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BARSIC [14]
3 years ago
5

The graph shows the relationship between time

Mathematics
1 answer:
musickatia [10]3 years ago
8 0

Answer:

The machine can make 24 bottles of soda per minute

Step-by-step explanation:

Looking at the graph of the relationship, we can see that the number of bottles per minute simply represent the slope of the line

Thus, by calculating the slope using the given points, we can have the number of bottles per minute

We have the formula as;

m = (y2-y1)/(x2-x1)

(x1,y1) = (4,96)

(x2,y2) = (6,144)

m = (144-96)/(6-4) = 48/2 = 24

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erma4kov [3.2K]

Answer:

y=x+1

Step-by-step explanation:

at each x you move up by 1

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What is the scale factor of the dilation?
klasskru [66]
A description of a dilation includes the scale factor (or ratio) and the center of the dilation. The center of dilation is a fixed point in the plane. If the scale factor is greater than 1, the image is an enlargement (a stretch). If the scale factor is between 0 and 1, the image is a reduction (a shrink
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2 years ago
Determine the value of a 10 year old car that costs $24,500 new and depreciates by 9% every year
son4ous [18]
First, we need to know how much the car depreciates each year. Multiply the price of the car by the percentage.

We can turn 9% into a decimal by moving the decimal point two places to the right.

9% = .09

24500 * .09 = 2205

Multiply the product by the amount of years you want to predict the price at.

2205 * 10 = 22050

Subtract that from the original price of the car.

24500 - 22050 = 2450

The value of a 10 year old car that costs $24500 and depreciates 9% every year will cost $2450.
7 0
3 years ago
Read 2 more answers
Classify each number below as a rational number or an irrational number. −17.6 , 81 , 15π , (square root −29), 13/14
gregori [183]

Answer:

Rational Numbers

−17.6 (-176/10)

81

13/14

Rational Numbers

15π

square root −29

Step-by-step explanation:

Rational Numbers are those numbers which can be written as Ratio of two numbers.

Irrationational Numbers are those which cannot be written as ratio of two numbers. such as recurring numbers.

e.g 0.26262626.........

4 0
3 years ago
Prove divisibility 45^45·15^15 by 75^30
Anuta_ua [19.1K]

Answer:

3^{75}

Step-by-step explanation:

We are asked to divide our given fraction: \frac{45^{45}*15^{15}}{75^{30}}.

We will simplify our division problem using rules of exponents.

Using product rule of exponents (a*b)^n=a^n*b^n we can write:

45^{45}=(3*15)^{45}=3^{45}*15^{45}

75^{30}=(5*15)^{30}=5^{30}*15^{30}

Substituting these values in our division problem we will get,

\frac{3^{45}*15^{45}*15^{15}}{5^{30}*15^{30}}

Using power rule of exponents a^m*a^n=a^{m+n} we will get,

\frac{3^{45}*15^{45+15}}{5^{30}*15^{30}}

\frac{3^{45}*15^{60}}{5^{30}*15^{30}}

Using quotient rule of exponent \frac{a^m}{a^n}=a^{m-n} we will get,

\frac{3^{45}*15^{60-30}}{5^{30}}

\frac{3^{45}*15^{30}}{5^{30}}

Using product rule of exponents (a*b)^n=a^n*b^n we will get,

\frac{3^{45}*(3*5)^{30}}{5^{30}}

\frac{3^{45}*3^{30}*5^{30}}{5^{30}}

Upon canceling out 5^{30} we will get,

3^{45}*3^{30}

Using power rule of exponents a^m*a^n=a^{m+n} we will get,

3^{45+30}

3^{75}

Therefore, our resulting quotient will be 3^{75}.

8 0
3 years ago
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