Cara wants to build an 80 foot long rectangular sheep pen in back of her barn. If she bought 180 feet of fencing and used her barn wall as one side of the pen equaling the width, what would be the area of the sheep pen?.

Answers

Answer 1

If cara wants to build an 80 foot long rectangular sheep pen in back of her barn then the area of the sheep pen will be 1600 square feet.

What shape is a rectangle?

An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides. A rectangle has two dimensions—length and width—because it is a two-dimensional form.

What is the formula for area of rectangles?

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle as Area = length x width

Length of the sheep pen =80 ft

bought fencing = 180 ft

One side of rectangular sheep pen is covered with barn which is equaling the  width

perimeter of rectangular sheep pen = 2(length +width)

length need to covered is 2 Length+ width

180 =2 length+width

180 = 2 x80 +width

180-160= width

20= width

Area of rectangle = 80 x 20

=1600 square feet

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Related Questions

There were 234 roses growing in the back garden. If 50% of the roses were red. How many were not red?

Answers

Answer:

C)117

Step-by-step explanation:

50%=1/2

If you want to figure out how much is left of a half all you do is have to divide the total number of whatever it is, in this case, its roses, by 2.

So now that we know that, let's get started.

234/2=117

Which we know is correct because it's one of your answer choices.

So 117 roses are not red. The other half was.

I hope this helps!!!

PLS HELP!!!! 100 PTS I ONLY HAVE 5 MINS!!!

The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than a certain number of inches.

Write two different expressions to represent the area of this rectangle.

Answers

Answer:

Area= 2(x-3)

Area= (x-3)2

Step-by-step explanation:

not sure if that's right but I think it is

The equation c = 6.99p represents the proportional relationship between the total cost (c) and the number of pounds (p) of shrimp at a grocery store.

Which description is true, based on the equation of the proportional relationship?

For $1, you can buy 6.99 pounds of shrimp.
For $6.99, you can buy 6.99 pounds of shrimp.
For $6.99, you can buy 1 pound of shrimp.
For $0.01, you can buy 1 pound of shrimp.

Answers

For $6.99, you can buy 1 pound of shrimp, therefore, the third option is correct

What is a Ratio?

A ratio indicates the number of times one number contains another.

The given equation is c = 6.99p, where c is the cost and p is the weight in pounds.

c = 6.99p

substitute p = 1:
c = 6.99

Hence, for $6.99, you can buy 1 pound of shrimp, therefore, the third option is correct.

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What is the product of 7x -4 and 8x +8

Answers

Answer:

56x-32

Step-by-step explanation:

7x-4 Times 8x+8

7xtimes8x

56x-4times8

56x-32

Pedro Romar's savings account statement shows a previous balance of $895.00 and $3.50 in interest. He made a deposit of $210.00 and had a withdrawal of $20.50. What is his new balance?

а. $1,088.00

b.$1,088.50

c. $1,098.00

d. $1,098.50

Answers

Answer: A

Step-by-step explanation: To find Pedro Romar's new balance, we need to add his previous balance and the interest to the deposit, and then subtract the withdrawal. This gives us $895.00 + $3.50 + $210.00 - $20.50 = $1,088.00. Therefore, the correct answer is $1,088.00 or option (a).

Write a story or situation that can be represented by the given equation.
4a + 5=12a − 11

Answers

story that represented equation, Maria, who liked cookie packages, did the arithmetic and discovered that the price of 4 cookie packages plus $5 is equivalent to the price of 12 cookie packages less $11.

What is a equation?

A mathematical equation is a formula that connects two expressions with the equal sign = to express equality.

As a fan of cookie packages, Maria did the math and found that the cost of 4 packages of cookies + $5 is equal to the cost of 12 packages of cookies less $11.

[tex]'a'[/tex] represents the expense of a box of cookies,

On one side of the equation, we have the 4 packages of cookies plus $5.

[tex]4a + 5[/tex]

additionally, the 12 packages of cookies less 11 dollars on the other side of the equation.

[tex]12a - 11[/tex]

Now,

[tex]4a + 5 = 12a - 11[/tex]

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Con la finalidad de otorgar los materiales suficientes para un óptimo trabajo de limpieza, se hizo la siguiente pregunta al personal de intendencia, ¿qué utensilio se gasta más?. Acomoda las etiquetas de los utensilios por debajo de las barras según corresponda.

Answers

Answer:

D=Trapeador

A=Cubeta

C=Escoba

B=Recogedor

Step-by-step explanation:

A new video game has been released. The table shows the proportional relationship between the number of levels completed and the time it should take to complete them.


Number of Levels 2 7
Time (hours) ? 3.5


How many minutes should it take to complete 2 levels?
60 minutes
120 minutes
180 minutes
210 minutes

Answers

The number of minutes it takes to complete 2 levels is (a) 60 minutes

How many minutes should it take to complete 2 levels?

From the question, we have the following parameters that can be used in our computation:

Number of Levels 2 7

Time (hours) ? 3.5

This table can be represented as follows:

Ratio = Level : Time

So, we have the following representation

Level : Time = 7 : 3.5

At level 2, we have

2 : Time = 7 : 3.5

Express as fraction

Time/2 = 3.5/7

So, we have

Time = 2 * 3.5/7

Evaluate

Time = 1

Express as minutes

Time = 60 minutes

Hence. the time is 60 minutes

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Use fundamental identities to solve the equation.
csc^3 (x) - csc^2 (x) - csc (x) + 1

Answers

x = ± π/2 + 2kπ    with k ∈ Z is the solution of fundamental identities

What is fundamental identities?

An equation is referred to as an identity if it has one or more variables and holds true for any replacement value of each variable that is specified on both sides of the equation.

 y = cscx

  y³ - y² - y + 1 = 0   has a root for y = 1

     

=  y³ - y² - y + 1  

= ( y² - 1 ) ( y - 1 )

= ( y + 1 ) ( y - 1 )²

   cscx = ± 1

  sinx = ± 1

or

  x = ± π/2 + 2kπ    with k ∈ Z

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if m, p, and t are distinct positive prime numbers, then m3pt has how many different positive divisors greater than 1 ?

Answers

There are 15 different positive divisors (greater than 1) for the number m³pt. Here m, p, and t are distinct prime numbers. This is obtained by the prime factorization method.

How to find the number of positive factors for a number?

The following are the steps to find the number of positive factors of a number:

Step 1: Find the L.C.M of the number by using the prime factorization method. For example: consider the number 24. Then, its prime factorization is as follows:

24 = 2 × 2 × 2 × 3

Step 2: Same bases should be added in powers. So, the factors we can write as

24 = 2³ × 3¹

Step 3: To find the number of positive factors of the number, the exponents of the prime factors is multiplied by adding 1.

I,e., N = (3 + 1)(1 + 1) = 4 × 2 = 8.

So, there are 8 factors for the number 32. They are 1, 2, 3, 4, 6, 8, 12, and 24.

Calculation:

It is given that, m, p, and t are distinct positive prime numbers.

Then, the number of positive divisors greater than 1 for the number m³pt are

m³× p × t

Since m, p, and t are prime factors, we can multiply their power by adding 1 to them. I.e.,

N = (3 + 1) (1 + 1) (1 + 1) = 4 × 2 × 2 = 16

So, there are a total of 16 factors for the given number (including 1). So, the number of factors greater than 1 is 16 - 1 = 15.

Therefore, there are 15 different positive divisors greater than 1 for the number having prime factors as m³pt.

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suppose you were hired to conduct a study to find out which of four brands of soda college students think taste better. in your study, students are given a blind taste test. you randomly divide your sample of students into one of four groups, with one fourth of the students tasting each drink. the ratings are given on a scale of 1 (awful) to 5 (delicious). which type of hypothesis test would be the best to compare these ratings?

Answers

The type of hypothesis test would be the best to compare these ratings are that it is sample test.

The Independent Samples t Test compares the means of two independent groups in order to determine whether there is statistical evidence that the associated population means are significantly different.

The Independent Samples t Test is a parametric test. This test is also known as: Independent t Test.In independent samples (or unpaired sample), the values come from two or more different groups. For example, if the group of men and the group of women are asked about their income, independent samples exist. In this case, a person from one sample cannot be assigned to a person from the other sample

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Given m || n, find the value of x and y.
X =
(7x+18)º
y =
Do
(9x-14)°
m

Answers

Answer:

x = 16y = 130

Step-by-step explanation:

You want the values of x and y when corresponding angles at parallel lines are marked (9x -14)° and (7x +18)°, and a vertical angle to those is marked.

Corresponding angles

Corresponding angles where a transversal crosses parallel lines are congruent:

  (9x -14)° = (7x +18)°

  2x = 32 . . . . . . . . . . divide by °, add 14-7x

  x = 16

Then these angles are ...

  (9(16) -14)° = (144 -14)° = 130°

Vertical angles

Vertical angles are congruent, so ...

  y° = 130°

  y = 130

a boat leave a dock and sails 8 km north and then 13 km east how far is the boat from the dock

Answers

If a boat leaves a dock and sails 8 km north and then 13 km east, it is no longer directly north or east of the dock. Instead, it is northeast of the dock. To find the distance from the dock to the boat, you would need to use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. In this case, the length of the hypotenuse is the distance from the dock to the boat, and the lengths of the other two sides are 8 km and 13 km.

If we call the distance from the dock to the boat "d," the equation that represents the Pythagorean theorem in this situation is d^2 = 8^2 + 13^2. Solving this equation, we find that d = 15 km. This means that the boat is 15 km from the dock.

Please help me with this question in the picture

Answers

Answer:c

Step-by-step explanation: decreasing

8) Which ratio would be equivalent to 1/9 ? *
OA) 3/18
OB) 2/27
OC) 3/27
D) 3/10

Answers

C!



if you multiply both sides by three it would equal 3/27

hope this helps :D

Answer: c) 3/27

Step-by-step explanation:

To make equivalent fractions, we multiply the numerator and denominator with the same number so that on cancelling we get the original fraction...

Therefore, 1/9=

1 x 3 / 9 x 3 = 3/27

Which can also be written as 3:27

So, the answer is c) 3/27

chloe is 5 feet 4 inches tall.There are 2.54 centimeters in 1 inch .What is Chloes height in centimeters

Answers

Answer:

Step-by-step explanation:

write an equation of a line perpendicular to the given equation using the given point given (8,2): x = -4

Answers

The equation of line passes through the point (8, 2) will be;

⇒ y = 1/4x

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (8, 2).

And, The slope of perpendicular line is,

⇒ m = - 4

Now,

Since, The equation of line passes through the point (8, 2).

So, We need to find the slope of the line.

Since, The product of slope of the perpendicular line is - 1.

Hence, Slope of the line is,

m = - 1/- 4

m = 1/4

Thus, The equation of line with slope 1/4 is,

⇒ y - 2 = 1/4 (x - 8)

⇒ y - 2 = 1/4 (x - 8)

⇒ y - 2 = 1/4x - 2

⇒ y = 1/4x

Therefore, The equation of line passes through the point (8, 2) will be;

⇒ y = 1/4x

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Kathryn runs from the north west corner to the southeast corner of a rugby field and Mia runs from the northeast corner to the southwest corner. Mia says she ran farther

Answers

Mia is incorrect, as they both ran the same distance, which is the hypotenuse of a right triangle of dimensions 10m and 16m.

What is the Pythagorean Theorem?

The Pythagorean Theorem is a geometry axiom which states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the lengths of the sides squared.

The sides are between the angle of 90º, while the hypotenuse is the segment that connects the sides.

From the image given at the end of the answer, the distances ran from each of them are equal, which is the hypotenuse of a right triangle of dimensions 10 m and 16 m, thus the distance is obtained as follows:

d² = 10² + 16²

d = square root of (10² + 16²)

d = 18.87m.

Missing Information

The problem is given by the image shown at the end of the answer.

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if my annual fee is $37,000 a year and i get a 5% raise every year what would be my annual salary in 14 years

Answers

Answer: $62900

Step-by-step explanation:

Find 5% of 37000 by taking 37000 timed 0.05 = $1850

Then find the total rise after 14 years by taking 1850 timed 14 = $25900

Then we add the original 37000 with 25900 = $62900

If you can, please give me a Brainliest, I only need 1 more to become an Ace, thank you!

Answer: around 62900 Dollars in 14 years

Step-by-step explanation:

find the percentage of the raise per year

1850

Multiply by 14

25900

add the starting amount of salary per year

25900+37000

73257

What is the equation of a line that is perpendicular to y-3x-2 and passes
through the point (6, 8)?
A. y=-x+10
OB. y--x+8
OC. y-x+6
OD. --x+4

Answers

The perpendicular equation is y = -1/3x + 10 Option A

How to find perpendicular of an equation?

You can find this by first realizing that perpendicular lines have opposite and reciprocal slopes. So since it starts at 3 we flip it and make it a negative and the new slope is -1/3.

Now we can use that and the point to get the y intercept using slope intercept form.

y = mx + c

m = gradient of the line

c = y -intercept

8 = (-1/3)(6) + c

8 = -2 + c

10 = c

And now we can use our new slope and new intercept to model the equation. y = -1/3x + 10

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a poll is conducted the day before an election for state senator. there are two candidates running. the poll shows that 53% of the voters surveyed favor the republican candidate, with a margin of error of 2.as percentage points. should the republican be confident that she'll have a victory party? why or why not?

Answers

The lower limit of the confidence interval is 51%, which is above 55%, so the Republican should expect to win.

What does confidence interval mean?

Your estimate's mean plus and minus the range of that estimate's fluctuation is called a confidence interval.

                       If you repeat your test, you can expect your estimate to fall between these numbers with a reasonable degree of certainty. In statistics, confidence is another word for probability.

A confidence interval of proportions has two bounds, a lower bound and an upper bound.

These bounds depend on the sample proportion and the margin of error.

The lower bound is the sample proportion subtracted by the margin of error.

The upper bound is the margin of error added to the sample proportion.

In this problem, we have that:

Sample proportion 53%

Margin of error 2%

53 - 2 = 51%

53 + 2 = 55%

Hence, the lower limit of the confidence interval is 51%, which is above 55%, so the Republican should expect to win.

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Can you please help me find why these are perpendicular

Answers

Answer: It is perpendicular because it makes a 90-degree angles

Step-by-step explanation: A perpendicular is when it makes a 90-degree angle or has the same length!

Exponential functions

Answers

An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

An exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.

The exponential function is an important mathematical function which is of the form

f(x) = ax

Where a>0 and a is not equal to 1.

x is any real number.

If the variable is negative, the function is undefined for -1 < x < 1.

Here,

“x” is a variable

“a” is a constant, which is the base of the function.

An exponential curve grows, or decay depends on the exponential function. Any quantity that grows or decays by a fixed per cent at regular intervals should possess either exponential growth or exponential decay.

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Triangle ABC has vertices A(-4,1), B(-2,1), and C(-1,-2) on a coordinate grid. If it is rotated 180 degrees about the origin, what are the coordinates of A'B'C'?

Answers

Answer: A' (-4,-1)  B' (-2,-1)  C' (-1,2)

Step-by-step explanation:  The reasons these are the correct answers because if you look at the rule of a rotation, it states that: The rule for a rotation by 180° about the origin is (x,y)→(−x,−y) .

Deanna and lulu are playing games at the arcade. Deanna starts with $15, and the machine she is playing costs $0. 75 per game. Lulu starts with $13, and her machine costs $0. 50 per game. Choose the correct expressions to write an equation that could be used to find after how many games the two friends will have the same amount of money remaining. Let g represent the number of games.

Answers

After 8 number of games both has equal amount of money.

Deana starts with $15 and the machine she is playing costs $0.75 per game

lulu starts with $13 and the machine she is playing costs $0.50 per game

Let us after x number of games both has same money

Deana spends 0.75*x amount of money after playing x number of games.

Deana has remaining amount of money 15 - 0.75*x.

lulu spends 0.50*x amount of money after playing x number of games.

lulu has remaining amount of money 13 - 0.50*x.

We have assumes that after x number of games both has same amount of money.

[tex]15-0.75*x = 13 - 0.50*x[/tex] --- this is the correct expression to write an equation that could be used to find after how many games the two friends will have the same amount of money.

15 - 13 = 0.75*x - 0.50*x

2 = 0.25*x

x = 2/0.25

x = 8.

So After 8 number of games both has equal amount of money.

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Which transformation is modeled by the function?

Answers

The transformations of f(x) are (b) horizontally shrunk by a factor of 1/4, vertically stretched by a factor of 5 and then reflected across the x-axis

How to describe the transformation from the parent function?

From the question, we have the following function that can be used in our computation:

f(x) = x²

g(x) = -5(4x)²

Mathematically, these equations can be represented as

g(x) = -5f(4x)

The above equations implies that, we have the transformation to be:

The 4x implies that the function f(x) is horizontally shrunk by a factor of 1/4The -5 implies that the function f(x) is vertically stretched by a factor of 5 and then reflected across the x-axis

Hence, the transformed function is (b(

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Linear quadratic systems

Answers

The solution of the given system of equations is (-1, 2).

What is system of equations?

A group of equations involving one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations intersect, are the solutions to systems of equations.

Consider, the given system of equations.

x^2 - x + 3y - 8 = 0           ..(1)

x - y + 3 = 0                       ..(2)

From equation (2),

x = y - 3            ..(3)

Plug the value of x in equation (1).

⇒ (y - 3)^2 - (y - 3)  + 3y - 8 = 0

y^2 - 6y + 9 - y + 3 +3y - 8 = 0

y^2 - 4y + 4 = 0

y^2 - 2y - 2y + 4 = 0

y(y - 2) - 2(y - 2) = 0

(y - 2)(y - 2) = 0

(y - 2)^2 = 0

y = 2

Now plug y = 2 in equation (3)

x = 2 - 3

x = -1

hence, the solution of the given system of equations is (-1, 2).

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What is the solution to p + 4 = -9 + p?​

Answers

Answer: No solution

Step-by-step explanation:

First take away p from both sided and then you get 4 = -9 but you can't really do anything else

Michael typed 430 minutes in 5 minutes. If she continues at this rate, how many words could Michael type in 12 minutes?

Answers

When Michael continues at this rate, the words Michael type in 12 minutes will be 1032.

How to calculate the rate?

It is important to note that a rate demonstrates how many times one number can fit into another number. Rates contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

Here, Michael typed 430 words in 5 minutes. The words ler minutes will be:

= 430 / 5

= 86

If he continues at this rate, thr words Michael type in 12 minutes will be:

= 86 × 12

= 1032 words.

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Complete question

Michael typed 430 words in 5 minutes. If she continues at this rate, how many words could Michael type in 12 minutes?

When ABCD is Drawn to scale
would the lines AD and Bc be
Parallel or not?

Answers

Answer:

No they would be perpendicular

Step-by-step explanation:

Other Questions
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So, Matthew betook himself to Carmody to buy one, resolved to go to Samuel Lawson's store, for in such a matter as this, requiring explanation and consultation, Matthew felt that he must be sure of a man behind the counter.Alas! Matthew did not know that Samuel had set up a lady clerk; she was a very dashing young person indeed, with a huge, drooping pompadour, and a mostbewildering smile."What can I do for you, Mr. Cuthbert?" Miss Lucilla Harris inquired. "Have you any-any--any-well now, say any garden rakes?" stammered Matthew.Miss Harris looked somewhat surprised, to hear a man inquiring for garden rakes in December."I believe we have one or two left over," she said, "but they're upstairs." When Miss Harris returned with the rake and cheerfully inquired: "Anything else tonight, Mr. Cuthbert?" Matthew took his courage in both hands and replied: "Well now, since you suggest it, I might as well-take-that is-look at-buy some some hayseed.""We only keep hayseed in the spring," she explained loftily."Oh, certainly certainly-," stammered unhappy Matthew, seizing the rake and making for the door when he recollected he had not paid for it and turned miserably back. While Miss Harris was counting his change, he rallied his powers for a final desperate attempt."Well now if it isn't too much trouble-I might as well-that is-I'd like to look at-at-some sugar.""There's a barrel of it over there," said Miss Harris, shaking her bangles at it. "It's the only kind we have." "T-I'll take twenty pounds," said Matthew, beads of perspiration standing on his forehead. Matthew had driven halfway home before he was his own man again, and decided a woman was required to cope with the situation, so to Mrs. Lynde he wentaccordingly, and that good lady promptly took the matter out of the abashed man's hands.How is Matthew's discomfort around women developed in this passage? A. Every time he tries to ask about the dress, he asks for things he does not need. B. He stammers every time the clerk asks him a question. C. Every time he tries to ask about the dress, he asks for gardening things instead. D. He is gripping the rake and begins perspiring on his forehead. There are 50 workers onsite at a large construction project. Six of them are left-handed, and the rest are not. Suppose that the project manager randomly selects 222 workers (without replacement).What is the probability that NEITHER of the workers selected are left-handed? The heat of combustion for sugar is 5639 kJ/mole, but that for TNT is 3406 kJ/mole. Why, if the heat of combustion for TNT is smaller than for sugar, is TNT an explosive? For which of the following conditions would you MOST likely encounter a ventricular peritoneum shunt? The two chemicals that were in the 2nd unknown solution where...Potassium ChlorideBarium ChlorideCalcium ChlorideLithium ChlorideSodium ChlorideCopper ChlorideStrontium Chloride Chad is decorating a rectangular ballroom ceiling with decorative lights. Beginning in a corner, Chad strings the lights along the length of the ceiling, a distance of 55 feet. Next, Chad strings the lights along the width of the ceiling, a distance of 48 feet. Then Chad strings the lights straight back to the original corner. At this point, how many feet of lights has Chad used?If necessary, round your answer to the nearest tenth. feet FILL IN THE BLANK acdording to erik erikson, during the _________ stage, adolescents are faced with deciding who they are, what they are all about, and where they are going in life. Kind of need help with it please! Identify the patterns in the data. Try to explain why those patterns might be occurring. Write the statement "the sum of a number and 10.7 is at most 3.2" as an inequality. 3.2 + b > 10.7 3.2 + b < 10.7 b + 10.7 3.2 b + 10.7 3.2 help simplify this 3^1-1 Helpdldkdkldleld What is the process coal must undergo in order to generate power?A combined with hydrocarbons and compressed into a fine powderB.compressed into a very dense substanceC. milled into a fine powder and burned at a high temperatureD. milled into a fine powder and burned slowly at a mid-temperature Which of the following can be a challenge when implementing a green space? (1 point)O making sure no buildings are around itO making sure there are enough sidewalksO making sure it is not shadedO making sure access is equitable While modern agriculture continues to employ 2/3 ofthe Indian population, it serves as only one-fifth of thenation's GDP. What does this shift indicate about India's changing economy? Willagriculture diminish over time? a client diagnosed with huntington disease is on a disease-modifying drug regimen and has a urinary catheter in place. which potential complication is the highest priority for the nurse while monitoring the client? I need help please!c = 2 while (c < 12): print (c) c = c + 3