A company rents water tanks shaped like cylinders. Each tank has a diameter of 8 feet and a height of 3 feet. The cost is $5 per cubic foot. How much does it cost to rent one water tank?
Answers
Answer:
$754.05
Step-by-step explanation:
We have to find the volume of one tank and multiply it by the cost of renting the tank per cubic foot.
The volume of a cylinder is:
\(V = \pi r^2h\)
where r = radius
h = height
Each tank has a diameter of 8 feet (radius = 4 feet) and a height of 3 feet.
The volume of the tank is therefore:
\(V = \pi * 4^2 * 3 = 150.81 ft^3\)
The cost of renting is $5 per cubic foot.
Therefore, the cost of renting a tank is:
150.81 * 5 = $754.05
It costs $754.05 to rent a tank.
Related Questions
Suppose that the functions and s are defined for all real numbers x as follows.
r(x) = 5x
s(x) = 4x-4
Write the expressions for (r-s) (x) and (r-s) (x) and evaluate (r+s) (4).
(r-s) (x) = []
(r+s)(x) =
(r+s) (4) = [
X
Ś
Answers
The expressions for (r-s) (x) and (r+s)(x) can be written as:
(r-s) (x) = x + 4
(r+s)(x) = 9x - 4
(r+s)(4) = 32
How to write the expressions for (r-s) (x) and (r+s)(x)?An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.
Since r(x) = 5x and s(x) = 4x-4
The expressions for (r-s) (x) and (r+s)(x) can be written as follow:
(r-s) (x) = 5x - (4x-4) = x + 4
(r+s)(x) = 5x + (4x-4) = 9x - 4
(r+s) (4) can be evaluated by substituting x = 4 into (r+s)(x). That is:
(r+s)(x) = 9x - 4
(r+s)(4) = 9(4) - 4 = 32
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The height of a ball in feet is modeled by f(x) = -16x² +96x, where x is the time in seconds after it is hit. How long is the ball in the air?
Answers
Answer:
The answer is 144 feet and it will be in the air for 6 sec
Step-by-step explanation:
Answer:
92
Step-by-step explanation:
Like and give 5 star rating
Adele wears a pedometer . On Monday she walked 2 3/5 miles . on Tuesday she walked one and 1 3/4 miles and on Wednesday she walked to 2 7/10 miles on Wednesday. How many miles has she walked so far this week
Answers
Adele has walked 7 1/20 miles so far this week.
To find out how many miles Adele has walked so far this week, we need to add the miles she walked on Monday, Tuesday, and Wednesday.
Step 1: Convert the mixed numbers into improper fractions.
- Monday: 2 3/5 = (2 × 5 + 3)/5 = 13/5
- Tuesday: 1 3/4 = (1 × 4 + 3)/4 = 7/4
- Wednesday: 2 7/10 = (2 × 10 + 7)/10 = 27/10
Step 2: Find a common denominator and add the fractions.
- Common denominator: 20 (least common multiple of 5, 4, and 10)
- Convert the fractions: 13/5 = 52/20,
7/4 = 35/20,
27/10 = 54/20
- Add the fractions:
52/20 + 35/20 + 54/20
= (52 + 35 + 54)/20
= 141/20
Step 3: Convert the improper fraction back to a mixed number.
- 141/20 = 7 + 1/20
= 7 1/20.
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Six measurements are taken of the thickness of a piece of 18-guage sheet metal. The measurements (in mm) are: 1.316, 1.308, 1.321, 1.303, 1.311, 1.310 Make a boxplot of the six values. Should the t distribution be used to find 99% confidence interval for the thickness
Answers
To make a boxplot of the six measurements, first arrange them in order from smallest to largest: 1.303, 1.308, 1.310, 1.311, 1.316, 1.321. Then, draw a number line and plot a box that spans the range from the first quartile (Q1) to the third quartile (Q3), with a line inside the box representing the median.
The whiskers should extend to the smallest and largest observations that fall within 1.5 times the interquartile range (IQR) from the box. Any observations that fall outside of this range are considered outliers and should be plotted as individual points.
In this case, Q1 is 1.308, Q3 is 1.316, the median is 1.311, and there are no outliers. Therefore, the boxplot would show a box from 1.308 to 1.316, with a line at 1.311 in the middle.
As for whether the t distribution should be used to find a 99% confidence interval for the thickness, it depends on whether we know the population standard deviation or not. If we know it, we could use a z-score instead of a t-score to calculate the confidence interval. However, if we do not know the population standard deviation, we would need to use the t distribution to account for the extra uncertainty in our sample estimate of the standard deviation. In either case, a 99% confidence interval would be wider than a 95% confidence interval, since we are more certain that the true population mean falls within the wider range.
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What is the slope of the line on the graph?
Answers
Answer:
Step-by-step explanation:
A dance class consists of 22 students, of which 10 are women and 12 are men. if 5 men and 5 women are to be chosen and then paired o as partners, how many results are possible?
Answers
PLEASE HELPPP AND SHOW THE WORKKKK
Answers
The answer will be as follows after answering the supplied question As a result, the equation of the line connecting the points (-1, -3) and (3, 5) is y = 2x - 1.
What is equation?A math equation is a process that relates two statements by using the equals sign (=) to indicate equivalence. In algebra, an equation is a mathematical statement that shows the equivalence of two mathematical expressions. In the equation 3x + 5 = 14, for example, the equal sign separates the numbers 3x + 5 and 14. A mathematical formula may be used to understand the link between the two phrases written on opposite sides of a letter. Frequently, the logo and the software are the same. For example, 2x - 4 = 2.
y - y1 = m(x - x1) (x - x1)
where (x1, y1) is the location of one of the points and m is the line's slope.
We may use the slope formula to calculate the slope:
m = (y2 - y1) / (x2 - x1) (x2 - x1)
where the coordinates of the two points are (x1, y1) and (x2, y2).
m = (5 - (-3)) / (3 - (-1)) = 8 / 4 = 2
As a result, the slope of the line is 2. We can now use one of the two locations to get the equation of the line. Let's take (-1, -3) as an example:
y - (-3) = 2(x - (-1))
y + 3 = 2(x + 1)
y + 3 = 2x + 2
y = 2x - 1
As a result, the equation of the line connecting the points (-1, -3) and (3, 5) is y = 2x - 1.
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What is the equation of function g?
g(x)= f(x)
Answers
Answer:
f=gx-4/x-2
f=x^3+2/x
Time left 1:00:09 As a fund raiser the Students Union operated a car wash. With a Standard power washer they could wash 105 cars per month. They used 23 gallon of soap and 4 students worked 20 days in a month and 8 hours per day. The students Union decided to purchase a Premium power washer. With the new Premium power washer they washed 98 cars in only 18 days. They used 17 gallons of soap,and three students worked 6 hours per day. What was the labor hours productivity using the Standard power washer. Select one: Oa. 16 cars/hr Ob. 4.5 cars/hr O c. 32 cars/hr O d. 45 cars/hr CLEAR MY CHOICE
Answers
In the given question the labor hours productivity using the Standard power washer was 4.5 cars per hour using unitary method.
To calculate the labor hours productivity using the Standard power washer, we need to find the number of cars washed per hour.
First, let's calculate the total number of cars washed in a month with the Standard power washer. The Students Union washed 105 cars per month.
Next, we calculate the total number of labor hours worked in a month by multiplying the number of students, days worked, and hours per day. In this case, 4 students worked 20 days a month, and each day they worked for 8 hours. So the total labor hours worked is 4 * 20 * 8 = 640 hours.
To find the labor hours productivity, we divide the total number of cars washed by the total labor hours worked. Therefore, 105 cars / 640 hours = 0.164 cars per hour.
Rounding to one decimal place, the labor hours productivity using the Standard power washer is approximately 0.2 cars per hour, which is equivalent to 4.5 cars per hour.
Therefore, the correct answer is option Ob. 4.5 cars/hr.
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For the equation (x2-16)3 (x-1)y'' - 2xy' + y = 0 classify each of the following points as ordinary, regular singular, irregular singular, or special points.
x = 0, x = 1, x = 4
Answers
x = 0 is an ordinary point.
x = 1 and x = 4 are regular singular points.
To classify the given points as ordinary, regular singular, irregular singular, or special points for the differential equation, we need to examine the behavior of the equation near these points.
x = 0:
To analyze the behavior of the equation near x = 0, let's substitute x = 0 into the equation:
\((0^2 - 16)^3(0 - 1)y'' - 2(0)y' + y = 0 \\ (-16)^3(-1)y'' + y = 0\)
Since the coefficients and exponents are all constant and finite, x = 0 is classified as an ordinary point.
x = 1:
Substituting x = 1 into the equation:
\((1^2 - 16)^3(1 - 1)y'' - 2(1)y' + y = 0 \\ (-15)^3(0)y'' - 2y' + y = 0 \\ (-15)^3(0)y'' - 2y' + y = 0\)
Here, we can see that the coefficient of y'' becomes zero. When this occurs at a regular point, like x = 1, it is known as a regular singular point.
x = 4:
Substituting x = 4 into the equation:
\((4^2 - 16)^3(4 - 1)y'' - 2(4)y' + y = 0 \\ (0)^3(3)y'' - 8y' + y = 0 \\ 0y'' - 8y' + y = 0\)
In this case, we have a constant coefficient of y'' equal to zero. Similar to x = 1, x = 4 is also a regular singular point.
To summarize:
x = 0 is an ordinary point.
x = 1 and x = 4 are regular singular points.
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Solve the following, show all work for thumbs
up!
Calculate the matrix elements of a 4x4 matrix given
the following basis states and Hamiltonian where first term in the
Hamiltonian is the hopping
+ + H = =+ (C₁F C²₂₁ +²₁ √ (₂²) + C₂₁ C₁p + C₂ C₁4) +Unit+1^₂)) Hopping i hopp. interaction; int. where ris: Cis Cis is number operator Using the following information: 11)
Answers
Answer:
Yes
Step-by-step explanation:
The roof of Mr. Thompson’s house is blank feet high to climb on top of his house healing a 13 foot ladder against the roof of his house in place is the base of the latter 5 feet from the house
Answers
Answer:
12 i think
Step-by-step explanation:
. When Ariana was 3 years old she was 32 inches tall. She grew at a rate of 2 inches per year. Write an equation to represent Adriana's height after each year. Identify your variables.
Answers
Answer:
A=32+2x
Step-by-step explanation:
A= Adriana's height
x= years since Adriana was 3 years old
A= 32+ 2x
In 20 words or fewer, can 8 • 7 • 6 be written as 8! . . . and why or why not?
Answers
Answer:
No, because factorials are product of all positive integers less than or equal to a given positive integer.
Sheldon works in sales and makes a weekly base salary plus a commission based on his sales each week. He earned an extra $120 in commissions from $1,500 in sales last week. Which percent of sales is Sheldon's commission?
Answers
Answer:
8%
Step-by-step explanation:
If he earned $120 out of $1500, just do 120/1500 which will give you 0.08 which is 8 percent.
A car is traveling at a rate of 99 kilometers per hour. What is the car's rate in kilometers per minute? How many kilometers will the car travel in 15 minutes? Do not round your answers.
Answers
Answer:
it is going 1.65 kilometers per minute and it will travel 24.75 kilometers in 15 minutes
Step-by-step explanation:
Solve for hhh.
\dfrac{h}6-1 = -3
6
h
−1=−3start fraction, h, divided by, 6, end fraction, minus, 1, equals, minus, 3
h =h=h, equals
Answers
The value of the variable h in the given fraction problem (h/6) - 1 = -3 is; h = -12
How to Solve Fraction Problems?
We are given the fraction problem as (h/6) - 1 = -3
Now, from this given fraction problem, the first step will be to rearrange the equation by adding 1 to both sides to get;
(h/6) - 1 + 1 = -3 + 1
(h/6) = -2
Now, the next step will be to multiply both sides by 6 to get;
(h/6) * 6 = -2 * 6
h = -12
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Complete question is;
Solve for h if (h/6) - 1 = -3
The vertices of ∆ABC are A(7,3),B(−8,6),C(0,−5). If ∆ABC is translated along the vector <−9,5>, what are the coordinates of the vertices of ∆A'B'C' ?
Answers
Answer:
The coordinates of the vertices of \(\bigtriangleup A'B'C'\) are \(A'=(-2,8)\), \(B'=(-17,-4)\) and \(C'=(-9,0)\).
Step-by-step explanation:
Let be \(A =(7,3)\), \(B = (-8,6)\) and \(C = (0,-5)\) the vertices of the original triangle, as well as \(\vec t = \left<-9, 5\right>\), the coordinates of the vertices of the new triangle are, respectively:
\(A' = A + \vec t\)
\(A' = (7,3)+(-9,5)\)
\(A' = (7-9,3+5)\)
\(A'=(-2,8)\)
\(B' = B + \vec t\)
\(B' = (-8,6)+(-9,5)\)
\(B' = (-8-9,-9+5)\)
\(B'=(-17,-4)\)
\(C' = C + \vec t\)
\(C' = (0,-5)+(-9,5)\)
\(C' = (0-9,-5+5)\)
\(C'=(-9,0)\)
The coordinates of the vertices of \(\bigtriangleup A'B'C'\) are \(A'=(-2,8)\), \(B'=(-17,-4)\) and \(C'=(-9,0)\).
A ski lodge charges $26 per day for a pass and $1.50 for every ski lift ride. a second ski
lodge charges $32 per day and $1.25 for every ski lift ride. what is the number of ski lift
rides at which both companies charge the same amount for a day of skiing?
a. 50 lift rides
b. 32 lift rides
c. 26 lift rides
d. 24 lift rides
Answers
The number of ski lift rides at which both companies charge the same amount for a day of skiing is 24 lift rides.
Let's represent the total cost for a day of skiing at the first ski lodge as C1 and the total cost at the second ski lodge as C2. The total cost at the first ski lodge can be calculated as $26 (pass) + $1.50 (ski lift rides), and the total cost at the second ski lodge is $32 (pass) + $1.25 (ski lift rides). To find the number of ski lift rides where both companies charge the same amount, we need to set C1 equal to C2 and solve for the variable. By equating the two expressions, we get:
26 + 1.50x = 32 + 1.25x,
where x represents the number of ski lift rides. Simplifying the equation, we have:
0.25x = 6,
x = 24.
Therefore, the number of ski lift rides at which both companies charge the same amount for a day of skiing is 24 lift rides. The correct option is (d).
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From population of size 500. random sample of 50 items is selected. The mode of the sample
a. can be larger. smaller Or equal to the mode of the population:
b. must be equal to the mode of population; if the sample is truly random;
c. must be equal to the mean of the population, if the sample is truly random:
d. must be 500
Answers
The correct statement regarding the mode of the sample is given as follows:
a. can be larger, smaller or equal to the mode of the population.
What is the mode of a data-set?The mode of a data-set is the observation that appears the most often in the data-set.
The mode of the sample is simply the most frequently occurring value in the sample. It is not necessarily expected to be the same as the mode of the population, which is the most frequently occurring value in the entire population.
As a sample is a group taken from an entire population, the observation that appears the most in the sample can be different from the more common observation in the population,
Hence, option (a) is correct.
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An amazing thing happens when you get
honest with yourself and start doing
what you love, what makes you happy.
You stop wishing for the weekend.
You stop merely looking forward to
Special events. You begin to live in each
moment and you start feeling like a
human being. You just ride the wave that
is life, with this feeling of contentment
and joy. You move fluidly, steadily, clam and greateful.
Hope you like it.
Answers
Answer:
Step-by-step explanation:
thanks im an introvert thats obsessed with learning what more is there in life
This is so amazing wow
Find the total amount of money you will have after 4 years if you begin with $500 at an interest rate of 3%
Answers
Answer: total amount of money = Initial amount × rate × time in years
= 500 × 3 × 4 = 6000 dollars.
What is the perimeter of triangle ABC. Coordinates A (4,-1) B (-1,4) C (0,-3)
Answers
Answer:
18.61
Step-by-step explanation:
write an equation to represnt the distance d, in kilometers, of each bird after thours
Answers
The equation is given as follows:
d = 50t.
What is the relation between velocity, distance and time?Velocity is given by the change in the distance divided by the change in the time, hence the following equation is built to model the relationship between these three variables:
v = d/t.
The bird can fly 400 kilometers in 8 hours, hence the velocity is given as follows:
v = 400/8
v = 50 km/h.
Then the equation is given as follows:
d = vt
d = 50t.
Missing InformationThe complete problem is:
"An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Write an equation to represent the distance d, in kilometers, of each bird after t hours".
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28. Given M₁ = 35, M₂ = 45, and SM1-M2= 6.00, what is the value of t? -2.92 -1.67 O-3.81 2.75
Answers
The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.
M₁ = 35
M₂ = 45
SM1-M2 = 6.00
The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:
t = (M₁ - M₂) / SM1-M2
Substituting the given values into the formula:
t = (35 - 45) / 6.00
t = -10 / 6.00
t = -1.67
Therefore, we can conclude that the value of t is -1.67 for the samples given.
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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.
Given, M₁ = 35
M₂ = 45
SM1-M2 = 6.00
The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.
To calculate the t-value,
the formula we need to use here is:
t = (M₁ - M₂) / SM1-M2
Substituting the given values into the formula:
t = (35 - 45) / 6.00
t = -10 / 6.00
t = -1.67
Therefore, we can conclude that the value of t is -1.67 for the samples given.
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I need a answer for this
Answers
Answer:
148 i think i’m not sure
Step-by-step explanation:
Answer:
Hello! answer: b = 24
Step-by-step explanation:
25 × 25 = 625 7 × 7 = 49 625 - 49 = 576 24 × 24 = 576 therefore b = 24 hope that helps!
If Z is a standard normal random variable, find the value z0 for the following probabilities. (Round your answers to two decimal places.)
(a) P(Z > z0) = 0.5
z0 =
(b) P(Z < z0) = 0.9279
z0 =
(c) P(−z0 < Z < z0) = 0.90
z0 =
(d) P(−z0 < Z < z0) = 0.99
z0 =
Answers
A) z0 = 0.
B) z0 = 1.44.
C) z0 = 1.645.
D) z0 = 2.58.
(a) To find the value of z0 such that P(Z > z0) = 0.5, we need to find the z-score that corresponds to the upper 50th percentile of the standard normal distribution. This value is given by the 50th percentile of the standard normal distribution, which is 0.
Thus, z0 = 0.
(b) To find the value of z0 such that P(Z < z0) = 0.9279, we need to find the z-score that corresponds to the upper 7.21th percentile of the standard normal distribution. Using a standard normal distribution table, we find that the z-score that corresponds to this percentile is approximately 1.44.
Thus, z0 = 1.44.
(c) To find the value of z0 such that P(-z0 < Z < z0) = 0.90, we need to find the z-scores that correspond to the lower 5th percentile and upper 95th percentile of the standard normal distribution. Using a standard normal distribution table, we find that the z-score that corresponds to the lower 5th percentile is approximately -1.645, and the z-score that corresponds to the upper 95th percentile is approximately 1.645.
Thus, z0 = 1.645.
(d) To find the value of z0 such that P(-z0 < Z < z0) = 0.99, we need to find the z-scores that correspond to the lower 0.5th percentile and upper 99.5th percentile of the standard normal distribution. Using a standard normal distribution table, we find that the z-score that corresponds to the lower 0.5th percentile is approximately -2.58, and the z-score that corresponds to the upper 99.5th percentile is approximately 2.58.
Thus, z0 = 2.58.
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2 1/3 cups of flour
3/4 of a cup of chocolate chips
2/5 of a cup of chopped almonds
1 1/2 cups of brown sugar
3/8 of a cup of white sugar
1/2 of a teaspoon of salt
Eric wishes to triple the recipe. How much of each ingredients should he use? Select all that apply
A) 6 1/3 cups of flour
B) 1/6 of a teaspoon of salt
C) 1 1/8 cups of white sugar
D) 9/12 cup of chocolate chips
E) 6/5 cups of chopped almonds
F) 2 1/2 cups of brown sugar
Its more than one answer
Answers
Answer:
A: 6/13 cups of flour.
Step-by-step explanation:
Factory workers can make 18 items in 15 hours. How many hours will it take
to make 12 items at this rate?
Answers
Answer:
10 hours
Step-by-step explanation:
Unit rate 18 items / 15 hrs = 1.2 items pe hour
12 items / 1.2 items / hour = 10 hours
4. There are major chords built on what three notes (with all white notes and no accidentals)? O CFG O ABC GEB OCDE
Answers
The three major chords built on white notes without accidentals are:
1. C major chord (C, E, G)
2. F major chord (F, A, C)
3. G major chord (G, B, D)
These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.
Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.
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