Which expression is equivalent to (xy^-6)^2 for all values of x and y where the expression is defined?
A. xy^-36
B. xy^ 36
C. x^2y^ -12
D. x^2y^ 12

Which Expression Is Equivalent To (xy^-6)^2 For All Values Of X And Y Where The Expression Is Defined?A.

Answers

Answer 1

Answer:

C.

First, you square the x because it is inside the parentheses. Then, you multiply the -6 by 2, to get your exponent of -12 for the y.

Answer 2

Answer:

[tex] \huge \boxed{ \boxed{ \mathbb{C)} {x}^{2} {y}^{ - 12} }}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:law of exponentPEMDAStips and formulas:[tex] \sf( {x}^{m} {)}^{n} < = > {x}^{mn} [/tex][tex] \sf x < = > {x}^{1} [/tex]let's solve:

[tex] step - 1 : define[/tex]

[tex] {(xy}^{ - 6} ) ^{2} [/tex]

[tex] \sf \: use \: 1st \: and \: 2nd \: formula : \\ ( {x}^{1 \times 2} {y}^{ - 6 \times 2} )[/tex][tex] \sf simplify : \\ {x}^{2} {y}^{ - 12} [/tex]

Related Questions

6 less than the number y

Answers

Answer:

6 less a number y can be represented by the expression 6 - y

The ratio of plates to cups is 10:14. If
there are 7 cups, how many plates
are there?
(Help)

Answers

x PLATES ... 10

7 CUPS ... 14

Cross multiply and et' violá:

[tex]14x=70\implies x=70/14=5[/tex]

Which graph shows dilation?

Answers

Answer:

The First Image

Step-by-step explanation:

A dilation is a type of transformation that enlarges or reduces a figure, therefore in the first Image we see an increase in scale factor of 2.  

The first image because a dilation is either a re-education of enlargement of an image

8x6=(8x_)+(8x_)
Complete the question to fine 8x6

Answers

Answer:

8 multiply 6 =(8 multiply 3)+(8 multiply 3)=4

Please help me nowww
I need this right away!!

Answers

there is not enough information to complete the answer

Write the vertex form equation of a parabola that has been translated right of the origin by 5 units, translated down from the origin by 15 units, reflected over the x-axis, and stretched vertically by a factor of
6

Answers

Answer:

90x+8202727

Step-by-step explanation:

90x70+8090#* 77

The Coners family are going on a 250 mile road trip. The first day they drive 100 miles. Write an equation with a variable that can be used to find the number of miles remaining.​

Answers

Answer:

100+x=250 or 250-x=100

Step-by-step explanation:

pythagorean theorem converse please help i’ll mark brainlest

Answers

Answer:

thanks

Step-by-step explanation:

We can prove this by contradiction.

Let us assume that c2=a2+b2 in ΔABC and the triangle is not a right triangle.

Now consider another triangle ΔPQR. We construct ΔPQR so that PR=a, QR=b and ∠R is a right angle.

By the Pythagorean Theorem, (PQ)2=a2+b2.

But we know that a2+b2=c2 and a2+b2=c2 and c=AB.

So, (PQ)2=a2+b2=(AB)2.

That is, (PQ)2=(AB)2.

Since PQ and AB are lengths of sides, we can take positive square roots.

PQ=AB

That is, all the three sides of ΔPQR are congruent to the three sides of ΔABC. So, the two triangles are congruent by the Side-Side-Side Congruence Property.

Since ΔABC is congruent to ΔPQR and ΔPQR is a right triangle, ΔABC must also be a right triangle.

This is a contradiction. Therefore, our assumption must be wrong.

Step-by-step explanation:

We can prove this by contradiction.

Let us assume that c2=a2+b2 in ΔABC and the triangle is not a right triangle.

Now consider another triangle ΔPQR. We construct ΔPQR so that PR=a, QR=b and ∠R is a right angle.

By the Pythagorean Theorem, (PQ)2=a2+b2.

But we know that a2+b2=c2 and a2+b2=c2 and c=AB.

So, (PQ)2=a2+b2=(AB)2.

That is, (PQ)2=(AB)2.

Since PQ and AB are lengths of sides, we can take positive square roots.

PQ=AB

That is, all the three sides of ΔPQR are congruent to the three sides of ΔABC. So, the two triangles are congruent by the Side-Side-Side Congruence Property.

Since ΔABC is congruent to ΔPQR and ΔPQR is a right triangle, ΔABC must also be a right triangle.

This is a contradiction. Therefore, our assumption must be wrong

a taxi charges $2 per mile and $1 per person. If a ride for 2 people costs $12, how many miles was the ride?

Answers

Answer:

5 miles

Step-by-step explanation:

$12 = ($2 per mile) (2 people)

$12 = $2 + $2m (m = mile)

subtract 2 on both sides to eliminate

$12 - $2 = $2 - $2 + 2m

$10 = 2m

divide both sides by 2 to eleminate m

$10 / 2 = 2m / 2

m = 5

For the quadratic function shown below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
y=-3(x-3)^2+5

Answers

Answer:

honestly I don't know the answer

What is 56x1
Just a regular normal question from me
Your welcome in advance

Answers

Answer:

56

Step-by-step explanation:

hope this helps

plz give me brailiest

Answer:

Step-by-step explanation:

5+4=24

Which point below is not on the graph of px) = 36-X?
(-13, 7)
(-35, 1)
(11,5)
(27,3)​

Answers

Answer: B

The square root of 71 does not equal 1

helppppp ahhhh!!

At the library there is a four hour span of time to use a computer. The time slots are 1/3 hour long. How many time slots are there?

Answers

Answer:
12 slots
Step-by-step explanation:
1/3 of an hour = 20 minutes
4 hours * 60 =240mins/20mins=12

Step-by-step explanation:

[tex] \frac{4 \: hours}{computer} \times \frac{1 \: slot}{ \frac{1}{3} hour } = 12 \: \frac{slots}{computer} [/tex]

Kimberly has $120 to spend at the bookstore. Kimberly buys a hardcover book for $36, as well as some gift cards for her family and friends. Each gift card is $15. How many gift cards can Kimberly buy

Answers

Answer:

she can buy 5 more

Step-by-step explanation:

5.6 but she can’t buy half a gift card so 5 gift cards is your answer :)

You invested $7000 in two accounts paying 7% and 8% annual interest, respectively. If the total interest earned for the year was $536, how much was invested at each rate?

Answers

Answer: $4,600 was invested in the 8% account and $2,400 was invested in the 7% account.

Step-by-step explanation:

Let's break this down into simpler terms so you can understand.

You invested $7000 in a 7% and 8% account (always remember: the 'x' variable is always given to the biggest percentage)

Total of interest: 536 (this always goes at the end of the equation, after the equal sign)

Step 1: Let's set up the equation:

Here are how percents are written: (7% = 0.07, 8% = 0.08, other examples: 50% = 0.50)

0.08x + 0.07(7,000-x)=536

You're adding both because you want to see how much each account paid together.

Step 2: Distribute the 0.07 to everything in the parenthesis

0.08x + 0.07(7,000-x)=536

0.08x + 490 - 0.07x =536

Step 3: Combine like terms

0.08x + 490 - 0.07x =536

0.01x + 490 =536

Step 4: Continue combining like terms

0.01x + 490 =536

0.01x = 46

Step 5: Divide both sides by 0.01 to get the 'x' by itself

0.01x = 46

x = 4,600

This answer, x = 4,600, says to us that $4,600 was invested in the 8% account.

To find out how much was invested in the 7% account, just replace the x = 4,600 back into this part of the original equation: 7,000-x

7,000-x

7,000-4,600

2,400

So.. $4,600 was invested in the 8% account and $2,400 was invested in the 7% account.

3.3: Boiling Water


The function W gives the temperature, in degrees Fahrenheit, of a pot of water on a stove,


1 minutes after the stove is turned on.


1. Take turns with your partner to explain the meaning of each statement in this


situation. When it's your partner's turn, listen carefully to their interpretation. If you


disagree, discuss your thinking and work to reach an agreement.


a. W(0) = 72


b. W(5) > W(2)


dua 000


Sold


c. W(10) = 212wingsteam to bilo na


Darsning


d. W(12) = W(10)


e. W(15) > W(30)


f. W(0)

Answers

Answer:

Initial temperature, temperature at time 0

Step-by-step explanation:

The temperature of water in degree Fahrenheit 1 minute after stove is turned on ;

W(0) = 72 ; Initial temperature od water, that is temperature when time, t = 0

W(5) > W(2) ; This will be true, the tperature after 5 minutes should be greater Than the temperature after 2 minutes

W(10) = 212 ; The temperature of water is 212 degree Fahrenheit after 10 minutes

W(12) = W(10)

e. W(15) > W(30)

There are 5 pens in a container on your desk. Among them, 3 will write well but 2 have defective ink cartridges. You will select 2 pens (without replacement) to take to a business appointment. Select the most appropriate statement for each part (a-e) when considering calculating the probability that both pens are defective.
a. Let X: the number of defective pens selected. X is a random variable. [Select ]
b. For each pen chosen from the container, we can consider "Defective" as the success and "Working" as the failure since we are interested in both pens being defective. [ Select] -
c. X is well approximated by a Binomial Random Variable X-Bin(n=2. pi=2/5) True
d. If the first pen was replaced before the second pen was selected (sampling with replacement), then X would be very well approximated by a Binomial Random Variable X-Bin(n=2, pi=2/5) True
e. Had you been drawing 2 pens (without replacement) from a container of 25 pens, X would be better approximated by a Binomial Random Variable.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Total Number of pens = 5

Number of defective pens = 2

Number of non-defective pens = 3

A.) number of defective pens selected :

X : {0, 1, 2}

It is possible that no defective pen will be selected ; 1 defective will be chosen or both pens are defective.

2.)

Defective as Success (since selecting a defective pen is the point of interest.

3.)

Since selection is done without replacement

Probability of success per selection is different for each selection ;

Number of defective = 2

Number of observations = 5

P(success on first selection) = 2/5

P(success on second selection) = 1/4

Hence, X is not well approximated by a binomial random variable.

4.) if selection is done with replacement ; then then the probability of success per selection will be the Same for each selection made. Hence, X will be well approximated by a binomial Random variable.

5.) If sampling is done without replacement, then the the hypergeometric function will be a more effective approximation.

Three sets of data are given below. What is the
median of the ranges?
Data A: -3,2,-5,6,8
Data B: 4,9,6,2
Data C: 8,3,0,4
A) 2
B) 5
C) 7
D) 8

Answers

the answer is C. 7
1.) take 8-(-3)
2.) 9-2
3.) 8-0
Then list the number in order least to greatest
-13 7 8
Find the middle number
Get 7

Explain how to solve the problem y = (xz)/ x for y when x = 3 and z = 2.

Answers

Answer:

y=6

standard form

The ordered pairs show amounts y​ (in inches) of rainfall equivalent to x​ inches of snow.(16, 1.5), (12, 1.3), (18, 1.8), (15, 1.5), (20, 2.1),(23, 2.4)​ About how many inches of rainfall are equivalent to 6 inches of snow? Round your answer to the nearest hundredth, if necessary.

Answers

Answer:

0.57 inches of rainfall is equivalent to 6 inches of snow

Step-by-step explanation:

The given data are presented here as follows;

[tex]\begin{array}{cc}x&y\\16&1.5\\12&1.3\\18&1.8\\15&1.5\\20&2.1\\23&2.4\\\end{array}[/tex]

The data points are approximately linear

From the the trend line of the plotted points of the graph, created with Microsoft Excel, with Forecasting, when there is 6 inches of snow the rainfall is 0.575 inches

By linear regression, we have;

Y = a + b·X

Where;

[tex]b = \dfrac{n \cdot \sum XY - \left (\sum X \right ) \cdot \left (\sum Y \right )}{n \cdot \sum X^{2} - \left (\sum X \right )^{2}}[/tex]

[tex]a = \dfrac{\sum Y - b \cdot \sum X}{n}[/tex]

∑x = 104

∑y = 10.6

∑(x·y) = 191.7

(∑x)·(∑y) = 1102.4

(∑x)² = 10816

n = 6

SigX^2 = 1878

Plugging in the values, gives;

[tex]b = \dfrac{6 \times191.7 - 1102.4}{6 \times 1878 - 10816} \approx 0.10575[/tex]

[tex]a = \dfrac{10.6 - 0.10575 \times 104}{6} \approx -0.06637[/tex]

Therefore;

Y = 0.10575·x - 0.06637

When x = 6 inches, we have;

Y = 0.10575 × 6 - 0.06637 = 0.56813

Y = 0.56813 inches ≈ 0.57 inches of rainfall

Therefore;

0.57 inches of rainfall is equivalent to 6 inches of snow

What's 2/5 divided by 1/10?
Please help

Answers

Answer:

4

Step-by-step explanation:

That's the answer......

Answer:

2/5 ÷ 1/10 = 4

Hope this helped!

Find the solution to the system of equations.
You can use the interactive graph below to find the
solution.
–2x + 2y = -4
3x + 3y = -18

Answers

No solution it’s infinite

10 % of what number is 29?

Answers

Answer:

290

Step-by-step explanation:

To solve this problem you multiply 29 by 100 and then divide the total by 10 as follows:

(29 x 100) / 10

Therefore, you can derive that 10 percent of 290 equals 29.

Note that the answer provided is rounded to the nearest two decimals if necessary.

A. Find the product. Rewrite +
5.67 X 1.25

Answers

Answer:

Multiply

5.67 by 1.25.

7.0875

Enter the next 3 terms from the geometric sequence below.

2
,
1
,

1
2
,
.

Answers

Answer:

The next 3 terms from the geometric sequence below.

3

2

,

1

,

0

1

2

,

3

.

Step-by-step explanation:

The next 3 terms of the geometric sequence are [tex]\frac{1}{4} , -\frac{1}{8}, \frac{1}{16}[/tex].

What is a Geometric Sequence?

'A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.'

According to the given problem,

The terms are, -2 , 1 , - [tex]\frac{1}{2}[/tex] ....

Now, geometric sequence means that there is a common ratio between the numbers in the sequence.

Common ratio can also be denoted as r.

so, from -2, the next term is -2 × r and the one after this is -2 × r × r and so on.

If we compare, -2 × - [tex]\frac{1}{2}[/tex] = 1

                           1 × -[tex]\frac{1}{2}[/tex] = -[tex]\frac{1}{2}[/tex]

                           -[tex]\frac{1}{2}[/tex] × -[tex]\frac{1}{2}[/tex] = [tex]\frac{1}{4}[/tex]

                            [tex]\frac{1}{4}[/tex] × -[tex]\frac{1}{2}[/tex] = -[tex]\frac{1}{8}[/tex]

                           -[tex]\frac{1}{8}[/tex] × -[tex]\frac{1}{2}[/tex] = [tex]\frac{1}{16}[/tex]

Hence, we can conclude that the next three terms are, [tex]\frac{1}{4}[/tex] , -[tex]\frac{1}{8}[/tex] ,  [tex]\frac{1}{16}[/tex].

Learn more about geometric sequence here:

https://brainly.com/question/13008517

#SPJ2

HELPPPPPPPP!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

4

Step-by-step explanation:

- 14 + 30 / 4

16 / 4

16 ÷ 4

= 4

^-^

Answer:

4

Step-by-step explanation:

-2×7=-14

-2×15=-30

-14--30=16

16÷4=4

Does anyone know?? I'll give a brainliest For the correct answer.​

Answers

Answer:

its 14

Step-by-step explanation:

because you have 40 bucks then you minus 18 then you divide then u get 14.

Answer:

$14

Step-by-step explanation:

20*2=40

40-12=28

28/2=14

I need help fast i apericiate it my guy

Answers

Answer: 59

Step-by-step explanation:

Answer:

I think it's letter b.29

Rhombus
b= 14 in.
h=9 in.


Paralelogram
b= 12ft
h= 8.5ft


A rhombus has an area of 375 mm2 and a base of 25 mm. What is its height?

Answers

Answer:

Step-by-step explanation:

The solution is, The area of Rhombus B is 9 times bigger than the area of Rhombus A.  The reason is that 2 dimensions were tripled, so x3 x3 = 9 times bigger.

What is area ?

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

Rhombus A:

Area = 35 square inches

base = 7 inches

height = 5 inches

Rhombus B:

Area = 315 square inches

base = 21 inches (7 x 3)

height = 15 inches (5 x 3)

A = 21 x 15

so, we get,

The area of Rhombus B is 9 times bigger than the area of Rhombus A.  The reason is that 2 dimensions were tripled, so x3 x3 = 9 times bigger.

To learn more on Area click:

brainly.com/question/20693059

#SPJ2

complete question:

Rhombus A has base of 7 inches and an area of 35 square inches. Rhombus B has a Base and Height that are three times the base and height of Rhombus A. Find the area of Rhombus b and compare it to the area of rhombus A Explain

What is the expression that means the same as 7 less than the square of a number? A. 7-2x B. 7-2× C. 7-x2 D. x2-7 ​

Answers

answer d is correct!!!!!

Answer:

D

Step-by-step explanation:

7 less than the square of the number means a number squared subtracted by 7, which would be D.

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