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DIA [1.3K]
3 years ago
13

Using a Table to find the Constant of Proportionality

Mathematics
1 answer:
muminat3 years ago
4 0

Answer:

k = 12

Step-by-step explanation:

The constant of proportionality k is the ratio

k = \frac{laps}{swimmers}

Use any ordered pair from the table to find k

Using number of laps = 240, number of swimmers = 20 , then

k = \frac{240}{20} = 12

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HELP I NEED HELP ASAP
lilavasa [31]

Answer:

The answer is C

Step-by-step explanation:

The mean of math is 84, and the Mean of science is 85.

so, science is clearly one point higher

7 0
2 years ago
What is the quotient of d − 2 √ d 4 − 5 d 3 + d + 17
Tcecarenko [31]

Answer: d^3 - 3d^2-5

Step-by-step explanation:

For finding the quotient of the given division,

In the long division method, we will follow the following steps.

Step 1 : Here the divisor is d-2 and dividend is d^4-5 d^3 + d + 17

Multiply (d-2) by d^3  and subtract the dividend by the resultant.

We get -3d^3+d

Step 2: Multiply (d-2) by -3d^2  and subtract the remaining dividend by the resultant.

We get  -5d^2+17

Step 3 : Multiply (d-2) by -5  and subtract the remaining dividend by the resultant.

We get  7

Since, after getting 7 it is not possible further division,

Hence, Remainder = 7,

Quotient = sum of all expression by that we multiply (d-2) = d^3 - 3d^2-5

4 0
3 years ago
What point on the graph of y = 0.5f(x) corresponds to (4, 16)? Explain.
SVETLANKA909090 [29]

We are given a coordinate (4,16).

Where first coordinate is the value of x and second coordinate is the value of y for the function y=f(x).

We need to find the value of given point (4,16) for function y= 0.5f(x).

Here function f(x) is being multiplied by 0.5.

On multiplying 0.5 by y, it will effect the value of y only. It does not effect value of  x . Because x value is still x. Only function f(x) is being multiplied by 0.5.

Therefore, y= 0.5f(4) = 0.5 * 16 = 8.

So, (4,8) is the point on the graph of y = 0.5f(x) corresponds to (4, 16).

4 0
3 years ago
A caterpillar eats 75 leaves in 5 hours. How many leaves will the caterpillar eat in 8 hours if it continues to eat at the same
Dahasolnce [82]

Answer:

120 leaves

Step-by-step explanation:

If the caterpillar eats 75 leaves in 5 hours and continues to eat at the same rate, the number of leaves eaten is simple, 120 leaves.

How I found the answer:

First, I divided 75 by 5 and got 15, then I multiplied 8 to 15 and got 120.

3 0
3 years ago
Read 2 more answers
❗️❗️URGENT❗️❗️<br> 24. Find slope of the line.<br> A. 3/2<br> B. -3/2<br> C. -2/3<br> D. 2/3
Dvinal [7]

Answer:

Option (A)

Step-by-step explanation:

Slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by,

Slope = \frac{y_2-y_1}{x_2-x_1}

Form the graph attached,

Graphed line passes through two points (0, 1) and (-2, -2),

Therefore, slope of the line passing through these points will be,

Slope = \frac{1+2}{0+2} = \frac{3}{2}

Option (A) will be the answer.

4 0
3 years ago
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