Which Expression is Equivalent to the given expression? (4m^2n)^2/2m^5n

Which Expression Is Equivalent To The Given Expression? (4m^2n)^2/2m^5n

Answers

Answer 1

Answer:

D. [tex] 8 {m}^{ - 1} n[/tex]

Step-by-step explanation:

[tex] \huge \frac{(4 {m}^{2} n)^{2} }{2 {m}^{5}n } \\ \\ \huge= \frac{16 {m}^{4} {n}^{2} }{2 {m}^{5}n } \\ \\ \huge = 8 {m}^{4 - 5} {n}^{2 - 1} \\ \\ \huge \purple{ \boxed{= 8 {m}^{ - 1} n}}[/tex]

Answer 2

Answer:

8m^-1n

Step-by-step explanation:


Related Questions

-(x+3) = 2x-6 what is x

Answers

Answer:

x=1

Step-by-step explanation:

So, first you make sure to multiply the parenthesis by the negative so then it would be,

-x-3=2x-6

Then you add the -3 from the right to the other side

so, -x=2x-3

Then you want all the X variables to one side so you subtract the 2x to both sides.

so, -3x=-3

divide both by -3

x=1

What is the simplified form of each expression? Use
the Distributive Property.
a. (j + 2)7
b. -8(x-3)
c.-(4-0)
d. -(11 + 2b)

Answers

a. 7j + 14

b. -8x + 24

c. -4 + 0

d. -11 - 2b

25 POINTS SIMPLE Identify the segment bisector of IJ. THen find IJ.

Answers

Answer:

did you ever get this answer PLEASE HELP

Step-by-step explanation:

expand using pascal triangle (3x+2)^4

Answers

Answer:

The answer is

81x⁴ + 216x³ + 216x² + 94x + 16

Step-by-step explanation:

(3x + 2)⁴

Using the Pascal's triangle

For an exponent of 4 we have

( a + b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b³

Using a = 3x and b = 2 we have

( 3x +2)⁴ = ( 3x)⁴ + 4 [ (3x)³(2) ] + 6[ (3x)²(2)²] + 4 [ 3x(2)³ ] + 2⁴

Expand and simplify

That's

➢ ( 3x +2)⁴ = 81x⁴ + 4[ (27x³)(2) ] + 6 [ (9x²)(4) ] + 4 [ 3x(8) ] + 16

➢ 81x⁴ 4( 54x³) + 6(36x²) + 4( 24x) + 16

We have the final answer as

81x⁴ + 216x³ + 216x² + 94x + 16

Hope this helps you

Which of these would not produce a representative sample that determines the favorite sport of the students at the local high school?

Answers

Answer:

The answer is ask ten students wearing football jersey each day for a week

Step-by-step explanation:

Answer:

it its the pizza one because people could be bias and that would not give a very acturate answer

Step-by-step explanation:

.666 repeating as a fraction
please use equation

Answers

Answer:

2/3

Step-by-step explanation:

6/9 divide three on the numerator and denominator

It will give you 2/3

to check if its right

divide 2 with 3 and you will  0.666 repeating.

Adriana earned a gross income of $46,250 last year. She made $569.10 in IRA contributions, donated $841 to her favorite charity and paid $1,399.03 in home mortgage interest. If Adriana claims a standard deduction of $5,700 and her exemption is $3,650, what is her taxable income?
a.) $34,090.87
b.) $36,330.90
c.) $39,790.87
d.) $34,931.87

Answers

Answer:

B

Step-by-step explanation:

Round the following numbers to 2 decimal places 3526.48502 12.6433 0.2099

Answers

Step-by-step explanation:

3526.49 12.64 0.21

I hope this helps

Answer:

3526.49

12.64

.21

Step-by-step explanation:

1. On the left of the decimal place, take the third number and if it is = to or higher than 5, round the second number up by 1.

3526.485 becomes 3526.49

2. If it is lower than 5, then just leave the second number alone.

12.6433 becomes 12.64

3. If it is a decimal place number, just take the third number and if it is higher than 5, increase the second number.

.2099 becomes .21

-x-2y-4z=-6
X-5y-2z=-2
2x-3y+2z=2

Answers

Answer:

[tex]\sqrt{2} or (1/2)[/tex]

Step-by-step explanation:

A vendor at a baseball game sells boxes of popcorn and bags of pretzels.
• A customer buys 2 boxes of popcorn and 1 bag of pretzels for $6.75.
• Another customer buys 1 box of popcorn and 2 bags of pretzels for $6.00.
Each bag of pretzels costs $

Answers

Answer:

Each bag of pretzels costs $1.75

Step-by-step explanation:

Let the cost of 1 box of popcorn be $x

Let the cost of 1 bag of pretzel be $y

_______________________________________

A customer buys 2 boxes of popcorn and 1 bag of pretzels for $6.75.

cost of 2 box of popcorn =2*$x = $2x

sum of cost 2 boxes of popcorn and 1 bag of pretzels in terms of x and y

2x + y = 6.75    equation A

__________________________________

Another customer buys 1 box of popcorn and 2 bags of pretzels for $6.00

cost of 2 box of pretzel =2*$y = $2y

sum of cost of 1 box of popcorn and 2 bags of pretzels in terms of x and y

x + 2y = 6 equation B

x = 6 - 2y

substituting this value of x in equation A

2(6 - 2y) + y = 6.75  

=> 12 - 4y + y = 6.75

=> -3y = 6.75 - 12 = -5.25

=> y = -5.25/-3 = 1.75

Thus,  Each bag of pretzels costs $1.75

a bin contains 26 markers four students each choose the same number of markers if they choose as many markers as possible how many markers are left in the bin

Answers

26 divided by 4 is 6 with a remainder of two

Jordan borrowed some money from his friend in order to help buy a new video game
system and agreed to pay the friend back a constant amount each week. Jordan
originally borrowed $120 from his friend and after 2 weeks, he still owed his friend
$90. Write an equation for L, in terms of t, representing the amount Jordan owes
his friend after t weeks.

Answers

Answer:

l=-15t+120

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The equation represents representing the amount L owed after t weeks.

L = 120 - 15t

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Total amount borrowed = $120

Amount left to pay after 2 weeks = $90

This means,

In 2 weeks the amount paid.

= 120 = 90

= $30

The amount paid per week is constant.

2 week = $30

Divide both sides by 2.

1 week = $15

Now,

The equation represents representing the amount L owed after t weeks.

L = 120 - 15t

Thus,

The equation represents representing the amount L owed after t weeks.

L = 120 - 15t

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

What is the equation of the line that passes through (-3, -1) and has a slope of 3/5 ? Put your answer in slope-intercept form. A.y= 3/5x+4/5 B.y= 3/5x-4/5 C.y=-3/5x-4/5

Answers

Slope-intercept form: y = mx + b

m = the slope

b = y-intercept.

In this problem,

m = 3/5

b = ?

So far y = 3/5x + b

Let's plug the point (-3, -1) into our slope equation.

-1 = 3/5(-3) + b

Simplify the right side.

-1 = -9/5 + b

Add 9/5 to both sides.

4/5 = b

The equation is: y = 3/5x + 4/5

Answer choice A is correct.

Find all roots.
11) x^3 + 6x² + 5x = 0

Answers

Answer:

x=0

x=-1

x=-5

Step-by-step explanation:

To find the roots, we set the equation equal to zero and factor.

x(x²+6x+5)=0           [factor]

x(x+1)(x+5)=0            [set each factor equal to 0]

x=0

x+1=0                       [subtract both sides by 1]

x=-1

x+5=0                      [subtract both sides by 5]

x=-5

Now, we have found three roots, x=0, x=-1, x=-5.

What ratios are equivalent to 7:3|. 12:9, 14:6, 11:7, 4:2,| PLZ HELP

Answers

Answer:

14:6 is the same as 7:3

Step-by-step explanation:

both variables seven and three are multiplied by the same number (2) just like with division if you do the same thing to both sides it's still equal

Answer:

14:6

Step-by-step explanation:

When 2 is divided by the two numbers, 14 and 6, it will be 7:3.

P + 4 Solve for p
--------- = 5
6

Answers

Answer:

p = 26

Step-by-step explanation:

(p+4)/6 = 5

Multiply each side by 6

(p+4)/6 *6 = 5*6

p+4 = 30

Subtract 4 from each side

p+4-4 = 30-4

p = 26

Ronald is trying to reconstruct his spending pattern from May. He knows that he had $315 in his account on May 1, but after that, his receipts and balance statements are all scrambled. Here are Ronald’s records: Date Transaction Type Amount ($) 5/25 Purchase 66 5/18 Purchase 90 5/30 Purchase 188 5/24 Deposit 151 5/22 Purchase 152 5/8 Deposit 104 5/3 Purchase 175 5/6 Purchase 82 Assuming that this is a complete, if scrambled, record of Ronald’s May spending and that any overdraft fees incurred do not affect the running total, how many times did Ronald overdraw his account in May? a. Ronald never overdrew his account. b. Ronald only overdrew his account once. c. Ronald overdrew his account twice. d. Ronald overdrew his account more than twice. Please select the best answer from the choices provided A B C D

Answers

Answer: C. Ronaldo overviewed his account twice.

Step-by-step explanation:

Just took a test on edge.

Evaluate the indicated function for f(x) = x2 - 7 and g (x) = x+3

Answers

Answer:

-1 but your question doesn't make sense

Step-by-step explanation:

I need help on this mathematical equation B is the Midpoint of AC.

Answers

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

B is the midpoint of AC so AB = BC.

AB + BC = AC

AB + AB = AC

2(AB) = AC

[tex]2\left(3\left(3x-1\right)\right)=5\left(2x+2\right)[/tex]

Expand:

[tex]2\times3\left(3x-1\right)=5(2x+2)[/tex]

[tex]6\left(3x-1\right)=5(2x+2)[/tex]

[tex]6\times3x-6\times1=5\times2x+5\times2[/tex]

[tex]18x-6=10x+10[/tex]

Add 6 to both sides:

[tex]18x-6+6=10x+10+6[/tex]

[tex]18x=10x+16[/tex]

Subtract 10x from both sides:

[tex]18x-10x=10x+16-10x[/tex]

[tex]8x=16[/tex]

Divide both sides by 8:

[tex]\frac{8x}{8}=\frac{16}{8}[/tex]

[tex]x=2[/tex]

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

First, we know that the entire segment adds up to 5(2x+2). In other words:

[tex]AB+BC=5(2x+2)[/tex]

Now, since B is the midpoint of AC, by the definition of midpoint, AB and BC are equivalent. So:

[tex]AB=BC[/tex]

Since we know that, let's substitute BC for AB in the first equation:

[tex]AB+BC=5(2x+2)\\[/tex]

This is equivalent to:

[tex]AB+AB=5(2x+2)[/tex]

Combine like terms:

[tex]2AB=5(2x+2)[/tex]

And since we know that AB is 3(3x-1), substitute:

[tex]2(3(3x-1))=5(2x+2)[/tex]

Now, solve for x.

Distribute the left side:

[tex]6(3x-1)=5(2x+2)[/tex]

Distribute both sides:

[tex]18x-6=10x+10[/tex]

Add 6 to both sides:

[tex]18x=10x+16[/tex]

Subtract 10x from both sides:

[tex]8x=16[/tex]

Divide both sides by 8:

[tex]x=2[/tex]

So, the value of x is 2.

And we're done!

Notes:

You didn't particularly state what you need to find. If you want to length of AB or BC, it would be:

[tex]AB=BC=3(3(2)-1)=15[/tex]

And the entire length AC is:

[tex]AC=2(15)=30[/tex]

Solve the literal equation cy−7=5d+3y for y.

y=

Answers

Answer: y = 5d + 7 / c - 3

Step-by-step explanation:

Step 1: Add -3y to both sides

cy - 7 + -3y = 5d + 3y + -3y

= cy - 3y - 7 = 5d

Step 2: Now, add 7 on both sides

cy - 3y - 7 +7 = 5d +7

= cy - 3y = 5d +7

Step 3: Factor out y

y(c - 3) = 5d + 7

Step 4: Divide both sides by c-3

y(c - 3) / c - 3 = 5d+7 / c-3

Your answer for this should be

y = 5d + 7 / c - 3

Hope this helped!

how long is 46.287 minutes

Answers

Answer:

0.77145 hours it is also 2777.22 seconds

Step-by-step explanation:

4 to the second power is the same as 4 squared. True or false ?

Answers

Answer:

False.

Step-by-step explanation:

whats the final answer?

Answers

Step-by-step explanation:

Tanø=opp/adj

Tan30=x/7. (× b.s 7)

x=7Tan30

x= 4.04

I need help on this question

Answers

Answer:

x=32

Step-by-step explanation:

Answer:

x= 32

Step-by-step explanation:

Remember all triangles sum up to 180 degrees.

Equation= 98+50+x=180

Step 1- Add to simplify

148+x= 180

Step 2- Subtract 148 to both sides.

148+x= 180

-148       148

x= 32

If m<2=98, m<3=23, and m<8=70 find the measure of each missing angle

Answers

Answer/Step-by-step explanation:

Given:

m<2 = 98,

m<3 = 23,

m<8 = 70

m<1 + m<2 = 180° (linear pair)

m<1 + 98 = 180 (substitution)

m<1 = 180 - 98 (subtracting 98 from each side of the equation)

m<1 = 82°

m<2 + m<3 + m<7 = 180° (sum of angles in a triangle)

121 + m<7 = 180 (substitution)

m<7 = 180 - 121 (subtracting 121 from each side)

m<7 = 59°

m<4 = m<7 (alternate angles are congruent)

Therefore,

m<4 = 59°

m<5 + m<4 + m<3 = 180° (angles on a straight line)

m<5 + 59 + 23 = 180 (substitution)

m<5 + 82 = 180

m<5 = 180 - 82 (subtracting 82 from each side)

m<5 = 98°

m<6 + m<7 + m<8 = 180° (angles on a straight line)

m<6 + 59 + 70 = 180 (subtitution)

m<6 + 129 = 180

m<6 = 180 - 129 (subtracting 129 from each side)

m<6 = 51°

m<9 + m<8 + m<4 = 180° (sum of triangle)

m<9 + 70 + 59 = 180 (substitution)

m<9 + 129 = 180

m<9 = 180 - 129

m<9 = 51°

m<10 + m<9 = 180° (linear pair)

m<10 + 51 = 180° (substitution)

m<10 = 180 - 51

m<10 = 129°

∠A and \angle B∠B are complementary angles. If m\angle A=(x-21)^{\circ}∠A=(x−21) ∘ and m\angle B=(2x-15)^{\circ}∠B=(2x−15) ∘ , then find the measure of \angle A∠A.

Answers

Answer:

A = 21 degrees

Step-by-step explanation:

Here in this question, we are told to calculate the value of angle A.

When two angles are tagged complementary, what this means is that the addition of both angles gives a total of 90 degrees.

Hence;

A + B = 90

This means that;

(x-21) + (2x -15) = 90

x + 2x -21-15 = 90

3x -36 = 90

3x = 90+ 36

3x = 126

x = 126/3

x = 42

But we are told to calculate the measure of A

A = x -21

A = 42-21

A = 21 degrees

Answer:

21

Step-by-step explanation:

the length of a rectangle is 3 inches m ore that its width. if the perimeter is 42 inches, what are the dimensions of the rectangle

Answers

Answer:

width is 9 length is 12 :)

Step-by-step explanation:

I'm doing this stuff rn

Please Help Me Which letter represents Chinese dynasties? Which letter represents the birthplace of Hinduism? Which letter represents the beginning of the Hebrew culture?

Answers

I think it b but I’m not sure

Step-by-step explanation:

chinese dynasties=C

Hinduism birthplace=B

Hebrew culture=A

a flag pole that is 10 m talk casts a shadow that is 6 m long. what is the distance from the top of the pole to the end of the shadow

Answers

Answer:

11.66 meters

Step-by-step explanation:

First draw a diagram. See attachment.

We notice that if we draw everything out, we get a right triangle.

The flag pole and its shadow are the two legs, with lengths 10 and 6 meters. We want to find the distance from the top of the pole to the end of the shadow, so we need to use the Pythagorean Theorem, which states that for a right triangle with legs a and b and hypotenuse c:

a² + b² = c²

Here, a = 10 and b = 6, and we want to find c:

a² + b² = c²

10² + 6² = c²

100 + 36 = c²

136 = c²

c = √136 = 2√34 ≈ 11.66 meters

~ an aesthetics lover

Answer:

11.7

Step-by-step explanation:


Which two binomials in part A didn't have an equivalent factored form? What made these expressions different from the
three that you could factor?
The two that didn’t have equivalent factored forms were x^2+16 and 16x^2+9

Answers

Answer:

The binomials 16x2 + 9 and x2 + 16 didn’t have an equivalent factored form. Both are sums of perfect squares instead of differences.

Step-by-step explanation:

Official answer

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