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alukav5142 [94]
3 years ago
15

How do I simplify this equation?

Mathematics
1 answer:
cupoosta [38]3 years ago
8 0

Answer:

\large\boxed{\sqrt[3]{3^{15}}=243}

Step-by-step explanation:

\sqrt[3]{3^{15}}\\\\\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt[3]{3^{5\cdot3}}=\sqrt[3]{(3^5)^3}\\\\\text{use}\ \sqrt[n]{a^n}=a\\\\=3^5=243

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PROBLEM: Juan hires an electrician. Juan pays a one-time fee of $30. Juan also pays $45 for each hour the electrician works. A.
PolarNik [594]

Answer:

A: C=45h+30

B: C=$322.50

Step-by-step explanation:

A: We'll start with the equation for the total charge. Juan is saying he will pay a one time fee of $30, meaning there is 30 dollars added to what ever the hourly wage is. This can be represented by the +30. Now if "h" represents the variable for which the hourly wage will be calculated, and he pays $45 dollars per hour this will be represented as 45h. <em>As an example if I pay you 2 dollars per hour using the same variable "h", this would be represented as 2h. So if you worked for two hours you would get 4 dollars, this is proven by the fact the 2(2) (remeber im replacing the "h" with the hours you worked) obviously 2 times 2 is 4 proving my point. </em>This information will give you the equation you see above.

B: Onto solving for how much Juan will pay. Now you say youre supposed to have 9 answer but this can't be true. All you need to do is plug the hours given into "h" and solve the equation. It should look something like:

<u>C=45h+30</u>

<u>C=45(6.5)+30</u>

Im using a decimal because it should be clear 1/2=0.5

<u>C= 292.5+30</u>

45x6.5 always go with PEMDAS, we are multiplying first. Then add 292.5 plus 30

This results in the answer of:

<u>C=$322.50</u>

3 0
3 years ago
we do not know how much the price of a commodity is, but it has been reduced by 10% and now costs 20€. What was the starting pri
MrRissso [65]
I got 22 because if u do 20 multiplied by 10% that gives u 2 which u then add onto the 20 to get the starting price. 10% of 22 is 2 and then 22-2 = 20 (if u we’re doing it from the starting price)
4 0
2 years ago
While working at his neighborhood math tutoring center researching the comprehension level of the students Dion investigated tha
elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

While working at his neighborhood math tutoring center researching the comprehension level of the students Dion investigated that the distribution of the student test scores are normally distributed with a mean of 79.13 and a standard deviation of 6.34. What is the probability that the student scores less than 60.11

We solve using z score formula

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

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6 0
3 years ago
X+413=−256 <br> What is the value of X?
Phantasy [73]

Answer:

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Step-by-step explanation:

Convert -256 to 256

Addition -> 413+256=

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Convert 669 to -669

X=-669

Double Check:

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8 0
2 years ago
How do you use protractors, its been printed on the paper, this is gonna be a little confusing for me sorry if I give this app a
Luda [366]

Answer:

  see below

Step-by-step explanation:

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If you're drawing an angle, first draw one ray and locate the vertex on it. Then do the steps above as you would for measurement. Make a mark on your paper corresponding to the desired angle measure, and connect the vertex to that mark to create the other ray of the angle.

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If you're working with a printed protractor, you may need to do your work on a piece of translucent paper or transparency material, so you can see the protractor scale through the page you're drawing on.

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<em>Comment on a printed protractor</em>

A protractor will only give accurate measurements if its geometry is perfect. Some printers will scale a figure differently in horizontal and vertical directions, so will make the protractor scale be elliptical instead of circular. That will give wrong readings.

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3 years ago
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