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Solnce55 [7]
3 years ago
12

When water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tan

k per second to cAh 2gh , where c (0 < c < 1) is an empirical constant. Determine a differential equation for the height of the water h at time t > 0. The radius of the hole is 6 in., g = 32 ft/s2, and the friction/contraction factor is c = 0.6. (Assume the removed apex of the cone is of negligible height and volume.)

Mathematics
1 answer:
Romashka [77]3 years ago
3 0

Answer:

The explanation is given in the attachment.

Step-by-step explanation:

The step by step explanation and careful derivation is as shown in the attachment.

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A square room of volume 900 m’has a door of
Delicious77 [7]

1687.5/7.5

=225

225×12.5

=2812.5

5 0
2 years ago
A rowing team rowed 90 miles while going with the current in the same amount of time as it took to row 10 miles going against th
pishuonlain [190]

Answer:

The speed in still water is 5 miles per hour.

Step-by-step explanation:

distance with current = 90 miles

distance against current = 10 miles

speed in still water = s

speed of current = 4 mph

speed with current = s + 4

speed against current = s - 4

time = t

speed = distance/time

distance = speed * time

With current:

90 = (s + 4) * t

Against the current:

10 = (s - 4) * t

We have a system of equations:

90 = (s + 4) * t

10 = (s - 4) * t

90 = ts + 4t

10 = ts - 4t

Subtract the second equation from the first equation.

80 = 8t

10 = t

t = 10

10 = t(s - 4)

10 = 10(s - 4)

1 = s - 4

s = 5

Answer: The speed in still water is 5 miles per hour.

8 0
3 years ago
Robert has a container in the shape of a cube with an edge length of 6.1 cm. What is the volume of the container? Enter your ans
pickupchik [31]
226.981 I think Because you have to multiply 6.1*6.1*6.1
5 0
3 years ago
-2(m + 4) = 40 please help
malfutka [58]
-2(m + 4) = 40
The first step is to use the distributive property to clear the parenthesis
-2 * m + -2* 4 = 40
-2m - 8 = 40
next, to isolate the variable, add 8 to both sides
-2m - 8 + 8 = 40 + 8
-2m = 48
the last step is to get rid of the multiplication by -2 we will divide by -2
(-2m)/-2 = 48/-2
m = -24
3 0
3 years ago
The bill at an electronics store was $91 before tax. Tax is 8% of the original price. What is the total price with tax
solmaris [256]

Answer:

98 and 7/25

Step-by-step explanation:

91x2/25+91=total price

182/25+91=total

7 and 7/25+91=total

total=98 and 7/25

3 0
3 years ago
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