Which number in the monomial 125x18y3z25 needs to be changed to make it a perfect cube? 3 18 25 125

Answers

Answer 1

Answer:  25

Reason:

The exponent 25 is not a multiple of 3. If it was something like 24, then we would have a perfect cube as shown below

[tex]w = 125x^{18}y^3z^{24}\\\\w = 5^{1*3}x^{6*3}y^{1*3}z^{8*3}\\\\w=(5^1x^6y^1z^8)^3\\\\w = (5x^{6}yz^{8})^3\\\\[/tex]

When going from step 2 to step 3, I used the rule that [tex](abcd)^e = a^eb^ec^ed^e[/tex]. Basically the exponent e gets applied to each factor inside.

Answer 2

Answer:

25

Step-by-step explanation:


Related Questions

which expression is equivalent to 3 x5y ?

Answers

Answer:

2nd answer is correct

Step-by-step explanation:

We know that,

[tex]\sqrt{x} =x^{\frac{1}{2} }[/tex]

[tex]\sqrt[3]{x}=x^{\frac{1}{3} }[/tex]

By following the above, we can solve the answer to the question.

Let us solve this now

⇒ [tex]\sqrt[3]{x^5y}[/tex]

⇒  [tex]x^\frac{1}{3}^*^5y^\frac{1}{3}[/tex]

⇒  [tex]x^\frac{1*5}{3}y^\frac{1}{3}[/tex]

⇒  [tex]x^\frac{5}{3}y^\frac{1}{3}[/tex]

If EFG QRS, which statement is not correct

Answers

Answer:

hello how are you nice to meet you

How many 4 digit numbers consisting of only the digits 2,4,6 and 8 are divisible by 4

Answers

Answer:

2

Step-by-step explanation:

4 and 8

Answer:

digits used once: 12repeated digits: 128

Step-by-step explanation:

In order for a number to be divisible by 4, its last two digits must be divisible by 4. This will be the case if either of these conditions holds:

the ones digit is an even multiple of 2, and the tens digit is eventhe ones digit is an odd multiple of 2, and the tens digit is odd.

We must count the ways these conditions can be met with the given digits.

__

Since we only have even numbers to work with, the ones digit must be an even multiple of 2: 4 or 8. (The tens digit cannot be odd.) The digits 4 and 8 comprise half of the available digits, so half of all possible numbers made from these digits will be divisible by 4.

digits used once

If the numbers must use each digit exactly once, there will be 4! = 24 of them. 24/2 = 12 of these 4-digit numbers will be divisible by 4.

repeated digits

Each of the four digits can have any of four values, so there will be 4^4 = 256 possible 4-digit numbers. Of these, 256/2 = 128 will be divisible by 4.

what's the square root of 2​

Answers

Answer:

The square root of 2 is 1.41421

Answer:

The square root of 2 is 1.414

find the equivalent expression of 2 to the power of 4

Answers

Answer:

16

Step-by-step explanation:

2^4=2*2*2*2=16

Answer:

16

Step-by-step explanation:

2^4=2*2*2*2=16

2 raise to the power of 4, which means 2*2*2*2

Which graph shows the line y-4 = 3(x + 1)?
-5
5
D
O A. Graph A
B. Graph B
O C. Graph C
D. Graph D
5
B/A//C

Answers

Answer:

The answer is graph D since y int = 3(1)+4 which is 7, that graph crosses y at 7

A TV costs R14 000 you made a 15% deposit and pay the remainder over a 3 year period at 10% interested p.a

Calculate the deposit amount? and Determine the remainder to be paid over the 3 years

Answers

Answer:

deposited rs. 2100 of a tv and rs. 3570 paid remainder after 3 years

Select the correct answer from each drop-down menu.

Consider the function f(x) = 3x4 − 5x2.
This function is
1. even
2. odd
3. neither even or odd
because
1. f(x)-f(x)
2. f(x)=f(x)
3. -f(x)=f(-x)

Answers

Using the classification for even and odd functions, it is found that the function is even, because f(-x) = f(x).

How we verify if the function is even, odd, or neither?

If for all values of x, f(x) = f(-x), the function is even.If for all values of x, f(-x) = -f(x), the function is odd.If neither of these statements are true, the function is neither even nor odd.

Graphing the function [tex]f(x) = 3x^4 - 5x^2[/tex], for every value of x, f(x) = -f(x), that is, the function is symmetric over the y-axis, hence it is even.

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3D TRIGONOMETRY PLS HELP ME HELP​

Answers

tan30= CF/50
CF= 28.8675…cm
CA^2= 50^2 +70^2
CA= 86.02325…cm
Angle CAF= tan-1(28.8675/86.02325)
= 18.6 (3 s.f.)

2. A used PlayStation 4 is on sale for 10% off the regular price of $160.00. If the sales tax rate is 9%, how much would I pay for the DVD player?​

Answers

Answer:

$156.96

Step-by-step explanation:

10% off of $160.00 would be $16.00 so minus that by $160.00. Which then equals $144.00. Sales tax should be reduced to the sale price. So that would make it 144 times 0.09 for the 9% which equals $12.96 then add the $144.00 which then makes it $156.96. Hope it helps and I'm not wrong about sales tax:)

David bought a computer that was 25% off the regular price of $1,080. If an8% sales tax was added to the Cost of the computer what was the total price David pay for

Answers

Answer:

$878.80

Step-by-step explanation

Multiply 1080 by 0.25 for the 25% which then should equal $810. 810 times 0.08 would equal 64.8. Add the 64.8 to the 810 and it should be $874.80. Hope it helps and is not wrong. :)

Given the two rectangles below. Find the area of the shaded region. 4 4 9 3​

Answers

Answer:

60

Step-by-step explanation:

The shaded region's area is the difference between the area of the outer rectangle and the white rectangle.

area = LW - lw

area = (4 + 4)(9 + 3) - (4)(9)

area = (8)(12) - 36

area = 96 - 36

area = 60

Which of the following expressions is equivalent to (x5 y3 z2) (x4 y3 z6) for all real values of x y, and z ?

a. x9y6z8
b. x9y9z8
c. x20y6z8
d. x20y9z12
e. x21y6z12

Answers

The product of the expressions (x⁵y³z²) and (x⁴y³z⁶) is equivalent to the expression x⁹y⁶z⁸. Then the correct option is A.

What is an equivalent expression?

The equivalent is the expressions that are in different forms but are equal to the same value.

The expression is given below.

(x⁵y³z²) and (x⁴y³z⁶)

Then the product of the expression will be

⇒ (x⁵y³z²) (x⁴y³z⁶)

⇒ x⁵x⁴y³y³z²z⁶

⇒ x⁵⁺⁴y³⁺³z²⁺⁶

⇒ x⁹y⁶z⁸

Then the correct option is A.

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identify the slope and y intercept of the function y = - 8x + 1

Answers

Answer:

Slope: -8

Y intercept: (0,1)

Step-by-step explanation:

^^^^

Answer:

[tex]\star\mathtt{Ans.\:\#1:\:Slope:-8}[/tex]

[tex]\star\mathtt{Ans.\:\#2:\:y\:intercept:\:1}[/tex]

Step-by-step explanation:

Hi student, let me help you out.

................................................................................................................

First note that the equation we are working with is in slope intercept form. Do you remember the slope intercept form equation? It's [tex]\mathtt{y=mx+b}[/tex].

In the slope intercept form equation, "m" denotes "slope" and "b" denotes "y intercept".

Looking back at our equation, let's work out the slope & y intercept.

Let's put these two equations together:

[tex]\mathtt{y=mx+b}[/tex]

[tex]\mathtt{y=-8x+1}[/tex]

See what I mean? The y intercept of this equation is 1 and the slope is -8.

Hope this helped you out! Ask in comments if any queries arise.

Best wishes from "reflect"!

[tex]\star\bigstar\underline{\overline{\overline{\underline{\textsf{Reach far. Aim high. Dream big.}}}}}\bigstar\star[/tex]

[tex]\underline{\rule{300}{6}}[/tex]

The mean number of stereos sold per day at a store for 6 days was 13. Which statement must be true about the stereo sales at the store?

O The store sold 19 stereos for the 6 days
O The store sold 78 stereos for the 6 days
O The store sold 13 stereos on at least half of the 6 days
O The store sold 13 stereos on at least two of the days

Answers

Answer:

well I don't know the options, but I do know that 105 would have been sold in a week.

Step-by-step explanation:

wyatt has a square garden. he adds 3 feet to one side and 1 foot to the other and now it is a rectangle with an area of 24 ft^2 what are the new dimensions of the garden

Answers

Answer:

6x4 feet

Step-by-step explanation:

6 x 4 = 24

6 - 3 = 3

4 - 1 = 3

Help my semester ends in 17 hours
i'm so confused this is all they put

Apply the Pythagorean Theorem to determine
unknown side lengths in right triangles in real
world and mathematical problems in two and
three dimensions

Answers

Find the lengths of the sides. Determine how long a right triangle side lengths are.

Enter the equation of the circle described below.
Center (-3,0), radius = sqrt5

Answers

Answer: [tex](x+3)^{2}+y^{2}=5[/tex]

X/6=9/20
What is the answer?

Answers

Step-by-step explanation:

[tex] \frac{x}{6} = \frac{9}{20} \\ [/tex]

[tex]x \times 20 = 9 \times 6[/tex]

[tex]20x = 54[/tex]

[tex]x = \frac{54}{20} \\ [/tex]

[tex]x = 2.7[/tex]

1. letica started an online store selling hand made blankets. she sold 92 in her first month. how did she make if each blanket cost $49

Answers

Leticia made 4,508 selling blankets at $49 dollors each

Answer:

92 x 49 = 4,508

Step-by-step explanation:

According to the texts, she sold 92 blankets in her first month, bringing her total sales to 92, and each blanket cost $49.

Given quadrilateral A(2,-1) B(1,3) C(6,5) D(7,1), you want to prove that it is a parallelogram by showing opposite sides are parallel. What formula would you use?

Answers

Answer: Slope formula

Step-by-step explanation:

You could show the slopes of the opposite sides are equal, and thus they are parallel.

Write in the form ( x + p ) ^2 + q x^ 2 − 10 x

Answers

Answer:

(x - 5)² - 25

Step-by-step explanation:

using the method of completing the square

x² - 10x

add/subtract ( half the coefficient of the x- term )² to x² - 10x

x² + 2(- 5)x + 25 - 25

= (x - 5)² - 25

Based on the diagram, which expresses all possible
lengths of segment AB?
OAB = 25
27 OAB = 85
OAB< 27 or AB > 81
MEDA

Answers

The expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81

Properties of a triangle

From the question, we are to determine the expression that expresses all possible lengths of segment AB

From one of the properties of a triangle,

The third side of any triangle is greater than the difference of the other two sides; and the third side of any triangle is lesser than the sum of the two other sides

Then, we can write that

AB < 27 + 54

and

AB > 54 - 27

Putting the two inequalities together, we get

54 - 27 < AB < 27 + 54

27 < AB < 81

Hence, the expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81

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The value of x is 50% more than the value of t.
the value of y is 10% less than the value of w.
x = y
work out t/w

Answers

Answer:

To hard sorry

Step-by-step explanation:

what is the name of the algebraic expression​

Answers

Answer:

There are 3 main types of algebraic expressions which include: Monomial Expression. Binomial Expression. Polynomial Expression.

Over What Interval is The Function In This Graph Increasing?

Answers

The correct answer is option D.which is -4 ≤ x ≤ 1.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

in the graph, we can see that the value of x is increasing from -4 coordinate of x to the 1 coordinate of x so the interval will be given as -4 ≤ x ≤ 1.

Therefore the correct answer is option D.which is -4 ≤ x ≤ 1.

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Part A: Solve for the "h." Show all work

Answers

Answer:

  2.7 m

Step-by-step explanation:

Corresponding sides of similar triangles are proportional. This figure shows similar triangles ∆ABC ~ ∆ADE.

__

The proportion that can be used to find h = DE is ...

  DE/BC = DA/BA

  h/(0.9 m) = (12 m+6 m)/(6 m) . . . . . filling in the values given

  h = (0.9 m)(18/6) . . . . . multiply by 0.9 m

  h = 2.7 m

The value of "h" is 2.7 m.

Which of these statements is true for f(x) = 2.3x?
A. The y-intercept is (0, 1).
OB. It is always decreasing.
OC. The domain is x > 0.
OD. The y-intercept is (0, 2).

Answers

Answer:D

Step-by-step explanation:when x is 0 we get y=2x3^0=2x1=2

The correct option is D.

What is a function?

A function is defined as a relation between a set of inputs having one output each. a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range.

Given is a function f(x) = 2·3ˣ, we need to select the correct options regarding the function,

The properties are =

y intercept: y = 2

domain: (-∞, ∞)

decreasing interval: no

Hence the correct option is D.

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Please Help if you know!

Answers

An equation that can be used to determine how much each cookie cost originally is ($13.32 + $7) / 16.

What is the equation that determines the cost of each cookie?

A coupon reduces the price of an item. Thus, the amount paid by Louis would be lower than the original price.

Original price = coupon + price paid

($13.32 + $7)

The cost per cookie, can be determined by dividing the original price by the total number of cookies bought.

($13.32 + $7) / 16

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Answer:

Step-by-step explanation:

Givens

Number of cookies = 16

Deduction =  7

Final Cost = 13.31

Equation

16c - 7 = 13.31

Solution

You are not asked for a solution but I'll put it here anyway.

16c - 7 = 13.32                      Add 7 to both sides

16c -7+7 = 13.32+ 7              Combine

16c = 20.32                          Divide by 16

16c/16 =  20.32/16                

c = 1.27

6. Suppose you decide to make and sell silk flower arrangements. You spend $220.00 on materials. You sell each flower arrangement for $10.50 each. How much profit would you make if you sold 23 silk flower arrangements?

Answers

The profit would you make if sold 23 silk flower arrangements be  $21.5.

What is Unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

spend on materials = 220

Price for each flower =10.50

If 23 flowers are sold price would be,

= 10.50*23

=241.5

Hence, the profit would be = 241.5-220

                                             = $21.5

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