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rodikova [14]
2 years ago
7

Solid metal support poles in the form of right cylinders are made out of metal with a density of 7.3 g/cm^3 3 . This metal can b

e purchased for $0.38 per kilogram. Calculate the cost of a utility pole with a radius of 8.7 cm and a height of 610 cm. Round your answer to the nearest cent.
Mathematics
1 answer:
sattari [20]2 years ago
6 0

The cost of the metals from the calculations performed is $ 402421.

<h3>What is density?</h3>

Density can be explained as a quantity having  mass per unit volume and this can be calculated as:

Mass of the metal = ?

Density of the metal =  7.3 g/cm^3

height of the metal = 610 cm

radius of the metal = 8.7 cm

Volume of a cylinder  can be calculated by using the formular below:

(\pi r^2h ) And this can be used by inserting the given values which is

= 3.142 * (8.7)^2 * 610 cm = 145068.97cm^3

Then we can calculate the mass as :

Mass = (density * volume)

= (7.3 g/cm3 * 145068cm^3)\\\\=1059003kg

=Since the cost is $0.38 per kilogram, then 3657 Kg costs

;( 1059003kg * $0.38)

= $ 402421

Learn more about density at: brainly.com/question/1578538

#SPJ1

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Alexis sold boxes of homemade granola bars for $8.50 each. It cost her $2.25 to bake and package each box of granola bars. What
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3 years ago
A survey was done on the number of people in eachcar leaving a Shopping
ycow [4]

Answer:

a) Mode number = 2

b) Median  = 64.5  = 4 people in car as 0.5 in 64.5 is close to 76

              = 4 people

c) Mean number is  505/6 =   84.1666666667 then we see where 84.16 lies and see this lies with =  3 people

Step-by-step explanation:

45  is 1

198 is 2

121 is 3

76 is 4

52 is 5

13 is 6

Mode we look for the highest frequency and see 198 is the amount and 2 people in car is the subject, we give the subject and that is 2 people in car is the highest frequency and would be the mode.

Median is shown in the answer as we add up.

Mean we add up all frequency and divide by the amount of subjects = 6.

a) Mode number = 2

b) Median = 13, 45, 52, here 76, 121, 198    mid number between

             = (76-52 )/ 2  + (52)= 24 /2 + (52) = 12 + 52 + 0.5 if even number    

median  = 64.5  in a cumulative graph though which is not asked here it would be exactly half of 505 = 257.5 and interquartile we half again and add on 257.5 and show the range values interquartile as 1/2(252.5) and 1/2(252.5+ 505) = 126.25 as one value and 757.5 as the other by drawing a horizontal line from y axis to the points so vertical lines can represnt the cars median and interquartile.

c. Mean number is  505/6 =   84.1666666667 then we see where 84.16 lies and see this lies with 3 seats

For cumulative frequency we can relist numbers like this

45

45 +198 = 243

243 +  121 = 364

364+76 = 440

440 + 52 = 492

492+13 = 505 to plot graph.

But if there was group of measures or time etc then we would always plot the highest of each set for cumulative x axis and use the 2 values to see the ratio for histograms ie) 198/2 = 99 so that all values are read in equal proportions and 2 is a data below the graph not on the graph as 2 does not show as a box count just a name below on x axis. So we have to use the ratio as explained for histograms.

8 0
3 years ago
Jackie Rotter took out a loan of $20,000 to be repaid at end of 7 months in one payment with interest at 11 1/2 %. How much was
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3 years ago
The grade received on a certain teacher's 100-point test varies in direct proportion to the amount of time a student spends prep
dolphi86 [110]

Answer:

She would receive 96 points

Step-by-step explanation:

The grade (Y) received on a certain teacher's 100-point test varies in direct proportion to the amount of time(t) a student spends preparing for the test.

Mathematically

Y= kt

Where k is constant of proportionality

If y= 72 and t= 3

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72/3= k

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So

Y= 24t

If t= 4

Y= kt

Y= 24(4)

Y= 96

Y = 96 points

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8 0
3 years ago
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