & {6} &{} \ \end{array}$

Required

The first difference

To do this, we simply calculate the difference between the consecutive y-values.

i.e.

$d = y_{n+1} - y_n$

So, we have:

$d = y_2 - y_1 = 27 - 34 = -7$

$d = y_3 - y_2 = 20 - 27 = -7$

$d = y_4 - y_3 = 13 - 20 = -7$

$d = y_5 - y_4 = 6-13 = -7$

Hence, the first differences are -7 (all through)

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D%20%2B%5Cfrac%7B5%7D%7B7%7D%20%2B-%5Cfrac%7B1%7D%7B5%7D" id="TexFormula1"

natali 33 [55]

3/5 + 5/7 = 1 11/35 - 1/5 = 1 4/35 which is your final answer.

7 0

3 years ago

Read 2 more answers

What is the eighth multiple of 12

mylen [45]

Answer:

8 x 12 = 96!

Step-by-step explanation:

It is the same as 8 x 12, which would have the answer of 96.

3 0

3 years ago

Read 2 more answers

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

so

$y/x=k$

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

Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the me

mel-nik [20]

Answer:

The perimeter of the base of the birdhouse is 36 units

Step-by-step explanation:

The complete question is

Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?

step 1

Find the measure of the interior angle

Let

x ---> the measure of the interior angle

y ---> the measure of the exterior angle

Remember that

the sum of the interior and exterior angle in any polygon is equal to 180 degrees

so

$x+y=180^o$ ----> equation A