find the height of the cylinder V=271.4in3​

Answer:

Center : (2,-3)

Radius : sqrt(6)

Step-by-step explanation:

Rewrite this is standard form to find the center and radius.

(x-2)^2 + (y+3)^2 = 6

From this, we can determine that the center is (2,-3) and the radius is sqrt(6)

Answer:

center is (2,-3)

Radius =[tex]\sqrt{6}[/tex]

Step-by-step explanation:

[tex]2x^2-8x+2y^2+12y+14=0[/tex]

To find out the center and radius we write the given equation in

(x-h)^2 +(y-k)^2 = r^2 form

Apply completing the square method

[tex]2x^2-8x+2y^2+12y+14=0[/tex]

[tex](2x^2-8x)+(2y^2+12y)+14=0[/tex]

factor out 2 from each group

[tex]2(x^2-4x)+2(y^2+6y)+14=0[/tex]

Take half of coefficient of middle term of each group and square it

add and subtract the numbers

4/2= 2, 2^2 = 4

6/2= 3, 3^2 = 9

[tex]2(x^2-4x+4-4)+2(y^2+6y+9-9)+14=0[/tex]

now multiply -4 and -9 with 2 to take out from parenthesis

[tex]2(x^2-4x+4)+2(y^2+6y+9)+14-8-18=0[/tex]

[tex]2(x-2)^2 +2(y+3)^2 -12=0[/tex]

Divide whole equation by 2

[tex](x-2)^2 +(y+3)^2 -6=0[/tex]

Add 6 on both sides

[tex](x-2)^2 +(y+3)^2 -6=0[/tex]

now compare with  equation

(x-h)^2 + (y-k)^2 = r^2

center is (h,k)  and radius is r

center is (2,-3)

r^2 = 6

Radius =[tex]\sqrt{6}[/tex]

The correct answer is c) C(4) = 398, which appropriately links the cost of manufacturing 4 pairs of sunglasses ($398) with the function C(x).

The function C(x) represents the cost to manufacture x pairs of sunglasses.

Given that it costs $398 to manufacture 4 pairs, we can substitute these values into the function to find which statement is accurate.

The logic behind this is simple: C(x) is typically understood to be the cost associated with producing x units.

Therefore, when x is the number of units produced, C(x) is the total cost to produce those units.

Substituting 4 into the function C(x) would give us the total cost for 4 pairs of sunglasses.

Thus, we can say C(4) = 398. This matches response option c), which states that C(4) = 398, and is therefore true.

Response options a), b), and d) all incorrectly mix up the inputs and outputs of the cost function and therefore can be disregarded.

Answer:11%

Step-by-step explanation:

A percent is always a number over 100, so 11/100 = 11%

Answer:

11%

Step-by-step explanation:

Answer:

You would roll a 6 about 20 times

Step-by-step explanation:

First you have to find the probability of rolling a 6 one time

There is one 6 and 6 total number

That is a probability of 1/6

Multiply this by the amount of times you roll the cube

1/6 * 120 = 20

The answer is 20

Answer:

13

Step-by-step explanation:

the answer is 13.

Answer is 18.03

See attached photo

Answer:

s=12pi/5

Step-by-step explanation:

S=theta*r

s=6pi/5(2)

s=12pi/5

Answer:

triangular prism

Step-by-step explanation:

the space translated will form straight lines

Answer:

a triangular prism

Step-by-step explanation:

because when a triangle forms a 3d shape it either a prism or cone since it goes backwards it is d

Answer:

-5.5

Step-by-step explanation:

Add all numbers and divide by 4 (the total amount of numbers)

10+(-27)+4+(-9)=-22

-22/4 = -5.5

-5.5

In order to find the mean, you add up all numbers and then divide by the amount of numbers

Answer:

14.75 :) please give me brainliest :)

Step-by-step explanation:

Hello There!

Mean: Average of numbers in a set of data.

STEP 1: Add the numbers up. In this case, we would add

12 + 17 + 16 + 10 + 20 + 13 + 14 + 14 + 12 + 12 + 19 + 18 = 177

STEP 2: Divide the sum of the number by the number of digits you added.

We would divide 177 "sum of numbers" by 12 "number of digits" and would

get a quotient of 14.75

The mean for this set of data is 14.75

Answer:

Surface area I'm guessing.  1,130.4

Step-by-step explanation:

The formula for the surface area of a cylinder is: 2*pi*r^2 + 2*pi*r*h.

Plug in the values given.

2*pi*10^2 + 2*pi*10*8

628 + 502.4 = 1,130.4

(If you want the most precise value, use a calculator for pi instead of just 3.14.)

ANSWER

[tex]S A = 1130.4[/tex]

square units.

EXPLANATION

The given cylinder has a height of 8 and a radius of 10.

The formula for calculating the surface area of a cylinder is

[tex]S A = 2\pi \: r(r + h)[/tex]

We substitute r=8 and h=10 into the formula to get:

[tex]S A = 2\pi \: 10(10+ 8)[/tex]

[tex]S A = 360\pi [/tex]

Or using π=3.14

[tex]S A = 1130.4[/tex]

units square.

Answer:

1 fifteenth, or 1/15

Step-by-step explanation:

If there are 3 sons multiply the fraction by 3 and then you have 12/15 because 12/15 is equal to 4/5, so the remaining is 3 out of 15, so divide that between the 3 sons and boom, 1/15th per son.  

The given range is comprised of cards with a value between 3 and 7, inclusive, and there are 4 of each from the available suits. So there are 20 cards that fit the bill.

The probability of drawing 1 such card is

[tex]\dfrac{\binom{20}1}{\binom{52}1}=\dfrac{20}{52}=\dfrac5{13}[/tex]

In a standard 52 card deck, there are 20 cards that are greater than 2 and less than 8. As such, the probability of being dealt one of these cards is 20/52, which is approximately 0.385 or 38.5%.

In a standard deck of 52 cards, there are four suits: hearts, diamonds, clubs, and spades. Each suit contains 13 cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, and King.

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Answer:

y= 1.67

Step-by-step explanation:

0.6y + 1.2 = 0.3y + 0.9 + 0.8y

0.3 = 0.5y

1.67 = y

Answer:

0.6y+1.2=0.3y-0.9+0.8y

       +0.9=        +0.9

0.6y+2.1=1.1y

-0.6y=-0.6y

2.1=0.5

y=4.2

Step-by-step explanation:

First you want to isolate the variable to one side which is exactly why I added 0.9 to both sides. Then you want to combine like terms. By combining like terms you can now distribute the variable by the value remaining, which led to me getting y=4.2

Answer:

Area: 4069.44

Circumference: 226.08

Step-by-step explanation:

The equation for the area of a circle is:

pi(r^2)

So they told us to use 3.14 for pi, the r (radius)is found by dividing the diameter (72) by 2 since

r = d/2

r = 72/2 = 36

plug this into the equation for the area of a circle:

3.14(36^2) = 4069.44

——————————————————————————————————

To find the circumference, use the equation for it:

2 x pi x r or pi x d

Let’s use the second equation, since the diameter is already given

2(3.14)(72) = 226.08

Answer:

Area is 4069.44 m². Circumference is 226.08 m.

Step-by-step explanation:

Area:

a = r²π

a = 36²π

a = 4069.44

Circumference:

c = dπ

c = 72 × 3.14

c = 226.08

Answer:

Perpendicular Lines

Answer:

Step-by-step explanation:

Perpendicular Lines

Answer:7.25

Step-by-step explanation: when you multiply 7.25 both sides the 7.25 on the left will cancel out the 7.25x leaving x = 29

Answer:

It's easier than you think

15' 3" = 14 ' 15" so the problem is:

14' 15" - 5' 6" =

9' 9"

Step-by-step explanation:

Pretty sure the answer is 9’9”

Answer: the answer is 2

Step-by-step explanation:

12 x 2 is 24

12 x 3 is 36

so it goes into 32, 2 times.

Final answer:

12 goes into 32 a total of 2 full times with a remainder of 8, which can also be expressed as 2 and 2/3 times. The calculation is done using long division.

Explanation:

The question asks how many times does 12 go into 32. This is a division problem where you need to divide 32 by 12. To calculate this, you can use long division. Dividing 32 by 12 gives you 2 with a remainder of 8, since 12 times 2 is 24 and 32 minus 24 leaves 8. Therefore, 12 goes into 32 2 full times with 8 left over, or 2 remainder 8.

Another way to express this is in terms of decimal or fractions. Since 8 is 2/3 of 12, you can also say that 12 goes into 32 2 and 2/3 times. However, if you are strictly looking for how many full times 12 can divide into 32 without considering fractions, the answer is simply 2.

Answer: I think its no correlation; the dots are scattered...

Hey there!

The answer to this would be C.

There is no correlation.

Notice that the points in the graph are all spread out so we can't draw a line of best for to represent the given data.

In order for there to be a correlation, positive or negative, we need to see a change either down or up.

Answer:

The graph of given function is shown below.

Step-by-step explanation:

The given function is

[tex]f(x)=-x^2+5[/tex]             .... (1)

We need to find the graph of the function.

The vertex form of the quadratic function is

[tex]f(x)=a(x-h)^2+k[/tex]            .... (2)

On comparing (1) and (2) we get

[tex]h=0,k=5[/tex]

It means the vertex of the function is (0,5).

The table of values is

x                 y

-2               1

-1               4

0              5

1               4

2              1  

Plot all ordered pairs on a coordinate plane and connect them by a free hand curve.

The graph of given function is shown below.

For this case we have that the point-slope equation of a line is given by:

[tex]y-y_ {0} = m (x-x_ {0})[/tex]

Where:

m: It's the slope

[tex](x_ {0}, y_ {0}):[/tex]It is a point

We have to:

[tex]m = -3\\(x_ {0}, y_ {0}): (2, -5)[/tex]

Substituting:[tex]y - (- 5) = - 3 (x-2)\\y + 5 = -3 (x-2)\\y + 5 = -3x + 6\\y = -3x+1[/tex]

ANswer:

[tex]y + 5 = -3 (x-2)\\y = -3x+1[/tex]

ANSWER

[tex]y = - 3x + 1[/tex]

or

[tex]3x + y = 1[/tex]

EXPLANATION

The equation is calculated using the formula,

[tex]y-y_1=m(x-x_1)[/tex]

where m=-3 is the slope and

[tex](x_1,y_1) = (2, - 5)[/tex]

We substitute the the values to get:

[tex]y- - 5= - 3(x-2)[/tex]

Expand

[tex]y + 5= - 3x + 6[/tex]

[tex]y = - 3x + 6 - 5[/tex]

[tex]y = - 3x + 1[/tex]

This is the slope-intercept form.

Or in standard form;

[tex]3x + y = 1[/tex]

answer: $2413.50

y=original amount of money(1+ the percent divided by 100)^the number of years is the power

we do this with the 1+ ... because the original amount plus the extra 8.25%

so the equation would be ...

y=1500(1+0.0825)^6

y=1500(1.60904218428)

y=1500(1.609) (I rounded)

y=$2413.50

Final answer:

The period of a sinusoidal function is the amount of time it takes for the function to complete one full cycle.

Explanation:

The period of a sinusoidal function is the amount of time it takes for the function to complete one full cycle. In this case, if the period of the sinusoidal function is 18, then the function will complete one full cycle every 18 units of time. This means that after 18 units of time, the function will have returned to its starting point.

For example, if we have a sinusoidal function f(x) = sin(x), then the period of this function is 2π, because it takes 2π units of time for the function to complete one full cycle. In general, the period of a sinusoidal function can be calculated using the formula T = 2π/ω, where T is the period and ω is the angular frequency.

Answer:

1 is 27

Step-by-step explanation:

The answer I believe it’s A if not try C

Answer:

Step-by-step explanation:

Divide both sides by 2.

you get

y /2=x (2) (2)

y/2 =x (4)

Divide both sides by 4

y/2

------             =   x

4

Answer:

(3, 2)

Step-by-step explanation:

Given the 2 equations

y = 2x - 4 → (1)

3x + y = 11 → (2)

Substitute y = 2x - 4 into (2)

3x + 2x - 4 = 11

5x - 4 = 11 ( add 4 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

Substitute x = 3 into (1) for corresponding value of y

y = (2 × 3) - 4 = 6 - 4 = 2

Solution is (3, 2)

Answer:

Step-by-step explanation:

this system not equation :

y=2x-4 ....(1)

3x+y=11​....(2)

put the value of y by (1)  in to (2) :

3x+2x-4 = 11

add4 : 3x+2x =15

5x=15

x=15/5 = 3

but: y = 2x-4

so :  y =  2(3) -4

y = 6-4=2

I think the answer is in the question itself

x-9

A. 2 • 4 = 8 + 3 = 11 (select)

B. 11 • 4 = 44 +15 = 59 (select only if the solution is 59; the answer was not included)

C. 5 • 4 = 20 + 7 = 27 (select)

D. 2 • 4 = 8 + 9 = 17 (do not select)

E. 3 • 4 = 12 (do not select)

A) 2d + 3 = 11 → 2d = 8 → d = 4, this is right

B) 11d + 15 → this is an expression, so no

C) 5d + 7 = 27 → 5d = 20 → d = 4, this is right

D) 9 + 2d = 16 → 2d = 7 → d = 3.5, this isn't right

E) 3d = 7 → d = 2.3, this isn't right

That means the answers are A and C

Hope this helps!!

Answer:

He can make 9 Muffins

Step-by-step explanation:

16*2.25=36

51.75 - 36=15.75  Subtract the total number of selling he made by how much he made with the brownies

15.75/1.75=9 Divide the number you got after subtracting by by how many he  is going to sell each of then

Omar made $36 from selling brownies. He made $15.75 from selling muffins, and since each muffin cost $1.75, he therefore sold 9 muffins at the bake sale.

To solve this problem, we must first find the total money Omar made from selling brownies. We do this by multiplying the price of each brownie ($2.25) by the number of brownies sold (16), which gives $36. Then we subtract this total from the total money Omar made ($51.75) to find out how much money he made from selling muffins, which is $51.75 - $36 = $15.75.

Next, we divide this amount by the price of each muffin ($1.75) to find out the number of muffins sold, as follows: $15.75 ÷ $1.75 = 9.

So, Omar sold 9 muffins at the bake sale.

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