Suppose that the natural rate of unemployment in a particular year is 4 percent and the actual unemployment rate is 13 percent. Instructions: Enter your answers as a whole number. a. Use Okun's law to determine the size of the GDP gap in percentage-point terms. percent b. If potential GDP is $500 billion in that year, how much output is forgone because of cyclical unemployment? $ billion

Answer:

a). y = 7x - 46      b). y = -1/7x - 22/7

Step-by-step explanation:

a). y = 7x + b

-4 = 7(6) + b

-4 = 42 + b

-46 = b

y = 7x - 46

b). y = -1/7x + b

-4 = -1/7(6) + b

-4 = -6/7 + b

-22/7 = b

y = -1/7x - 22/7

Answer:

x = 0

Step-by-step explanation:

First, multiply 4 by x+1

4x + 4 = 3x + 4

Subtract 3x on both sides

x + 4 = 4

Subtract 4 from both sides

x =

this is x = 0, since x = nothing.

Answer:

x=0

Step-by-step explanation:

4(x+1)= 3x+4

Distribute

4x+4 = 3x+4

Subtract 3x from each side

4x-3x+4 =3x-3x+4

x+4 = 4

Subtract 4 from each side

x+4-4 = 4-4

x=0

Answer:

10.

Step-by-step explanation:

Answer:

The number is 10.

Step-by-step explanation:

x/5 = 2

Multiply both sides by 5.

5 * x/5 = 5 * 2

x = 10

Answer: The number is 10.

Answer:

Slope-intercept

y = 3/4(x) - 7

Point slope

y -5= 3/4(x - 16)

Step-by-step explanation:

In slope-intercept

We have the general slope intercept as;

y = mx + b

where m is the slope and b is the y-intercept

in this case, m = 3/4 and b = -7

So we have;

y = 3/4(x) - 7

In point-slope

we have the general form as;

y-y1 = m(x-x1)

So what we have is as follows;

y -5= 3/4(x - 16)

Where we have (x1,y1) = (16,5)

Answer:

The common difference is -4/3.

Step-by-step explanation:

Recall that the direct formula for an arithmetic sequence is given by:

[tex]\displaystyle x_n=a+d(n-1)[/tex]

Where n is the nth term, a is the initial term, and d is the common difference.

We are given that the first term a is 31.

We also know that the 28th term is -5. Hence, x₂₈ = -5. Substitute:

[tex]\displaystyle x_{28}=-5=(31)+d(28-1)[/tex]

Solve for d. Simplify:

[tex]-5=31+27d[/tex]

Thus:

[tex]\displaystyle 27d=-36[/tex]

Divide both sides by 27. Hence, the common difference is:

[tex]\displaystyle d=-\frac{36}{27}=-\frac{4}{3}[/tex]

Answer:

-4/3

Step-by-step explanation:

This question is equivalent to:

Find the slope of a line going through points (28,-5) and (1,31).

*Arithmetic sequences are linear. The common difference is the slope.

Any ways to find the slope line the points up and subtract vertically. Then put 2nd difference over 1st difference.

(28,-5)

(1,31)

---------subtracting

27, -36

So the slope or the common difference of this line or arithmetic sequence is -36/27. This reduces to -4/3.

the answer is 862sq units probably

Answer:

2

Step-by-step explanation:

a2 = a1×3

a3 = a2×3 = a1×3×3

=>

an = an-1 × 3 =

[tex]a1 \times {3}^{n - 1} [/tex]

a5 = 162 = a1×3⁴ = a1×81

a1 = 162/81 = 2

Answer: -1/9

Step-by-step explanation:

Answer:

- 1/9 OR -0.111....

Step-by-step explanation:

Make x= -3

-3^-2= -1/9

Given:

Number of flower pots = 6

To find:

The number of ways of the gardener to arrange the flower pots.

Solution:

Number of ways to arrange n items is n!.

So, the number of ways to arrange 6 pots is:

[tex]6!=6\times 5\times 4\times 3\times 2\times 1[/tex]

[tex]6!=720[/tex]

Therefore, there are total 720 ways of the gardener to arrange the flowerpots.

Answer:

-4°C

Step-by-step explanation:

At the beginning of the chemistry experiment the temperature of the liquid was -5°C and it dropped 9°C so you do:

-5°C - 9°C = -14°C

The answer is -14°C for the first part of the question because when you are subtracting a positive number from a negative number you have to add the two numbers together but your answer will always be a negative number.

Then you add 25°C to -14°C:

-14°C + 25°C = 11

Because when adding a negative number to a positive number that is bigger than the negative number you have to subtract but your answer will always be a positive number, however if the positive number is smaller than the negative number your answer will be a negative number.

Then you subtract 11°C from 15°C:

11°C - 15°C = -4°C

Because when you subtract a number that is bigger than the first number you get a negative number.

Answer:

The required ratio is 1 : 3.

Step-by-step explanation:

Let the length is L, width is W and the height is H.

Volume of the prism is

V = LW H

Volume of the pyramid

V' = 1/3 L W H

Ratio of volume of pyramid to the prism is

[tex]\frac{V'}{V} = \frac{1}{3}[/tex]

Answer:

a = 19

Step-by-step explanation:

If the rate of change is -8, subtract 8 from your y value of 27. And if 19 is correct, you should be able to subtract 8, and get 11 as the next number in the function, which you do, so 19 is the value of a.

Step-by-step explanation:

hope it helps

Answer:

all of the answers are correct

Step-by-step explanation:

Answer:

1234567891011121314151617181920

Step-by-step explanation:

you just count

Work Shown:

-2 + 11(17y + 15)

-2 + 11(17y) + 11(15) .... distributive property

-2 + 187y + 165

187y + (-2+165)

187y + 163

Answer:

Alternative

Step-by-step explanation:

Answer:

U=3 , U<3 , alternative

Step-by-step explanation:

Answer:

degree=3

coefficient=0.2

Answer:

Step-by-step explanation:

9) 12/n=20/25

simplify 20/25=4/5

12/n=4/5

cross product

n*4=12*5

4n=60

n=60/4

n=15

The missing proportion in each of the following problems shown below:

Statement of equality between two expressions consisting of variables and/or numbers

9) 12/n=20/25

12/n=4/5

n*4=12*5

4n=60

n=60/4

n=15

10) 5/8=n/24

   8n= 5*24

   8n= 120

    n= 120/8

    n=15

11) 2/3= 16/n

   2n=48

   n=24

12) 12/14= n/21

     n=18

13) n/10 = 6/15

    n=4

14)  12/3 = 10/n

     n= 2.5

15) 5/n = 10/16

       n=8

16) 12/8 = 4/n

     n=8/3

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ2

Answer:

B

Step-by-step explanation:

The sum of the inner angles of a quadrilateral is 360 degrees

135 + 110 + 68 + x = 360

313 + x = 360

x = 47 degrees

Answer:

47

Step-by-step explanation:

whole thing is 360 degrees

68 + 110 + 135 = 313

360 - 313 = 47

x looks small too (if you had to guess in a multiple choice question)

Answer:

a) 83,b) -4,c) 48,d) 16,e) 8

Answer:

95. 45%

Step-by-step explanation:

Given :

Mean score, = 64

Standard deviation = 2

Score between 60 and 68

P(Z < (x - mean) / standard deviation)

P(Z < (60 - 64) / 2) = P(Z < - 2) = 0.02275 (Z probability calculator)

P(Z < (68 - 64) / 2) = P(Z < 2) = 0.97725 (Z probability calculator)

P( score between 60 and 68)

P(Z < 2) - P(Z < - 2)

0.97725 - 0.02275 = 0.9545

Score between 60 and 68 = 0.9545 = 0.9545 * 100% = 95.45%

Answer:

w= -21

Step-by-step explanation:

Step-by-step explanation:

70

*4

___

280.......ans

Answer:

C) Chloroplast; thylakoid membrane

Step-by-step explanation:

The question is a biological science question

The light-dependent reactions also known as the light reactions take place at the location site of the chlorophyll of the plant cell, within the chloroplast thylakoid membrane, and involves the energizing of the electrons within the pigment molecules, the electrons are then transferred through a transport chain within the thylakoid membrane

The dark reactions take place inside the stroma

Therefore, the correct option is chloroplast; thylakoid membrane

Answer:

[tex]y = \frac{1}{2} x + \frac{1}{2} [/tex]

Step-by-step explanation:

choose 2 points to find slope

(1,1) (-3,-1)

[tex]m = \frac{ - 1 - 1}{ - 3 - 1} = \frac{1}{2} [/tex]

y-y1 = m(x-x1)

y-1 = 1/2( x-1)

y = 1/2x + 1/2

guessing

y= 1/2x + 1/2

did y2 - y1/ x2-x1

which gave

-3

-6

also it passed through the y axis at +1/2

Answer:

[tex](x + 7)(x - 4) \\ = { \tt{ {x}^{2} + 7x - 4x - 28 }} \\ = { \tt{ {x}^{2} + 3x - 28 }} \\ { \boxed{ \bf{g \: is \: 3}}}[/tex]

Answer:

g=3

Step-by-step explanation:

Hi there!

To find the value of g, we can expand the two binomials using the distributive property:

[tex](x+7)(x-4)\\= x(x-4)+7(x-4)\\= x^2-4x+7x-28\\= x^2+3x-28[/tex]

Therefore, the value of g that makes the equation true is 3.

I hope this helps!

Answer:

B.  120°

Step-by-step explanation:

Sum of the measures of the interior angle of a polygon with n sides:

(n - 2)180

We have a pentagon, a 5-sided polygon, so n = 5.

We first find the sum of the measures of the angles of any pentagon.

(5 - 2)180 = 3(180) = 540

From the figure, we add the measures of the 5 angles and set the sum equal to 540°.

3x + 4x + 4x + 4x + 3x = 540°

18x = 540°

Divide both sides by 18.

x = 30°

The angle at vertex C measures 4x.

4x = 4 * 30° = 120°

Answer: B.  120°

Answer:

there is 81 student and 317 adults adults :) got u

Step-by-step explanation:

4452 = 8n + (4n-7)12

4452 = 8n + 48n - 84

4536 = 56n

81 = n

Answer:

use mathpapa If that helps, it a math calculator

Answer and explanation:

Keira could get or look up an electronic copy of the book online. Once she has an electronic copy(pdf for instance) of the book, she can count number of e's in her book using the PDF reader or any software extension(good number of tools online) that would do just that.

Factors for Keira to consider:

How many lines and words are there on average per page; how many words are there per line?

How many e's are there manually counting for at least 5 pages.

Problems Keira might have in collecting data:

If book is physical and not an electronic copy, Keira may have to go through a tedious task of counting manually. She could make a rough estimation based on a few pages counted but she would need more accurate figures which requires the tedious task of counting e 's manually