13: 3 Simplify the left side of the eq 106.​

Answer:

It can hold up to [tex]1.256ft^3[/tex] of waste

Step-by-step explanation:

Given

[tex]D = 1.5ft[/tex] -- Diameter

[tex]h = 1.6ft[/tex] -- height

Required

Determine the amount of waste it can hold

This simply means that we calculate the volume of the cylindrical container.

And this is calculated using:

[tex]Volume = \pi r^2h[/tex]

Where

[tex]\pi = 3.14[/tex]

and

[tex]r = \frac{D}{2}[/tex]

[tex]r = \frac{1.5}{2}[/tex]

[tex]r = 0.75[/tex]

So, we have:

[tex]Volume = 3.14 * 0.5^2 * 1.6[/tex]

[tex]Volume = 1.256ft^3[/tex]

Hence, it can hold up to [tex]1.256ft^3[/tex] of waste

The amount of waste a cylinder can hold nearest to the whole number is 3 cubic feet.

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

A cylindrical hazardous waste container has a diameter of 1.5 feet and a height of 1.6 feet.

The amount of waste a cylinder can hold will be given by the volume of the cylinder.

The volume of the cylinder will be

[tex]\rm Volume = \dfrac{\pi}{4} d^2 h[/tex]

We have

d = 1.5 ft

h = 1.6 ft

Then

[tex]\rm Volume = \dfrac{\pi}{4} * 1.5^2 * 1.6\\\\\rm Volume = \dfrac{\pi}{4} *2.25 * 1.6\\\\\rm Volume = 2.82 \approx 3 \ ft^3[/tex]

More about the cylinder link is given below.

https://brainly.com/question/3692256

Answer:

r < -18

Step-by-step explanation:

-5r+2r is greater than 54 can be written symbolically as:

-5r+2r > 54

Combining the r terms, we get:

-3r > 54

Solving this result for r requires reversing the direction of the inequality sign:

r < -54/3, or r < -18

Answer:

r < -18

Step-by-step explanation:

[tex]-5r+2r > 54\\\\\rightarrow \text{Greater Than - } >\\\\\\\text{Combine the Like Terms}\\\\-5 + 2 = -3\\\\\text{So:}\\\\-5r+2r=-3r\\\\\\-3r>54\\\\\text{Divide by -3: }\\\\\frac{-3r>54}{-3}\\\\\boxed{r<-18}\\\\[/tex]

We switch the inequality sign if we multiply or divide both sides of the inequality by a negative number.

Hope this helps.

Answer:5, 6, 7, 8, or 9.

Step-by-step explanation:

Answer:

100;105;110;115;120;125;130;135;140;145;150;155;160....

Step-by-step explanation:

Answer:

100, 105, 110, 115, 120, 125, 130 135 140 145 150 155 160 165 170 175 180 185 190 195 200

Step-by-step explanation:

Answer:

1. 16.86 or 16[tex]\frac{6}{7}[/tex] miles per gallon.

2. 2.46 tanks of gas

Step-by-step explanation:

1. 354 ÷ 21= 16.86

To find the slope-intercept form

 --> we need to find the slope

 --> we need to find the y-intercept

         The point at which the x-coordinate equals zero

Let's find the slope

 --> let's pick any two pair of points

       (0, -3) & (6, 0)

           (x1, y1) ==> (0, -3)

           (x2, y2) ==> (6, 0)

 --> our slope formula is:

           [tex]\text{Slope}=\dfrac{0--3}{6-0}=\dfrac{3}{6}=\dfrac{1}{2}[/tex]

Let's find our y-intercept

 --> based on the definition, '-3' is our y-intercept

Let's plug in our slope & y-intercept in the slope-intercept form:

  [tex]y=\dfrac{1}{2}x-3[/tex]  <== Answer

Answer:

x = -1

y = 7

Step-by-step explanation:

We have a system of equations and are asked to solve using substitution.

y = -7x

2x - y = -9

Since we have an equation for y by itself, we can plug the first equation into the second.

2x - (-7x) = -9

Distribute :

(-(-7x))

2x + 7x = -9

Add like terms :

9x = -9

Divide 9 by both sides to get x :

x = -1

Now that we know x, we can plug it into the first equation to find y :

y = -7(-1)

y = 7

Answer:

d= -16t^2 + 12

Step-by-step explanation:

2.1    Factoring    d + 16t2 - 12

Answer:

t=3/8+-(sqr)9-4d/8

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Step-by-step explanation:

<1+<2=180

<2+<3=10

<1+<2=<2+<3=180

<2

<2

Answer:

506

Step-by-step explanation:

Answer:

x - 5

Reason

8 - 5 = 3

3 - 5 = -2

-2 - 5 = -7

Answer:

1

Step-by-step explanation:

if it was 10 it would be 2, but it isnt. and it cant be a number with a decimal cause i would be surprised if a math problem has it where you cut people in half or portions

Step-by-step explanation:

Unit rate means divide so divide the oz by the cost. Which one is the better cost

Answer:

nothing is there?

Step-by-step explanation:

Answer:

please there is no question

Step-by-step explanation:

where are the questions

Answer:

0.5

planation:

9/18  = 0.5

If you write the problem out x will represent the missing number

9 ÷ x = 18

You can write it as 9 ÷ 18

which is 0.5

The problem is asking what is 9 divided by to get 18

162 . . . . . . . . . . . . . . . . . .

Answer:

Calculate the monthly and total repayment cost of your personal loan using the ... 1 year, 2 years, 3 years, 4 years, 5 years, 6 years, 7 years, 8 years, 9 years ... annual interest rates (APRs), you can see how your monthly loan repayments ... We compare loans that can be paid back over terms of between one and 25 years.

Answer:

4(x+8)=40

4x+ 32= 40

4x=40-32

4x=8

x=8/4

x=2/1

Answer:

to figure out x, divide 5x by 5

to figure out 5x, times x by 5,

to figure out 5x-1 take away 1 from the answer in the middle column

Answer:

m=1 (slope)

Step-by-step explanation:

m= change in y / change in x

m= (y2 - y1) / (x2 - x1)

m= (2-(-1))/ (8-(5))

simplify

m= 3/3 = 1

Answer:

-5 3,

-5 6

Step-by-step explanation:

assignment on ed

Answer:

Ratio: 3:2

LN = 18

Step-by-step explanation:

"similar" means that all the angles are the same and the sides were all increased by the same proportion.

Thus, we know that MN/YZ = LM/XY = NL/ZX

First, we need to find the ratio. To do this, we write MN/YZ as a fraction, and simplify.

MN/YZ = 15/10 = 3/2

(If you want, you can double check this using LM nd XY. 8 * 3/2 = 12, so this is correct)

To find the missing side, we simply multiply XZ by 3/2.

12 * 3/2 = 18, so LN = 18.

Answer:

0,2,4,8

Step-by-step explanation:

:)

Answer:

1. A figure getting smaller

2. figure getting larger

Answer:

x=2, y=-2

(2, -2)

Step-by-step explanation:

x + y = 0

3x - 2y = 10

3x - 2(0 - x) = 10                  ( 2(0 - x) = -2x )

3x - (-2x) = 10                      ( y = -x )

3x + 2x = 10

5x = 10

x = 2

Hope i helped, feel free to ask questions :D

Have a good day!

Answer:

31.6

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Answer:

9x+32

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  2

Step-by-step explanation: