Simplify.
Remove all perfect squares from inside the square root.
√56z^7

Simplify.Remove All Perfect Squares From Inside The Square Root.56z^7

Answers

Answer 1

Answer:

[tex]2[/tex][tex]z^{3}[/tex][tex]\sqrt{14z}[/tex]

Step-by-step explanation:

Answer 2

The simplified form of  √56z⁷  is 2z³√(14z⁴ ) in the given question.

To simplify √56z⁷, we can break down the number 56 into its prime factors and remove any perfect square factors from inside the square root.

When simplifying a square root expression, removing perfect square factors from inside the square root helps simplify the expression further. This is because the square root of a perfect square is a whole number.

First, let's factorize 56:

56 = 2 * 2 * 2 * 7

Since 2 is a perfect square, we can remove it from inside the square root:

√56z⁷  = √(2 * 2 * 2 * 7 * z⁷ )

Simplifying further:

√56z⁷ = 2z³√(2 * 7 * z)

Therefore, the simplified form of √56z⁷  is 2z³ √(14z⁴ ).

To know more about  "squares."  here

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Related Questions

Help..................

Answers

Triangle has 180 degrees:
180=2m-3+m+4+3m+5
Combine like terms
180 = 6m+6
Subtract 6 from 180
174=6m
Divide by 6
m=29

Brainliest if that helped, please :)
The sum of all the angles in a triangle is 180°.

(m+4) + (3m+5) + (2m-3) = 180°

m + 4 + 3m + 5 + 2m - 3 = 180°

6m + 6 = 180°

6m = 180° - 6

6m = 174

m = 29°

using the table find the value of y when x=2

Answers

Answer:

y = 8 when x = 2

Step-by-step explanation:

y = 4x

Is this sample biased?

Answers

Answer:

No, this sample is not biased.

Step-by-step explanation:

Everyone in the grocery store has a fair chance of getting picked for the survey.

I hope this helped!! :3

No because she doesn’t know the 25th customer. It is fair and nobody gets an advantage

Find the annual percentage rate of change for the population of Oregon. In 2000, there were 4.8
million people, and in 2010, there were 8.7 million people.

Answers

Answer:

The annual percentage rate of change for the population of Oregon is of 8.125%.

Step-by-step explanation:

Total percentage change:

Change multiplied by 100 and divided by the initial value.

Change: 8.7 - 4.8 = 3.9 million

Initial value: 4.8

Percentage change: 3.9*100/4.8 = 81.25%

Annual percentage rate of change

81.25% during 10 years(from 2000 to 2010).

So, per year

81.25%/10 = 8.125%

The annual percentage rate of change for the population of Oregon is of 8.125%.

please help pleaseeeeeee

Answers

Answer:

B

Step-by-step explanation:

it's basically 2+7

Answer:

it would be C

Step-by-step explanation:

solve the inequality and describe the solution set y-6 >12

Answers

Answer:

y>18

Step-by-step explanation:

Move all terms not containing y to the right sideof the inequality.

Inequality Form:

y>18

What is x and y please help

Answers

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Step-by-step explanation:

Can someone help me please and show work thank you

Answers

Answer:

60% decrease

Step-by-step explanation:

To work out percentage change you takeaway the original number by the new number (New number-Original number) in this case 24-60=(-36), then divide the decreased amount by the original number and multiply the answer by 100 (Decrease amount ÷ Original number x 100) for this question you'd do (-36)÷60=(-0.6) then (-0.6)x100=(-60).

The minus shows its a decrease in percentage by 60%

(I hope this helps srry if it doesn't make sense)

Is a rhombus a rectangle.
yes or no

Answers

No, it is not a rectangle.

Answer:

No a rhombus is not a rectangle

Step-by-step explanation:

Item 5
Which measure of central tendency best describes the data?

47, 47, 48, 54, 102, 45, 100, 48, 83


either mean or median

median only

mean only

Answers

Answer:

the answer is either mean or median because you can find both of them given the data

If I need a big toilet how much money will it be the average is 100 money but I need 100 times that!!!!

Answers

Answer:

What the feek?

Step-by-step explanation:

please help it due rn​

Answers

Answer:

B) (1/2, -8)

Step-by-step explanation:

(1, -6) and (0, -10)

Midpoint formula:

((x1+x2)/2, (y1+y2)/2)

Solving for x:

(x1+x2)/2

(1 + 0)/2

1/2

Solving for y:

(y1+y2)/2

(-6-10)/2

(-16)/2

-8

A net force acting on a 5.0 kg box produces an acceleration of 4.2 m/s2. What
acceleration will the same net force cause on a 2.8 kg box?

Answers

Answer:

14 N

Step-by-step explanation:

Let the mass of the box be m.

F = ma → F = 5 x 4.2 = 21 N

When mass = 2.8 kg, let the acceleration is a. For same force:

=> 21 = a x 2.8

=> 21/2.8 = a

=> 7.5 m/s² = a

Answer:

7.5M/s^2

Step-by-step explanation:

Peter’s teacher says he may have his report card percentage based on either the mean or the median and he can drop one test score if he chooses. 84%, 71%, 64%, 90%, 75%, 44%, 98% Which measure of center should Peter choose so he can have the highest percentage possible? Peter should choose the mean after dropping one test score. Peter should choose the mean without dropping one test score. Peter should choose the median after dropping one test score. Peter should choose the median without dropping one test score.

Answers

Answer:

it number 3 ok look it up

Step-by-step explanation:

my user name on  is john_wick4732

Answer:

The answer is A) Peter should choose the mean after dropping one test score

Step-by-step explanation:

please mark brainlest if im right please :3

A car travels 120 miles every 4 hours. How far does the car travel in 3 hours?

Answers

Answer:

90 miles

Step-by-step explanation:

120/4 = 30

30 m/hour

3 hours = 30x3 = 90 miles

Please help with this

Answers

Answer:

[tex]S_{25}=555[/tex]

Step-by-step explanation:

Given that,

In an AP, the 6th term is 39 i.e.

[tex]a_6=a+5d\\\\39=a+5d\ ....(1)[/tex]

In the same AP, the 19th term is 7.8 i.e.

[tex]a_{19}=a+18d\\\\7.8=a+18d\ ......(2)[/tex]

Subtract equation (1) from (2).

7.8 - 39 = a+18d - (a+5d)

-31.2 = a +18d-a-5d

-31.2 = 13d

d = -2.4

Put the value of d in equation (!).

39 = a+5(-2.4)

39 = a- 12

a = 39+12

a = 51

The sum of n terms of an AP is given by :

[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

Put n = 25 and respected values,

[tex]S_{25}=\dfrac{25}{2}[2(51)+24(-2.4)]\\\\=555[/tex]

Hence, the sum of first 25 terms of the AP is equal to 555.

Help!!!!!!!!!!!!!!!!!!!!!!

Answers

Hey man what you have to do is multiple all the sides

Answer:

137

Step-by-step explanation:

try this answer

SOMEBODY HELP ME ASAP PLSSSS ​

Answers

Answer:

A

Step-by-step explanation:

When finding out which number is the greatest, I would convert these numbers to numerals with decimals for easier comparison.

3[tex]\sqrt{5}[/tex] is approximately 6.71.

6[tex]\frac{1}{4}[/tex] is 6.25

6.55 is, well 6.55.

From here, we can tell that 6.71 is the greatest, followed by 6.55 and 6.25 is the smallest. Thus, the order in descending order should be 3[tex]\sqrt{5}[/tex], 6.55 then 6[tex]\frac{1}{4}[/tex], which is Option A.

A box of ceral contains 10 cups . if each bowl holds 1 1/4 cups of cearal. how many bowls of ceral will you get out of the box

Answers

The answer is 8, I got this question a long time ago so I know if wrong please tell me.

Steve wants to buy 40 markers for school. Markers come in packages of 10. How many packages of markers will Steve need to buy?

Answers

Answer:

steve need to buy 4 packages.

Step-by-step explanation:

1 package=10markers. 40 marker= 40/10=4

Answer:

4

Step-by-step explanation:

40/10 = 4/1 = 4

in the problem 12+58=70,12 and 58 are called factors true or false

Answers

Answer:

false

Step-by-step explanation:

Answer:

false they are called addend s

Find the value of k that makes the function continuous

Answers

Answer:

13/3

OR

4.33333

Step-by-step explanation:

For this function to be continuous, the second function must have the value of the limit as x approaches 3 of the first function.

To find [tex]\lim_{x \to 3} \frac{2x^2-3-15}{x-3}[/tex] we have to factor the top of the fraction

2x^2 - 3 -15

2x^2 - 18

2* (x^2 - 9)

2 * (x + 3) (x - 3)

this is perfect because this cancels out the x - 3 on the bottom

so the function become f(x) = 2 * (x + 3)

When 3 is plugged in it becomes 2 * (3 + 3) = 2 * 6 = 12

Now if you plug in 3 to the second function and make it equal to 12, you can find the value of k.

k*(3) - 1 = 12

k*3 = 13

k = 13/3

k = 4.33

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.
Find the derivative of the function using the definition of derivative.
State the domain of the function and the domain of its derivative.
f(x) = 1/10x-1/3

Answers

Answer:

(i) The derivative of the function is [tex]f' = \frac{1}{10}[/tex].

(ii) The domain of all first order polynomials (linear functions) is the set of all real numbers. That is:

[tex]Dom\{f(x)\} = \mathbb{R}[/tex]

The domain of all zero order polynomials (constant functions) is the set of all real numbers. That is:

[tex]Dom\{f'\} = \mathbb{R}[/tex]

Step-by-step explanation:

(i) Find the derivative of the function using the definition of derivative:

The derivative is defined by the following limit:

[tex]f' = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex] (1)

If we know that [tex]f(x) = \frac{1}{10}\cdot x - \frac{1}{3}[/tex], then the definition of derivative is expanded:

[tex]f' = \lim_{h \to 0} \frac{\frac{1}{10}\cdot (x+h) - \frac{1}{3}-\frac{1}{10}\cdot x +\frac{1}{3}}{h}[/tex]

[tex]f' = \lim_{h \to 0} \frac{\frac{1}{10}\cdot h }{h}[/tex]

[tex]f' = \lim_{h \to 0} \frac{1}{10}[/tex]

[tex]f' = \frac{1}{10}[/tex]

The derivative of the function is [tex]f' = \frac{1}{10}[/tex].

(ii) State the domain of the function and the domain of its derivative:

The domain of all first order polynomials (linear functions) is the set of all real numbers. That is:

[tex]Dom\{f(x)\} = \mathbb{R}[/tex]

The domain of all zero order polynomials (constant functions) is the set of all real numbers. That is:

[tex]Dom\{f'\} = \mathbb{R}[/tex]

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 403 gram setting. It is believed that the machine is underfilling or overfilling the bags. A 10 bag sample had a mean of 411 grams with a variance of 121. Assume the population is normally distributed. Is there sufficient evidence at the 0.01 level that the bags are underfilled or overfilled

Answers

Answer:

There is not sufficient evidence at the 0.01 level that the bags are underfilled or overfilled

Step-by-step explanation:

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 403 gram setting.

This means that the null hypothesis is:

[tex]H_{0}: \mu = 403[/tex]

Is there sufficient evidence at the 0.01 level that the bags are underfilled or overfilled:

This means that at the alternate hypothesis, we are testing if the mean is different than 403, that is:

[tex]H_{a}: \mu \neq 403[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Value of 403 tested at the null hypothesis:

This means that [tex]\mu = 403[/tex]

A 10 bag sample had a mean of 411 grams with a variance of 121.

This means that [tex]n = 10, X = 411, \sigma = \sqrt{121} = 11[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{411 - 403}{\frac{11}{\sqrt{10}}}[/tex]

[tex]z = 2.3[/tex]

Pvalue:

Testing if the mean is different of a value, and z positive, which means that the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 2.3

Looking at the z-table, z = 2.3 has a pvalue of 0.9893

1 - 0.9893 = 0.0107

2*0.0107 = 0.0214

0.0214 > 0.01, which means that there is not sufficient evidence at the 0.01 level that the bags are underfilled or overfilled

The ratio of dogs to cats at the Humane Shelter is 3:9. If there are 45 dogs at the Humane Shelter, how many cats are there?
A. 405
B. 120
C. 135
D. 110​

Answers

Answer:

c) 135

Step-by-step explanation:

dog ratio is 3

45 ÷ 3 = 15

therefore ratio 1 is 15

ratio 9

9×15 = 135

One angle of an isosceles triangle measures 76º. Which other angles could be in that
isosceles triangle? Choose all that apply.

Answers

Answer:

52 or 28

Step-by-step explanation:

An isosceles has 2 congruent angles.

There are 2 possibilities:

A) There are two 76-deg angles and one angle of a different measure.

76 + 76 + x = 180

x = 28

B) There are two congruent angles, and 76 is the non-congruent angle.

x + x + 76 = 180

2x = 104

x = 52

Answer: 52 or 28

(1 2/3 − 5/6 )*(4−1 1/5 )÷1 5/9

PLEASE HELP

Answers

Answer:

ㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋ:)

Step-by-step explanation:

Answer:

i got 1.4

Step-by-step explanation:

1 2/3 - 5/6 = 5/6 ≅ 0.8333333

4 - 11/5 = 9/5 = 1 4/5 = 1.8

5/6 * 14/5 = 7/3 = 2 1/3 ≅ 2.3333333

2 1/3 / 15/9 = 7/5 = 1 2/5 = 1.4

What is mZ1?
820
660
1

Answers

Answer:

∠1 = 148°

Step-by-step explanation:

the triangle interior angles = 180°

the unknown interior angle = 180° - 82° - 66° = 32°

∠1 = 180° - 32° = 148°  because it is supplementary to 32°  (adds together to total 180°)

2825
2072
2733
2069
2484
4285
2862
3353
1449
2029
1285
2982
2045
1677
1619
2597
3512
2444
1773
2284
1884
2359
2046
2364
2669
3109
2804
1658
2207
2159
2207
2882
1647
2051
2202
3223
2383
1732
2230
1147
2711
1874
1979
1319
2923
2281
1230
1665
1294
2936
Find meanfi

Answers

9514 1404 393

Answer:

  2271.08

Step-by-step explanation:

The total of the 50 numbers is 113554. Then their mean is ...

  113554/50 = 2271.08 . . . . the mean

Solve for n:5*8^3n+1=80

Answers

Answer:

8^(3n+1) = 80/5

8^(3n+1) = 16

(2^3)^(3n+1) = 2^4

2^(3*(3n+1) = 2^4

Having same power so;

9n+3 = 4

9n = 4-3

9n = 1

n = 1/9

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