Simplify the following expression (a³b)⁴

Answers

Answer 1

Answer:

a¹²b⁴

Step-by-step explanation:

When terms with exponents are multiplied, the exponents multiply.

(a³b)⁴ = a¹²b⁴

Answer 2

Answer: a^12b^4

Step-by-step explanation:

(a^3b)^4 = (a^3b) x (a^3b) x (a^3b) x (a^3b) = a^12b^4


Related Questions

Kevin's class just held a class election. 75% of the 28 students in the class voted. How many students voted?
THANKS, IM DESPERATE

Answers

Answer:

21

Step-by-step explanation:

75÷100×28=21

if its correct please mark as brainliest answer

What should be the first step in adding these equations to eliminate y?

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Since you want to eliminate y, the y value on the bottom equation has the be the opposite of the y value on the top one. So it's 4y on the top one, so the bottom one has to be -4y to eliminate y. The bottom one is -2y, so -2 times 2 =-4, so multiply the bottom one by 2 omg i miss linear combination

Question 6
1 pts
If there are initially 12,000 bacteria in a culture, and the number of bacteria double
each hour, the number of bacteria after t hours can be found using the formula
N = 12,000 (24). How many bacteria will be present after 7 hours?
O 1,536.000
O 768,000
168,000
384.000
Previous
Next >

Answers

Answer:

The input for the method is a continuous function f, an interval [a, b], and the function values f(a) and f(b). The function values are of opposite sign (there is at least one zero crossing within the interval). Each iteration performs these steps: Calculate c, the midpoint of the interval, c = a + b2.

Step-by-step explanation:

trust

You earn $30 for washing 5 cars. How much do you earn
per car?

Answers

Answer:

You get 6 dollars per car

Step-by-step explanation:

I divided 30 by 5

Answer: $6 per car

Step-by-step explanation:

If it's 30 dollars for 5 cars and we want to know how much it is for 1 car we need to divide both by 5

[tex]\frac{30}{5} =6\\\frac{5}{5} =1[/tex]

$6 per one car

b One of these numbers is the area of the outside curved surface of the cylinder, in cm', using
= 3. Which one?
A 15 B 30 C 1000 D 1500 E 3000

Answers

Answer:

B

[tex]area = 2\pi \: rh \\ = 2 \times 3 \times 5 \times 1 \\ = 30 \: {cm}^{2} [/tex]

Q= 4+0.8p what value of p would make the equation true if q was 70

Answers

Answer:

82.5 = p

Step-by-step explanation:

Q= 4+0.8p

Let q = 70

70= 4+0.8p

Subtract 4 from each side

70-4= 4-4+0.8p

66 = .8p

Divide each side by .8

66/.8 = .8p/.8

82.5 = p

PLEASE HELP ME!!! I NEED THIS TO BE CORRECT THANK YOU

EXPLAIN UR ANSWER = BRAINLIEST


A trapezoid with an area of 54 cm² is dilated by a factor of 2/3.

The area of the dilated trapezoid is ___ square centimeters.

(this is just a word question!)

Answers

Answer:

The area of the image is equal to the area of the pre-image multiplied by the scale factor.

The area of the dilated trapezoid is __54*2/3=36_ square centimeters.

THERE ARE 18 RED CRAYONS
AND 24 GREEN CRAYONS IN A
BASKET. WHAT IS THE RATIO OF
RED TO GREEN CRAYONS

Answers

Answer:

4 : 3

Step-by-step explanation:

So to answer this, we must find the greatest common factor(GCF) of 18 adn 24 , then divide by that to get the ratio.

So, what are the factors of 18?

2369118

Now what are the factors of 24?

2368124

All of these work, but we need to GCF, which is the largest factor that goes into both numbers.

Looking at them, it would be 6.

So lets divide both numbers by 6 and see what we get:

18/6

=

3

24/6

=

4

So now there are 3 red crayons and 4 green crayons.

OR

For every 3 red crayons there are 4 green crayons.

This makes the ratio:

3 : 4

Hope this helps!

Ration of red to green crayons is 3:4

Given that;

Number of red crayons = 18

Number of green crayons = 24

Find:

Ration of red to green crayons

Computation:

Ration of red to green crayons = Number of red crayons / Number of green crayons

Ration of red to green crayons = 18 / 24

Ration of red to green crayons = 3/4

Ration of red to green crayons = 3:4

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How many solutions does the system have?
-87 + 2y = 8
- 40 +y=4

Answers

Please mark brainliest!

Answer is : No solution

A system of two equations can be classified as follows:

If the slopes are the same but the y-intercepts are different, the system has no solution.

If the slopes are different, the system has one solution.

If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.

Definition Linear Equation in One Variable
A linear equation in one variable is an equation that can be written in the form ax+b=c, where a, b, and c are real numbers and .
Linear equations are also first-degree equations because the exponent on the variable is understood to be 1.
Objective 3: Identify Equations That Are Contradictions and Those That Are Identities
A conditional equation is an equation that is true for some values of the variable but not for others. Every linear equation that is a conditional equation has one solution. However, not every linear equation in one variable has a single solution. There are two other cases: no solution and the solution set of all real numbers.
Consider the equation x  x 1. No matter what value is substituted for x, the resulting value on the right side will always be one greater than the value on the left side. Therefore, the equation can never be true. We call such an equation a contradiction. It has no solution. Its solution set is the empty or null set, denoted by { }
or , respectively.
Now consider the equation xx2x. The expression on the left side of the equation simplifies to the expression on the right side. No matter what value we substitute for x, the resulting values on both the left and right sides will always be the same. Therefore, the equation is always true. We call such an equation an identity. It

Pleaseee help ASAP !!!!!!!!!!!

Answers

Given:

The dimensions of base are 5 cm and 5cm.

The height of the pyramid is 3 cm.

To find:

The volume of the pyramid.

Solution:

The volume of a pyramid is:

[tex]V=\dfrac{1}{3}Bh[/tex]                ...(i)

Where, B is the base area and h is the height of the pyramid.

The base area of the given pyramid is:

[tex]B=length \times width[/tex]

[tex]B=5 \times 5[/tex]

[tex]B=25[/tex]

Substituting [tex]B=25[/tex] and [tex]h=3[/tex] in (i), we get

[tex]V=\dfrac{1}{3}(25)(3)[/tex]

[tex]V=25[/tex]

Therefore, the volume of the given pyramid is 25 cm³. Hence, the correct option is A.

Select the FOUR equations that are equivalent to 2(x+3)−2=16.

A (x+3)−1=8open paren x plus 3 close paren minus 1 is equal to 8

B (x+3)−2=8open paren x plus 3 close paren minus 2 is equal to 8

C 2(x+3)=182 times open paren x plus 3 close paren is equal to 18

D x+3=9x plus 3 is equal to 9

E 2x=122 x is equal to 12

F 2x=15

Answers

Answer:

A (x+3)−1=8open paren x plus 3 close paren minus 1 is equal to 8

C 2(x+3)=182 times open paren x plus 3 close paren is equal to 18

E 2x=122 x is equal to 12

Step-by-step explanation:

Given:

2(x+3) − 2 = 16

2x + 6 - 2 = 16

2x = 16 - 6 + 2

2x = 12

x = 12/2

x = 6

A. (x+3)−1=8

x + 3 - 1 = 8

x = 8 - 3 + 1

x = 6

B (x+3)−2=8

x + 3 - 2 = 8

x = 8 - 3 + 2

x = 7

C 2(x+3)=18

2x + 6 = 18

2x = 18 - 6

2x = 12

x = 12/2

x = 6

D x+3=9x

3 = 9x - x

3 = 8x

x = 3/8

E 2x=12

x = 12/2

x = 6

F 2x=15

x = 15/2

x = 7 1/2

6 of 10
?
What fraction of an hour is 51 minutes?
Give your answer in its simplest form.

Answers

51/60
We need to make sure that the United sets the same so there are 60min in one hour and the fraction of time that is In an hour in 51 so
51/60
51 is prime so it’s can’t be simplifyied

what is the simplified form of the following expression?
[tex]7( \sqrt[3]{2x} ) - 3( \sqrt[3]{16x}) - 3( \sqrt[3]{8x} ) [/tex]

Answers

Answer:

Step-by-step explanation:

edge 2021

Pls only help if you know the correct answer! Thanks! :)

Answers

Answer:

Line C.

Step-by-step explanation:

Negatives are supposed to be on the left side of the 0, not the right side, so we can determine that lines B and D are wrong. On line A, -3/5 is on -2 which is wrong, so line C is the correct answer.


solving system by substitution

Answers

Given the system of equations below:

[tex] \large{ \begin{cases} x + 2y = 12 \\ x = y - 12 \end{cases}}[/tex]

For the second equation, x-term is isolated and can be substituted in the first equation.

[tex] \large{(y - 12) + 2y = 12}[/tex]

The equation above is when we substitute x = y-12 in the first equation. Cancel the brackets.

[tex] \large{y - 12 + 2y = 12}[/tex]

Add up the like term and isolate y-term.

[tex] \large{3y - 12= 12} \\ \large{3y - 12 + 12 = 12 + 12}[/tex]

Add both sides by 12 to get rid of 12 from the left side to isolate y-term.

[tex] \large{3y = 24}[/tex]

Divide both sides by 3 so we can finally isolate the term.

[tex] \large{ \frac{3y}{3} = \frac{24}{3} } \\ \large{ \frac{ \cancel{3}y}{ \cancel{3}} = \frac{ \cancel{24}}{ \cancel{3}} } \\ \large{y = 8}[/tex]

Next, find the x-value because in system of equations - we have to answer as in an ordered pairs or coordinate point. We know y-value now but we don't know x-value yet. To find x-value, we substitute the y-value in one of two equations that are given. You can substitute in both equation but it's not necessary to substitute in both equations at one. I will choose to substitute in x = y-12.

[tex] \large{x = y - 12}[/tex]

Substitute y = 8 in the equation.

[tex] \large{x = 8 - 12} \\ \large{x = - 4}[/tex]

Now that we know the both values. We finally have an answer to this problem. Hence.

Answer

x = -4, y = 8(-4,8)

The second answer is in ordered pair form. Let me know if you have any doubts!

o(d)'?
Which expression is equivalent to

Answers

Answer:

2nd Option:

[tex] \frac{1}{ {a}^{42} } [/tex]

Step-by-step explanation:

[tex] {( {r}^{ - 7}) }^{6} [/tex]

Since,

[tex] {( {a}^{x}) }^{y} = {a}^{xy} [/tex]

Then,

[tex] = {r}^{ (- 7 \times 6)} = {r}^{ - 42} [/tex]

Since,

[tex] {a}^{ - 1} = \frac{1}{a} [/tex]

Then,

[tex] = {r}^{ - 42} = \frac{1}{ {r}^{42} } [/tex]

Therefore,

2nd Option is correct.

A warehouse has a height of 8\frac{1}{2}8 2 1 ​ meters, length of 120120 meters, and width of 20\frac{3}{10}20 10 3 ​ meters. What is the volume of the warehouse?

Answers

Answer: [tex]20,706\ m^3[/tex]

Step-by-step explanation:

Given

The warehouse has the following dimension

Height is [tex]h=8\frac{1}{2}\ m[/tex]

[tex]h=\dfrac{17}{2}\ m[/tex]

Length is [tex]l=120\ m[/tex]

Width is [tex]w=20\frac{3}{10}\ m[/tex]

[tex]w=\dfrac{203}{10}\ m[/tex]

Volume of the warehouse is the product of height, length and width

[tex]\Rightarrow V=h\times l\times w\\\\\Rightarrow V=\dfrac{17}{2}\times 120\times \dfrac{203}{10}\\\\\Rightarrow V=20,706\ m^3[/tex]

Therefore, the length of the warehouse is [tex]20,706\ m^3[/tex].

PLEASE please help me! this is due tonight. thank you

explaining your answer = brainliest/ five stars

the perimeter of this square is 48 cm. c = ___ cm

Answers

Answer:

c = 12

Step-by-step explanation:

If c is one side you would need to multiply that side times 4 because that's the way you find the perimeter. In this case, you need to divide 48 by 4 so that you get the centimeters for each side. The answer is 12

Brainliest pls

What is another name for the line GI in the image below?

Answers

Answer:

Line m

Step-by-step explanation:

The line is labeled with an m.

Which of the following is most likely the next step in the series?

Answers

⁺˚*・༓☾✧.* ☽༓・*˚⁺‧

❀ [tex]\huge\underline{ \underline{ \text{Answer :-}}}[/tex]

➺ It's likely to be option D.

[tex]\underbrace{ \overbrace{ \mathfrak{Explanation}}}[/tex]

➺ The first figure has a line which divides the circle ⭕ into 2 parts. The 2nd figure divides the circle ⭕ into 3 parts while the 3th figure divides the circle ⭕ into 4 parts. Obviously, the 4th figure then should divide the circle ⭕ into 5 parts. Checking all the given options,

Option A. doesn't divide the circle ⭕ into any parts.Option B. divides the circle ⭕ into 3 partsOption C. divides the circle ⭕ into 4 parts.Option D. divides the circle ⭕ into 5 parts.

⟹ So, option D. is the correct answer.

⁺˚*・༓☾✧.* ☽༓・*˚⁺‧

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ ツ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

6 friends go out for dinner and the bill for food and drink comes to £140.
The friends decide to add a 20% tip on top of this total.
If they divide the expense equally between them, how much does each friend pay?

Answers

Answer:

£28

Step-by-step explanation:

140 x .2 = 28

28+140 = 168

168/6 = 28

ahhh help its PLATO
'la

Answers

Answer:

D

Step-by-step explanation:

To find the inverse of a function, first replace f(x) with y.

Next, switch all the x's and y's, and then solve for y.

Finally, replace y with f-1(x).

Three friends go to the movies and spend a total of $75.00. Each friend bought a ticket and a small popcorn that cost $8.25 how much was each ticket

Answers

Answer:

16.75 Dollars for each Ticket

Step-by-step explanation:

They are three friends so the total money they spent is 75 Dollars so a popcorn costs 8.25 EACH friend so

8.25 x 3

= 24.75

24.75 dollars was spent on the 3 popcorns.

Subtract the total money spent and the total money spent on the 3 popcorns so

75. 00 - 24.75

= 50.25

50.25 dollars were totally spent on the tickets but we're looking for each ticket so divide it by 3.

50.25/3

= 16.75

16.75 dollars each were spent on each ticket.

Thank you and pls mark me as brainliest! Love y'all!

A rectangular flower pot is 30 cm long, 16 cm wide and 12 cm high. How much soil is needed to fill the flower pot?

Answers

5,760 cubic centimeters of soil is needed to fill the rectangular flower pot

This question is asking for the volume of a rectangular prism (length x width x height):
30 • 16 • 12 = 5,760

The volume is measured in cubic feet in this case.

Final answer: 5,760 cubic feet of soil

Hope this helps!

At 9:30 am, Hudson and Colin leave on a bicycle trip. Their average speed is 20 km/ h. At 11:30 am, Danielle leaves from the same place and starts driving after them in her car. Her average speed is 60 km/ h. Create a system to determine how long will it take Danielle to catch up with Hudson and Colin?

Answers

Answer:

Step-by-step explanation:

11:30-9:30=2

so Danielle starts 2 hrs late.

let Danielle catches them after x hrs.

x×60=(x+2)×20

divide by 20

3x=x+2

3x-x=2

2x=2

x=1

so Danielle takes 1 hour to catches them.

Give m || n, find the value of x and y

Answers

Answer:

Step-by-step explanation:

2x + 4 + 7x - 13 = 180 degree

9x - 9 = 180

9x = 180 + 9

x = 189/9

x = 21 degree

2x + 4 + 3y + 14 = 180 degree (being linear pair)

2*21 + 4 + 3y + 14 = 180

42 + 18 + 3y = 180

60 + 3y = 180

3y = 180 - 60

y = 120/3

y = 40 degree

Enter the coordinates of the point on the unit circle at the given angle. 135° (-VII, VI Enter​

Answers

related angle is 45 degrees, set up a triangle and use exact trig values to solve for x and y, then rationalise the denominators

The coordinates of the point on the unit circle at the given angle. 135° is (-√2 / 2, √2 / 2).

What is a unit circle?

A circle on the Cartesian Plane with a radius of one unit and a center position is referred to as a unit circle (0, 0). When working with angles and trigonometric functions, the unit circle is a useful tool that makes reference much simpler. The Pythagorean Theorem can be used with the unit circle.

Given:

The unit circle at the given angle 135°,

Calculate the value of sin45 as shown below,

sin (180 - 135) = 1 / √2

sin 45 = 1 / √2

cos(180 - 135) =  1 / √2

cos45 = 1 / √2

Write the coordinates as shown below,

Coordinates = (1 / √2 × √2 / √2, 1 / √2 × √2 / √2 )  (Second quadrant is (-x, y))

Coordinates = (-√2 / 2, √2 / 2)

Thus, the coordinates are  (-√2 / 2, √2 / 2).

To know more about unit circle:

https://brainly.com/question/11743473

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If X = 13 units, Y = 15 units, and h = 11 units, what is the area of the parallelogram shown above?

Answers

Answer:

the area of the parallelogram = base times the height

For the given parallelogram :

x = 8 units, y = 13 units, and h = 11 units

1) If x is the perpendicular to h

So, the base = 8 and the height = 11

So, the area = 8 * 11 = 88 square units

2) If y is the perpendicular to h

So, the base = 13 and the height = 11

So, the area = 13 * 11 = 143 square units

Step-by-step explanation:

p borrowed Rs. 16000 from a person at 12 % per Annum simple interest and lent the whole amount to Q at the same rate of annually compound interest, how much did he gain after 3 years ? Find it.​

Answers

Answer:

P earned $ 718.85.

Step-by-step explanation:

Given that P borrowed $ 16000 from a person at 12% per annum simple interest and lent the whole amount to Q at the same rate of annually compound interest, to determine how much did he gain after 3 years the following calculation must be performed:

16,000 x 0.12 x 3 = X

1,920 x 3 = X

5,760 = X

16,000 x (1 + 0.12 / 1) ^ 3 = X

16,000 x 1.12 ^ 3 = X

16,000 x 1.404928 = X

22,478.85 = X

22,478.85 - 16,000 = 6,478.85

6,478.85 - 5,760 = X

718.85 = X

Therefore, P earned $ 718.85.

Given
g(x) = 4x2 + 6
What is g(-3)

Answers

Answer:

[tex]g(-3)=42[/tex]

Step-by-step explanation:

Given:

[tex]g(x)=4x^2+6[/tex]

Let's substitute -3 for [tex]x[/tex]

[tex]g(-3)=4(-3)^2+6[/tex]

Now, let's solve

[tex]g(-3)=4(9)+6[/tex]

[tex]g(-3)=36+6[/tex]

[tex]g(-3)=42[/tex]

Hope this helps

g(-3)=42 or g(x)=42 or 42
(Not sure how your program would write the answer)
Basically what you do is input -3 into wherever there is an x. So the equation would become 4(-3)^2+6 which equals 42
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