The length of a rectangle is 5 m less than twice the width, and the area of the rectangle is 52m ^ 2 . Find the dimensions of the rectangle.

Answers

Answer 1

The dimension of the rectangle is 8m by 6.5m respectively

Area of a rectangle

The formula for calculating the area of a rectangle is expressed as;

A =lw

If the length of a rectangle is 5 m less than twice the width, then;

l = 2w - 5

Substitute

A = w(2w-5)

52 = 2w² - 5w

2w² - 5w = 52

2w² - 5w - 52 = 0

(2w−13)(w+4)=0

Step 2: Set factors equal to 0.

2w−13=0 or w+4=0

w =13/2 or 6.5m

Determine the length

l = 2w - 5

l = 2(6.5) - 5

l = 13 - 5

l =8m

Hence the dimension of the rectangle is 8m by 6.5m respectively

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Related Questions

HELP MATH ASAP PLEASE
I WILL GIVE BRAINLEST

Answers

Answer:

The answer is D

Step-by-step explanation:

A survey showed that 7/15 of a class liked soccer and 2/5 liked baseball. Which sport was liked less?

Answers

Answer:

baseball my guy

Step-by-step explanation:QUICK MATHS

Answer: baseball is liked less

Step-by-step explanation: its liked less because the common denominator is 15 and whatever you times the bottom by you times the top by. so 2/5 x 3= 6/15<7/15 hope that helped!:)

HEEEEELP I IS TTTTTTIIIIIMMMMMEEEEEDDDD
What is the shape of the cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases?

A triangular prism.
a parallelogram that is not a rectangle
a rectangle
a triangle that must have the same dimensions as the bases
a triangle that may not have the same dimensions as the bases

Answers

Answer:

b

Step-by-step explanation:

Answer:

I dink Bs

Step-by-step explanation:

How many servings of
cups are in 5 cups of ice cream?​

Answers

Answer:

5

Step-by-step explanation:

2p^2+p-4=0
Can someone please help and show how you did it I am not understanding this thank you so much

Answers

See the attached picture:

Find the value of k ,if x=2 and y=3.Find the equation of 2x+3y=k

Answers

Answer:

k=13

Step-by-step explanation:

substitute x and y

4+9=k

k=13

Answer:

13

Step-by-step explanation:

Plug in the given x and y values: 2(2) + 3 (3) = k

Then multiply 4 + 9 = k

Then add 13 = k

never mind LOL i got it

Answers

Answer:

C.

Step-by-step explanation:

Adjacent / Hypotenuse = 24 / 25

Which expression is equivalent to 2(5 − 3x)?

Answers

Answer:

10-6x

Step-by-step explanation:

Hope this helped, have a great day! (mark brainliest if you want to help XD)

Answer:

10 - 6x

as 2 x 5= 10

and 2 x 3 = 6

10 - 6x

Step-by-step explanation:

not good with these someone should help me:( picture included

Answers

Answer:

Volume=2/6cu.ft

Step-by-step explanation:

.........................

option B

A square unit that is 1 unit wide and 1 unit long is a?

Answers

Answer:

A square with side length 1 unit, called 'a unit square,' is said to have 'one square unit' of area, and can be used to measure area.

A square picture with a side length of 4 inches needs to be enlarged. The final area needs to be 81 square inches. Which equation can be used to solve for x, the increase in side length of the square in inches? x2 + 4x – 81 = 0 x2 + 4x – 65 = 0 x2 + 8x – 65 = 0 x2 + 8x – 81 = 0

Answers

Answer:

C) x2 + 8x – 65 = 0

Step-by-step explanation:

just took it :)

Answer:

c

Step-by-step explanation:

the company shows that its median listing is $150,000. if the range of the listings is $50,000, is it possible for the company to have a house listed for $200,000?

Answers

Answer:

no

Step-by-step explanation:

1. If 5tanA=4, Find the value of (5sinA-3cosA)/(4cosA+5sinA)
2. Solve for θ, sinθ/(1+cosθ) + (1+cosθ)/sinθ =4, 0°<θ<90°
3. Prove that tan⁡〖θ-cot⁡θ 〗 = (〖2sin〗^2 θ-1)/sinθcosθ
4. Without using trigonometric tables ,show that
tan 10°tan15°tan75°tan80°=1
5. If x=acosθ-bsinθ and y=asinθ + bcosθ prove that x^2+y^2=a^2+b^2

Answers

Answer:

1. (5·sin(A) - 3·cos(A)/(4·cos(A) + 5·sin(A))  = 1/8

2. θ = 30°

3. tan(θ) - cot(θ) = (2·sin²(θ) -1)/((cos(θ)×sin(θ))

from tan(θ) - 1/tan(θ) = sin(θ)/cos(θ) - cos(θ)/sin(θ) and sin²(θ) +  cos²(θ) = 1

4. tan10°·tan15°·tan75°·tan80°= 1 from;

sin(α)·sin(β) = 1/2[cos(α - β) - cos(α + β)]

cos(α)·cos(β) = 1/2[cos(α - β) + cos(α + β)]

5. x² + y² = a² + b² where x = a·cosθ - b·sinθ and y = a·sinθ + b·cosθ from;

cos²θ + sin²θ = 1

Step-by-step explanation:

1. Here we have 5·tan(A) = 5·sin(A)/cos(A) = 4

∴ 5·sin(A) = 4·cos(A)

Hence to find the value of (5·sin(A) - 3·cos(A)/(4·cos(A) + 5·sin(A)) we have;

Substituting the value for 5·sin(A) = 4·cos(A) into the above equation in both the numerator and denominator we have;

(4·cos(A) - 3·cos(A)/(4·cos(A) + 4·cos(A)) = cos(A)/(8·cos(A)) = 1/8

Therefore, (5·sin(A) - 3·cos(A)/(4·cos(A) + 5·sin(A)) = 1/8

2. For the equation as follows, we have

[tex]\frac{sin \theta}{1 + cos \theta} + \frac{1 + cos \theta}{sin \theta} = 4[/tex] this gives

[tex]\frac{2sin (\theta/2) cos (\theta/2) }{2 cos^2 (\theta/2)} + \frac{2 cos^2 (\theta/2)}{2sin (\theta/2) cos (\theta/2) } = 4[/tex]

[tex]tan\frac{\theta}{2} + \frac{1}{tan\frac{\theta}{2} } = 4[/tex]

[tex]tan^2\frac{\theta}{2} + 1 = 4\times tan\frac{\theta}{2}[/tex]

[tex]tan^2\frac{\theta}{2} - 4\cdot tan\frac{\theta}{2} + 1 = 0[/tex]

We place;

[tex]tan\frac{\theta}{2} = x[/tex]

∴ x² - 4·x + 1 = 0

Factorizing we have

(x - (2 - √3))·(x - (2 + √3))

Therefore, tan(θ/2) = (2 - √3) or (2 + √3)

Solving, we have;

θ/2 = tan⁻¹(2 - √3) or tan⁻¹(2 + √3)

Which gives, θ/2 = 15° or 75°

Hence, θ = 30° or 150°

Since 0° < θ < 90°, therefore, θ = 30°

3. We have tan(θ) - cot(θ) = tan(θ) - 1/tan(θ)

Hence, tan(θ) - 1/tan(θ) = sin(θ)/cos(θ) - cos(θ)/sin(θ)

∴  tan(θ) - 1/tan(θ) = (sin²(θ) -  cos²(θ))/(cos(θ)×sin(θ))...........(1)

From sin²(θ) +  cos²(θ) = 1, we have;

cos²(θ) = 1 - sin²(θ), substituting the value of sin²(θ) in the equation (1) above, we have;

(sin²(θ) -  (1 - sin²(θ)))/(cos(θ)×sin(θ)) = (2·sin²(θ) -1)/((cos(θ)×sin(θ))

Therefore;

tan(θ) - cot(θ) = (2·sin²(θ) -1)/((cos(θ)×sin(θ))

4. tan10°·tan15°·tan75°·tan80°= 1

Here we have since;

sin(α)·sin(β) = 1/2[cos(α - β) - cos(α + β)]

cos(α)·cos(β) = 1/2[cos(α - β) + cos(α + β)]

Then;

tan 10°·tan15°·tan75°·tan80° = tan 10°·tan80°·tan15°·tan75°

tan 10°·tan80°·tan15°·tan75° = [tex]\frac{sin(10^{\circ})}{cos(10^{\circ})} \times \frac{sin(80^{\circ})}{cos(80^{\circ})} \times \frac{sin(15^{\circ})}{cos(15^{\circ})} \times \frac{sin(75^{\circ})}{cos(75^{\circ})}[/tex]

Which gives;

[tex]\frac{sin(10^{\circ}) \cdot sin(80^{\circ})}{cos(10^{\circ})\cdot cos(80^{\circ})} \times \frac{sin(15^{\circ}) \cdot sin(75^{\circ})}{cos(15^{\circ})\cdot cos(75^{\circ})}[/tex]

[tex]=\frac{1/2[cos(80 - 10) - cos(80 + 10)]}{1/2[cos(80 - 10) + cos(80 + 10)]} \times \frac{1/2[cos(75 - 15) - cos(75 + 15)]}{1/2[cos(75 - 15) + cos(75 + 15)]}[/tex]

[tex]=\frac{1/2[cos(70) - cos(90)]}{1/2[cos(70) + cos(90)]} \times \frac{1/2[cos(60) - cos(90)]}{1/2[cos(60) + cos(90)]}[/tex]

[tex]=\frac{[cos(70)]}{[cos(70) ]} \times \frac{[cos(60)]}{[cos(60) ]} =1[/tex]

5. If x = a·cosθ - b·sinθ and y = a·sinθ + b·cosθ

∴ x² + y² = (a·cosθ - b·sinθ)² + (a·sinθ + b·cosθ)²

= a²·cos²θ - 2·a·cosθ·b·sinθ +b²·sin²θ + a²·sin²θ + 2·a·sinθ·b·cosθ + b²·cos²θ

= a²·cos²θ + b²·sin²θ + a²·sin²θ + b²·cos²θ

= a²·cos²θ + b²·cos²θ + b²·sin²θ + a²·sin²θ

= (a² + b²)·cos²θ + (a² + b²)·sin²θ

= (a² + b²)·(cos²θ + sin²θ) since cos²θ + sin²θ = 1, we have

= (a² + b²)×1 = a² + b²

Select all of the following expressions that require use of the distributive property to simplify.
√5(-√2)
√5(√7-√2)
(√5+√2)(-√7)
(3√5)(-7√2)

Answers

Answer:

√5(√7-√2)

(√5+√2)(-√7)

Step-by-step explanation:

The Distributive Property:

a ( b + c ) = ab + ac

Where a, b and c are any real numbers.

The given options the correct expressions that require the use of the distributive property to simplify are √5(√7-√2) and

(√5+√2)(-√7)

Distributive property

Given the integers A, B, and C. According to the distributive property;

A(B + C) = AB + AC

From the expression, you can see that A is distributed over B and C

So for distributive property, there must be a factor and the sum of terms in parenthesis. Based on the given options the correct expressions that require the use of the distributive property to simplify are √5(√7-√2) and

(√5+√2)(-√7)

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What is the volume of a sphere with a radius of 41 in, rounded to the nearest tenth of a cubic inch?

Answers

Volume = 288695.6 in³

Step-by-step explanation:

Volume of a sphere is given by

[tex]V = \frac{4}{3} \pi {r}^{3} [/tex]

Where r is the radius of the sphere

From the question

radius = 41 in

Substitute the value into the above formula

We have

[tex]V = \frac{4}{3} \times {41}^{3} \pi[/tex]

[tex] = \frac{275684}{3} \pi[/tex]

= 288695.6097

We have the final answer as

Volume = 288695.6 in³ to the nearest tenth

Hope this helps you

The answer on deltamath is

288695.6 in³

It takes my father 3 hours to plow our cornfield with his new tractor. Using the old tractor it takes me 5 hours. If we both plow for one hour before I go to school, how long will it take him to finish the plowing?

Answers

It takes my Father 3 hours to plow the our cornfield with his new tractor.

Using the old tractor it takes me 5 hours.

If we both plow for 1 hour before I go to school,how long will it take him to finish

:

let t = time Dad plows after he goes to school

:

Let the completed job = 1; (a plowed field)

:

A shared work equation

%28%28t%2B1%29%29%2F3 + 1%2F5 = 1

Multiply by 15, results

5(t+1) + 3 = 15

5t + 5 + 3 = 15

5t = 15 - 8

t = 7%2F5

ANSWER

t = 1.4 hrs or 1 + .4(60) = 1 hr 24 more minutes to finish

hope this helps :)

Jackson and Xavier are both solving the multiplication 0.8 x 5. Jackson gets 4 as a solution, and Xavier gets 0.4. Xavier said to Jackson, "Your answer of 4 can't be right for 0.8 x 5. You need a decimal point because a product always has the same number

Answers

Answer:

Jackson

0.8×5=4

Xavier

0.8×5=0.4

If Xavier said to Jackson that his answer of 4 can't be right.

Jackson needs a decimal point because a product always have the same answer.

Then,

Xavier is right with his sayings but wrong with the answer of 0.4

The correct answer is 4.0

The decimal point should be counted from the back not from the front as Xavier did

Unit 6. 2) Please help. What is the probability that a student is absent given that today is Monday?

Enter your answer as a fraction in simplest form, formatted like this: 3/14

Answers

Answer:

Let's denote:

The probability that today is Monday: P(A)

The probability that a student is absent: P(B)

The probability that a student is absent given that day is Monday: P(B|A)

As given,

P(A intersect B) = 3/100

P(A) = 1/5

=> P(B|A) x P(A) = P(A intersect B)

=> P(B|A) = P(A intersect B)/P(A)  = (3/100)/(1/5) = 15/100 = 3/20

Hope this helps!

:)

Enunciado: Traza la gráfica de la función. Traza también la gráfica de la asíntota, si es distinta al eje de x o al eje y. Define el Rango y el Dominio. h(x)=log(1/3) x

Answers

Answer:

The given function is

[tex]h(x)=log_{\frac{1}{3} } (x)[/tex]

It's important to know that logarithms are the opposite function to exponentials, which means their domains and ranges are defined the opposite way.

The domain of logarithms is restricted, because negative numbers or the zero is not allowed in their domains. So, the domain of this function is: [tex]D:(0, infinite][/tex]

On the other hand, its range is not restricted, so it's defined: [tex]R: (infinite, -infinite)[/tex]

The image shows the graph of this function, there you can observe its domain and range set definitions.

Find the volume of the square pyramid shown. Round to the nearest whole number. The diagrams are not drawn to scale.
12.
9 cm
(1 point)
13 cm
13 cm
507 cm3
351 cm3
39 cm3
O 761 cm

Answers

The volume of the square pyramid having base edge and height as [tex]13[/tex] [tex]cm[/tex] and [tex]9[/tex] [tex]cm[/tex] respectively is [tex]507[/tex] [tex]cm^{3}[/tex].

Volume of a square pyramid

Volume [tex]=\frac{1}{3}[/tex] × (base area) × (height)

How to find the volume of a square pyramid?

First, find the area of the square base

Given, the edge of the square base  [tex]=13 cm[/tex]

Then, the area of the square base [tex]=13^{2}=169cm^{2}[/tex]

Given, the height of the square pyramid [tex]=9cm[/tex]

Now, apply the volume formulae

Volume [tex]=\frac{1}{3}[/tex] × [tex]169[/tex] × [tex]9=507cm^{3}[/tex]

Hence, the volume of the square pyramid is [tex]507cm^{3}[/tex].

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why is tesla stock increasing/decreasing in value

Answers

Answer:

elon musk

Step-by-step explanation:

elon sends out random, uncalled for tweets, which mess with the stock value.

For example, when the stock was very high, he tweeted,"Tesla stock too high"

Elon Musk

As the CEO of Tesla anything he does can count for or against him. Ages 24 to 54 are the most common age group who buy cars, so if Elon were to make a tweet or public statement that could affect these people it could interest people in Tesla’s since he has a lot of influence of the company.

Which equation could Sameer use to solve for the value of n if n + 13 = 17?

Answers

Answer:

n = 17-13

Step-by-step explanation:

n+13=17

Subtract 13 from each side

n+13-13 = 17-13

n = 17-13

But The aquarium charges $12 per ticket for adults and $5per ticket for children. A group of 90 children and adult chaperones visited the aquartum on a held trip. If the total cost of their tickets was $548, how mamy chaperones were there?

Answers

Answer:

There were 76 childrens and 14 adults.

Step-by-step explanation:

Since the group has a total of 90 children and adults, then the sum of the number of adults with the number of children must be equal to 90 as shown below:

children + adults = 90

Since the total cost for their tickets was 548 then the number of children multiplied by the price of their ticket summed by the number of adults multiplied by the price of their ticket must be equal to that. We have:

5*children + 12*adults = 548

With these two equations we have a system of equations shown below:

children + adults = 90

5*children + 12*adults = 548

In order to solve this we will multiply the first equation by -5, and sum both equations we have:

-5*children - 5*adults = -450

5*children + 12*adults = 548

7*adults = 98

adults = 98/7 = 14

children + 14 = 90

children = 90 - 14 = 76

There were 76 childrens and 14 adults.

the graph of the invertible function ggg is shown on the grid below.

What is the value of g^-1(7)

Answers

Answer:

[tex]g^{-1} (7)=5[/tex]

Step-by-step explanation:

We are asked to find [tex]g^{-1} (7)[/tex].

One thing to remember about the inverse of a function is what exactly an inverse means.

If we have the ordered pair [tex](a,b)[/tex] of function [tex]g[/tex], then the corresponding ordered pair of [tex]g^{-1}[/tex] would be [tex](b,a)[/tex].

As we are asked to find [tex](7,b)[/tex] of  [tex]g^{-1}[/tex], we can instead find [tex](b,7)[/tex] of [tex]g[/tex].

This means that we are looking for where [tex]g(b)=7[/tex].

From the graph, we can see that for this to be true, [tex]b=5[/tex]

This means that [tex]g^{-1} (7)=5[/tex]

The value of g^-1(7) is 5.

What is the value of g^-1(7)?

What is invertible function?

A function f from a set X to a set Y is said to be invertible if for every y in Y and x in X, there exists a function g from Y to X such that f(g(y)) = y and g(f(x)) = x. function is invertible only if each input has a unique output. That is, each output is paired with exactly one input. That way, when the mapping is reversed, it will still be a function.

Given that:

One thing to remember about the inverse of a function is what exactly an inverse means.

If we have the ordered pair (a, b) of function g , then the corresponding ordered pair of g^-1 would be (b, a).

As we are asked to find (7,b)  of  g^-1, we can instead find (b, 7) of g .

This means that we are looking for where  g(b)=7.

From the graph, we can see that for this to be true, b=5.

So, the value of g^-1(7) is 5.

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Which equation is true for x = –6 and x = 2?

2x2 – 16x + 12 = 0
2x2 + 8x – 24 = 0
3x2 – 4x – 12 = 0
3x2 + 12x + 36 = 0

Answers

Answer:

2x2 + 8x – 24 = 0

Step-by-step explanation:

[tex]2 {x}^{2} + 8x - 24 = 0 \\ lhs \\ =2 {x}^{2} + 8x - 24 ..(plug \: x = - 6) \\ 2 {( - 6)}^{2} + 8( - 6) - 24 \\ = 72 - 48 - 24 \\ 72 - 72 \\ = 0 \\ = rhs \\ \\ lhs \\ =2 {x}^{2} + 8x - 24 ..(plug \: x = 2) \\ 2 {( 2)}^{2} + 8( 2) - 24 \\ = 8 + 16 - 24 \\ 24 - 24 \\ = 0 \\ = rhs \\ [/tex]

It’s will be 2x2 + 8x - 24 = 0 !!!

kadeem and quinn both drive 25 miles. Kadeem drives at a constant speed of 50 miles an hour. Quinn drives at a constant speed of 75 miles an hour. Who takes longer to drive the 25 miles? How much loner?

Answers

Answer:

I believe it is Kadeem who takes longer by 10 minutes.

Step-by-step explanation:

A person whose speed is slow will take longer to reach so Kadeem takes longer by 0.5 hours.

Given that,
Kadeem and Quinn both drive 25 miles.
Kadeem drives at a constant speed of 50 miles an hour.
Quinn drives at a constant speed of 75 miles an hour.
To determine who takes longer to drive the 25 miles.

What is Distance?

Distance is defined as the object traveling at a particular speed in time from one point to another.

Here,
Time is taken by Kadeem to reach 25 miles with a speed of 25 miles per hour
= 25 / 50 = 0.5 hour

Time is taken by Quinn to reach 25 miles with a speed of 75 miles per hour,
= 25 / 75 = 0.34 hour

Thus, a person whose speed is slow will take longer to reach so Kadeem takes longer by 0.5 hours.

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How to use Cosine to calculate the side of a right triangle?

Answers

Answer:

Cosine is Adj/Hyp

a simple trick i use when doing these kind of problems is first finding the sides. If you only know the Hypotenuse then you multiply that with the cos(x) or whatever angle it is. If you only know Adjacent then you divide the adjacent with the Cos(x) and you get the answer

Step-by-step explanation:

You arrive in my class 45 seconds after leaving math which is 90 meters away. How fast did you travel?

Answers

Answer:

2 m/s=90 meters/45 seconds

Which of the following equations have exactly one solution?
Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
-19x-18=-19x+18−19x−18=−19x+18minus, 19, x, minus, 18, equals, minus, 19, x, plus, 18

(Choice B)
B
-19x+18=-19x+18−19x+18=−19x+18minus, 19, x, plus, 18, equals, minus, 19, x, plus, 18

(Choice C)
C
19x-18=-19x+1819x−18=−19x+1819, x, minus, 18, equals, minus, 19, x, plus, 18

(Choice D)
D
19x+18=-19x+1819x+18=−19x+18

Answers

Answer:

Options C and D.

Step-by-step explanation:

Choice (A).

-19x - 18 = -19x + 18

Here we are equating two equations,

y = -19x - 18

y = -19x + 18

Since slopes of these equations are same as (-19), both are parallel.

Therefore, there is no solution for the given system of equations.

Choice (B)

-19x + 18 = -19x + 18

Equations are,

y = -19x + 18

y = -19x + 18

Since both the equations represent the same line, so the system of equations will have infinite solutions.

Choice (C)

19x - 18 = -19x + 18

System of equations is,

y = 19x - 18

y = -19x + 18

Slopes of both the lines are different (19 and -19)

Therefore, the system of equations will have exactly one solution.

Choice (D)

19x + 18 = -19x + 18

System of equations is,

y = 19x + 18

y = -19x + 18

This system of equations have the different slopes.

Therefore, the system of equations will have exactly one solution.

Answer:

It got B and D

Step-by-step explanation:

....

......

sorry if it’s wrong

actauloy edit there is two of them and one of them is this answer and one of them is another one so take your luck and make sure to match up the numbers

The angle of depression from a roof of a building to a car is 75°. If the roof is 12 m above
the level of the car, then the distance of the car from the building is closest to:
(A) 3.11 m
(B) 3.22 m
(C) 11.59 m
(D) 12.42 m

Answers

I think the answer is (C) I’m sorry if I am wrong.
Other Questions
Why are "Outer planets" also called gas giants? A hydrate is typically a crystalline compound in which water molecules are chemically bound to another compound or an element. When CuSO4 5H2O is heated in a crucible, there is a loss of water. How should a student determine the amount of water lost? a.Subtract the mass of the CuSO4 from the mass of CuSO4 5H2Ob.Subtract the mass of the CuSO4 5H2O from the mass of CuSO4c.Add the masses of CuSO4 5H2O and CuSO4d.Multiply the masses of CuSO4 5H2O and CuSO Help asap pleaseee!A climber is on a hike. After 2 hours, he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?200 ft per hour105 ft per hour300 ft per hour75 ft per hour Laura drives a garbage truck that weighs 3 tons. She picked up 2 tons of recyclables. What is the total weight in pounds of the garbage truck and recyclables? Help please. If I get the answer right you will get brainliest I'm confused, I don't know how to write a full commentary sentence for an essay. Please help Which aspect of a text is least likely to contribute to its theme?O A. The charactersOB. The reading levelO C. The settingO D. The conflictSUB How can you review your paragraphs to make sure they work together to develop your main idea If the associated Linear function of this sequence was graphed, what woulld be its slope?A) 2B) 4C) 8D)1/4 Which of the following planets has a diameter that is larger than the diameter of the Earth? Read each phrase carefully, then determine if it describes laws or ethics.based on moralsno legal punishmentrules govering a communitypunishments for violationspublished in writingprinciples to guide people Why did the United States switch its support from the Sandinistas to the Contras in Nicaragua? A restaurant sells a refillable coffee mug for $7.75. Each refill costs $3.25. Last month Keith spent $82.75 on a mug and refills. Enter an equation you can use to find the number of refills that Keith bought. Let r represent the number of refills. Both plot and blank are used to develop the theme of the narrative The length of a poster is 15 feet how long is the poster in inches There are 3 red balls, 5 green balls, and 1 yellow ball in a hat. If you draw the yellow ball, you gain $10. If you draw any of the red balls, you gain $4. If you draw a green ball, you lose $3. If you were to play this game 25 times, replacing the drawn ball each time, how much money can you expect to gain or lose? what were Two reasons the New Mexican and pueblo people revolted against Albino Perez in 1837? Homer wants to borrow money from the Springfield Bank to buy a new trampoline. The bank requires collateral for a loan. What is collateral?A) a signed statement that the loan will be repaid B) an increased interest rate for a high risk loan C) something of value which the bank will receive if the loan is not repaid D) money deposited in the bank which is greater than the amount of the loan The yearly cost in dollars, y, at a video game arcade based on total game tokens purchased, x, is y = y equals StartFraction 1 Over 10 EndFraction x plus 60.x + 60 for a member and y = y equals StartFraction 1 Over 5 EndFraction x. x for a nonmember. Explain how the graph of a nonmembers yearly cost will differ from the graph of a members yearly cost. What is the slope of y=5x-1y=5x1y, equals, 5, x, minus, 1?