Which expression is equivalent to (StartFraction a Superscript negative 8 Baseline b Over a Superscript negative 5 Baseline b cubed EndFraction) Superscript negative 3? Assume a not-equals 0, b not-equals 0.
a Superscript 9 Baseline b Superscript 6
a Superscript 9 Baseline b Superscript 12
StartFraction 1 Over a cubed b squared EndFraction
StartFraction a Superscript 29 Baseline b Superscript 6 Baseline EndFraction

Answers

Answer 1

Answer:

its A, a^9 b^6

Step-by-step explanation:

right on edge 2020

Answer 2

[tex]a^{9} b^{6}[/tex] expression is equivalent to [tex](\frac{a^{-8}b }{a^{-5} b^{3} } )^{-3}[/tex].

What is expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given expression

[tex](\frac{a^{-8}b }{a^{-5} b^{3} } )^{-3}[/tex]

= [tex]\frac{(a^{-8} )^{-3} b^{-3} }{(a^{-5})^{-3}(b^{3} )^{-3} }[/tex]

= [tex]\frac{a^{24}b^{-3} }{a^{15} b^{-9} }[/tex]

= [tex]a^{24} a^{-15} b^{-3} b^{9}[/tex]

= [tex]a^{9} b^{6}[/tex]

Option A is correct

[tex]a^{9} b^{6}[/tex] expression is equivalent to [tex](\frac{a^{-8}b }{a^{-5} b^{3} } )^{-3}[/tex].

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Related Questions

Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books and y represent the number of nonfiction books.

The system of equations models the total costs for each.

x + y = 26
x – y = 12

Answers

Answer:

19 fiction books

7 nonfiction books

Step-by-step explanation:

your welcome if it helped

Step-by-step explanation:

Predict the next number in the sequence: 1, 4, 16, 64…

512

244

384

256

Answers

Step-by-step explanation:

Notice that:

1 * 4 = 4,

4 * 4 = 16,

16 * 4 = 64.

Each term is 4 times of the previous term.

Hence the next term would be 64 * 4 = 256.

(4w^2 -m) - (-15w^2)

(i’ll give brainliest)

Answers

Answer:

19w^2-m

Step-by-step explanation:

4w^2-m+15w^2

19w^2-m

The second bracket becomes 15w^2 because it's a negative number multiplied by -1

(4w^2-m)+15w^2

19w^2-m

The angles below are supplementary, What is the value of x?

Answers

Answer:

x = 12

Step-by-step explanation:

Supplementary angles add up to 180 degrees therefore (6x + 48) and 60 should add up to 180. Like this:

6x + 48 + 60 = 180

Now solve:

6x + 48 + 60 = 180

6x + 108 = 180

6x = 72

x = 12

Therefore, the answer is x = 12.

I hope this helps!!

- Kay :)

Answer: x=12

Step-by-step explanation:

6x + 48 + 60 = 180

6x + 108 = 180

6x = 72

x=12

I will mark brainliest: ;​

Answers

I’m going to have to say true because it is appropriate that you can use the solutions from any equation by just graphing two of the sides that were used from the following problem.

Dan charges $15 per hour for walking dogs. How much will he earn for 5
hours? *
$70
$65
O $75

Answers

All you have to do is do 15 times 5 = 75

Answer:

I'm pretty sure its 75 cause 15 x 5 is 75

Step-by-step explanation:

2. Find the value of x.

Answers

Answer:

x = 3

Step-by-step explanation:

You can see that 5x - 7 and 2x + 2 are equal to each other due to the arrows pointing to both angles. Therefore allowing you to set up the following equation..

5x - 7 = 2x = 2

Therefore you can then simplify for the value x where you should get teh value 3.

i need help pleaseeeee!!!!

Answers

Answer:

280 mins

Step-by-step explanation:

6x + 3 > -33 on a number line

Answers

Answer:

Step-by-step explanation:

Find the range of the graphed function.


A. Y is all real numbers

B. Y>_0

C. 0<_y<_10

D. -9<_y<_5

Btw, <_ or >_ is the greater than or equal to or less than or equal to sign.

Answers

Answer:

The range of the function should be:

-9 ≤ y ≤ 5

Hence, option D is true.

Step-by-step explanation:

We know that the set of values of the dependent variable for which a function is defined.

From the given function, we can easily observe that the graph is kind of oscillating between the y-value y = 5 and y = -9.

i.e.

at y = 5, the graph gets its maximum value

at y = -9, the graph gets its minimum value

Thus, the range of the function should be:

-9 ≤ y ≤ 5

Hence, option D is true.

When converting a fraction to a decimal, the numerator is the

Answers

___________________________________________________________

Answer:

When converting a fraction to a decimal, the numerator is the dividend.

___________________________________________________________

1. This two-way table shows the results of asking students if they prefer to have gym class in the morning or the afternoon. morning afternoon total grade 6 15 8 23 grade 8 18 21 38 grade 10 12 26 38 total 45 55 100 a. How many students participated in the survey? b. How many students in grade 8 prefer to have gym in the morning? c. How many grade 10 students participated in the survey? d. How many students prefer to have gym in the afternoon? **When you give your answers, label them as a, b, c, and d.​

Answers

a)There are 200 students who attended the survey.

b)There are 18 students who prefer the gym in the morning.

c)There are 38 grade 10 students who participated in the survey.

d)There are 110 student students who prefer to have a gym in the afternoon.

What is a data table?

A data table is a piece of writing made up of rows, columns, and cells that each contain a particular value. They keep data that people can access later and update as required.

The given data is shown in table,

The data table's title, column headers, and row headers can all aid a user in better comprehending the data in the table. Data tables present information in a format resembling a grid with rows and columns.

To enable users to find patterns and draw conclusions from data, they arrange information in ways that are simple to scan.

Thus, there were 200 students who participated in the poll, 18 of whom preferred the gym in the morning, 38 grade 10 students, and 110 of them preferred to have a gym in the afternoon.

Learn more about the table here,

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I am in need of help

Answers

Answer:

q = 4.9

m∠R = 27.1°

m∠S = 136.9°

Step-by-step explanation:

To solve the triangle we will use the cosine rule and the sine rule

In the given triangle

∵ q is the opposite side of ∠Q

∵ s is the opposite side of ∠S

∵ r is the opposite side of ∠R

m∠Q = 16°

r = 8 and s = 12

→ By using the cosine rule to find q

q² = r² + s² - 2 r s cos∠Q

→ Substitute the values of r, s, and ∠Q in the rule above

∵ q² = (8)² + (12)² - 2(8)(12)cos(16°)

∴ q² = 23.43775438

→ Take √ for both sides

∴ q = 4.841255455

→ Round it to the nearest tenth

q = 4.9

→ To find angles R and S we will use the sine rule

∵ [tex]\frac{r}{sin(R)}[/tex] =[tex]\frac{q}{sin(Q)}[/tex] = [tex]\frac{s}{sin(S)}[/tex]

→ Use the first two ratios to find m∠R

∵ [tex]\frac{8}{sin(R)}[/tex] = [tex]\frac{4.841255455}{sin(16)}[/tex]

→ By using cross multiplication

∴ 4.841255455 × sin(R) = 8 × sin(16)

→ Divide both sides by 4.841255455

∴ sin(R) = 0.4554807874

→ Use [tex]sin^{-1}[/tex] to find m∠R

∵ m∠R =  [tex]sin^{-1}[/tex] (0.4554807874)

∴ m∠R = 27.0958732

→ Round it to the nearest tenth

m∠R = 27.1°

∵ The sum of the measures of the angle in a triangle is 180°

m∠S + m∠Q + m∠R = 180°

→ Substitute the values of m∠Q and m∠R

∵ m∠S + 16° + 27.1° = 180°

∴ m∠S + 43.1 = 180

→ Subtract 43.1 from both sides

m∠S = 136.9°

Helppppp it’s an emergency!!!!!

Answers

Answer:

Equation: [tex]2(x+8)+2(3x-5)+23 = 126[/tex]

[tex]x = 12.125[/tex]m

[tex]AB = 20.125[/tex]m

[tex]EF=31.375[/tex]m

Step-by-step explanation:

The equation of the perimeter of this shape can be written as:[tex]2(x+8)+2(3x-5)+23 = 126[/tex] (Sides with the same number of dashes are equal in length)

Which becomes:

[tex]2x+16+6x-10+23=126[/tex]

[tex]8x+29=126[/tex]

[tex]8x=97[/tex]

[tex]x= 12.125[/tex]

Since AB = [tex]x+8[/tex], we can substitute to get the length of AB:

[tex]x+8 = 12.125+8[/tex]

[tex]=20.125[/tex]

We can also use substitution to solve for the length of EF:

[tex]3x-5=3(12.125)-5[/tex]

[tex]=31.375[/tex]

Hope this helps :)

please graph the line y= -2/3x + 2

Answers

The slope is -2/3 and the y-intercept is 2. It should look something like this. Let me know if you need more of an explanation.

Eddie went to Luke Base Air Force Show and brought $55 with him to spend. If admission cost him $5 and sodas were $6.25 each, what is the GREATEST number of sodas, x, Eddie can buy? USE x AS VARIABLE; NO SPACES.

Answers

Answer:

8

Step-by-step explanation:

Given that:

Eddie has gone to Luke Base Air Force Show.

Total money available with Eddie = $55

Admission cost = $5

Cost of each soda = $6.25

To find:

The greatest number of sodas that can be bought by Eddie ?

Solution:

Let the greatest number of sodas that can be bought by Eddie = [tex]x[/tex]

Now, the total money spent by Eddie will be equal to the admission fee and the cost for buying the [tex]x[/tex] number of sodas.

Cost for [tex]x[/tex] number of sodas = Cost of one soda multiplied by [tex]x[/tex] = $6.25 [tex]\times x[/tex]

Writing equation as per given statement:

Total money = $55

[tex]55 = 5 +6.25x\\\Rightarrow 6.25x = 55-5\\\Rightarrow 6.25x = 50\\\Rightarrow x = \dfrac{50}{6.25}\\\Rightarrow \bold{x = 8}[/tex]

Therefore, a maximum of 8 number of sodas can be bought.

A square has an area of 49 yd squared. What is the length of each side?

Answers

Answer:

7

Step-by-step explanation:

the length of each side is 7 yards

Help it’s due soon!

Answers

Answer:

25%

Step-by-step explanation:

i would say c because it increased by 30%





amys mom.made.60 cookies her mom made her.brother Jeff has eaten 10 cookies what is the percentage of the cookies that are remaining?​

Answers

Answer:

the answer is c

Step-by-step explanation:

which relation is represented by mapping below​

Answers

Answer:

it is D

Step-by-step explanation:

write an equation in slope- intercept form (0,4) slope 5
I need help so pls

Answers

Answer:

5,4

Step-by-step explanation:

5,4


explanation; step by step

A bottle contains 3.78 liters of water. Without
calculating, determine whether there are
more or less than 3.78 deciliters of water in
the bottle. Explain your reasoning.

Answers

1 deciliter equals 0.1 liter. So If a bottle contains 3.78 liters of water that’s 37.8 deciliter so there is more than 3.78 deciliter in a bottle of water

What is an additional expression that has the value of -8?

Answers

Answer:

-12 + 4

Step-by-step explanation:

Find the measure of an angle that is complementary to
Options:
A. 5 degrees
B. 2 degrees
C. 8 degrees
D. 9 degrees

Answers

Answer:

9 degrees

Step-by-step explanation:

Select the correct answer. Based on the table, which city has the highest temperature in January? City January Temperature (°C) New Orleans 7 Philadelphia -4 Phoenix co Rochester -8 San Antonio 5 OA New Orleans B. Philadelphia O C. Phoenix D. Rochester O E. San Antonio​

Answers

Answer:

knew Orleans

Step-by-step explanation: i think i'm not really sure

Based on the table, Phoenix has the highest temperature in January. Therefore, the correct option is option C among all the given options.

What is temperature?

The physical concept of temperature indicates in numerical form how hot or cold something is. A thermometer is used to determine temperature. Thermometers are calibrated using a variety of temperature scales, which historically defined distinct reference points including thermometric substances.

The most popular scales are the Kelvin scale (K), which is mostly used for scientific purposes, the Celsius scale (°F), as well as the Celsius scale, which has the unit symbol °C. Based on the table, Phoenix has the highest temperature in January.

Therefore, the correct option is option C.

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Write an equation in slope-intercept form of the line shown.
(2,-1) (4,-4)

Answers

Answer:

add 44 and 21 and you will get the answer

Answer:

y = -3/2x+2

Step-by-step explanation:

The slope for a slope equation is y = mx+b

Since it's decreasing from left to right the first part of the equation (mx) is -#x. The second part of the equation (+b) will be +2 because the y-intercept is (0,2). If it were a negative # then it would be -7, or -4, or - whatever.

Now you have to find the slope. To find the slope simply do y1-y2/x1-x2 or y2-y1/x2-x1. Let's follow this equation. say that (2,-1) is 1 and (4,-4) is 2.

-1+4/2-4 = 3/-2 = -3/2. The equation would be y = -3/2x +2. Let's check our work by substituting  our variables with numbers using the set (2,-1). Pleases tell me if I'm wrong or if this is confusing.

help please i need to get this done​

Answers

ANSWER X=4. You basically plug what y equals to into the second equation the solve for x.

Answer:

x = 4

y = -7 or (-7, 4)

Step-by-step explanation:

y = -2x + 1

4x + y = 9 replace y in the second equation with (-2x + 1) since y is equal to it

4x + (-2x + 1) = 9 add like terms

2x + 1 = 9 subtract 1 from both sides

2x = 8 divide both sides by 2

x = 4 since y = -2x + 1 replace x with the value we found

y = (-2) × 4 + 1 = -7

Yessir another one for the bois

Answers

Answer:

I forgot what complementary means but it's either 3 or 5, probably 3

Step-by-step explanation:

a council reviews the amount of bedrooms in 40 houses located in the same area. this table shows the information gathered


a) find the modal average of bedrooms

b) work out the mean average of bedrooms


number of bedrooms: frequency:

1 ---------------------------------5

2------------------------------- 10

3 -------------------------------15

4 --------------------------------7

5 --------------------------------3

Answers

Answer:

A. 3

B. 2.825

Step-by-step explanation:

Data obtained from the question include:

Number of bedrooms (x) > Frequency(f)

1 >>>>>>>>>>>>>>>>>>>>> 5

2 >>>>>>>>>>>>>>>>>>>> 10

3 >>>>>>>>>>>>>>>>>>>> 15

4 >>>>>>>>>>>>>>>>>>>> 7

5 >>>>>>>>>>>>>>>>>>>> 3

Mode =?

Mean average of bedrooms =.?

A. Determination of the modal average of bedroom.

The mode of a given set of data is the the value with the highest frequency.

Considering the table given in the question above, we can see clearly that 3 has the highest frequency. Hence 3 is the modal average of the bedroom is 3

B. Determination of the mean average of bedroom.

Mean = Σfx / Σf

Σfx = (1×5) + (2×10) + (3×15) + (4×7) + (5×3)

Σfx = 5 + 20 + 45 + 28 + 15

Σfx = 113

Σf = 5 + 10 + 15 + 7 + 3

Σf = 40

Mean = Σfx / Σf

Mean = 113 / 40

Mean = 2.825

Therefore, the mean average of bedroom is 2.825

Solve for c:

3-(2c-8)=7

Please include a step-by-step so I know how you did it

Answers

Answer:

c = 2

Step-by-step explanation:

3 - (2c - 8) = 7

3 - 2c + 8 = 7

-2c + 11 = 7

-2c = -4

c = 2

hope this helps, pls mark brainliest :D

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