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Nimfa-mama [501]
2 years ago
13

the constant of proportionality is always the point_______, where k is the constant of proportionality. Additionally, you can fi

nd the constant of proportionality by finding the ratio of_______, for any point on the______. PLEASE HELP ASAP
Mathematics
1 answer:
MArishka [77]2 years ago
5 0

Answer:

Step-by-step explanation:

When two variables say x and y are proportional let us assume y dependent variable and x independent variable

then we have y =kx

Here k is called the constant of proportionality.

Whenever x increases/decreases by 1 unit, the y value also increases/decreases by k units.

Whenever x=1, y =k

and always \frac{y}{x} =k

Thus we can fill up as

the constant of proportionality is always the point___(1.k)____, where k is the constant of proportionality. Additionally, you can find the constant of proportionality by finding the ratio of___y to x____, for any point on the___graph of the function.___.

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Please help! Thanks! Show work!
geniusboy [140]
Answer: The toy should be 2.4 inches tall

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Explanation:

First convert 6 ft to inches
6 ft = (6 ft)*(12 in/1 ft) = (6*12) inches = 72 inches

So, 6 ft = 72 inches

The toy is manufactured with a scale of 1:30 meaning that the toy is 1 unit tall compared to the soldier which is 30 units tall. The soldier is 30 times taller than the toy. We can therefore form the ratio

1/30 = x/72

where x is the height of the toy soldier in inches

Cross multiply and solve for x

1/30 = x/72
1*72 = 30*x
72 = 30*x
72/30 = 30*x/30
72/30 = x
x = 72/30
x = 12/5
x = 2.4

So the toy should be 2.4 inches tall.

Note how 30 times 2.4 gives us
30*2.4 = 72
which fits with the theme that the real soldier is 30 times taller than the toy counter part.


3 0
3 years ago
A 32 foot tall tree casts a shadow that is 48 feet long. How far away from the tree is a 6 ft person? Help! :)
shusha [124]

Answer:

Henry Clay believed that American democracy depended on “that great principle of compromise”. What did he mean? Do you agree? Why?12

Step-by-step explanation:

4 0
2 years ago
This drawing shows an Isosceles triangle. Work out the size of angle a. ​
antiseptic1488 [7]
50 degrees

All triangles have 180 degrees total.

Since it’s an isosceles triangle, the 2 bottom angles are congruent; thus, they have the same angle measurement.

Now just subtract the two angles from 180 to get the third angle.

180 - 65 - 65 = 50
8 0
3 years ago
Exhibit 6-2 the weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 poun
Evgen [1.6K]
The question is asking for the lower bound of the 95% two tailed Confidence interval of the normally distributed population.

95% C.I. is given by 200 + or - 1.96(25) = 200 + or - 49 = (151, 249)
Therefore, the minimum weight of the middle 95% of players is 151 pounds.
5 0
3 years ago
If the Federal Reserve sets the reserve rate to 5%, what is the resulting money
sesenic [268]

Answer:

To get this answer you’d just divide 5% by 100, and you’d get 0.05. I hope this helps!

Step-by-step explanation:

6 0
3 years ago
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