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Sphinxa [80]
4 years ago
10

How to determine if its a proportional

Mathematics
1 answer:
aleksandr82 [10.1K]4 years ago
6 0

You have to see if they are all moving up at a constant rate. You can check this by subtracting $17.40 from $21.75. It is $4.35. Then multiply $4.35 by 46. If it is not equal to $200.10, then it is not a proportional relationship. When you multiply it, you actually do get $200.1, which is equal to $200.10. So this is a proportional relationship.

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In the formula 1/3 π r*2 •h, if r is doubled and h is divided by 3, what is the ratio of new value of the formula to the origina
Maru [420]

\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=\stackrel{doubled}{2r}\\ h=\stackrel{\textit{divided by 3}}{\frac{h}{3}} \end{cases}\implies V=\cfrac{\pi (2r)^2\left( \frac{h}{3} \right)}{3} \\\\\\ V=\cfrac{\pi (2^2r^2)\left( \frac{h}{3} \right)}{3}\implies V=\cfrac{~~\frac{4\pi r^2 h}{3}~~}{3}\implies V=\cfrac{4\pi r^2 h}{3\cdot 3}\implies \stackrel{\frac{4}{3}\textit{ of the original}}{V=\cfrac{4}{3}\cdot \cfrac{\pi r^2 h}{3}}

3 0
3 years ago
When solving negative one over three (x − 15) = −4, what is the correct sequence of operations?
iogann1982 [59]
-1/3(x - 15) = -4

step 1 : multiply both sides by -3, step 2 : add 15 to both sides

because when u multiply both sides by -3, this cancels out the -1/3 on the left side leaving u with : x - 15 = -4 * -3.....x - 15 = 12.....and then u would add 15 to both sides....giving u : x = 12 + 15.....x = 27
7 0
3 years ago
Use a graphing calculator to determine the linear, quadratic, or exponential equation that best represents the data. For linear
Sav [38]

The linear equation that best represents the data is given by:

y = 1.35x - 2.11.

<h3>Why is the data best represented by a linear equation?</h3>

We have to consider two things:

  • The data increases over the entire interval, not having changes in the behavior related to increasing/decreasing, hence a quadratic equation would not be a good representation for the data.
  • The increase is best followed by a constant, especially for higher values, and not by a multiplier, hence a linear function is selected over an exponential function.

<h3>How to find the equation of linear regression using a calculator?</h3>

To find the equation, we need to insert the points (x,y) in the calculator.

For this problem, the points are given as follows:

(1, 0.2), (2, 0.4), (3, 1.1), (4, 2.3), (5, 5.1), (6, 6.3), (7, 7.5).

Inserting these points into the calculator, the equation is given by:

y = 1.35x - 2.11.

More can be learned about linear equations at brainly.com/question/24808124

#SPJ1

3 0
1 year ago
What is a slope perpendicular to the line with equation 6x-4y=30. Can u guys show me step by step. (I’m barely learning and I’m
Anastasy [175]
I did these about 1 year ago but i think you subtract the 6 from 30 and then divide by 4, and that gives u 24/4 which is 6. i barely barely remember some so
5 0
3 years ago
Read 2 more answers
A popular chain of superstores made 3.0479×108 dollars in profit last year. One particular store in the chain made 2.102×106 dol
ollegr [7]
This is a simple exercise with rates.
You just have to divide the total profit of the store, that year, per the profit of the particular store.


[3.0479×10⁸ dollars] ÷ [2.102×10⁶ dollars] = 1,45 x 10²





7 0
4 years ago
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