The table shows the function representing the height in the area of the base of a rectangular prism for different values of X the volume of the prism when X = 3 is 36 which equation can be used to represent the volume of the prism, v(x)?

Answer:Area=258cm square

Step-by-step explanation:

Length:9 cm

Width:5 cm

Height:6 cm

=A=2[wl+hl+hw]=2.[5.9+6.9+6.5]=258 cm square

Answer:

[tex]\frac{2(3)+6^2}{6} =42/6=7[/tex]

Answer:

7

Step-by-step explanation:

plug in the values of the variables and use order of operations.

2·3+6^2/6

2·3+36/6

6+36/6

42/6

7

Answer:

V = 1206.3 [tex]ft^{3}[/tex]

Step-by-step explanation:

This shape is made up of a cylinder on the bottom and a cone on the top. We'll find the volumes of these shapes separately and then add them together.

Volume of a cylinder = area (of the base) x height

Substitute in the formula for the area of a circle.

V(cylinder) = [tex]\pi[/tex][tex]r^{2}[/tex] x h

Substitute in the values for the radius (8) and height (4)

V(cylinder) = [tex]\pi[/tex] x [tex]8^{2}[/tex] x 4

Evaluate using a calculator

V(cylinder) = 804.2477

To the nearest tenth, V(cylinder) = 804.2

Volume of a cone = [tex]\frac{\pi r^{2}h }{3}[/tex]. This is the area of the circular part of the cone ([tex]\pi r^{2}[/tex]), multiplied by the height from the point to the base, all divided by 3.

Substitute in the values for the radius of the circle (8) and the height (6)

V(cone) = [tex]\frac{\pi 8^{2} 6 }{3}[/tex] (On the top it's [tex]\pi[/tex] x [tex]8^{2}[/tex] x 6)

Evaluate using a calculator

V(cone) = 402.1239

To the nearest tenth, V(cone) = 402.1

Total volume = V(cylinder) + V(cone)

= 804.2 + 402.1

= 1206.3 [tex]ft^{3}[/tex]

Answer:

Below in bold.

Step-by-step explanation:

A horizontal line has zero slope and a vertical line undefined

In order they are: Zero, undefined, negative positive

Answer: The first one is zero, the second one is undefined, the third one is negative, and the fourth one is positive.

Step-by-step explanation:

Answer:

  (d)  Adjacent angles share a side.

Step-by-step explanation:

Adjacent angles share a side and a vertex, but do not share any interior points. The appropriate choice is ...

  Adjacent angles share a side.

Answer: D:  Adjacent angles share a side

Step-by-step explanation: Hope that helped

Answer:

Over the interval [2, 4], the local minimum is –8,Over the interval [1, 3], the local minimum is 0,and Over the interval [3, 5], the local maximum is 0.

Step-by-step explanation:

Answer:

B,C,D

Step-by-step explanation:

Answer:

α = 12°

L = 6.28 ft

[tex]A = 94.25 ft^2[/tex]

Step-by-step explanation:

The wheel contains 30 cars attached to it.

The wheel is in the shape of a circle and a circle has 360°.

Therefore, the angle between any two cars will be:

360 / 30 = 12°

The length of the arc between two cars is given as:

[tex]L = \frac{\alpha }{360} * 2\pi R[/tex]

where α = central angle of sector

R = radius of circle

Given that the radius of the wheel is 30 feet, the length of the arc is:

[tex]L = \frac{12}{360} * 2 * \pi * 30\\\\L = 6.28 ft[/tex]

The area of a sector is given by:

[tex]A = \frac{\alpha }{360} * \pi R^2[/tex]

Therefore, the area of the sector between any two cars is:

[tex]A = \frac{12}{360} * \pi * 30^2\\\\A = 94.25 ft^2[/tex]

Answer:

5

Step-by-step explanation:

5677777273882828282929929282828828828×4=5

answer:

2*4

explanation:

2*4=8.000000000000000000000000

Answer:

220 meters=22000 centimeters

Step-by-step explanation:

Hope this helps!!! :)

Answer:

y = 3x - 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 4 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, thus

y = 3x + c ← is the partial equation

To find c substitute (2, - 3) into the partial equation

- 3 = 6 + c ⇒ c = - 3 - 6 = - 9

y = 3x - 9 ← equation of parallel line

Answer:

-1 /24

Step-by-step explanation:

-7/8 - (-5/6)

Subtracting a negative is like adding

-7/8 + 5/6

Get a common denominator

-7/8 * 6/6    + 5/6 *8/8

-42/48 + 40/46

-2/48

-1/24

Answer:

4. [tex]11.333...[/tex]

Answer:

Answer is  (4) -11.333

Step-by-step explanation:

multiply : 2x /12-4/3= 4x /15 -1/5

bring variable on one side :

2x/12 -4x/15= 4/3 - 1/5

common denominator : -6x/60=17/15

simplify : -x/10= 17/15

x= - 170/15= -11.3333

Answer:

40.01 lb

Step-by-step explanation:

mean:

(45.5+61+37.2+16.34)/4

160.04/4

40.01

Answer:

40.01

Step-by-step explanation:

First add all of the weights together and it should give you 160.04 divide that by 4 children and there is your answer

Answer:

[tex]\frac{4}{6}[/tex]

Step-by-step explanation:

or 4 over 6

Answer:

$2.50

Step-by-step explanation:

67.50/27 = 2.50

Answer:

$2.50

67.50/27 = 2.50

Step-by-step explanation:

Answer:

16x

Step-by-step explanation:

What goes in the box is

4x * 4

16x

Answer:ogros reconocer a negra denda como el me de una sumatoria que permite calcular ... Como vimos, entre más subdivisiones del intervalo tomemos, mejor será la ... que la aproximan y luego determinar a qué valor tiende el área cuando n ... n k=1 1 ( kYo 1 - — lí X +- o = + (Vé ejemplo 8. a-na-n X () 3 (véase e eje plo 8.)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Starts with 2

2 x 2 = 4

4 x 2 = 8

8 x 2 = 16

and so on

Answer:

Answer is B

Step-by-step explanation:

C) -1 seconds is back into the past by 1 second, which makes it wrong

A) 19 seconds for a ball to be in the air? That's too long

D) 1 Second isn't enough for the ball to either go through the hoop or do anything unless he just let it go from the height of the hoop.

Answer:

g( f(2)+3) = 30

Step-by-step explanation:

step(i):-

Given function  g(t)=t²-t and f(x)=1+x

given f(x)=1+x

         f(2) = 1 + 2 =3

step(ii):-

g( f(2)+3) = g(3 + 3)

              = g(6)

             = (6)² - 6

             = 36 -6

             = 30

Conclusion:-

g( f(2)+3) = 30

Answer:

-1/3 I think

Step-by-step explanation:

I find the slope by finding 2 points where the line hits. I then just count up and across. Could be wrong :/

Hope this helps though :)

Answer:

slope = y2-y1

x2- x1

= 4-2 = 2

6-0. 6

= 1/3

Answer:

2, and 4 and 5 are possible solutions.

Step-by-step explanation:

It's not confirmed that 4 and 5 are, but they could be. 2 is a definite, unless E=.002 or something like that.

Answer:

Step-by-step explanation:

x = 0.12613537

Answer: (2 1/2, 0) (the last option)

Step-by-step explanation:

I guess the function is:

f(x) = (2  1/2) - (3  1/2)*x

now, the rule for f-1(x) that we know is:

f-1( f(x) ) = x.

So if we want to find the x-intercept of f-1(x), we must evaluate it in f(0)

f-1(f(0)) = 0.

And we have that f(0) = (2  1/2) - (3  1/3)*x = 2  1/2

This means that the x-intercept of f-1(x) will be when x= 2  1/2, so the intercept is:

(2 1/2, 0)

Answer: the answer is D

Step-by-step explanation:

big fat smelly ballsack

Answer:

Base = 35 inch

Step-by-step explanation:

Given that the triangle is an isosceles triangle;

The length of the two sides is: 12b - 8

The length of the base is: 9b + 8

Perimeter = 91 inches

Required

Calculate the length of the base;

The perimeter of a triangle is gotten by adding the length of the three sides.

So, in this case; we have

[tex]Perimeter = 12b - 8 + 12b - 8 + 9b + 8[/tex]

Collect like terms

[tex]Perimeter = 12b + 12b + 9b - 8 - 8 + 8[/tex]

[tex]Perimeter = 33b - 8[/tex]

Substitute 91 for Perimeter

[tex]91 = 33b - 8[/tex]

Add 8 to both sides

[tex]91 + 8 = 33b - 8 + 8[/tex]

[tex]99 = 33b[/tex]

Divide both sides by 33

[tex]\frac{99}{33} = \frac{33b}{33}[/tex]

[tex]3 = b[/tex]

[tex]b = 3[/tex]

Recall that the base of the triangle is 9b + 8

Base = 9b + 8

Substitute 3 for b

Base = 9(3) + 8

Base = 27 + 8

Base = 35 inch

Answer:

y=-5/2x-1/2

Step-by-step explanation:

HOPE THIS HELPS:)

STAY SAFE:)

Answer:

The equation for the new line in slope-intercept form is:  

[tex]y=4x+2[/tex]

Step-by-step explanation:

Since they give us an equation in slope-intercept form "y=4x+5", it is easy to extract the slope the new parallel line to this should have : "4" (same slope as the reference line)

We are also given a point the new line should go through : "(1, 6)"

So we can use the "point-slope" form of a line to find the equation of this new line:

[tex]y-y_0=m(x=x_0)\\y=m(x-x_0)+y_0[/tex]

which for our case is:

[tex]y=m(x-x_0)+y_0\\y=4\,(x-1)+6\\y=4x-4+6\\y=4x+2[/tex]

Answer:

The answer is A I'm pretty sure

Answer is A.

Hope this helps.

Answer:

So if we do this to the area of Scott's shape, the result will be less than 30 squares units.

Step-by-step explanation:

If a shape has "x" square units, it means that we can fit that number of squares with side length of one unit in that given shape. For the case where we change the unit, we are changing the length of the square's sides, if the new one has greater sides, then it means that the square is bigger, therefore for the same shape we will be able to fit less squares. So if we do this to the area of Scott's shape, the result will be less than 30 squares units.

Answer:

de for the second

Step-by-step explanation:

Answer:

Step-by-step explanation:

an  altitude   -  a ( forms with a line an angle of 90 degrees)

a perpendicular bisector-  c ( divide the line in 2 equal parts and it is perpendicular on  the line)

an angle bisector  - d ( divide the angle in 2 equal parts)

a median - b ( a segment between an angle and the middlepoint of the opposite line)