A rectangle has a height of 4x^3 and a width of x3+3x^2+2x.
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.

The constant of proportionality is 28.2.

It should be noted that the miles driven and the number of gallons used has been given.

Therefore, the constant of proportionality will be:

= Miles driven / Gallons used

= 930.6 / 33

= 28.2

Therefore, the constant of proportionality is 28.2.

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Answer: 36

Step-by-step explanation: the reason why is that if each hour there is 12 commercials then by the third hour there will be 36 we can also use multiplication 12x3=36  I hope that helps

The coins that represent the 20 5 of her coins that is 280 are 56 coins.

We know that:

Fatoumata has a collection of 280 coins.

Now, we need to tell how many coins will be its 20 %.

For this we will calculate 20 percent of 280

So, number of coins = N will be:

N = 20 % of 280

N = 20 % × 280

N = 20 / 100 × 280

N = 2 × 28

N = 56 coins

Therefore, we get that, the coins that represent the 20 5 of her coins that is 280 are 56 coins.

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Answer: 120 miles

Step-by-step explanation:

      We will set up a proportion to solve.

 Set up a proportion:

[tex]\displaystyle \frac{5\text{ inches}}{10\text{ miles}} =\frac{60\text{ inches}}{x\text{ miles}}[/tex]

 Cross-multiply:

5 * x = 60 * 10

 Multiply:

5x = 600

 Divide both sides by 5:

x = 120 miles

The construction of two congruent angles using a scale and compass can be done by applying the prerequisite knowledge of construction.

What is an angle?

A geometrical figure formed by using two rays, which are known as the sides of angle. These sides share a common vertex. Angle can be of various types including acute, obtuse, reflex,  right, etc.

Explanation of constructing an angle using a scale and compass that is both congruent

Start drawing a line with the scale

Then, using this line or edge of the given angle to construct another corner, with the same vertex, let's call it O

Mark an arc across the sides of the corner using compass

Name the points as A and B, where the arc intersects and extend that arc beyond B

Open the compass to length of AB by setting it to the point B, and then mark an arc that intersects the first arc at point C.

Forthwith, wwe have two congruent components, AB = BC.

As the distance is OA = OB = OC, therefore, ∠AOB and ∠BOC are congruent.

Hence, this is the way of constructing congruent angles using a scale and a compass.

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Ralf receives total amount of 38$.

Susie receives total amount of 19$.

Raff gets 2x

Suzie gets x

2x + x = 57 dollars

3x = 57 dollars

x = 19 dollars

2x = 38 dollars

Aggregation attempting to calculate the time it will take by looking at the overall number or quantity.

To sum up to a total is the definition of amount. A restaurant bill for four individuals that totals $50 is an example of the costs of four meals that come to $50.

To achieve success or importance. The words "amount to anything" or "amount to something," which both indicate the same thing, are almost always used.

Amount can be a noun or a verb, as was said above. Use of the noun: Add a little water to the dish. The quantity of food required vary each dog. It is three bucks and change, to be exact.

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Answer:

"Wooden leg" is the correct answer.

Answer:

2c < 20

Step-by-step explanation:

$2 is the price per cookie so 2c is per every cookie, you multiply by 2 to get the price.

Ana only has $20 so the amount of money she spends has to be less then 20 so the inequality would be 2c < 20

Classify the number -25.

Natural, Whole, Integer, Rational, Irrational.

25 is a rational number. This number is a whole that may be expressed as the fraction 25/1.

This wouldn't be a natural number because -25 is a negative number.

Since -25 isn't a positive number, this wouldn't be a whole number.

the whole number 85 is -85, which is a negative number. -85 is consequently an integer. Negative numbers are rational numbers.

square integers are frequently irrational, -25 is a square root.

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Answer:

y

Step-by-step explanation:

x^(-7) * x^7 * y^(-6)/y^(-7)=

x^(-7+7) * y^(-6-(-7))=

x^0 * y^(-6+7)=

1 * y^(7-6)=

y^1=y

Answer:

1. 47
2. 4

Step-by-step explanation:

1. 4a + 5b

4(8) + 5 (3)

32+ 15
=47

2. 3a/2b
3(8)/2(3)
24/6
=4

Answer:

Step-by-step explanation:

[tex]A=LWH\\[/tex]

Divide both parts of the equation by LW:

[tex]\displaystyle\\\frac{A}{LW} =H\\\\Thus,\\\\H=\frac{A}{LW}[/tex]

how do you not know how to do this

0.17 times 185 = $136.9 or $137

(0.74 is not 1 mile)

Answer:

$31.58

Step-by-step explanation:

Reimburse for 1 mile,

→ $0.17

Then reimbursement for 185.74 miles,

→ 185.74 × 0.17

→ 31.5758

→ $31.58

Hence, the answer is $31.58.

Answer: 2y-13

Step-by-step explanation: 2y => double of lenght
-13 => less than

Answer: 44

Step-by-step explanation: basically replace b with 6 and a with 4 in the expression 8b-a, which turns out to be 8(6)-(4). We're subtracting 4 from the product of 8(6), which is 48. 48-4 = 44

Answer: hi! for the denominators (5, 9, 7) the least common multiple

Step-by-step explanation:

(LCM) is 315.

LCM(5, 9, 7)

Therefore, the least common denominator (LCD) is 315.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

3/5 = 3/5 × 63/63 = 189/315

4/9 = 4/9 × 35/35 = 140/315

6/7 = 6/7 × 45/45 = 270/315

The coordinates of B is (1,-3) .

It is given that midpoint of AB is (3, -1) and coordinates of A is (5, 1) .

Let the coordinate of B be (x, y) .

By using midpoint formula , we get

[tex](3, -1)=(\frac{5+x}{2} , \frac{y+1}{2} )\\[/tex]

On comparing , we get the x- coordinate

   [tex]\frac{5+x}{2} =3\\\5+x=6\\x=1[/tex]

On comparing , we get the y- coordinate

[tex]\frac{1+y}{2} =-1\\\\1+y=-2\\y=-3[/tex]

Hence , the coordinates of B is (1,-3) .

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Three variable p, q and r that is true when at most one of the three variables is true.

How do you identify a proposition?

Atmost means maximum.

We have three variables: p,q and r. Maximum one of the three variable is true. However we dont know which variable is true.

Case 1: No variable is true :  ¬p ∧¬q∧¬r

Case 2 : p variable is true:  p ∧¬q∧¬r

Case 3: q variable is true : ¬p ∧q∧¬r

Case 4 : r variable is true : ¬p ∧¬q∧r

One of the 4 cases has to be true . Thus Case1 or Case 2 or Case3 or Case 4 is true. So we need to take comjuction of the propsitions in each case.

(¬p ∧¬q∧¬r) v  (p ∧¬q∧¬r) v (¬p ∧q∧¬r) v (¬p ∧¬q∧r)

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300 teenagers went to the zoo.

given that

Tickets to the zoo cost $4 for children.

Tickets to the zoo cost $5 for teenagers.

Tickets to the zoo cost $6 for adults.

1200 people come to the zoo every day.

on a certian day, the total revenue at the zoo was $5300.

Let the number of adults be x.

The number of teenagers be y.

and the number of children that went to the zoo 8y/3.

Consider the question

1200 people come to the zoo every day.

x + y + 8y/3 = 1200

now, take L.C.M between y and 8y/3

[tex]x + \frac{(3y + 8y)}{3} = 1200 \\ x + \frac{11y}{3} = 1200[/tex]

now multiply with 3 to this equation.

3x + 11y = 3600 .......................(1)

tickets to the zoo cost $4 for children, $5 for teenagers and $6 for adults.

according to the question

6x + 5y + 32y/3 = 5300

Now take the L.C.M between 5y and 32y/3

6x + 47y/3 = 5300

now multiply with 3 to this equation.

18x + 47y = 15900 ...................(2)

now, multiply equation (1) with 6

18x + 66y = 21600 .....................(3)

now, subtract equation (1) in equation (2)

(18x - 18x) + (66y - 47y) = (21600 - 15900)

19y = 5700

y = 5700/19

y = 300

Hence, the 300 teenagers went to the zoo.

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The value of r is 11°

From the information given, we have that;

Both angles are complementary angles.

It is important to note that complementary angles sum up to 90 degrees

Then, we have;

52 ° + 4r - 6° = 90°

collect like terms

4r + 46° = 90 °

4r = 90 - 46

4r = 44

Make 'r' the subject of formula

Divide both sides by 4

4r/4 = 44/4

r = 11°

Thus, the value of r is 11°

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Answer:

Can I see the diagram?

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

[tex]3x-1=3x+1\\=3x-1-3x=3x+1-3x\\-1=1[/tex]

Due to the fact that the sides are unbalanced, the equation has no true solution.

Answer:

no answer

Perhaps: E -45

Step-by-step explanation:

(2x + 4) = 14

2x + 4 = 14

2x = 10

x = 5

This equation has only 1 solution.

There cannot be the product of the "solutions" when there is only 1 solution.

Perhaps you meant this (absolute value, not parentheses):

What is the product of the solutions to the equation?

|2x +4| = 14

A 45

B 81

C 0

D -81

E -45

|2x + 4| = 14

2x + 4 = 14 or 2x + 4 = -14

2x = 10  or  2x = -18

x = 5 or x = -9

The product of 5 and -9 = -45

Answer: E -45

The statement describing the graph of h(x) is "The graph of h(x) is a vertical translation of the graph of g(x) down 3 units".

In the question, are given two graphs g(x) = - (1/2)x + 6, and h(x) = g(x) - 3.

We are asked for the statement that best describes h(x).

Now, h(x) = g(x) - 3, can be seen as  the translation of g(x).

For any graph m(x), n(x) is its translation if n(x) = m(x + p) + q.

The translation is vertical is q ≠ 0, and horizontal when p ≠ 0. Also,

For, h(x) = g(x) - 3, when we compare it with n(x) = m(x + p) + q, we have p = 0, and q = -3.

Since, q ≠ 0, we have vertical translation, and since q < 0, the translation is |q| units down.

Thus, The statement describing the graph of h(x) is "The graph of h(x) is a vertical translation of the graph of g(x) down 3 units".

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The provided question is incomplete. The complete question is:

"Let g(x) = - (1/2)x + 6 and h(x) = g(x) - 3. Which statement describes the graph of h (x)?

Answer:

w - 13.

Step-by-step explanation:

Change in weight

= w - 3(6) + 5   where w is her original weight.

= w - 18 + 5

= w - 13.

The solid that results from increasing the number of sides infinitely is; Close to a Cone

We want to describe the solid that results if the number of sides of each base increases infinitely. The bases of each solid are regular polygons inscribed in a circle.

Now, given a pyramid, when its base is a regular polygon whose number of sides increases infinitely, the base gets closer and closer to the shape of a circle, and therefore the solid will be close to a cone.

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The angles are 60°, 55°, and 65°.

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Answer:

b ≤ 6

This inequality matches the statement, "b is less than or equal to 6."

This is because the sign < tell us that b is going to be less 6, and the line _ tells us that the solution can also be equal to 6.

1.x=5

2.x=-2

3.x=3

4.x=12

5.x=2

6.x=-1

7.x=4

8.x=-5

9.x=1

10.x=-8

Pls correct me on any of these if I made a mistake