Which expression is the completely factored form of a³ +8y6 ?
O(x+2y²) (x² - 2xy² + 4y¹)
O (x+2y²) (x² + 4y¹)
○ (x+2y²) ³
O(x-2y²) (x² + 2xy² + 4y¹)

The pairs of equivalent expressions are:

(-14 + 3/2b) - (1 + 8/2b) --> -15 - 5/2b

(5 + 2b) + (2b + 3/2) --> 4b + 13/2

(7/2b - 3) - (8 + 6b) --> -5/2b - 11

(-10 + b) + (7b - 5) --> 8b - 15

Evaluate each of the given expressions in order to find out which expression is equivalent to each.

(-14 + 3/2b) - (1 + 8/2b) = (-14 + 3/2b) - (1 + 4b)

= -14 + 3/2b - 1 - 4b

= -15 - 5/2b

(5 + 2b) + (2b + 3/2) = 5 + 2b + 2b + 3/2

13/2 + 4b

4b + 13/2

(7/2b - 3) - (8 + 6b) = 7/2b - 3 - 8 - 6b

-5/2b - 11

(-10 + b) + (7b - 5) = -10 + b + 7b - 5

= -15 + 8b

= 8b - 15

Thus, the pairs of equivalent expressions are:

(-14 + 3/2b) - (1 + 8/2b) --> -15 - 5/2b

(5 + 2b) + (2b + 3/2) --> 4b + 13/2

(7/2b - 3) - (8 + 6b) --> -5/2b - 11

(-10 + b) + (7b - 5) --> 8b - 15

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The given geometric series, the first term is a₁ = 2 and the common ratio is r = -1

What are some examples of geometric series?

We are given to find the values of  a₁ and r of the following geometric series

2 - 2 + 2 - 2 + 2 - ........

We know that

a₁ is the first term and r  is the common ratio of the given geometric series.

We can see that the first term of the given geometric series is 2.

So. we must have

            a₁ = 2

Also, common ratio is found by dividing a term by its preceding term.

Therefore, the common ratio r  of the given geometric series is

r = -2/2 = 2 / -2 = ...... = -1

Thus, for the given geometric series, the first term is a₁ = 2 and the common ratio is r = -1.

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The  profit or loses  change should he receive​ is $19.5

Given,

The price of Dozen of mangoes is $.15

Robert gives $20

The change should be is $20-$.15 =$19.5

When a person buys an item at one price and later sells it at a different one, he either earns a profit or loses money. There are several phrases that are involved with the complete transaction procedure. For instance, cost price (C.P. ), selling price (S.P. ), discount, marked price, profit, and loss. Let us go through the definitions of these terminologies one by one.

Price Cost

For example, if Neil purchased an umbrella for $8, the cost price of the umbrella is $8. The abbreviation is C.P.

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Reason:

32 = 8*4

56 = 8*7

We see that 8 is the largest common factor, aka GCF, of 32 and 56

So this is the greatest number of guests possible.

Each guest will get 32/8 = 4 cookies and 56/8 = 7 slices of pizza.

The statements which are true about parallel lines are;

Parallel lines in their simplest description are lines which would never meet or cross each other under any circumstance.

Also, It follows from line geometry that such lines have the same slope and are coplanar, exist in the same plane.

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Answer:

The answer would be B.

Step-by-step explanation:

(-2,2)(0,0)(2,2) represents a nonlinear function.

Answer:

42.857143%

Step-by-step explanation:

As a decimal, this would equal, 0.428!

When you convert that into a percentage, you'll get 42.857143%, which btw, you can round to 43%!

I hope this helps!

After solving the given equation the two values of V are (v = 12) and

(v = -2/3).

So, substitute 'w = 3v + 2' in w(2v + 9) = 3w(v - 1):

Therefore, two values of v are (v = 12) and (v = -2/3)

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9g-8g-1=16

g-1=16

g=17

The scale used by Johan is 1: 252.

Here, we are given that Jonah made a scale drawing of the picnic area in which the 70 yards wide picnic area in real life, was 10 inches wide in the drawing.

As per mathematical measurements-

1 yard = 3 feet

and 1 feet = 12 inches

Thus, 3 feet = 12 x 3 inches

= 36 inches

Therefore, we get that 1 yard = 36 inches

Now, the picnic area is 70 yards

the picnic area in inches is = 70 x 36 inches wide

= 2520 inches

Thus the scale used by Johan will be-

10 : 2520

= 1 : 252

Thus, the scale used by Johan is 1 : 252.

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The equation that represents the depth of snow on Emily's lawn t hours after the snow stopped falling is

S = 15 - 0.75t

From the question, we are to write an equation for S, in terms of t, that represents the depth of the snow on Emily's lawn, t hours after the snow stopped falling

From the given information,

"There was a depth of 15 inches of snow on the lawn when the storm ended"

and

"after 4 hours, the depth of snow was down to 12 inches"

That is,

The snow has reduced by 15 - 12 inches after 4 hours

15 - 12 = 3

Thus,

The snow has reduced by 3 inches after 4 hours

Now,

If the snow reduced by 3 inches after 4 hours,

Then,

The snow will reduce by x inches after 1 hour

x = (3×1)/4

x = 3/4 inches

x = 0.75 inches

This means the snow reduces by 0.75 inches every hour.

Now,

After t hours, the snow would have reduced by 0.75t

Thus, the depth of the snow, S, after t hours will be

S = 15 - 0.75t

Hence, the equation that represents the depth of snow on Emily's lawn t hours after the snow stopped falling is

S = 15 - 0.75t

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The highest z-score is corresponding to Calculus, hence in Calculus Kary have the highest relative score using standard deviation and mean concept i.e. 2.5.

As per the question statement, It is given that Kary took 4 courses last semester i.e., History, Biology, Calculus, and Physics. The means and standard deviations for the final exams, and Kary's scores are given as follows:

History 53   16

Blology 77    10

Calculus 70   12

Physlcs 60  14

Kary's score In the above four subjects are: 69,74.5,88,67

We are supposed to convert Kary's score in z-score which is as follows:

History : [tex]\frac{69-53}{16} =1[/tex]

Biology: [tex]\frac{74.5-77}{10}=-0.25[/tex]

Calculus: [tex]\frac{88-70}{12} =1.5[/tex]

Physics: [tex]\frac{67-60}{14} = 0.5[/tex]

From the above calculations, it is clear that The highest z-score is corresponding to Calculus, hence in Calculus Kary have the highest relative score using standard deviation and mean concept i.e., [tex]1.5[/tex]

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Answer:

C) 3 sets of -2 tiles

Step-by-step explanation:

Its -2 three times, making it -6

If you multiply a positive and negative it is always negative

Answer:

Step-by-step explanation:

angle 5 = 52, therefore angle 6 = 180 - 52 = 128

angle 7 = 52

Answer:

sum = addition. p+157=171

Step-by-step explanation:

Answer: P + 157 = 171

Step-by-step explanation:

The proportion of trick-or-treaters that were not dressed as Spiderman will be 131/15.

From the information, two out of every fifteen trick-or-treaters that came to the house last Halloween were dressed as Spiderman.

Therefore the fraction is represented as 2/15.

Therefore, the proportion of trick-or-treaters that were not dressed as Spiderman will be:

= 1 - 2/15

= 13/15.

Therefore, the proportion of trick-or-treaters that were not dressed as Spiderman will be 131/15.

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The cost to send a letter that weighs 5 ounces is $11.75.

Flat rate = $8.00

Charges on every ounce = $0.75

Given equation :

y = 0.75x + 8.00

'y' = Cost of the postage

'x' = Weight of the letter in ounces

According to the question we can determine the cost of mailing a letter with the help of given equation (y = 0.75x + 8.00).

We have given that the weight of letter that need to send is 5 ounces.

So, x = 5

Lets find the cost of postage,

y = 0.75x + 8.00

y = (0.75 × 5) + 8.00

y = 3.75 + 8.00

y = $11.75

Hence, it will take $11.75 to mail a letter or we can say cost of postage.

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[tex] \sqrt{15} \approx3.873\\ \\ \sqrt{15} < 3.9[/tex]

Carl calculates the z-score corresponding to the weight 255oz= -1.5.

Now, Carl decides to find the percent associated with boxes less then 255 oz, so he rounds to hundred and substract 50% - 7% = 43%.

Given that,

In an orchard, apple weights are typically distributed. Fred the farmer concludes from a sample that the average weight of a box of apples is 270 ounces, with a standard deviation of 10 ounces.

He is interested in knowing what proportion of the apple boxes he has gathered for sale will weigh less than 255 oz.

Mean is 270

Standard deviation is 10

x = 255

Formula for z-score,

z = (x - mean)/SD

z = (255 - 270) / 10

=> z = -15 / 10

=> z = -1.5

Hence, by using z-table,

-1.5 equates to 0.0668, which suggests that 0.07

Therefore, 7% of Apple boxes weigh less than 255 oz.

The ratio of boxes is between 255 oz and 270 oz,

Calculating the proportion

Now,

50% - 7% = 43%.

Therefore, Carl calculates the z-score corresponding to the weight 255oz= -1.5.

Carl decides to find the percent associated with boxes less then 255 oz, so he rounds to hundred and substract 50% - 7% = 43%.

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The required solution is correct. AB = 5.5.

Given that,

AB=[1+4.5]=5.5

To describe the expression and to determine whether the expression is correct or not.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

here,
Simplifying the given expression, AB = 1 + 4.5
AB = 1 + 4.5
Addition property of alike terms
AB = 1.00 + 4.50
AB = 5.50

AB = 5.5

Thus, the required solution is correct. AB = 5.5

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The second semester grade point average for Patty was 2.21.

Due to that,

She received an upper D mark in the five hours of discrete math.

A higher B in her three-hour sociology class,

In her one-hour engineering course, she received an upper C.

And an upper B mark in her five-hour philosophy course.

A is worth four points, B is worth three, C is worth two, D is worth one, and F is worth none.

We must discover,

The semester's grade point average for Patty.

The answer to the query is

The student's grade point average is:

multiplying each point by its corresponding credit hour, adding them all up, and then dividing the result by the total amount of credit hours.

Then,

A single point is equal to 5(1) + 3(3) + 1(2) + 5(3), which is 5 + 9 + 2 + 15 = 31.

The numbers outside of the parentheses represent the credit hours while those inside represent the points.

Now,

Total credits earned equal 14 (5 + 3 + 1 + 5).

Patty's semester grade point average was 2.21.

Patty's semester grade point average is 2.21 as a result.

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The inequality which represents the statement given in the task content; x is greater than -2 and less than 8 is; -2 < x < 8.

It follows from the task content that the inequality which represents the statement given in the task content is to be determined.

First each section of the statement must be highlighted as follows;

x is greater than -2 can be written as;

x > -2 or -2 < x

x is less than 8 can be written as:

x < 8.

Therefore, the compound inequality which represents the word phrase is; -2 < x < 8.

Ultimately, The inequality which represents the statement given in the task content; x is greater than -2 and less than 8 is; -2 < x < 8.

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Answer:

Hello,

Answer: B   : y=(m-3)*(x+1)²3

Step-by-step explanation:

The parabola with vertex (-1,3)

is y=k(x+1)²+3

(0,m) is a point of the parabola:

m=k*(0+1)²+3 ==> k=m-3

So, y=(m-3)*(x+1)²+3 is the correct equation.

Answer:

Binomial

Step-by-step explanation:

There are only 2 terms

Answer:

88,86416

Step-by-step explanation:

Answer:

the answer is x intercept is 8 and the y intercept is 10