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stepladder [879]
3 years ago
9

Complete the ratio table.

Mathematics
1 answer:
rosijanka [135]3 years ago
5 0

Answer:

63, 946

Step-by-step explanation:

The circumference of a circle can be found using the equation 2rpi.

I like to think of this as Dpi with D being the diameter since 2r is equal to D.

42 times 3.14 is roughly 132. x times 3.14 is 198, meaning 198 divided by 3.14 is roughly 63. 301 times 3.14 is roughly 946.

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A company that sells phones generates revenue given by the function
Anon25 [30]
Profit = Revenue - Cost = R(x) - C(x) = (x^2 + 20x + 50) - (50x + 30) = x^2 - 30x + 20
8 0
3 years ago
Helppppppppppppppppp​
Darina [25.2K]

Answer:

3)

Step-by-step explanation:

An equation is linear if equal changes in x produce equal changes in y.

Let's look at each choice.

1)

A decrease of 10% per year. That means each year, the value of the car is 0.9 times the value of the previous year.

For example, if the original value was $10,000, after 1 year, it is worth 0.9 * $10,000 = $9,000. In 1 year it lost $1,000. In the next year, its value is now 0.9 * $9,000. The value at the end of the 2nd year is $8,100. In the second year, it lost $900 in value. In one period of 1 year it lost $1000 in value. In another equal period of 1 year, it lost $900 in value. A change of 1 year in time produces different changes in loss of value, so it is not linear.

2)

Here, the number doubles every year. Let's say it starts with 100 fish. After 5 years, it has 200 fish. In a change of 5 years in x, the change in y is 100. In the next 5 years, it goes from 200 fish to 400 fish. The change in the second period of 5 years is 200. We see that a change of 5 years can produce a change of 100 fish, but another change of 5 years can produce a change is 100 fish. Since for equal changes in x, the changes in y are not all equal, this is not linear.

3)

Here for every change of 1 day in x, the change in y is 2 liters. Each change of 1 in x always produces a change of 2 in y. This is linear.

4)

Each 2 hours, the amount of caffeine is 2/3 of what it was before. This is similar to the choice 1), and it is not linear.

Answer: 3)

7 0
3 years ago
A scientist has a container of 2% acid solution and a container of 5% acid solution. How many fluid ounces of each concentration
algol [13]

Let 'a' be the number of ounces of 2%-solution in the 25-ounce mixture

and 'b' be the number of ounces of 5%-solution in the 25-ounce mixture.

Since, fluid ounces of each concentration should be combined to make 25 fl oz.

So, a+b=25 (Equation 1)

And, a container of 2% acid solution and a container of 5% acid solution should be combined to make 25 fl oz of 3.2% acid solution.

So, a of 2% + b of 5% = 3.2% of 25

(a \times \frac{2}{100})+(b \times \frac{5}{100})= 25 \times \frac{3.2}{100}

(0.02a)+(0.05b)= 0.8

Multiplying the above equation by 100, we get

2a+5b=80 (Equation 2)

Substituting the value of a=25-b in equation 2, we get

2(25-b)+5b=80

50-2b+5b=80

50+3b=80

3b=30

b=10

Since, a=25-b

a= 25-10

a=15.

So, 15 fluid ounces of 2% solution combined with 10 ounces of the 5% solution to create a 25-ounce mixture at 3.2% concentration of acid.

7 0
3 years ago
Please answer as soon as possible. Answers appreciated.​
GREYUIT [131]

Answer:(-1.412,-2.124),(3.29,7.28)

Step-by-step explanation:

Given

The given equation is 2^x-2.5=2x+0.7

There are two functions i.e. y=2^x-2.5\ \text{and}\ y=2x+0.7

Their intersection gives the solution of the above function

From the graph, we can see that both the graph intersects at two different points i.e.  at

(-1.412,-2.124)\ \text{and}\ (3.29,7.28)

6 0
3 years ago
What’s the area of segment (shaded region) PLEASE HELP FAST
Ainat [17]

Answer:

find the area if the sector,then the area of the triangle.After that, Subtract the area of the triangle from the area of the sector

4 0
3 years ago
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