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cricket20 [7]
3 years ago
12

Suppose that there is a positive correlation between the variables k and l. If l is 150 when k is 7, which of these is most like

ly to be the value of l when k is 14. A. 300 B. 75 C. 50 D. 150
Mathematics
1 answer:
antoniya [11.8K]3 years ago
7 0
I think the answer would be A.) If I is already 150 and K is 7. Now k is doubled and so that would mean I would as well! Hope this helps

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Rationalize the numerator. <br><img src="https://tex.z-dn.net/?f=%20%20%5Cfrac%7B%20%5Csqrt%5B3%5D%7B144x%20%7D%20%7D%7B%20%5Csq
Simora [160]

rationalizing the numerator, or namely, "getting rid of that pesky radical at the top".


we simply multiply top and bottom by a value that will take out the radicand in the numerator.


\bf \cfrac{\sqrt[3]{144x}}{\sqrt[3]{y}}~~&#10;\begin{cases}&#10;144=2\cdot 2\cdot 2\cdot 2\cdot 3\cdot 3\\&#10;\qquad 2^3\cdot 18&#10;\end{cases}\implies \cfrac{\sqrt[3]{2^3\cdot  18x}}{\sqrt[3]{y}}\implies \cfrac{2\sqrt[3]{  18x}}{\sqrt[3]{y}}&#10;\\\\\\&#10;\cfrac{2\sqrt[3]{  18x}}{\sqrt[3]{y}}\cdot \cfrac{\sqrt[3]{(18x)^2}}{\sqrt[3]{(18x)^2}}\implies \cfrac{2\sqrt[3]{(18x)(18x)^2}}{\sqrt[3]{(y)(18x)^2}}\implies \cfrac{2\sqrt[3]{(18x)^3}}{\sqrt[3]{18^2x^2y}}


\bf \cfrac{2(18x)}{\sqrt[3]{324x^2y}}~~&#10;\begin{cases}&#10;324=2\cdot 2\cdot 3\cdot 3\cdot 3\cdot 3\\&#10;\qquad 12\cdot 3^3&#10;\end{cases}\implies \cfrac{36x}{\sqrt[3]{12\cdot 3^3x^2y}}&#10;\\\\\\&#10;\cfrac{36x}{3\sqrt[3]{12x^2y}}\implies \cfrac{12x}{\sqrt[3]{12x^2y}}

3 0
3 years ago
Read 2 more answers
0.23 or 2.3% which is greater?
lisabon 2012 [21]

Answer:

0.23

Step-by-step explanation:

2.3% = 0.023

So 0.23*100=23% therefore larger than 2.3%


Any questions feel free to ask. Thanks

8 0
3 years ago
What is the value of 36X negative Y over to when X equals three and Y equals -6
Rus_ich [418]

<u><em>Note:</em></u>

<em>Your question is a little unclear. But, from my understanding, I assume you may be asking the evaluation of the expression 36x - y when x = 3 and y = -6.</em>

<em>so I will solve based on my assumption which anyways would clear your concept.</em>

Answer:

The value of 36x - y when x = 3 and y = -6 will be: 114

Step-by-step explanation:

Given

Assuming the expression

36x - y

To Determine

Evaluate 36x - y when x = 3 and y = -6

Given the expression

36x - y

substitute x = 3 and y = -6 to evaluate the expression

36x-y= 36(3) - (-6)

            = 108+6

            = 114

Therefore, the value of 36x - y when x = 3 and y = -6 will be: 114

5 0
3 years ago
Find two numbers, if their sum is 49 and their difference is 1/2 .
amm1812

Answer:

x=24\frac{3}{4}\\ y=24\frac{1}{4}

Step-by-step explanation:

Let the two numbers be x and y

So we have:

x +y = 49\\x-y=\frac{1}{2}

using the elimination method, add the two equations together:

2x=49\frac{1}{2} \\2x=\frac{99}{2}

solve for x:

x=\frac{99}{4}\\x=24\frac{3}{4}

substitute our value for x back into the first equation we made:

x+y=49\\(\frac{99}{4}) + y=49\\y=49-\frac{99}{4}\\y=\frac{97}{4} \\ y=24\frac{1}{4}

therefore,

x=24\frac{3}{4}\\ y=24\frac{1}{4}

6 0
3 years ago
Help! Need by 10:30 to turn in and I'm confused!
Alecsey [184]

Answer:

8 boxes of tissues

5 bags of cough drops

Step-by-step explanation:

You need to write a system of equations.

x = number of tissue boxes

y = number of cough drop bags

x (number of tissue boxes) + y (number of cough drop bags) = 13 (total number of tissues and cough drops combined.

So, your first equation is

x + y = 13

Then, you need to write the second equation.

(1.69 [cost of 1 tissue box] * [number of tissue boxes]) + (1.19 [cost of one bag of cough drops] * [number of cough drop bags] = 19.47 [total cost of tissues and cough drops]

That's a lot to read, so here's the equation simplified!

1.69x + 1.19y = 19.47

Now, you have two equations:

x + y = 13

1.69x + 1.19y = 19.47

I would solve with the substitution method.

the first equation can be changed to x = 13 - y by subtracting y from both sides.

Then, your two equations are:

x = 13 - y

1.69x + 1.19y = 19.47

Now, you can plug in that value of x into the second equation!

1.69(13 - y) + 1.19y = 19.47

21.97 - 1.69y + 1.19y = 19.47

subtract 21.97 from both sides

-1.69y + 1.19y = -2.5

Add the y values

-0.5y = -2.5

divide both sides by -0.5

so, y equals 5 bags of cough drops

now that you know what y equals, plug it back into your original equation to find x!

x + y = 13

plug in y

x + 5 = 13

x = 8

so, x = 8 boxes of tissues

Hope this helps! Let me know if you have any questions!

8 0
3 years ago
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