Mathematics College

REAL LIFE A cylindrical hazardous waste container has a diameter of 1.5 feet and a height of 1.6 feet. Abo
azardous waste can the container hold? Round your answer to the nearest whole number. (1 ft 7.5 gal)

Answers

Answer 1

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

Answer 2

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

What is a cylinder?

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

Related Questions

Parallelograms don’t understand

Answers

Answer:-43 + 9x = 0

Step-by-step explanation:Simplifying

9x + -43 = 0

Reorder the terms:

-43 + 9x = 0

Solving

-43 + 9x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '43' to each side of the equation.

-43 + 43 + 9x = 0 + 43

Combine like terms: -43 + 43 = 0

0 + 9x = 0 + 43

9x = 0 + 43

Combine like terms: 0 + 43 = 43

9x = 43

Divide each side by '9'.

x = 4.777777778

Simplifying

x = 4.777777778

Angie has already written 19 pages, and she expects to write 1 page for every additional
hour spent writing. How many hours will Angie have to spend writing this week in order to
have written a total of 28 pages?

Answers

Answer:

[tex]9[/tex]

Step-by-step explanation:

[tex]28 - 19 = 9[/tex]

Answer:
9 hours

Explanation:
What we know:
- Angie has already written 19 pages
- Angies writes 1 page per hour

First, we can create the following equation to model this scenario:

Let x be equal to the number of hours that pass.
Total number of pages=1x+19

Now, because Angie wants to write 28 pages in total, we can plug that into the left side of the equation and solve for x, the number of hours.

28=1x+19
Subtract both sides by 19
28-19=1x+19-19
9=1x
x=9

Therefore, Angie would have to spend 9 hours to write a total of 28 pages.

I hope this helps!

Help!
There are _____
1. 140
2. 1,400
3. 14,000
4. 140,000
decigrams in 14 hectograms.

Answers

3. 14,000 decigramos
3.14,000 is the answer

Evaluate the expression

Answers

Answer:

32

Step-by-step explanation:

4 to the third power is 64

(7-3) = 4

*2

64/4*2 = 32

Hope this helps

Mr. Gardener invested $500.000. His annual interest was $40.000. What was the annual interest rate?

Answers

Answer:

8% per year

Step-by-step explanation:

............

PLEASE HELP DUE SUPER SOON

Answers

Answer:

2 Blocks

Step-by-step explanation:

Answer:2/3

Step-by-step explanation: 2 blocks apart so just 1/3 times 2=2/3

A population of 2000 fish increases at an annual rate of 7.5%. Write the model, then predict how
many fish will there be in 10 years?

Answers

Answer:

The model is [tex]P(t) = 2000(1.075)^{t}[/tex].

There will be 4122 fish in 10 years.

Step-by-step explanation:

Exponentially increasing population:

An exponentially increasing population can be represented by the following model:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(t) is the population after t years, P(0) is the initial population, and r is the growth rate, as a decimal.

A population of 2000 fish increases at an annual rate of 7.5%.

This means that [tex]P(0) = 2000, r = 0.075[/tex]

So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P(t) = 2000(1+0.075)^t[/tex]

[tex]P(t) = 2000(1.075)^{t}[/tex]

This is the model.

How many fish will there be in 10 years?

This is P(10).

[tex]P(t) = 2000(1.075)^{t}[/tex]

[tex]P(10) = 2000(1.075)^{10} = 4122[/tex]

There will be 4122 fish in 10 years.

Order the following set of numbers from least to greatest.
0.09, 1%, 11%,
1/8

Answers

1/8=0.125 1%=0.01 11%=0.11
1%, 0.09, 11%, 1/8
Answer: 0.09,1%,1/8,11%
Explanation: this is College math pshh

on a family trip, albert counted two groups of four motorcycles and an additional five solo motorcycles. Write an expression for the number of motorcycles albert saw. then find the number of motorcycles.

Answers

2(4)+5 Albert encountered 13 motorcycles.

Estimate the sum or difference.
7/8-1/5

Answers

Answer:27/40

Step-by-step explanation:

7/8-1/5  

35/40-8/40=27/40

17 > 4x
• A) X= 4
- B) x = 5
• C) x = 6
• D)x=7

Answers

Answer:

La D

Step-by-step explanation:

porque la variable de divide

A penguin starts at 15 meters above sea level and ends at 7 meters below sea level. What is the change in elevation?

Answers

Answer:

22 meters

Step-by-step explanation:

If the penguin goes from 15 meters above sea level to sea level (0 meters), they traveled 15 meters in elevation.

Then they traveled another 7 meters when going 7 meters below sea level.

15 + 7 = 22

Hope this helps :)

22
Which point on the coordinate plane below is (-9, 3)?




Point D


Point C


Point B


Point A

Answers

Answer:B

Step-by-step explanation: x is -9 and y is 3

Since it’s negative you’d go left by 9 blocks and the y is positive so you go up 3

Answer:

The answer is point B

Step-by-step explanation:

I know this because (-9, 3) seems to be located in quadrant 2 because in quadrant 2 along the x-axis it is negative and along the y-axis it is positive. So, when l look in quadrant 2 there seems to be only one point, point B, which if you look at it is 9 units to the left and 3 units upward.

Need an answer:

Graph g(x)=5|x-6|+2

Answers

your minimum is at (6,2)
your vertical intercept is at (0,32)
your domain: (-infinity, infinity)
your range: [2, infinity)

3. Given: If x= 2, then 3x - 5 10
Prove this statement is true by contradiction
If x = 2, then 3x - 5 =10, take this statement as true and solve for x.​

Answers

Answer:

i dont know what contradiction is (im not american)

Step-by-step explanation:

sooo imma solve the second one

3x-5=10

3x=10+5

3x=15

divide everything by 3

x=5

How do percents show the relationship between quantities? ​

Answers

Answer: Decide whether two quantities are in a proportional relationship, by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin . Use proportional relationships to solve multistep ratio and percent problems.

Step-by-step explanation:

(-2+6y+3x)(-3) distributive property to remove the parentheses

Answers

Answer:

6-18y-9x

Step-by-step explanation:

PLEASE ANSWER I WILL GIVE BRAINLIEST AND LOVE U FOREVER!

Answers

Answer:

im not even sure this is right

Step-by-step explanation:

A=a+b 2h=2+1.1

2·3.4=5.27

Self-select sampling is a sample in which members choose to be in the survey.
True
False

Answers

Answer:

true

Step-by-step explanation:

Which of the following is equal to the expression listed below?

35 + 14

A.(7+5)(7+2)
B.7(5+2)
C.7+(5 times 2)
D.(7 times 5)(7 times 2)

Answers


B
7(5+2)
= 7(7) = 49
35+14 = 49
the answer is D i think

PLZ HLP The figures are similar. Find x.

Answers

Answer:

if it is similar it would be 19

Step-by-step explanation:

Answer= 18
Explanation: they have a common factor of 3 3•3=9
3•7=21

3•2=6
3•6=18

la potencia de un motor Mercedes Benz es de 120 Hp,(1Hp= 746 w) ¿ que fuerza realiza el motor para que el auto alcance una velocidad de 30m/s.


prrr favor ayudame​

Answers

Answer:

3627181992838(1331)323-242_4224$78

what is the equivalent ratio of 2 over 9?
​

Answers

Answer:

4/18, 6/27, 8/36, 10/45, 12/54, 14/63, 16/72, 18/81, 20/90, 22/99 and many more

Step-by-step explanation:

Hope this helpss!!

a train travels 16 miles in 20 minutes how many minutes would 12 miles be

Answers

Answer:Then 16x = 240, and x = 240/16 = 15. It will take 15 minutes to travel 12 miles.

Step-by-step explanation:

16 miles     =  12 miles

20 mins.        how many mins?

16    =   12       cross multiply       16? = 240   divide by 16     240 divided by 16 = 15 miles

20          ?                                                                                because 15 x 16 = 240

Answer:

It will take 15 minutes to travel 12 miles.

Step-by-step explanation:

Write and solve an equation of ratios:

16 miles     20 min

-----------  = -----------

12 miles          x

Then 16x = 240, and x = 240/16 = 15.  

For each expression, use a property to write an equivalent expression. Tell which property you used.

1. (ab)c =

2. 3y + 4y =

3. 6 x 7 =

Answers

Answer:

1. is the answer

Step-by-step explanation:

Because i did the test

find the x (please help lol)

Answers

Answer:

x = 23.5

Step-by-step explanation:

x is the midsegment theorem of the trapezoid given.

Based on the midsegment theorem of a trapezoid, thus:

x = (7 + 40)/2

x = 47/2

x = 23.5

Choose the correct simplification of (7x^3 – 4x - 8) + (2x^3 + 3x + 2).​

Answers

Answer:

9[tex]x^{3}[/tex]-x-6

Step-by-step explanation:

Answer:

=9x3−x−6

Step-by-step explanation:

7x3−4x−8+2x3+3x+2

Which ordered pairs are solution(s) of y > 4x - 9? Select all that apply A (-1,3) B. (0, -9) C. (1.0) D. (2, 1)​

Answers

Answer:

A.

C.

D.

Step-by-step explanation:

Use the x-coordinate in place of x and compare the solution to the y-coordinate. All of the answers to these options are true.

Hope it helps!

Solve 2x + 5 = 12 please help ​

Answers

Answer:

first method

subtract 5 from both side

2x + 5 -5 = 12 - 5

:. 2x = 7

:. X= 2

7

divide 2 from both side

X= 2x 7

2 2

:. X= 3.5

second method

2x = 12 - 5

2x = 7

X= 2 ÷ 7

:. X= 3.5

what is 8 2/10 minus 4 1/3

Answers

Answer:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form:

58 /15

Decimal Form:

3.8 6

Mixed Number Form:

3  13 /15

Step-by-step explanation:

Rewriting our equation with parts separated
=8+21−4−13
=
8
+
2
1
−
4
−
1
3
Solving the whole number parts
8−4=4
8
−
4
=
4
Solving the fraction parts
21−13=?
2
1
−
1
3
=
?
Find the LCD of 2/1 and 1/3 and rewrite to solve with the equivalent fractions.
LCD = 3
63−13=53
6
3
−
1
3
=
5
3
Simplifying the fraction part, 5/3,
53=123
5
3
=
1
2
3
Combining the whole and fraction parts
4+1+23=523
The answer is 5 2/3
Other Questions
What governmental practices led to the writing of the English Bill of Rights?Select all that apply.a. James II created a standing army that killed hundreds of Protestants.b. James II had created laws restricting the right of Protestants to bear arms.c. The Crown created laws restricting the right of Catholics to bear arms.d. The Crown had tortured the accused to receive confessions for crimes. A group of engineers meets with a local farm cooperative to discuss features of a new fertilizer. What stage of the product development life cycle is this? detailed product design concept development product planning product systems design An accidental is a note that does not belong in the key signature. True or false. Triangle XYZ with vertices X (1,-2) Y (3,-5) and Z (4,1) translated 5 units left and 3 units up Complete the table of values.X-1NIW0de4fd =e =f= Explain what happens during the new moon and full moon phases, asseen from Earth. help please lol yuhaaaaaas What happens to the total number of carbon atoms on Earth? Does the total get larger, does it get smaller, or does it stay the same? solve : 2 I need to show work What do you believe the No. 1 ethical responsibility of a journalist is? Un elev a depus la banca suma de 250 lei. tiind ca banca ofer dobnda anuala de 1%,iar staia impoziteaz dobnda cu 16%,aflati ce suma va avea elevul dup un an de depunere. How did many African Americans in Georgia view the white primary system?They protested it. They approved of it.They refused to take part in it.They believed that it was constitutional. Plzzzzzz help meeee plz I am timed In a block of addresses we know the IP address of one host is Roll no. Roll no. Roll no. Roll no./20.What is the first address and the last address of this block? Find the number of addresses in the block?Hint: if your roll no is 33 then your ip address will look like this: 33.33.33.33/20 Which of the following is an example of maintaining homeostasis?A) LearningB) JumpingC) ShiveringD) Smiling Refer to the Newsela article Dying of Hunger: What Is a Famine?What is the authors viewpoint in the article? The author is concerned with an accurate and factual description of famine so it will not be politicized. The author rejects the definition of famine because there are factors that prevent a true understanding of famine. The author is more focused on stopping suffering in war-torn countries than finding ways to relieve famine. The author believes the best way to address the issue of starving populations is to hold governments responsible for famine. is solar system a natural system or human-made system in your own perception which is more important, empowerment or advocacy? Write the missing decimal so that each pair adds to 1/2 + ...= 1 Someone can write me 2 paragraphs about Lynn whitfeild please??