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We want to see which units we should use for acceleration in the given scenario, the units that we must use are km/h², or kilometer per hour squared.

So we know that acceleration is the rate of change of the velocity (in the same way that velocity is the rate of change in position).

Note that position is represented only with distance units, like km.

And to get a velocity you use the units km/h  (that tell you how many kilometers your position changes in one hour).

Similarly, the rate of change of the velocity will be (velocity)/time.

(km/h)/h = km/h²

Which is kilometers per hour squared.

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The grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them are $247

From the given function, we can see that the equivalent function for a number of 100 boxes is given as;

c(n) = 1.9n

If n = 100

c(100) = 1.9(100)

c(100) = 190

Hence the cost of 100 boxes will be $190

Given the sales function s(c) = 1. 3c, the grocery store's sales from selling cereal if the grocery store buys 100 boxes will be expressed as:

[tex]s(c) = 1. 3c\\s(190)=1.3(190)\\s(190)=$247[/tex]

Hence the grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them are $247

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Answer:

A

Step-by-step explanation:

The solutions to the given quadratic equation are x=-8 and x=3. Therefore, option A is the correct answer.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The given quadratic equation is 2x²+10x-48=0.

Here, x²+5x-24=0

x²+8x-3x-24=0

x(x+8)-3(x+8)=0

(x+8)(x-3)=0

(x+8)=0 and (x-3)=0

x=-8 and x=3

Therefore, option A is the correct answer.

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Answer:

the loop is going by 4

Step-by-step explanation:

Answer:

2.108*10^3

Step-by-step explanation:

Answer:

  x = 10

Step-by-step explanation:

The diagonals of a rectangle are the same length. This means ...

  AC = BD

  x +6 = 2x -4

  10 = x . . . . . . . . add 4-x to both sides

The figure is a rectangle for x=10.

Answer:

The answer is 2593.678

Step-by-step explanation:

Answer:

  base: 22 37/54; sides: 56 17/108

Step-by-step explanation:

If we let x represent half the length of the base, and y represent the length of the side, then we have ...

  2x +2y = 135 . . . . . perimeter relation

  x^2 +55^2 = y^2 . . . . Pythagorean theorem relation

Solving for y and substituting into the second equation, we have ...

  y = 135/2 -x

  x^2 + 3025 = (67.5 -x)^2

  3025 = -135x +4556.25 . . . . . . expand, subtract x^2

  135x = 1531.25 . . . . . . . . . . add 135x -3025

  x = 1531.25/135 = 11 37/108

The length of the base is double this value, 22 37/54.

The length of each side is 67.5 -11 37/108 = 56 17/108.

__

Check

The perimeter is the base plus two side lengths:

  22 37/54 + 2(56 17/108) = (22 +112) +37/54 +17/54 = 134 +1 = 135.

the first graph looks right

Answer:

100 is inital value of that decrease

Answer:

[tex]\frac{\pi}{6}[/tex] radians

[tex]cos(\frac{7\pi}{6})=-\frac{\sqrt{3}}{2}[/tex]

Step-by-step explanation:

A reference angle is an acute angle between the terminal arm/terminal side and the x-axis. In this case, the reference angle is [tex]\frac{7\pi}{6}-\pi=\frac{\pi}{6}[/tex].

As for [tex]cos(\frac{7\pi}{6})[/tex], we can identify the value of it using the unit circle as attached below. Recall that points on the unit circle are defined as [tex](cos(\theta),sin(\theta))[/tex], so [tex]cos(\frac{7\pi}{6})=-\frac{\sqrt{3}}{2}[/tex].

Answer:

Step-by-step explanation:

4x - 1 = 3(x + 1)

4x - 1 = 3x + 3   [remove the parentheses by multiplying each term by 3]

4x  = 3x + 4       [add 1 to both sides]

1x  =   4               [Subtract 3x from both sides]

x = 4

===

Try it:

4x - 1 = 3(x + 1):  ??

4*4 - 1 = 3(4 + 1) ??

15 = 3(5)

15 = 15 yes

Answer:

Option D

Step-by-step explanation:

a/3 = 8/6

a × 6 = 8 × 3

6a = 24

a = 24/6

a = 4

Hence,

Option A is correct

Answer:

4

Step-by-step explanation:

cross multiply

a x 6=3 × 8

or,a=24/6

There fore a=4

Answer:

y>1/2x+2

Step-by-step explanation:

Answer:

1.17 dollars!

Step-by-step explanation:

We are given the equation c=1.17s

To break it down, it means that the cost in dollars=1.17 times amount of songs.

Lets plug in 1 for s.

1.17*1=1.17!

For one song, it will cost 1.17 dollars !

Answer:

Infinitely Many Solutions

Step-by-step explanation:

[tex]2(2x+3)=-4+2(2x+5)\\\\4x+6=-4+4x+10\\\\4x+6=4x+6\\\\Infinitely~Many~Solutions[/tex]

The experiment is not a binomial experiment because the number of trials is not fixed.

A binomial experiment is an experiment were there is a fixed number of trials and the results are usually between two options- a success or a failure.

The conditions for a binomial experiment include:

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Answer:

Step-by-step explanation:

The volume of the pool is given by ...

  V = LWH

Here, we have ...

  V = 2800 ft³

  H = 8 ft

  L = 3.5W

Filling in these values, we have ...

  2800 ft³ = (3.5W)(W)(8 ft)

  100 ft² = W² . . . . . . . . . . . . divide by 28 ft

  W = √(100 ft²) = 10 ft

  L = 3.5W = 35 ft

The pool is 10 ft by 35 ft.

Answer:

4 - 30x

Step-by-step explanation:

10(2/5-3x)

(10 x 2/5) - (10 x 3x)

4 - 30x

Step-by-step explanation:

10 ×2/5 = 4

10 × -3x = - 30x

= 4 - 30x

Answer:

Step-by-step explanation:

The standard form of five million four thousand three hundred is 5,004,300.

Hoped this helped.

[tex]GeniusUser[/tex]

Answer:

Answer:

5,004,300

Step-by-step explanation:

The standard form of five million four thousand three hundred is 5,004,300.

Hoped this helped.

GeniusUserGeniusUser

Answer:

Dom mowed the most and 7/20 is how much is left

Step-by-step explanation:

To compare the answer of which is larger you need a like denominator. Maddy: 5/20

Dom: 8/20

Now what is left for them to do is 7/20.

Answer:

0.5 pounds of butter.

Explanation

X pounds for 0.25 gallons.

0.5 gallon of cream - 1 pound of butter

0.25 gallons of cream - X pounds of butter

Applying cross multiplication:

0.5X = 0.25

X = 0.25 over 0.5 or 0.25/0.5

X = 0.5

Therefor, you could make 0.5 pounds of butter with 0.25 gallons of cream.

By the 0.25 gallons of cream, we can make 0.5 pounds of butter.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

It takes 0.5 gallons of cream to make 1 pound of butter.

So,

0.5 gallons of cream ⇒  1 pound of butter

Divide both sides by 2

0.5/2 gallons of cream ⇒  1/2 pound of butter

0.25 gallons of cream ⇒ 0.5 pounds of butter

Hence "By the 0.25 gallons of cream, we can make 0.5 pounds of butter".

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The difference of the given fraction is expressed as [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]

Given the expression:

Take the LCM of the fraction to have:

[tex]=\frac{x+5}{x+2}-\frac{x+1}{x(x+2)} \\=\frac{x(x+5)-(x+1)}{x(x+2)} \\=\frac{x^2+5x-x-1}{x(x+2)}\\=\frac{x^2+4x-1}{x(x+2)}[/tex]

Hence the difference of the given fraction is expressed as [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]

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Answer:

its B. x^2+4x+1 / x(x+2)

Step-by-step explanation:

did it on edge