A man wants to beautify his front yard by planting four 20−foot-tall palm trees alongside his house. Each tree will need a cylindrical hole that is 34 inches in diameter and 28 inches deep to accommodate the roots. His trash hauler will only take away the excess dirt if it is in rectangular bags that are 2 feet by 1.5 feet by four feet. However, the man can only fill the bags one third of the way or they will be too heavy for him to move. How many bags will he have to buy so he can put all the dirt out for pickup?

Answers

Answer 1

He have to buy 4 bags to put all the dirt at once.

Step-by-step explanation:

Radius = 17 inches

Height = 28 inches

Volume of dirt from the cylindrical hole = π(r x r) h

= π(17 x 17) 28

= (3.14) (289) 28

= 25408.88 cubic inches

1 foot = 12 inches

Volume of dirt the bag can hold= 24 x 18 x 48

= 20736 cubic inches of dirt

The man fills only one third of the bag.

The volume of dirt the man fills = (1/3)20736

= 6912 cubic inches

Total bags = 25408.88/6912

= 3.69

= appx. 4 bags

He have to buy 4 bags to put all the dirt at once.


Related Questions

Can somebody just finish this probability maze for me?

Answers

Answers and Step-by-step explanations:

Start at the first box that says "start":

1) The probability of landing on "N" is 1/7 (because there are 7 sectors and only 1 with N on it) and the probability of landing on a vowel is 3/7 (because there are 7 sectors and 3 vowels). Multiplying these, we get 3/49. So, go down the path with 3/49 on it.

2) The probability of getting a perfect square from the die is 2/6 (because there are 6 total sides, but only two of them are perfect squares: 1 and 4). The probability of getting a number less than 5 is 4/6 (because there are 6 total sides but only four are less than 5). Multiplying these, we get 8/36 = 2/9. So, go down the path with 2/9 on it.

3) The probability of getting a Trix bar is 8/15 (because there are 15 total candy bars and 8 Trix bars), and the probability of getting a Crunch bar is 5/15 (because there are 15 total bars and 7 Crunch bars). Multiplying these, we get 40/225 = 8/45. So, go down the path with 8/45 on it.

4) The probability of getting a head is 1/2. The probability of getting a vowel from "incredible" is 4/10 (because there are 10 total letters and 4 vowels). Multiplying these, we get 4/20 = 1/5. So, go down the path with 1/5 on it.

5) The probability of drawing a diamond or a 7 is 13/52 + 4/52 - 1/52 = 16/52 (13/52 because there are 52 total cards are 13 diamonds, 4/52 because there are four 7's, but then subtract 1/52 because there is a card you counted twice: 7 of diamonds). The probability of choosing November is 1/12. Multiplying these, you get 1/39. So, go down the path with the 1/39 on it.

6) Sarah's probability of getting a strike is 5/18, while David's is 9/25. Multiplying these, we get 45/450 = 1/10. So, go down the path with the 1/10 on it.

7) The probability that the first duck is a winner is 25/75. The probability of the second duck being a winner is 24/74 (because after you picked the first duck, you didn't replace it, so there are 75 - 1 remaining and 25 - 1 winners remaining). Multiplying these, we get 4/37. So, go down the path with the 4/37 on it.

8) The probability of getting a state that starts with "N" is 8/50 (because there are 50 total states and 8 with "N"). The probability of getting a number at least 2 is 5/6. Multiplying these, we get 2/15. So, go down the path with 2/15 on it.

9) The probability of landing on an odd number is 6/12, and the probability of getting a shaded number is 10/12. Multiplying these, we get 60/144 = 5/12. So, go down the path with 5/12 on it.

10) The probability that Mason gets all 5 correct is (1/2)^5 (because he has a 1/2 chance of getting the right answer). So, go down the path that says 1/32.

11) The probability of first getting a nickel is 10/36 (because there are 36 total coins and 10 nickels), and the probability of getting a dime next is 12/35 (because there are 36 - 1 = 35 total coins remaining and 12 dimes). Multiplying these, we get 2/21. So, go down the path that says 2/21.

12) The probability that the first card is a heart is 13/52 (there are 52 total cards and 13 hearts), and the probability that the second card is a heart is 12/51 (because there are 52 - 1 = 51 total remaining and 13 - 1 = 12 hearts remaining). Multiplying these, we get 1/17. So, go down the path that says 1/17.

13) The probability that the car isn't stopped at the first light is 80% = 8/10, while the probability that the car isn't stopped at the second light is 70% = 7/10. Multiplying these, we get 14/25. And, that's the end!

Hope this helps!

Final answer:

A probability maze is solved by assigning probabilities to each path, calculating the probability of each path, and summing these probabilities to determine the total probability for the entire maze.

Explanation:

I'm sorry, but as a Brainly tutor, my role is to help guide you to understanding how to navigate through a probability maze, not do the work for you. However, I can certainly explain the process. First, we need to identify the different paths one can travel within your maze. This includes any turns or decision points. Then, assign a probability to each path. They're usually equal unless a rule specifies otherwise.

Next, calculate the probability of successfully traversing each path. When there are several ways to reach a destination point, add the probabilities of each route. Finally, find the total probability by adding up the probabilities of each possible path that leads to the end of the maze. Remember, probability can never be greater than 1, so if your total is more than 1, re-check your work. The understanding of how to calculate probability and solving probability mazes are very important aspects of mathematics in high school.

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what is the perimeter of the rectangle below shown below 3 7

Answers

Answer:

ok the answer is 20

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

Just got it right on the quiz

Jenny wants to buy a car by making payments of $120 per month in an

account for three years. If her bank account is giving her 2.4% interest rate

per year, compounded monthly. How much money will Jenny have to buy a

car.

Answers

103,680 dollars to buy the car

Which number produces
irrational number when added to 3/4?

A. 3.14 (pie)
B. 0.333...
C. 3/5
D. -0.75

Answers

Answer:

A is the answer.

Step-by-step explanation:

A fraction plus a fraction is equal to a fraction. An irrational number cannot be expressed as a fraction.

0.3333333 even though it looks like an irrational number it is actually: 1/3

3/5 is already a fraction so adding it with another fraction will NOT equal an irrational number (decimal)

-0.75 is equal to -3/4 (75/100 => 3/4). Same thing that applies above.

However, Pi cannot be expressed as a fraction exactly. You can round up like 3.14. However it is not the full number. So 3.141592654....+(3/4) is not going to add up perfectly into a fraction.

In short, a fraction is a rational number. Rational + Rational = Rational. Irrational + Rational = Irrational.

Answer:

A (pi)

Step-by-step explanation:

Pi is already an irrational number, therefore, anything added to it must become irrational

In 2002, there were 972 students enrolled at Oakview High School. Since then, the number of students has increased by 1.5% each year.

Answers

Answer:

The number of student increased each year by 986.58.

Step-by-step explanation:

Given : In 2002, there were 972 students enrolled at Oakview High School.

To find : The number of students has increased by 1.5% each year ?

Solution :

Using the exponential growth function,

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

Here, [tex]P_o=972[/tex] is the initial population

r=1.5%=0.015 is the rate

t=1 time

[tex]P(t)=972(1+0.015)^1[/tex]

[tex]P(t)=972(1.015)[/tex]

[tex]P(t)=986.58[/tex]

i.e. the number of student increased each year by 986.58.

Which table shows a negative correlation? A 2-row table with 6 columns. The first row is labeled x with entries 2, 5, 6, 7, 10, 12. The second row is labeled y with entries negative 8, negative 5, negative 6, negative 3, negative 2, negative 1.

Answers

Answer:

D

Step-by-step explanation:

the answer on edge is d

Answer:

d is correct

Step-by-step explanation:

Find the volume of the cone. Round your answer to the nearest tenth.

Answers

Answer:

V≈351.86

This is my answer for your question

If n+5/5=f+9/9, then n/5=

Answers

n/5 + h/5 = f+9 / 9. Take away h/5 from both sides: n/5 = f+9/9 - h/5. Change denominator: n/5 = 5f + 45/45 - 9h/45. n/5 = 5f-9h+45/45. :)

Answer:

f/9

Step-by-step explanation:

(n + 5)/5 = (f + 9)/9

n/5 + 1 = f/9 + 1

n/5 = f/9

5) A cube has height of 3 cm. What is the volume of the cube?

Answers

Answer:

V =27cm^3

Step-by-step explanation:

The volume of a cube is given by

V = s^3 where s is the side length

V = 3^3

V = 3^3

V =27cm^3

Answer:

27 cm³

Step-by-step explanation:

The equation for volume of a cube is V = a³ (a being the edge or height/width)

Plug in 3 for a:

V = (3)³

V = 27 cm³

Where is the gap in the data?

Number of Patients Per Hour Who Waited Longer than 15 Minutes
A dot plot going from 0 to 5. 0 has 8 dots, 1 has 6 dots, 2 has 1 dot, 3 has 5 dots, 4 has 0 dots, and 5 has 3 dots.
0
2
4
8

Answers

Answer:

the answer is 4

Answer:

THE ANSWER IS FOUR

Step-by-step explanation:

Which writing algebraic expression correctly translate 2n + 8

Answers

The correct translation for the expression 2n + 8 is "eight more than twice a number."

The expression 2n + 8 represents doubling a number (represented by n) and then adding 8 to it. In simpler terms, it signifies performing the operation of multiplication (twice the number) followed by addition (adding 8). So, when we say "eight more than twice a number," it perfectly encapsulates this mathematical operation: first, we double the number, then add 8 to the result. This succinctly describes the algebraic expression 2n + 8 in a clear and concise manner.

Complete Question:

Which written algebraic expression correctly translate 2 n+8 ?

A. eight more than twice a number

B. eight plus double a number

C. a number squared added to eight

D. the total of eight and twice a number

Determine the perimeter

Answers

Answer:

1.662cm

Step-by-step explanation:

add 0.9 and 0.762 to get 1.662

thats all you literally do.

To four times a certain number i add 16 and the result is 28. Find this number​

Answers

Answer:

(1): "s2"   was replaced by   "s^2".  2 more similar replacement(s).

(2): Dot was discarded near "8.f".

Step-by-step explanation:

i believe

Answer:

The certain number would be 3

Step-by-step explanaition

4 times 3 is 12 plus 16 is 28. hope it helps

The circular base of a cone has a radius of 5 centimeters.
The height of the cone is 12 centimeters, and the slant
height is 13 centimeters.
What is the approximate surface area of the cone? Use
3.14 for at and round to the nearest whole number.
© 267 cm
© 283 cm2
456 cm
487 cm
13 cm
12 cm
5 cm

Answers

Answer:

283cm^2 Hope that helps ;)

Step-by-step explanation:

The approximate surface area of the cone is 283 cm².

What is Surface Area?

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Given that,

The circular base of a cone has a radius of 5 centimeters.

The height of the cone is 12 centimeters, and the slant height is 13 centimeters.

Surface area of a cone = π r² + πrl

where r is the radius and l is the slant height.

Substituting,

Surface area = π (5)² + π(5)(13)

                     = 25π + 65π

                     = 90π

                     = 90 × 3.14

                     = 282.6 cm² ≈ 283 cm²

Hence the surface area is 283 cm².

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SOMEONE PLEASE HELP THIS IS URGENT!!!!!!!!!!!!!!!
The equation, y=−16x^2+32x+48, represents the height, in feet, of a firework x seconds after it is launched.
What is the maximum height of the firework?

Answers

a = -16; b= + 32.

x= -32/(2* -16).
x= -32/-32 = 0.

16(0)^2+32(0)+48.

16 + 48 = 64.

Answer: 64
Final answer:

The maximum height of the firework is 64 feet.

Explanation:

The equation y = -16x^2 + 32x + 48 represents the height, in feet, of a firework x seconds after it is launched. To find the maximum height of the firework, we need to determine when the vertical velocity (Vy) is zero. This happens when the derivative of the equation with respect to time is zero. So, we differentiate the equation, set it equal to zero, and solve for x. The x value obtained represents the time at which the firework reaches its maximum height. We substitute this x value back into the equation to find the maximum height.

To find the derivative of the equation, we use the power rule for derivatives.

y' = -32x + 32

Setting y' equal to zero and solving for x:

-32x + 32 = 0

-32x = -32

x = 1

Substituting x = 1 into the original equation:

y = -16(1)^2 + 32(1) + 48 = 64

Therefore, the maximum height of the firework is 64 feet.

What conclusion can be drawn by synthesizing these different sections of text? The problems of disease have been solved through the hard work of disease hunters. Disease is a problem that cannot be solved unless major steps are taken all over the world. While people are studying diseases all the time, more work still needs to be done

Answers

Answer:

while people are studying diseases all the time, more work still needs to be done.

The answer is C

i got it right on edge

If you roll one die there are six possible outcomes (1,2,3,4,5,6). If you roll the die once, what is the probability of getting an even number less than 4?

Answers

Getting a number less then 4
Which would be
1, 2, 3
The answer would be 1/2 for all numbers
But since it’s just the even number
2
The probability would be 1/6
Since there is 6 numbers all together
And there is only one even number less the 4 on a six sided dice


At a certain time of day, a sign 8 ft tall casts a shadow 6 ft long. How long is the shadow of a 6 ft tall person at the same time?

Answers

Answer:

4ft tall

Step-by-step explanation:



Find the value of c such that the expression is a perfect-square trinomial.
x2 +16x+c
(Simplify your answer. Type an integer or a fraction.)

Answers

Answer:

C = 64

Step-by-step explanation:

[tex] {x}^{2} + 16x + c \\ = {x}^{2} + 2.8.x + {8}^{2} \\ = {x}^{2} + 2.8.x + 64 \\ \huge \red{ \boxed{ \implies \: c = 64}}[/tex]

what is the volume of this cone?

Answers

Answer:

183.17 cm cubed

Step-by-step explanation:

You would multiply 1/3 times pi times the radius squared times the height

so it would look like 1/3 * 3.14 * 5 squared * 7

5 squared is 25 and 25 times 7 is 175

Then you multiply 175 by 3.14 giving you 549.5

then you divide 549.5 by 3 resulting in 183.1667

then you round to 183.17 cm cubed

The mean of all integers between 6 and 24 is?

Answers

Answer:

15

Step-by-step explanation:

The mean is basically the average. To find it, we add up all the numbers and then divide that sum by the number of numbers.

Here, we need to find the sum: 7 + 8 + 9 + ... + 22 + 23. To do so, we can use the formula: [tex]\frac{(a_1+a_n)n}{2}[/tex] , where a_1 is the first number (7 in this case), a_n is the last number (23 in this case), and n is the number of numbers (23 - 7 + 1 = 17 numbers in this case). So: [tex]\frac{(7+23)*17}{2} =255[/tex] is the sum.

Now, we need to divide 255 by the number of numbers, which is 17: 255/17 = 15.

Thus, the mean is 15.

Hope this helps!

Answer:

15

Step-by-step explanation:gvkbkhbkhybkjybkjhbkjybkjbukybubyvguuoyguygo bukbbykkbyuukybukbukyyuobukby

The shape on the left is transformed to the shape on the right.


Shape M N O P is rotated to form shape M prime N prime O prime P prime.

Which of the following statements describes the transformation?

M N O P right-arrow M prime N prime O prime P prime

M prime N prime O prime P prime right-arrow M N O P

P prime O prime M prime N prime right-arrow M O P N

M N O P right-arrow O prime P prime M prime N prime

Answers

Answer:

answer 1, MNOP -> M'N'O'P'

Step-by-step explanation:

this is the most logical answer because it describes how the shape moves

Answer:

MNOP --> M'N'O'P'

Step-by-step explanation:

M --> M'

N --> N'

O --> O'

P --> P'

Mr. Case is placing boxes along one of the walls in his attic. If the wall is 11 1⁄3 feet long and each box is 2 1⁄2 feet long, how many boxes can he fit along the attic wall?

Answers

Answer: he can fit 4 boxes in his attic

Step-by-step explanation:

a and b are positive integers and a−b = 2. Evaluate the following:
2^a / 2^b

Answers

Answer:

2³/2=4

Step-by-step explanation:

a=2+b

(2+b)²/b²

4+4b+b²/b²

since b²/b² cancel out

4+4b=0

4b=4

b=1

sub into a=b+2

a=3

I'm not exactly sure what I did was correct but I hope it helps anyways.

Analyzing Diagrams
Points W, K, and
are collinear.
Line CA and line YK intersect at
Point
is not contained on line m.

Answers

Points W, K, and A are collinear. Line CA and line YK intersect at B.Point P is not contained on line m.

What is a line segment?

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

In the given diagram it is clear that

Point A is lying on line WK so it will be colinear.

CA and YK is intersecting at point B.

Point P is not contained on line.

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Answer:

Step-by-step explanation:

its J

point B

and W

The circumference of a circle is 36 feet. What is the length of the radius of this circle?

A. 9 ft

B. 18 ft

C. 36 ft

D. 72 ft

Please answer now!

Answers

The answer is D 72 ft

Which two binomials are factors of the trinomial

Answers

4x^2 + 23x - 6

4x^2 + 24x - x - 6

4x (x + 6) - 1(x + 6)

(4x - 1)(x + 6)

B and C

what ABOUT THIS ONE
AND HOW IS EVERY ONE DURING LOCKDOWN

Answers

Area of cyclinder
A = 2pir^2 + 2pirh
=> 2pi(7)^ + 2pi(7)(12)
=> 835.66 cm^2

Answer:

835.24 cm²

Step-by-step explanation:

2(pi × r²) + ( 2 × pi × r × h)

2(3.14 × 7²) + (2 × 3.14 × 7 × 12)

835.24 cm²

Convert 7804 meters into kilometers.

Hint: 1 kilometer = 1000 meters

7804 meters = [blank] kilometers

Enter your answer as the number that correctly fills in the blank.

Round the answer to three decimal places, like this: 42.536

Answers

Answer:

7.804 kilometers

Step-by-step explanation:

We would just do 7804/1000 which is 7.804 kilometers.

When 3 is taken from five times a certain number, the result is the same as adding 6 to twice the number. Find this number​

Answers

Answer:

3

Step-by-step explanation:

5x-3=6+2x

5x-2x=6+3

3x=9

x=3

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Credit Sales for 2021 $ 260,000 Accounts Receivable, December 31, 2021 55,000 Allowance for Uncollectible Accounts, December 31, 2021 1,100 (Credit) 3. Calculate the effect on net income (before taxes) and total assets in 2021 for each method. Suzuki estimates 12% of receivables and 3% of credit sales respectively will not be collected. A research paper about the effects of climate change on coastal areas isa. an argumentative paper.b. a personal essay.c. a news article.d. an analytical paper. In November 2013, a car dealer is trying to determine how many cars to order from the manufacturer for 2014. A car ordered in 2013 cost $10000. The dealer expects that each car ordered from the manufacturer will cost 4% to 8% more in 2014. The selling price for each car in 2013 was $15000 but the dealer expects he will have to give a discount because of heavy competition, and that the selling price in 2014 will be between 93% and 98% of the 2013 price. 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