The steepness or grade of a road is expressed as a percent. if a road rises 6feet for every 24 horizontal feet. What is the slope of the road? what percent grade is this ?

Answers

Answer 1

Answer:

  25%

Step-by-step explanation:

The ratio of rise to run is ...

  rise/run = 6 ft/24 ft = 1/4

Expressed as a percentage, this is ...

  1/4 × 100% = 25%

_____

Comment on this grade

Interstate highways are limited to a 7% grade. Most local jurisdictions limit the grade of a road to somewhere between 12% and 15%.

Answer 2
um the person above me answered it

Related Questions

What is the correct evaluation of x2 - y2 - z2, when x is equal to -2, y is equal to 3 and z is equal to 4?

Answers

Answer:

-18

Step-by-step explanation:

x2 - y2 - z2 if x=-2, y=3, and z=4

x2 - y2 - z2

(-2) 2 - (3)2 - (4)2

(-4) - (6) - (8)

-10 -8

-18

Answer:

18

Step-by-step explanation:

Which statements could he include in his explanation? Select two options.

The domain of both functions is all real numbers.
The domain of f(x) is x > 5.
The domain of g(x) is x > 5.
The range of f(x) is y > 0.
The range of g(x) is y > 0.

Answers

Answer:

The domain of fx is x>5

The domain of gx is x>5

The statements could he include in his explanation are

a. The domain of fx is x>5.

b. The domain of gx is x>5.

What is the function?

A function is defined as a relationship between a set of inputs and a single output. A function is an input-output relationship in which each input corresponds to exactly one output.

A function is a sort of rule that generates a single output for a single input. The image was given by Alex Federspiel. A good example is y=x2. You will only get one output for y if you enter anything for x. We can say that y is a function of x because x represents the input value.

Both functions are real numbers, so, f(x) is x > 5 and g(x) is x > 5 will be correct.

Therefore, the correct options are, a. The domain of fx is x>5 and b. The domain of gx is x>5.

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*PLEASE ANSWER* The volume of this fish tank needs to be doubled.

Answers

Answer:

Of course the answer is 2.

It says 'Double'!

The required scale factor is 2 in a manner to double the volume of the fish tanks. Option A is correct.

The figure is shown of the fish tank, a scale factor to be determined that is applied to the dimensions so the volume becomes twice the former volume.


What is volume?

Volume is defined as the ratio of the mass of an object to its density.

The volume of the fish tank = v
Now new the volume of the new fish tank = 2v
Scale factor = New volume/old volume
                  =  2v/v
                  = 2

Since the scale factor is 2 the dimension of new fish tank should be doubled to get twice the volume of the old fish tank.

The required scale factor is 2 in a manner to double the volume of the fish tanks. Option A is correct.

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The volume of a cube is given by , where s is the side length of the cube. What is the difference of the volumes of two cubes with side lengths of 5 meters and 4 meters?

Answers

Answer:

61 cubic meters

Step-by-step explanation:

1) Find the volume of the cube where s=4

1a) V= s*s*s

1b) Insert in side length

V=4*4*4

1c) solve

V=64 cubic meters

2) Find volume of 2nd cube by repeating same steps where s=5

2a) V=125 cubic meters

3) Subtract to find difference

3a) 125-64

3b) Solve: 61 cubic meters

Answer:

The cube with meters length of 5 s a bigger mass if the width of both cubes are the same

Step-by-step explanation:

Question 12 Multiple Choice Worth 1 points)
(06.01 MC)
20
20
A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 11. The probability of the arrow landing on a section colored blue is 6. Whan
the probability of the arrow landing on a green-colored section?
O
20
O
20
о
9
20
17
20

Answers

Complete question:

A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 11 over 20. The probability of the arrow landing on a section colored blue is 6 over 20. What is the probability of the arrow landing on a green-colored section?

Answer: 3/20

Step-by-step explanation:

From the question, the spinner is divided equally into sections painted with 3 different colors (RED, BLUE and GREEN)

Given that:

P(arrow landing on red) = 11 / 20

P(arrow landing on blue) = 6/20

The probability of arrow landing on green is therefore :

Sum of the probabilities of red and blue :

P(arrow landing on red) + P(arrow landing on blue)

= (11/20 + 6/20) = 17/20

Recall : The sum of probabilities of mutually exclusive events must sum up to 1. Therefore, since the events represented above are mutually exclusive, that is no two events can occur at the same time.

Then:

P(arrow landing on red) + P(arrow landing on blue) + P(arrow landing on green) = 1

Hence,

P(arrow landing on green) = 1 - [(P(arrow landing on red) + P(arrow landing on blue)]

P(arrow landing on green) = 1 - [11/20 + 6/20]

P(arrow landing on green) = 1 - 17/20

P(arrow landing on green) = 3/20

3/20

God bless u. Sorry if I’m wrong and I tried
My best

what is EG and EF ( can you do number 9 too thank you

Answers

Answer:

EF = 32 in (Approx)

EG = 16 in (Approx)

Step-by-step explanation:

Given:

Side FG = 28 in

∠ E = 60°

Find:

EG = ?

EF = ?

Computation:

Using trigonometry application.

Sin 60° = FG / EF

√3/2 = 28 / EF

0.866 = 28 / EF

EF = 32.33

EF = 32 in (Approx)

Tan 60° = FG / EG

1.732 = 28 / EG

EG = 16.16

EG = 16 in (Approx)

What is the range of the function shown in the graph below? answer type: interval, all real values except one, all real values except two, all real numbers Interval:

Answers

Answer:

Step-by-step explanation:

There is a graph from minus infinity to y = -6.

The range is (-infinity, -6).  

The domain of the graphed function is (-∞, 8] and the range of the graphed function is (-∞, -6].

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

The function is shown.

The domain of the graphed function will be given by observing the graph.

Then the domain will be (-∞, 8].

And the range of the graphed function will be given by observing the graph.

Then the range of the graphed function will be (-∞, -6].

Thus, the domain of the graphed function is (-∞, 8] and the range of the graphed function is (-∞, -6].

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The frequency table categorizes winners of a prestigious award from.1990-2012 by their age at the time they received the award.

Answers

Answer:

is there an image of the frequency table attached? whats the question

Step-by-step explanation:

An image would be appreciated.

PLEASE HELP!! I NEED THIS SOON!! Explain why you cannot use algebra tiles to model the multiplication of a linear polynomial by a quadratic polynomial. As an added challenge, develop a model similar to algebra tiles that will allow you to show this multiplication. Describe an example of your model for the product (x + 1)(x2 + 2x + 2). Give at least 5 sentences.

Answers

Multiplying a linear polynomial by a quadratic polynomial would equal a cubic polynomial. Algebraic tiles do not model cubic functions.

Answer:

the guy is right

Step-by-step explanation:

Pllzzz help I’ll mark brainliest

Answers

Answer:

26°

Step-by-step explanation:

AC=tan 64

BC=x=sec 64

Using sine rule

(Sin 64)/tan 64 = (sin BAC)/sec 64

Cos 64 = (sin BAC)(cos 64)

Sin BAC= 1

BAC=90

ACB+ 64+90=180

ACB= 26°

ACB=26.............. :)

what is (8*8*8) * (8*8*8*8) in exponential form?​

Answers

Answer:  8^7

The exponent 7 tells us how many copies of "8" are being multiplied together.

The expression 8*8*8 is equal to 8^3, while 8*8*8*8 = 8^4

Multiplying 8^3 and 8^4 will have us add the exponents to get 8^7. The base stays at 8 the entire time.

The rule is a^b*a^c = a^(b+c) where the base is 'a' the entire time.

Answer:

8^ 7

Step-by-step explanation:

(8*8*8) * (8*8*8*8)

There are 3 8's times 4 8's

8^3 * 8^4

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

8 ^ ( 3+4)

8^ 7

Identify the slope and y-intercept of the graph of the equation. y = 5/3 x -2

Answers

Answer:

Slope: [tex]\frac{5}{3}[/tex]

Y-intercept: -2

Step-by-step explanation:

Conveniently, this equation is already in slope-intercept form.

The slope is always the constant of proportionality, which we multiply x by.

Therefore the slope is  [tex]\frac{5}{3}[/tex].

The y-intercept is always the constant that comes after the x term, which is -2.

So the y-intercept is -2.

Hope this helped!

Answer:

Slope: 5/3

Y-intercept: -2

Step-by-step explanation:

Since your equation is already in slope intercept form, it makes it easier for you to identify the slope and y-intercept.

In your equation ([tex]y = \frac{5}{3} x -2[/tex]) the coefficient of 5/3 is your slope and your constant of -2 is your y-intercept.

Hope that helps and maybe earns a brainliest!

Have a great day! :)

PLEASE HELP ASAP !!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Given the following :

Period = 15 years

Worth of investment = $7,200

The rule of 70 is represented by the formular :

Number of years to double = ( 70 / Annual percentage growth rate)

Inputting our values :

Number of years to double = 15 years

15 = 70 / Annual percentage growth rate

Annual percentage growth rate * 15 = 70

Annual percentage growth rate = (70 / 15)

= 4.667%

Therefore according to the rule of 70, it will take an annual percentage growth rate of 4.667% to double the investment.

Find the lateral area of the following cone.
Leave your answer in terms of pi

Answers

Answer:

The lateral surface area of cone is A = π×r×l where r represents radius and l is slant height.

The formula to find slant height is l = (h²+r²) where h represents height.

The lateral surface area of the cone is 65[tex]\pi[/tex] square cm.

Given,

The height is 12 cm and the radius is 5 cm.

We are to find the lateral surface area of a cone.

What is the lateral surface area of a cone?

The lateral surface area of a cone:

A = [tex]\pi[/tex] x r x l

where r = radius and l = slant height.

The slant height:

l = √(h²+r²)  where h =height.

We have,

h = 12 cm and r = 5 cm

l =√(h²+r²)

l = √(12^2 + 5^2)

l = √(144 + 25)

l = √169

l = 13 cm

Now,

l = 13 cm and r = 5 cm

A = [tex]\pi[/tex] x r x l

A =  [tex]\pi[/tex] x 13 x 5 = 65[tex]\pi[/tex] square cm

Thus lateral surface area of the cone is 65[tex]\pi[/tex] square cm.

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The following data points represent the number of points scored last basketball game by each player on the Dragons basketball team.

5,8,11,7,?

If the mean of the data set is 8 points, find the missing number of points.

Answers

Answer:

9

Step-by-step explanation:

There are 5 data points.  To find the mean, we add the data and divide by 5

(5+8+11+7+?) /5 = 8

Multiply each side by 5

(5+8+11+7+?) /5 *5 = 8*5

(5+8+11+7+?)  = 40

Combine like terms

? + 31 = 40

Subtract 31 from each side

? +31-31 = 40-31

? = 9

The missing number is 9

The missing number is 9.


Helllllpppppp!
I went to Starbucks and purchased three coffees and two cake pops with a total cost of $7 dollars. Then I
went to Einstein Bagels and purchased two coffees and four cake pops for $8 dollars. What is the price for a
single coffee and single cake pop?

x=cost of a single coffee
y= cost of a cake pop

3x+2y+7
2x+4y+8


Answers

Answer:

Step-by-step explanation:

The system of equations is:

● 3x + 2y = 7

● 2x + 4y = 8

Where x is the price of a single coffee and y is the price of a single coffee

We will solve this simultaneous equations using the graphing method:

The solutions is the intersection point of to the lines.

(Picture below)

The intersection point is (1.5,1.25)

Answer:

x = 1.5

y =1.25

Step-by-step explanation:

3x+2y=7

2x+4y=8

Multiply the first equation by -2

-2(3x+2y=7 )

-6x-4y = -14

Add this to the second equation

-6x-4y = -14

2x+4y=8

----------------

-4x = -6

Divide by -4

-4x/-4 = -6/-4

x = 1.5

Now find y

3x+2y=7

3(1.5) + 2y = 7

4.5 +2y = 7

Subtract 4.5 from each side

2y = 2.5

Divide by 2

y = 1.25

How many envelopes does Jane address in a
day?
Jane addresses twice as many envelopes
as Louis in the same amount of time.
Together, they address 450 envelopes
each day.

Answers

Answer:

2x+X=450

3x=450

X=450/3

X=150

so

2x=2*150=300

X=150

so, Jane addressed 300 envelopes while Louis addressed only 150

Answer:

Jane addressed 300 envelopes while Louis addressed 150

Step-by-step explanation: Let x represent Louis's amount and 2x is Jane's amount

x+2x= 450 combine 3x =450

Divide both sides by 3.

x/3 = 450/3 x= 150. 2x = 300

Please help! Solve for x: -4x - 3/5 = 1/3 4x + 3/5 = 1/3 Please include a step-by-step explanation. Thank you!

Answers

Answer:

-4(-7/30)-3/5=1/3  

4(-1/15)+3/5=1/3

Step-by-step explanation:

1. -4x-3/5=1/3

-4x=1/3+3/5

-4x=14/15 <- divide both sides

x= -7/30

2. 4x+3/5=1/3

4x=1/3-3/5

4x= -4/15 <-divide both sides

x= -1/15

The answer is -4 (7/30) 3/5=1/3

Zach keeps his pet chameleon Pinky in a terrarium with the dimensions shown below. There's sand in the bottom of the terrarium that reaches a height of 888 centimeters. Zach gets a new terrarium for Pinky that is larger. The base of the new terrarium is 252525 by 646464 centimeters. Zach moved the existing sand to the new terrarium. How deep will the sand be in the new terrarium?

Answers

Answer:

The Sand Will Be 2 inches Dip

Step-by-step explanation:

240 h = 480

=> h  = 2

sorry if this didn't help :p

The answer is the sand with be 2 inches deep

If a person earned $32,000 a year and received $800 raise, what was the percent increase in her salary?

Answers

Answer:

Hey there!

This would be a 2.5% increase in salary.

Using the percent increase formula we find the answer to be a 2.5% increase.

Let me know if this helps :)

Answer:

2.5%

Step-by-step explanation:

((new - original) / original) * 100

328-320 = 8/320 = 0.025

0.025 * 100 = 2.5

How are you? Heres the question of the day! 138 + 76 x 94 =

Answers

Answer:

7282

Step-by-step explanation:

To answer this use PEMDAS

First, we need to multiply: 76 x 94 = 7144

Then we add: 7144 + 138 = 7282

Answer:

[tex]\boxed{7282}[/tex]

Step-by-step explanation:

Using PEMDAS rule:

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

Now, let's solve:

[tex] \mathsf{138 + 76 \times 94}[/tex]

Multiply the numbers

[tex] \mathsf{ = 138 + 7144}[/tex]

Add the numbers

[tex] \mathsf{7282}[/tex]

Hope I helped!

Best regards!

PLEASE HELP WILL MARK BRAINLY

Answers

Answer:

460256

Step-by-step explanation:

35900 books equal to 7.8% of all copies sold

Total number of books:

7.8% = 35900100% = ?35900*100/7.8 ≈ 460256

Answer is 460256 in whole numbers

The answer of this is 460256

PLEASE HELP!! Don't need explanation The Kellen school district gives awards to its schools based on overall student attendance. The data for attendance are shown in the table, where Low represents the fewest days attended and High represents the most days attended for a single student. School Low High Range Mean Median IQR σ High School W 108 180 72 169 150 47.5 29.5 High School X 112 180 68 160 124 49.5 32.4 High School Z 130 180 50 162 151 39.5 27.5 Part A: If the school district wants to award the school that has the most consistent attendance among its students, which high school should it choose and why? Justify your answer mathematically. Part B: If the school district wants to award the school with the highest average attendance, which school should it choose and why? Justify your answer mathematically.

Answers

Answer:

you are very very correct good job

Step-by-step explanation:

what the hell is the answer

I’m confused do u need an explanation?

What is the solution to -5 + z = -12 A. z = -17 B. z = -7 C. z = 7 D. z = 17

Answers

Answer: -7

Step-by-step explanation:

Your answer is B. Z= -7

A surveyor wants to find the height of a hill. He determines that the angle of elevation to the top of the hill is 50°. He then walks 40
feet farther from the base from the hill and determines that the angle of elevation to the top of the hill is now 30°. Find the height of
the hill (round to the nearest foot).
es

Answers

Answer:

The height of  the hill is 45 feet .

Step-by-step explanation:

Refer the attached figure

Let AB be the height of hill

We are given that He determines that the angle of elevation to the top of the hill is 50°

So, [tex]\angle ACB= 50^{\circ}[/tex]

Now  He then walks 40  feet farther from the base from the hill and determines that the angle of elevation to the top of the hill is now 30°

So, CD=40 feet

BD=BC+CD=BC+40

[tex]\ADB= 30^{\circ}[/tex]

In ΔACB

[tex]Tan \theta = \frac{Perpendicular}{Base}\\Tan 50^{\circ} =\frac{AB}{BC}\\1.1917 BC=AB ----1[/tex]

In ΔADB

[tex]Tan \theta = \frac{Perpendicular}{Base}\\Tan 30^{\circ} =\frac{AB}{BD}\\\frac{1}{\sqrt{3}}=\frac{AB}{BC+40}\\\frac{1}{\sqrt{3}}(BC+40)=AB----2[/tex]

So,equate 1 and 2

[tex]1.1917 BC=\frac{1}{\sqrt{3}}(BC+40)\\BC=37.59[/tex]

Substitute the value in equation 1

1.1917 (37.59)=AB

44.796=AB

Hence the height of  the hill is 45 feet .

The answer is 45 feet

Quick guys! I appreciate the help!!
Home depot provides truck rental services. Tom goes to Homedepot to rent a truck for his move. They
charge a flat rate of $50 dollars for renting services and $10 per hour the truck is out. Tom returned the
truck after 6.5 hours. What is the entire cost for the rental service?
Y=x($10)+$50
Y=cost to rent truck
X=how many hours rented

Answers

Here is our equation: y = 10x + 50

Where x represents the hours that Tom rented the truck, and y represents the amount that Tom will spend to rent the truck.

We want to find out how much it will cost if Tom rented the truck for 6.5 hours. So, we are looking and solving for y in this case, because we know that Tom rented the truck for 6.5 hours, or the x value. To solve, all we have to do is plug in 6.5 for x into our equation and solve for y.

y = 10(6.5) + 50

y = 65 + 50

y = 110

The entire cost for the rental service is $110.

Hope this helps! :)

Answer:

The answer is $110.

Step-by-step explanation:

To start, you should write out the information you know in an equation. You know that Home Depot charges a flat rate of $50, so this is your constant (which means it doesn't change throughout the problem). You also know that it cost $10 per hour to rent the truck. Using this information, you can write out your formula of y=10x+50.

Next, you are trying to figure out the total cost, y, when Tom rents the truck for 6.5 hours. To do this, all you have to do is plug in 6.5 for x. This will give you y=10(6.5)+50. When you simplify this, you get y=65+50, so y=$110.

help me plx can somewon help me

Answers

Move the decimal so that there is one non-zero digit on the left of the decimal point. (The number of decimal spaces you move = exponent on 10) Since the decimal is moving to the left, we know the exponent is positive.

2 + 7 = 9

Answer: 9 * 10^16

Add the 7 and the 2 which makes it 9 than keep the 10^16

A basin is filled by two pipes in 12 minutes and 16 minutes respectively. Due to the obstruction of water flow after the two pipes have been running together for some time, the 1st pipe carries 7/8 of the carrying capacity and the 2nd pipe carries 5/6 of the carrying capacity. After removing the water barrier, the tank is full in 3 minutes. How long after the flow of water in the two pipes became normal?​

Answers

Answer:

The time duration of the two pipes restricted flow before the flow became normal is 4.5 minutes

Step-by-step explanation:

The given information are;

The time duration for the volume, V, of the basin to be filled by one of the pipe, A, = 12 minutes

The time duration for the volume, V, of the basin to be filled by the other pipe, B, = 16 minutes

Therefore, the flow rate of pipe A = V/12

The flow rate of pipe B = V/16

Due to the restriction, we have;

The proportion of its carrying capacity the first pipe, A, carries = 7/8 of the carrying capacity

The proportion of its carrying capacity the second pipe, B, carries = 5/6 of the carrying capacity

Whereby the tank is filled 3 minutes after the restriction is removed, we have;

[tex]\dfrac{7}{8} \times \dfrac{V}{12} \times t + \dfrac{5}{6} \times \dfrac{V}{16} \times t + \dfrac{V}{12} \times 3 + \dfrac{V}{16} \times 3 = V[/tex]

Simplifying gives;

[tex]\dfrac{(2\cdot t +7) \cdot V}{16} = V[/tex]

2·t + 7 = 16

t = (16 - 7)/2 = 4.5 minutes

Therefore, it took 4.5 seconds of the restricted flow before the the flow of water in the two pipes became normal

hope the answer above helped bro! it helped me!

Match each function formula with the corresponding transformation of the parent function y = 3x
1. y = -3^ x Translated up by 1 unit 2.
2.y = 3^ -x Reflected over the y-axis 3.
3.y = 3 ^x - 2 Translated right by 2 units 4.
4. y = 3 ^x + 1 Translated down by 2 units 5.
5. y = 3^ x + 1 Translated left by 1 unit 6.
6. y = 3 ^x - 2 Reflected over the x-axis


Everything is exponents of the three except the -2 at the end and the 4th one is also +1 not an exponent

Answers

Answer:

1. y = -3^ x Translated up by 1 unit 2.

2.y = 3^ -x Reflected over the y-axis 3.

3.y = 3 ^x - 2 Translated right by 2 units 4.

4. y = 3 ^x + 1 Translated down by 2 units 5.

5. y = 3^ x + 1 Translated left by 1 unit 6.

6. y = 3 ^x - 2 Reflected over the x-axis

Step-by-step explanation:

Jen go to the skate park every other day Terry go to skate park every third date Carlos goes to the skate park only on Mondays and Tuesdays today is Monday, June 3 and all the kids are at the skate park on what day would they all be at the skate park again

Answers

Answer: Tuesday, July 9 (correct me if I'm wrong)

Step-by-step explanation:

Jen goes every other day, so she goes every odd day.

Terry goes every third day, so Jen and Terry go together every six days.

Six days later is Sunday June 9, then Saturday June 15, then Friday Jun 21, then Thursday June 27, then Wednesday July 3.

Carlos only comes Mondays and Tuesday, so the next six days would be Tuesday July 9.

All the kids would be at the park on Tuesday. June 9th. Jen would be there the 5th, 7th, and 9th and terry would be there the 6th & 9th. The ninth would be a Tuesday so Carlos would be there too. So everyone would be there on Tuesday
Other Questions
The removal of sections of RNA, called introns, occur at which regulation step in eukaryotic cells? (1 point)o mRNA life spanO post-translationO RNA processingochromatin remodeling If the distribution of water is a natural monopoly, then:__________. a. a single firm cannot serve the market at the lowest possible average total cost. b. allowing for competition among different firms in the water-distribution industry is efficient. c. average cost increases as the quantity of water produced increases. d. multiple firms would likely each have to pay large fixed costs to develop their own network of pipes. Differentiate between team and teamwork What caused the Western Roman Empire to fall? There was no single cause, and no sudden fall. Romes decline took place over many years, and was the result of many factors. Write a short essay that briefly describes the factors that led to the decline and fall of the Western Roman Empire. The common difference of an ap is -2 find its sum of first term is hundred and last term is -10 with full solution Drag each feature to the correct category.Identify the groups in favor of the abolition of slavery and those against it.abolitionists in theUnited Statesfugitive slavesslave traderscotton plantationowners of the southernUnited StatesFor AbolitionAgainst Abolition Question 2 of 10What is the slope of the line x = 3? 16We made the gardener.............. out the grass.(1 Point)O a. to cutb. cutc. cuttingO d. cut Consider the image of our solar system. Based on your knowledge of gravitational attraction, which planet has the largest gravitational force? A) Earth B) Jupiter C) Mercury D) Neptune Why is civic participation important for a functioning democracy? A. It encourages people to pay taxes regularly. B. It involves people improving their communities. C. It improves trade relations with neighboring countries. D. It encourages people to spend more. Two narrow slits are illuminated by a laser with a wavelength of 593 nm. The interference pattern on a screen located x = 4.80 m away shows that the fourth-order bright fringe is located y = 8.20 cm away from the central bright fringe. Calculate the distance between the two slits. In Peter Henry Emmersons handbook ________________ (1889), he outlined a system of aesthetics. He decreed that a photograph should be direct and simple and show real people in their own environment, not costumed models posed before fake backdrops or other such predetermined formulas. Find the polynomial for the area.The area is what is paradigm? why are a paradigm needed? plz explain. Which sentence is punctuated correctly? (5 points) a In first-period biology class we learned that, the ecosystem, is a fragile and sensitive thing. b The freshmen, were excited to hear about extra-credit opportunities in their algebra class. c Getting her license proved to be more difficult and tricky, than she thought it would be. d In order to serve students best, school districts need to ask for additional funding. Claim: Students should be required to wear schooluniforms.Which statement is an example of a reasonable counterclaim to this claim?A. Bullying is a big problem in most public high schools today.B. School uniforms are expensive and unaffordable for manystudents.C. The use of smartphones should also be banned in public highschools.D. Students who wear uniforms to school are almost never late toclass. The UCC will permit an incomplete or slightly ambiguous contract to be enforced using each of the following criteria except: Multiple Choice industry standards or norms. correspondence or verbal exchanges between the parties. past commercial conduct. judicial input of any terms necessary to maintain fairness. Match each historian with his or her achievement. Tiles Gerda Lerner W. E. B. Dubois Herodotus Simon Schama Ibn Khaldun Explain where you would find the actual yield and the theoretical yield needed to calculate the percent yield of a reaction. Is the answer listed above the theoretical or actual yield? 4. A car is priced at $7200. The car dealer allows a customer topay a one-third deposit and 12 payments of $420 per month.How much extra does it cost the customer?