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polet
7 days ago
10

A cylindrical tank has a radius of 2 m and a height of 9 m. The tank is filled with water. Find the work needed to pump the top

3 m of water out the top of the tank. (Use 9.8 m/s2 for g and the fact that the density of water is 1000 kg/m3.)
Mathematics
1 answer:
Leona [9.2K]7 days ago
8 0
The required work to pump water is 3,325,140 Joules. Step-by-step explanation: Work done by the pump is calculated by multiplying the force exerted on the pump by the distance the water is moved. Force equates to mass multiplied by gravitational acceleration. Consequently, Force = (water density × tank volume) × gravitational acceleration, leading to F = ρVg. Therefore, Work done = (ρVg) * d. Given the values of ρ = 1000 kg/m³, g = 9.8 m/s², d = 3 m, we compute the work done: Work = 1000 * 113.10 * 9.8 * 3 = 3,325,140 Joules.
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13 days ago
Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k. k = ______ Graph of two lines. f of x equa
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Solution:

We know, g(x) = f(x) + k --------(1)

It is given that f(x) = \frac{1}{3}(x+2)

and g(x) = \frac{1}{3}(x+5)

Substituting f(x) and g(x) into equation (1):

→ \frac{1}{3}(x+5) = \frac{1}{3}(x+2) + k

→ \frac{1}{3}[x+5-x-2] = k

→ k = \frac{1}{3} \times 3=1

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7 0
26 days ago
The data set represents the total number of people who bought bananas each hour at a grocery store.
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4 days ago
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At a certain company, loan agents are paid based on the number of loans they close in a day. Based on company records, the numbe
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Answer:

C. The mean daily salary is not above $350 per day

Step-by-step explanation:

The calculation is displayed below:

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where,

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b = $50

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Now

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Consequently,

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therefore, option C is incorrect

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