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miss Akunina [59]
3 years ago
9

Consider a can in the shape of a right circular cylinder. the top and bottom of the can is made of a material that costs 4 cents

per square centimeter, and the side is made of a material that costs 3 cents per square centimeter. we want to find the dimensions of the can which has volume 72 π cubic centimeters, and whose cost is as small as possible. (a) find a function f(r) which gives the cost of the can in terms of radius r. be sure to specify the domain. (b) give the radius and height of the can with least cost. (c) explain how you known you have found the can of least cost.
Mathematics
1 answer:
SVEN [57.7K]3 years ago
5 0
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An Elevator descends into a mine shaft at the rate of 5m/min. If the descend starts from 15m above the ground, how long will it
zhenek [66]
First of all, assuming that the "ground level" is 0; 

The lift is not starting from 0, so we also need to account for the extra 15 meters above the ground the lift is. 

The total distance the lift would cover in the downward direction: 15+350=365m

Now, you know that the lift covers 5 m/min

Therefore, 5x=365 (ignoring units because they can complicate things) 

x=365/5 
x=73 minutes 

Therefore, they would take 73 minutes to reach 350 m deep into the ground with a starting position 15 m above the ground. 

Hope I helped :) 
5 0
3 years ago
The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula P
mixas84 [53]

Answer:

9.54731702 astronomical units

Step-by-step explanation:

P=a^{\frac{3}{2} }

Substitute this value in the equation above:

29.5=a^{\frac{3}{2} }

⇒ (29.5)^{\frac{3}{2} } =a

⇒ a=9.54731702 astronomical units

Hence, its distance from the sun is 9.54731702 astronomical units.

7 0
3 years ago
25% discount for AED 4000
Lostsunrise [7]

Answer:

The 25% discount on AED 4000 will be: 1000 AED

Step-by-step explanation:

Given

  • The amount = 4000
  • Discount = 25%

In order to determine a 25% discount on the amount AED 4000, all we need means is to multiply 25/100 or (0.25) by 4000.

i.e

Discount amount = 25% of 4000

                             = 25/100 × 4000

                             = 0.25 × 4000

                             = 1000 AED

Thus, the 25% discount on AED 4000 will be: 1000 AED

5 0
3 years ago
a line with the slope of 1/3 passes through the points of (6,0). what is the equation in slope intercept form?​
sleet_krkn [62]

Answer:

y = 1/3x -2

Step-by-step explanation:

the equation for slope intercept form is y= mx + b.

m is the slope and b is where the line crosses the y-axis which is called the y-intercept.

to find the y-intercept plug in a coordinate on the line (6,0)

0 = 1/3(6) + b

then solve for b by first multiplying 1/3 by 6

0 = 2 + b

subtract 2 from both sides

-2 = b

and then you can plug b into the equation

y = 1/3x - 2

8 0
2 years ago
-0.2 as a decimal mixed number or a fraction​
Svetlanka [38]

Answer:

It is a mixed number because a fraction would be like 4/9.

Step-by-step explanation:

How you remember is that a decimal is in a place that makes it a mixed number,

5 0
3 years ago
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