Choose the correct simplification of the expression (7m3 n) 2. 14m5n3 14m6n2 49m5n3 49m6n2

Answers

Answer 1

For this case we have the following expression:
(7m ^ 3n) ^ 2
By power properties we can rewrite the expression as:
((7 ^ 2) (m ^ (3 * 2)) (n ^ 2))
Then, simplifying we have:
(49 (m ^ 6) (n ^ 2))
Answer:
the correct simplification of the expression is:
(49 (m ^ 6) (n ^ 2))

Related Questions

Please help to solve.

Answers

#8 is no solution because 0 does not equal 4
#10 the answer is no because (3, -1) does not work for both equations

Can someone please help me on number 8. Explain how you got the answer please .

Answers

First you'll have to find the value of x.

The two labeled angles are alternate exterior which means they are congruent.

Set the equal to each other and solve for x.

3x = 4x - 24
3x - 4x = -24
-x = -24
x = -24/-1
x = 24

Now use 24 for x and find the value of angle RST.

RST = 3(24)
RST = 72

The answer is D.

Hope this helps :)

Which shows a correct order to solve this story problem? Lucy bought some muffins for her sports team. She bought 1 box of 12 blueberry muffins for $6.60 and 1 box of 6 cranberry muffins for $3.36. How much did Lucy pay for 1 cranberry and 1 blueberry muffin? A. Step 1: Calculate the price of 1 blueberry muffin. Step 2: Calculate the price of 1 cranberry muffin. Step 3: Multiply the 2 numbers together. B. Step 1: Add $6.60 to the price of a box of cranberry muffins. Step 2: Calculate the price of 1 blueberry muffin. Step 3: Multiply the 2 numbers together. C. Step 1: Calculate the price of 1 blueberry muffin. Step 2: Calculate the price of 1 cranberry muffin. Step 3: Add the 2 numbers together. D. Step 1: Add $3.36 to the price of a box of blueberry muffins. Step 2: Calculate the price of 1 cranberry muffin. Step 3: Multiply the 2 numbers together.

Answers

The only correct one is C

Hey can someone help me with #17

Answers

D. 54° as you know an external angle has to equal up to 360

when you start plugging in 360 by 36 gives you 10
360 by 40 gives you 9
360 by 45 gives you 8
360 by 54 gives you 6.666 repeating you know that it isn't possible
you cannot have a repeating number of sides as an angle measure
that's how you get that answer

Francine just created a music video and uploaded it to YouTube. She is keeping track of the number of hits (visits) to her video. The table shows the number of hits, y, in each of the first 10 days, where x is the day number. After regression analysis, she find that the equation y = 18.36(1.74)x represents the situation. What does the base number represent in this situation?

Answers

The base, 1.74, represents 100% of the original number of hits plus the percent increase, 0.74=74%, daily.

The base number in the given situation is 1.74. This number is commonly referred to as the growth rate.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The given equation y = 18.36(1.74)ˣ represents the situation.

The base number in this equation is 1.74. In an exponential function, the base is a constant multiplied by itself a certain number of times.

In this case, the base is multiplied by itself x number of times.

For example, on day 1 (x=1), the number of hits is 18.36(1.74)¹ = 32.5 hits.

On day 2 (x=2), the number of hits is 18.36(1.74)² = 56.6 hits. The base number represents the rate at which the number of hits is increasing. If the base is greater than 1, the number of hits is increasing at an exponential rate.

If the base is less than 1, the number of hits is decreasing at an exponential rate. If the base is equal to 1, the number of hits is increasing at a constant rate.

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whats 5 plus 4 ..........

Answers

5 + 4 = 9

Imagine you have 5 apples and then you add 4 more on,

5 + 1 + 1 + 1 + 1 = 9

Hope this helps.

5 plus 4 is equivalent to 9. This can be represented abstractly

||||| + |||| = |||||||||

Quadrilateral ABCD is translated 2 units left and 3 units up to form quadrilateral A'B'C'D'

What are the coordinates of the vertices of the new figure?

A)
A' (-3, 0)
B' (-3, 3)
C' (0, 2)
D' (0.5, 0)

B)
A' (-8, 5)
B' (-8, 8)
C' (-5, 7)
D' (-4.5, 5)

C)
A' (5, -8)
B' (8, -8)
C' (-5, 7)
D' (5, -4.5)

D)
A' (-3, 5)
B' (-3, 8)
C' (-6, 7)
D' (-5.5, 5)

Answers

The answer would be
B)
A' (-8, 5)
B' (-8, 8)
C' (-5, 7)
D' (-4.5, 5)

The coordinates of the vertices of the new figure A'B'C'D' are A'(-8, 5), B' (-8, 8), C' (-5, 7), and D' (5, -4.5).

The coordinates of the vertices of quadrilateral ABCD are A(-6, 2), B(-6, 5), C(-3, 4), and D(-2.5, 2).

To translate the quadrilateral 2 units left and 3 units up, we subtract 2 from the x-coordinates

and add 3 to the y-coordinates of each vertex.

Therefore, the coordinates of the vertices of quadrilateral A'B'C'D' are A'(-8, 5), B' (-8, 8), C' (-5, 7), and D' (5, -4.5).

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If you flip a coin and roll a 5-sided die, what is the probability that you will flip a tails and roll a 2?

Answers

[tex] |\Omega|=2\cdot5=10\\
|A|=1\\\\
P(A)=\dfrac{1}{10}=10\% [/tex]

a rancher wants to use 400 feet of fencing to enclose a rectangular area of 6400 square feet. what dimensions should the rectangle have ?

Answers

lets l to be lenght, w width, p perimeter and a area:

a=lw

6400 ft²=lw

2(l+w)=p

2(l+w)=400 ft

l+w= 200 ft

l=200ft-w

substitute it instead of l to lw=6400ft²

(200-w)w=6400

200w-w²=6400

w²-200w+6400=0

(w-160)(w-40)=0

w = 160ft

w = 40ft

l=200-w

l=200-160 = 40ft

l= 200-40 =160ft

Final answer:

The rancher should build a square with dimensions of 80 feet by 80 feet to obtain an area of 6400 square feet with 400 feet of fencing.

Explanation:

In this Mathematics task, the rancher is looking to build a rectangular area with a fixed amount of fencing. The information provided is:

Length of Fencing = 400 feet Area = 6400 square feet

Let l represent the length and w represent the width of the rectangle. Now, we know that a rectangle's perimeter is given by the formula, 2(l + w), and its area by l*w. Given the Area = 6400 and Length of Fencing = 400, we can set up the following two equations:

lw = 6400 (Area) 2(l + w) = 400 (Perimeter)

Solving these two equations simultaneously, we get l = 80 feet and w = 80 feet. So, the rectangle is actually a square, with equal length and width of 80 feet.

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Let a=x^2+4. rewrite the following equation I terms of a and set it to equal zero.

(x^2+4)^2+32=12x^2+48

In resulting equation what is the coefficient of the a term?___

In the resulting equation, what is the constant? ____

Answers

[tex](x^2+4)^2+32=12x^2+48\\\\(x^2+4)^2+32=12(x^2+4)\\\\a^2+32=12a\\\\\boxed{a^2-12a+32=0} [/tex]

so:

In resulting equation what is the coefficient of the a term? -12

In the resulting equation, what is the constant? 32

Answer:

1) -12

2) 32

Step-by-step explanation:

From midnight to 6:00 am, the temperature rose 8*C. At 6:00 am, the temperature was -20*C. What was the tempeature at midnight?

Answers

-12*C From 12pm to 6am the temp was unknown but at 6 it was -20*C just subtract that by -8*C

Team A scored the following points per game: 67, 45, 92, 77, 73, 72, 80, 62, and 44. What is the mean of Team A?

Answers

Mean is the average. To calculate the average, we add up all given numbers, then divide by the quantity of numbers given.

STEP 1:
add all numbers

=67+45+92+77+73+72+80+62+44
=612 total

STEP 2:
divide the total points from step 1 by the quantity of numbers given (9).

=612 ÷ 9
=68 average

ANSWER: Team A has an average score of 68 per game.

Hope this helps! :)

The mean scores for all 9 games played is 68

Measure of Central Tendency

Given Data

Sum of Scores = 67+ 45+ 92+77+73+ 72+ 80+ 62+ 44 = 612Numbers of games = 9

Hence the mean is computed is the summation of scores over the number of games played

= 612/9

= 68

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the function ........

Answers

I am sure, It is false.

8(t+2)-3(t-4)=6(t-7)+8 i dont understand this is 5.111111 correct?

Answers

8(t + 2) - 3(t - 4) = 6(t - 7) + 8

To solve this equation, first apply the Distributive Property. The Distributive Property is defined as a(b + c) = ab + ac. We'll need to apply it three times for this equation.

8(t + 2) => 8t + 16
-3(t - 4) => -3t + 12
6(t - 7) => 6t - 42

This gives us

8(t + 2) - 3(t - 4) = 6(t - 7) + 8
8t + 16 - 3t + 12 = 6t - 42 + 8

Next, combine like terms (constants with constants and variable terms with variable terms).

8t + 16 - 3t + 12 = 6t - 42 + 8
5t + 28 = 6t - 34

Now we need to get all constants on one side and all variable terms on the other side. Begin doing so by first subtracting 28 from both sides.

5t + 28 = 6t - 34
5t = 6t - 62

Subtract 6t from both sides.

5t = 6t - 62
-t = -62

Divide both sides by -1.

t = 62

Answer:
t = 62

Darren is finding the equation in the form y=mx+b for a trend line that passes through the points (2, 18) and (–3, 8). Which value should he use as b in his equation?

Answers

gradient = (8-18)/(-3-2)
= -10/-5
= 2

y = mx + b , at point ( -3,8 )
8 = 2(-3) + b
8 = - 6 + b
b = 14

we cannot simply take one of the y coordinate as value of b because b is the interception of straight line,not a point

Hello!

B - Y-intercept

First, let's write out the equation by finding the slope

[tex]y = mx + b [/tex]

[tex] \frac{8-18}{-3-2} = \frac{-10}{-5} = 2[/tex]

Our slope is 2. Let's plug this in

[tex]y = 2x + b[/tex]

Now let's find the y-intercept. Plug one of the x and y values into the equation. I'll use the ones for (2, 18) since they're positive.

[tex]18 = 2(2) + b 18 = 4 + b 18 - 4 = 4 - 4 + b 14 = b [/tex]

He should use the number 14 as the y-intercept. Here's what his equation will look like.

[tex]y = 2x + 14[/tex]

Hope I helped! :3

Which statement is true about two angles that are complementary?
A. The angles share a common ray.
B. The sum of the measures of the two angles is 90°.
C. The angles are opposite each other.
D. The sum of the measures of the two angles is 180°.
ITS B!!!

Answers

Complementary angles are two angles that total 90°, so yes, you are correct.

ANSWER: The answer is (B) the sum of the measures of the two angles is 90°.

Hope this helps! :)

Answer:

Step-by-step explanation:

the answer is b hope this helps

If 21% of the customers in a restaurant order fish, what is the probability that the next 3 costumers in a row will order fish?

Answers

Probability of ordering a fish=21%=0.21, given that this is an independent event
then the probability of the next 3 customers in a row will order fish will be given by:
P(fish)=0.21×0.21×0.21=0.009261

Answer: 0.009261

A square has an area of 64 square units.A cube has a volume of 64 cubic units, What is the difference in the side length of the square and the length of one edge of the cube?

A.0 units

B.2 units

C.4 units

D.8 units

Answers

To find the length of the side of the 64 units ² square , simply take the root of the area,

[tex] \sqrt{64} = 8[/tex]

~~

To find the length of the side of the 64 units ³ cube , simply make an equation,

[tex]x \times x \times x = 64[/tex]

Calculate the product and then take the root of both sides and get, x = 4

~~

Now, we subtract since " difference " means to subtract...

8 - 4 = 4

~~

Answer : 4

~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey

YOU WILL GET A BRAINLIEST IF YOU HELP ME What sequence of transformations, when applied to △HIJ , shows that △HIJ is similar to △H′I′J′ ?

translation of 2 units down followed by a dilation with respect to the origin by a scale factor of 13

dilation with respect to the origin by a scale factor of 13 followed by a translation of 2 units down

dilation with respect to the origin by a scale factor of 3 followed by a translation of 2 units up

translation of 2 units up followed by a dilation with respect to the origin by a scale factor of 3

Answers

translate two down, and dilate by a scale factor of 1/3, this is the answer simplified as im lazy, oh well

Grace sureyed 60 random students in her school.Of these 14 said they enjoy watching Dancing with the star.A total of 570 students in the school. How many these are expected to enjoy dancing with the Stars?

Answers

I think it is 133 students that like Dancing with the stars

Using the proportion of students who enjoy watching Dancing with the Stars from Grace's survey, we can estimate that approximately 133 students at her school are expected to enjoy the show.

Grace surveyed 60 random students at her school and found that 14 enjoy watching Dancing with the Stars. With a total of 570 students in the school, we can establish a proportion to estimate how many students school-wide might enjoy the show. We do this by setting up a ratio of students who enjoy the show to the total number of students surveyed and then use that ratio to estimate the number for the entire school population.

To calculate, we take the ratio from the survey (14/60) and apply it to the total student body (570) like so:

Determine the ratio of students who enjoy the show from the survey: 14 out of 60.Find what proportion that ratio represents: 14/60 = 0.2333 (rounded to four decimal places).Apply this proportion to the entire student population: 0.2333 * 570 = 133.01, which we round to 133 students expected to enjoy Dancing with the Stars.

Therefore, approximately 133 students in Grace's school are expected to enjoy watching Dancing with the Stars.

what is 1.44 ÷ 0.3?????

Answers

When you divide these two numbers together,, the answer is going to be 4.8. This also equals to[tex] \frac{24}{5} [/tex] or [tex] 4 \frac{4}{5} [/tex]. Let me know if you don't happen to know how to do division with decimals,, and I would be more than happy to teach you.
Let me know if you have any further questions.
:)

Final answer:

The problem 1.44 ÷ 0.3 equals to 4.8 when you using standard procedure for division, first moving the decimal point one position to the right for both numbers to get 14.4 ÷ 3.0, and then performing the division.

Explanation:

To find the result of 1.44 ÷ 0.3, you can use the standard procedure for division. One way to make this easier is to modify the divisor to be a whole number. To do this, we can move the decimal point one position to the right. But we have to do the same thing with the dividend too. Therefore, the problem becomes 14.4 ÷ 3.0. And when you perform this division, the answer is 4.8. So, 1.44 divided by 0.3 is equal to 4.8.

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ANYONE???

The meteorologist recorded the amount of rainfall, in centimeters, at 10 different locations during 1 day and then arranged the amounts from smallest to largest.

The amounts were 2, 2, 2, 2, 3, 3, 3, 4, 4, and 5 cm. The mean of these measurements is 3 cm.

What is the mean absolute deviation? 0.0 cm 0.8 cm 1.0 cm 2.5 cm

Answers

The correct answer would be 0.8 cm
I hope this helps !

1)four congruent circular holes with a diameter of 2in were punched out of a piece of paper,what is the area of the paper that is left use 3.14pi
A)80.94
B)90.36
C)93.50
D)106.06
and can someone explain how to find the answer for these type of problem?

Answers

For this case we first calculate the area of the complete rectangle.
We have then:
A1 = (8.5) * (11)
A1 = 93.5
Then, we calculate the area of each circle:
A2 = pi * r ^ 2
A2 = (3.14) * (2/2) ^ 2
A2 = 3.14
The total area is given by:
A = A1 - 4 * A2
A = 93.5 - 4 * (3.14)
A = 80.94 in ^ 2
Answer:
A) 80.94

Answer:

80.94 is the answer

Step-by-step explanation:

Mr. Hanson has 3 lemons and 1 lime in a bag. He selects one piece of fruit without looking. What is the probability that Mr. Hanson will select a lemon?

A. 1/4
B. 1/3
C. 2/3
D. 3/4

Answers

The probability that Mr. Hanson will pick a lemon is d. 3/4.

3 + 1 = 4. The 3 lemons make up 3/4 of the fruit, so he has a 3/4 chance, or 75% chance of picking a lemon.

Hope I could help! Let me know if there is anything else you need!

p.s. Brainliest? I am trying to get to higher ranks and it would really help :)

Lemons = 3
Lime = 1
Total = 4

Probability :
[tex] \dfrac{3}{4} = \dfrac{lemons}{total} [/tex]

Answer is D. 3/4

Hope this helps. - M

In a survey 200 people were polled at a local shopping center about spending free time playing sports, watching a movie, or reading a book. The relative frequency table below displays the results.

a. How many males surveyed preferred playing sports?

b. How many people surveyed preferred to read a book?

c. How many females were surveyed?

Answers

are we answering in a percentage?

There were total 2000 people in the survey.

We can multiply relative frequency of any particular category with the total number of people to find the answer for each part.

Part A: How many males surveyed preferred playing sports?

Total Relative frequencies of Males who preferred playing sports = 0.30

Number of Males preferred playing sports = 0.30 x 2000 = 600.

Part B: How many people surveyed preferred to read a book?

Total Relative frequencies of people who preferred reading book = 0.10 + 0.15 = 0.25

Number of people preferred reading book = 0.25 x 2000 = 500.

Part C: How many females were surveyed?

Total Relative frequencies of Females = 0.15 + 0.05 + 0.15 = 0.35

Number of Females surveyed = 0.35 x 2000 = 700.

The standard form of a number represented by the Roman numeral MMCCXLVIII is:

Answers

The standard form is 2248

HEEEEEEEEEEEEELLLLLLLLLLPPPPPPPPPP

Fraction 4 over 5n = Fraction 2 over 3. n = ___?

A. Fraction 2 over 15
B. Fraction 5 over 6
C. 1Fraction 1 over 5
D. 1Fraction 7 over 15

Answers

The answer is B, 5/6, because when you multiply 4 by 5 it is 20, and when you multiply 5 by 6, you get 30, so 20/30. And, 20/30=2/3. I hope I answered your question!

The correct option is (b) 5/6.

What is fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given ,

[tex]\frac{4}{5} n = \frac{2}{3} \\[/tex]

now do simply cross multiplication both sides,

4n × 3 = 2 × 5

4n = 10/3

n = 10/3 ×4

n = 10/12 ⇒ 5/6

Therefore, value of n is 5/6.

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What is the formula for a circle that has a center at (-1,4) and goes through the point (-4,0)?

Answers

Its (x + 1)^2 + (y - 4)^2 = r^2 ( because the center is at (-1,4)
To find r^2 we substitute for the point (-4,0):-
r^2 = (-4+1)^2 + (0-4)^2 = 9 + 16 = 25

r^2 = 25 so the answer is:-

(x + 1)^2 + (y - 4)^2 = 25

Josh has scores of 16,19 and 23 on three quizzes what score must he get on the next quiz to have an average of at least 20?

Answers

Hi,
Let the score be x
average=sum of observations/no. of observations
20=16+19+23+x/4
20=58+x/4
20*4=58+x
80=58+x
80-58=x
x=80-58
x=22
To get at least 20, he should at least score 22 in his next quiz.
Hope this helps you.

20*4=80
The sum of the numbers should be 80.
16+19=35+23=58
80-58=22

The answer is 22.

A circular plate has circumference 34.5 inches. What is the area of this plate? Use 3.14 for pi.

Answers

Final answer:

To find the area of the plate, we first calculate the radius using the given circumference and then plug this into our formula to find the area. The calculated area of the plate is approximately 94.52 square inches.

Explanation:

The student is asking for the area of a circular plate with a given circumference, using 3.14 for pi. The formula to calculate the area of a circle is A = πr². However, we only have the circumference, which allows us to find the radius using the formula C = 2πr, or rearranged to solve for r, r = C / (2π). Plugging in the given circumference of 34.5 inches, we find the radius to be 34.5 / (2 * 3.14) = 5.49 inches. Now, we can find the area by substitifying this value back into our area formula, A = πr², yielding A = (3.14) * (5.49²) ≈ 94.52 square inches.

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Final answer:

To find the area of the circular plate having its circumference as 34.5 inches, we firstly calculate its radius using the formula r = Circumference/(2π) which gives approximately 5.49 inches. We then substitute the radius value in the formula for area of a circle (Area = πr²), yielding an area of approximately 94.52 square inches.

Explanation:

In mathematics, the circumference of a circle is related to its radius through the formula: Circumference = 2πr.

Given that the circumference of the plate is 34.5 inches, and we use 3.14 for π, we first work out the radius by rearranging the formula like so: r = Circumference / (2π).

Substitute the given values: r = 34.5 inches / (2*3.14)

Do the calculation: r approximately equals 5.49 inches.

Next, use the formula for the area of the circle which is: Area = πr².

Substitute r: Area = 3.14 * (5.49 inches)²

Calculate: Area is approximately 94.52 square inches.

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