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Rasek [7]
11 months ago
6

If y=mx, and y is 12 when x is 4, then what is the constant of proportionality in this equation?A. 1/3B. 3C. 8D. 16

Mathematics
1 answer:
Anna007 [38]11 months ago
5 0
\begin{gathered} y=mx\text{  when  x=4 and y=12} \\ 12=m(4) \\ 4m\text{ =12} \\ m=\frac{12}{4}=3 \end{gathered}

The constant of proportionality,m, is 3 (option B)

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For a set of five whole numbers, the mean is 4, the mode is 1, and the median is 5. What are the five numbers?
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SO we need 5 numbers that equal to 20, with 5 being the middle number, and ones being the most used number so

1 1 5 x y

According to this, x and y must equal 13 and both be bigger then 5. Because we can rule out every other number, x and y must be 6 and 7.

Your 5 numbers are 1, 1, 5, 6, 7.
5 0
2 years ago
Construct the exponential function that contains the points (0,2) and (3,54)
erma4kov [3.2K]

The exponential function that passes through (0,2) and (3,54) is a growth function

The exponetial function is y = 2 * 3^x

<h3>How to construct the exponential function?</h3>

The points are given as:

(x,y) = (0,2) and (3,54)

An exponential function is represented as:

y = ab^x

Substitute the points in the equation

2 = ab^0 and 54 = ab^3

Solve 2 = ab^0

a = 2

Substitute 2 for a in 54 = ab^3

54 = 2b^3

Divide by 2

27 = b^3

Take the cube roots of both sides

b = 3

So, we have:

y = ab^x

This becomes

y = 2 * 3^x

Hence, the exponetial function is y = 2 * 3^x

Read more about exponential functions at:

brainly.com/question/24077767

8 0
1 year ago
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Anna11 [10]

Answer:

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Step-by-step explanation:

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6 0
2 years ago
The Pythagorean Theorem- Find the Missing Length:
drek231 [11]

The miles he drove North on Avenue B is 24 miles.

<h3>What is Pythagoras theorem? </h3>

According to the Pythagoras theorem, the square of the hypotenuse is the sum of the square of the opposite sides.

The Pythagoras theorem: a² + b² = c²

Where:

  • a = length
  • b = base = 7 miles
  • c = hypotenuse = 25 miles

<h3>How many miles did he drive north of Avenue B? </h3>

25² - 7²

625 - 49 = 576

√576 = 24 miles

Please find attached the required diagram. To learn more about Pythagoras theorem, please check: brainly.com/question/14580675

5 0
1 year ago
PLZ HELP FREE POINTS AND BRAINLEIST how can the direction part of a vector be expressed as a number
REY [17]

Answer:add an equation to the magnitude

Step-by-step explanation:

apply a given equation to find the magnitude

5 0
3 years ago
Read 2 more answers
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