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laila [671]
3 years ago
14

Determine whether the relationship between the circumfrance of a circle and its diameter is a direct variation. If so, identify

the constant of proportionality. Justify your response.
Mathematics
1 answer:
kipiarov [429]3 years ago
3 0

Answer:

The relationship between the circumference of a circle and its diameter represent  a direct variation and the constant of proportionality is equal to the constant \pi

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=kx

where K is the constant of proportionality

In this problem we know that

The circumference of a circle is equal to

C=\pi D

therefore

the relationship between the circumference of a circle and its diameter is a direct variation and the constant of proportionality is equal to the constant \pi

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The rubber playground mulch is sold in packages that cover 300 square feet each. what expression represents the number of packag
tino4ka555 [31]

The expression represents the number of packages of mulch that will be needed to cover both rounded ends is 600/x

<h3>How to determine the expression represents the number of packages of mulch that will be needed to cover both rounded ends?</h3>

The given parameters are:

Area covered = 300 square feet

Number of ends  = 2

So, the total surface area is:

Total surface area = Area covered * Number of ends  

This gives

Total surface area = 300 * 2

Total surface area = 600 square feet

Let the area covered by each package of mulch be x.

So, the number of mulch is

Number = Area covered/area covered by each

This gives

Number = 600/x

Hence, the expression represents the number of packages of mulch that will be needed to cover both rounded ends is 600/x

Read more about areas at:

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6 0
1 year ago
the average person takes about 30,000 breaths per day. express this number as a single digit integer times a power of 10
NNADVOKAT [17]

Answer:

3 * 10^4

Step-by-step explanation:

4 0
4 years ago
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Find the 7th term in the sequence -10,-6,-2,2...
jeyben [28]

1st term = -10

2nd term = -6

3rd term = -2

4th term = 2

5th term = 6

6th term = 10

7th term = 14


The reason how I got 14 for the 7th term is because, i added 4 to each term.


Hope this helps!

3 0
3 years ago
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A lottery ticket has a grand prize of $31 million. The probability of winning the grand prize is .000000018. Determine the expec
vlabodo [156]

Answer:

$0.558

Step-by-step explanation:

The expected value is the sum of the value of each outcome times the chance that it happens. In this case, there are two outcomes:

  1. Win $31 million
  2. Win $0

Then our expected value can be calculated as:

EV=(31,000,000)(0.000000018)+(0)(1-0.000000018)=0.558

5 0
3 years ago
19 PTS!!!! PLZ HELP ASAP
Ira Lisetskai [31]

The number of muffin can yield is 18.

Step-by-step explanation:

Given:

The recipe needs  \frac{3}{4} cup chopped apple.

To find:

Umber of muffins when 1 \frac{1}{8} cup chopped apple is given.

Solution:

1\frac{1}{8} ÷  \frac{3}{4} = 1.5

1\frac{1}{8} cup apple is 1.5 times of \frac{3}{4} cup of apple

So, the number of muffins will be = 12 × 1.5

= 18

Thus 18 muffins can be yielded from a batch that contains 1 1/8 cups of chopped apple

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