Find the volume of the cylinder.
Either enter an exact answer in terms of pi or use 3.14 for pi

The factor of the given polynomial 4x^2 + 23x – 72 would be equal to (4x - 9) (x + 8).

Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.

The given polynomial expression

[tex]4x^2 + 23x - 72[/tex]

We factor in the highest common denominator of each group.

[tex]4x^2 + (-9+32)x - 72[/tex]

[tex]4x^2+9x-32x - 72[/tex]

[tex](4x-9)x+8(4x-9)[/tex]

Finally, the factored expression is

(4x - 9) (x + 8)

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The surface area of the covering of the cone to the nearest square inches is 788 inches²

surface area of a cone = πr(r + l)

where

Therefore,

diameter = 2(radius)

14 = 2r

r = 14 / 2

r = 7 inches

l² = 7² + 28²

l = √49 + 784

l = √833

l = 28.8617393793

l = 28.86 inches

Therefore,

surface area = 3.14 × 7 (7 + 28.86)

surface area = 21.98 × 35.86

surface area = 788.2028

surface area = 788 inches²

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Answer: Here you go :)

Step-by-step explanation:

Hope this helps, have a nice day!

1) The mean of set A is larger than the mean of set B.

2)The median of set A is larger than the median of set B.

A = {10, 12, 12, 6, 8, 5, 4, 10, 8, 10, 12, 12, 6}

B = {8, 8, 8, 7, 9, 7, 9, 10, 6, 8}

Mean is the ratio of the sum to the total number of observations.

Mean of set A = 115/13

Mean of set B =80/10 =8

So, the mean of set A is larger than the mean of set B.

Arranging both the sets in ascending order

A = {4, 5, 6, 6, 8, 8, 10, 10, 10 12, 12, 12, 12 }

Median of set A = middle term = 7th term = 10

Similarly, the median of set B =8

So, the median of set A is larger than the median of set B.

Thus, 1) The mean of set A is larger than the mean of set B.

2)The median of set A is larger than the median of set B.

Answer:

B D E

Step-by-step explanation:

I took the assignment and these are right. :)

Answer:

18cm

if it takes 12cm to wrap 6 presents, it means it takes 2cm to wrap one present.

9 individual presents will take 2 wraps, so Dwayne needs 18cm of wrapping paper.

Answer:

x = -6

Step-by-step explanation:

3x + 17 = -2x - 13

==> add 2x to both sides

5x + 17 = - 13

==> subtract 17 from both sides

5x = -30

==> divide both sides by 5

x = -6

Answer:

y=2

Step-by-step explanation:

Hey there!

The answer is y=2 because the x-axis is not defined (there's no value for it as the line didn't pass through it)

→ Perimeter = 2( Length + Width)

→34 = 2x + 2(4x-3)

→34 = 2x + 8x - 6

→34 = 10x -6

→10x = 34 +6

→10 x = 40

→x = 40/10

→x = 4

Hope this helped you!

Answer:

22%

Step-by-step explanation:

formula for percentage increase:
increase/original number x 100

increase is $66 (366-300)

66/300 x 100

= 22/100 x 100

= 22

hope this helped :)

Answer:

-2

Step-by-step explanation:

Since 12 is more

12 - 14

-2

Answer:

can u show a more clear picture or tell me the numbers on it

Sum of the interior angles of any n-side shape must equals to :

[tex](n - 2) \times 180[/tex]

Thus ;

[tex](5 - 2) \times 180 = [/tex]

[tex] 3\times 180 = [/tex]

[tex]540 \: \: degrees[/tex]

So :

[tex]x + 122 + 100 + 90 + 144 = 540[/tex]

[tex]x +456 = 540[/tex]

Subtract both sides 456

[tex]x + 456 - 456 = 540 - 456[/tex]

[tex]x = 84[/tex]

There u go...

The expected value is 50 then Carmen’s prediction is low because 200 times one-fourth is 50. Then the correct option is B.

Expectation can be taken as a weighted mean, weights being the probability of occurrence of that specific observation.

Thus, if the random variable is X, and its probability mass function is given as

[tex]E(X) = \sum_{i=1}^n( f(x_i) \times x_i)[/tex]

(n is the number of values X takes)

Carmen is going to roll an 8-sided die 200 times.

She predicts that she will roll a multiple of 4 twenty-five times.

The sample will be

Total event = 8 {1, 2, 3, 4, 5, 6, 7, 8}

Then the favorable event will be to roll an 8-sided die and get a multiple of 4. Then we have

Favorable event = 2 {4, 8}

Then the probability will be

[tex]\rm P = \dfrac{2}{8} = \dfrac{1}{4}[/tex]

A dice is rolled 200 times, then by the binomial theorem we have the expected value will be

[tex]E(x) = nP = 200 \times \dfrac{1}{4} = 50[/tex]

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Answer:

B

Step-by-step explanation:

Answer:

400 boys : 200 girls

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

The mean teaching year for all 218 teachers at High School A is 7.73 if the teaching year is recorded as an integer, with first-year teachers recorded as 1, second-year teachers recorded as 2, and so on.

It is defined as the numerical data representation in the graph with the help of a bar without space. The histogram gives an idea about the data's approximate distribution.

We have two histograms representing the teaching year with frequency.

From the first histogram the two reactangles represents = 45+48 = 93

From the second hisogram = 79+34 = 113

Median divided into two equal parts.

From the data:

The first graph has 200 points

The second graph has 221 points

The first graph median should be near the 100th data point

The second graph median should be the 111th data point

We obtain 93 from rectangles on a, which is less than 100, and these two rectangles include 1-4 and 4-7 (not including?) As a result, we might argue that this data covers 1-6.

We clearly need more values after we reach the medians, thus we must include the following interval. As a result, in a medium, 7 should be used.

The same reasoning applies to b), where the first two rectangles yield 113 and the median is the 111th datum point. We don't need to add these two rectangles because it includes them. So, for this median, the next interval (7-10) must be 6.

For part (b):

Mean of 18 = 2.5

= 2.5×18 ⇒ 45

Mean of 200 = 8.2

= 200×8.2 ⇒ 1640

New mean = Total/number of observation

= (45+1640)/(200+18)

= 1685/218

= 7.729

= 7.73

Thus, the mean teaching year for all 218 teachers at High School A is 7.73 if the teaching year is recorded as an integer, with first-year teachers recorded as 1, second-year teachers recorded as 2, and so on.

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The percentage increase in the sales of hybrid cars from 2005 to 2012 is 10%.

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentages are a measure of frequency.

Percentage increase = (number of cars sold in 2012 / number of cars sold in2005)^(1/n) - 1

(432,798/ 205,828)^(1/8) - 1 = 10%

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Answer:

  $793

Step-by-step explanation:

The amount of money in an account earning simple interest is given by the formula ...

  A = P(1 +rt)

where P is the principal invested at rate r for t years.

__

Using the values given in the problem statement, the account balance can be found to be ...

  A = $650(1 +0.055×4) = $650×1.22 = $793

There will be $793 in the account after 4 years.

Answer:

4x - 4

Step-by-step explanation:

Step-by-step explanation:

Answer:

the answer is 28 minutes

Answer:

8x

Step-by-step explanation:

To do this we simply add the coefficients of x to give us our answer:

3 + 5 = 8

So our answer is 8x

One way to put this into perspective is to imagine x is the number of apples:

If you add 3 apples and 5 apples you get 8 apples.

Always do this trick when collecting like terms in algebra.

Answer:

y = -1x + 3 or y = -x + 3 (**That is the last option which is D**)

Step-by-step explanation:

You need to do slope-intercept formula and the slope formula.

The Slope-Intercept Formula: y=mx+b

The Slope Formula: y2 - y1 / x2-x1

Your coordinates:

(-1,4) and (1,2)

2 - 4/1- (-1)

-2/2

Simplified is -1

Your "m" in the slope-intercept formula is -1

Formula: y=-1x + b

Now, you need to find the Y-Intercept which is the "b"

Using our slope-intercept formula, you need to plug in "x1" and "y1"

4 = -1(-1) + b

4 = 1 +b

4-1 = b

3 = b

So your equation is:

y = -1x + 3 or y = -x + 3

Answer:

a^2 +b^2= c^2

Step-by-step explanation:

to prove that a triangle have right angles triangle you have to use the Pythagoras theorem

Answer:

part b)

increasing: hour 1

constant: hours  2 and 4

decreasing: hours 3 and 5

part c)

non-linear

Step-by-step explanation:

Answer:

Mean: (1.5+3.8+1.3+1.6+2.9+1.4+0.9+2.3+8.4+1.3)/10 = 2.54

Lowest Number: :: 2.54 - 0.9 = 1.64 million less than mean

Highest number: :: 8.4 - 2.54 =  5.86 million more than mean mean

Answer:

The answer is: 3.48%

Step-by-step explanation:

Answer :

R = 3.48%

interset rate

Answer:

Step-by-step explanation:

He may or not be correct. It depends on the profit you make on each sundae cup compared with the profit on the other treat.  The other treat  might give a higher profit.

Omar is correct since if 50% of the

Profit is defined as the amount gained by a person or business.

Profit = Total Revenues - Total cost

Given that,

you and Omar are talking about which two frozen treats would be best to sell.

Omar claims that because 50% of the frozen treats sold in Week 1 were sundae cups, the sundae cups accounted for 50 % of the profit.

Total number of the frozen treats = 100%

If 50% of the frozen treats sold in Week 1 were sundae cups, then the profit of the frozen treats will be 50% of the total which came from sundae cups.

Hence Omar is correct.

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Answer:

x = 16/3, y = -1/9

Step-by-step explanation:

4x + 1 = 5(x-3y) - 6

3(x+6y) + 4 = 9y + 19

Simplify both equations

4x + 1 = 5x-15y - 6

-x + 15y = -7

3x + 18y + 4 = 9y + 19

3x + 9y = 15

Now multiply 3 on both sides for the first equation.

(easier for adding both equations)

-3x + 45y = -21

3x + 9y = 15

Add both equations

x cancels out

54 y = -6

y = -1/9

plug in to other equation

3x + 9y = 15

3x - 1 = 15

3x = 16

x = 16/3