What is the approximate volume of the sphere shown?
r= 13 inches
o 527 cubic inches
o 7327 cubic inches
o 2,9297 cubic inches
0 2,1977 cubic inches
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Answer:

[tex]W_{max}=320m\\ L_{max}=160m[/tex]

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, [tex]\implies [/tex] 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

[tex]A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2[/tex]

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

Since our function is A(L)=640L-2L², we get

plug in the value of a and b into the first formula:

[tex]L_{max}=-(640)/2(-2)\implies 160 [/tex]

[tex]A(L)_{max}=640(160)-2(160)^2\implies 51200 [/tex]

hence,the dimensions of the pen that will maximize the area are L=160m and W=51200/160=320m

and we're done!

Answer:

width (x) = 160 m

length (y) = 320 m

(refer to the attached diagram)

Step-by-step explanation:

**see attached diagram**

Let x = width of the pig pen

Let y = length of the pig pen

(where length > width)

Given:

⇒ 2x + y = 640 m

⇒ y = 640 - 2x

Area of the pig pen = width × length

⇒ f(x) = xy

Substituting y for y = 640 - 2x:

⇒ f(x) = x(640 - 2x)

          = 640x - 2x²

Now we have a function for the area of the pig pen, to find the value of x that will maximize the area, differentiate the function:

⇒ f'(x) = 640 - 4x

Set it to zero and solve for x:

⇒ f'(x) = 0

⇒ 640 - 4x = 0

⇒ 640 = 4x

⇒ x = 160

Substitute the found value of x into y = 640 - 2x to find the length:

⇒ y = 640 - 2(160) = 320

Therefore, the dimensions of the pen that will maximize the area are:

Answer:

D. (8 x 5) - (8 + 7)

Step-by-step explanation:

Evaluate the word problem.

The difference (we will be subtracting.) between the product of 8 and 5 (8 * 5) and the sum of 8 and 7 (8 + 7)?

So set it up.

(8 * 5) - (8 + 7)

This is the correct answer because we are taking the difference of the product of 8 and 5 and the sum of 8 and 7.

Answer:

125y3

Step-by-step explanation:

12x5=y

y3/2 = y26 - 5 =y

Answer:

D should be right

Step-by-step explanation:

Answer:

y = 2x + 9

Step-by-step explanation:

Y = mx + b indicates slope-intercept equation.

"b" represents y -intercept/beginning.

"mx" represent slope/constant of variation/rate of change

x-intercept represents the end of the graph. (in stories using money its the ending amount).

The y-intercept is always when the x-value is 0. The point of the y-intercept is on the y-axis. The line on the graph starts at the point (0,9). It can be located on the point right above the number labeled under the 9 which is 8. Since the x-value is 0,

The y-intercept is 9.

To find the slope, we have to find two points on the graph to use.

Two points on the graph are:

(1.5, 13) , (2, 14)

Using the slope formula:

y2-y1/x2-x1

Plug in:

14-13/2-1.5

Complete:

1/0.5

divide:

The numbers in 1 divided by 1/2 are labeled below:

1 = whole number

1 = numerator

2 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

1 x 2/1  = 2/1

Thus, the answer to 1 divided by 1/2 in fraction form is:

2/1

To make the answer to 1 divided by 1/2 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

2 / 1 = 2

The answer is rounded to the nearest two decimal points if necessary.

2/1 is an improper fraction and should be written as 2.

So now that we have the y-intercept and slope:

Y-intercept: 9

Slope: 2

Equation: y = 2x + 9

Terms: Linear Equations 8th Grade

Answer:

Step-by-step explanation:

Answer:26

Step-by-step explanation:

Answer:

-25

Step-by-step explanation:

f(-12) means x = -12

so you just plug it in the equation and solve for x

[tex]f(x) = 3(-12)+11\\f(x) = -36+11\\f(x) = -25[/tex]

Answer:

3 I think

Step-by-step explanation:

1/3 opposite is 3/1 or 3

Answer:

C

Step-by-step explanation:

Y=2(-1)+3

y=-2+3

y=1

true

Answer:

Dimensions are nine by nine, the diagonal is the square root of 162.

Step-by-step explanation:

The resulting square will have the same width as before, with a height to match, (9,9) The diagonal can be found using the pathagyreon theorom.

9^2 + 9^2 = x^2.

The dimensions of the square would be nine by nine, the diagonal is the square root of 162.

The square will have the same width as before, with a height to match, (9,9)

The diagonal can be found using the Pythagorean theory.

9^2 + 9^2 = x^2.

This theorem states that the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.

The Pythagorean Theorem is a useful tool that shows how the sum of the areas of three intersecting squares can determine the side lengths of a right triangle.

Learn more about Pythagorean Theorem here:https://brainly.com/question/231802

#SPJ2

Answer:

7.5%

Step-by-step explanation:

Answer:

15 miles

Step-by-step explanation:

You know that there are 8 kilometres in 5 miles, so:

120/8=15

Answer:

Clair,  since there isn't an attached picture, we don't know some info

Step-by-step explanation:

but here is how you can figure this out....

they tell use to give 6 inches on each side of the door,  so the total width of the logo can be 2 feet wide. Because the door is 3 feet wide.   Now use that to find the height.   find the height to width ratio of the logo,   so if the logo is 4 feet wide and 6 feet tall it's 6/4 or  1.5   ratio, use that and multiply by the 2 that we know the width can be on the door.    so  2*1.5 = 3.   the height of the logo would be 3 feet tall and 2 feet wide on the door.  see?

just find the ratio of the logo, and multiply that by 2  :)  to find the height on the door,  got it?

Answer:

Step-by-step explanation:

Answer:

25 Percent of tickets were early admission.

Step-by-step explanation:

We apply the percentage formula to solve this problem.

Total Ticket Amount * Percentage = Early tickets

We plug in our values

32 * x/100 = 8

Simplify

X=25

Answer:

25%

Step-by-step explanation:

8 out of 32 can be simplified to 1 early admission for every 4 tt (total tickets). 1/4 can be changed into a decimal which is .25, and  .25*100 is 25%

Answer: They intersect at [tex](2\frac{1}{6}, \frac{1}{3} )[/tex]

Step-by-step explanation:

We can solve this system of equations through elimination

Add (4x+y=9) with (2x-y=4)

[tex]4x+y=9\\+2x-y=4\\=\\6x+0=13[/tex]

Now that y is canceled out we can solve for x

[tex]6x=13\\\frac{6x}{6}=\frac{13}{6} \\x=2\frac{1}{6}[/tex]

Now sub back x into one of the original equations to find the value of y

[tex]4(2\frac{1}{6} )+y=9\\8\frac{2}{3} +y=9\\8\frac{2}{3}-8\frac{2}{3}+y=9-8\frac{2}{3}\\y=\frac{1}{3}[/tex]

Answer:

[tex]\displaystyle 2\:in.[/tex]

Step-by-step explanation:

[tex]\displaystyle {\pi}r^2 = A \\ \\ \frac{{\pi}r^2}{\pi} = \frac{4\pi}{\pi} \hookrightarrow \sqrt{4} = \sqrt{r^2} \\ \\ \boxed{2 = r}[/tex]

I am joyous to assist you at any time.

Answer:

Step-by-step explanation:

Remark

The way this is written, the notation is directing you to add the right hand sides of the two given polynomials.

Givens

f(x) = 2x^3 + 3x^2 + 7x + 2

g(x) =                        2x - 5                Add

Solution and Answer

Answer: (f + g)(x) = 2x^3 + 3x^2 + 9x -3

Be careful with that - 5. The result is -5 + 2 = - 3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

Answer: It's (f+g)(x)=2x^3+3x^2-5x+3

Step-by-step explanation: I just did it.

Answer:

B. 9 cubic units

Length×width×height

Answer:

= 12 : 18

Step-by-step explanation:

• 18 - 6 = 12

• girls = 12

• total students = 18

• girls to total students

= 12 : 18

Answer:

12:18

Step-by-step explanation:

Answer:

B) Graph B

Step-by-step explanation:

A: based on the given dot plot are: statements B, D, and E.

B:  A. No. 74 is not an outlier because it is not different from the other heights in the dot plot.

In a dot plot, frequencies of each data point is represented as dots.

Part A:

Thus, in the dot plot given:

Players of 70 1/2 in. tall and above are 7 in number. This is half of the number of the total players. (option B is true).

Players with height of 69 1/2 in. (3 players) are more than those that are 70 in. tall (1). (option A is not true).

One of the player is 68 1/2. (option C is not true).

Four of the players are 74 in. tall (option D is true).

The team has 6 different heights as shown in the dot plot given (option E is correct).

Therefore, the statements that are correct based on the given dot plot are: statements B, D, and E.

Part B:

If a player of 73 in. tall replaces a player of 71 in, tall, 73 is close to 74.

Therefore, we can conclude that: A. No. 74 is not an outlier because it is not different from the otehr heights in the dot plot.

Learn more about dot plots on:

https://brainly.com/question/25957672

Answer:

the answer to 33 is 8 7×8=56 or 56÷7

all even numbers

hope it really helps...!!!

Answer:

all even numbers. because when divisible by two there is no reminder

Answer:

[tex]x=\frac{28}{9}[/tex]

Step-by-step explanation:

[tex]\frac{3x}{4} =\frac{7}{4}[/tex]

[tex]\Longleftrightarrow \left( 3x\right) \times 3=7\times 4[/tex]

[tex]\Longleftrightarrow 9x=28[/tex]

[tex]\Longleftrightarrow x=\frac{28}{9}[/tex]

Answer:

the mean is the middle value of the data set.

Step-by-step explanation:

the mean is the average of all the data, so i would say the last statement is incorrect.

Answer:

the mean is the middle value of a data set

[tex]x = 4 \cos(a) [/tex]

[tex] \frac{x}{4} = \cos(a) \\ [/tex]

[tex]( { \frac{x}{4} })^{2} = ({ \cos(a) })^{2} \\ [/tex]

[tex] \frac{ {x}^{2} }{16} = {cos}^{2} (a) \\ [/tex]

_____________________________________________

[tex]y = 5 \tan(a) [/tex]

[tex] \frac{y}{5} = \tan(a) \\ [/tex]

[tex]( { \frac{y}{5} })^{2} = ( { \tan(a) })^{2} \\ [/tex]

[tex] \frac{ {y}^{2} }{25} = {tan}^{2} (a) \\ [/tex]

_____________________________________________

Thus ;

[tex] \frac{ {x}^{2} }{16} - \frac{ {y}^{2} }{25} = \\ [/tex]

[tex] {cos}^{2} (a) - {tan}^{2} (a)[/tex]

Answer:

23.53%

Step-by-step explanation:

Given :

Solving :

Answer:

Yes you are

Step-by-step explanation:

case as) the repeating decimal is 36

Multiply x by a power of  , one that keeps the decimal part of the number the same:

Subtract  from

The repeating decimals should cancel out

solve for x

Divide by  both sides

Simplify

Divide by  both numerator and denominator

therefore

the answer case a) is

The fraction in easyiest form is

case b) the repeating decimal is 136

Let

Multiply x by a power of, one that keeps the decimal part of the number the same:

Subtract  from

The repeating decimals should cancel out

solve for x

Divide by  both sides

-----> irreducible

therefore

the answer case b) is

The fraction in simplest form is

136/999