Answers
9514 1404 393
Answer:
ddStep-by-step explanation:
1. The cube root is found by dividing the exponents by 3.
[tex]\sqrt[3]{27a^{12}}=(3^3\cdot a^{12})^{\frac{1}{3}}=3^{\frac{3}{3}}\cdot a^{\frac{12}{3}}=\boxed{3a^4}\qquad\text{matches d}[/tex]
__
The factoring of the difference of cubes is ...
a³ -b³ = (a -b)(a² +ab +b²)
Here, we have a=r^9 and b=s^10, so the factorization is ...
[tex]r^{27}-s^{30}= (r^9-s^{10})(r^{9\cdot2}+r^9s^{10}+s^{10\cdot2})\\\\=\boxed{(r^9-s^{10})(r^{18}+r^9s^{10}+s^{20})} \qquad\text{matches d}[/tex]
Related Questions
Caroline bought movie tickets for three Children and a bucket of popcorn for $9.50. If she spent a total of $35.75, how much was each movie ticket?
Answers
Answer:
$8.08
Step-by-step explanation:
First subtract 9.50 from 35.75 to get
24.25
Then divide 24.25 by 3 to get
Approx $8.08
What is the exact area of a circle having diameter 3 in.?
Answers
Answer:
2.25π square inches
Step-by-step explanation:
Area = π[tex]r^{2}[/tex]
Diameter = 2r
So in this case, radius = 1.5 inches
Plugging that into the area formula produces the answer
Which equation is equivalent to 15 +80 ?
Answers
Answer:
is a lot of them
Step-by-step explanation:
94+1, 95+0, 79+16
Answer: 5(3+16)
Step-by-step explanation:
5x(3+16) = (3+16= 19) = 5 x 19 = 95 which is equivalent to 15 + 80 = 95
brainliest plz
(25-a) divided by 7=3
Answers
Answer:
a = -0.57
rounded to the nearest tenth: a = -0.6
Step-by-step explanation:
(25 - a) ÷ 7 = 3
25 - a ÷ 7 = 3
25 ÷ 7 - a = 3
3.6 - a = 3
3.57 - 3.57 - a = 3 - 3.57
a = -0.57
The value of "a" in the equation (25 - a) ÷ 7 = 3 is 4.
To find the value of "a" in the equation (25 - a) ÷ 7 = 3.
we can solve for "a" by isolating it on one side of the equation.
(25 - a)/7 = 3.
Multiply both sides of the equation by 7 to get rid of the division:
7(25 - a)/7 = 3 × 7.
25 - a = 21.
To isolate "a," subtract 25 from both sides of the equation:
25 - a - 25 = 21 - 25.
Simplifying further, we get:
-a = -4.
Multiply both sides of the equation by -1 to solve for "a":
-1 × (-a) = -1× (-4).
a = 4.
Therefore, the value of "a" in the equation (25 - a) ÷ 7 = 3 is 4.
To learn more on Equation:
https://brainly.com/question/10413253
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What is the value of x?
Answers
Answer:
I'm so sorry I don't know how to do this
Step-by-step explanation:
Please help!!!! Don't worry, there's a bunch of points!
Answers
Answer:
103.8
Step-by-step explanation:
Length of diagonal of a cube is given by the formula:
Step-by-step explanation:
Martin has a vegetable garden that is 8 feet long and 5 feet wide. Next year, Martin wants to increase both the length and width of his vegetable garden by 15%. By what percent will the area of Martin’s vegetable garden increase with these changes?
Answers
Answer:
9.2 feet long and 5.75 feet wide
Helppppppppp. Me. Plzzzzzz
Answers
Answer:
the answer would be A because the x's are 1's
Which expression is the same as 1/8 of 3?
1. 3×8
2. 8÷3
3. 3÷8
4. 1/3×1/8
Answers
Answer:
The correct answer should be 3÷8
Answer:
3÷8
Step-by-step explanation:
(a) Write 0.7 as a percentage.
(b) Write 43.2% as a decimal.
help me
Answers
Answer:
.7 into a percentage is 70 percent
and 43.2 as a decimal is .432
(a) 0.7 as a percentage is 70%.
(b) 43.2% as a decimal is 0.432.
What is a percentage?
A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
0.7 and 43.2%.
To write decimal as a percentage:
Multiply by 100,
So,
0.7 x 100 = 70%
To write percentage as a decimal:
Divide by 100,
So,
43.2/100 = 0.432.
Therefore, the values are 70% and 0.432.
To learn more about the percentage;
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HELP I NEED HELP ASAP
The expression 12x^2-19x+4 represents the number of fish in Ann's pond. The
expression 10x^2+x-19 represents the number of fish in Samantha's pond.
Which expression represents the total number of fish in the two pond?
A. 22x^2+20x+23
B. 2x^2+20x-23
C. 2x^2-20x+23
D. 22x^2-18x-15
Answers
Answer:
D. 22x^2-18x-15
Step-by-step explanation:
12x²-19x+4 + 10x²+x-19
22x²-18x-15
1. Marie took out a loan for $250 for a Nintendo Switch. She plans to pay the 1 point
loan off in 18 months. At an annual interest rate of 7%, how much will Marie
have paid altogether for the Nintendo Switch? *
Answers
Answer: $276.25
Step-by-step explanation:
250 times .07 = 17.5
17.5 times 1.5 = 26.25
250 + 26.25 = 276.25
1) The regular price of a shirt is $15. A store is offering a discount of 30%. What is the
discount price of the shirt? [Think: what are you finding, the part (discount), the percent,
or whole (original price)]
Answers
Answer:
$10.50
Step-by-step explanation:
15 times 30 = 4.5
15-4.5=10.50
Benjamin uses a $20 bill to pay for his lunch. He received more than $5 in change. Which number line shows the possible cost of Benjamin's lunch?
Answers
Answer:
i dont see a number line, attach a pic pls
Step-by-step explanation:
What’s 10x10+294892-2387482=?
Answers
Answer:
557,510
Step-by-step explanation:
haha big brain(jk calculater)
Answer:
557,510
Step-by-step explanation:
caculator
theres another answer choice thats four but it got cut out please help pretty easy question
Answers
Answer:
We conclude that:
f(g(3)) = 2
Hence, option B is correct.
Step-by-step explanation:
Given the f(x) table
x 2 3 4 5
f(x) 0 1 2 3
Given the g(x) table
x 1 2 3 4
g(x) 1 2 4 8
We need to determine f(g(3)).
In order to determine f(g(3)), first, we need to determine g(3)
It is clear from the table of g(x),
at x = 3, g(3) = 4
so
f(g(3)) = f(4)
Now, we need to check the value of f(4) at x = 4 using the table f(x)
It is clear from the table of f(x),
at x = 4, f(4) = 2
Thus,
f(g(3)) = f(4) = 2
Therefore, we conclude that:
f(g(3)) = 2
Hence, option B is correct.
How long will it take a rocket traveling at 8 km/s to reach 20 km? (please include the equation)
Answers
Answer:
Step-by-step explanation:
Use the second kinematic formula
[tex]x_f-x_i=V_it+\frac{1}{2}at^2\\20=8t+\frac{1}{2}(9.8)t^2\\4.9t^2+8t-20=0[/tex]
Apply the quadratic formula to solve for time. The negative value does not matter because time cannot be negative, its impossible.
I got a value of t = 1.363 seconds
Solve please....................
Answers
Answer:
-5/2÷5/7
change to multiplication
-5/2×7/5
reduce the numbers of the greatest common factor of 5
-1/2×7
calculate the product
-1/2×7
the answer is -7/2
if I'm wrong sorry I used a math app to find the answer
PLEASE HELP!!!!
Will give Brainliest!!!
Write the equation of the line passing through the points (-1, 2) and (3, 4)
A)
y = 2x - 2
B)
y = 2x - 10
+
C)
y =1/2x + 5/2
D) y=1/2x-5/2
Answers
Answer:
D
Step-by-step explanation:
y_2 - y_1 / x_2 - x _1
4 - 2 / 3 - (-1) = 2/4 = 1/2
y +4 = 1/2 (x + 3) distributive property
y + 4 = 1/2x + 1.5
y= 1/2x - 5/2 subtraction (you subtract 4 from both sides) (-5/2 = -2.5)
therefore your equation is y = 1/2x - 5/2
hope this helps :)
Yolanda wants to burn a total of 900 calories. So far, she has burned 596.9 calories. How many more calories must Yolanda burn? calories X Х $ ?
Answers
Write an equation in point-slope form for the line that passes through (-4, 5) and has a slope of 1/2 .
Answers
Answer:
y=1/2x+7
Step-by-step explanation:
y-5=1/2(x-(-4))
y-5=1/2x+2
y=1/2x+7
Sandra can type 180 words in 3 minutes. At this rate, how many words can she type in 5 minutes?
Answers
Answer:
300
Step-by-step explanation:
180÷3=60
60x5=300
Answer: 300 words in 5 minutes
Step-by-step explanation:
divide 180 by 3 (equals 60)
multiply 60 by 5 to get your answer (300)
Which expressions are equivalent?
Answers
Answer:
what in the-
Step-by-step explanation:
im legally changing my name to G lol
Answer:
wow anime style
Step-by-step explanation:
Subtract h - 1 from
h+4.
Oh+5
o h+5
1h
4
h+3
Answers
Answer:
Step-by-step explanation:
(h + 4) - (h-1) = h + 4 + h*(-1) - 1*(-1)
= h + 4 - h + 1
= h - h + 4 + 1
= 0h + 5
Mrs. Avery is going to randomly select one student from her class to read a poem out loud. There are 15 boys and 13 girls in her class.
What is the P{boy}?
Answers
Find the area. Use 3.14 for pi
Answers
218 is the answer i think
ill mark u brainliest if u get it right
Answers
700 = 576 + 20x
Blue one
9 + 9h
=
10h + 2 is this infinite solution
Answers
Answer:
no, h=7
Step-by-step explanation:
9+9h = 10h+2
9=h+2
7=h
can someone please help
Answers
Answer:
x=3, y= - 2
Step-by-step explanation:
4x + 3y = 6
x-3y= 9
x=9+3y
4.(9+3y)+3y=6
36+12y+3y=6
15y = - 30
y = - 2
=> x= 9+3y
x= 9+ 3.(- 2)
x= 3
x=3y+9
4(3y+9)-3y=9
12y-3y+36=9
9y=-27
y=-3
x-3(-3)=9
x+9=9
x=0
(0,-3)
I NEEEED YOUR HELP DOES ANYONE KNOW HOW TO COMPLETE THISSS
Answers
Answer:
4/5
Step-by-step explanation:
Just divide both parts of the fraction by 7
28/7=4
35/7=5
Answer:
4/5
Step-by-step explanation:
Divide both the numerator and denominate by 7
28/7=4
35/7=5
