Which number in the monomial 215x18y3z21 needs to be changed to make it a perfect cube?
3
18
21
215

Answers

Answer 1
We need to remember that:
                   xyz = (x)(y)(z)
if x, y and z are perfect cubes, then xyz would also be a perfect cube

Also, 
                 (x^n)^m = x^(mn)
if it is a perfect cube, then it can be factored into the expression (x^n)^3, wherein n is a whole number.

All should be a perfect cube, given

215x^18(y^3)(z^21)

By writing the terms separately, we would see which one is to be changed. 

215 = 5*43, we see this is not a perfect cube, we could changed it to 6^3 or 216

x^18=(x^6)^3

y^3=y^3
z^21=(z^7)^3

The other terms are perfect cubes except for the first one. So the correct answer would be the last option, 215 should be changed.
Answer 2

Answer:

D; 215

Step-by-step explanation:

EDGE


Related Questions

the length of a rectangle is 3 centimeters greater than its width the perimeter is 24 cm what are the dimensions of the rectangle

Answers

the width is nine and and the length is 3

If f(x)=2x-4, find f(q+1)
please show your work!

Answers

[tex]f(q+1)=2(q+1)-4=2q+2-4=2q-2[/tex]

If the function f(x) = 2x-4, the function f(q + 1) = 2q - 2

What is a function?

A function is a mathematical equation that shows the relationship between two variables.

Since if f(x)=2x-4, to find f(q+1), we proceed as follows.

Since we have the function  f(x) = 2x - 4, and we want to find f(q + 1). To find the function f(q + 1), we substitute x = q + 1 into the equation. so, we have that

f(x) = 2x - 4

When x = q + 1, we have that

f(x) = 2x - 4

f(q + 1) = 2(q + 1) - 4

Expanding the brackets, we have that

f(q + 1) = 2q + 2 - 4

= 2q - 2

So, f(q + 1) = 2q - 2

Learn more about function here:

https://brainly.com/question/29631554

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1/5 [4(x+2)-(3-x)]=4

Answers

3
Hope you wanted this answer ^.^  

ANSWER FOR 15 POINTS!!

Which number(s) below belong to the solution set of the inequality? Check all that apply. (Meaning tell me all the ones that apply.)
x + 16 > 51
A. 16
B. 35
C. 80
D. 38
E. 55
F. 34

Answers

The answer is B,C,D and E.
solv

x+16>51
minus 16 both sides
x>35


so any number greater than 35 will work

A doesn't work
B doesn't work
C works
D works
E works
E works
F doesn't work


answers are C,D, E

A researcher is interested in estimating the average salary of police officers in a large city. She wants to be 99% confident that her estimate is correct. If the standard deviation is $1050, how large a sample is needed to get the desired information and to be accurate within $200?

Answers

Given:
σ = $1050, ppulatin standard deviation
99% confidence interval
Accuracy = +/- $200

The accuracy is given by
z*(σ/√n)
where
z* = 2.576 for 99% confidence level (from tables)
n = sample size

Therefore
2.576(1050/√n) = 200
√n = (2.576*1050)/200 = 13.524
n = 182.9

Answer: The sample size is 183

The price of an item has been reduced by 80%. The original price was $45. What is the price of the item now?

Answers

%change=100(final-initial)/initial, so we can say:

100(final-45)/45=-80  multiply both sides by 45

100(final-45)=-3600  divide both sides by 100

final-45=-36  add 45 to both sides

final=9

So the price of the item now is $9.

The Tunnel of Fear ride climbs straight up to its peak 50 meters above the ground. Then, it drops 65 meters into an underground tunnel. What is the elevation of the tunnel relative to the ground?

Answers

-15 meters is the elevation of the tunnel

Answer:

-15

Step-by-step explanation:

Which statement is true about the solutions for the equation 3y + 4 = −2?

It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.

Answers

I believe that the answer is B. If y=-2, 3(-2)+4=-2. 3(-2)=-6+4=-2

Answer:

B, One solution

Step-by-step explanation:

Plzzz help me with part A ,B and C

Answers

A) yes they are similar since  both use the same angle P, the angle of line PQ is the same as PA and they are both right triangles.

B) Line AB corresponds to QR - they are both the base of their triangles.

C) Angle A corresponds to angle Q. Q is the lower left angle in triangle PQR and angle A is the lower left angle in triangle PAB and are the same degree

Suppose $16,537.50 in interest was earned after $75,000 was invested at a simple interest rate of 3.15%. How long (in years) was the money invested?

Answers

The formula is
I=prt
I interest earned 16537.5
P principle 75000
R interest rate 0.0315
T time?
Solve the formula for t
T=I÷pr
T=16,537.5÷(75,000×0.0315)
T=7 years

Answer:

7 Years

Step-by-step explanation:

which expression is equivalent to 6a + 12

6(a+6)
3(3a+9)
6(a+9)
2(3a+6)

Answers

2(3a+6) because 2x3a=6a 2x6 is 12
6a + 12....factor out the 6
6(a + 2) ...not an answer choice
OR 
6a + 12....factor out 3
3(2a + 4) ...not an answer choice
OR
6a + 12....factor out 2
2(3a + 6) <==== this one

Chale bought some packages of pens. He bought one package containing 5 pens and *n* packages containing two pens each. Which of the following expressions could be used to find the total number of pens that Chale bought?

A)7n
B)10n
C)5n+2
D)2n+5

Answers

5*1 = 5     [He bought one package containing 5 pens]
n*2 = 2n   [and n packages containing two pens each]

So the total number of pens that he bought is  2n+5
d) 2n+5 
This is because you know how many packages of 5 pens he bought which is 1. So that stays the same. you are trying to figure out how many packages of 2 pens he bought so that is a variable. so to find the total number of pens it is 2n+5.

A person in the audience of a game show has a 12% chance of winning free movie tickets. What is the chance that a person in the audience does not win free movie tickets? 24% 38% 72% 88%

Answers

It is 88% because 100% - 12% = 88%
the chance of a person not winning a free movie ticket is 88%

Is 7/2 the same thing as 3.5

Answers

Yes because 7/2 is 3.5. So you are correct.
yes
3.5 as a fraction is 7/2 but in mixed numbers it's 3 1/2

Which list has the numbers in order from least to greatest

Answers

B is the correct answer.

ms campbell invested $7200 for 2 1/2 years. if she earned $756, at what rate did she invest her money. using I=PRT and the answer in percent form

Answers

 Given I=PRT

Rearrange the formula to find R


 I / PT= R

756 / (7200 * 2.5) = R
756 / 18000 = R 
0.042 = R 
so R = 4.2%

Which polynomial is a difference of two squares?
x2 − 16
x2 + 16
x2 − 8
x2 + 8

Answers

x2 - 16, is the answer. The first one.

x^2 - 16 = (x)^2 - 4^2, difference of two squares :)
The difference of two squares is of the form:

(a^2-b^2)

I believe that they might just want you to select

(x^2-16) which factors to (x-4)(x+4)

But there is nothing mathematically incorrect in doing the same for:

(x^2-8) which factors to (x-√8)(x+√8)

A wire that is 22 feet long connects the top of a pole to the ground. The wire is attached to the ground at a point that is 10 feet from the base of the pole.

What is the height of the pole? Round to the nearest hundredth.
12.00 feet
19.60 feet
24.17 feet
38.40 feet

Answers

Solution:

Length of wire = 22 feet =AB

Distance between the point where wire is attached to the ground from the point on the ground where pole is fixed= 10 feet=OB

In Right Δ O A B

By Using pythagoras theorem

O A²  + OB² = AB²

O A² +10²= 22²

O A²= 484 - 100

O A²= 384

O A= √384= 19.60 (Approximately)

So, the height of pole to nearest hundredth = 19.60 feet  


The height of the pole is 19.60 ft

The situation forms a right angle triangle.

Right angle triangle

Right angle triangle have one of its sides as 90 degree.

The length of the wire is the hypotenuse of the triangle formed.

The distance of the wire attached to the ground to the base of the pole is the adjacent side of the triangle.

The height of the pole can be found using Pythagoras theorem.

c² = a² + b²

22² - 10² = b²

b² = 484 - 100

b = √384

b = 19.5959179423

b = 19.60 ft

learn more on right triangle here: https://brainly.com/question/12553755

A juice company did a survey among 100 customers to find their juice preferences. The customers were asked about their preferences for apple or orange juices. Out of the total 35 people who liked apple juice, eight liked orange juice also. There were 20 people who liked orange juice. Part A: Summarize the data by writing the values that the alphabets A to I in the table below represent. (5 points) Like apple juice Do not like apple juice Total Like orange juice A B C Do not like orange juice D E F Total G H I Part B: What percentage of the total people did not like either apple or orange juice? (3 points) Part C: Do the people surveyed have more dislike for apple juice than orange juice? Justify your answer. (2 points)A juice company did a survey among 100 customers to find their juice preferences. The customers were asked about their preferences for apple or orange juices. Out of the total 35 people who liked apple juice, eight liked orange juice also. There were 20 people who liked orange juice. Part A: Summarize the data by writing the values that the alphabets A to I in the table below represent. (5 points) Like apple juice Do not like apple juice Total Like orange juice A B C Do not like orange juice D E F Total G H I Part B: What percentage of the total people did not like either apple or orange juice? (3 points) Part C: Do the people surveyed have more dislike for apple juice than orange juice? Justify your answer. (2 points)

Answers

Seeming how it's just text and I can't determine what part A is talking about I'll make a new table.

Part A:(This table is a three by three table, with the first top two sections being liked apple juice and didn't like apple juice, and the first left two sections being liked orange juice and didn't like orange juice. The end sections are totals.)


         AJ   No  TotalOJ    8     20   28
No    27   45   72
Total 35   55   100

Part B:
(What percentage of the total people did not like either apple or orange juice?)

25 people did not like either apple or orange juice so 25/100 is 25%.

Part C:(Do the people surveyed have more dislike for apple juice than orange juice? Justify your answer.)

There were a total of 28 people that liked orange juice against a total of 35 people that liked apple juice, so it is safe to say that out of the 100 surveyed there was more dislike for orange juice than apple juice.

Answer:

Part A: A = 8

B = 20

C = 28

D = 35  

E = 37

F = 72

G = 43

H = 57

I = 200

Part B: 18.5%

Part C:

D = People who do not like Orange Juice

B = People who do not like Apple Juice

I use the values of B and D because these are the values that represent dislike for that juice, and also because adding them together creates a value for not liking either juice.

D = 35

B = 20

So there is a greater dislike for Orange Juice.

Step-by-step explanation:

The lines y = 2x + 1 and y = -5x - 6 intersect at?

Answers

They will intersect at (-1, 1)
2x+1=-5x-6    x=-1   put x into equation  for example  y=2*(-1)   y=-2   
so intersect at (-1,-2)

a student scores 71 out of 100 on a test, if the maximum score on the tests is also 100, what score does the student need to maintain at least an average of 78?

Answers

(71+x)/2=78
71+x=156
x=85

Th student needs to score a min of 85

Find the slope and y-intercept of the line. y = 7/5x – 3

Answers

To find the slope of this equation, what you need to remember is that it would be very easy, as the linear equation is in the y = mx + b form where

m = slope
b = y intercept

m = 7/5
b = -3 or (0,-3).

Answer:

Slope is [tex]\frac{7}{5}[/tex]

y-intercept is -3

Step-by-step explanation:

Given equation of line,

[tex]y=\frac{7}{5}x-3[/tex]

Since, the slope intercept form of a line is y = mx + c

Where, m is the slope of the line,

By comparing,

[tex]m = \frac{7}{5}[/tex]

Hence, the slope of the given line is [tex]\frac{7}{5}[/tex]

Now, for y-intercept,

x = 0,

[tex]y=\frac{7}{5}(0) - 3 = -3[/tex]

Hence, the y-intercept of the line is -3.

is √2/3 a rational or irrational

Answers

sqrt(2/3) = 0.816496

since it is a decimal with no repeating numbers it would be irrational

Irrational because you would get a decimal

How many times does 6 go into 22

Answers

Your Answer Is...

3.

Why?

6 X 3 = 18.

Glad I Could Help, And Good Luck!

My Brainly Name: AnonymousGiantsFan
Hey!

We can use long division to solve this,
Let's write it.
[tex]6\overline{|\smallspace22}\space\space\space\space[/tex]
Then, divide [tex]22[/tex] by [tex]6[/tex] to get [tex]3[/tex].
[tex]\begin{matrix}\space\space\space\space\space\space\emptyspace3\space\space\space\space\space\space\space\space\space\space\space\space\\ 6\overline{|\smallspace22}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
Multiply the quotient by the divisor...
[tex]\begin{matrix}\space\space\space\space\space\space\emptyspace3\space\space\space\space\space\space\space\space\space\space\space\space\\ 6\overline{|\smallspace22}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace1\emptyspace8}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
Subtract [tex]18[/tex] from [tex]22[/tex].
[tex]\begin{matrix}\space\space\space\space\space\space\emptyspace3\space\space\space\space\space\space\space\space\space\space\space\space\\ 6\overline{|\smallspace22}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace1\emptyspace8}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\space\space\emptyspace4\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
As you can see, our answer using long division would be 3 with a remainder of 4. 

Thanks!
-TetraFish

What does interior angle A of the polygon in the figure equal? A. 110 B. 150 C. 230 D. 100

Answers

Sum of Interior Angles with n = 6
(n-2) × 180° = 4 x 180 = 720

A = 720 - (50+100-120-110 - 230)
A = 110

answer is A. 110

What is 2.33 written as a mixed number in simplest form?

Answers

2.33.......ok, 2 is ur whole number....33 is ur fraction...the last digit is in the hundredths place....so put it over 100

ur mixed number is 2 33/100...and this does not reduce
233/100..this is already is a simpler form

The number 6√3 is between what two integers and is closer to which integer on the number line.

Between 6 & 7 & is closer to 6
Between 10 & 11 & is closer to 10
Between 6 & 7 & is closer to 7
Between 63 & 64 & is closer to 63

Answers

Between 6&7 is closer to 10

Answer: integer on the number line. Between 6 & 7 & is closer to 6 Between 10 & 11 & is closer to 10 Between 6 & 7 & is closer to 7 Between 63 & 64 & is closer to 63.

Step-by-step explanation:

In three more years Miguel's grandfather will be six times as old as Miguel was last year. When Miguel's grandfather present age is added to his grandfathers age is added to his grandfathers present age the total is 68. How old is his grandfather now ?

Answers

"In three more years,Miguel's grandfather will be six times as old as Miguel was last year. When Miguel's present age is added to his grandfather's present age, the total is 68. How old is each one now?"

Miguel is 11 years old and his grandfather is 57 years old.
Last year Miguel was 10. In three more years his grandfather would be 60. 60/6=10. 11+57=68


what is the square root of 56x^7

Answers

the value of the square root is 8 because 7 times 8 equals 56
8 is the answer your welcome

classify the following triangle . check all that apply

Answers

One of the angles is more than 90 degrees  ⇒  Obtuse

Two equal sides  ⇒ Isosceles

Answer:

Option (a) and (d) is correct.

The given triangle is obtuse and isosceles.

Step-by-step explanation:

Given : A triangle with measure of one angle is 120° and two legs of the triangle are given equal in length.

We will have to choose the correct classification for the given triangle.

For a triangle if the measure of one the angles is

1) less than 90 then it is acute triangle ,

2) equal to 90 then right triangle

3) greater to 90 then obtuse triangle

Since the measure  of one angle of the triangle is 120° > 90° Thus, the given triangle is obtuse.

For a triangle if all the three sides are equal then it is equilateral triangle, if two sides are equal then it is isosceles and if no side is equal then it is scalene.

Since, for the given triangle, the two legs of the triangle are given equal in length so it is an isosceles triangle.

Thus, the given triangle is obtuse and isosceles.

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