Find the GCF for each pair of monomials. 1. 14n2, 35n4 2. 21n3, 18n2 3. 7n2, 9

Answers

Answer 1

Answer:

[tex](1)7n^2\\(2)3n^2\\(3) 1[/tex]

Step-by-step explanation:

(1) [tex]14n^2, 35n^4[/tex]

[tex]14n^2=2 X 7 X n^2\\35n^4=5 X 7 Xn^2Xn^2\\$Therefore, the GCF of 14n^2$ and 35n^4$ is 7Xn^2=7n^2[/tex]

(2)[tex]21n^3, 18n^2[/tex]

[tex]21n^3=3 X 7 X n^2 X n\\18n^2 =3 X 6 X n^2\\$Therefore, the GCF of 21n^3$ and 18n^2$ is 3Xn^2=3n^2[/tex]

(3) [tex]7n^2, 9[/tex]

The two terms are co-prime. Therefore their GCF is 1.


Related Questions

100 to anyone who can answer all of these !!!

Answers

Answer:

24yrds is (a) 24.12yrds is (b) 64yrds is (c) And that's all i can do, don't get mad at me please.

Step-by-step explanation:

Find the missing angle measurements

Answers

Answer:

The angle for the top of the triangle is 79. For the right corner would be 56. Then going to the bottom of the blue triangle vertice would be 75. The missing angle next to that one would be 55/

Step-by-step explanation:

Which function describes the graph shown below?

On a coordinate plane, a curve crosses the y-axis at (0, negative 2), increases to negative 2.5, decreases to negative 2.5, and then increases again.
y = one-half sine (x) minus 2
y = 2 sine (x) minus one-half
y = one-half cosine (x) minus 2
y = 2 cosine (x) minus one-half

Answers

Answer: A

Step-by-step explanation:

The amplitude is .5 and the vertical translation is -2. So, y= 1/2sin(x)-2

Answer:

A. y= 1/2 sin(x)-2

Step-by-step explanation:

Correct in edge 2021!

Write the equation of the circle P graphed below.

Answers

(1,-4) the fourth axis i think is (+,-) the ex is one away from the origin and the y is 4 steps away from the origin

Find the value of x and y

Answers

Answer:

x=24 y=19

Step-by-step explanation:

2y=y+19

y=19

2x-8=x+16

x=16+8

x=24

Answer:

x = 24

y = 19

Step-by-step explanation:

Set the expressions with the x-variables together, and the y-variables together, like so:

2x - 8 = x + 16

Subtract x from both sides:

x - 8 = 16

Add 8 to both sides:

x = 24

Solving for y:

2y = y + 19

Subtract y from both sides:

y = 19

Find the length of arc KN.
can a genius help me??please​

Answers

Answer:

Length KN = 2π/3 = 2.094

Step-by-step explanation:

Length KN = (mKN/360)2πr

Length KN = (40/360)2π3

Length KN = (1/9)6π

Length KN = 6π/9

Length KN = 2π/3 = 2.094

Does the function model exponential growth or decay?
h(t) = 0.25 - 1.5t
A.) growth
B.) decay

Answers

Answer: it’s growth

Step-by-step explanation:

What is the volume of the pyramid h=9.6 l=8.5 w=8.5

Answers

Answer:

V = 231.2

Step-by-step explanation:

v = (l * w * h )/3

Answer:

V ≈ 231.2

Step-by-step explanation:

Using the formula: V = 1/3 x L x W x H

Need Help Please, Stressing out :( and Thank you:)

Answers

Answer:

please don't be stressed :)

2. c

Step-by-step explanation:

2. if 1,000 is one kilogram then 1,412 = 1.412.

sorry i could only answer 1 but hope this helps

I think it is C, if I’m wrong, I’m really sorry !

A square pyramid has a base with a total area of 144 m2 and the volume of 384m3, what is the slant height of the pyramid

Answers

Answer:

8m

Step-by-step explanation:

Volume of a square based pyramid is expressed as [tex]V = a^{2} \frac{h}{3}[/tex] where;

a is the base edge

a² is the base area

h is the slant height

Given Volume of the pyramid V = 384m³

Base area a² = 144m²

h =?

On substituting to get the slant  height;

[tex]384 = 144*\frac{h}{3}\\ 1152 = 144h\\h = \frac{1152}{144} \\h = 8m[/tex]

The slant height of the pyramid is 8m

Doug is a dog, and his friend Bert is a bird. They live in Salt Lake City, where the streets are 1/16 miles apart and arranged in a
square grid (see map). They are both standing at the corner of 6th avenue and L street. Doug can run at an average speed of 30
mi/hr through the streets of Salt Lake, and Bert can fly at an average speed of 20 mi/hr. They are about to race to the corner of
10th avenue and Estreet. who would win and why?

Answers

No map given but it shouldn't matter.

E is the 5th letter, L the 12th.

Start at S(6,12).  End at E(10,5)

The vector between them, E-S=(4,-7)

Each unit is 1/16 of a mile, though that probably doesn't matter that much.

Doug has to stay on the grid, so has to run |4|+|7|=11 units.  At 30 mi/hr that takes (11/16)/30 =  0.022916 hours.

Bert can go diagonally, so flies √(4²+7²)=√65 ≈ 8.06 units.  At 20 mi/hr that takes (8.06/16)/20 = 0.025194 hours.

Answer:  Doug wins

Why? Because it's quicker to cover 4+7 at 30 mph than it is to cover √(4²+7²) at 20 mph.  That is, Doug is 1.5 times faster and the 1.5 times the diagonal distance is more than the grid distance.

Answer:

Doug wins. He finishes in 1.38 minutes. Bert takes 1.51 minutes.

Step-by-step explanation:

Each city block is a square 1/16 mile by 1/16 mile.

From 6th Av and L Street to 10th Av and E Street, they need to go 4 avenues and 7 streets over. These two distances along blocks are the legs of a right triangle. The right triangle has legs of length 4 * 1/16 mile and 7 * 1/16 mile.

leg1 = 4 * 1/16 mile = 0.25 mile

leg2 = 7 * 1.16 mile = 0.4375 mile

The hypotenuse of the right triangle can be calculated by the Pythagorean theorem.

a^2 + b^2 = c^2

(0.25 mile)^2 + (0.4375 mile)^2 = c^2

c = 0.50389

The direct distance from one corner to the other is 0.50389 miles.

The bird travels this distance since the bird can fly above the streets.

The dog has to travel along the legs of right triangle by running in the streets and avenues. The dog travels 0.25 mile + 0.4375 mile = 0.6875 miles

Now we need to see what takes less time:

Bird: distance of 0.50389 miles at 20 mph, or

Dog: distance of 0.6875 miles at 30 mph

We start with the formula for speed:

speed = distance/time

s = dt

Now we solve it for time:

st = d

t = d/s

Time equals distance divided by speed.

Now we find the times for the bird and for the dog.

Bird:

t = d/s = (0.50389 mi)/(20 mi/h) = 0.02519 hours = 1.51 minutes

Dog:

t = d/s = (0.6875 mi)/(30 mi/h) = 0.0229 hours = 1.38 minutes

The bird takes 1.51 minutes, and the dog takes 1.38 minutes.

The dog takes less time to get there, so the dog wins.

Amy must choose a number between 55 and 101 that is a multiple of 3, 6, and 7. Write all the numbers that she could choose. If there is more than one number, separate them with commas.

Answers

Answer:

84

Step-by-step explanation:

L.C.M. of 3,6,7=42

42×1=42

42×2=84

42×3=126

55<84<101

Which statement about the credibility of this source is most accurate ? A.

Answers

Answer:

C. The source is credible because it contains facts and information that are accurate.

Step-by-step explanation:

The statistics(60%) used provide facts on the topic that make the source credible

PLEASE HELP 35 POINTS!!!!!!


In two or more complete sentences discuss the advantages and disadvantages of investing in a 529 plan versus investing in a money market account.

Answers

Answer:

Step-by-step explanation:

A 529 plan (Qualified tuition plan) is a tax-advantaged savings plan for future education costs while a money market account refers to a investment or a deposit with a financial institution that earns interest based on the current rates.

Money market deposit accounts are better choices than 529 plan for money you might need to tap at a moment’s notice to cover an emergency or an unexpectedly large expense. They pay higher interest than ordinary savings accounts and give you immediate access to your money

While in 529 savings plan, If you don’t use the money invested for college tuition, you will be penalized 10 percent when you withdraw the money to use it for something else. In addition, both your state and the federal government will tax the earnings on your account in your current tax bracket.

The basic advantage of 529 plan over money market account is the tax-advantage that is the amount invested or withdrawn is tax free. It also has high return and funds from it can be used for another beneficiary who is a qualified family member. Whereas the disadvantage is that the 529 plan is a specified fund for future education purposes. This makes it restricted as the fund can not be transferred for a different use. Unlike the money market account whose use is not restricted. It can be withdrawn to meet diverse financial needs including education. More so, funds in the money market account are insured and can be easily accessed.

In essence, the 529 plan is a specific investment while a money market account is more general in nature.

Answer:

im grounded bc i cheated with this

Step-by-step explanation:

What is the range of the relation?
[(-4, 3), (-4, 4), (-3, 1), (1, 1)}
{-4, -4,-3, 1}
{-4, -3, 13
{1, 1, 3, 4]
{1,3,4​

Answers

So the right answer is of option D.

Look at the attached picture..

Additional Information:

The second components of a relation is called range

Hope it will be helpful to you. .

The range of the function is {-4, 4, -3, 1}.

What is the range of the function?

The range of a function is a set of all its possible outputs.

The range is the spread of the values of the output of a function. If we are able to calculate the maximum and the minimum values of the function, we can get an idea of the range of the function.

The given relation is;

[(-4, 3), (-4, 4), (-3, 1), (1, 1)}

The range of a function refers to the entire set of all possible output values of the dependent variable.

The range of a function is a set of all its possible outputs.

The range of the function is {-4, 4, -3, 1}.

Learn more about the range here;

https://brainly.com/question/393946

#SPJ2

help please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

4 feet by 3 feet

Step-by-step explanation:

I hope this helped you out

Which of the situations describes a temperature of –2 degrees?
2 degrees colder than 1 degree
2 degrees colder than 0 degrees
2 degrees warmer than 1 degree
2 degrees warmer than 0 degrees

Answers

2 degrees colder than 0 degrees because is comes before zero, therefore a negative 2

Answer:

B

Step-by-step explanation:

Which set of side lengths is a Pythagorean triple?

A) 1, 3, 10
B) 4, 5, 9
C) 9, 40, 41
D) 16, 30, 44

Answers

Answer:

A 1,3,10

Step-by-step explanation:

3, 4, 10. This means that 3 and 4 are the lengths of the legs and 5 is the hypotenuse.

I believe the answer is A: 1, 3, 10. If that is wrong, I’m terribly sorry!!

Which ordered par Woud form a proportional relationship with the point graphed Below?

A (10,10)
B (25,35)
C (70,50)
D (90,60)​

Answers

D: (90,60) that’s the answer

The hourly wages earned by 20 employees are shown in the first box-and-whisker plot below. The person earning $15 per hour quits and is replaced with a person earning $8 per hour. The graph of the resulting salaries is shown in plot 2. A box-and-whisker plot is shown. The number line goes from 7 to 15. The whiskers range from 8 to 15, and the box ranges from 8.8 to 10.2. A line divides the box at 9.5. Plot 1 A box-and-whisker plot is shown. The number line goes from 7 to 15. The whiskers range from 8 to 11, and the box ranges from 8.7 to 10. A line divides the box at 9.6. Plot 2 How does the mean and median change from plot 1 to plot 2? The mean and median remain the same. The mean decreases, and the median remains the same. The mean remains the same, and the median decreases. The mean and median decrease.

Answers

Answer:

The mean decreases, and the median remains the same.

Step-by-step explanation:

Remember that a box plot is made by the quartiles of the distribution, the maximum value and the minimum value. So, from a box plot we can deduct the range, the median and the interquartile range.

In this case, the median remains the same at $9.5 per hour. The median is indicated by the middle line of the box, and you can observe that it doesn't change.

Now, the range of the data set decreases from 7 to 3.

On the other hand, the mean must decrease, because data greater than $11 doesn't exist in the box plot number 2, and the mean is a central measure sensible to those changes.

Therefore, the right answer is The mean decreases, and the median remains the same.

Answer:

the awswer is b

Step-by-step explanation:

took the test

NEED HELP ASAP
Find the volume of the cylinder. r measures 7 inches, height measures 8 inches ​

Answers

Answer:

1230.88

Step-by-step explanation:

Volume= pi(r^2)h

Volume=3.14(49)(8)

Volume=1230.88

A rectangle has a height of 7a^2 and a width of a^4+5a^2+4.

Express the area of the entire rectangle.

Answers

7a^6 + 35 a^4 + 28a^2

What is the value of s?
units
0
5
В
8
15
S
D

Answers

Consider the triangle ABD,

Here,

AB = 5

BD = 15

AD = s

As we know,

In a triangle, the sum of lengths of two sides is greater than the third side.

So,

[tex]5 + 15 > s[/tex]

[tex]15 + s > 5[/tex]

[tex]s + 5 > 15[/tex]

Now,

To satisfy the equation, the value of s can possibly be 11, 12, 13, 14, 15, 16, 17, 18, 19

Answer: the value of s is 17 units

Step-by-step explanation: youre welcome

Can someone helpppppppppp

Answers

Answer:

A

Step-by-step explanation:

The reason it is A is because

It goes in biggest to lowest A B C D

C and B don't follow that so we are left with A and D

In answer D   C and B are too close in percentage therefore it cannot be D

Therefore your answer is A

Hope this helped!

Please help
Find answer Asap and I will mark as brainliest!!

Answers

Answer:

3 units.

Step-by-step explanation:

If you view the triangle face in halves, the bottom leg is  units as 8/2 = 4. The hypotenuse is 5 units given in the centre of the triangular prism. You can then use the Pythagorean theorem to calculate that the height is 3.  

The height is 3 units

If I have a probability of 2/5, what is the percentage of probability.


A. 52%

B. 40%

C. 2.5%

D. 80%

Answers

B 40
2 divide by 5= 0.4 which equals to 40%

Answer: 40%

Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.

So to write 2/5 as a percent, we need to find a fraction equivalent to 2/5 that has a 100 in the denominator.

We can do this by setting up a proportion.

[tex]So[/tex] [tex]we[/tex] [tex]have[/tex] [tex]\frac{2}{5} = \frac{n}{100}[/tex].

Now, we can use cross-products to find the missing value.

So we have (2)(100) which is 200 is equal to (5)(n) or 5n.

So we have 200 = 5n.

Next, dividing both sides of the equation by 5, we have 40 = n.

So 2/5 is equal to 40/100 or 40%.

Find the interquartile range (IQR) of the data in the box plot below.

Asap ASAP Please PLZ

Answers

Answer:

3

Step-by-step explanation:

IQR is the difference between the upper and lower medians so the IQR = 7 - 4 = 3

The interquartile range (IQR) of the data in the given box plot is: 3.

What is the Interquartile Range (IQR) of a Data?

In a box plot, the interquartile range (IQR) is the difference between the upper quartile and the lower quartile which are represented as each edge of the rectangular box.

Upper quartile = 7Lower quartile = 4

Interquartile range (IQR) = 7 - 4

Interquartile range (IQR) = 3

Learn more about Interquartile range (IQR) on:

https://brainly.com/question/17083142

#SPJ2

Find the value of X

X=

Part B

Find the measure of RPS

A. 45

B. 36

C. 60

D. 64

Answers

Answer:

x=8

RPS = 36

Step-by-step explanation:

QPS = 180

The two angles that form QPS

QPR + RPS = 180

7x+88 + 3x+12 = 180

Combine like terms

10x+100 =180

Subtract 100 from each side

10x = 180-100

10x = 80

Divide by 10

x =80/10

x = 8

RPS = 3x+12

        = 3(8)+12

         24+12

        36

The product of Jack's age and Florence's age is 266. Jack is 14 years
old. How old is Florence?

Answers

Answer:

19

Step-by-step explanation:

you divide 266 by 14

Answer:

19

Step-by-step explanation:

266 ÷ 14 = 19

4) The diameter of a circle is 32m. The radius is represented by 4(x + 2).
Part A: Write an equation you can use to find the value of x.
Part B: What is the value of x?

Answers

Answer:

The value of x is 2

Step-by-step explanation:

Diameter = 2r -------------------------------------------------------------------(1)

where r is the radius

The value of the diameter = 32 m   and  radius is given to be 4(x+2)

substitute the above into equation (1)   and then solve for x

32  =  2 [ 4(x + 2)]

first open the inner bracket

32 = 2[4x + 8}

then open the outer bracket

32 = 8x + 16

subtract 16 from both-side of the equation

32 - 16 = 8x +16 - 16

16 = 8x

Divide both-side of the equation by 8

16/8  = 8x/8

2 = x

x = 2

Therefore, the value of x is 2

Other Questions
Compute: 10:00 - 2:30 2 PointsWhat was an effect of careful planning for cities?A. Increased interest in cultural activitiesB. Ending of urban growthO C. Efforts to reduce safety lawsD. Improved lives for all classesSUBMIT please Helps its urgent On December 31, 2017, Berclair Inc. had 560 million shares of common stock and 5 million shares of 9%, $100 par value cumulative preferred stock issued and outstanding. On March 1, 2018, Berclair purchased 168 million shares of its common stock as treasury stock. Berclair issued a 5% common stock dividend on July 1, 2018. Four million treasury shares were sold on October 1. Net income for the year ended December 31, 2018, was $1,050 million. Also outstanding at December 31 were 30 million incentive stock options granted to key executives on September 13, 2013. The options were exercisable as of September 13, 2017, for 30 million common shares at an exercise price of $56 per share. During 2018, the market price of the common shares averaged $70 per share. Required: a. Compute Berclair's basic and diluted earnings per share for the year ended December 31, 2018. In IJK, the measure of K=90, JK = 90 feet, and KI = 54 feet. Find the measure of I to the nearest tenth of a degree. ill give 17 points for this! Which excerpt from A Black Hole Is NOT a Hole is meant to help readers understand what a black hole looks like?If you could somehow take a close-up picture of a black hole, it wouldn't be one for the scrapbook. It would just be blank . . . and black.Just outside the event horizon of a black hole, light's energy keeps it zipping along, like that fish swimming along the outer edge of a whirlpool.As the light continues traveling in its new direction, it gets even closer to the center of the black hole, where gravity is even stronger.Just as you rely on the rise and fall of a melody's tune and volume to recognize a particular song, scientists look for a unique pattern in the rise and fall of the X-rays to identify a black hole. Write an inequality for each sentence.The elephant weighs more than 12,000 pounds. The spray from a sprinkler reaches 21 feet from the sprinkler and creates a circle as it spins. What is the circumference of the circle sprayed by the sprinkler? Use 227 for . 21 ft66 ft120 ft132 ft Please answer fastSolve the following system of equations graphically. Click on the graph until the correct solution of the system appears. y = -3 x - y = 8 Indicate whether the statement makes sense or not. Tenemos que comer porque acabamos de comer. W varies inversely as the square of t. If W = 12 when t = 2,find t when W = 27.A. 27t = 24B. 27t2 = 48C. 108 = 12tD. 12t = 54 f(1)=-3f(n)=2*f(n-1)+1f(2).... What is the first step in solving quadratic equations by finding square roots? How do I calculate this parent function of a linear function? The parent function of a linear function is y=x. When the parent function is changed to y=x+5, how does the graph transform? What was Ester Hernndez's inspiration for her work Sun Mad? You have 0.00891 g of platinum. What is this in micrograms? Name this compound:Ca(CO3) Correct answers only!To the nearest cent, how much will he have in 2 years?Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years. Read the friendly letter. March 20, 2018 I had fun at your birthday party. Thank you for inviting me. I hope you had a great birthday! Sincerely, Sam Which part is missing from the friendly letter? body date salutation signature