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Factor 8m^6 - 64m^12p^15. Which of the following is one of the factors?
- (2m² - 4n4p5)
- (4m ^ 4 - 8m ^ 2 * n ^ 4 * p ^ 5 + 16n ^ 8 * p ^ 10)
- (2m ^ 2 + 4n ^ 4 * p ^ 5)

Answers

Answer 1

The factors are (2m -4n^4p^5) and (4m^2 + 8mn^4p^5 + 16n^8p^10)

How to solve

Given that the expression

8m^6 - 64n^12p^15

Now this can be written as

8m^6 - 64n^12p^15 = (2m)^3 - (4n^4p^5)^3

Now we know that the formula

a^3 - b^3 = (a-b)(a^2 +ab +b^2)

Hence use a=2m and b=4 n^4 p^5 then

Therefore, the factors are (2m -4n^4p^5) and (4m^2 + 8mn^4p^5 + 16n^8p^10)

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Related Questions


Erin jogged 2 miles on Monday, Wednesday, she jogged 3 miles, and on Friday, she jogged 2 miles.
How far did Erin jog altogether?

Answers

Answer:Number of miles Erin jogged altogether= 7 miles

Step-by-step explanation:

Number of miles jogged on Monday =2 miles

Number of miles jogged on Wednesday =3 miles

Number of miles jogged on Friday =2 miles

Number of miles jogged altogether= 2 miles+3 miles+2 miles=7 miles

Low Carb Diet Supplement, Inc., has two divisions. Division A has a profit of $230,000 on sales of $2,120,000. Division B is able to make only $34,700 on sales of $381,000.
Compute the profit margins (return on sales) for each division. (Input your answers as a percent rounded to 2 decimal places.)
Division A= ______%
Division B= ______%
___________________________________________________________________________________________________________________________________________________
Polly Esther Dress Shops Inc. can open a new store that will do an annual sales volume of $1,220,400. It will turn over its assets 2.7 times per year. The profit margin on sales will be 7 percent.
What would net income and return on assets (investment) be for the year? (Input your return on assets answer as a percent rounded to 2 decimal places.)
Net Income=
Return on Assets= __________ %

Answers

The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.

To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.

For Division A:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($230,000 / $2,120,000) * 100

Profit Margin ≈ 10.85%

For Division B:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($34,700 / $381,000) * 100

Profit Margin ≈ 9.11%

To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.

Net Income = Profit Margin * Sales

Net Income = 7% * $1,220,400

Net Income = $85,428

Return on Assets = Profit Margin * Asset Turnover

Return on Assets = 7% * 2.7

Return on Assets = 18.9%

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A bus makes 28 stop every 2 hours. How many stops does it make in 5 hours?

Answers

Answer:

70 stops

Step-by-step explanation:

To find the amount of stops it makes in an hour, do 28 stops ÷ 2 hours, which will give you 14 stops in one hour.

Then do 14 stops × 5 hours, which would give you 70 stops.

Here's the notation if you want to make it look pretty:

 \(5(\frac{28}{2} )=70\)

What is the equation of the line that passes through the point (-5,-3)and has a slope of -3/5 ?

Answers

Answer: y = -3/5x - 6

Step-by-step explanation:

There are a few equations that can be used for this, but the simplest one would be y = mx + b

We are given:

y = -3

m = -3/5 (slope)

x = -5

b = ?

Our equation is this, we are solving for b

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

==> -3 = -3/5 ( -5) + b ( multiply the brackets)

==> -3 = 3 + b ( subtract 3 to both sides)

==> -6 = b

Now we can make the desired equation in slope intercept form;

y = -3/5x - 6

Hope this helped! Have a great day :D

Factor the following using GCF and show work. 4x^5-28x

Answers

Answer:

4x(x^4-7)

Step-by-step explanation:

Calculate the bearing of U from T. U N 32° T

Answers

The bearing of U from T in the image is 32 degrees South by West of T

What is Bearing?

In mathematics, bearings refer to the direction of an object or location in relation to two points. It is determined by the angle between the line joining them and that of the north.

Measured typically in degrees, it follows a cardinal system where 0° or 360° signifies North; East stands for 90°, South denotes at 180° while West represents 270°.

Thus, it can be seen that the bearing of U from T in the image is 32 degrees South by West of T

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Calculate the bearing of U from T. U N 32 T

One angle of a triangle measures 10°. The other two angles are in a ratio of 4:13. What are the measures of those two angles?​

Answers

Answer:

Step-by-step explanation:

Let's call the two angles in the ratio of 4:13 "x" and "y".

We know that the sum of all three angles in a triangle is always 180 degrees.

So, we can set up an equation:

10 + x + y = 180

We also know that x and y are in a ratio of 4:13, which means we can write:

x = 4k

y = 13k

where "k" is a constant that we need to find.

Substituting these expressions for x and y into the equation, we get:

10 + 4k + 13k = 180

17k = 170

k = 10

Now we can find the values of x and y:

x = 4k = 4(10) = 40

y = 13k = 13(10) = 130

Therefore, the measures of the two angles in the ratio of 4:13 are 40 degrees and 130 degrees, respectively.

LESSON 18 SESSION 4
7 Tell whether each statement is True or False.
a. 80% of 90 is the same as of 90.
b. 45% of 60 is 27.
c. 20% of 90 is the same as
as
d. 25 is 35% of 80.
of 90.
of
True False
о
O
о
O
L

Answers

a. 80% of 90 is the same as of 90 - False

b. 45% of 60 is 27 - True

c. 20% of 90 is the same as as of 90- True

d. 25 is 35% of 80 -False

What are the statement  about?

a. 80% of 90 is not the same as 90. To find 80% of 90, we multiply 90 by 0.8, which gives us 72. Therefore, the statement is false.

b. To find 45% of 60, we multiply 60 by 0.45, which gives us 27. Therefore, the statement is true.

c. 20% of 90 is the same as of 90. To find 20% of 90, we multiply 90 by 0.2, which gives us 18. Therefore, the statement is true.

Lastly, for question d. 25 is not 35% of 80. To find 35% of 80, we multiply 80 by 0.35, which gives us 28. Therefore, the statement is false.

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A bag contains 70 balls the ratio of red to blue balls is 4:10 find how many red and blue balls there are

Answers

Answer:

Red balls - 20

Blue balls - 50

Step-by-step explanation:

4 + 10 = 14

4/14 × 70

= 20

10/14 × 70

= 50

Let's consider that we are playing Rock-Paper-Scissors against an adversary that plays Rock with probability 1/3, Paper with probability 1/3 and Scissors with probability 1/3. Show in detail 3 iterations of the WOLF algorithm (Bowling and Veloso (2001)). You can assume any reasonable outcome to simulate randomness. You must also define reasonable values for the parameters a, di, Ow and 7. Show in detail all the steps of the algorithm and your calculations. (10%)

Answers

Agent updates its estimate of the opponent's strategy:

Q(Rock) = (1 - 0.1) × 1/3 + 0.1 × 1/3 = 0.3

Q(Paper) = (1 - 0.1) × 1/3 + 0.1 × 1 = 0.4

Q(Scissors) = (1 - 0.1) × 1/3 + 0.1 ×1/

The WOLF algorithm is a reinforcement learning algorithm designed for

two-player zero-sum games, like Rock-Paper-Scissors. It maintains an

estimate of the opponent's strategy and uses it to make its own strategy

choices. The algorithm has four parameters: a, di, Ow, and 7, which

control how quickly the algorithm updates its estimates and how much it

explores.

Here are the steps of the WOLF algorithm:

Initialize the estimate of the opponent's strategy to a uniform distribution

over the possible actions.

Choose an action based on a combination of the current estimate of the

opponent's strategy and a parameter Ow, which controls how much the

agent should weight its estimate versus its own preference. Specifically,

the agent chooses an action a based on the following formula:

a = argmax_i {Ow × Q(i) + (1-Ow) × P(i)}

where Q(i) is the agent's estimate of the opponent's probability of

playing action i, P(i) is the agent's current estimate of the probability that

it should play action i, and argmax_i selects the action with the highest

value.

After the agent chooses an action a, the opponent plays an action o. The

agent updates its estimate of the opponent's strategy as follows:

Q(o) = (1 - di) ×Q(o) + di ×p(o)

where di is a decay parameter that controls how much weight to give to

new information versus old information, and p(o) is the actual probability

that the opponent played action o.

The agent updates its estimate of its own strategy based on whether it

won, lost, or tied the previous round. Specifically, the agent updates the

probability of playing action a as follows:

P(a) = (1 - 7) × P(a) + 7 × R(a, o)

where 7 is a learning rate parameter that controls how much to update

the probability, and R(a, o) is the reward the agent received for playing

action a against the opponent's action o. In Rock-Paper-Scissors, the

reward is +1 for a win, -1 for a loss, and 0 for a tie.

Now let's simulate three iterations of the WOLF algorithm for playing

Rock-Paper-Scissors against an adversary that plays each action with

probability 1/3.

Assume the initial estimates of the opponent's strategy and the agent's

strategy are both uniform distributions over the actions.

Let's set the parameters as follows:

a = 0.1 (a small value to encourage exploration)

di = 0.1 (giving some weight to old information)

Ow = 0.5 (giving equal weight to the agent's own preference and the

opponent's estimate)

7 = 0.1 (a small learning rate)

Iteration 1:

Agent chooses action Rock based on its estimate and preference: a =

argmax_i {0.5 × 1/3 + 0.5 × 1/3, 0.5 × 1/3, 0.5 × 1/3} = Rock

Opponent plays action Paper.

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Part a.) If you apply the distributive property first to solve the equation, what operation will you need to do last? Part b.) If instead you divide first to solve the equation, what operation would you need to use last?

Answers

The equation is solved and the distributive property is used

Given data ,

a)

If you use the distributive property to solve the equation first, either addition or subtraction will need to be done last, depending on the equation. This is so that you may isolate the variable on one side of the equation or combine like terms after applying the distributive principle, which usually requires addition or subtraction as the last step.

b)

Instead, if you divide first to answer the problem, you would need to apply multiplication as the last operation. This is because, in order to "undo" the division operation and find the variable, you would need to multiply by the reciprocal of the value by which you had divided to isolate the variable. As the inverse operation of division, multiplication would be utilized as the last step in the equation's solution.

Hence , the equations are solved

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Solve for x
Put your answer in the box

Solve for x Put your answer in the box

Answers

Answer:

x = 10

Step-by-step explanation:

Cross multiply

15/18 = 25/7x-40

multiply 15 by 7x-40

105x - 600

18 times 25

450

105x - 600 = 450

+ 600 on both sides to get rid of it

1050 / 105

10

Help please
Determine the sum of the measures of the interior angles of a dodecagon (12-sided polygon).

540°

360°

1,800°

2,160°

Answers

Answer:

Below

Step-by-step explanation:

Formula for sum of interior angles of a   n - gon

(n-2) * 180

for this 12 sided 'gon

  (12-2) * 180 = 1800°        

            ( and for a 'regular' dodecagon each would be 1800/12 = 150°

Answer:

Option C) 1,800°

Step-by-step explanation:

To Find : Interior Angles of a Decagon

In order to find interior angles of any polygon we usually use the formula

(n-2)x180

Over Here it is a 12 sided polygon

So,

(12-2)x180

10x180

1800

Hence the interior angles of a decagon is 1800°

which set of data is influenced by an extreme x and y values compared to other data points

Answers

The set of data is influenced by an extreme x and y values compared to other data points is an outlier.

What is an outlier?

It should be noted that an outlier simply means data points that diverge in big way from the overall pattern.

Outlier can have extreme x or y value when compared to other data points. Also, it can be distant from the rest of the data without the extreme xor y values.

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Answer:a on usa test prep.like it

Step-by-step explanation:

8thgrade 9^2 plus 3^2

Answers

Answer:

90

Step-by-step explanation:

9^2 = 81 and 3^2 = 9

81 + 9 = 90

Answer:

90

Step-by-step explanation:

9² + 3²

= (9 x 9) + (3 x 3)

= 81 + 9

= 90

1. The function represents the amount of a medicine, in mg, in a person's body hours after taking the medicine. Here is a graph of . ( the picture that i sent in ) a. How many mg of the medicine did the person take at the start?B. Complete the table c. Write an equation that defines .d. After 7 hours, how many mg of medicine remain in the person's

1. The function represents the amount of a medicine, in mg, in a person's body hours after taking the
1. The function represents the amount of a medicine, in mg, in a person's body hours after taking the

Answers

Answer:

• (a)80 mg

,

• (c)f(t)=80(0.5)^t

,

• (d)0.625 mg

Explanation:

Part A

From the point (0, 80), we see that the person took 80 mg of the medicine at the start.

Part B

From the graph:

From points (0,80) and (2,20); and (2,20) and (4,5)

• After 2 hours, the amount of medicine has been reduced by a factor of 1/4.

Therefore, after 1 hour, the amount of medicine is reduced by a factor of 1/2.

The completed table is attached below:

Part C

An exponential function is written in the form:

\(f(x)=A_o(r)^t\text{ where }\begin{cases}A_o=\text{Starting Value} \\ r=\text{Rate of Decrease}\end{cases}\)

Since the amount of medicine is halved every 1 hour:

The rate of decrease = 1/2

The starting amount, Ao = 80 mg

Therefore, an equation that defines f is:

\(f(t)=80(\frac{1}{2})^t\)

Part D

After 7 hours, when t=7

\(\begin{gathered} f(t)=80(\frac{1}{2})^t \\ \implies f(7)=80(\frac{1}{2})^7=0.625\; mg \end{gathered}\)

After 7 hours, 0.625 mg of medicine remains in the person's body.

1. The function represents the amount of a medicine, in mg, in a person's body hours after taking the

Write an equation for the parabola in vertex form whose vertex is at (2, 3) and passes through (0, 2).

Answers

The equation of the parabola in discuss such that the parabola has a vertex at (2, 3) and passes through (0, 2) is; y = (-1/4) (x - 2)² + 3.

What is the equation of.the parabola in discuss whose vertex is at (2, 3) and passes through (0, 2)?

It follows from the task content that the equation of the parabola whose vertex is at (2, 3) and passes through (0, 2) is to be determined.

Since, the vertex form equation of a parabola is;

y = a (x-h)² + k

where the vertex is; (h, k) which is (2, 3) in this scenario.

Therefore, we have;

y = a (x - 2)² + 3

Ultimately, to find the value of a; substitute; x = 0 and y = 2 from the point (0,2) into the equation;

2 = a (0-2)² +3

-1 = 4a

a = -1/4.

Ultimately, the equation of the parabola as required in the task content is;

y = (-1/4) (x - 2)² + 3

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Nolan is following his family's macaroni and cheese recipe. The recipe calls for 6 cups of shredded
cheese and 4 tablespoons of milk. He wants to make a smaller batch, so he uses only 3 cups of
shredded cheese.
How much milk does Nolan need for this smaller batch?
tablespoons

Answers

Answer:2 tablespoons of milk

Step-by-step explanation:

If nolan divides 6 by 2 he gets 3 cups of shredded cheese and to get the same results he would have to divide the milk portion too. 4/2 is 2 so he would need 2 tablespoons of milk.

a design that has two conditions with different participants in each condition is a(n) design. a) independent groups b) repeated measures c) solomon four-group d) pretest-posttest

Answers

A design that has two conditions with different participants in each condition is independent groups design. Hence option a) independent groups design is correct.

The student question refers to a design where there are two conditions with different participants in each condition.

An independent groups design, also known as a between-subjects design, involves comparing two or more groups of participants who are not the same individuals.

In this type of design, each participant is exposed to only one level of the independent variable.

The groups are formed independently of each other, and any differences between them can be attributed to the manipulation of the independent variable.

An independent groups design: Identify the research question and the independent variable. Form two or more groups of participants, ensuring that they are independent of each other.

Manipulate the independent variable for each group, ensuring that each participant is exposed to only one level of the variable.

Option b is wrong because repeated measures design involves testing the same participants under different conditions or at different times.


Option c is wrong because solomon four-group design is a complex design involving four groups with two groups receiving a pretest, and two groups not receiving a pretest.


Option d is wrong because the pretest-posttest design involves assessing participants before and after a treatment or intervention.

The correct option is a) independent groups design.

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The water level in a tank rises by 2/3 foot every 1/5 hour.at what rate is the water level rising

Answers

Answer: 10/3 every hour

Step-by-step explanation:

The rate the water level is rising is 3 feet and 4 inches per hour.

Joe has 10 bills in his wallet. The total amount of money is $34, and he has only $1 and $5 bills. If Joe has two more $5 bills than $1 bills, find the number of each type of bill that he has in his wallet. Use a system of equations to find the answer.

Answers

Answer:Joe would have 40$

he will have 7 5 dollar bills and 5 1 dollar bills

Soto contracts to buy an oven from Restaurant Appliances Inc. for $5,000, but the seller fails to deliver. Soto buys a similar oven from another dealer for $6,500. Sotoâs measure of damages is
a.
$6,500.
b.
$1,500.
c.
$5,000.
d.
$1,500, plus any additional expense to obtain the oven.

Answers

The correct answer is option d. Soto buys a similar oven from another dealer for $6,500. Soto measure of damages is $1,500, plus any additional expense to obtain the oven.

The purpose of a contracts' damages clause is to place the non-breaching party in the same situation that he or she would have been in if the agreement had been upheld.

In this instance, Soto had originally agreed to pay $5,000 to Restaurant Appliances Inc. for the purchase of an oven, but the seller did not fulfil the agreement. Soto was then compelled to pay $6,500 to another dealer for a comparable oven.

The difference between the $5,000 initial contract price and the $6,500 cost of the oven that Soto bought from the other dealer is one of the damages that Soto may claim from Restaurant Appliances Inc. This results in a $1,500 difference.

Soto is also entitled to reimbursement for any additional costs he may have expended in order to get the oven, such as shipping or installation charges. Soto's estimate of damages is therefore $1,500 plus any further costs incurred in obtaining the oven.

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find a unit vector in the direction of u and in the direction opposite that of u. u = (4, −3) (a) in the direction of u (8,−6) (b) in the direction opposite that of u

Answers

(a) Unit vector in the direction of u: (4/5, -3/5)

(b) Unit vector in the direction opposite that of u: (-4/5, 3/5)

To find a unit vector in the direction of vector u, we need to divide vector u by its magnitude.

Magnitude of u:

|u| = √(4² + (-3)²

= √16 + 9

=√(25)

= 5

(a) Unit vector in the direction of u:

u_unit = u / |u|

= (4/5, -3/5)

To find a unit vector in the direction opposite that of vector u, we simply negate the components of the unit vector in the direction of u.

(b) Unit vector in the direction opposite that of u:

u_opposite = -u_unit

= (-4/5, 3/5)

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in the year 1997, d. takahasi and y. kanada calculated pi to 51,539,600,00 decimal places. what type of computer did they use

Answers

The computer they used was HITACHI SR2201.

In the year 1997,Yasumasa Kanada and Daisuke Takahashi from the University of Tokyo calculated pi to 51,539,600,00 decimal places using a computer.

The type of computer that D. Takahasi and Y. Kanada used to calculate pi to 51,539,600,00 decimal places in the year 1997 was a supercomputer.

The term supercomputer refers to a high-performance computing (HPC) system that is used to solve complex computational problems that require significant computational power, memory, and storage capacity.

They are used in various fields, including scientific research, engineering, and healthcare, to accelerate data processing and analysis.

Pi is the ratio of the circumference of a circle to its diameter. The value of pi is approximately -

3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058223172535940812848111745028410270193...

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A and B are corresponding angles the measure of A is 110 Find B

Answers

Answer:

i think 70

Step-by-step explanation:

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A truck can be rented from Company A for $110 a day plus $0.20 per mile. Company B charges $70 a day plus $0.40 per mile to rent the same truck. Find the
number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

The number of miles in a day at which the rental costs for Company A and Company B are the same will be 200 miles.

We are given that:

For Company A:

Fixed cost = $ 110

Variable cost = $ 0.20 per mile

For Company B:

Fixed cost = $ 70

Variables cost = $ 0.40 per mile

Let the number of miles in a day be x.

So, the equation for rental cost for company A will be:

Rental cost = 110 + 0.20 x

The equation for rental cost for company B will be:

rental cost = 70 + 0.40 x

Now, put both rental cost equal.

110 + 0.20 x = 70 + 0.40 x

0.40 x - 0.20 x = 110 - 70

0.20 x = 40

x = 40 / 0.20

x = 200 miles.

Therefore, the number of miles in a day at which the rental costs for Company A and Company B are the same will be 200 miles.

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I need help pleaseeeeee

I need help pleaseeeeee

Answers

24/36
There are 36 students from 14-17 in total. 24 skip breakfast so. 24/36

if w2+15=40 what would w be ?

Answers

\(\fbox{w=5 or w=-5}\)

Subtract 15 from both sides:

\(w^2+15-15=40-15\)

\(w^2=25\)

Take square root:

\(w=\) ± \(\sqrt{25}\)

\(w=5\\or\\w=-5\)

What is the value of the negative zero of the function g(x)=3x^2 14x-5

Answers

The value of the negative zero of the function g(x) = 3x² + 14x - 5 is -5

What is a quadratic equation ?

Any equation of the form \(\rm ax^2+bx+c=0\)  Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

\(\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}\)

We have a function

g(x)=3x² + 14x - 5

a = 3, b = 14, and c = -5

Plug all the values in the formula:

\(\rm x = \dfrac{-14 \pm\sqrt{14^2-4(3)(-5)}}{2(3)}\)

After solving, we get:

x = -5  or x = 1/3

Thus, the value of the negative zero of the function g(x) = 3x² + 14x - 5 is -5

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in the figure above, the area of square ABCE=x^2 and DC=y. What is the area of triangle AED?

in the figure above, the area of square ABCE=x^2 and DC=y. What is the area of triangle AED?

Answers

Answer:

The area of triangle AED = (x^2-xy)/2

Step-by-step explanation:

Mathematically, the area of a square is the product of its side lengths

Thus, if the area is x^2; then the side of the square measures x

So each of the side of the square has a measure x units

Now, for the base of the square;

EC = ED + DC

x = ED + y

ED = x - y

Mathematically, the area of a triangle is the product of the base and the height of the triangle divided by 2

The height here is x and the base is (x-y)

We have this as;

Area of triangle AED =

1/2 * x * (x-y)

= (x(x-y))/2

= (x^2-xy)/2

Other Questions
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