A company makes steel rods shaped like cylinders. Each rod has a radius of 4 centimeters and a height of 20 centimeters. The company uses, on average, 28,134.4cm3 of steel each hour to make these rods. How many rods does the company make, on average, each hour? If necessary, refer to the list of geometry formulas. For your calculations, do not round any intermediate steps, and use the π button on the ALEKS calculator. Round your answer to the nearest hundredth

Answers

Answer 1

Answer:

1,172.3 cm³

Step-by-step explanation:

Find the volume of one rod, then divide the total volume of steel used by the volume of one rod.  The volume of one rod is

V = (πd²/4)h

d = 4 cm

h = 20 cm

Plugin the numbers and get V in cm³, then divide the given total volume of 28,134.4 cm³ by V.  If the result is not an integer, then round down.

Add

20 + 4 = 24

Then

28,134.4 ÷ 24 = 1172.26

Rounded to the nearest 0.1 or  the Tenths Place = 1,172.3

Therefore, 1,172.3 rods will be made per hour.


Related Questions

Write the log equation as an exponential equation. You do not need to solve for x. log(5x+2)=3

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Answer:

So happy you are with brainly

Step-by-step explanation:

34

Simplify fully
4x2 + 4x
2x² – 2

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Answer:

4 × 2 = 8 + 4 = 12 × 2 = 24 - 2 = 22

22 is the FINAL answer

#carryonlearning

Pay the bill using the fewest possible bills/coins

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Answers:

Open the pdf below and youll find what you need. also do the largest bills you can.


help pls pls pls シ

And thanks!

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Answer:

the answer the 10.25 u move both decimals over and move it up to the top and divide like normal

HELP ASAP PLEASE
What’s the answer

Answers

Answer:

Step-by-step explanation:

function 2

The average weekly salary of two employees is $5250. One makes $500 more than the other. Find their salaries.

Answers

Answer: thier salaries are $5000 and $5500

Step-by-step explanation:

Let the average weekly salary of one employee be =x

And that of the other employee be = x+500

Such that if thier average of their salaries= $5250

So, their total salary=  $5250 x 2=10,500

The  equation  to solve each employee salary becomes

x+x+500=10,500

2x+500=10,500

2x=10,500-500

2x=10,000

x=10,000 /2

x= first employee salary =$5000

second employee =   x+500 =$5500

help please thanks plsss

Answers

Answer:

A

area = 256 inches²

side = √256 = 16 inches

B

0.0063 inch = 6.3 × 10^-3

PLEASE HELP ASAP ???

Answers

Answer:

-1

Step-by-step explanation:

the price per gallon of gas with a $7 car wash is $3.19 and the price without the car wash is $3.39. When is it worth it to buy the car wash? When is it worth it if the car wash costs $2?

Answers

Answer:

The price per gallon of gas with a $7 car wash is $3.19

Then if you purchase x gallons of gas and also pay for the car wash, the total cost is:

C(x) = $7 + $3.19*x

In the case that you do not pay for the car wash, the cost per gallon is $3.39

Then the cost for x gallons of gas in this case is:

K(x) = $3.39*x

When is it worth it to buy the car wash?

We need to sett the equations:

C(x) = K(x)

This means that you pay exactly the same in both cases, but in one ( C(x)) you get the car wash and in the other not.

Then we need to solve:

$7 + $3.19*x = $3.39*x

$7 = ($3.39 - $3.19)*x = $0.20*x

$7/$0.20 = x = 35

Then for 35 gallons, is worth to buy the car wash.

In the case where the car wash costs $2, then the equation C(x) becomes:

C(x) = $2 + $3.19*x

Then if we solve the same equation:

C(x)  =K(x)

$2 + $3.19*x = $3.39*x

$2 = ($3.39 - $3.19)*x

$2 = $0.20*x

$2/$0.20 = x

10 = x

Then for 10 galons is whort  buy the car wash.

Marina will attend choir practice for 2-
hours on Saturday, 24 hours on Sunday,
and 3 hours on Monday. Next week,
Marina will attend choir practice for the
same number of hours on Saturday,
Sunday, and Monday.
What is the total number of hours
Marina will have choir practice over
these 6 days?

Answers

Answer:

58

Step-by-step explanation:

1).2+24+3 = 29

2) 29 x 2 = 58

Jenny is dog sitting for 13 dogs. One runs away, and she is not sure which one. There were 3 Labradors (L), 2 Golden Retrievers (G), 3 Dalmatians (D), 4 terriers (T), and 1 bulldog (B) in the original group.
What is the size of the population of dogs that could have run away from Jenny?

1
5
11
13

Answers

Answer:

5

Step-by-step explanation:

It is 5 because she originally had 13. There are 5 types of dogs she was dog-sitting. There are 5 possible types of dogs that ran away.

Which of the following is true about the figure?

a. m MUC - m MUP = m PUC
b. m DUC + m VUA = m DUV
C. m MUC = m MUV = m VUA = m AUD
d. m CUA + m DUP = m PUM​

Answers

Answer:

a. m<MUC - m<MUP = m<PUC

Step-by-step explanation:

From the options given, the only statement that is true of the figure shown is:

a. m<MUC - m<MUP = m<PUC

Rationale:

m<MUC = m<MUP + m<PUC (Angle Addition Postulate)

Subtract m<MUP from each side

m<MUC - m<MUP = m<PUC

5m²+15m=0

t²-5t+6=0

5p²+12p+4=0

2a²+10a-48=0

x(2x+5)=0

Answers

Answer:

m=1, m= -3

t=3, t=2

p= -0.4, p= -2

a= 3, a= -8

x=0, x= -2.5

Answer:

I hope this helps a little bit.

It Is Not Fake

It Got Answers Promise

Question 17
17. Find the scale factor that was used in the dilation shown.

Answers

Answer:

We are missing a picture, we can't see the dilation they are referring to. The photo is just showing the answer options, so without the dilation it can't be answered.

Step-by-step explanation:

n a study to investigate whether vitamin C will prevent colds, 400 subjects are assigned at random to one of two groups. The experimental group takes a vitamin C tablet daily, while the control group takes a placebo. At the end of the experiment, the researchers calculate the difference between the percentage of subjects in the two groups who were free of colds. This difference is statistically significant (P=0.03) in favor of the vitamin C group.

Answers

Answer:

Step-by-step explanation:

The aim of this question is to see if we can infer and conclude that vitamin C has a good impact in preventing colds based on the evidence provided.

Null hypothesis: Vitamin C has no effect on preventing colds.

Alternative hypothesis: Vitamin C has a strong effect on preventing colds.

Assuming, significance level = 0.05

Since the p-value for the difference is 0.03 which is less than 0.05.

Hence, the null hypothesis is rejected (which is there is no effect of vitamin C).

As a result, it can be concluded that Vitamin C has a major impact on the prevention of colds.

Kathy bought 5 pencils for the price of $6.30. Which equation represents r, the cost, in dollars, of each pencil?
A.r=6.30+5
B.r = 6.30÷5
C.r=6.30×5
D.r=6.30−5

Answers

9514 1404 393

Answer:

  B.  r = 6.30÷5

Step-by-step explanation:

The cost per pencil is found by dividing the cost by the number of pencils.

Here, the cost is $6.30 and the number of pencils is 5. Then the cost per pencil (r) is ...

  r = 6.30 ÷ 5

someone please help me answer this!!

Answers

Answer:

c = 8.4m is the answer.

Step-by-step explanation:

a = 6m

b = 6m

c = ?

According to the Pythagorean theorem,

a² + b² = c²

6² + 6² = c²

36 + 36 = c²

c² = 72

c = 8.4m

∴ The mouse runs 8.4 m from the opposite corners of the room.

Answer:

8.5 m

Step-by-step explanation:

If you draw the segment from one corner to the opposite corner, you'll have the hypotenuse of a triangle with two legs of 6 m. We can find the length of the hypotenuse using the Pythagorean Theorem.

a^2 + b^2 = c^2

6^2 + 6^2 = c^2

36 + 36 = c^2

c^2 = 72

c = sqrt(72)

c = 6sqrt(2) = 8.5

Answer: 8.5 m

Which of the following is false about the figure?

a. m CUD = m VUM
b. M AUV + m DUA = 180
c. m MUC - m MUD = mzCUD
d. m PUD + m VUP = m PUM + m_CUA​

Answers

Answer:

d.

Step-by-step explanation:

Let's examine each statement:

Option A: m<CUD = m<VUM (CORRECT)

Rationale: vertical angles are congruent to each other.

Option B: m<AUV + m<DUA = 180 (CORRECT)

Rationale: angles on a straight line

Option C: m<MUC - m<MUD = m<CUD (CORRECT)

Rationale:

m<MUC = m<MUD + m<CUD

Subtract m<MUD from each side

m<MUC - m<MUD = m<CUD

Option D is FALSE

Rationale:

m<PUD + m <VUP = 180° (angles on a straight line)

m<PUM + m<CUA ≠ 180°

Therefore,

m<PUD + m<VUP = m<PUM + m<CUA IS FALSE.

What’s the answer to this question ?

Answers

Step-by-step explanation:

112=35+d

112-35=d

d=77

hope it helps u

subtract 35 from both sides and d= 77

Find the value of f(4) for the function

Answers

Answer:

f(4) = 7

Step-by-step explanation:

The notation for these type of problems is very confusing. Just remember that f(x) is the same thing as y (or some variable). Even if there is a number or something on the inside of the parentheses, it's still just a variable.

In our case

f(a) = 2(a + 4) -9

could be rewritten as

y = 2(a + 4) - 9

the thing on the inside of the parentheses signifies what the equation is dependent on.

so when is says f(4), it just want's you to trade out a for a 4, but the equation is still the same.

f(4) = 2((4) + 4) - 9

Now, just follow the order of operations

f(4) = 2(8) - 9

f(4) = 16 - 9

f(4) = 7

What type of angles are <5 and <6?

A. Vertical angles
B. Alternate exterior angles
C. Supplementary angles
D. Alternate interior angles​

Answers

Answer:

C

Step-by-step explanation:

Supplementary angles because their sum is 180 degrees

C. Supplementary angle

It is bot B or D because they arent alternating, they are in fact next to each other.
It is not A because it is not a 90 degree angle

original price $125 discount ? sale price $81.25

Answers

Answer:(125-81.25)/125 = 0.35 = 35%

Step-by-step explanation:

help plz plz plz ill give brain​

Answers

Answer:
5 Hours
Step-by-step explanation:
Given :- 2 hours can be earned each day if she eats all of her vegetables and does all of her chores.
Saved hours at the start of the week = 3 hours
Hours earned in 4 days = 2 hours × 4
= 8 hours
Hours used in 4 days = 6 hours
Hours left after 4 days = Saved hours at the start of the week + Hours earned in 4 days - Hours used in 4 days
Hours left after 4 days = 3 + 8 - 6
= 5 hours

Three triangles are drawn on the same piece of paper such that no two sides are on the same line. What is the maximum number of points of intersection of the three triangles?

Answers

Answer:

6

Step-by-step explanation:

Peter buried a treasure chest on a remote island and is.making a map so he can find it later. One of the key landmarks in the area is a small rectangle hut, 5m by 8m

Answers

Where’s the rest of the question?

Evaluate the indicated limit algebraically. Change the form of the function where necessary. Please write clearly with description of each step, thank you very much.
3x^2+4.5
________
x^2-1.5

lim
x → ∞

Answers

Answer:

[tex]\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}=3[/tex]

Step-by-step explanation:

We want to evaluate the limit:

[tex]\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}[/tex]

To do so, we can divide everything by x². So:

[tex]=\displaystyle \lim_{x\to \infty}\frac{3+4.5/x^2}{1-1.5/x^2}[/tex]

Now, we can apply direct substitution:

[tex]\Rightarrow \displaystyle \frac{3+4.5/(\infty)^2}{1-1.5/(\infty)^2}[/tex]

Any constant value over infinity tends towards 0. Therefore:

[tex]\displaystyle =\frac{3+0}{1+0}=\frac{3}{1}=3[/tex]

Hence:

[tex]\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}=3[/tex]

Alternatively, we can simply consider the biggest term of the numerator and the denominator. The term with the strongest influence in the numerator is 3x², and in the denominator it is x². So:

[tex]\displaystyle \Rightarrow \lim_{x\to\infty}\frac{3x^2}{x^2}[/tex]

Simplify:

[tex]\displaystyle =\lim_{x\to\infty}3=3[/tex]

The limit of a constant is simply the constant.

We acquire the same answer.

Amy and Sara's ages are consecutive even integers. The product of their ages is 528. If Sara is
younger, how old is Amy?
Write an equation that can be used to find their ages.

Answers

Answer:

24

Step-by-step explanation:

Sara = x age

Amy = x+2        when Sara  x = 22    Amy is x + 2 = 24

Product of ages = 528 so............

    x(x+2) = 528

    x² + 2x - 528 = 0     solve for x         I did it graphically first to get x = -24, 22

    (x+24) (x-22)  = 0

   (x+24) = 0         (x-22) = 0

           x = -24             x = 22        since you really can't have a negative age

                         

In a study of academic procrastination, the authors of a paper reported that for a sample of 451 undergraduate students at a midsize public university preparing for a final exam in an introductory psychology course, the mean time spent studying for the exam was 7.74 hours and the standard deviation of study times was 3.10 hours. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of students taking introductory psychology at this university.
(a) Construct a 95% confidence interval to estimate μ, the mean time spent studying for the final exam for students taking introductory psychology at this university. (Round your answers to three decimal places.) TWO VALUES
(b) The paper also gave the following sample statistics for the percentage of study time that occurred in the 24 hours prior to the exam.
n = 451 x = 43.78 s = 21.96
Construct a 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam. (Round your answers to three decimal places.)

Answers

Answer:

a) The 95% confidence interval to estimate μ is (7.435, 8.045) hours.

b) The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).

Step-by-step explanation:

Question a:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{3.3}{\sqrt{451}} = 0.305[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 0.305 = 7.435 hours

The upper end of the interval is the sample mean added to M. So it is 7.74 + 0.305 = 8.045 hours.

The 95% confidence interval to estimate μ is (7.435, 8.045) hours.

Question b:

90% confidence interval means that [tex]Z = 1.645[/tex]

The margin of error is:

[tex]M = 1.645\frac{21.96}{\sqrt{451}} = 1.701[/tex]

43.78 - 1.701 = 41.079%

43.78 + 1.701 = 45.481%

The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).

Please help me solve this problem and explain the steps

Answers

Answer:

1086ft squared

Step-by-step explanation:

Given that £1 = $1.62
b)
a) How much is £650 in $?
b) How much is $405 in £?

Answers

Answer:

A) £650 = $1053

B) $405 = £250

Step-by-step explanation:

For a) Since £1 is equal to $1.62 you would just do £650 times 1.62 to get $1053

For b) Since £1 is equal to $1.62 you would do $405 divided by 1.62 to get £250

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