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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Related Questions
Arnold has a bag of 10 sweets. He eats 9 of them. What fraction of the sweets does he eat?
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.
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In the figure, parallelogram PQSR and Triangle PQT are standing
on the same base and between, the same parallel lines. The
area of triangle PQT is 50 cm?. Find the area of Triangle PRS.
Answers
Answer:
50 cm²
Step-by-step explanation:
We know that PQRS is a paralleogram so we know that RS = PQ.
We also know that ΔPQT and ΔPRS has the same height . The the area is the same, from the area of that we can get 50 cm²
PLEASE HELP, DUE TOMORROW
Answers
Please help me with this homework
Answers
Step-by-step explanation:
we see f(x), which is |x|.
and we see g(x), which is clearly the same basic graph, it is just shifted 3 units down in y direction.
shifts are simply done by keeping the original function definition and then add it subtract a certain constant that then adapts every original functional value.
so, a shift down by 3 units is done by adding -3.
therefore, C is the correct answer (the original f(x) - 3).
Joshua gets a daily allowance of $30. Each day he spends 60% of it on lunch, 1/2 of the remainder on transport and saves the rest. Calculate the amount he saves each week.
Answers
Answer:
$8
Step-by-step explanation:
60% of 30 is 16.
1/2 of 16 is 8.
He has $8 left.
What is the value of the function y= 2x– 3 when X=-1?
-5
-1
2
3
Answers
Answer:
-5
Step-by-step explanation:
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.)
Answers
Answer:
#carryonlearning
Step-by-step explanation:
#carryonlearning
Each train car holds 71 passengers. About how many train cars
would be needed to carry 567 people?
Answers
567/71 because passengers/(train cars/passengers) = train cars
71 x 7 = 497 (not enough)
71 x 8 = 568 (enough)
Answer: 8 train cars
polynomials functions please help
Answers
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.
Last week robin ran 15 miles over seven days how many miles did she run per day show or explain how you get your answer
Answers
Answer:
2.14
Step-by-step explanation:
15 miles ➗ 7 days = 2.14
Help I need help ASAP
Answers
do the brackets first because of bidmas the brackets = 32 and 32x32=1024
Weight is a measure of force affected by gravity. The Moon's
gravity is less than Earth's gravity, so objects weigh less on
the Moon than on Earth.
Using the information provided, how much do you think
a cat will weigh on the Moon? Explain your reasoning.
Tell it step by step
Answers
I think I need to know what the cat weighs first...
You have 400 euros. What is this amount in US dollars?
Help me pls i will mark the best answer brainlist
Answers
Answer:
452.38 US dollars.
Step-by-step explanation:
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.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
Ty factored 24a + 36c and got an answer of 3(8a + 12c). Did Ty factor correctly?
If not, explain what he did wrong and correct his mistake.
Answers
No he did not factor correctly. He needed to factor completely which would get 12(2a+3c)
Percy has a coin collection. He has five pennies for every 33 dimes. If Percy has 1515 pennies what is the total number of coins in his collection?
Answers
Answer:
1515
Step-by-step explanation:
Determine a series of transformations that would map Figure O onto Figure P.
Answers
Answer:
OP question dude..
Step-by-step explanation:
Over Powered
which expression is equivalent to 2(5 - 3x)
First answer gets Brainliest!
Answers
Answer: 10 - 6x
2 x 5 = 10
2 x 3 = 6
therefore: 10 - 6x
I hope this helps!
Answer:
the answer is 10-6x
Step-by-step explanation:
by multiplying 2 by 5 and -3x
u will get ur 10-6x
Dilations map lines to lines.
true or false ?
Answers
Answer:
true
Step-by-step explanation:
find the length of segment AB
Answers
Answer:
26
Step-by-step explanation:
AB=CB so
3x+8=7x-16
-4x=-24
x=6
then plug that x value into the length which is 3x+8
so 3(6)+8=18+8=26
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
m is mass in grams
M is molar mass
Thus;
0.54 = m/40.1
m = 40.1 × 0.54
m = 21.654 g
Approximately m = 22 g
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A store had 64 hats on stock on friday. They had 48 left on Saturday. The amount went down by 16. PLS HELP!!!
Answers
Answer:
if you need to plot what percent they have left its 75%, i you have to plot how much decreased it would be 25%> Hope this helped!
Step-by-step explanation:
Pleeeeeeeeeeaaaaaaaaaaase help
Answers
Answer:
its 100
Step-by-step explanation:
The question is asking what is ∠ABD, you have to look at when A=0 on the projector, so if you follow along the 0° from A, when it reaches D, the project reads 100°
no guessing here,
you know 80° cannot be correct because this angel is obtuse and not acute
which means greater that 90°
The value of a baseball card can be represented by the equation y=3x+39,where x represents the number of years that Robert has owned the card and y represents the total value,in dollars,of the card.What was the value of the card when Robert originally purchased it?
Answers
Answer:
Im pretty sure it's $39
Step-by-step explanation:
if x=0 it cancels out leaving y=39
A company claims that their new bottle holds 25% more laundry soap. If their original container help 48 fluid ounces of soap, how much does the new container hold?
Answers
Someone help me on B and C!!!!
Answers
Answer:
(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:
If you like my answer than please mark me brainliest thanks
[tex]\bf 2x-4=10[/tex]
Answers
Answer:
x = 7
Step-by-step explanation:
Add 4 on both sides to get 2x = 14, then divide 2 on both sides to get x = 7.
Hope this helps :)
14) When simplified, -2(x + 1) - 4(x - 3) is equivalent to
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:
-2x - 4x + 12 - 2 = -6x + 10
BRAINLIEST
I could really use your help
Answers
Answer:
12 : 126
Step-by-step explanation:
Dc=28 there for the angle is 28
Step-by-step explanation:
the KL angle is 72
24 marbles were shared equally amongst a group of children. each child received 4 Marbles how many children were in the group?
Answers
Answer:
6
Step-by-step explanation:
24/6=4
6x4=24
6+6=12
6+6=12 12+12=24
Solution:
Given,
No. of marbles =24
No. of marbles each child received=4
No. of children in the group=?
Here,
No. of children in the group = No. of marbles/
No. of marbles
each child received
=24/4
=6
Hence, There were 6 children in the group.