Hadi earned $358.00 from job this week. Next week, he expects his pay to be 17% less than it was this week. How much money should Hadi expect to be paid next week?

Answers

Answer 1

Answer: $297.14

Step-by-step explanation:

Let n be his pay,

X = n - n(17%)

X = n - n(0.17)

X = (358) - 358(0.17)

X = 358 - 60.86

X = $297.14


Related Questions

Micah’s bicycle wheel has a radius of 14 inches. About how far will micah’s bicycle travel each time his wheel turns one full rotation?

Answers

Answer:

D. 88 inches

Step-by-step explanation:

to get the circumference of a circle the equation is C=2πr

C=87.96

Final answer:

Every time Micah's wheel turns one full rotation, the bicycle would travel approximately 88 inches.

Explanation:

The student's question relates to the travel distance of a bicycle wheel in one full rotation.

The distance traveled by a wheel in one rotation is equal to the circumference of the wheel, which is calculated by the formula:

Circumference = 2π × radius.

Given Micah's bicycle wheel has a radius of 14 inches, the calculation would be:

Circumference = 2 × π × 14 inches

Circumference = 2 × 3.1416 × 14 inches

Circumference ≈ 88 inches

Therefore, every full rotation of Micah’s 14-inch-radius bicycle wheel will result in the bicycle traveling approximately 88 inches, which is the circumference of the wheel.

Which rigid transformation(s) can map TriangleABC onto TriangleDEC?

The triangles are congruent by the SSS congruence theorem.


Triangles A B C and D E C are connected at point C. Triangle A B C is reflected across B C and then is rotated about point C to form triangle D E C.

Answers

Answer:

A  - reflection then rotation

Q2: The student council at Hillsdale High School is making T-shirts to sell for a fundraiser, at a price of $ 10 10 each. The costs, meanwhile, are $ 9 9 per shirt, plus a one-time setup fee of $ 79 79 . ​Selling a certain number of shirts will allow the student council to cover their costs. ​What will the costs be? How many shirts must be sold?

Answers

Answer:

a.The cost of making those shirts will be $790

b. The number of shirts that must be sold to recover this cost = 79 shirts.

Step-by-step explanation:

Please kindly check the attached files for explanation.

.
Each CD costs $5, and you have $40 to spend on CDs. Write
an inequality for the possible number of CDs you could buy,
then find the maximum number of CDs you can buy.
_ CDs
|
PETE
BER
EFT
|
EESTER
|
ENERAL
|
|
| Enter the answer
I
|
|

Answers

Answer:

x ≤ 8

Step-by-step explanation:

"Each" = variable

5 dollar each => 5x

You can spend 40 exactly or less, exactly => equal to

5x ≤ 40

5x/5 ≤ 40/5 (Divide both sides by 5)

x ≤ 5

Given this data, what is the range of the average word
lengths?
Student
1
2
3
4
5
6
7
8
Mean Word Length
7.1
4.5
6.9
5.2
5.0
4.7
6.1
4.5
Is the variation between sample means large or small?

Answers

Answer:2.6

Small

Step-by-step explanation:

Answer:

2.6 and the variation is small

Step-by-step explanation:

u welcome

Select the expression that is equivalent to: 3 root 1089

Answers

Answer:

[tex]3\sqrt{1089}=3\sqrt{3^2(11)^2}[/tex]

Step-by-step explanation:

Given : Expression [tex]3\sqrt{1089}[/tex]

To find : Select the expression that is equivalent to expression ?

Solution :

Re-write the expression as,

[tex]3\sqrt{1089}=3\sqrt{3\times 3\times 11\times 11}[/tex]

[tex]3\sqrt{1089}=3\sqrt{3^2\times 11^2}[/tex]

[tex]3\sqrt{1089}=3\sqrt{(3\times 11)^2}[/tex]

[tex]3\sqrt{1089}=3\sqrt{(33)^2}[/tex]

[tex]3\sqrt{1089}=3\times 33[/tex]

[tex]3\sqrt{1089}=99[/tex]

The above are the possible equivalent expressions.

Answer:

A

Step-by-step explanation:

In ΔFGH, the measure of ∠H=90° GF = 37 HG = 12 and FH = 35.
What ratio represents the sine of ∠F?

Answers

Answer:

[tex]\sin F =\dfrac{12}{37}[/tex]  

Step-by-step explanation:

We are given the following in the question:

GF = 37 units

HG = 12 units

FH = 35 units

We have to find the ratio that represents sine of ∠F.

Formula:

[tex]\sin F = \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\\sin F = \dfrac{HG}{GF}=\dfrac{12}{37}[/tex]

is the required ratio of sine of ∠F.

The attached image shows the triangle.

Final answer:

In the right triangle ΔFGH, the sine of ∠F is represented by the ratio of the opposite side (HG) to the hypotenuse (FH), so the sine of ∠F is 12/35.

Explanation:

In the right triangle ΔFGH, the sine of an angle is defined as the ratio of the length of the opposite side to the length of the hypotenuse. Considering ∠F, the side opposite to it would be HG and the hypotenuse in this scenario would be FH.

Given that HG = 12 and the length of the hypotenuse FH = 35, then the sine of ∠F (sin F) would be represented by the ratio 12/35.

Therefore, the sine of ∠F in the triangle ΔFGH is 12/35.

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What is the mean of these numbers? 2,2,8

Answers

Answer:

4

Step-by-step explanation:

(2+2+8)/3

brainliest please

Use Vieta's Theorem to solve the problems.

The difference of the two solutions of x^2+19x+c=0 is 15. Find the solutions.

Answers

Answer:

The answer is -2, -17

Step-by-step explanation:

You write a system of equations

[tex]x_{1} +x_{2}=-19\\x_{1}-x_{2}=15[/tex]

Then you solve:

-2, -17

The answer is -2, -17.the solutions.

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.

here, we have,

The difference of the two solutions of x^2+19x+c=0 is 15.

now,

You write a system of equations

x_1+x_2= -19

x_1-x_2=15

Then you solve:

-2, -17

hence, The answer is -2, -17.the solutions.

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Neil saves money at the end of each week. The function m(x) = 25x + 50 models the amount of money he has saved after x weeks. What

is the most appropriate domain for the function?

A. all non-negative integers

B. all positive real numbers

C. all real numbers

D. all integers

Answers

Answer:

b

Step-by-step explanation:

The answer would be B!

Please help will give brainlist

Answers

Answer:

The answer is 236.52.

Step-by-step explanation:

First you want to figure out the radius of the semi circle so you take the length of 12 and divide it by 2. Then you want to use the formula for area of a circle 3.14 times radius squared and divide that by 2 and add 12x15 to get your answer.

Riley is going snowboarding over the holiday break. To go snowboarding you have a one time fee of $75 to rent the snowboard equipment, plus a fee of $5 per ride on the ski lift to get up and down the mountain. Write an equation that could be used to find the total amount it would cost to go snowboarding.

Answers

Answer:

y = 5x + 75

Step-by-step explanation:

"One time" = no change = constant

"per" = varies per person = variable

It is 5 dollars per ride, 5 dollars per x, 5x.

y = 5x + 75

Complete the steps to find the area of the trapezoid.

Area of rectangle = _ square units

Area of triangle 1 = square units

Area of triangle 2 = _ square units

Area of triangle 3 = _ square units

Area of trapezoid = _ square units

Answers

Given:

In the given diagram

Each small box along X axis = 2 unit

Each small Box along Y axis = 2 unit

For rectangle:

Length = 16 unit

Width = 16 unit

For triangle 1

Base = 8 unit

Height = 6 unit

For triangle 2

Base = 8 unit

Height = 4 unit

For triangle 3

Base = 16 unit

Height = 12 unit

Formula

Area of the trapezoid is

[tex]A = R -T_{1} -T_{2} -T_{3}[/tex]

Where, [tex]A[/tex] be the area of the trapezoid

[tex]R[/tex] be the area of the rectangle

[tex]T_{1} ,T_{2} ,T_{3}[/tex] be the area of the triangle 1, 2 and 3 respectively.

[tex]R = lb[/tex] where, l be length and b the width

[tex]T_{1} = \frac{1}{2} bh[/tex], where, b be the base and h be the height

Now,

Taking, l = 16 and b = 16 we get,

[tex]R = (16)(16)[/tex] = 256 sq unit

For Triangle 1

Taking, b = 8 and h = 6 we get,

[tex]T_{1} = \frac{1}{2}(8)(6)[/tex] sq unit

[tex]T_{1} = 24[/tex] sq unit

For Triangle 2

Taking, b = 8 and h = 4 we get,

[tex]T_{2} = \frac{1}{2}(8)(4)[/tex] sq unit

[tex]T_{2} = 16[/tex] sq unit

For Triangle 3

Taking, b = 16 and h = 12 we get,

[tex]T_{3} = \frac{1}{2}(16)(12)[/tex] sq unit

[tex]T_{3} = 96[/tex] sq unit

Therefore,

The area of the trapezoid is = 256-24-16-96 sq unit = 120 sq unit

Hence,

Area of rectangle =256 square units

Area of triangle 1 = 24 square units

Area of triangle 2 = 16 square units

Area of triangle 3 = 96 square units

Area of trapezoid = 120 square units

Answer:

Area of rectangle =256 square units

Area of triangle 1 = 24 square units

Area of triangle 2 = 16 square units

Area of triangle 3 = 96 square units

Area of trapezoid = 120 square units

Step-by-step explanation:

The sum of 3 times a number and 4 is no more than 10 and no less than -8.

Answers

Answer:

Equation  -8 ≤ 3n+4 ≤ 10

Solution -4 ≤ n ≤ 2

Step-by-step explanation:

sum of 3 times a number and 4

3n+4

is no more than 10  

3n+4 ≤ 10

and no less than -8

-8 ≤ 3n+4 ≤ 10

To solve

Subtract 4 from all sides

-8-4 ≤ 3n+4-4 ≤ 10-4

-12 ≤ 3n ≤ 6

Divide all sides by 3

-12/3 ≤ 3n/3 ≤ 6/3

-4 ≤ n ≤ 2

Lilly deposited $3000 into a Roth IRA that grew to $6000 at her retirement. If
Lindsay is currently in the 10% tax bracket and is retired, how much tax will
she have to pay when she withdraws the entire $6000?
O
A. $300
O
O
O
B. $0
c. $600
D. $900

Answers

The answer is $0

She can withdraw all $6000 and not have to pay anything.

Lilly will not have to pay any taxes when she withdraws the entire $6000.

Option B is the correct answer.

What is a percentage?

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying it by 100.

The percentage change is also calculated using the same method.

In percentage change, we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Since Lilly deposited $3000 into a Roth IRA, that means she had already paid taxes on that money before depositing it.

Therefore, when she withdraws the entire $6000, she will not have to pay any taxes on the original contribution of $3000.

Now,

For the remaining $3000 (the growth), she will also not have to pay any taxes since Roth IRA withdrawals of earnings are tax-free if the account holder is over 59½ and the account has been open for at least five years.

Therefore,

Lilly will not have to pay any taxes when she withdraws the entire $6000.

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Phil collected 60 eggs and sold 44 of them to the local grocer. Phil wrote down that he sold 0.44 of the eggs he
collected. Did Phil write the decimal correctly? Explain.

Answers

Answer:

Yes

Step-by-step explanation:

Answer:

No, Phil did not write the decimal correctly. If Phil started out with 100 eggs and sold 44 then the decimal would be 0.44, but he only had 60, so the decimal would be 0.73

Step-by-step explanation:

enable to find the decimal of 2 numbers, you must divide usually the smaller number by the larger number anable to get the percentage. so, in this question, you divide 44 by 60 and therefore getting your answer, Phil sold 0.73 of his eggs.

The wind speed s (in miles per hour) is related to the distance (in miles) the tornado travels by the equation s = 93log d + 65. On March 18, 1925, a tornado whose wind speed was about 280 miles per hour struck the Midwest. How far did the tornado travel?

Answers

Answer:

The distance the tornado traveled was approximately 205 miles.

Step-by-step explanation:

The equation representing the relationship between the wind speed (in miles per hour) and the distance the tornado travels (in miles) is:

[tex]s=93\log d+65[/tex]

Compute the value of d for s = 280 as follows:

        [tex]s=93\log d+65[/tex]

     [tex]280=93\log d+65[/tex]

[tex]93\log d=280-65\\93\log d=215[/tex]

   [tex]\log d=2.312\\[/tex]

        [tex]d=10^{2.312}\\d=205.035\\d\approx 205[/tex]

Thus, the distance the tornado traveled was approximately 205 miles.

Do either of these display exponential behavior? Please help!

Answers

Answer:

no. 7 does

Step-by-step explanation:

brainlest please

x increases by three each time but y decreases less each time

If there are 30 chopsticks in a drawer with 47 pieces of silverware, what is the ratio of chopsticks to silverware?

Answers

Answer: the ratio is 30:47

Step-by-step explanation: this is the most you can simplify this number so it stays like this

hope this helps mark me brainliest if it helped

Answer:

Ratios can be written like so:

a to b

a : b

a/b

There are 30 chopsticks and 47 silverware, and we want the ratio of chopsticks to silverware, so we can write it as

30 to 47

30:47

30/47



PLEASE HURRYYYY!!!!!!!!!!
What is the total area of the following composite figure?

54.28 ft2
60.56 ft2
73.12 ft2
98.24 ft2

Answers

Answer:

A. 54.28 ft^2

Step-by-step explanation:

Area of the parallelogram = 48 ft^2

Area of the semicircles = 6.28 ft^2

A = π r^2

A = 3.14 (2)

A = 3.14 (4)

A = 12.56

12.56 ÷ 2 = 6.28 ft^2

48 + 6.28 = 54.28 ft^2

Answer:

54.28 ft^2

Step-by-step explanation:

Could you help me solve this problem ASAP :D

Answers

Answer:

B) 1/4x+1/2=1/3x

Hope this helps!

Which answer includes the intervals that contain the solution to the inequality?

Answers

The correct option is D (-∞,-3)∪(-1,1)

Step-by-step explanation:

Given,

[tex]\frac{x^{2}-1 }{3x+9}[/tex] ≤ 0

To find the solution.

The solution could be found if

[tex]x^{2} -1[/tex] ≤ 0           and

3x+9 ≠ 0 [if the denominator is 0, it gives ∞ as solution]

Now,

[tex]x^{2} -1[/tex] ≤ 0

or, (x+1)(x-1) ≤0

or, x ≤1 and x≤-1

Both of the above condition holds is x≤1

Again,

3x+9≠0

or, x≠-3

All the conditions gold for the values (-∞,-3)∪(-1,1)

Hence the correct option is D.

how many dollars will you earn if you mow the lawn 10 times

Answers

Considering you're getting paid $20 per lawn you could be making $200 but it all depends how much you charge per lawn.

How is the process of finding the surface area of a rectangular prism the same as finding the surface area of a triangular prism? How is it different?



ANSWER:
For both prisms, you can draw a net to help you find the areas of the faces. Add the areas together to find the surface area. A rectangular prism has only rectangular faces, and you use the formula bh to find area. A triangular prism has triangular and rectangular faces, and you use the area formula bh for rectangular faces and the area formula 1/2bh for triangular faces.

Answers

Final answer:

The process of finding the surface area of a rectangular prism is similar to finding the surface area of a triangular prism. Both involve drawing a net and adding the areas of the faces. However, the formulas used are different because the shapes have different types of faces.

Explanation:

For both prisms, you can draw a net to help you find the areas of the faces. Add the areas together to find the surface area. A rectangular prism has only rectangular faces, and you use the formula bh to find area. A triangular prism has triangular and rectangular faces, and you use the area formula bh for rectangular faces and the area formula 1/2bh for triangular faces.

If you are given the two sides that are not the hypotenuse, which trig function should
you use?
A) tangent
B) sine
C) cosine
D) cotangent

Answers

Answer:

A

Step-by-step explanation:

Tangent = opposite/adjacent

The trigonometric function that can be used when given 2 sides that are not the hypotenuse is tangent.

The sides of a right angle triangle are as follows:

HypotenuseAdjacent sideOpposite side

The simplest trigonometric ratio we can use to solve for the angles of a right angle triangle are as follows:

sin∅ = opposite / hypotenusecos∅ = adjacent / hypotenusetan∅ = opposite  / adjacent

Therefore, the trigonometric function one can use to find the angle of a right angle triangle when given 2 sides apart from hypotenuse is tangent

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You need to buy enough sand to fill a sandbox to the top. The sandbox is modeled by the right rectangular prism in the diagram. How much sand do you need to buy?

Answers

The answer is 80 the formula is length times width time height

Katie has to drive 15 miles east and 36 miles north to get to her aunt's house. What is the direct distance to her aunt's house?

Answers

Answer: 39 miles

Step-by-step explanation:

Hi, since the travelling forms a right triangle, (see attachment) we have to apply the Pythagorean Theorem formula.

a^2 +b ^2 =c ^2

Assuming a and b are the distances driven, and c the direct direction formed (hypotenuse)

15^2 +36 ^2 =c ^2

225+1,296 =c ^2

1,521 =c ^2

√1,521= c

c= 39 miles

Feel free to ask for more if needed or if you did not understand something.

Answer:

39 miles

Step-by-step explanation:

A chain lying on the ground is 19 meters long and its mass is 84 kilograms. The chain is threaded through a pulley, which is fixed to the ground, and pulled directly up so that it forms the shape of an L. How much work is required to raise one end of the chain to a height of 7 meters? Use that the acceleration due to gravity is 9.8 m/s^2. You may assume that the chain slides effortlessly and without friction along the ground as its end is lifted.

Answers

Answer:

Step-by-step explanation:

Given that, the length of the chain is

L= 19m

And the mass of the chain is

M= 84kg

Work to raise the chains to a height of

H = 7m

Acceleration due to gravity

g = 9.8m/s²

Since the chain is 19m long and it has a mass of 84kg

Then, it mass/ length is 84/19

M/L = 4.42kg/m

So, it weight / length is mass / length × gravity

W/L = M/L × g

W/L = 4.42 × 9.8

W/L = 43.33 N/m

So, workdone can be calculated using

Work = ∫F∆x

Work = ∫(W/L)•xdx.

Work = ∫43.33x dx. From x = 0 to 7

Work = 43.33 ∫x dx.

Work = 43.33 x²/2. From x = 0 to 7

Work = 21.66 [x²] from x = 0 to 7

Work = 21.66 ( 7²-0²)

Work = 21.66 × 49

Work = 1061.5 Joule

The workdone to lift the chain to 7m is 1061.5 J

"When work is done to lift the chain to 7m is 1061.5 J. To understand the calculations, check below".

Calculation of Acceleration due to Gravity

Given that, the length of the chain as per the question is:

L= 19m

And also the mass of the chain is

Then M= 84kg

Now Work to raise the chains to a height of

After that H = 7m

Acceleration due to gravity

Then g = 9.8m/s²

Since When the chain is 19m long and it has a mass of 84kg

Then, it mass/ length is 84/19

M/L = [tex]4.42kg/m[/tex]

After that, it weight / length is mass / length × gravity

W/L = M/L × g

W/L = 4.42 × 9.8

W/L = 43.33 N/m

Then, work done can be calculated using

Work is = ∫F∆x

Work is = ∫(W/L)•xdx.

Then Work = ∫43.33x dx. From x = 0 to 7

After that Work = 43.33 ∫x dx.

Now Work = 43.33 x²/2. From x = 0 to 7

Work is = 21.66 [x²] from x = 0 to 7

Work is = 21.66 ( 7²-0²)

Then Work = 21.66 × 49

Hence Work = 1061.5 Joule

Therefore, The work done to lift the chain to 7m is 1061.5 J

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A train station employee collects data on 160 incoming trains to the station. He notices that 18 of the 90 incoming trains on line A arrive late, and 14 of the 70 incoming trains on line B arrive late.


What is the probability that a train on line A arrives on time? What is the probability that any train arrives on time?

Answers

Answer:

Probability of a train on line A arriving on time: 80%

Probability of any train arriving on time: 96%

Step-by-step explanation:

If 18 of the 90 incoming trains on line A arrive late, we have that 90 - 18 = 72 trains of the 90 arrive on time, so the probability of a train on line A arriving on time is:

P(A) = 72/90 = 0.8 = 80%

on line B, we have that 70 - 14 = 56 trains of the 70 arrived in time, so the probability of a train from line B arriving on time is:

P(B) = 56/70 = 0.8 = 80%

To find the probability of any train arriving on time, we can use this formula:

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.8 + 0.8 - 0.8*0.8

P(A or B) = 1.6 - 0.64 = 0.96 = 96%

Final answer:

The probability that a train on line A arrives on time is 0.8 or 80%. The probability that any train arrives on time, considering both line A and line B, is also 0.8 or 80%.

Explanation:

To calculate the probability that a train on line A arrives on time, we subtract the number of trains that arrive late from the total number of trains on line A:

Probability = (Total trains on line A - Trains on line A that are late) / Total trains on line A

Probability = (90 - 18) / 90

Probability = 72 / 90

Probability = 0.8 or 80%

To calculate the probability that any train arrives on time at the station, we need to consider the total number of trains arriving on time for both lines:

Total trains on time = (Total trains on line A - Trains late on line A) + (Total trains on line B - Trains late on line B)

Total trains on time = (90 - 18) + (70 - 14) = 72 + 56 = 128

Then, we divide the number of trains on time by the total number of trains:

Probability = Total trains on time / Total trains

Probability = 128 / (90 + 70)

Probability = 128 / 160

Probability = 0.8 or 80%

Which of these myths do you think is probably believed by more people?

SELECT AN ANSWER

Europeans "discovered" new parts of the world during the Age of Discovery.


European explorers, like Christopher Columbus, were the first to cross the great oceans of the world.

Answers

Answer:

European explorers, like Christopher Columbus, were the first to cross the great oceans of the world.

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Which is the best example of an organism's niche shown inthe picture?OThe environment contains several of the same speciesof coralThe shallow area of the ocean meets the needs of thecoral and the fishThe ocean has fish and coral that live in the same area.The coral take in food from the water and provideshem for the fish Vocabulary descriptive statistics I need help please?!! A box contains four equal sized cards labeled 1, 3,5, and 7. Tim will select one card from the bow. What is the probability that Tim will select a card labeled 4? Jasper and Gemma are going to play on a teeter totter. Gemma gets on first. When Jasper gets on, Gemma moves into the air, but she does not move to the top. Which statement could correctly explain the forces acting on the teeter totter? assume that Jasper and Gemma are the same distance from one another. The fall of Fort Sumter in April, 1861, did not produce the Civil War crisis. For many months, the gigantic struggle then imminent had been painfully discernible to far-seeing men. In 1858, Lincoln had forewarned the country in his "House Divided" speech. As early as the beginning of the year 1860 the Union had been plainly in jeopardy. Early in February of that momentous year, Jefferson Davis, on behalf of the South, had introduced his famous resolutions in the Senate of the United States. This document was the ultimatum of the dissatisfied slave-holding commonwealths. It demanded that Congress should protect slavery throughout the domain of the United States. The territories, it declared, were the common property of the states of the Union and hence open to the citizens of all states with all their personal possessions. The Northern states, furthermore, were no longer to interfere with the working of the Fugitive Slave Act. They must repeal their Personal Liberty laws and respect the Dred Scott Decision of the Federal Supreme Court. Neither in their own legislatures nor in Congress should they trespass upon the right of the South to regulate slavery as it best saw fit. These resolutions, demanding in effect that slavery be thus safeguardedalmost to the extent of introducing it into the free statesreally foreshadowed the Democratic platform of 1860 which led to the great split in that party, the victory of the Republicans under Lincoln, the subsequent secession of the more radical southern states, and finally the Civil War, for it was inevitable that the North, when once aroused, would bitterly resent such pro-slavery demands. And this great crisis was only the bursting into flame of many smaller fires that had long been smoldering. For generations the two sections had been drifting apart. Since the middle of the seventeenth century, Mason and Dixon's line had been a line of real division separating two inherently distinct portions of the country. Which of the following correctly summarizes the main point of the first paragraph?A. The Civil War had been developing for a long time before the fall of Fort Sumter.B. Congress should have protected slavery throughout the United States to prevent war.C. Lincoln had warned the country about the growing divide threatening the country.D. No legislature had the right to limit the rights of Southern states to regulate slavery. A light year is approximately 9.5 million km long. 'Barnard's Star' is 6 light years away from Earth. Calculate how many millions of kilometres this is. Which is the most likely to be reduced?A. Fe2+B 7.2+C. Ni2+D. Mg2+ PLZ IM TAKING TEST RN. HELP!!!!!!For two functions, m(x) and p(x), a statement is made that m(x) = p(x) at x = 7. What is definitely true about x = 7? (2 points)Both m(x) and p(x) cross the x-axis at 7.Both m(x) and p(x) cross the y-axis at 7.Both m(x) and p(x) have the same output value at x = 7.Both m(x) and p(x) have a maximum or minimum value at x = 7. A basketball coach recorded the number of points his team scored in each of the 11 games they played.4568745969706777726175What is the interquartile range of the data?A. 5 B. 8 C. 13 D. 15 What caused southern Sudan to rebel against northern sudan? The arrival rate at a parking lot is 6 veh.min. Vehicles start arriving at 6:00PM and when the queue reaches 36 vehicles, service begins. If company policy is that total vehicle delay should be equal to 500 veh-min, what is the departure rate? Please help with all three The quote below is an example of"The delicious breath of rain was in the air."sinroOaObsimilehyperbolemetaphorpersonification Jeff owns a coffee shop near a commercial zone. He used to pay $10 per hour to his employees. During the last year he opened three coffee shops in that same area. He could afford to do so because of the low wages. However, Jeff is now paying $15 per hour to his employees. Answer the following questions based on the supply and demand schedule of labor.Who creates the demand for coffee shops? Who creates the demand for coffee shop employees? a meter is one thousandth of a kilometer. write an equation to show the relationship between 7 meters and 0.007 kilometer.Need steps help find perimeter and area A section of a rectangular floor is covered with square floor tiles as shown below If we have a priority queue storing approximately million numbers, and the bottom level is "full", which of the following statements is false? (lower numbers have higher priority) A) The height of the structure is approximately 20. B) The width of the lowest level of the structure is approximately 500,000. C) Nearly half of the 1000 largest values must be in the bottom level of the structure. D) Nearly half of the 1000 smallest values must be in the top half of the tree (if there are k levels in the tree, the "top half" is the top k/2 levels). E) Nearly half of the 1000 smallest values may be in the bottom level of the structure. Accounting profit differs from economic profit because:A. of differences in the manner in which revenue is calculated.B. economic costs include explicit costs, while accounting costs do not.C. accounting costs are generally higher than economic costs because accounting costs include explicit and implicit costs, while economic costs include only explicit costs.D. economic costs are generally higher than accounting costs because economic costs include all opportunity costs, while accounting costs include explicit costs only.