A company makes paper labels for paint cans. As shown below, each can is in the shape of a cylinder
with a height of 7 cm and a radius of 2 cm. The paper label is wrapped around the can and covers only
the side of the can (not the top or bottom). The company uses, on average, 3612.64 cm² of paper
each minute making these labels. How many labels does the company make, on average, each
minute?
For your calculations, do not round any intermediate steps, and use the button on a calculator. Round
your answer to the nearest hundredth.

A Company Makes Paper Labels For Paint Cans. As Shown Below, Each Can Is In The Shape Of A Cylinderwith

Answers

Answer 1

The company needs 41 labels on average, each minute.

What is the circumference of a circle?

The perimeter of a circle (circumference): 2 π radius

Replacing with the values given:

C = 2 (3.14) 2 = 12.56 cm

So, the area of one label is:

Area of a rectangle: length x width = 12.56 x 7 = 87.92 cm sq.

Now, the number of label be n

87.92 x n = 3612.64 cm2

n = 3612.64 / 87.92

n = 41.09

Hence, The company needs 41 labels on average, each minute.

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Related Questions

A baby weighed only 8.7 ounces at birth. How much lighter was she than an average baby, who weighs about 7 lb 8 ounces?

Answers

The baby is 111.3 ounces or 6.96 pounds lighter than an average baby.

What is weight ?

Weight is the measurement of Gravitational force on an object.

It can be zero as in the space.

It is given in the question that

A baby weighed only 8.7 ounces at birth

weight of an average baby is 7lb 8 ounces

1 lb = 16 ounce

an average baby weight = 7 * 16 +8 = 120 ounces

The baby weight is just 8.7 ounces

so the baby is 120-8.7 = 111.3 ounces lighter than an average baby.

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In a vacancy for a position of animal breeder in an organization, then criteria of selection were work experience, entrance exam, and interview results. The relative importance of these criteria was regarded to be different. The weights of these criteria and scores obtained by 3 candidates (out of 100 in each criterion) are given in the following table. In addition, the selection of a candidate is based on the average result on these criteria, (full question attached)​

Answers

Answer:

To determine the most suitable candidate we will calculate their total scores and see who's the best.

first for mr X

work experience = 70

score = work experience x wieght = 70 x 4 = 280

Entrance = 78

score = 78 x 3 = 234

Interview = 70

score = 70 x 4 = 210

total score = 280 + 234 + 280 = 794

for mr Y

Work experience = 89

score = 89 x 4 = 356

Entrance = 83

score = 83 x 3 = 249

Interview = 89

Score = 89 x 4 = 356

Total score = 356 + 249 + 356 = 961

for mr Z

work experience = 85

score = 85 x 4 = 340

Entrance = 89

Score = 89 x 3 = 267

Interview = 85

Score = 85 x 4 = 340

Total score = 340 + 267 + 340 = 947

So as we can see Mr Y has best score therefore I think he's the best for the job.

Explanation:

[tex]\sf Average \ Result : \dfrac{sum \ of \ value \ of \ scores}{sum \ of \ weight}[/tex]

Workout:

[tex]\sf For \ candidate \ X = \dfrac{70 \ \cdot \ 4 \ + 78 \ \cdot \ 3 \ + 70 \ \cdot \ 4 }{4 + 3 + 4} = 72.18 \ \ average \ score[/tex]

[tex]\sf For \ candidate \ Y = \dfrac{89 \ \cdot \ 4 \ + 83 \ \cdot \ 3 \ + 89 \ \cdot \ 4 }{4 + 3 + 4} = 87.36 \ \ average \ score[/tex]

[tex]\sf For \ candidate \ Z = \dfrac{85 \ \cdot \ 4 \ + 89 \ \cdot \ 3 \ + 85 \ \cdot \ 4 }{4 + 3 + 4} = 86.09 \ \ average \ score[/tex]

Conclusion:

Among all of them, candidate Y has the best average score of about 87.36 whereas candidate Z has second best score of 86.09 average score and candidate X has the least average score of 72.18.

Candidate Y is the appropriate candidate for this position on the criteria.

The function f(x) = 2·5x can be used to represent the curve through the points (1, 10), (2, 50), and (3, 250). What is the multiplicative rate of change of the function? 2 5 10 32

Answers

The multiplicative rate of change of the function f(x) = 2 × 5ˣ is 5.

What is Exponential Function?

An exponential function is a type of function in math that involves exponents. A basic exponential function is of the form f(x) = bˣ, where b > 0 and b ≠ 1.

The function is given as:

f(x) = 2 X 5ˣ

The above function is an exponential function.

An exponential function is represented as:

f(x) = abˣ

Where b represents the multiplicative rate

By comparison;

b = 5

Thus, the multiplicative rate of change of the function is 5.

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Answer:

B!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Help please I need asap

Answers

Answer: -120

Step-by-step explanation:

[tex]2\sum^{4}_{p=1} (p^{2}-9p)=2[(1^{2}-9(1))+(2^{2}-9(2))+(3^{2}-9(3))+(4^{2}-9(4))]=\boxed{-120}[/tex]

find the roots of x^4-1=0​

Answers

Answer:

x = +1

x = -1

Step-by-step explanation:

x^4-1=0​

x^4=+1​

fourth root of x^4= fourth root of +1​

x = +1

x = -1

22. A 1 m high pole is fixed vertically on the ground at a point 50√3 m far from the foot of a building. If the angle of elevation from the top of the pole to the top of the building is 30°, what is the height of the building? A. 150 m B. 51 m C. 151 m D. 50m​

Answers

Answer:

This is my answer↓:

Step-by-step explanation:

For a population with μ = 60 , X=81, and σ = 12. Find the z-score for 81.

Answers

The z-score for 81 is 1.75

How to determine the z-score for 81?

The given parameters are:

μ = 60 , X=81, and σ = 12

The z scores is calculated using:

[tex]z = \frac{x - \mu}{\sigma}[/tex]

Substitute the given values

[tex]z = \frac{81 - 60}{12}[/tex]

Evaluate the difference

[tex]z = \frac{21}{12}[/tex]

Simplify

z = 1.75

Hence, the z-score for 81 is 1.75

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What is the solution to 8t+3(t+4) =6(t-3)

Answers

Answer:

t = - 6

Step-by-step explanation:

8t + 3(t + 4) = 6(t - 3) ← distribute parenthesis on both sides )

8t + 3t + 12 = 6t - 18 , that is

11t + 12 = 6t - 18 ( subtract 6t from both sides )

5t + 12 = - 18 ( subtract 12 from both sides )

5t = - 30 ( divide both sides by 5 )

t = - 6

Which expression can be used to calculateof formalin needed make this batch of 3200 pd the amount? The batch sugar 3% water 39% formalin 44% melamine 14% total 100 amount of pounds equal 3200

Answers

The appropriate expression to identify the amount of formalin is: x = 3200 ÷ 100 × 44%

How to identify the amount of formalin?

To calculate the amount of formalin in this substance we must perform the following mathematical operation:

3200 ÷ 100 = 3232 × 44% = 1,408

According to the above, the mathematical expression would be:

X = 3200 ÷ 100 × 44%

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write an exponential expression that shows (10 to the power of 4) to the power of 4 simplified

Answers

Answer: it could be

[tex](10^{4} ) ^{4}[/tex]

Step-by-step explanation:


Which transformations will produce similar, but not congruent, figures?
Select each correct answer.
Square ABCD is dilated by a scale factor of and then translated 1 unit right to form square A” B" C"D"
Square ABCD is translated 8 units right and 8 units up and then reflected across the y-axis to form
square A"B" C"D"
Square ABCD is reflected across the x-axis and then dilated by a scale factor of 2 to form square A" B" C"D"
Square ABCD is rotated 270" clockwise and then dilated by a scale factor of to form square A" B”C” D”

Answers

Answer:

The correct answers are A B D

Step-by-step explanation:

hope this helped!

Based on the vertical bar chart below, in which of the following months were just over 10% of professional European soccer players
born?
March
B) January
April
May
Professional European soccer player birth months
Relative frequency (%)
20%
15%
10%
5%
Jan Feb Mar Apr May Jun
ایل
Month
....
Aug Sep Oct Nov Dec

Answers

By critically observing the vertical bar chart, only the month of May had a birth of just over 10%.

What is a bar chart?

A bar chart refers to a type of chart that is used for the graphical representation of a data set, especially by using rectangular bars or vertical columns.

Based on the vertical bar chart (see attachment), the relative frequency (&) with the birth of over 10% are:

Jan Feb Mar Apr May

However, only the month of May had a birth of just over 10%.

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What is the length of BC¯¯¯¯¯?

Answers

Answer:

meight you gotta do better then that

Step-by-step explanation:

a picture is probably necessary

1. EL precio a la venta de una impresora de inyección de tinta es de $285.000 incluida una Ganancia del 35%. ¿cuánto le cuesta a la tienda cada impresora?

Answers

Excluyendo el componente de ganancia del coste para el consumidor según (1), la impresora tuvo un coste de $ 211.111,11 para el vendedor.

¿Cómo encontrar el precio de una impresora sin ganancia?

En el enunciado tenemos el precio de una impresora para el consumidor, el cual comprende el dinero invertido por vendedor más la ganancia esperada. Este indicador observa la siguiente fórmula:

C' = C · (1 + r/100)     (1)

Donde:

C - Coste asumido por el vendedor, en unidades monetarias.C' - Coste para el consumidor, en unidades monetarias.r - Tasa de ganancia, en porcentaje.

Si sabemos que C' = $ 285.000 y r = 35 %, entonces el coste asumido por el vendedor es:

285.000 = 1,35 · C'

C' ≈ 211.111,11

Excluyendo el componente de ganancia del coste para el consumidor según (1), la impresora tuvo un coste de $ 211.111,11 para el vendedor.

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What is the value of 6¹?
6° = 1
6 = 6
6 = 36
6 = 216

A.220
B.240
C.864
D.1,296

Answers

Answer: D

Step-by-step explanation:  

6^4 = 6 x 6 x 6 x 6 = 1,296

6^4 = 1,296


Find the smallest number such that
when divided by 18, the remainder
is 17, when divided by 20 the
remainder is 19 and when divided
by 24, the remainder is 23.

Answers

Answer:

I think the answer is 7

don't blame me if I'm wrong

Answer:

359

Step-by-step explanation:

the prime factors of the numbers are

18 = 2×3×3

20 = 2×2×5

24 = 2×2×2×3

the lowest common multiple is therefore

2×2×2×3×3×5 = 360

the difference between the checked divisor numbers and the expected remainder is constantly 1 :

18 - 17 = 1

20 - 19 = 1

24 - 23 = 1

so, we can deduct this constant 1 from the LCM and get the desired number :

360 - 1 = 359

verify :

359 ÷ 18 = 19 remainder 17

359 ÷ 20 = 17 remainder 19

359 ÷ 24 = 14 remainder 23

Task
On April 15, 1912, the Titanic struck an iceberg and rapidly sank with
only 710 of her 2,204 passengers and crew surviving. Data on survival
of passengers are summarized in the table below. (Data source:
http://www.encyclopedia-titanica.org/titanic-statistics.html)
a.
First class passengers
Second class passengers
Third class passengers
Total passengers
Survived
201
118
181
500
Did not survive
123
166
528
817
Total
324
284
709
1317
a. Calculate the following probabilities round your answers to three decimal points
i. If one of the passengers is randomly selected what is the probability that this passenger survived
iii. If one of the passengers is randomly selected what is the probability that this passenger was in first class and survived
iv. If one of the passengers is randomly selected from the first class passengers what is the probability that this passenger survived
v. If one of the passengers who survived is randomly selected what is the probability that this passenger was in first class
vi. If one of the passengers who survived is randomly selected what is the probability that this passenger was in third class?

Answers

The probability that a random passenger survived is 0.38

The probability that this passenger was in first class and survived is 0.153

The probability that the passenger in the first class survived is 0.620

The probability that the passenger that survived was in first class is 0.402

The probability that the passenger that survived was in third class is 0.362

What are the probabilities ?

The probability that a random passenger survived is 500 / 1317 = 0.38

The probability that this passenger was in first class and survived is 201 / 1317 = 0.153

The probability that the passenger in the first class survived is:  201 /324 = 0.620

The probability that the passenger that survived was in first class: 201/500 = 0.402

The probability that the passenger that survived was in third class is: 181 / 500 = 0.362

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Which of the numbers below are whole numbers?
A. 6282
B. 650
C. 87
D. 99.8
E. 442.49
F. 1/10

Answers

Answer:  A B C

Step-by-step explanation:

A whole number is like 1,500 and a nonwhole number is like 33.2 or like 55/100.  

And have a good day.

10 points need help finding area

Answers

Answer:

8 un^2

Step-by-step explanation:

to find this answer you must find the area of the rectangle and then the triangle

the rectangles area is

2 * 3 = 6 un^2

the traingle is

2 * 2 * 1/2 = 2 un^2

now you add them

6 + 2 = 8 un^2

Area is 8.:)))))))))))))

A line has slope Four-thirds. Through which two points could this line pass?

Answers

Answer:

Two points this line can pass through (1, 4/3) and (2, 8/3)

Step-by-step explanation:

The equation of the line is written in the slope-intercept form,

y = mx + b

where m represents the slope

          b represents the y-intercept

where the format of a point is (x, y)

Given:

slope = 4 / 3equation: y = 4/3x

we can plug in a number for x to find y

when x = 0,

y = 4/3(0)

y = 0

point: (0,0)

when x = 1,

y = 4/3(1)

y = 4/3

point: (1, 4/3)

when x = 2,

y = 4/3(2)

y = 8/3

point: (2, 8/3)

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what is π x 5
please tell me the answer as quick

Answers

Pi: 22/7
Pi x 5 = 22/7 x 5

15.71428571428571

Please help! Which choice belongs in space number 3?

Answers

Answer:

The Answer is [B]

Step-by-step explanation:
i actually dont have one

Answer:

∠MOP ≅ ∠NOQ

Step-by-step explanation:

Vertical Angle Theorem

When two straight lines intersect, they form two pairs of angles.  The vertically opposite (non-adjacent) angles are congruent.

Therefore:

∠MON ≅ POQ  and  ∠MOP ≅ ∠NOQ

Please assist with the following questions​

Answers

The answers for following questions are;

i. $244.64

ii. $ 5314.64

What is future value?

Future value (FV) is the value of a current asset at a future date based on an assumed rate of growth. The future value is important to investors and financial planners, as they use it to estimate how much an investment made today will be worth in the future.

Here, future value or amount;

          A = P(1 + r)ⁿ

Where,

A = future value = ?

P = principal = $ 12,300

r = interest rate = 6%/12 = 0.06/12 = 0.005

n = number of periods = 12 X 6 years = 72

A = P(1 + r)ⁿ

= 12,300(1 + 0.06/12)⁷²

= 12300 (1 + 0.005)⁷²

= 12300 (1.005)⁷²

= 12300 (1.4384)

= 17,614.64

Each monthly payment = Total payment / number of months

= $17,614.64 / 72

= $ 244.64

Total amount of interest = Total payment - Principal payment

                                          =   17,614.64 - 12300

                                          =   $ 5314.64

Thus, The answers for following questions are;

i. $244.64

ii. $ 5314.64

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Determine whether it is a function

Answers

Answer:

Relation 3 is not a function, as s has two outputs: tree and desk. Relation 4 is not a function for the same reason. -1 has three outputs: -2, -4, and -7.

What is the present value of a cash inflow of 1250 four years from now if the required rate of
return is 8% (Rounded to 2 decimal places)?

Answers

Using simple interest, it is found that the present value of the cash inflow is of 947.

Simple Interest

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

A(t) = A(0)(1 + rt)

In which:

A(0) is the initial amount.r is the interest rate, as a decimal.

In this problem, the parameters are given as follows:

r = 0.08, t = 4, A(t) = 1250.

We have to solve for A(0) to find the present value, hence:

A(t) = A(0)(1 + rt)

1250 = A(0)(1 + 0.08 x 4)

A(0) = 1250/1.32

A(0) = 947.

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Which of the following sets represents the range of the diagram below?​

Answers

The set that represents the range of the diagram below is given as follows:

B. {3, 5, 7}.

What is the range of a data-set?

It is the set that contains all possible output values.

In the diagram, we have that:

The input values are: {1,2,3,4,5}.The output values are: {3,5,7}.

Hence the set that represents the range of the diagram below is given as follows:

B. {3, 5, 7}.

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The movement of the progress bar may be uneven because questions can be worth more or less (including zera
Round 608 to the nearest hundred.
O 610
Type here to search
O 700
O 500
O 600
4
Oi
1

Answers

Answer:

600

Step-by-step explanation:

Because the tens digit is less than 5, round down to 600

answer: 610 because you started at 608 and u need to get the nearest 10

A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.32.
a. Compute the value of the test statistic

Answers

The value of the z test statistic will be 2.55.

What is the z test statistic?

The z test statistic is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z test statistics is given as

z = (x – μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

A sample of 25 provided a sample mean μ = 14 and a sample standard deviation σ = 4.32.

Then the value of the z test statistic will be

z = (x – μ) / σ

z = (25 - 14) / 4.32

z = 11 / 4.32

z = 2.546 ≈ 2.55

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A hose fills a hot tub at a rate of 5.2 gallons per minute. How many minutes will it take to fill a 600 gallon hot tub? (nearest tenth)

Answers

Answer:

115.38 is what I got when I tryed to work it out

y = 5x+1150Use your functions to calculate the total cost for each fridge after 6 months.

New Fridge:

Answers

Answer:

[tex]x = \frac{y - 1150}{5} [/tex]

Step-by-step explanation:

[tex]y - 1150 = 5x \\ \frac{y - 1150}{5} = x \\ x = \frac{y - 1150}{5} [/tex]

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