Suppose for every dollar change in household wealth, consumption expenditures change by $0.05. If real household wealth declines by $45 billion, potential GDP is $120 billion, and the multiplier effect for the second year after an expenditure shock is 1.1, what is the total change in output relative to the potential for the second year?

Answer:

C

Step-by-step explanation:

(f + g)(x) = f(x) + g(x), thus

f(x) + g(x)

= 5x - 2 + 2x + 1 ← collect like terms

= 7x - 1 → C

Answer:

it is C.

Step-by-step explanation:

Answer:

(A) The M virus is larger than the P virus in diameter

(B) Diameter of virus M is 25 times the diameter of virus P

Step-by-step explanation:

Notice that the values given are in the so called "scientific notation", and which involves in this case negative exponents for the multiplier 10.

So we can write these values in decimal form for easier comparison of which one is he largest one:

Diameter of M virus = [tex]5\,*\,10^{-7}\,m = 0.0000005\,\,m[/tex]

Diameter of P virus = [tex]2\,*\,10^{-8}\,m = 0.00000002\,\,m[/tex]

Which clearly shows that virus M is larger than virus P in diameter

The quotient between diameters will give us the answer to how many times larger virus' M diameter is:

[tex]\frac{M}{P} =\frac{0.0000005}{0.00000002} \\\frac{M}{P} =25[/tex]

Answer:

22 blue blocks

17 green blocks

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

There are five more blue blocks than green blocks.

So, the number of blue blocks (b) is equal to the number of green blocks (g) plus 5.

Three times the number of green blocks (3g), increased by double the (+2b) number of blue, equals 95.  

The system is  

b = g+5

3g+2b =95

Replacing b=g+5 in the second equation:

3g + 2 (g+5)=95

Solving for g:

3g +2g+10 =95

5g = 95-10

5g=85

g= 85/5

g= 17

Replacing g=17 in the first equation:

b = g+5

b = 17 +5

b=22

Answer:

(9,-5)

Step-by-step explanation:

Find the middle of each of the x and y coordinates. Then put that together.

Answer:

The correct answer is

(9, -5)

Find the middle of each of the x and y coordinates. Then you can plug in each x/y into a coordinate. This will get you the midpoint.

Hope I could help

- Quinn :)

Answer:

The third one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The rule is, whenever you plug in g(x) into f(x) or vice versa, they always must equal x. So if you plugged in g(x) into f(x), then the outcome should be x. If the output is not x, then they are not inverses.

Answer:

3

Step-by-step explanation:

Answer:

1

From -2 to 0 there is 2, but from  1 to 3 there is also 2, so 2/2=1

Answer:

0, 1, and 4

Step-by-step explanation:

Since the denominator of a fraction must not be 0 or it would be undefined, when the denominator is 0 is where you will find your restrictions:

[tex]x^3-5x^2+4x=0 \\\\x(x^2-5x+4)=0 \\\\x(x-1)(x-4)=0[/tex]

Therefore, by the zero product property, the restrictions are 0, 1, and 4. Hope this helps!

Answer:

X cannot equal 0,1,4

Step-by-step explanation:

The restrictions are when the denominator goes to zero

x^3 -5x^2 +4x

Factor an x

x( x^2 -5x+4)

x( x-4) (x-1)

Set each term to zero

x=0  x-4 =0   x-1=0

x=0  x=4   x=1

X cannot equal 0,1,4

Answer:

1/20 gallon per cup

Step-by-step explanation:

Answer:

[tex]T_n = \left \{ {{T_1=2} \atop {T_n =-5T_{n-1}}} n>1 \right.[/tex]

Step-by-step explanation:

Given

Geometric sequence: 2, -10, 50, -250

Required

Recursive formula of the sequence

We start by naming each sequence

[tex]T_1 = 2\\T_2 = -10\\T_3 = 50\\T_4 = -250[/tex]

Represent each term in relation to the previous term (except T1)

[tex]T_1 = 2\\T_2 =2 * -5\\T_3 = -10 * -5\\T_4 = 50 * -5[/tex]

Recall that

[tex]T_1 = 2\\T_2 = -10\\T_3 = 50\\T_4 = -250[/tex]

So, at this point; we have to make substitutions

[tex]T_1 = 2\\T_2 =T_1 * -5\\T_3 = T_2 * -5\\T_4 = T_3 * -5[/tex]

Subtract 1 from each term on the right hand side

[tex]T_1 = 2\\T_2 =T_{2-1} * -5\\T_3 = T_{3-1} * -5\\T_4 = T_{4-1} * -5[/tex]

Replace each term greater than 1 by n

[tex]T_1 = 2\\T_n =T_{n-1} * -5\\T_n = T_{n-1} * -5\\T_n = T_{n-1} * -5[/tex]

Remove repetition

[tex]T_1 = 2\\T_n =T_{n-1} * -5[/tex]

[tex]T_1 = 2\\T_n =-5T_{n-1}[/tex]

Hence, the recursive formula is

[tex]T_n = \left \{ {{T_1=2} \atop {T_n =-5T_{n-1}}} n>1 \right.[/tex]

Answer:

1.5

45

Step-by-step explanation:

The probability for each answer is 1/4

Each question has an expected value of 1.5 points.

The expected score of the test is 30*1.5= 45 points

Answer:

The functions are not inverses because for each  ordered pair (x, y) for one function, there is no  corresponding ordered pair (y, x) for the other function.  

Step-by-step explanation:

In the figure attached, the tables are shown.

For example, in table A the pair (1, 1051.21) is present, but the pair (1051.21, 1) is not present in Table B. Therefore, the functions are not inverses.

Answer:

The answer is D

Step-by-step explanation:

Answer:

-2.5 and 2.5 compare to eachother on the number line because they are the exact same distance away from 0.

Step-by-step explanation:

0 is in the very middle and to get -2.5 you go to the left 2.5 paces but to get to +2.5 you go to the right 2.5 paces. Either way you have to move Exactly 2.5 paces either to the left or right depending on if you want a positive or negative.

Answer: false

Step-by-step explanation:

The exponents would have to have a different sign from each other (positive or negative), not the integer.

Answer:

7x4

28

Step-by-step explanation:

Answer:

The correct answer is D. 28 miles

Step-by-step explanation:

Because 7 miles in 2 hrs so in 8 hrs it will be 28 miles.

Answer:

313131 total books

Step By Step Explanation: We can use the equation 9.9%x=31000 and x represents the total number of books.

We could also convert this percent to a decimal by moving it two places to the left (0.99).

Nevertheless, we can divide both sides by 9.9% to find that the total number of books is 313131 books.

Step-by-step explanation:

Total professors = 10

Probability of chemistry professors = 2/6 = 1/3

Answer: The right answer for the question that is being asked and shown above is that: "Its length is twice the 3rd side." In a triangle, a segment is drawn joining the midpoint of two sides. The statement that is true about this segment is that Its length is twice the 3rd side

Step-by-step explanation:

Answer:    Its length is twice the 3rd side.

Answer:

610 cm²

Step-by-step explanation:

This is an irregular figure. We can split it up by the triangle and the rectangle on the bottom.

To find the area of the triangle, we must determine the base length. As we can see, the bottom of the arrow has the measure 15 cm, and you can see that the missing section in the base of the triangle is the same measure. Now we find the measure of the base by adding 15 + 8 + 8, which equals 31 cm.

Now we multiply and divide by 2 to find the area of the triangle:

20*31 * 1/2

= 310 cm²

Now, we find the area of the rectangle. We can see that its dimensions are 15 by 20. We can plug these values into the rectangle formula:

A = 15*20

A = 300 cm²

Now we add these values to find the total area:

310 cm² + 300 cm²

= 610 cm²

Answer:

7

Step-by-step explanation:

To find the answer, consult the worst case. The worst thing that can happen is Dorothy selects the 5 white balls first. Now, only red balls remain. Since Dorothy can only select red balls, the first 2 balls she will pick will be red. 5+2=7. Dorothy must select 7 balls to be sure she has at least 2 red balls.

The number of balls that Dorothy must select to be sure she has at least two red balls is 6.

To be sure Dorothy has at least two red balls, we need to consider the worst-case scenario where she selects all the white balls before selecting any red balls.

Since there are 5 red balls and 5 white balls, the probability of selecting a red ball on the first draw is 5/10 or 1/2. If Dorothy selects a white ball on the first draw, the probability of selecting a red ball on the second draw is 5/9 since there will be 5 red balls and 9 balls in total remaining in the bowl.

In the worst-case scenario, Dorothy selects all 5 white balls first, so she needs to draw at least 6 balls to be sure she has at least two red balls. This is because on the sixth draw, there will be 5 red balls and 4 white balls left in the bowl, ensuring that she gets at least two red balls.

Therefore, the number of balls Dorothy must select is at least 6 balls to be sure she has at least two red balls.

Read more about probability here: https://brainly.com/question/25870256

#SPJ2

Answer:

Equivalent expression:

a) -9

b) 3

c) 9

d) -3

Step-by-step explanation:

The Property of Additive Inverse states that the summation of a number and it's Additive inverse = 0

An Additive inverse of a positive integer is a negative integer and vice versa.

For example:

5 -5 = 0

The additive inverse of 5 = -5

For the question above, we are asked to use the additive inverses and their properties to find the equivalent expressions.

a) 6 -(-3)

Additive inverse = - 6 + (-3)

= -6 - 3 = - 9

b) -6 -3

Additive inverse = 6 +(-3)

= 6 - 3 = 3

c) 6 - 3

Additive inverse = 6 + 3

= 9

d) -6 - (-3)

Additive inverse = -6 + 3

= -3

Answer:

6 - (- 3)     arrow goes to 6 + 3

6 - 3         arrow goes to 6 +  (- 3)

- 6 - (- 3)  arrow goes to -6 + 3

- 6 - 3       arrow goes to - 6 + (- 3)

Answer:

Given

Step-by-step explanation:

Question 1)

Answer is c) 12.94 units

Because,

The sides will be √20,√20 and 4 units, so you add them

You get √20 through Pythagorean theorem √(2^2 + 4^2)

= 4.47

Question 2)

Answer:

3x^2 + 4y^0 +x^-1

Substitute the values,

3*(4)^2 + 4*(5)^0 + (4)^-1

3*16 + 4*1 * 1/4

( Any number raised to 0 is 1

4^-1 = 1/4^1 )

= 49

Answer:

Option C

49

Step-by-step explanation:

sides of triangle:

P=4+4.47*2=12.94

Option C is correct

================

x=4, y=5

3x²+4y⁰×x⁻¹=3×4²+4×5⁰×4⁻¹=48+1=49

Hey!!

(56-24)/8

=32/8

=4

The right answer is 4.

hope it helps

Good luck on your assignment

Answer:

C

Step-by-step explanation:

You take the fractions and turn them into mixed numbers. You do that by multiplying the whole number with the denominator and adding the numerator for the new numerator and the denominator stays the same. Now, you'd get -45/8 + 7/2. Change the denominator of the second one to 8 so you can add them, do this by multiplying the numerator and denominator by 4. Now you get -45/8 + 28/8. -45 +28 is -17 so your answer is -17/8. If you need it In mixed form, 8 goes into -17 2 times so you get -2 and the remainder 1/8 so -2 1/8.

Answer: 1 squealer apart if on a square grid

Step-by-step explanation:

Answer:

The distance is 1

Step-by-step explanation:

Since the x coordinates are the same, we only need to look at the y coordinates

-3 - -4

-3 +4

1

Solution,

Cost price(CP)=Rs 400

Selling price (SP)=RS 380

loss percentage=?

Now,

Loss percentage=CP-SP/CP*100%

=400-380/400*100%

=20/400*100%

=5%

Hope it helps..

Good luck on your assignment

Answer: B or 52 degrees...

Step-by-step explanation:

Congruent means to have identical properties and because triangle PQR is congruent to triangle STU, their angles are also congruent.

In the theorem AAA, angle P is congruent to S, angle Q is congruent to T and angle R is congruent to U.

The sum of the angles in a triangle is 180 degrees and so you would do 180-86-42 which would get you to 52 degrees and that is the answer.

Answer:

c

Step-by-step explanation:

Answer:

the United States 2020 population is estimated at 331,002,651 people at mid year according to UN data. the United States population is equivalent to 4.25% of the total world population.

Answer:

x22.1135647

Step-by-step explanation:

7,010,000,000 divide 317,000,000 =22.1135647

Answer:

x = 12

Step-by-step explanation:

If it is a perpendicular bisector, then the intercepting angles are always 90°.

If that is the case then we simply set the expression 7x + 6 equal to 90 and solve for x. We should get 12 as our answer.