Find the greatest common factor of the
following monomials:
39n3 48n2

Answers

Answer 1

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{Monomial means an algebraic expression that consists of using ONE term}[/tex]

[tex]\mathsf{39n^3: 1, 3, 13, 39, n, n, n}[/tex]

[tex]\mathsf{48n^2: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, n, n}[/tex]

[tex]\large\textsf{Like terms: 1, 2, 3, n, n}[/tex]

[tex]\boxed{\boxed{ \large\textsf{Answer: \bf The GCF (Greatest Common Factor): 3n}^2}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{aAmphitrite1040:)}[/tex]


Related Questions

ans thissss plsssssssassss

Answers

Answer:

21.16 m^2

Step-by-step explanation:

perimeter of square=4l

18.4/4=l

4.6=l

area of square=l^2

=4.6^2

=21.16 m^2

what type of function helps the data

Answers

exponential. it grows “exponentially” which basically means it gets a lot bigger faster

Collins middle school's basketball team won 75% of their games if they lost the board games how many games did they win?

Answers

The phrase in the original question is:

....if they lost 12 games......

not

....if they lost board games......

Answer:

36 games won

Step-by-step explanation:

Given

[tex]\%Win = 75\%[/tex]

[tex]Lost = 12\ games[/tex]

Required

Number of games won

Give that: [tex]\%Win = 75\%[/tex]

The percentage loss is:

[tex]\%Loss = 100\% - \%Win[/tex]

So, we have:

[tex]\%Loss = 100\% - 75\%[/tex]

[tex]\%Loss = 25\%[/tex]

Calculate the number of games (n) using:

[tex]Lost = \%Loss * n[/tex]

[tex]12 = 25\% * n[/tex]

Make n the subject

[tex]n = \frac{12}{25\%}[/tex]

[tex]n = 48[/tex]

So, the games won is:

[tex]Win = n - Lost[/tex]

[tex]Win = 48 - 12[/tex]

[tex]Win = 36[/tex]

Miguel and Jacqui built towers out of craft sticks.Miguel's tower had a 4-inch base.Jaquis tower had a 6-inch base.Miguels tower had a volume of 128 cubic inches and jaquis had a volume of 288.Who's tower was taller

Answers

Answer:

Height is same for both the towers

Step-by-step explanation:

The computation is as follows;

For 1st tower

The height is

= 128 ÷ 4^2

= 8 inches

And,  

For the 2nd tower

The height is

= 288 ÷ 6^2

= 8 inches

So as we can see that the height of the both the tower is same i.e. 8 inches so the same should be considered

Find the sum of the numbers. Express your answer in scientific notation.
(6.94 x 10-7)+(2.7x10-)
O 7.21x 10-
O 9.64 x 10-
O 7.21x10-2
O 9.64 x 10-7

Answers

Answer:

7.21 × 10⁻⁷

Step-by-step explanation:

(6.94 × 10⁻⁷) + (2.7 × 10⁻⁸) = 7.21 × 10⁻⁷

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3

Answers

Answer:

y-y1=m(x-x1)

y-2=1/3(x-3)

y=1/3x+1

Please help :( The picutre is right below worth 20 pionts and will mark brainliest :)
oh and the question is right in the picture too also with the rest

Answers

Answer:

perpendicular

Step-by-step explanation:

peripenducular looks like a plus sign. HOPE THIS HELPS!

Branliest...

In the applet above right triangle XYZ is drawn with a 23 degrees angle. for the right triangles with an angle of 23 degrees the ratio of the leg adjacent the 23 degrees angle compared to the hypotenuse is 0.92 if the leg adjacent to the 23 degrees angle has a length of 46 units, what is the length of the hypotenuse ?

Answers

Answer:

50 ( nearest whole number)

Step-by-step explanation:

Given from the question :

Ratio of Adjacent to hypotenus = 0.92

Length of Adjacent leg = 46 units

From trigonometry :

Ratio of adjacent to hypotenus is the cosine of the angle :

Hence,

Cos 23 = adjacent / hypotenus

Cos 23 = 46 / hypotenus

0.9205048 = 46/ hypotenus

Hypotenus = 46 / 0.9205048

Hypotenus = 49.97

which graph is a function of x?

Answers

Answer:the one to the left

Step-by-step explanation:

What is the slope given the two points?
(-3,12) & (4,5)

Answers

Answer:

-1

Step-by-step explanation:

(-3 , 12)  & (4, 5)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

          [tex]= \frac{5 - 12}{4-[-3]}\\\\= \frac{-7}{4+3}\\\\=\frac{-7}{7}\\\\= -1[/tex]

Answer: -1

Explanation:

Let, (-3,12) be (x1,y1) and (4,5) be (x2,y2)

We know that slope = (y2 - y1)/(x2 - x1)

So, slope of given two points = (5 - 12)/(4 - (-3))

= -7/(4+3)

= -7/7

= -1

Therefore, slope of given two points = -1

9. A sector of a circle has central angle
[tex] \frac{\pi }{4} [/tex]
and area
[tex] \frac{49\pi}{8} [/tex]

[tex] {cm}^{2} [/tex]
. Find the radius of the circle​

Answers

Answer:

Step-by-step explanation:

Begin with the formula for the area of a sector:

[tex]A=\frac{\theta}{2\pi}*\pi r^2[/tex] and we are given everything except the radius, r. Filling in what we know:

[tex]\frac{49\pi}{8}=\frac{\frac{\pi}{4} }{2\pi}*\pi r^2[/tex] and then start the simplification process. I began by dealing with the fraction over a fraction thing, which simplifies the equation to:

[tex]\frac{49\pi}{8}=\frac{1}{8}\pi r^2[/tex] then isolate the r-squared:

[tex]\frac{8(49\pi)}{8\pi}=r^2[/tex]. Canceling out the π's and the 8's leaves us with simply

r² = 49 so

r = 7


Darnell took a total of 14 pages of notes during 7 hours of class. After attending 8 hours of
class, how many total pages of notes will Darnell have in his notebook? Assume the
relationship is directly proportional.
pages

Answers

Answer:

16 pages

Step-by-step explanation:

1 hour= 2 pages written of notes

so 8 hours of notes = 8x2=16 pages

Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.



15.3 m

10 m

24.6 m

22.4 m

Answers

Answer:

Solution given:

perpendicular[p]=x

base[b]=11.6m

hypotenuse[h]=19.2m

by using Pythagoras law

h²=p²+b²

19.2²-11.6²=x²

x=[tex]\sqrt{234.08}[/tex]

x=15.3m

option

a.

15.3 m

Answer:

15.3 m

Step-by-step explanation:

c refers to the longest side (hypotenuse) whereas a and b referes to the two other smaller sides of atriangle.

pythagoras theorem

a^2 + b^2 = c^2

11.6^2 + x^2 = 19.2^2

134.56 + x^2 = 368.64

x^2 = 368.64 - 134.56

x^2 = 234.08

x=[tex]\sqrt{234.08[/tex]

x=15.29

x=15.3 m

Answer this question for me please

Answers

Answer:

9-2 = 7

8-3 = 5

[tex]\sqrt{5^{2} +7^{2} \\[/tex]

= 8.602325267

Step-by-step explanation:

Anthony and Joan have $10 to buy apples and oranges at the market. They will buy a total
of 25 pieces of fruit. Apples cost 50 cents each and oranges cost 25 cents each. Which of
these systems best represents this situation?

Answers

The last one

x + y = 25 is the number of pieces of fruit they will buy, where x is apples and y is oranges.

0.50x + 0.25y = 10 applies the cost, in cents, to each piece of fruit. The 10 is 10.00, keeping everything to the same number of decimal places.

Please help me solve my problem!!!

Answers

True

Hope this helps! :)

______________

Can someone please help me find the measure of angle ABO?

Answers

Answer:

m<ABO = 22 deg

Step-by-step explanation:

A tangent intersects a circle at the point of tangency making a right angle with the radius drawn to that point. That means that <BAO is a right angle and measures 90 deg. That makes the other two angles of the triangle complementary with a sum of 90 deg.

m<O + m<B = 90

68 + m<B = 90

m<B = 22

Answer: m<ABO = 22 deg

How do you find co terminal angle of -445

Answers

Answer:

275°

Step-by-step explanation:

-445+360=-85+360=275°

In a survey, 15 high school students said they could drive and 15 said they could not. Out of 60 college students surveyed, 30 said they could drive. Micah concluded that knowing that a person is in college means they are more likely to drive. Is Micah’s conclusion correct? Explain.

Answers

Answer:

No.

Step-by-step explanation:

#1, the sample size is not indicative of a proper high school population, unless of all there is a small amount of students in the high school (or even only 30 students in it). On a individual basis, it can vary widely, and so data analysis such as this is not correct. The data size is skewed as well for the college, especially as college campuses typically house more students then usual. To only ask 60 college students also skew the data gotten. Another sample error may be locational error, in which the location of the schools may warrant the need for a driver license, or if it is not needed, as well as the distance of the student's house and/or where needed facilities are to accommodate a student's needs and desires.

If we were to set all these problems aside and focus more on the question, 15 high school students said they could drive, and 15 said they could not, which makes the sample size of 30 high school students in all. 15 say they can drive, therefore:

15/30 = 1/2, or there is a 50% chance of obtaining a student that can drive.

On the other hand, out of 60 college students surveyed, 30 said they can drive, therefore:

30/60 = 1/2, or there is a 50% chance of obtaining a student that can drive.

∴ Micah's prediction is incorrect in obtaining a college student that can drive more easily then obtaining one that can drive in a high school.

However, remember that too small of a data size can lead to a heavy skew, and it will not represent reality as well.

~

Answer:

Sample Response: No, Micah is not correct. Since there are equal numbers in the group that drive and the group that doesn’t drive, the relative frequency for each is 50%. Because the relative frequencies are the same, there is no association between the variables.

Step-by-step explanation:

Got this from Edg 2021

what is the difference of the polynomials?
{m^2n^2-7}-(mn+4)

Answers

Answer:

[tex]m^{2} n^{2} - mn-11[/tex]

Step-by-step explanation:

Simplify the expression.

slope = 4, point (3,-2) is on the line

Answers

Answer:

y = 4x + b

Step-by-step explanation:

We know that (3, -2) is on this line. So 3 = m(-2)+b.

This leaves us with two variables the slope (m) and the y intercept (b).

But wait a minute, the slope is given to us since it says slope = 4.

Our equation is now, 3 = 4(-2)+b

3 = -8 + b

b = 11.

Our final equation is now y = 4x + b.

(y,x) is a point on this line.

Hope this helped!

JoeLouis2

What are the solutions of x2 - 2x +17 - 0?
O A. x = 1+2, or x = 1 - 2
O B. X = 1+4, or x = 1- 47
O c. x = 2, or x = -2
O D. x = 4; or x = -4/

Answers

Answer:

option B

Step-by-step explanation:

[tex]x^2 - 2x + 17 = 0 \ , \ [ \ where \ a = 1 , \ b = - 2 \ c = 17 \ ][/tex]

[tex]x = \frac{- b \ \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{2 \ \pm \sqrt{2^2 - (4 \times 1 \times 17)}}{ 2 \times 1}\\\\x = \frac{2 \ \pm \sqrt{4 - 68}}{ 2 }\\\\x = \frac{2 \ \pm \sqrt{-64}}{ 2 }\\\\x = \frac{2 \ \pm \sqrt{8^2 \times -1}}{ 2 }\\\\x = \frac{2 \ \pm \ 8\sqrt{ -1}}{ 2 }\\\\[/tex]              

[tex]x = \frac{2 \ \pm\ 8 i}{ 2 }\\\\[/tex]                               [tex][ \ where \ i = \ \sqrt{i} \ ][/tex]

[tex]x = 1 \ \pm \ 4i\\\\x = 1 + 4i , \ x = 1 - 4i[/tex]

Answer:

O B.  [tex]x=1+4i[/tex] or [tex]x=1-4i[/tex]

Step-by-step explanation:

Use the Quadratic Formula for the Quadratic Equation!

Quadratic Equation: [tex]x^{2} -2x+17=0[/tex]

Quadratic Formula: [tex]x= \frac{-b±\sqrt{b^2-4ac} }{2a}[/tex]

**********************************************************************

Now set up the values like this!

[tex]ax^{2} +bx+c[/tex]

**********************************************************************

[tex]x=\frac{-b±\sqrt{-2^2-(4(0)(17)} }{2(0)}[/tex]

[tex]x=\frac{-b±\sqrt{4-(1)} }{0}[/tex]

x = 1 - 4i

x = 1 + 4i

What is the answer to 4/5 of 30?

Answers

Answer:

24

Step-by-step explanation:

[4 / 5 ] * 30 = 24

Answer:

24

Step-by-step explanation:

To get the answer you have to multiply the 4/5 x 30 to get the answer

an estate valued at $75 000 is divided among three daughters Natasha, Natalie and Nadia in the ratio 5:8:2 respectively. Calculate the amount each receives ​

Answers

Answer:

Natasha: $25000

Natalie: $40000

Nadia: $10000

Step-by-step explanation:

5 : 8 : 2

5 + 8 + 2 = 15

$75000 ÷ 15

$5000

$5000 × 5 = $25000

$5000 × 8 = $40000

$5000 × 2 = $10000

Which value of a,b, and c correctly represent the answer in simplest form?

Answers

Answer:

A

Step-by-step explanation:

first, you turn 3 1/2 into 3 2/4'ths and change 3 two fourth's into 14/4 fraction.

next, you change 2 one fourth into 9/4th's fraction

your equation would be 14/4 divided by 9/4th's = a times b/c

when you used divide, you get get flip one of the fractions being divided, and it could turn into 14/4 TIMES 4 over 9 = a times b/c.

wait this area down here could be wrong:

when you get your equation, multiply them together and you get 56 over 36 equals a times b/c.

A times B /C is equal to 56/36 which can simple out to 28/18 which AGAIN simpled out to 14/9

C IS 9 BECAUSE IT IS THE DENOMINATOR

and because of that, A would be the answer.

what are the x intercepts if y is 16x takeaway 8x squared?​

Answers

Answer:

The x-intercepts are (0, 0) and (2, 0)

Step-by-step explanation:

The function is y = 16x - 8x^2.

To find the x-intercepts, we set this function equal to zero (0) and solve the resulting equation for x:

16x - 8x^2 = 8x(2 - x) = 0.

Then 8x = 0 yields x = 0 and 2 - x = 0 yields x = 2

The x-intercepts are (0, 0) and (2, 0)

Line q has a slope of -8/9 , Another line r has the slope of 9/8.Are line q and line r parallel or perpendicular?

Answers

Answer:

perpendicular

Step-by-step explanation:

parallel => both lines have the same value of slope

perpendicular => the product of both slope values are -1

=> -8/9 x 9/8 = -1

If Line q has a slope of -8/9 , Another line r has the slope of 9/8.Then both lines are perpendicular but not parallel

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Two lines are parallel when the slope of two lines is same, so 1 and r are not parallel.

Two lines are said to be perpendicular when the product of two slopes is minus 1.

Line q has a slope of -8/9

Let m₁=-8/9

r has the slope of 9/8

m₂=9/8

Now let us multiply  m₁ and m₂

m₁ ×m₂

-8/9×9/8

-1

The product of slopes of q and r is -1. The lines are perpendicular.

Hence Line q and line r are perpendicular but not parallel.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ2


[tex]\huge\mathfrak\red{please \: solve \: } \\ \\ {\huge{\underline{\bf{\green{factorise: - }}}}} \\ \\ {\huge{\boxed{\sf{\purple{2x {}^{2} + 9x + 10 }}}}}[/tex]

Answers

Answer:

(x + 2)(2x + 5)

Step-by-step explanation:

2x^2 + 9x + 10 =

This is a trinomial of the form ax^2 + bx + c, where a is not 1.

Step 1: Try to factor out a common factor.

In this case, there is no common factor in all terms.

We will now factor by grouping.

Step 2. Find the product ac.

ac = 2 * 10 = 20

Step 3. Find two factors of ac whose product is ac and whose sum is b.

In this case, we need two numbers whose product is 20 and whose sum is 9.

Those numbers are 4 and 5.

Step 4. Break up the middle term using the two numbers we just found.

9x becomes 4x + 5x

Now we have

= 2x^2 + 4x + 5x + 10

Step 5. Factor by grouping. Factor a common factor out of the first two terms. Factor a common factor out of the last two terms.

= 2x(x + 2) + 5(x + 2)

Finally, factor out the common factor, x + 2.

= (x + 2)(2x + 5)

Answer: (x + 2)(2x + 5)

2
Use the Pythagorean Theorem (a + b² = c) to find the missing side length.

Answers

Answer:

21.4

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2} \\13^{2} + 17^{2} = c^{2} \\169+ 289 = \sqrt{c^{2} } \\\sqrt{458} = \sqrt{c^{2} } \\21.4 = c[/tex]

[tex]\huge\bold{Given:}[/tex]

Length of the base "b" = 17 yd.

Length of the perpendicular "a" = 13 yd. [tex]\huge\bold{To\:find:}[/tex]

The length of the missing side, hypotenuse ("c").

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\boxed{C.\:21.4\:yd}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

Using Pythagoras theorem, we have

[tex]({perpendicular})^{2} + ({base})^{2} = ({hypotenuse})^{2} \\ \\⇢( {13 \: yd})^{2} + ( {17 \: yd})^{2} = {c}^{2} \\ \\⇢ {c}^{2} = 169 \: {yd}^{2} + 289 \: {yd}^{2} \\ \\⇢c = \sqrt{458 \: {yd}^{2} } \\ \\⇢c = 21.40 \: yd[/tex]

[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:missing\:side\:"c"\:is\:21.4\:yd.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex]( {13 \: yd})^{2} + ( {17 \: yd})^{2} = {21.4 \: {yd}^{2} }\\ \\ ⇝169 \: {yd}^{2} + 289 \: {yd}^{2} = 457.96 \: {yd}^{2} \\ \\⇝458 \: {yd}^{2} = \: 458\: {yd}^{2} \\\\⇝ L.H.S.=R. H. S[/tex]

Hence verified. ✔

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

What is the volume of this. Pyramid

720 cm2
1080cm2
1440 cm2
2160 cm2

Answers

Answer:

Option (1)

Step-by-step explanation:

To calculate the volume of the given pyramid,

Formula to be used,

Volume = [tex]\frac{1}{3}(\text{Area of the triangular base)}(\text{Height})[/tex]

Area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                             = [tex]\frac{1}{2}(9)(15)[/tex]

                                             = 67.5 cm²

Now volume of the pyramid = [tex]\frac{1}{3}(67.5)(32)[/tex]

                                               = 720 cm³

Therefore, Option (1) will be the correct option.

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