Use the table to answer the question.

Consumption $2,000
Investment $1,000
Government Spending $1,000
Imports $500
Exports $600
The market value for each type of expenditure is given for a hypothetical country in the table above. Calculate the gross domestic product of this country.

$5,100

$4,000

$3,900

$4,100

Which of the following would be counted in the investment component of this year's GDP?(1 point)

The market value of all stock purchases for the year.

The market value of all finished goods purchased this year

The total quantity of savings account deposits made this year.

The market value of new factories built this year.

If a country is maintaining a healthy amount of growth, which of the following accurately describes the behavior of real GDP over time?(1 point)

Real GDP fluctuates but follows a horizontal trend line.

Real GDP fluctuates but follows a downward-sloping trend line.

Real GDP fluctuates but follows an upward-sloping trend line.

Real GDP does not fluctuate if growth is occurring.

Answer:

g(x) =  - 1/2 * (x^2 - 8x + 12)

Step-by-step explanation:

Given the information, you have provided.

Zeros: (2,0) and (6,0).

Maximum: (4,2) which is also your (h,k)

f(x) = - (x - 2)*(x - 6)

g(x) =  - 1/2 * (x^2 - 8x + 12)

I do not know how to explain this, but -1/2 makes the graph get (4,2) as the maximum.

The red graph is f(x) = - (x - 2)*(x - 6)

The blue graph is your answer g(x) =  - 1/2 * (x^2 - 8x + 12)

Answer:

The y-intercept is (0,-3

Step-by-step explanation:

Step-by-step explanation:

to find the y intercept you simply equate x to 0. therefore, the y intercept is -4.5

and its coordinate is:

(0, -4.5)

Answer:

128+8.50x+9.50y+10z

Answer:

[tex]19 sq.\ units[/tex]

Step-by-step explanation:

The best way to approach this is to figure out the area of the overall square, then remove any gaps.

The overall square is 5 by 5 so the area is:

[tex]A_t = s * s = 5 * 5 = 25\ sq.\ units[/tex]

There are 5 gaps in the shape of triangles, we will use the formula: [tex]A = \frac{bh}{2}[/tex], and subtract from the total.

1. (Top left)

[tex]A_1 = \frac{bh}{2} = \frac{2 * 1}{2} = 1[/tex]

2. (Top right)

[tex]A_2 = \frac{bh}{2} = \frac{2 * 1}{2} = 1[/tex]

3. (Bottom left)

[tex]A_3 = \frac{bh}{2} = \frac{2 * 1}{2} = 1[/tex]

4. (Bottom center)

[tex]A_4 = \frac{bh}{2} = \frac{2 * 1}{2} = 1[/tex]

5. (Bottom right)

[tex]A_3 = \frac{bh}{2} = \frac{2 * 2}{2} = 2[/tex]

The total triangle area is:

[tex]A = 1 + 1 + 1 + 1 + 2 = 6[/tex]

Subtract from total area to actual area:

[tex]A_s = A_t - A = 25 - 6 = 19 sq.\ units[/tex]

The statement that is true about the box plot is that More of the children were close to 12 years old than 6 years old.

A box plot is known to be a kind of plot that shows at least five-number that acts as the summation of all the set of a given data.

Conclusively, in the case above, the box plot is said to be showing the a lot of children whose age are close to 12 years old more than those who are 6 years old.

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Answer:

The answer is C

Step-by-step explanation:

The number of ways Dr. Orchid can arrange all 9 paintings is 362880 and the number of ways she can choose the paintings she wishes to display is 126.

Combination is the way of arrangement or the collection of items in the particular order. The order of this group of items does not matter in the combination type of arrangement.

Dr. Orchid has 9 paintings she wants to hang side by side on her walls.

Total number of paintings is 9. She wants to arrange them side by side. Thus, the number of ways, she can arrange all 9 paintings is,

[tex]9!=9\times8\times7\times6\times5\times4\times3\times2\times1\\9!=362880[/tex]

She wants to display 4 of the paintings. The number of arrangement of 4 painting from 9 paintings is,

[tex]^9C_4=\dfrac{9!}{(9-4)!4!}\\^9C_4=\dfrac{9\times8\times7\times6\times5!}{5!\times4\times3\times2\times1}\\^9C_4=126[/tex]

Thus, the number of ways Dr. Orchid can arrange all 9 paintings is 362880 and the number of ways she can choose the paintings she wishes to display is 126.

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Answer:

1

Step-by-step explanation:

Answer:

measure of angle EFG = 139°

measure of angle IFH = 49°

Since angles DEF and EFG are supplementary:

[tex]2x + 3 + 6x + 25 = 180[/tex]

[tex]8x + 28 = 180[/tex]

[tex]8x = 152[/tex]

[tex]x = 19[/tex]

So the measure of angle EFG is

6(19) + 25 = 114 + 25 = 139 degrees, and the measure of angle DFE is 41 degrees.

Angles DFE and GFH are vertical, so angle GFH measures 41 degrees.

Angles GFH and IFH are complementary, so angle IFH measures 49 degrees.

Answer:

426

Step-by-step explanation:

Subtract 247 from 673 to get 426

Answer:

426

Step-by-step explanation:

673

-247

_____

426

Answer:

Company A = 35 Company B = 45

Step-by-step explanation:

70x3/4 = 52.5

70x1/4 = 17.5

52.5 - 17.5 = 35

90x1/4 = 22.5

90x3/4 = 67.5

67.5 - 22.5 = 45

Hence, Company A = [tex]35[/tex] and  Company B = [tex]45[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

The cumulative frequency diagram shows information about the ages of employees in two companies. Work out the IQR for both companies and compare them.

So, For the Company A

[tex]70[/tex]×[tex](\frac{3}{4})\\[/tex]

[tex]=70[/tex]×[tex](0.75)\\[/tex]

[tex]=52.5[/tex]

[tex]70[/tex]×[tex]\frac{1}{4}\\[/tex]

[tex]= 70[/tex]×[tex](0.25)\\[/tex]

[tex]=17.5[/tex]

So,

[tex]52.5- 17.5 = 35[/tex]

So, Company A is [tex]35[/tex].

For Company B,

[tex]90[/tex]×[tex]0.25 = 22.5[/tex]

[tex]90[/tex]×[tex]\frac{3}{4} = 67.5[/tex]

Then,

[tex]67.5 - 22.5 = 45[/tex]

So Company B is [tex]45[/tex].

Hence, Company A = [tex]35[/tex] and  Company B = [tex]45[/tex].

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work it out you cheater lol

Answer:

12

Step-by-step explanation:

1/6  = 2/12     11/12 = 11/12

Answer:

12

Step-by-step explanation:

6 =3×2

12=3×2×2

Least common denominator = 3×2×2 = 12

Answer:

Step-by-step explanation:

In this question we have given an equation that is 3 ( q - 7 ) = 27 and we have asked to solve this equation that means to find the value of q .

Solution : -

[tex] \quad \: \longmapsto \: 3(q - 7) = 27[/tex]

Step 1 : Solving parenthesis :

[tex]\quad \: \longmapsto \:3q - 21 = 27[/tex]

Step 2 : Adding 21 on both sides :

[tex]\quad \: \longmapsto \:3q - \cancel{ 21} + \cancel{21} = 27 + 21[/tex]

On further calculations we get :

[tex]\quad \: \longmapsto \:3q = 48[/tex]

Step 3 : Dividing by 3 from both sides :

[tex]\quad \: \longmapsto \: \frac{ \cancel{3}q}{ \cancel{3}} = \cancel {\frac{48}{3} }[/tex]

On further calculations we get :

[tex]\quad \: \longmapsto \: \pink{\boxed{\frak{q = 16}}}[/tex]

Verifying : -

Now we are very our answer by substituting value of q in the given equation . So ,

Therefore, our solution is correct .

Answer:

[tex] \: [/tex]

Step-by-step explanation:

So here, a equation is given and we are asked to solve the equation.

[tex] \\ \dashrightarrow \sf \qquad3(q-7)=27 \\ \\ [/tex]

For this, we have to use the Distributive property, which is :

[tex]\\ \dashrightarrow \sf \qquad3q-21=27 \\ \\ [/tex]

Transposing the constant term (-21) to the right side we get :

[tex]\\ \dashrightarrow \sf \qquad3q=27 + 21 \\ \\ [/tex]

Adding the like terms :

[tex] \\ \dashrightarrow \sf \qquad3q=48 \\ \\ [/tex]

Now, We'll divide both sides by 3 :

[tex] \\ \dashrightarrow \sf \qquad \frac{3q}{3} = \frac{48}{3} \\ \\ [/tex]

[tex]\dashrightarrow \bf \qquad \: q=16 \\ \\ [/tex]

Answer: A

Step-by-step explanation:

Answer:

octagon; not regular

Step-by-step explanation:

This shape is an octagon because it has 8 sides (hence "oct") and it is irregular because not all the sides are of equal length and it does not look like a regular octagon..

Hope this helps!

Answer:

octagon; non regular

Step-by-step explanation:

because it have unequal sides and unequal angles.

Find the area of the circle ( top)

Area = Pi x r^2 = 3.14 x 8^2 = 3.14 x 64 = 200.96 square inches.

Volume = area of top x height

Volume = 200.96 x 25 = 5,024 in^3

Answer: C. 5,024 in^3

Answer:

C

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

y-y1=m(x-x1)

y+13=5(x+2)

The relationship between corresponding terms in the two patterns is B(n) = 2A(n) where the A(n) and B(n) is the nth terms of the pattern A and pattern B.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have Pattern A starts at 0 and has the rule "add 3"

Pattern A:

0, 3, 6, 9, 12.....and so on

Pattern B starts at 0 and has the rule "add 6."

Pattern B:

0, 6, 12, 18, 24, 30.... and so one

In the pattern A we can find the nth term:

First term = 0, common difference = 3

A(n) = 0 + (n-1)3 = 3(n-1)

Similarly in the pattern B we can find the nth term

First term = 0, common difference = 6

B(n) = 0 + (n-1)6 = 6(n-1)

The relation can be derived between the nth term of pattern A and pattern B as follows:

B(n) = 2A(n)

Thus, the relationship between corresponding terms in the two patterns is B(n) = 2A(n) where the A(n) and B(n) is the nth terms of the pattern A and pattern B.

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Answer:

18 days

Step-by-step explanation:

since 1/2 is half, u will multiple 9 by 2 to get 18 days !

Answer:

the answer is c

Step-by-step explanation:

-then+

Answer:

rotation and enlargements

Step-by-step explanation:

triangle XYZ is rotated to make triangle GHI and triangle GHI is enlarged by a scale factor of around 2.6? to make triangle MNO then triangle MNO is rotated to make triangle EDF

Answer: The three systems that would be reasonable

ΔXYZ to ΔGHI is a Rotation

ΔGHI to ΔMNO is an Enlargement

ΔMNO to ΔDEF is a Reflection

Step-by-step explanation:

Hey there!

5÷9v ≤ 45

5/9v ≤ 45

MUTLPLY 9/5 to BOTH SIDES
5/9v * 9/5 ≤ 45 * 9/5

CANCEL out: 5/9 * 9/5 because it give you 1

KEEP: 45 * 9/5 because it help solve for what is being compared to the v-value

NEW EQUATION: v ≤ 45 * 9/5

SIMPLIFY IT!
v ≤ 81

It is a CLOSED circle shaded to the LEFT

Therefore, your answer is: v ≤ 81

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

20 22 28 32 33 65 159

median =32

mean= 51.285714285

[tex]5^{-12} \cdot 32^{-3} \cdot 9^{-15}\\\\\\=\dfrac 1{5^{12}} \cdot \dfrac 1{32^3} \cdot \dfrac 1{9^{15}}\\\\\\=\dfrac 1{5^{12}} \cdot \dfrac 1{(2^5)^3}\cdot \dfrac 1{9^{15}}\\\\\\=\dfrac 1{5^{12} \cdot 2^{15} \cdot 9^{15} }\\\\\\=\dfrac 1{5^{12}\cdot 18^{15}}[/tex]

Answer:

[tex]\boxed{ \dfrac{1}{5^{12}} \times \dfrac{1}{32^{3}} \times \dfrac{1}{9^{15}}}[/tex]

Step-by-step explanation:

In this case, all the exponents are negative. To make them positive, take the term's reciprocal and change the exponents sign.

[tex]\implies 5^{-12} \times 32^{-3} \times 9^{-15}[/tex]

Changing the terms into it's reciprocal form:

[tex]\implies \dfrac{1}{5^{-12}} \times \dfrac{1}{32^{-3}} \times \dfrac{1}{9^{-15}}[/tex]

Changing the signs of the exponent:

[tex]\implies\boxed{ \dfrac{1}{5^{12}} \times \dfrac{1}{32^{3}} \times \dfrac{1}{9^{15}}}[/tex]

Answer:

125 degrees

Step-by-step explanation:

Assuming l and m parallel, 125= x

Answer:

7.11

Step-by-step explanation:

You will add all of those numbers and divide them by the amount of numbers you added. And I rounded the answer to 2 decimal places, seeing that it is a recurring decimal.

Answer: C

Step-by-step explanation:

Answer:

109.3 yard²

Step-by-step explanation:

Area of triangle = bh / 2

base is 23yd

height is 9.5yd

bh / 2 = 23 × 9.5 / 2

Area = 218.5 / 2

Area = 109.25 yd²; rounded to the nearest tenth is 109.3yd²