b) Simplify (4ab^2)^3​

Answers

Answer 1

Answer:

[tex]64a^{3} b^{6}[/tex]

Step-by-step explanation:

[tex](4ab^2)^3[/tex]

=> [tex]4^{3} a^{3} b^{6}[/tex]

=> [tex](4 \times 4 \times 4) a^{3} b^{6}[/tex]

=> [tex]64a^{3} b^{6}[/tex]


Related Questions

When completely factored, 8x + 2y - 4

Answers

Answer:...

-4+8x+2xy

Step-by-step explanation:

find the height of the cylinder if the volume is 340, and the length is 3

Answers

Answer:

113

Step-by-step explanation:

divide the volume with the length

can anyone help me with this please marking brainly :)

Answers

Answer:

I can answer Part B since I can't explain Part A in words.

Step-by-step explanation:

Angle 2 = 109 degrees (since it is a straight angle witch is 180 degrees. What you need to do is subtract the given with 180.)

Angle 3 = 81 degrees (I don't know how to explain this. Sorry.)

Angle 4 = 81 degrees (I also don't know how to explain this.)

The United States government wanted to determine what proportion of Americans approve of the current President so they conducted a survey of 2,000 randomly chosen Americans. Assume that the true proportion of Americans who approve of the president is 0.46. Determine what the mean and the standard deviation of the sampling distribution of the sample proportion would be. Round to 2 decimal places when necessary. The mean of the sampling distribution is .43 and the standard deviation of the sampling distribution is .05 .

Answers

Answer:

The mean of the sampling distribution is 0.46

The standard deviation of the sampling distribution is 0.01

Step-by-step explanation:

We use the central limit theorem to solve this question:

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

[tex]p = 0.46, n = 2000[/tex]

So

Mean: [tex]\mu = p = 0.46[/tex]

Standard deviation: [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.46*0.54}{2000}} = 0.01[/tex]

The mean of the sampling distribution is 0.46

The standard deviation of the sampling distribution is 0.01

The mean and the standard deviation of the sampling distribution of the sample proportion are 0.46 and 0.01 respectively

Proportion and standard deviation

The formula for calculating the standard deviation for a sample proportion is given as:

[tex]\sigma =\sqrt{\frac{p(1-p)}{n} }[/tex]

p is the proportionn is the sample size

Note that p = mean = 0.46

To get the standard deviation:

[tex]\sigma =\sqrt{\frac{0.46(1-0.46)}{2000} }\\\sigma =\sqrt{\frac{0.46(0.54)}{2000} }\\\sigma = 0.01[/tex]

Hence the mean and the standard deviation of the sampling distribution of the sample proportion are 0.46 and 0.01 respectively.

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pls help 20 points I just need an explanation ​

Answers

Answer:

i=prt

i = 1,000 x 0.045 x 1.5

Step-by-step explanation:

Dan spends 1/4 of his wages on rent and 2/3 on food. If he makes £264 per week, how much money does he have left?

Answers

Answer:

Step-by-step explanation:

¼ + ⅔ = 11/12

1 - 11/12 = 1/12

He has 1/12 of £264 = £22 left

Find each difference.
• (-5) – 6 =
.
35 – (-8) =
.
43 - (-1) =

Answers

Answer:

1=1

2=43

3=44

Step-by-step explanation:

the subtraction negative and the negative in the parentheses make a positive so instead of subtracting them you add them together


John has 78 total cows, and was excited to have 65 calves this season. What percentage calf crop
did John achieve?

Answers

Answer:

83%

Step-by-step explanation:

65/78=.83333333333333

0.833333333 turnes into 83% once rounded and multipyled by 100

Courtney walks 5 laps around 1/4 mile track. how far does she walk?

Answers

Answer:

1 1/4 miles

Step-by-step explanation:

how do i write the fraction 3/4 as a product of a whole number and a unit fraction

Answers

Answer:

3/1*1/4

Step-by-step explanation:

when you multiply 3/1 by 1/4

Answer:

3\4

Step-by-step explanation:

a car is 180inches long. a truck is 75% longer then the car. how long is the truck?

Answers

Answer:

135 in.

Step-by-step explanation:

When a penny is flipped two times, the probability of flipping exactly one tail is__?

Answers

Answer:

[tex]P(Tail = 1) = \frac{1}{2}[/tex]

Step-by-step explanation:

Given

[tex]Flips = 2[/tex]

Required

Probability of exactly one tail

This event can be represented as:

(Head and Tail) or (Tail and Head)

In the flip of a coin (penny), the following probabilities exist:

[tex]P(Head) = \frac{1}{2}[/tex]

[tex]P(Tail) = \frac{1}{2}[/tex]

So, the required probability is:

[tex]P(Tail = 1) = (P(Head) * P(Tail)) + (P(Tail) * P(Head))[/tex]

Substitute values for P(Head) and P(Tail)

[tex]P(Tail = 1) = (\frac{1}{2}*\frac{1}{2}) + (\frac{1}{2}*\frac{1}{2})[/tex]

[tex]P(Tail = 1) = (\frac{1}{4}) + (\frac{1}{4})[/tex]

[tex]P(Tail = 1) = \frac{1}{4} + \frac{1}{4}[/tex]

Take LCM

[tex]P(Tail = 1) = \frac{1+1}{4}[/tex]

[tex]P(Tail = 1) = \frac{2}{4}[/tex]

[tex]P(Tail = 1) = \frac{1}{2}[/tex]

Need help on question hurry

Answers

Answer: C

Step-by-step explanation: it is c trust me

Each card in a set of cards has a different number from 1 to 12 written
on it. A student randomly chooses a card, records the number shown
on the card, and replaces the card. The table shows the results of the
student choosing a card 25 times.
Based on the data in the table, how
many of the next 125 cards the
student chooses could be expected
to have a number shown on the card
that is a multiple of 4?
Results

Answers

Answer: 35

Step-by-step explanation: i first divided 12 and 125 since there is 125 cards in total and 12 different cards which gives you 10 point something. There is 3 multiples of 4 so i multiplied 3x10 which gives you 30 and the closest answer is 35. You're welcome

Answer:

35

Step-by-step explanation:

got it right

In the supply-and-demand schedule shown above, at the equilibrium price, the quantity supplied is _____ and the quantity demanded is _____. 0, 500 200, 200 400, 0

Answers

Answer:

200, 200

Step-by-step explanation:

The sum of all the solutions of the equation (6x+k)(3x-11)=0 is 1. Find K

BRANLIEST PLUS 20 POINTS

Answers

Answer:

16

Step-by-step explanation:

6x+k = 0

x = -k/6

3x-11 = 0

x = 11/3

-k/6 + 11/3 = 1

k - 22 = -6

k = 16

The value of k is "8".

Find K:

[tex](6x+k)(3x-11)=0\ \ is \ \ 1 \\\\K=?[/tex]

[tex]\to (6x+k)(3x-11)=0 \ \ is \ \ 1 \\\\\to (6x+k)=0\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and \ \ \ \ \ \ \ \ \ \ \ \ \ \ (3x-11)=0\\\\\to 6x=-k\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3x=11\\\\\to x=-\frac{k}{6}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=\frac{11}{3}\\\\[/tex]

[tex]\to - \frac{k}{6}+ \frac{11}{3}=1\\\\\to \frac{-2k+ 22}{6}=1\\\\\to -2k+ 22=6\\\\\to -2k =6-22\\\\\to -2k =-16\\\\\to k=\frac{16}{2}\\\\\to k=8[/tex]

Therefore, the final value of k is "8".

Learn more about the find k here:

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Find the perimeter of the following shape:

Answers

Answer:

P = 13 + 13 + 10

P = 36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

you add up all the side lengths because that’s what perimeter is. 13+13+10, equals 36!

4. Use the table of values for a quadratic function to identify the following.
X
direction the graph opens:
-3
axis of symmetry:
vertex:
ON W
range:
y-intercept:
(as an ordered pair)
-3
-4
1
-3
x-intercepts:
(as ordered pairs)
2
3
4
interval of increase:
interval of decrease:

Answers

5 if you don’t know just go to khan academy they help you with every thin

whats 3(2x-1)+7=6x-3-2(2-4x)

Answers

Answer:

x = -1

Step-by-step explanation:

DistributeCombine like-termsSimplifyboom

solve the following problem. round to one decimal place if necessary. if your answer is correct you will see an image appear on your screen

Answers

Answer:

theres no picture

Step-by-step explanation:

ACTON
Find the Percentage, Rate Of Base
1. What is 25% of 1258
Answer:________

2. 50 is what percent of 4502
Answer:________

3. 75 is 30% of what number?
Answer:________​

Answers

Answer:

314.5

2252.5

250

Step-by-step explanation:

give me stuff thats equivalent to 2/10
plz
i dont know my mafs

Answers

1/5 hgghhshzhzhzhnxhdhdhd

Joanie has 15 hair ribbons. She has 7 less hair ribbons than her friend, Sara. Which equation
can be used to determine the number of hair ribbons Sara has, s?
S-7 = 15
7 - S =15
7s = 15
S + 7 = 15

Answers

S+7=15 is correct I believe

7(-9a-3)-2a please help

Answers

Answer:

-65a -21 "that is the simplified version"

Answer:

-65a - 21

Step-by-step explanation:

7 ( -9a - 3 ) -2a

Distribute, multiply every term in the parenthesis by the term right outside of the parenthesis,

7 ( -9a - 3 ) - 2a

-63a - 21 - 2a

Simplify

-65a - 21

what is the quotient of 223, 692 divided by 42

Answers

Answer:

5,326

Step-by-step explanation:

What is the multiplicative rate of change of the
function?

Answers

Answer:

the multiplicative rate of change for the exponential change is 3

Step-by-step explanation:

Tell whether the product of Prxs and Q5x3 is defined. If so, give the dimensions of PQ.

undefined
defined; 7 x3
defined; 3 x 7
defined; 5 x 5

What are the dimensions of a 2x4x8

Answers

Answer:   Many of you know this, but why is this a thing? You don't go to Subway and pay for a $5-footlong expecting to get 11 inches (although many of you will argue this is the case). And it's not just a 2x4: A 1x4 is actually ¾ inches by 3-½ inches; a 4x4 is actually 3-½ inches by 3-½ inches.

Step-by-step explanation:

If you are asking what they equal up too, your answer is 16

If this isn't, please correct me and I will give you a better answer

Which pairs of polygons are similar?
Select each correct answer

Answers

Answer:

Left side: Bottom

Right side: Top

Step-by-step explanation:

If the angles are congruent AND the sides are proportional, then the two polygons are similar.

The similar pairs of polygons are:-

Left side: Bottom

Right side: Top

What are polygons?

A polygon is a plane figure described by a finite number of straight-line segments connected to form a closed polygonal chain in geometry. A polygon is defined as a bounded plane region, a bounding circuit, or both.

If the angles are congruent AND the sides are proportional, then the two polygons are similar.

If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.

The polygons left side bottom  right side top are similar to each other in the given image.

To know more about polygons follow

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4.(06.02 MC)
The equation of line AB is y = 2x + 4. Write an equation of a line parallel to line AB In slope-Intercept form that contains point (3,-2). (4 points)
O y = 2x + 4
O y = 2x - 8

Answers

Answer:

The equation of a parallel line in the slope-Intercept form that contains the point (3,-2) is:

y = 2x- 8

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slopeb is the y-intercept

Given the equation of a line

y = 2x + 4

comparing with the slope-intercept form of the line equation

The slope of the line AB is m = 2

We know that the parallel lines have the same slope.

Thus, the slope of the new line is also 2.

now we have,

The slope of new line m = 2The point = (3, -2)

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 2 and the point (x₁, y₁) =  (3, -2)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

y - (-2) = 2(x - 3)

y + 2 = 2x - 6

subtracting 2 from both sides

y + 2 - 2 = 2x - 6 - 2

y = 2x- 8

Therefore, the equation of a parallel line in the slope-Intercept form that contains the point (3,-2) is:

y = 2x- 8

Mark has already earned money for mowing lawns over the summer when he takes a job at the local grocery store, earning $9.50 per hour. After working 16 hours at the grocery store, Mark has earned a total of $292. Write a linear equation to represent the amount of money m that Mark has earned this summer after working h hours at the grocery store.

Answers

Step-by-step explanation:

M=9.5 (16,292)

(y=mx+b)

292=9.5(16)+b

The linear equation m = 9.50 h + 140 represents the amount of money m that Mark has earned this summer after working h hours at the grocery store.

What is the Linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

Mark takes a job at the local grocery store, earning $9.50 per hour.

After working 16 hours at the grocery store, he earned a total of $292.

As per the given question, we can see points (16, 292)

Here earning $9.50 per hour can represent a slope of a linear function

Thus, M = 9.5 (16, 292)

The standard linear equation is given by,

⇒ m = Mx+b ....(i)

Substitute the values in the above equation,

292 = 9.5(16) + b

b = 292 - 152

b = 140

Substitute the value b = 140 in the equation(i),

⇒ m = 9.50 h + 140

Thus, the linear equation m = 9.50 h + 140 represents the amount of money.

Learn more about the Linear equations here:

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