If nominal GDP is 2400 and the money supply is 400, what is the velocity?

Question:

What is the area of the SHADED sector of the circle?

Image of the circle is attached.

A) 400π units²

B) 20π units²

C) 180π units²

D) 40π units²

Answer:

C) 180π units²

Step-by-step explanation:

From thr circle, we can see that the given radius is 20 and the shaded part is 162°

The formula to calculate the area of the shaded sector of a circle is =

Area of the circle * fraction of the shaded part of the circle.

We know area of a circle = πr²

Therefore, area of the shaded sector =

[tex] = \pi r^2 * \frac{162}{360}[/tex]

[tex] = 20^2 * \pi * 0.45 [/tex]

[tex] = 400 * 0.45 * \pi [/tex]

[tex] = 180 \pi [/tex]

Area of the shaded sector of the circle is 180π units²

Answer:

D. Tossing a coin 50 times and recording the number of times it lands on heads

Step-by-step explanation:

It is best to analyze each option and see if it meets the conditions of a binomial experiment or not, the most important thing is that the binomial distribution can be used when the results of each experiment / trace in the process are yes / no or success / failure .

A. Drawing one marble from a bag containing 12 red and 8 blue marbles (replacing after each draw) until you have drawn 5 blue marbles

Does not meet the conditions, although there are two options, The tests are not independent of each other. The result of one test does affect the results of subsequent tests. because there is a replacement.

B.  Asking 25 students how tall they are and recording their answers

There are not two options

C.  Rolling a single number cube until you get a 5

There are not two options

D.   Tossing a coin 50 times and recording the number of times it lands on heads

Yes there are two options and they are events are independent of each other, therefore it is the correct answer.

Answer:

D. Tossing a coin 50 times and recording the number of times it lands on heads

Step-by-step explanation:

A P 3 X

Answer:55.7 would be the answer.

Step-by-step explanation:

Answer:

the answer is 55.7

Step-by-step explanation:

because i got it right on edge 2021

Answer:

x^2(4+x)

Step-by-step explanation:

you have to factor out x^2 off both equations since that's the only thing that you can divide off the equations

Answer:

1. Median

2. Altitude

Step-by-step explanation:

Medians- Bisect the side (Split the side into two equal parts)

Altitude- Makes a right angle

1. Splits the side into two equal parts. Anwser: Median

2. Makes a right angle Answer: altitude

Answer:

First box = I would use the slope formula. The slope formula is y2 - y1/x2 - x1.

Second box horizontally = the method I would use is using the slope formula

Second row of boxes = I would graph it using the computer.

Answer:

After 15 years the population will be 7,625

Step-by-step explanation:

3.5% of 5,000 = 175

175 x 15 = 2625

2625 + 5,000 = 7625

The population after 15 years should be  8,376

Since the population is 5,000 and it grows 3.5 years and the time period is 15 years

So, the population after 15 years is

[tex]= 5,000 \times (1 + 3.5\%)^{15}\\\\[/tex]

= 8,376

Therefore, we can conclude that The population after 15 years should be  8,376

Learn more about population here: https://brainly.com/question/24309536

Answer:

1. x^8

2.1

3.x^15

4.x^10

5.x^6

6.x^5y^5

7.x^-6

8.x^9

9.x^14

10.x^5

11.x^-1

12.x^11

Step-by-step explanation:

Answer:

B=-5

C=3

Step-by-step explanation:

x^4-3x^3-7x^2+7x+2= x^4-3x^3-10x^2+3x^2+7x+2

=x^4-3x^3-10x^2+ 3x^2+7x+2

=x^2(x^2-3x-10)+ 3x^2+7x+2

=x^2(x^2+2x-5x-10)+ 3x^2+6x+x+2

=x^2(x(x+2)-5(x+2))+ 3x(x+2)+1(x+2)

=(x+2)(x^2(x-5)+(3x+1))

=(x+2)(x^3-5x^2+3x+1)

Answer:

B=-5

C=3

Step-by-step explanation:

Answer:

 [tex]\frac{- 39}{70}[/tex]

Step-by-step explanation:

{[tex]\frac{3}{7}[/tex] x [tex]\frac{1}{10}\\[/tex]} - { [tex]\frac{3}{7}[/tex] }x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1

We follow the BODMAS rule

=  [tex]\frac{3}{70}[/tex] -  [tex]\frac{3}{7}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1

=   [tex]\frac{3}{70}[/tex] - [tex]\frac{3}{7\\}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1

=   [tex]\frac{3}{70}[/tex] - [tex]\frac{3}{7\\}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex]

=  [tex]\frac{3}{70}[/tex] - [tex]\frac{6}{35}[/tex] + [tex]\frac{3}{7}[/tex]

=  [tex]\frac{3}{70}[/tex] - [tex]\frac{6}{35}[/tex] + [tex]\frac{3*5}{7*5}[/tex]        LCM= 35

=  [tex]\frac{3}{70}[/tex] - [tex]\frac{6 + 15}{35}[/tex]

=   [tex]\frac{3}{70}[/tex] - [tex]\frac{21}{35}[/tex]

=  [tex]\frac{3}{70}[/tex] - [tex]\frac{21*2}{35*2}[/tex]             LCM= 70

=   [tex]\frac{3 - 42}{70}[/tex]

=   [tex]\frac{- 39}{70}[/tex]

Answer:

180 teachers

Step-by-step explanation:

In this case, we know the value corresponding to 45% of female teachers which is 81, therefore, to find the total it would be:

% teachers    #teachers

       45                 81

       100                 x

we apply the rule of three:

x = 100 * 81/45

x = 180

which means that there are a total of 180 teachers at Russell High

Answer:

5cm³

Step-by-step explanation:

Volume of rectangular prism formula= L×W×H

1/2×4×5/2=

2×5/2=

10/2=

5cm³

Corrected Question

Garth buys 24 kilograms of candy. He then repacks the candy into small bags of 3/4 kilogram each. How many bags does he pack?

Answer:

C. 32 bags

Step-by-step explanation:

Total Weight of Bag bought =24 kilograms

Since Garth wants to repack the candy into small bags of 3/4 kg, we simply divide 24 by 3/4 to obtain the number of small bags.

[tex]24 \div \dfrac{3}{4}= 24 X \dfrac{4}{3}\\=32[/tex]

There will be 32 small bags of 3/4 kg.

The correct option is C.

Answer:

$11.10 per gallon.

Step-by-step explanation:

There are 4 quarts in a gallon so the cost of a gallon of oil currently is 1.85×4=$7.40

If the gallon price of oil goes up 50% then our answer is: 7.40×[tex]\frac{3}{2}[/tex]=[tex]\frac{22.2}{2}[/tex]=11.1

The price of oil in March will be $11.10 per gallon.

Answer: 50% of 1.85= 11.10

Step-by-step explanation:

11.10 is the correct answer

Answer:

+19

Step-by-step explanation:

8-(-11)= 8+11

8-(-11)=+19

Answer:

19

Step-by-step explanation:

8 - ( -11) =

8 + 11 =

19

The two negatives combine to make a positive.

Answer:

7^8

Step-by-step explanation:

(7^2)^4

We know a^b^c = a^(b*c)

(7^2)^4 = 7^(2*4)

           = 7^(8)

Answer:

295.2 cm^3

Step-by-step explanation:

Volume of a prism = length * width * height.

Here the volume = 4.8 * 4.1 * 15

= 295.2 cm^3.

The volume of rectangular prism is 295.2[tex]cm^{3}[/tex]

A rectangular prism is a polyhedron with two congruent and parallel bases. It is also called a cuboid. A rectangular prism has six faces, and all the faces are in a rectangle shape and have twelve edges. Because of its cross-section along the length, it is said to be a prism.

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

According to question

Length of rectangular prism = 4.8cm

Breath of rectangular prism = 4.1cm

Height of rectangular prism = 15cm

Volume of rectangular prism = Length * Breath * height

= 4.8*4.1*15

= 295.2[tex]cm^{3}[/tex]

Hence, Volume of rectangular prism is 295.2[tex]cm^{3}[/tex]

To know more about rectangular prism here :

https://brainly.com/question/21308855

# SPJ2

Answer:

A = 2x^2 + 2x - 12

Step-by-step explanation:

A = (2x-4)(x+3)

(use FOIL to solve)

A = 2x^2 + 2x - 12

Answer:

A relation is a set of ordered pairs. The set of all first components of the ordered pairs is called the domain of the relation and the set of all second components of the ordered pairs is called the range of the relation.

Step-by-step explanation:

Answer:

30.5 and 46

Step-by-step explanation:

The minimum is 30.5 and the maximum is 46

Answer:

Step-by-step explanation:

As you can observe in the image attached, the preimage RST is a tringle "pointing" to the negaitve side of the vertical axis (taking point S as reference).

The transformed triangle R'S'T' is pointing to the diagonal of the first quadrant, with a 45°, approximately.

The rotation needed in such transformation would be 90° + 45° = 135°, becasue from -y to +x there're 90°, then we rotate 45° to reach the position of R'S'T'.

Therefore, the right asnwer is a 135° rotation.

Answer:

a 135° rotation.

Step-by-step explanation:

As you can observe in the image attached, the preimage RST is a tringle "pointing" to the negaitve side of the vertical axis (taking point S as reference).

The transformed triangle R'S'T' is pointing to the diagonal of the first quadrant, with a 45°, approximately.

The rotation needed in such transformation would be 90° + 45° = 135°, becasue from -y to +x there're 90°, then we rotate 45° to reach the position of R'S'T'.

Therefore, the right asnwer is a 135° rotation.

Answer:

whar state ment

Step-by-step explanation:

The answer is 5.25

First, you need to list all of the numbers from least to greatest. Then, you remove the sides (first 3.9 and 6.2 being the least and the greatest numbers). You then have 4.9 and 5.6 so you need to add them together (getting 10.6) and divide your answer by 2 (getting 5.25).

Hope I helped and good luck :)

Answer:u tell me doc

Step-by-step explanation:

Answer:

$48

Step-by-step explanation:

The rectangular wall is 6.5 m long and 3 m high and needs two coats of paint. This means the wall will be painted twice.

First, we find the area of the wall. The area of a rectangle is given as:

A = L * B

where L = length and B = breadth

Therefore, the area of the wall is:

[tex]A = 6.5 * 3 = 19.5 m^2[/tex]

One litre of paint covers an area of [tex]10m^2[/tex].

The paint can only be purchased in a full number of litres.

Therefore, let us find how many litres it will take to paint the wall once:

[tex]10m^2[/tex] = 1 litre

[tex]19.5 m^2[/tex] = 19.5 / 10 = 1.95 litres

Since the paint can only be bought in full number of litres, we approximate 1.95 litres to whole number, that is 2 litres.

2 litres is needed to paint the wall once.

Therefore, we need double of that to paint the wall twice, that is:

2 * 2 = 4 litres

Paint costs $12 per litre, therefore, the price for 4 litres is:

4 * 12 = $48

The cost of paint for the wall is $48.

33% profit

ratio: 15:45

That can be simplified into 1:3

The price is increased by $15, which is 1/3 of the original $45.

1/3 as a percentage is about 33%.

Answer:

40 mph

Step-by-step explanation:

To find the maximum speed at which the car can travel, as the distance it requires to stop is 168 feet, we just need to use the value of d = 168 in the equation, and then find the value of s:

168 = 0.05s^2 + 2.2s

0.05s^2 + 2.2s - 168 = 0

Using Bhaskara's formula: we have:

Delta = 2.2^2 + 4*0.05*168 = 38.44

sqrt(Delta) = 6.2

s1 = (-2.2 + 6.2)/0.1 = 40 mph

s2 = (-2.2 - 6.2)/0.1 = -84 mph (a negative value does not make sense as 's' is the speed of the car)

So the maximum speed of the car is 40 mph