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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Answer:
6
Step-by-step explanation:
24/6=4
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6+6=12 12+12=24
Solution:
Given,
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No. of marbles each child received=4
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Here,
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(Answer of part B) First of all diameter of Mars in ordinary number = 6780 kmNow radius = Diameter/2 = 6780/2 = 3390 So radius of Mars in ordinary number = 3390 km(Answer of part C) Mass of earth = 5.97 × 10³⁴ Mass of mercury = 3.3 × 10²³Difference between the masses of Earth and Mercury = (5.97 × 10³⁴) - (3.3 × 10²³) = 2.67 × 10¹¹So, difference = 2.67 × 10¹¹Step-by-step explanation:
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the KL angle is 72
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Step-by-step explanation:
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Step-by-step explanation:
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HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
How many grams are contained in 0.54 moles of calcium?
Answers
The number of grams present in 0.54 moles of calcium is; 22 g
We are given;
Number of moles; n = 0.54 moles
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
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m = 40.1 × 0.54
m = 21.654 g
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Answer:
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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.
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Answer:
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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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Answer:
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Step-by-step explanation:
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Over Powered
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Answer:
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Step-by-step explanation:
-2(x + 1) - 4(x - 3)
Distribute
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-6x +10
Step-by-step explanation:
First, open the parenthesis by multiplying the number outside to the terms inside:
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