10m^2n+30mn^2+5mn

factor the polynomial

Answers

Answer 1
5mn(2m+6n + 1)

[tex] \: [/tex]

Explanation :

So, here we are to factor the polynomial :

[tex]\\ \longrightarrow \sf \qquad10m^2n+30mn^2+5mn\\ \\[/tex]

[tex] \longrightarrow \sf \qquad5mn(2m+6n + 1)\\ \\[/tex]

Some points to know :

Factorisation is the reverse process of multiplucation.

The Factorisation is the process of finding two or more expressions such that their product is the given expression
Answer 2

Answer:

[tex]\boxed{5\left(6mn^{2}+mn+2\left(m^{n}\right)^{2}\right)}[/tex]

Step-by-step explanation:

[tex]10m ^ { 2n } +30mn ^ { 2 } +5mn[/tex]

Factor out the common factor: 5

[tex]=5\left(2m^{2n}+6mn^{2}+mn\right) [/tex]

[tex]=5\left(6mn^{2}+mn+2\left(m^{n}\right)^{2}\right)[/tex]

=》This expression cannot be further simplified.

___________

Hope it helps ⚜


Related Questions

50 POINTS

What is the value represented by the letter E on the box plot of the data?

45, 45, 50, 55, 60, 65, 72, 75, 80, 80, 90

Answers

Answer:

90

Step-by-step explanation:

In a box plot, the point farthest to the line is the greatest or maximum number of the problem(in this case E). You look for the greatest number out of them all and that would be your answer(90).

Can i pretty please with a cherry on top get brainliest??

:>

90 because E is the maximum value

Sasha makes a wooden base for a sculpture with the dimensions shown. The sculpture is too heavy for the base, so she needs to add a brace from point C to point E to make the base stronger.


How long does the brace need to be? Round your answer to the nearest tenth.
with explanation


A. 5.4

B. 2.6

C. 3.4

D.5.1

Answers

Answer:

A. 5.4

Step-by-step explanation:

I think... I haven't done this sort of question in a while

can you help me please.

Answers

Answer:

Step-by-step explanation:

-x + 2y = 16

y = mx + 8

Start with the top equation. Add x to both sides.

-x + 2y + x = x + 16                     Combine the left

2y = x + 16                                  Divide by 2

2y/2 = (1/2)x + 1/2(16)

y = 1/2 x + 8

If m = 1/2, both equations together will give an infinite number of solutions.

giving 50 points it's grade 9 algebra 1 help please

Answers

Answer:

(a)  y = 34.27 + 7.79x

(b)  r = 0.98 (nearest hundredth)

(c)  strong, positive correlation - as the students spends more time studying, their test scores increase.

Step-by-step explanation:

Correlation measures how closely two variables are linked.

If two variables are correlated, you can draw a line of best fit on the scatter plot.

Explanatory (independent) variable is drawn on the x-axisResponse (dependent) variable is drawn on the y-axis.

Linear regression is a method for finding the equation of a line of best fit on a scatter plot.

The regression line of y on x is:  y = a + bx

where a = y-intercept  and  b = gradient

If b is positive, the variables are positively correlated.

If b is negative, the variables are negatively correlated.

Part (a)

Inputting the data from the table into a calculator and using the statistical function:

a = 34.27272727

b = 7.792207792

Therefore, the linear equation is:

y = 34.27 + 7.79x

Part (b)

The correlation coefficient is the Product Moment Correlation Coefficient (r) and measures the strength of the linear correlation between two variables.

Again, inputting the data from the table into a calculator and using the statistical function:

r = 0.9815741571

⇒ r = 0.98 (nearest hundredth)

Part (c)

The r value is always between +1 and -1.  The closer it is to +1 or -1, the stronger the correlation between the two variables.

Values close to +1 mean a strong, positive correlation.Values close to -1 mean a strong, negative correlation.Values close to zero mean a weak correlation.

Therefore, as r is very close to +1, the correlation coefficient suggests a strong, positive correlation.  In the context of the problem, this suggests that as the students spends more time studying, their test scores increase.

Allen is showing his work in simplifying –8.3 + 9.2 – 4.4 + 3.7. Identify and explain any errors in his work or in his reasoning. Write feedback to Allen explaining the mistake he made and how to correct his work.


Step Work Reasoning
−8.3 + 9.2 − 4.4 + 3.7 Original problem
1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse
2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property
3 −8.3 + (4.4 + 9.2 + 3.7) Associative property
4 −8.3 + 17.3 Simplify
5 9 Simplify

Answers

Answer:

0.2

Step-by-step explanation:

Identify the area of the polygon with vertices & C(3,3) A(8,-2). S(3,-4), and H(0, -2)
A = 31.5 units^2
A = 28 units^2
A = 25 units^2
A = 35.5 units^2
help me solve this w/work!! tyyyy​

Answers

The vertices of the polygon form a trapezoid, and the area of the polygon is 28 unit squares

How to determine the area of the polygon?

The vertices are given as:

C = (3,3)

A = (8,-2)

S = (3,-4)

H = (0, -2)

The area of the polygon is calculated using:

[tex]A = \frac 12 \sum\limits^{n-1}_{k = 0}(x_ky_{k+1} - y_kx_{k+1})[/tex]

So, we have:

A = 1/2 * |(3 * -2 - 8 * 3 + 8 * -4 - 3 * -2 + 3 * -2  - 0 * -4 + 0 * 3 -3 * -2)|

Evaluate

A = 1/2 * |-56|

Remove the absolute bracket

A = 1/2 * 56

Evaluate the product

A= 28

Hence, the area of the polygon is 28 unit square

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Quadrilateral ABCD has vertices at A(-4,5) B(-1,9) C(7,3) and D(4,-1). What is the most precise name for a quadrilateral ABCD?

Answers

Answer:

Rectangle

Step-by-step explanation:

The answer you put was a rhombus , which is wrong . if you put the coordinates in you would see that its a rectangle slightly tilted instead of  rhombus , a rectangle has more of a wider side than a rhombus does . please change your answer!

If the hypotenuse of a right triangle has length 9 feet and one of the other sides has length 2 feet, what is the length of the remaining side, in feet?
[tex]\sf A) \sqrt{11}[/tex]
[tex] \sf B) \sqrt{7}[/tex]
[tex]\sf C) \sqrt{85}[/tex]
[tex]\sf D) \sqrt{77}[/tex]
[tex]\sf E) 7[/tex]

Answers

Hypotenuse=H=9ftBase=B=2ft

Apply Pythagorean theorem

P²=H²-B²P²=9²-2²P²=81-4P²=77P=√77

Option D

Answer:

[tex]\sf D) \sqrt{77} \: ft [/tex]

Step-by-step explanation:

Given that,

→ Perpendicular (x) = ?

→ Hypotenuse (h) = 9 feet

→ Base (b) = 2 feet

Now by using the Phythagoras theorem,

→ (Hypotenuse)² = (Perpendicular)² + (Base)²

→ (h)² = (x)² + (b)²

→ (9)² = (x)² + (2)²

→ 81 = (x)² + 4

→ (x)² = 81 - 4

→ (x)² = 77

→ [ x = √(77) ]

Thus, length of remaining side is √(77) ft.

The Egyptian pyramids have square bases and are roughly twice as wide as they are tall. If a miniature model of the pyramid is 3 inches wide, what is the volume of the model

Answers

If a miniature model of the pyramid is 3 inches wide. The volume of the model is 4.5.

Volume of the model

Pyramids square bases  are twice as wide as they are tall

Model of pyramid=3 inches wide

First step is to find the model height

Let Model height=x

2 × height=weight

2x=3

x=3/2

x=1.5

Second step is to calculate the volume of model:

Volume of model=3×3×1.5×1/3

Volume of model=4.5

Therefore the volume of the model is 4.5.

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Draw the circle with equation x² + y² = 16

Answers

Answer:

Below.

Step-by-step explanation:

The center of the circle is at the origin and its radius is √16 = 4.

So set a compass to 4 and draw a circle with the compass point at the origin.

Please help :( Algebra 2 Question


A child arranges toy action figures into rows. The first row has three action figures and each row after the first has six more figures than the row before it. Write a rule for the number of action figures in the nth row. If there are nine , how many action figures are there?

Answers

Answer:

number of action figures = 3 + 6(n-1)

at n = 9: number of action figures = 51

Step-by-step explanation:

first row: 3

second row: 6 more than the row before it (3) = 6 + 3 = 9

third row: 6 + 9 = 15

arithmetic series: [tex]a_n = a_1 + (n-1)d[/tex], where

[tex]a_n[/tex] is the nth term in the output

[tex]a_1[/tex] is the first output

n is the input

d is the difference between terms

here, we are given the row, and we want to figure out the number of action figures. thus, row = input and number of action figures = output.

the first output, in the first row, is 3

the difference between the number of action figures in each row is 6

thus, our formula is

[tex]a_n = 3 + (n-1)6 = 3 + 6(n-1)[/tex]

when the row is 9, the number of action figures is equal to

3 + 6(9-1) = 3 + 6 * 8 = 51

What is the range of the function shown in the graph

Answers

Answer:

( -3 , ∞)

Step-by-step explanation:

Please show the work thank you!

Answers

Answer:

a= 1/4 , h=8 , k = -12

Step-by-step explanation:

There is really not much to say.

[tex]y=\frac{1}{x}[/tex] , [tex]y=\frac{1}{4x-32}-12[/tex]

Factor the denominator by 1/4.

[tex]y=\frac{1}{4(x-8)}-12[/tex]

You got your formula: [tex]y=\frac{a}{x-h}+k[/tex]⇒[tex]y=a\frac{1}{x-h}+k[/tex]
a= 1/4 means to shrink due to it being fraction.

h=8 means 8 right

k = -12 means 12 down.

A circle has a diameter of 7
inches. What is the area of
the circle in terms of pi?

Answers

Circle:

A Circle is a closed plane geometric shape figure. The diameter of a circle is the longest chord of a circle. The radius drawn perpendicular to the chord bisects the chord. A Circle is always lie at an equal distance from a center point. Circles having different radius are similar.

Area of Circle:

The area of a circle is pi times the radius squared. The unit of area of circle is square units.

[tex]\longrightarrow Area_{(circle)} = \pi r^2[/tex]

Here, r is the radius of the circle.

Elucidation:

We are asked to find the area of the circle in terms of pi if the diameter is 7 inches.

We know that, the diameter is twice the length of the radius of a circle. Therefore;

D = 2rr = D/2 = 7/2 = 3.5

Now the area of circle will be:

[tex]\implies Area_{(circle)} = \pi r^2[/tex]

[tex]\implies Area_{(circle)} = \pi (3.5)^2[/tex]

[tex]\implies Area_{(circle)} = 12.25 \pi[/tex]

Hence, the area of the given circle is 12.25π square inches.

Answer:

Area of circle = 12.25π square inches

Step-by-step explanation:

In the question we are given that diameter of circle is of 7 inches . And we have asked to find the area of the circle in term of pi ( π ) .

For finding area of circle we must have to know that what is the formula for finding area of circle. So :

[tex] \qquad \qquad \: \red{\underline{\red{ \boxed{ \frak{Area \: of \: Circle = \pi r {}^{2} }}}}}[/tex]

Where ,

π refers to 3.14 or 22/7

r refers to radius of circle

Solution : -

As in the question we are given length of diameter . So for finding area we need to find the radius of circle .

We know that diameter of circle is two times its radius or ,

[tex] \qquad \: \rm {Diameter = 2 × Radius }[/tex]

So for radius we are dividing both side with 2 :

[tex]\qquad \: \rm { \dfrac{Diameter}{2} = \dfrac{ \cancel{2} × Radius}{ \cancel{2}} }[/tex]

We get that ,

[tex] \qquad \: \rm {Radius = \dfrac{Diameter}{2} }[/tex]

Therefore , we can say that radius of circle is half of its diameter .

Now using this firstly we are finding radius of circle . So :

[tex] \longmapsto \quad \: \boxed{\rm{ Radius = \frac{7}{2} \: \: inches}}[/tex]

Therefore , radius of circle is 7/2 inches .

Now , we are moving towards our final solution .

So ,

[tex] \longrightarrow \quad \: Area_ { (Circle)} = \pi( \dfrac{7}{2} ) {}^{2} [/tex]

Calculating further :

[tex]\longrightarrow \quad \: Area_ { (Circle)} = \pi \times \dfrac{7}{2} \times \dfrac{7}{2} [/tex]

After multiplication of 7/2 with 7/2 we get :

[tex]\longrightarrow \quad \: Area_ { (Circle)} = \pi \times \dfrac{49}{4} [/tex]

On dividing 49 by 4 we get :

[tex]\longrightarrow \quad \: \blue{{\boxed{\frak{Area_ { (Circle)} = 12.25\pi \: inches {}^{2} }}}}[/tex]

Remember one thing , we haven't put value of π as 22/7 or 3.14 because in the question it is given that we have to find the area of circle in terms of pi .

Henceforth , in terms of pi ( π ) area of circle having diameter 7 inches is 12.25π inches² .

#Keep Learning

Jalen bought 4 pizzas. He also spent $8 on wings. He paid a total of $60. He can use the equation 4p + 8 = 56 to determine the price of each pizza. How much was each pizza?

Answers

Answer:

13 dollars a pizza because if you put 4x13 that is 52 then add the wings 8$ that is your answer 60....

Step-by-step explanation:

Hopefully It helped ya... (:

Answer:

p = 12

Step-by-step explanation:

Given:

Jalen bought 4 pizzas. He also spent $8 on wings. He paid a total of $60. He can use the equation 4p + 8 = 56 to determine the price of each pizza.

To Find:

How much was each pizza?

Solution:
Since it already given a equation thus we can just solve using the equation given:

4p + 8 = 56

Subtract 8 from both sides

4p + 8 = 56

      - 8     -8

-----------------------

4p = 48

Divide both sides by 4

4p/4 = 48/4

p = 12

Hence, each pizza cost $12.

Kavinsky

need help please :,)

Answers

Answer:

x>=324

Step-by-step explanation:

sqrt(x) > = 18      square both sides of the equation

x >= 324

Miss David's birthday is in April, and she is going to have a party. She is
looking to buy a bag of decorations. Each bag has two different types of
decorations: balloons and streamers. The first bag has 10 balloons and 4
streamers. The second bag has 12 balloons and 5 streamers. The last bag
has 8 balloons and 10 streamers. Bag 1 costs $82, bag 2 costs $100, and
bag 3 costs $120.

How much does each type of decoration cost?

How did you get your answer?

what equation did you use?

Answers

Answer:

120

Step-by-step explanation:u need to add it all and divide 4

help math highschool

Answers

Answer:

Your answer is d) 3, 7, 8.

Step-by-step explanation:

s and t are parallel and r is transversal.

4 and 3 are congruent as the vertical angle.

4 is 7 is alternative exterior angles.

4 and 8 are corresponding angles.

Look at
Which of the following is the best description for this type pair of angles?

Answers

Answer:

Complementary angles

Step-by-step explanation:

Complementary angles because the two angles is shared on a same line as each others.

TIME SENSITIVE I REALLY NEED HELP
Which function is continuous at x = 18?

Answers

Answer:

The answer is D.

Step-by-step explanation:

a) Plugging x = 18 gets numerator 0^2/18 = 0 that not continuous.

b) Plugging x = 18 the denomiator becomes a value/0 making it undefined.

c) Plugging x = 18 gets tan(2pi) = 0/1 which is 0

d) f(x) = 36 is should be a straight lines at y =36. I think. Best option is D.

Quadratic function h can be used to model the height in feet of a rocket from the ground
t seconds after it was launched. The graph of the function is shown.

Answers

Answer:

t = -b 2a = -120/(-32) = 3.75 The height of the rocket is a maximum 3.75 seconds after its launch. To find the height we only need to plug into the model: s(3.75) = -16(3.752) + 120(3.75) + 80 = 305 The maximum height of the rocket is 305 feet.

Step-by-step explanation:

The maximum value of graph of function is (3.75,225).

How to build the equation and find value of x-axis ?

We consider, the equation is y=a(x-0)(x-7.5)

Now, when x=6 and y = 144

144=6a(-1.5)

⇒a= - 144/9

⇒a= -16

Now,  y= -16(x-0)(x-7.5)

⇒ y= -16[tex]x^{2}[/tex]+120x

∴ x = -b/2a = -120/(-32) = 3.75

How to find y co-ordinate ?

When x=3.75, then the value of y is maximum.

∴ [tex]y_{max}[/tex] = [tex]-16(3.75)^{2}+120*3.75[/tex]

          = 225

Hence, the maximum value of y is 225.

So, the required co-ordinate is (3.75,225).

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PLEASE help me
this is a 45°-45°-90° triangle.
solve for a.

Answers

Answer:

a = 8

Step-by-step explanation:

45° - 45° - 90° triangle

1 - 1 - √2

8 - 8 - √8

A bag contains 5 marbles. There are 3 yellow marbles and 2 red marbles.
Suppose that Glen chooses a marble first and then Kris chooses one.
Answer the questions to show the probability that Kris will get a yellow marble if Glen chooses a yellow one first.

1. What is the probability that Glen will get a yellow marble? Show how you calculated this probability.
2. After Glen chooses a marble, how many are left in the bag?

3) If Glen chooses a yellow marble, how many yellow marbles are left?

4. If Glen chooses a yellow marble first, and does not put it back in the bag, what is the probability that Kris chooses a yellow marble?

Answers

1. Since there are 3 yellow marbles and 5 marbles in total then to find the probability we do 3/5 or 60%.

2. No matter what colour marble glen picks, he took 1 marble out of the bag so we’re left with 4 marbles.

3. We started with 3 yellow marbles, if he takes one yellow marble out of the bag then we are left with 2 yellow marbles in the bag.

4. Since there are now 4 marbles in the bag, 2 yellow marbles and 2 red marbles, the probability of choosing a yellow marble would be 2/4 or 50%.

Hope this helps

how do calculate probablility

Answers

Answer:

Let me get my notes real quick. Give me a few seconds. Ok, in order to dermine propability you first do:
1: Determine the event (Like picking out 2 red marbles from a bag.) with 1 outcome (In this case, getting the marbles.)

2: Find the total amount of outcomes, like 1 7 2 9 1 2 2 2, (Example: What is the propability of geeting a 2? 4/8/50%)

3: Divide the number of events (How many times you've done it.) by the number of possible outcomes.

That's all there is.

Emma has 23 teddy bears. Noah has 17 teddy bears. How many teddy bears do they have in all?.

Answers

Answer:

40

Step-by-step explanation:

23 + 17

= 40

Factor out the following:
-x^5+9x^3

Answers

Answer:

x^3(-x+3)(x+3)

Step-by-step explanation:

-x^5 + 9x^3

factor out x^3

x^3(-x^2+9)

9 and -x^2 are perfect squares so we can factor out a 3 and an x to get (-x+3)(x+3)

the fully factored form would be x^3(-x+3)(x+3)

Answer:

-x^3(x - 3)(x + 3).

Step-by-step explanation:

-x^5+9x^3

the greatest common factor = x^3 so we can write it as

x^3(-x^2 + 9)

= -x^3(x^2 - 9)

The expression in the parentheses is the difference of 2 squares so we have:

-x^3(x - 3)(x + 3)   Answer.

Michael's total sales last month
was $12,000. If he earned $480 in
commission, what was his
commission rate?

Answers

His commission rate would be 4%
480/12000=.04

what is 20% by 37 decreased

Answers

Answer:

37 decreased by 20% is 29.6.

Step-by-step explanation:

To do this, what we do is simply take 20% of 37 and subtract it from 37.

20% of 37. A trick to easily figure this out is multipling 37 by 20 and dividing by 100.

37*20 = 740

740 / 100 = 7.40

37 - 7.40 = 29.6

37 decreased by 20% is 29.6.

100*20/37 = 5.41 so as it is decreased 37-5.41=31.59

cylinder:
diameter = 6 mm
height = 18 mm

Answers

Answer:

508.9

Step-by-step explanation:

please help me

Mario flips a coin, then rolls a standard six-sided number cube. What is the probability that Mario gets tails and rolls a number greater than 4?

Enter a number in the box.

Answers

Answer:

1/6.

Step-by-step explanation:

Prob(Tail) = 1/2

Prob(gets number > 4 ,  that is a 5 or a 6) = 2/6 = 1/3.

So required probability = 1/2 * 1/3

= 1/6.

The individual probabilities are multiplied as the 2 events are independent.

The probability that Mario gets tails and rolls a number greater than 4 is,

⇒ 1 / 6

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

Mario flips a coin, then rolls a standard six-sided number cube.

Now, We get;

The probability to get tails is,

⇒ 1 / 2

And, The probability to get a number greater than 4 (5 and 6) is,

⇒ 2 / 6

⇒ 1 / 3

Thus, The probability that Mario gets tails and rolls a number greater than 4 is,

⇒ 1/2 × 1/3

⇒ 1 / 6

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Discuss your housing situation on campus, whether you are a resident or a non-resident. Whatdo you appreciate and despise about space? Complementary images will be a bonus.11. Discuss your interactions with the universitys administrative components (departmentadministrator, Programme coordinator, Hall administrators and the like). How will youdescribe the reception?12. Discuss this course in detail. Discuss the instructional method, assessment, and the instructor.What do you hope to gain from this course? What would you suggest as a way to improve anyaspect of this course?13. Compare this current course with other courses you are taking presently and discuss.14. If you had the opportunity to have an audience with the Vice-chancellor, what would youdiscuss with her? Which of these best summarizes the Monroe Doctrine? Two angles (angle C and angle D) are supplementary. The measure of angle C is 5x 6 and the measure of angle D is 7x + 14. Find the measure in degrees of each angle please please help me 50 pointsHey yall I really need help with these Life of Pi questions. 1. Which story is more believable: the story with the animals or the story without the animals? Explain your reasoning. Why did Mr. Okamoto report the story that he did?2. Explain the symbolism of the following:- Pi- Richard Parker- The Lifeboat3. In what way is the zoo a microcosm (a smaller, symbolic representation) of society as a whole?4. Create theme statements for the following ideas and explain how each is developed through the story:a. Survivalb. Crueltyc. Religious beliefsd. Innocence5. What is the most profound lesson that Pi learns during his journey? Why do you think this is the most profound? 7. Choose another career that you are interested in. This does not need to be a career in the finance industry. Use the Internet to find information about this career, and answer the questions below. (a) What is the name of the career you chose? (0.5 points) (b) Describe at least two tasks a person with this career might perform. (1-2 sentences. 1.0 points) (c) What level of education is this career likely to require? (0.5 points) (d) Why does this career interest you? (1-3 sentences. 2.0 points) Find the area using the given image. give an appropriate and logical answer to the following questions mchtest du mit mir ins kino gehen. nein, ich sehe nicht gern fern