Find the greatest common factor of these two expressions.
28y^7x^2 and 8y^8v^4x^6

Answers

Answer 1

Answer:

4y⁷x²

Step-by-step explanation:

Finding GCF:

    Prime factorize each expression.

28y⁷x² = 2 * 2 * 7 * y⁷ * x²

8y⁸v⁴x⁶ = 2 * 2 * 2 * y⁸ * v⁴ * x⁶

GCF = 2 * 2 *y⁷*x²

        = 4y⁷x²


Related Questions

how can pascal's triangle be useful in finding probabilities? 30 point for thisss I need help

Answers

Answer: The coefficients of binomial expansions are calculated using Pascal's triangle.

Two open cylinders have the same radius but one is twice as long as the other.
a) Calculate the volume of the two cylinders and compare them using a final statement (sentence).
b) Calculate the surface area of the two cylinders and compare them using a final statement (sentence). If you notice a relationship between volume and surface area,add it to your final
statement. (God bless anyone who can help me ).

Answers

Answer:

shown below

Step-by-step explanation:

a) V = h(pi)r²

let x = height

and c = the constant radius

V1 = 2x(pi)c²

V2 = x(pi)c²

let c = random number, such as 2

let x = 3

2x(pi)4

x(pi)4

pi(4) = 12.57

3 x 12.57 = 37.7

6 x 12.57 = 75.4

We can compare these ans realise that the cylinder with double the height will also have double the volume.

b) SA = h(pi)2c

SA1 = 2x(pi)2c

SA2 = x(pi)2c

let c = 2

let x = 3

2(3)(pi)(2(2))

6(pi)4

24(pi)

3(pi)(2)(2)

3(pi)(4)

12(pi)

I don't need to finish the calulation to see that this is also halved. So the surface area of the one with the double length is twice the surface area of the one with a smaller height.

Comparatively, both the volume and surface area are doubled when the height is doubled.

QED.

5. A, b, c plsssssss rn

Answers

5a. a° = 128°

5b. b° = 1.3°

5c. c° = 341°

How to determine the unknown sides

5a

a° = 128°

This is because parallel angles are equal and angles a° and 128° are parallel to each other

5b

Angles (4b-10)° and (2b - 2)° are equal.

This is because alternate angles are equal and they are alternate to each other

To find b , equate both angles

4b - 10 = 2b - 2

collect  like terms

4b + 2b = -2 + 10

6b = 8

Make 'b' subject of formula

b = 8/6

b = 1.3°

5c.

c° is at angle at a point.

19° is alternate to the other part of the point

We have, c° + 19° = 360° (angle at a point)

c° + 19° = 360°

Make 'c' subject of formula

c° = 360° - 19°

c° = 341°

Thus, the unknown angles are given as a = 128°, b = 1.3°, c = 341°

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Please help me answer question 7/11 asap

Answers

The value of a₃₃ is 1.

What is Matrices?

Matrices is a plural form of a matrix, which is a rectangular array or a table where numbers or elements are arranged in rows and columns.

Here,  aₓₙ is the element of matrix in which x represents the number of row and n represents the number of column of element.

So, a₄₃ means element from 4th row and 3rd column.

3rd row  =  [6   7   1   8]

3rd column = [tex]\left[\begin{array}{ccc}8\\6\\1\\3\end{array}\right][/tex]

the common value between them is 1.

Thus, the value of a₃₃ is 1.

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Which list is in order from least to greatest?

Answers

Answer:

The first option.

Explanation:

Since these numbers are given in scientific notation, we must first look at the exponent to determine whether or not it's big or small. Negative exponents are less, so we start with that. Immediately, that eliminates the second and third options as -8 is less than -6 and 3. The last two numbers given in the first and last options, however, both have 3 as the exponent. Now, we look at the number given in front. 2.5 is less than 7, so we know that the first option is in order from least to greatest.

What is the quotient startfraction negative 8 a superscript 8 baseline b superscript negative 2 baseline over 10 a superscript negative 4 baseline b superscript negative 10 baseline endfraction in simplified form? assume a not-equals 0, b not-equals 0.

Answers

The quotient for the given exponential expression (-8a⁸b⁻²)/(10a⁻⁴b⁻¹⁰) is (-4/5)(a¹²b⁸).

Exponents are of the form aˣ, read as "a to the power of x", and signify the product of a multiplied by itself x number of times.

In the question, we are given an exponential expression (-8a⁸b⁻²)/(10a⁻⁴b⁻¹⁰) and are asked to find the quotient of it.

To find the quotient, we will try to simplify the equation using the laws of exponents in the following way:-

(-8a⁸b⁻²)/(10a⁻⁴b⁻¹⁰),

= (-4/5)(a⁽⁸ ⁻ ⁽⁻⁴⁾⁾b⁽⁻² ⁻ ⁽⁻¹⁰⁾⁾) {Using the law of exponent: [tex]\frac{x^{a} }{x^{b} } =x^{(a-b)}[/tex] }

= (-4/5)(a¹²b⁸).

Therefore, the quotient for the given exponential expression (-8a⁸b⁻²)/(10a⁻⁴b⁻¹⁰) is (-4/5)(a¹²b⁸).

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bear corp. has $100,000 cash in the bank restricted to repay a note payable that matures in 2 years. how should this $100,000 be reported?

Answers

It should be reported as a restricted cash in the long-term section of the company balance sheet.

What is note payable?

Note payable  can be defined a the money a company or an organization owes or the money they are expected to payback..

Note payable is classified as long term liabilities. Hence, the cash amount of $100,000 should be reported or recorded in the balance sheet as a restricted cash.

Therefore  the $100,000 is reported as a restricted cash.

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graph the line of best fit

Answers

Answer:

something like this

Step-by-step explanation:

you want the line to go as close to as many dots as possible

one gym membership charges $10 a month with a sign-up fee of $45. Another gym does not charge patrons a sign-up fee but costs $25 a month. at what month is the total cost of both memberships the same?

Answers

Answer:

3 months

Step-by-step explanation:

Which statements about the location of the point are true? Select three options.

Answers

The point lies behind yz-plane

S is a subset within a universal set, u. if s = {x, y, 4, 9, ?}, which could describe u?

Answers

The set that best describes the universal set U is; U = {keys on a keyboard }

How to determine mathematical sets?

We are told that S is a subset within a universal set U.

Now, from the subset S = (x, y, 4, 9, ?), we will need to find among the given sets the one that describes the best set.

From the subset, we see that the Universal set will be keys on a key board due to the fact that the keys on a keyboard will have alphabets, numbers and punctuation marks mentioned in the set.

Therefore U = {keys on a keyboard } will be the correct answer.

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$50 item discounted 30%

Answers

Answer:

$15 is the answers

Step-by-step explanation:

please mark me as brainlest

Answer:

$ 35.00   is what you pay     $15.00 off original price

Step-by-step explanation:

30 % discount means you pay 70 %

$ 50 * .70 = $ 35 .00

Type the correct answer in each box. Use numerals instead of words.
The domain of this function is (-12.-6.3, 15).
y =
Complete the table based on the given domain.
X
-6
15
y
S
15

Answers

Answer:

ttttihbogfpvvovovibjnphgbpvvvohj

Please help answer this question asap 2/11

Answers

The correct answer is option A which is the value a₃₂ = 7.

What is the matrix?

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.

In the given matrix the value of a₃₂ means that the element of the third row and the second column.

So the value of a₃₂ will be 7. which is present in the third row and the second column.

Therefore the correct answer is option A which is the value a₃₂ = 7.

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What is the nth term rule of the linear
sequence
below?
1, 7, 13, 19, 25, . ..

Answers

Answer:

Un= 1+(n-1)6

Step-by-step explanation:

a = 1

d= 7-1= 13-7= 6

and using the formula, Un= a+(n-1)d

HELPPPPP PLSSSS I ONLY HAVE A FEW MINUTES LEFT

Answers

Answer:

6

Step-by-step explanation:

The second rational number equals 2 1/3.

Adding the mixed numbers:

[tex]3 \frac{2}{3} + 2 \frac{1}{3} = 5 \frac{3}{3} = 6 [/tex]

A singles tournament had six players. Each player played every other player only once, with no ties. If Helen won 4 games, Ines won 3 games, Janet won 2 games, Kendra won 2 games and Lara won 2 games, how many games did Monica win

Answers

Monica win 2 games.

What is Expression?

In maths, an expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)

According to the question,

First we  look from the perspective of one player.

How many games does this person play? 5.

Now, each or the 6 people in the tournament played 5 games,

SO,  

[tex]^{6} C_{2} = \frac{6!}{2! * 4!} = \frac{6*5}{2} = 15[/tex]

Therefore,

We know that there were a total of 15 games played.

This means, there were 15 losses, and more importantly, 15 wins.

Not counting Monica, there were:

4 + 3 + 2 + 2 + 2 = 13 wins.

This leaves,

15 − 13 = 2 wins for Monica.

Hence, 2 games won by monica in a tournament.

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The table to the right lists probabilities for the corresponding numbers of girls in three births. What is the random variable, what are its possible values, and are its values numerical?

Answers

The true statement is (b) the random variable is x, the possible values are 0 to 3 and the values are numerical

How to determine the true statement?

The table is added as an attachment

From the attached image, we have:

Number of girls (x)          P(x)

0                                         0.125

1                                         0.375

2                                         0.375

3                                         0.125

In the above, the random variable is x, while P(x) represents its probabilities.

Also, the possible values are 0 to 3 as shown in the table.

0 to 3 are numerical digits, and the values are numerical

Hence, the true statement is (b)

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Find x and y.
help please ty:)​

Answers

Please, make sure you understand the solution:

We can notice that x + (x - 28) = 90

2x - 28 = 90
2x = 118
x = 59

Now for y:

We can notice that y + 90 + x = 180

y + 90 + 59 = 180
y + 149 = 180
y = 180 - 149

y = 31

Can someone help with this pls

Answers

c is the awnser!!

i took the test and it was correct

Answer:

This is C

Step-by-step explanation:

The slope is 4, meaning the integers are 4, 8, 12, 16, 20 etc. But then the last point is seen to be 40, meaning the answer is C because it is from 0-40 with a slope of 4.

Eric throws a biased coin 10 times. He gets 3 tails. Sue throw the same coin 50 times. She gets 20 tails. Aadi is going to throw the coin once.

1. Which one of the following statements is, correct about the probability of Aadi getting Tails?
A. Sue's estimate is best because she throws it 50 times.
B. Sue's estimate is best because she gets more Tails.
C. Sue's estimate is best because she throws it more times than Eric

2. Use Eric's and Sue's results to work out an estimate for the probability that Aadi will get Tails. Write out your fraction in the form a/b.

Answers

Sue's estimate is best because she throws it more times than Eric. Regarding the probability of Aadi obtaining tails, Statement C is accurate.

What is probability?

The chances of an event occurring are defined by probability. Probability has several uses in games, and in business to create probability-based forecasts.

Ten biased coin throws are made by Eric. He is dealt 3 tails. Sue tosses a coin 50 times. I give her 20 tails.

Aadi will only toss the coin once. Regarding the probability of Aadi obtaining tails.

Sue's estimate is best because she throws it more times than Eric.

Hence option C is correct.

2)

An estimate for the likelihood that Aadi will receive tails using the findings of Eric and Sue. 3/20 will be the fraction of the form a/b.

The probability of the Aadi getting tails;

P(Aadi) = 3 / 360 = 1/120

P(Sue) = 20/50×36 = 1/90

Hence the fraction in the form of a/b willl be 4/3.

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there are 7 yellow marbles and 10 orange marbles in a bag you randomly choose one of the marbles what is the possibilty of choosing a yellow marble

Answers

Answer:

probability; ( of choosing a yellow marble)

7 yellow marbles + 10 orange marbles = 17 in total

if the no of yellow marbles is 7 therefore = ⁷/10

so that is the probability ⁷/10

Hope this helps

The probability is 7/10.

HEEEEEEEELLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp

Answers

Answer:

6

Step-by-step explanation:

This problem centers on recognizing the relationship between fractions and repeating decimals.

Note the following:

[tex]\frac{1}{3}=0.33333333333333333333333333333333333333333333333...[/tex]  

or more simply [tex]\frac{1}{3}=0.\bar{3}[/tex]

This means that [tex]2\frac{1}{3}=2.\bar{3}[/tex]

Going back to the original expression, [tex]3\frac{2}{3}+2.\bar{3}[/tex]  simplifies to [tex]3\frac{2}{3}+2\frac{1}{3}[/tex]

Next, adding mixed numbers.  For adding mixed numbers, whole number parts and fractional parts can be added separately (this is because of the associative and commutative properties of addition)... because

[tex]3\frac{2}{3}+2\frac{1}{3}[/tex] means the same thing as

[tex](3+\frac{2}{3})+(2+\frac{1}{3})[/tex]

Changing the order, we can write it as

[tex]3+2+\frac{2}{3}+\frac{1}{3}[/tex]

Adding the whole number parts, 3+2 is 5.

Next, adding the fraction parts:

For adding fractions, one must have a common denominator (the bottom part of the fraction must be the same).  Once they are the same, the denominator just sort of "hangs out" until the end without changing, and the numerators (the tops) are added together.

Fortunately, the denominators are already the same.  So, add the numerators, and the denominator will stay as a 3.

[tex]\frac{2}{3}+\frac{1}{3}[/tex]

[tex]\frac{1+2}{3}[/tex]

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

It is important to recognize that any fraction* where the number on the top matches the number on the bottom, the fraction is equivalent to 1.

*(except if the number we're talking about is zero)

So, the fraction parts added together, are equivalent to 1, and the whole number parts added were equal to 5.  Returning to our expression...

[tex]3+2+\frac{2}{3}+\frac{1}{3}[/tex]

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

[tex]5+1[/tex]

[tex]6[/tex]

Write and solve a proportion to complete the statement. Round to the nearest hundreth if necessary.
1. 6km ≈ ?mi
2. 2.5 L≈ ?gal
3. 90lb ≈ ?kg
pls help

Answers

The conversion of the following units are done below.

6 km = 3.72 miles2.5 L = 0.65 gallons90 lb = 40.5 kg

What is conversion?

Conversion means to convert the same thing into different units.

We know the following unit's conversion.

1 km = 0.62 miles

6 km = 3.72 miles

    1 L = 0.26 gallons

2.5 L = 0.65 gallons

  1 lb = 0.45 kg

90 lb = 40.5 kg

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I need help with Algebra every single time

Please help

Answers

Answer:

perimeter = 12 z + 3

Explanation:

The perimeter of a shape is the sum of all the sides.

Therefore, we add all the sides' lengths together:

perimeter = (4z - 2)+(3z + 3)+(z + 5)+(4z- 3)

= 12 z + 3

Solve this system of equations algebraically:

y – 10 = 11x + x2

y – 12x = 30



The first solution is (–4, –18).



The second solution is (
,
).

Answers

Answer:

(-4,-18) and (5,90)

Step-by-step explanation:

I'll assume the first equation is supposed to be y – 10 = 11x + x^2

This is a parabola.  The second equation is a straight line:  

y – 12x = 30

We want to find the points at which these lines intersect.  They will intersect for any (x,y) that

Let's rearrange the second equation to isolate y:

y – 12x = 30

y  = 30 + 12x

Now we can take the this value of y and substitute it into the first equation:

y – 10 = 11x + x^2

(30 + 12x) – 10 = 11x + x^2

20 + 12x = 11x + x^2

0 = x^2 -x -20

We can factor this into (x+4)(x-5)

That means x can be either -4 or 5.

Find the value of y using these values of x in both original equations:

For x = -4

y – 10 = 11x + x^2

y  = 11x + x^2 + 10

y = 11(-4)+(-4)^2 +10

y = -44 + 16 + 10

y = -18    The point both lines meet is at (-4, -18) which was already given in the problem.  

For x = 5

y – 10 = 11x + x^2

y  = 11x + x^2 + 10

y  = 11(5) + (5)^2 + 10

y  = 55 + 25 + 10

y = 90

The second point both lines meet is (5,90).

We should use both solutions in the second equation to verify these values, but I'll graph them, instead.  See the attached graph to prove these points are correct.


What is the original price of an item that is being charged a tax of 20%, and
the total price is $144?
Points 1

Answers

20% of 144=$28.80

So 144-28.80= 115.20
$115.20
20% of 144 is 28.80 dollars
So 144 minus 28.80 equals 115.20
The answer is 115.20

How many 1/4 minutes are there in 3/4 minutes?

Answers

Answer: 3

Step-by-step explanation:

[tex]\frac{\frac{3}{4}}{\frac{1}{4} }=3[/tex]

2
3
4
5
6
7
8
O They have the same slope.
O They have the same y-intercept.
9
10
TIME REMAINING
55:24
Suppose a system of two linear equations has one solution. What must be true about the graphs of the two equations
O They intersect at one point.
O They intersect at two points.

Answers

Answer:

72

Step-by-step explanation:

yhsvybybyvyyvtvvyyvvt

Answer:

number 9 is the answer for this question

Which parent function is represented by the graph?

Answers

Answer:

Linear

Step-by-step explanation:

pretty self explanatory

Answer:

The linear parent function Step-by-step

Step-by-step explanation:

Linear functions are always characterized by a straight line graph with or without an intercept on the vertical or horizontal axis. A linear function usually has an independent variable and a dependent variable.

Hope your having a great day!!

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