Answers
Answer:
[tex]\sqrt{72a^8b^5} = 6a^4b^2 \sqrt{2b}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{72a^8b^5[/tex]
Required
Simplify
Express 72 as 36 * 2
[tex]\sqrt{72a^8b^5} = \sqrt{36 * 2*a^8b^5}[/tex]
Express [tex]b^5[/tex] as [tex]b^4*b[/tex]
[tex]\sqrt{72a^8b^5} = \sqrt{36 * 2*a^8*b^4*b}[/tex]
Reorder
[tex]\sqrt{72a^8b^5} = \sqrt{36 *a^8*b^4* 2*b}[/tex]
Split:
[tex]\sqrt{72a^8b^5} = \sqrt{36} *\sqrt{a^8} *\sqrt{b^4} * \sqrt{2*b}[/tex]
Simplify each term
[tex]\sqrt{72a^8b^5} = 6 * a^{\frac{8}{2}} * b^{\frac{4}{2}} * \sqrt{2*b}[/tex]
[tex]\sqrt{72a^8b^5} = 6 * a^4 * b^2 * \sqrt{2*b}[/tex]
[tex]\sqrt{72a^8b^5} = 6a^4b^2 * \sqrt{2*b}[/tex]
[tex]\sqrt{72a^8b^5} = 6a^4b^2 \sqrt{2b}[/tex]
Related Questions
what is the sum of 4x+4 and 4x^2-10x-4
Answers
Answer:
1. 4(x+1)
2. 2(2x2−5x−2)
Help, help!!! Please:)
Answers
Answer: b
Step-by-step explanation:
Which relationships describe angles 1 and 2 ?
select each correct answer
-complementary angles
-vertical angles
-supplementary angles
-adjacent angles
Answers
The sides of a triangle have lengths 10, 16, and 18. What kind of triangle is it?
is it acute right or obtuse ?
Answers
At which value in the domain does f(x) = 0?
Answers
Answer: C (x=1)
Step-by-step explanation:
f(x)=0 at points of intersection of the graph of the function with x-axis.
The graph of the function intersects x-axis at three points:
somewhere between -3 and -2;
somewhere between -1 and 0;
at x=1.
Since x=1 is the value of x from the domain, then correct choice is option C.
PLZ HELP VERY EASY BRAINLIEST
Identify a pair of mutually exclusive events and a pair of independent events.
Answers
Help on No. 4 plz..............
Answers
Answer:
12Step-by-step explanation:
to understand thisyou need to know about:similarityPEMDASgiven:scale factor:2:5SV:30TIPS AND FORMULAS:SV~QRlet's solve:according to the question
[tex]step - 1 : define[/tex]
[tex] \frac{2}{5} \times 30[/tex]
[tex]step - 2 : simplify[/tex]
[tex] \frac{60}{5} [/tex]
[tex] \huge 12[/tex]
Here are some equations that contain a variable and a list of values. Think about what each equation means and find a solution in the list of values. If you get stuck, draw a diagram. Be prepared to explain why your solution is correct.
1000−a=400
12.6=b+4.1
8c=8
2/3d=109
10e=1
10=0.5f
0.99=1−g
h+37=1
Answers
Answer:
1.) a=600
2.)b=8.5
3.)c=1
4.)d=163.500
5.)e=0.1
6.)f=20
7.)g=0.010
8.)h=-36
Step-by-step explanation:
A merry go round rotates 2808 degrees per ride. How far would a rider seated 8 feet from the center of the merry go round travel during the ride?
Answers
Answer:
Step-by-step explanation:
2880° per ride doesn't make sense, because it is not a whole number.
Do you mean 2880° per ride?
r = 8 feet
circumference = 2πr = 16π feet
2880° × (16π feet)/(360°) = 128π feet ≅ 402 feet
A rider seated 8 feet from the merry-go-center round would travel 392.2 feet during the ride.
What is circumference?The circumference is the distance that surrounds a circle. We can measure the circumference of the earth by measuring the distance that we will have to walk all the way around the world.
Given, A merry go round rotates 2808 degrees per ride. A rider is seated 8 feet from the center.
Thus r = 8 feet
Circumference = 2πr
Circumference = 2π*8
Circumference = 16π
Distance traveled by that man = 2808* 16π/360
Distance traveled by that man = 392.22 feet
therefore, a rider seated 8 feet from the center of the merry-go travel during the ride would travel 392.2 feet.
Learn more about circumference here:
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What is the solution to this system of equations?
Answers
Answer:
The fourth option i.e. 'no solution' is correct.
Step-by-step explanation:
Given the system of equations
[tex]\begin{bmatrix}\frac{2}{3}x+y=6\\ -\frac{2}{3}x-y=2\end{bmatrix}[/tex]
Adding both equations
[tex]-\frac{2}{3}x-y=2[/tex]
[tex]+[/tex]
[tex]\underline{\frac{2}{3}x+y=6}[/tex]
[tex]0=8[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}\frac{2}{3}x+y=6\\ 0=8\end{bmatrix}[/tex]
0 = 8 is FALSE!
Therefore, the system of equations has no solution.
Thus,
No Solution!
Hence, the fourth option i.e. 'no solution' is correct.
Plz help I will mark barinlest
Answers
Answer: try -2
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
If we use PEMDAS, we know that we need to do the multiplication and division first. (1/2)^4 is equal to 1^4/2^4, which is 1/16. Next, 1/16 * 32 is equal to 2. Finally, we do 6 divided by 3, which is 2. 2 - 2 is equal to 0, so the answer is 0.
Help someone please
Answers
Answer:
a) 2/3
b) 1/9
c) 52/99
d) 2/11
e) 743/999
f) 29/111
Step-by-step explanation:
Take the recurring numbers (numbers after the decimal). If there is one recurring number place it over 9, if there are two then place them over 99, if there are three then place them over 999 etc.
Then simplify (if possible).
a) 6/9 = 2/3
b) 1/9
c) 52/99
d) 18/99=2/11
e) 743/999
f) 261/999=29/111
If n-3/4=2/3 , then which of the following is true?
3 n – 9 = 6
3 n – 3 = 8
3 n – 9 = 8
3 n – 3 = 6
Answers
Answer: C
3 n – 9 = 8
Step-by-step explanation: Hope this helps:)
Answer:
3 n - 9 = 8
Step-by-step explanation:
I have like 20 minutes to finish this
Answers
Step-by-step explanation:
[tex]6.[/tex]
[tex] \frac{1}{2} = \frac{1.5}{3} \: \: \: \: \: Less \: \: Than \: \frac{2}{3} [/tex]
[tex] \frac{8}{12} = \frac{2}{3} \: \: \: \: \: Equal \: \: To \: \frac{2}{3} [/tex]
[tex] \frac{3}{8} = \frac{1.125}{3} \: \: \: \: \: Less \: \: Than \: \frac{2}{3} [/tex]
[tex] \frac{10}{15} = \frac{2}{3} \: \: \: \: \: Equal \: \: To \: \frac{2}{3} [/tex]
[tex] \frac{4}{5} = \frac{2.4}{3} \: \: \: \: \: Greater \: \: Than \: \frac{2}{3} [/tex]
[tex] \frac{9}{10} = \frac{2.7}{3} \: \: \: \: \: Greater \: \: Than \: \frac{2}{3} [/tex]
[tex]7.[/tex]
[tex]Kenny = \frac{1}{8} [/tex]
[tex]Gail = \frac{2}{4} [/tex]
[tex] \frac{1}{8} ? \frac{2}{4} [/tex]
[tex]\frac{1}{8} ? \frac{2 \times 2}{4 \times 2} [/tex]
[tex] \frac{1}{8} < \frac{4}{8} [/tex]
[tex] \frac{1}{8} < \frac{2}{4} [/tex]
[tex]Gail \: \: ate \: \: more \: \: than \: \: Kenny[/tex]
Plz guys help me plz
Answers
Answer:
option d 11 .......substitute 2 inplace of x
The coordinates below are the three vertices of a rectangle. Identify the fourth
coordinate and the area of the rectangle.
(4 points
O 07.21.45 units squared
O 12.7).45 units squared
O 07.21.28 units squared
O 12.7). 28 units squared
Answers
Answer:
(7,2)
45 units squared
Step-by-step explanation:
In order for the shape to be a rectangle the last vertex (lets call it D) must be the same vertical distance from C as A is from B (DC=AB), and the same horizontal distance from A as B is from C (AD=BC).
AB=DC=5
-3+5=2
BC=AD=9
-2+9=7
Therefore D is (7,2)
We already know the side lengths (5 and 9). Area is length by width. Therefore area = 5x9=45
Solve the system of equations by elimination. Explain your reasoning or show your work.
4x+6y=44 and 4x+2y=28
Answers
Answer:
x=3 ,y=6
Step-by-step explanation:
4x+6y=44 eqni
4x+2y=28 eqn ii
now subtract it eqn i and ii
4x+6y=44
-4x+2y=28
or, 0 +4y=24
or, 4y=24
or , y=24/4
or,y=6
putting value of y in eqn i
4x+6y=44
4x+6×6=44
4x=44-36
4x=12
x=12/4
x=3
6 more than a quotient of nine and a number p
Answers
Answer:
9/p+6
Step-by-step explanation:
4x – 3y = 18
Determine the missing coordinate in the ordered pair (5, ?) so that it will satisfy the given equation.
Answers
Answer:
Step-by-step explanation:
when x=5, 4(5)-3y=18
3y=2
y=2/3
The coordinate would be(5,2/3)
Eva earned the following test scores in science: 82, 100, 96, 90, 91 Ms. Wade entered the next score as 0 because Eva was absent on test day and hadn’t had a chance to make up the test. Which statements are true based on the data? Check all that apply. After adding the 0 test score, the mean would be the most appropriate measure of center to describe the data. After adding the 0 test score, the mean would be affected. After adding the 0 test score, the median would be the most appropriate measure of center to describe the data. Before the missed test, Eva’s median score was 96. Before the missed test, Eva’s median score was 91. Before the missed test, Eva’s mean score was 91.8.
Answers
Answer:
2,3,5,6
Step-by-step explanation:
Answer:
2,3,5,6 just did test and im from future edge 2023
Step-by-step explanation:
A boat can travel 228 miles on 19 gallons of gasoline. How much gasoline will it need to go 204 miles?
Answers
Select the correct answer.
de.
Currently there are 691,255 trees in a national forest. A park ranger discovered that an
untreatable disease is killing the trees at a rate of 1.5% every year.
Let t represent the number of years after the current date. Determine the inequality that can be
used to model when there will be no more than 621,859 trees, and then solve the inequality for t.
CHECK ATTACHMENT FOR OPTIONS
Answers
Answer:
691,255(0.985)t ≤ 621,859; t ≥ 7
Step-by-step explanation:
i just did it. it was C
Answer:
Yes it is corect,
C
Step-by-step explanation:
The value of the expression 2(3) +3(2)–3x4–5(2)-5+(7x4) is
or
the value of 2 to the 3rd power + 3 to the second power - 3 * 4 - 5 to the second power divided by 5 + (7 * 4)
Answers
Answer: 28
When you simplify it down, you get:
8 + 9 - 12 - 5 + 28.
When you combine all like terms, you get 28.
Also, proof is shown in the image below.
The value of the expression 2³ + 3² – 3 x 4 – 5² ÷ 5 + (7 x 4) using PEMDAS rule is 28.
We have,
Expression:
2³ + 3² – 3 x 4 – 5² ÷ 5 + (7 x 4)
Using the PEMDAS rule.
Remove the parenthesis.
2³ + 3² – 3 x 4 – 5² ÷ 5 + 28
Simplify the exponents such as 2³, 3², and 5².
8 + 9 - 3 x 4 - 25 ÷ 5 + 28
Simplify the multiplication such as 3 x 4.
8 + 9 - 12 - 25 ÷ 5 + 28
Simplify the division such as 25 ÷ 5.
8 + 9 - 12 - 5 + 28
Simplify the addition and subtraction.
28
Thus,
The value of the expression is 28.
Learn more about expressions here:
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A rectangular park is 100 yards wide and 150 yards long.
Give the length and width of another rectangular park that has the same perimeter but a larger area.
Please help me
Answers
Answer:
ok
Step-by-step explanation:
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 421 gram setting. It is believed that the machine is underfilling the bags. A 21 bag sample had a mean of 416 grams with a standard deviation of 29. A level of significance of 0.025 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Answers
Answer:
Zstatistic < Zcritical ; then we reject the null
-0. 790 > - 1.96
Hence, we fail to reject the Null
Step-by-step explanation:
Define the null and alternative hypothesis :
H0 : μ = 421
H1 : μ < 421
Given that :
Sample mean (x) = 416
Sample standard deviation, s = 29
α = 0.025
Sample size, n = 21
This is a lef tailed teast, hence if ;
Decision Rule :
Zstatistic < Zcritical ; then we reject the null
Zcritical at α = 0.025 (1 tailed) = - 1.96
Zstatistic = (x - μ) s/sqrt(n)
(416 - 421) / 29/sqrt(21)
Zstatistic = - 5 / 6.3283188
Zstatistic = - 5 / 6.3283188 = - 0.79
-0. 79 > - 1.96
Hence, we fail to reject the Null
A rectangular flower bed is 7 m long. If the boundary
around the bed is 22 m long, find its breadth. Also,
find its area.
need full solution
Answers
As we know that
[tex]\sf \blue{Perimeter = 2(l + b)}[/tex]
22 = 2(7 + b)22 = 14 + 2b 22 - 14 = 2b8 = 2b[tex]\sf \: \dfrac{8}{2} = b[/tex][tex]\bold{\boxed{b=4} }[/tex] Breadth = 4 m.Now,
[tex]\sf \orange{Area = l \times b}[/tex]
[tex]Area = 7 \times 4[/tex][tex]\sf \: Area = 28 \: {m}^{2}[/tex]Area=28[tex]\bold{ m^2 }[/tex]
Jenny planned to solve 2/3 of her homework problems on Saturday. However, she got home late and had less time than planned. As a result, she solved only 7/8 of the problems she planned to solve. How many problems were in Jenny's homework if she solved 28 on Saturday?
Answers
Answer:
48 problemsStep-by-step explanation:
Jenny planned to solve 2/3 of homework
On Saturday she solved 28 problems, which is 7/8 of the planned number
Planned number is:
28 : 7/8 = 28 * 8/7 = 32 problemsJenny's homework was:
32 : 2/3 = 32 * 3/2 = 48 problemsAnswer:
48 problems
Step-by-step explanation:
trust me, I do RSM too.
Help plz:)))I’ll mark u Brainliest
Answers
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
We can write a proportion relating the short segment to the full length:
(x+1)/18 = 4/(4+5)
x +1 = 8 . . . . . . multiply by 18 and simplify
x = 7 . . . . . . . . subtract 1
Which step should be taken to find the quotient of 132.9 ÷ 1,000?
A. Move the decimal point in 132.9 two places to the right.
B. Move the decimal point in 132.9 two places to the left.
C. Move the decimal point in 132.9 three places to the right.
D. Move the decimal point in 132.9 three places to the left.
Answers
Answer:
D. Move the decimal point in 132.9 three places to the left.
Step-by-step explanation:
Multiplication of a decimal by the nth power of 10:
We move the decimal point n places to the right.
Division of a decimal by the nth power of 10:
We move the decimal point n places to the left.
In this question:
There is a division by 1000, which is the 3rd power of 10, because [tex]10^3 = 1000[/tex]
So, we should move the decimal point three places to the left, and the correct answer is given by option D.
A sample survey of 62 discount brokers showed that the mean price charged for a trade of 100 shares at $50 per share was $31.22. The survey is conducted annually. With the historical data available, assume a known population standard deviation of $19. (a) Using the sample data, what is the margin of error in dollars associated with a 95% confidence interval? (Round your answer to the nearest cent.) $ (b) Develop a 95% confidence interval for the mean price in dollars charged by discount brokers for a trade of 100 shares at $50 per share. (Round your answers to the nearest cent.) $ to $
Answers
Answer:
a) The margin of error associated with a 95% confidence interval is of $4.73.
b) $26.49 to $35.95
Step-by-step explanation:
Question a:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96*\frac{19}{\sqrt{62}} = 4.73[/tex]
The margin of error associated with a 95% confidence interval is of $4.73.
Question b:
The lower end of the interval is the sample mean subtracted by M. So it is 31.22 - 4.73 = $26.49
The upper end of the interval is the sample mean added to M. So it is 31.22 + 4.73 = $35.95
So $26.49 to $35.95