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Related Questions
Simplify 4(3x^2y^4)^3 / (2x^3y^5)^4
show your work
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Step by step solution :Step 1 :Equation at the end of step 1 : (((3•(x2))•(y4))3) 4•—————————————————— ((2x3•(y5))4) Step 2 :Equation at the end of step 2 : ((3x2 • (y4))3) 4 • ——————————————— 24x12y20 Step 3 : 33x6y12 Simplify ———————— 24x12y20 Dividing exponential expressions :
3.1 x6 divided by x12 = x(6 - 12) = x(-6) = 1/x6
Dividing exponential expressions :
3.2 y12 divided by y20 = y(12 - 20) = y(-8) = 1/y8
Equation at the end of step 3 : 27 4 • —————— 16x6y8 Step 4 :Final result : 27 ————— 4x6y8
The simplified expression is [tex]27/(16x^6y^8).[/tex]
We have,
To simplify the expression [tex]4(3x^2y^4)^3 / (2x^3y^5)^4,[/tex] we can simplify each part separately and then divide.
Let's simplify the numerator first:
[tex](3x^2y^4)^3 = 3^3 * (x^2)^3 * (y^4)^3 = 27x^6y^{12}[/tex]
Now, let's simplify the denominator:
[tex](2x^3y^5)^4 = 2^4 * (x^3)^4 * (y^5)^4 = 16x^{12}y^{20}[/tex]
Now we can divide the numerator by the denominator:
[tex](27x^6y^{12}) / (16x^{12}y^{20})[/tex]
To divide the variables with the same base, we subtract their exponents:
[tex]27/16 * x^{6-12} * y^{12-20}[/tex]
Simplifying further:
[tex]27/16 * x^{-6} * y^{-8}[/tex]
To make the exponents positive, we can move the variables with negative exponents to the denominator:
[tex]27/(16x^6y^8)[/tex]
Therefore,
The simplified expression is [tex]27/(16x^6y^8).[/tex]
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Please help :) Thanks!
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Answer:
Hi there!!
Since this is a positive slope, so we can use 3/1=3
The slope is 3
Uh yeah the answer is 20 1/12 but could you tell me the step by step process for this
ty!
WORTH 15 POINTS!!!
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First, let's do the numerator! 4.8 - 0.24 = 4.56. Now, let's simplify the denominator. 0.2 * 0.6 = 0.12
4.56 / 0.12 = 38
Hope this helps :)
Answer: 38 is the correct answer
Step-by-step explanation:
Help pls ASAP! i really need help!
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Answer:
76-24= 52
Explanation:
24
-___
=52
If u take 24 away from 76 the answer is 52 this is the biggest gap u can have with these numbers
i suck with this so can some one help
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Step-by-step explanation:
[tex]sa = 2\pi(r)(h) + 2\pi{(r) }^{2} [/tex]
[tex]sa = 2\pi(5)(2) + 2\pi{(5) }^{2} [/tex]
[tex]sa = 20\pi + 50\pi[/tex]
[tex]sa = 70\pi[/tex]
A recipe for 1 batch of cookies uses 5 cups of flour and 2 teaspoons of vanilla.
Complete the double number line diagram below to show the amount of flour and vanilla needed for 1,2,3,4, and 5 batches of cookies. MAKE SURE YOU FILL OUT THE DOUBLE NUMBER LINE COMPLETELY! Then use the double number line to answer these questions:
a) If you use 20 cups of flour, how many teaspoons of vanilla should you use?
b) If you use 6 teaspoons of vanilla, how many cups of flour should you use?
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b)2.3=6 therefore you should use 15 of four ( 5.3=15)
How many states were required to agree to the ratification of the Constitution?
6
7
9
13
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Answer: 9.
Instead, on September 28, Congress directed the state legislatures to call ratification conventions in each state. Article VII stipulated that nine states had to ratify the Constitution for it to go into effect. Beyond the legal requirements for ratification, the state conventions fulfilled other purposes.
Step-by-step explanation:Under Article VII, it was agreed that the document would not be binding until its ratification by nine of the 13 existing states. so the answer is 9.
9.
Answer:
Answer: 9 states.
Step-by-step explanation:
Which steps show how to use the distributive property to evaluate 5x58?
Answers
Answer:
C
Step-by-step explanation:
C will be the answer.
5X58=290
Label the equations in number 5-7 as True or False:
(7^1)^9= 7^5 x 7^5
y^13/(y^2)^6=y^-10x y^9
b^4xb^-6=b^1xb^3/b^6
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Answer:
[tex]{ \rm{ {(7}^{1}) ^{9 } = 7 {}^{5} \times {7}^{5} : \: { \tt{ \red{false}}} }} \\{ \boxed{ \mathfrak{correction \dashrightarrow \: ( {7}^{1}) {}^{9} = {7}^{9} }}} \\ \\ { \rm{ \frac{ {y}^{13} }{ {( {y}^{2}) }^{6} } = {y}^{ - 10} \times {y}^{9} : \:{ \tt { \red{false}}}}} \\ { \boxed{ \mathfrak{correction \: \dashrightarrow \: { \rm{{y}^{1} }}}}} \\ \\ { \rm{ {b}^{4} \times {b}^{ - 6} = \frac{ {b}^{1} \times {b}^{3} }{ {b}^{6} } }} \: : \: { \tt{ \green{true}}}[/tex]
Melinda has a garden that is in the shape of a perfect square. The length of each side is 16ft. Find the area and perimeter of her garden.
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Answer:
area: 256 ft²perimeter: 64 ftStep-by-step explanation:
The area of a square of side length s is ...
A = s²
The area of Melinda's garden is ...
A = (16 ft)² = 256 ft²
__
The perimeter of a square with side length s is ...
P = 4s
The perimeter of Melinda's garden is ...
P = 4(16 ft) = 64 ft
Easy work for extra points
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Answer:
i dont know
Step-by-step explanation:
Steve made $50 taking leafs and $75 mowing lawns. He gave 60% of his earnings to his mother. How much did Steve give to his mother?
Ps: pls show how you set up the problem!
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Answer:
Step-by-step explanation:
He gave $75 dollars to his mother
50+75=$125
$125 x 60% = 75
What number should be placed in the box to help complete the division calculation?
Numerical Answers Expected!
Answer for Blank 1:
Answers
Answer:
5
Step-by-step explanation:
7632/14=545.1428571429
PLEASE HELP!!!!! thx :)
Jorge makes a cylindrical birthday cake as shown in the figure. He slices it vertically
into two equal pieces, cutting directly through the center of the cake.
Which statement best describes the resulting cross section?
Answers
Answer: What are the statements.
comment on this and tell me plz ill help
Step-by-step explanation:
Answer:
You didn't show the figure
1/2?
cutting from middle is 1/2
HELP ME PWEAS
Jacob sells homemade skateboard decks for a profit of $27 per deck. He is considering switching to a new type of material that will increase his profit, as expressed by the function y = 32x, where x is the number sold and y is the amount of profit.
How many more dollars will Jacob earn on each skateboard deck if he switches to the new material? Explain how you found your answer. (5 points)
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Answer:in your equation it says (y=32x) which 32 will mean how much he is charging for each skateboard, x will be how many he sells, and y would be how much he makes from selling them. So if he sold 2 skateboards you would do
Step-by-step explanation:
What is the approximate area of the circle, in square centimeters? Use 3.14 for π (pi). Record your answer on the grid. then fill in the bubbles.
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6+12 ÷3x2-3x4
please solve step-by-step begginers
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Answer:
The answer is 2
Step-by-step explanation:
Hope this helps.
6+8-12
2
The ratio of boys to girls in the cafeteria is 2:3. If there are 135 kids in the cafeteria, how many are boys?
Answers
Answer:
54
Step-by-step explanation:
Let,
No. of boys = 2x
No. of girls = 3x
2x + 3x = 135
5x = 135
x = 135/5
x = 27
No. of boys = 2x = 2(27) = 54
Rick is setting up a model train track that is 5 5/6
feet long. No telephone pole is needed at the start of the track. However, along the track, he places a telephone pole
every
5/12
foot apart. How many telephone poles does he need? (Input number values only)
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Answer:
to understand this we will turn 5 5/6 into a inproper fraction 5 can be turned into 60/12 and 5/6 can be turned into 10/12 so this is equal to 70/12.
5 5/6=70/12
in 70 there are 14 pairs of 5's, 14x5=70
this means that he will need 14 telephone pole's
Jason left a bin outside in his garden to collect rainwater. He notices that 1 over 5 gallon of water fills 2 over 3 of the bin. Write and solve an equation to find the amount of water that will fill the entire bin. Show your work. Explain your answer in words.
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Answer:
We can set this up as a proportion
(1/5) gallon / (2/3) bin = x gallons / 1 bin cross-multiply
1/5 = (2/3)x multiply both sides by the reciprocal of 2/3 = 3/2
(3/2) (1/5) = x = 3/10 gallons fills the entire bin
Look at it this way......each 1/10 of a gallon fills 1/3 of the bin......so 3(1/10) gallons fills 3(1/3)bins....or
3/10 galons fills a whole bin....
please help me will give brainliest
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Answer:
you can do [tex]\frac{3}{2}x + \frac{1}{2}x + x = 180[/tex] or you can do 3x = 180
Step-by-step explanation:
Because
whats 1312755 x 3430975324578, first one to answer will get a brainliest
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1.0730547e+08
i think im not sure though
please help will give brainliest
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Answer:
4s
s+s+s+s
Step-by-step explanation:
WILL GIVE BRAINLIEST LIKE FIVE HEARTS THE WHOLE SHEBANG
The graph shows how many bottles a machine caps in a certain number of seconds.
Part A
What is the constant of proportionality, and what does it mean in this situation?
Use the drop-down menus to show and explain your answer.
The constant of proportionality is
Choose... (Either 15, 20, or 30)
; the machine caps
(20)
bottles in
Choose... (either one second, 15 seconds, or 1 minute)
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Evaluate the equation.
-8x = -90
A. x = 82
B. x= 45/4
C. x= - 45/4
D. x= -82
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Answer:
B. x=45/4
Step-by-step explanation:
because you divide -8 on both sides
and a negative with negative makes a positive. So 90/8.
Then divide by two to simplify. 45/4
pls help will mark brainliest
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Answer:
Answer and
Step-by-step explanation:
equation are attached
HELP PLEASE QUICKLY!!!!!
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Answer:
24 liters
Step-by-step explanation:
We know that j = 4d+4, d represents the number of days Wanda spent making jam, and j represents the amount of jam jarred.
Plug in d
j = 4(5)+4
j = 20+4
j = 24
Dylan started to write the expanded form of 3,687.89 as shown below.
3×1,000+6×100+7×1+9×(1100)
Which of the following does Dylan need to include to correctly complete the expanded form above?
A.
8×100+8×(1100)
B.
8×100+8×(110)
C.
8×10+8×(110)
D.
8×10+8×(1100)
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Answer:
Answer: A. 8×100+8×(1100)
Step-by-step explanation:
before removing the 0 from 1000, we got to add 100 and 1,000. then we remove the 0.
hope this helped.
..............................algebra
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pia is planting flowers. The number of tulips she plants is 4 more than half the number of daisies
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The expression that represents the number of tulips Pia planted is option A. x/2 + 4.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given that,
Number of daisies planted is represented by x.
Number of tulips planted is 4 more than half the number of daisies.
Half the number of daisies is x/2.
4 more than half the number of daisies is x/2 + 4.
Hence the number of tulips planted is given by the expression x/2 + 4.
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