Find the greatest common factor of 6a^3b^2c^10 + 20c^10 – 8a^3b^2c^9

Answers

Answer 1

Answer: [tex]2c^9[/tex]

Step-by-step explanation:

I'm assuming this is the expression: [tex]6a^3b^2c^{10}+\:20c^{10}\:-\:8a^3b^2c^9[/tex]

[tex]\mathrm{Factor\:}6a^3b^2c^{10}[/tex] (Expand using 2's and 3's as they are the common factor in all terms)

[tex]2\cdot \:3\cdot \:a\cdot \:a\cdot \:a\cdot \:b\cdot \:b\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]

[tex]\mathrm{Factor\:}20c^{10}[/tex] (5 needed to expand the coefficient)

[tex]2\cdot \:2\cdot \:5\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]

[tex]\mathrm{Factor\:}8a^3b^2c^9[/tex]

[tex]2\cdot \:2\cdot \:2\cdot \:a\cdot \:a\cdot \:a\cdot \:b\cdot \:b\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]

Common factors (terms that are in all expressions):

[tex]2\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]

Simplify:

[tex]2c^9[/tex]


Related Questions

y<-2/3 x-1 graphing the inequality

Answers

Answer:

y  <  −  2/3x  −  1

Step-by-step explanation:

Write an equation in slope-intercept form for the line with y-intercept −8 and slope 1/3

Answers

Answer:

y=1/3x-8

Step-by-step explanation:

The slope intercept form of a line is y=mx+b

m stands for slope and b stands for y intercept

So ... simply put 1/3 in for m and -8 in for b

Please help me!!! I will try to give brainliest

Answers

Answer:

Slope-intercept form: y = -3x/5 - 3

Point slope form: y = -3/5 (x + 5)

Standard form: 5y + 3x = -15

Step-by-step explanation:

Using points (-5, 0) and (0, -3)

Gradient of the line = (-3-0)/(0+5)

= -3/5

Slope intercept form; y = mx + c

when x= 0 , y = -3

therefore intercept on y axis = - 3

y= -3x/5 - 3

Point slope form: y - y1 = m (x - x1)

y - 0 = -3/5 (x + 5)

y= -3/5 (x+5)

Standard form: ax + by = c

y= -3/5 (x + 5)

5y = -3(x + 5)

5y= -3x - 15

5y + 3x = -15

Which of the following is NOT an equivalent expression for the confidence interval given by 161.7 Choose the correct answer below.
O A. 161.7 +27.8
B. 175.6 -13.9 O C. 175.6 + 13.9
OD. (161.7.189.5)

Answers

According to the confidence interval given, the non-equivalent expression is:

A. [tex]161.7 \pm 13.9[/tex]

The interval given is:

[tex]161.7 \leq \mu \leq 189.5[/tex]

Which can also be written as: (161.7.189.5)

The point estimate is the halfway point of the interval, hence:

[tex]\overline{x} = \frac{161.7 + 189.5}{2} = 175.6[/tex]

The margin of error is half the difference of the bounds, hence:

[tex]M = \frac{189.5 - 161.7}{2} = 13.9[/tex]

According to the point estimate and to the margin of error, the interval can also be written as:

[tex]175.6 - 13.9 \leq \mu \leq 175.6 + 13.9[/tex]

[tex]175.6 \pm 13.9[/tex]

Hence, the only expression which is non-equivalent is:

A. [tex]161.7 \pm 13.9[/tex]

You can learn more about confidence intervals at https://brainly.com/question/25779324

Multiply. Write the answer in simplest form. 3/7 x 2 5/6

Answers

193/42

3×6+25×7÷4218+175÷42193/42

What is the slope of the line?

Answers

Answer:

[tex] - \frac{2}{3} [/tex]

Step-by-step explanation:

Pick two points on the graph: (4, -5) and (1, -3)

[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

Slope

[tex] = \frac{ - 5 - ( - 3)}{4 - 1} [/tex]

[tex] = \frac{ - 5 + 3}{3} [/tex]

[tex] = - \frac{2}{3} [/tex]

pls help meee

6.) in a repeating musical pattern, there are 56 beats in 7 measures. How many measures are there in 104 beats?

Answers

Answer:

23 measure

Step-by-step explanation:

because 56/7 = 8

so 104/8=23

Answer:

13 measures

Step-by-step explanation:

for every 7 measures, there is 56 beats. and if you want to find out how many beats there are per measure, you would do 56 ÷ 7 = 8.

Now that you've found thay there are 8 beats per measure, you would divide 104 by 8 to find out how many measurs there are.

104 ÷ 8 = 13

The equation y = 1/4x represents a proportional relationship. What is the constant of proportionality?​

Answers

Answer:

The constant of proportionality is k=1/4

Step-by-step explanation:

For the equation y=kx, y varies directly with x with the constant of proportionality k. Therefore, k=1/4 is the answer.

Which item produces the magnetic field in the electromagnet?
A-paperclips
B- a switch
C-paint brushes
D- a magnet

Answers

Answer:

Its ethier a switch or magnet

an object has a mass of 24 grams and a volume of 6cm3. what is the density

Answers

Answer:

4 grams

Step-by-step explanation:

Mary Alice is making a curtain for her kitchen window. She bought 2 1/12 yards of fabric. Her total cost was $16.
What is the COST PER YARD?

Answers

Answer:

7.68$

Step-by-step explanation:

2+(1/12)=2.08

16/2.08=7.68

Answer:

6.4

Step-by-step explanation:

What reaction did Pocahontas's people have to her helping the Jamestown colonists?

Answers

Answer:

They were very angry about her helping the colonists.

Step-by-step explanation:

Evaluate the expression when c=4 and y=-4.
6(4) (-4)

Answers

Answer:

6×4×(-4)

24×(-4)

-96

Step-by-step explanation:

Hope it will help you...

solve for x . Help me solve them

Answers

[tex]\\(1).\\\\(1.7898)^{2x} = (1.7898)^6\\\\\implies \ln(1.7898)^{2x} = \ln(1.7898)^6\\\\\implies 2x \ln(1.7898) = 6 \ln(1.7898)\\\\\implies 2x =6\\\\\implies x = \dfrac 62 =3\\\\(3).\\\\2^{5x -6} = 4^{x+9}\\\\\implies 2^{5x -6} = (2^2)^{x+9}\\\\\implies 2^{5x-6} = 2^{2x+18}\\\\\implies \ln(2^{5x-6}) = \ln(2^{2x+18})\\\\\implies (5x -6) \ln 2 = (2x +18) \ln 2\\\\\implies 5x -6 = 2x +18\\\\\implies 5x -2x = 18 +6\\\\\implies 3x = 24\\\\\implies x = \dfrac{24}3 =8[/tex]

What are the consecutive numbers that follow the number 686

Answers

Answer:

  687, 688, 689, 690, ...

Step-by-step explanation:

Each in a list of consecutive integers is 1 more than the previous number. Consecutive integers following 686 are ...

  687, 688, 689, 690, ...

Solve for x given that AC = 4, CE = 8, AB = X - 8, and BD = 2.


What is the measurement of AB?

Answers

I don’t think this is possible to dive because there’s not enough information in the problem to solve for x/AB
Sry- hope that helps in some way :)

Miriam has 3 packages of pencils. Each
package has 6 pencils. She needs an
eraser for each pencil. How many erasers
will she need to buy?

Tell which OPERATIONS you will use. Then
solve the problem. (Very important).

Answers

Answer:

18

Step-by-step explanation:

you will use multiplication

3(packages of pencils)×6(pencils)=18pencils

so she will need 18 erasers for each pencil


Which equation is modeled on the number line below?

Answers

Answer:

A

Step-by-step explanation:

You have two increments of -5, so you know that 2 x -5 = -10. You know it is negative 10 because it is going to the left.

Hope this helps!

The triangles pictured below are:




Congruent by AAS
Congruent by AAS

Congruent by HL
Congruent by HL

Congruent by SSS
Congruent by SSS

Congruent by SAS
Congruent by SAS

Congruent by ASA
Congruent by ASA

Not Congruent
Not Congruent IMAGE BELOW

Answers

Answer:

NOT CONGRUENT

Step-by-step explanation:

Angle Side Side doesnt work so it is not congruent

It’s number 5 what is the domain and range plz help urgent

Answers

Answer:

Domain: -2,-1,0,3 Range: -2,-1,0,3

Step-by-step explanation:

The x values (horizontal) is the domain and the dots on the x values are -2,-1,0,3. The y values is the range and the dots on the y values are -2,-1,0,3. Hope this helps :)

Nam
20. Carol bought 5 pork chops and 3 steaks.
Each pork chop weighed 0.32 pound
and each steak weighed 0.8 pound. How
Temand
many pounds of meat did Carol buy in
telall?

Answers

Answer: Carol bought 4 pounds(lb) of meat.

Explanation: 0.32 x 5 = 1.60, and 0.8 x 3 = 2.40, and 1.60 + 2.40 = 4.

The weight of the meat bought by Carol is 4 pounds.

What is an expression?

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

Given that Carol bought 5 pork chops and 3 steaks. Each pork chop weighed 0.32 pounds and each steak weighed 0.8 pounds.

The weight of the meat will be calculated as:-

0.32 x 5 = 1.60,

0.8 x 3 = 2.40,

Total weight,

1.60 + 2.40 = 4 pounds

Therefore, the weight of the meat bought by Carol will be 4 pounds.

To know more about an expression follow

https://brainly.com/question/11541401

#SPJ2

The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.

Fraction:
Decimal:
Percent:

Answers

Answer:

Fraction: 9/10

Decimal: 0.9

Percent: 90%

Good morning! May somebody help me as soon as possible? Like ASAP ASAP possible

Answers

Answer:

i hope you'll understand

Step-by-step explanation:

[tex] - x - 2y = 5 \\ 3x + 2y = 9 \\ - x - 2y - 5 = 3x + 2y - 9 \\ - 4x - 4y - 4 = 0( \div by \: - 1) \\solution 4x + 4y = 4[/tex]

If it takes 7.1 pounds of seed to plant one acre of grass, how many acres can be planted with 7.81 pounds of seed?

Answers

Answer: make me brainlist

Step-by-step explanation: 1.1 x

help pls dawg i aint tryna get an F

Answers

Answer:

The answer is d hope this helps!!

Step-by-step explanation:

Divide by lomg division

Please help me it's due in 5 minutes!! I will give brainliest!

Answers

Answer:

[tex]110 + 11w[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]11(10 + w)[/tex]

[tex](11 * 10) + (11 * w)[/tex]

[tex]110 + 11w[/tex]

Answer:  [tex]110 + 11w[/tex]

A catering company orders 150 lb of fresh clams for a banquet serving 100 people, and 30 lb of clams for dinner party of 20 people. Determine the standard number of clams per serving.​

Answers

Answer:

about two clams per person

Step-by-step explanation:

Answer:

It is 1.5 lb per serving.

Step-by-step explanation:

Well, this is just a matter of proportions.

Here is our current proportion:

150lb

---------

100 guests

Now, all we need to do is make it per one guest.

150lb     =      x lb

-----------      ---------------

100 guests = 1 guest

Now, to get from 100 to 1, I divided by 100, right?

So, because this is a ratio, and it needs to be proportional, we do the same for 150.

150/100=1.5.

It is 1.5 lb per serving.

Help help help help help help help math math

Answers

Answer:

Step-by-step explanation:

5x + 10 + 10x + 5 = 180

15x + 15 = 180

15x = 165

x = 11

2(7x-5)-6x+2=0 help me out

Answers

[tex]2(7x-5)-6x+2=0\\\\\implies 14x -10 -6x +2=0\\\\\implies 8x -8 =0\\\\\implies 8(x-1) =0\\\\\implies x -1 =0\\\\\implies x =1[/tex]

Increasing y = - 12× + 4

Answers

Hope this helps :) There is 2 images
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