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Amiraneli [1.4K]
2 years ago
10

*IN YOUR OWN WORDS* Summarize the constant of proportionality.​

Mathematics
1 answer:
Lilit [14]2 years ago
6 0

Answer: <em>Constant of proportionality is the constant value of the ratio between two proportional quantities. Two varying quantities are said to be in a relation of proportionality when, either their ratio or their product yields a constant.</em>

Step-by-step explanation:

To find the constant of proportionality, we use the formula k=y/x. So we have k=20/500 = 0.04.

The equation representing this situation will look like y=kx. Substituting in our value of k that we found, we have the equation y=0.04x.

We can use our equation to find the answer to this problem.

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Find the 84th term of the arithmetic sequence -5,15,35, ...
pav-90 [236]

Answer:

The 84th term of the arithmetic sequence -5,15,35, ... is 1675.

Step-by-step explanation:

The arithmetic sequence -5,15,35, ... increases by 20 per term. Add 20 to the prior term to find the new term. Do this 83 times from -5, and you reach 1675.

8 0
3 years ago
Please help ASAP!!!!!!!!!!
Alexxandr [17]

Value of x is 10

Step-by-step explanation:

  • Step 1: Here, x is the hypotenuse of the right angled triangle. Use the trigonometric ratio cosine to find x.

cos 28° = adjacent side/hypotenuse = 11/x

⇒ x = 11/cos 28° = 11/-0.96 = -11.46 ≈ 10 (rounding off to nearest tenth)

6 0
3 years ago
Please help!<br> 5x^2 - 3x - 2 = 0<br> Solve using the zero-factor property.
Alex

Answer:

x = -2/5

x = 1

Step-by-step explanation:

5x² - 3x - 2 = 0

(5x + 2)(x - 1) = 0

⇒ 5x + 2 = 0

⇒ 5x = -2

⇒ x = -2/5

⇒ x - 1 = 0

⇒ x = 1

7 0
2 years ago
Simplify the expression.<br> 5c+8d-8(5c-4d)
cluponka [151]

Answer:

-35c+40d

Step-by-step explanation:

distribute -8 through the numbers in the parenthesis by distribute I mean multiply the numbers in the parenthesis by -8

combine the like terms (c)

combine like terms(d)

then you have your answer

3 0
2 years ago
Find the mean of x,2x,3x,4x,5​
Lady_Fox [76]

Answer:

Mean = 3x

Step-by-step explanation:

Mean = \frac{SumOfObservations}{TotalNumberOfObservations}

Mean = \frac{x+2x+3x+4x+5x}{5}

Mean = \frac{15x}{5}

Mean = \frac{15x}{5}

Mean = 3x

4 0
3 years ago
Read 2 more answers
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