help me please
Explain what you would do first to simplify the expression below. Justify why, and then state the result of performing this step.
Answers
First clear the bracket of the inner fraction's numerator. This would allow you to reduce the inner fraction to lowest terms.
Given the expression
[tex](\frac{(2r^2t)^3}{4t^2})^2[/tex]
In order to simplify, note that the numerator and denominator of the fraction
[tex]\frac{(2r^2t)^3}{4t^2}[/tex]
have common factors. So, we would first remove the bracket in the numerator. This would allow us to reduce the fraction to lowest terms.
To clear the numerator's bracket, note that
[tex](2r^2t)^3=(2r^2t)\times(2r^2t)\times(2r^2t)\\=(2\times2\times2)\times(r^2\times r^2\times r^2)\times(t\times t\times t)\\=8\times r^6 \times t^3=8r^6 t^3[/tex]
that was long. The shorter way was to do the following
[tex](2r^2t)^3=2^3\times r^{2\times3}\times t^3=8r^6t^3[/tex]
so back to the original question, to simplify
[tex](\frac{(2r^2t)^3}{4t^2})^2[/tex]
we would do
[tex](\frac{(2r^2t)^3}{4t^2})^2=(\frac{2^3r^{2\times3}t^3}{4t^2})^2\\\\=(\frac{8r^6t^3}{4t^2})^2[/tex]
Now that we have removed the bracket from the numerator, we can now accomplish the step of reducing the fraction to lowest terms
[tex](\frac{8r^6t^3}{4t^2})^2=(\frac{8}{4}\times r^6\times \frac{t^3}{t^2})^2\\=(2\times r^6\times t^{3-2})^2\\=(2\times r^6\times t^1)^2\\=(2r^6t)^2[/tex]
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24 marbles were shared equally amongst a group of children. each child received 4 Marbles how many children were in the group?
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Answer:
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Step-by-step explanation:
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Solution:
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Answer:
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Answer:
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Step-by-step explanation:
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BRAINLIEST
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Weight is a measure of force affected by gravity. The Moon's
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I think I need to know what the cat weighs first...
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Answer:
Step-by-step explanation:
Polynomial Functions. A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc. For example, 2x+5 is a polynomial that has exponent equal to 1.
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Answer:
2.14
Step-by-step explanation:
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In the figure, parallelogram PQSR and Triangle PQT are standing
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
-5
Step-by-step explanation:
which expression is equivalent to 2(5 - 3x)
First answer gets Brainliest!
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Answer: 10 - 6x
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I hope this helps!
Answer:
the answer is 10-6x
Step-by-step explanation:
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Step-by-step explanation:
we see f(x), which is |x|.
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Answers
The number of grams present in 0.54 moles of calcium is; 22 g
We are given;
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Now, Molar mass of calcium is;
M = 40.1 g
Formula for number of moles is;
n = m/M
Where;
n is number of moles
m is mass in grams
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Answers
Answer:
$8
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Answers
Answer:
9/10
Step-by-step explanation:
if he has 10 and eats 9 you divide 9 by 10
= 9/10
Arnold eats 9 / 10 fractions of the sweets.
Given that,
Arnold has a bag of 10 sweets. He eats 9 of them. What fraction of the sweets he eat is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
Here,
Arnold has a bag of 10 sweets
Total sweets = 10
Total sweets that were eaten by Arnold = 9
So,
Fraction = sweets eat / total sweet
Fraction = 9 / 10
Thus, Arnold eats 9 / 10 fractions of the sweets.
Learn more about fractions here:
brainly.com/question/10708469
#SPJ2
A plane flies 510 kilometers with a bearing of 316° from Naples to Elgin (see figure). The plane then flies 720 kilometers from Elgin to Canton (Canton is due west of Naples). Find the bearing of the flight from Elgin to Canton. (Round to the nearest whole number.)
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Answer:
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Step-by-step explanation:
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Answers
Answer:
26
Step-by-step explanation:
AB=CB so
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Answers
567/71 because passengers/(train cars/passengers) = train cars
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Answers
Answer:
-6x+10
Step-by-step explanation:
-2(x + 1) - 4(x - 3)
Distribute
-2x-2 -4x+12
Combine like terms
-6x+10
Answer:
-6x +10
Step-by-step explanation:
First, open the parenthesis by multiplying the number outside to the terms inside:
-2(x+1) = -2x - 2
-4(x-3) = -4x + 12
then combine the like terms:
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Find the measure of each angle indicated.
Answers
Step-by-step explanation:
92°
as the has given pair of angle is Alternate Exterior angle so they have same values.
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