3x2 + 7x + 2 how to factor
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The volume of the cone is 144π units³

Given,

Radius of cone (r) = 4

Height of cone (h) = 27

The volume of a cone is defined as the amount of space occupied by a cone in a three-dimensional plane.

∵ Volume of the cone (V)=1/3πhr²

Substitute the values of h and r,

V = 1/3π(27)(4)²

V = 144π units³

Hence, The volume of the cone is 144π units³

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it will most likely be red

Red

The simplified ratio is for every 1 blue marble there is 2.75 red marbles. Do you are more likely to pull out red.

Answer:

Step-by-step explanation

If breadth =x

Length =2x

Perimeter = 2x +x +2x+x

36=6x

X=6

Therefore breadth =6

Length =12

The question asks about finding the length and width of a rectangle given its perimeter. By setting up and solving an equation, we found that the rectangle's width is 6 inches, and its length is 12 inches.

Given that the length of a rectangle is 2 times its width, and the perimeter of the rectangle is 36 inches, we are asked to find the length and width of the rectangle. We can start by defining the width as 'w' and the length as '2w'. The formula for the perimeter of a rectangle is 2(length + width). We can substitute our definitions of length and width into this formula to get 2(2w + w) = 36. Simplifying this gives 3w = 18, so the width is 6 inches. Therefore, the length is 2 × 6 = 12 inches.

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Step-by-step explanation:

Half of 20 is 10.

18 percent of 20 is 3.6

20-13.6 is 6.4 so she spent

6 dollars and 40 cents on rides

Answer:

d

Step-by-step explanation:

divide the miles by the time

283 divided by 5 is 56.6 which is the greatest so it is the fastest

A. $27.23

B. $ 467.77

Complete Question goes thus

Lin is shopping for a couch with her dad and heard him ask the salesperson “how much is your commission?” The salesperson says that her commission is 5½% of the selling price.

A.How much commission will the salesperson earn by selling a couch for $495?

B.How much money will the store get from the sale of the couch?

Answer:

a. The total commission is $27.28

b. The store will get $468.72 from the sale of the couch

Step-by-step explanation:

a.

Commission can be referred to as the reward given by the company on goods for the employee to sell products in order to make more sales and more money.

Commission is calculated as follows:

Total commission = Total Sales * Commission Percentage

Given

Total Sales = $495

Commission Percentage = 5½%

Substitute in, the above values

Total Commission = $496 * 5½%

Total Commission = $496 * 5.5%

Total Commission = $496 * 0.055

Total Commission = $27.28

Hence, the total commission is calculated as $27.28

b. The amount remitted to the store is calculated as

Amount = Total Sales - Total Commission

Where Total Sales = $496

Total Commission = $27.28

Amount = $496 - $27.28

Amount = $468.72

Hence, the store will get $468.72 from the sale of the couch

1) The sum of an Octagon is 1080°

And all it's sides are congruent (same size, same angle measure)

And an Octagon has 8 sides

So do,

1080 ÷ 8 = 135°

Each side equals to 135°

2) A triangle adds up to 180°.

We have one angle that's 45° and another angle that has a little □ in it.

That little square (□) is called a right angle which = 90°

So do

90 + 45 = 135

180 - 135 = 45

So the value of x is 45°

Answer:

C

Step-by-step explanation:

If we're assuming the graph is linear, we can see that every 1 x value it goes up, the y value is upped by 4.

6+4=10

So therefore the value of y in (3,y) is 10.

Answer:

do what you want

Step-by-step explanation:

Answer

Maybe you can ask a good question that can help you?

Answer:

v = -20.48

Step-by-step explanation:

v/4 + 1 = -4.12

v/4 = -5.12

v = -20.48

Answer:

I gave you the first step(s) for solving it, now learn. Comment on this if you still don't get it.

Step-by-step explanation:

Solve -2x+7 first

then 5x+4

then 2x-6

Answer:

x= -9

Step-by-step explanation:

-2x+7+5x-4=2x-6

first you need to combined like term

3x + 3         = 2x-6

     -3                 -3

  3x             = 2x-9

  -2x              -2x

    1x             =  -9

     1x is x and x equal -9

Answer:

The negative counterpart

Step-by-step explanation:

x * -1 = -x

For example, 3 * -1 = -3

Hope this helps.

Product of any integer and -1 is negative/positive integer.

For example:

2 • -1 = -2, but

-2 • -1 = 2.

Step-by-step explanation:

He has 15 total shirts. 9+6. So P(Dress shirt) is  6/15 or 2/5 or 40 percent.

Answer:

Its the point (3, 2).

Step-by-step explanation:

x^2 + y^2 = 13

2x - y = 4

From  the second equation  y = 2x - 4 so substituting in first equation:

x^2 + (2x - 4)^2 = 13

x^2 + 4x^2 - 16x + 16 = 13

5x^2 - 16x + 3 = 0

(5x - 1 )(x - 3) = 0

x = 0.2, 3.

Substitute x = 3 in the second equation:

2(3) - y = 4

y = 6 - 4 = 2.

3.00936e19 is the answer

Add everything up together it equals 6/10 in simplest form it would be 3/5

Answer:

A) 7x + (-2)

B) 2x + (-12)

C) 4x + (-16)

D) 6x - 4

Step-by-step explanation:

A=

(-1) + 4x + 2 + 2x + x

7x + (-1) + 2

7x + (-2)

B=

-8x + 4 + (-3) + 10x

2x + 4 + (-3)

2x + (-12)

C=

(-4) + 1x (Squared) + 3x + 4

(-16) + 1x (Squared) + 3x

(-16) + 1x + 3x

4x + (-16)

D=

2(3x - 2)

(6x - 4)

6x - 4

Answer:

C

Step-by-step explanation:

A proportional graph is a line. Every line has a slope. The slope is found by subtracting two points as a ratio. The line has points (0,0) and (2,6).

6-0 = 6

2 -0 = 2

The ratio is vertical over horizontal so 6/2 = 3.

The equation is y = 3x.

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Answer:

Step-by-step explanation:

The given graph show a proportional relationship that it's modelled by a linear equation. We can make all the process to calculate the equation that belongs to that behaviour. We just have to find the slope:

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}} \\m=\frac{18}{6}=3[/tex]

Using the slope interception formula: [tex]y=mx+b[/tex]

[tex]y=3x+0[/tex]

Because the interception with the vertical axis is null, so the equation would be:

[tex]y=3x[/tex]

Therefore the answer is C.

Answer:

The answer is B. 10.5 feet

Step-by-step explanation:

In every one yard there's three feet.

3.5 X 3 = 10.5

Hope this helps :)

The quadratic formula was made by Muhammad al-khwarizmi.

A quadratic inequality is a function whose degree is 2 and where the y is not always exactly equal to the function. Al Khwarzmi created the quadratic equation but Pythagoras and Euclid created a general procedure to find solutions of the quadratic equation. The Greek mathematician Diophantus solved the quadratic equation in his work Arithmetica,  but giving only one root, even when both roots were positive.

Answer:

"The diameter of the bacterium is 10 times greater than that of the virus."

Step-by-step explanation:

Size of bacteria is 10^-6

Size of virus is 10^-7

Definitely the bacteria is larger. How many times larger? We find that by dividing the diameter of bacterium by the diameter of virus.

Let's do this:

[tex]\frac{10^{-6}}{10^{-7}}\\=\frac{0.000001}{0.0000001}\\=10[/tex]

Hence, the bacterium is 10 times larger than the virus

Answer:

I got A) "The diameter of the bacterium is 10 times greater than that of the virus."

Step-by-step explanation:

Answer:

[tex]m<1=99\°[/tex]

[tex]m<2=81\°[/tex]

[tex]m<3=86\°[/tex]

[tex]m<4=86\°[/tex]

[tex]m<5=86\°[/tex]

[tex]m<6=94\°[/tex]

Step-by-step explanation:

Part 1) Find the measure of angle 1

we know that

[tex]m<1+81\°=180\°[/tex] -----> by supplementary angles

[tex]m<1=180\°-81\°=99\°[/tex]

Part 2) Find the measure of angle 2

we know that

[tex]m<2=81\°[/tex] -----> by alternate exterior angles

Part 3) Find the measure of angle 3

we know that

[tex]m<3=86\°[/tex] -----> by vertical angles

Part 4) Find the measure of angle 4

we know that

[tex]m<4=86\°[/tex] ------> by corresponding angles

Part 5) Find the measure of angle 5

we know that

[tex]m<5=m<4[/tex] -----> by vertical angles

so

[tex]m<5=86\°[/tex]

Part 6) Find the measure of angle 6

we know that

[tex]m<5+m<6=180\°[/tex] -----> by supplementary angles

we have

[tex]m<5=86\°[/tex]

substitute

[tex]86\°+m<6=180\°[/tex]

[tex]m<6=180\°-86\°=94\°[/tex]

Answer:

151

Step-by-step explanation:

The relative frequency of an item is calculated by dividing the item’s frequency by total frequency.

Relative Frequency=f/(∑f)

Since we know the relative frequency of peanut butter flavored treats and total number of treats, we can use both the values to calculate the frequency of peanut butter flavored treats

Putting the value of relative frequency of peanut butter flavored treats and total frequency in the above formula

0.302=  f/500

f=0.302*500

f=151

Answer:

-q+1(x+8)

Step-by-step explanation:

It is this because (x+8) is the same so you just add the numbers+variables that x+8 is being multiplied.

Hope this helped

Answer:

.5/q+4

Step-by-step explanation:

[tex]3d = \sqrt{d + 5} \: is \: a \: radical \: equation[/tex]

[tex]3d = \sqrt{d+5}[/tex] is a radical equation.

A radical equation is an equation in which a variable is under a radical.

According to the given question.

We have some equation in variables d, n, and h.

If we see the given equation only the equation [tex]3d = \sqrt{d+5}[/tex] is a radical equation because this is a equation in variable d and its variable is under radical sign(√).

And the other equations are not radical equations because no single variable of the given equations is under radical sign(√).

Hence, [tex]3d = \sqrt{d+5}[/tex] is a radical equation.

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Answer:

Step-by-step explanation:

[tex]a_{1} = 8\\a_{9} = 360 = a_{1} \cdot r^9 = 8 \cdot r^9\\r = \sqrt[9]{\frac{360}{9} }  \cong 1.53[/tex]

By the formula of a geometric series:

[tex]S_{n} = a \cdot \frac{1-r^n}{1-r} => S_{19} = 8 \cdot \frac{1-1.53^{19}}{1-1.53}  = 6091.54[/tex]

Answer:

r = 1.6

a19 = 37800

Step-by-step explanation:

First term [tex] a_1 = 8 [/tex] and [tex] a_9 = 360 [/tex] of a geometric sequence and we are to find the 19th term along with the common ratio for this sequence.

We know that the general term of a Geometric Sequence is given by:

[tex]a_n= a \cdot r^{n-1}[/tex]

where [tex]a_n[/tex] is the nth term, [tex]a[/tex] is the first term, [tex]n[/tex] is the number of terms and [tex]r[/tex] is the common ratio.

Substituting the given values in the above formula to get:

[tex]360 = (8)*(r)^(9-1)[/tex]

[tex]360 = 8*(r^8)[/tex]

[tex]r^8 = \frac{360}{8}[/tex]

[tex]r^8 = 45[/tex]

r = 1.6

Finding the 19th term:

[tex]a_n= a \cdot r^{n-1}[/tex]

[tex]a_{19}= 8 \cdot 1.6^{19-1}[/tex]

a19 = 37800

Answer:

Mean = 2.95

Median = 3

Step-by-step explanation:

The mean of the number of visits of 40 adults to the gym is

[tex]\dfrac{0\cdot 4+1\cdot 3+2\cdot 12+3\cdot 5+4\cdot 8+5\cdot 5+6\cdot 2+7\cdot 1}{40}=\\ \\=\dfrac{3+24+15+32+25+12+7}{40}=\dfrac{118}{40}=2.95[/tex]

The median of the data is the average number between 20th and 21th terms (because 40 is even number, so the middle term is the average between two middle terms).

20th term = 3 visits

21th term = 3 visits

Hence, median is 3 visits

That's correct is C, thanks

Answer:

the answer is C

Step-by-step explanation: