(_2/3)(Raised to power 3) multiplied by (_3/2)(raised to power 2)

Answers

Answer 1

Answer:

[tex]\frac{-2}{3}[/tex]

Step-by-step explanation:

From the given question,

[tex](\frac{-2}{3} )^{3}[/tex] x [tex](\frac{-3}{2} )^{2}[/tex]

Applying the required principle of indices to solve the question, we have;

[tex](\frac{-2}{3} )^{3}[/tex] x [tex](\frac{-3}{2} )^{2}[/tex] = [tex]\frac{(-2)^{3} }{3^{3} }[/tex] x [tex]\frac{(-3)^{2} }{2^{2} }[/tex]

= [tex]\frac{-8}{27}[/tex] x [tex]\frac{9}{4}[/tex]

= [tex]\frac{-72}{108}[/tex]

= [tex]\frac{-2}{3}[/tex]

Thus, the final answer is [tex]\frac{-2}{3}[/tex].


Related Questions

3 1/3 divided by 1 1/4 =
ANSWER ASAPPPPPP. BE RIGHT AND EXPLAIN

Answers

Answer:

2 17/20

Step-by-step explanation:

make 3 1/3 an improper fraction = 9/3

make 1 1/4 an improper fraction = 5/4

flip the second fraction = 4/5

cross multiply

4 x 3 = 12

9 x 5 = 45

add

45 + 12 = 57 (our numerator)

5 x 4 = 20 (our least common denominator)

simplify

2 17/20

hope this helps <3

The CORRECT answer is 8/3 You have to reduce the expression by canceling the common factors.

Plz mark as brainliest.

Elena babysits her neighbors children. her earnings are given by the equation y=8.40x, where x represents the number of hours she worked and y represents the amount of money she earned. Jada earns 7$ per hour mowing her neighbors lawn.
question: How much money does Jada make after working 5 hours?
ANSWER FAST PLEASEE.

Answers

Answer:

she makes 10$ an hour

Step-by-step explanation:

Jada makes 35$ after working for 5 hours.

What is the ratio?

We may determine how much of one quantity is in the other by comparing two amounts of the same units and finding the ratio.

Given, Jada earns 7$ per hour mowing her neighbor's lawn. remaining data is unnecessary for the given problem.

working 1 hour Jada makes = 7

working 5 hours Jada makes = 7* 5 = 35

Therefore, $35 is money Jada makes after mowing her neighbor's lawn.

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What are the like terms in the expression?

4 m minus 9 + 3 n + 2

(Answers are:)

–9 and 2
–9 and 3n
4m and 3n
4m and –9

Answers

like terms are -9 and 2

Farhan cycles the first part of a 150-km journey at an average speed of 35km/h and walks the
remaining distance at an average speed of 5 km/h. if he takes 4.5 hours for his entire journey, find the
distance by he cycles.

Answers

Answer:

PLEASE MARK AS BRAINLIEST

Step-by-step explanation:

5 x 4.5 = 22.5 (km)

150 – 22.5 = 127.5 (km)

35 – 5 = 30 (km/h)

127.5/30 = 4.25 (h)

4.25 x 35 = 148.75 (km)

Alternatively,

Let x be the distance that he cycles.

x/35 + (150 – x)/5 = 4.5

x + 1050 – 7x = 157.5

6x = 892.5

x = 148.75

Ans : 148.75km.

Please help me! One question! It’s late so please help ASAP!

Answers

Step-by-step explanation:

The answer here is option C.

Answer: Choice C

===========================================

Explanation:

Point P is the center of dilation. So it does not move for any dilation applied as long as its stays as the center of course.

The scale factor 4/3 = 1.33 approx means that point A's distance from P will be scaled 1.33 times larger. In other words

(A'P)/(AP) = 4/3 = 1.33

Points B' and C' are also further away than their counterparts, with relation to the center point P.

All of this means the image triangle A'B'C' is larger compared to its preimage triangle ABC.

What results is what you see in diagram C

-------------------

Side notes:

Diagram A is not correct because point B hasn't moved when it should have.Diagram B is not correct because the image triangle is smaller when it should be larger compared to its preimageDiagram D is not correct because B hasn't moved

The equation modeling the population growth of a small town is P(t)=30000(1.02)^t, where P represents the population, and t represents the years from now. What is the approximate population change that occurs between 2 years from now and 10 years from now.
a.5,358
b.6,570
c.31,212
d.35,150
e.36,570

Answers

Answer: I’m not for sure but I got 31,212

Step-by-step explanation: You multiply 30000 to 1.02 and then with the 2 and the 10 you divided and get 31,212

The population change between these years is (a) 5358

The population model is given as:

[tex]\mathbf{P(t) = 30000(1.02)^t}[/tex]

When t = 2, we have:

[tex]\mathbf{P(2) = 30000(1.02)^2}[/tex]

[tex]\mathbf{P(2) = 31212}[/tex]

When t = 10, we have:

[tex]\mathbf{P(10) = 30000(1.02)^{10}}[/tex]

[tex]\mathbf{P(10) = 36570}[/tex]

The population change is then calculated as:

[tex]\mathbf{\Delta P = P(10) - P(2)}[/tex]

So, we have:

[tex]\mathbf{\Delta P = 36570 - 31212}[/tex]

[tex]\mathbf{\Delta P = 5358}[/tex]

Hence, the population change between these years is (a) 5358

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Shawn would like to know the average height of the trees in the back field at school. She measures the heights of each tree in a random sample of 20 trees. The mean height of Shawn's sample is 61 inches, and the MAD (mean absolute deviation) is 2 inches.

Answers

Select all that apply

Question options :

The median height of the sample must be between 59 and 63 inches.

Another random sample of 20 trees is likely to have a mean between 57 and 65 inches.

The mean height of these 20 trees is likely to be the same as the mean height of all trees in the back field .

The mean height of these 20 trees is likely to be the same as the mean height of a second random sample of 20 trees.

Shawn would be more likely to get an accurate estimate of the mean height of the population by sampling 40 trees instead of sampling 20 trees.

Answer:

The median height of the sample must be between 59 and 63 inches.

The mean height of these 20 trees is likely to be the same as the mean height of all trees in the back field .

The mean height of these 20 trees is likely to be the same as the mean height of a second random sample of 20 trees.

Shawn would be more likely to get an accurate estimate of the mean height of the population by sampling 40 trees instead of sampling 20 trees

Explanation:

The mean absolute deviation is the summary of absolute deviations from the central point or average of a data set. The central point measurement can be the mean, median or mode of the data set. An average absolute deviation can be used instead of a standard deviation to measure dispersion from central point.

In the above case, a sample is taken of 20 trees and there is a mean absolute deviation of 2, hence, median can be between 59 and 63. Also sample represents population, therefore mean of another sample taken is likely to be same as the previous one taken. Mean invariably gets more accurate as sample size increases too.

What angles are vertical? Will mark brainliest

Answers

Answer:

7&6 and 8&5 I believe their on the opposite sides

What are the slopes

Answers

Answer: whoa

Step-by-step explanation:

Just need points

Prove that sin²a + cos²a = 1 and = [tex]\frac{1}{cos^{2}a }[/tex] + tan²a (a not alpha)

Answers

Answer:

[tex]\frac{1}{cos^2a }= tan^2 a[/tex]

Step-by-step explanation:

Explanation:-

Given   sin²a + cos²a = 1  

and

              [tex]\frac{1}{cos^{2} a} \\= \frac{sin^2a+cos^2a}{cos^2a} \\ \\\\ = \frac{sin^2a}{cos^2a} +\frac{cos^2a}{cos^2a}[/tex]

= tan²a + 1



a box contains different colored marbles if p(blue) = 1/4 p(green)= 1/4 and blue and green =1/12

Answers

Answer:

The events are independent because P(blue) P(green) P(blue and green).

D

Step-by-step explanation:

Matt has 4 deciliters of milk . Will the milk fill a 1-litre bottle

Answers

Answer:

no

Step-by-step explanation:

because 1 deciliters is 0.1 liters

The 4 deciliter milk will not fill a 1 litre bottle

How to determine the milk quantity?

From the question, the amount of milk is:

Amount = 4 deciliters

As a general rule;

1 deciliter = 0.1 liters

So, we have:

Amount = 4 * 0.1 liters

Evaluate the product

Amount = 0.4 liters

0.4 is less than 1

Hence, the milk will not fill a 1 litre bottle

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The visitors at a carnival can play two different games for a chance to win tickets to put towards a prize. Game A costs two tokens to play and the probability of winning a ticket isGame B costs three 1/3 tokens to play and the probability of winning a ticket is Which of the following strategies is most 1/2 likely to result in a person getting the most tickets?

Answers

Answer:

B

Step-by-step explanation:

Both games have the same probability so it does not matter which one you choose. Game A gives a ticket 1/3 of the time and costs two tokens to play so you need 6 tokens to win a ticket. Game B gives a ticket 1/2 and costs three tickets to play so you also need 6 tokens to win a ticket.

determine the value of x , (5)(x)=0

Answers

Answer:

x=0

Step-by-step explanation:

The parenthesis mean that it's multiplication, so it might be easier to convert that to: 5 · x = 0. We then know that anything times zero equals zero, so 5 · 0 = 0! I hope this helps! :)

2(4x-11)+=19 explain how to do this equaition

Answers

Answer:

You'd distribute the 2 to everything in the parenthesis. So, you'd do 2(4x) - 2(-11), which would then be 8x - (-22) = 19. You'd then add 22 to 19 to get 41. The only thing you can do from here is divide 8x by 41 to get 41/8 = x

Step-by-step explanation:

Marry went to kohl’s and brought shoes for 32.99 what was her total cost if tax was 6.5 percent

Answers

Answer:

5.08

Step-by-step explanation:

Please help grades are due tmr

Answers

The slope of every horizontal line is 0 because that is based on the formula. If it's horizontal on the x axis for example, the point slope will be 0,0, also the horizontal line is the numerator, i think. And the undefined slope is vertical because it's the denominator.

11. The price of a new
pair of True Religion
jeans is marked down
from $159.99 to $39.99.
What percentage was
taken off?

Answers

Answer:

The percentage which was taken off = 75%    

Step-by-step explanation:

Initial value = $159.99Final value = $39.99

Using the formula

Percentage Decrease = [ (Initial Value - Final Value) / |Initial Value| ] × 100

                                     = [(159.99 - 39.99) / (159.99)] × 100

                                     = [120 / 159.99] × 100

                                     = 0.75 × 100

                                     = 75%

Therefore, the percentage which was taken off = 75%                                

(-6+51)+(2-5i)-(1+61)

Answers

Answer:

-15 - 5 i

Step-by-step explanation:

Answer:

−15 − 5i

Step-by-step explanation:

The image below shows step-by-step on how to solve it.

Hope this helps! :)

6 + 18r = 20r - 18 - 4r

Answers

Answer:

r = -12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

6 + 18r = 20r - 18 - 4r

Step 2: Solve for r

Combine like terms:                    18r + 6 = 16r - 18Subtract 16r on both sides:         2r + 6 = -18Isolate r term:                               2r = -24Isolate r:                                        r = -12
6+18r=20r-18-4r
6+18r=18r-18
-6. -6
18r=18r-24
-18r. -18r
R=-24

PLEASE HELP ASAPPP!!!
What is the slope of the line?

Answers

The slope is 5 and the senator has the right now and the right amount to be the same way to make the president in the

What question can you never answer yes to? I will give brainliest I also have other riddles that havent been answered yet.

Answers

Answer:

Are you sleeping?

Dan is completing a 60-kilometer run. The diagram below shows what percent he has run so far.
60 % from 60 km


How many kilometers has he run so far?

Answers

Answer:20

Step-by-step explanation:

i got it right in my dca

19.6 x 24 please i need help

Answers

Answer:

19.6x24=470.4

Step-by-step explanation:

answer: 19.6 x 24= 470.40

Which one is correct?

Answers

Answer:

3

Step-by-step explanation:

3...................

Justify whether matrix a is invertible.

Answers

Answer: C. No, because its determinant is zero.

Step-by-step explanation: I got this right on Edmentum.

No, because its determinant is zero. The correct option is C.

What is a matrix?

A matrix, which is used to represent a mathematical object or an attribute of one, is a rectangular array or table containing numbers, symbols, or expressions that are organized in rows and columns.

The given matrix is,

[tex]\left[\begin{array}{cc}6&-4\\-9&6\\\end{array}\right][/tex]

The determinant of the matrix will be calculated as below:-

D = ( 6 x 6 ) - ( -9 x -4 )

D = ( 36 - 36 )

D = 0

Here the determinant of the matrix is zero. Therefore, the matrix is not invertible.

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An online shopping club has 14,000 members when it charges ​$9 per month for membership. For each ​$1 monthly increase in the membership​ fee, the club loses approximately 500 of its existing members. Write and simplify a function R to represent the monthly revenue received by the club when x represents the price increase.
​Hint: Monthly revenue​ = # membersmonthly fee.
PLEASE HELP

Answers

Answer:

The max revenue is acheived with 7  increases

Step-by-step explanation:

Revenue  =  Members  *  (Cost Per Member)

 

R  = (4600 - 200x) ( 9 + 1x)

 

Where x represents the number of $1  increases

HURRY ILL MARK BRAINLIEST

Answers

x=1 (question 9)

x=0(question 10)

x=0(question 11)

x=3.33(question 12)

HELP PLZ ASAP T^T

1. 90% of 250 is
2. 65% of 400 is
3. 85% of 800 is

Answers

Answer

1= 225

2= 260

3= 704

what is the slope for the graph in the question?

1/3

3

2

1/2

Answers

the slope is 3/1, so it simplifies to 3

Answer:

3

Step-by-step explanation:

its the answer becuase thats what the answer is

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