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3 years ago

52 = 1/2* (190 - 2x)

Mathematics

1 answer:

Degger [83]3 years ago

6 0

Are these two seperate equations or the same one???

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A bucket that weighs 5 lb and a rope of negligible weight are used to draw water from a well that is 60 ft deep. The bucket is f

mestny [16]

Answer:

The value is $W= 2640 \ ft \cdot lb$

Step-by-step explanation:

From the question we are told that

The weight of the bucket is $F = 5 lb$

The depth of the well is $x_1 = 60 \ ft$

The weight of the water is $W_w = 42 lb$

The rate at which the bucket with water is pulled is $v = 1.5 \ ft/s$

The rate of the leak is $r = 0.15 lb/s$

Generally the workdone is mathematically represented as

$W = \int\limits^{x_1}_{x_o} {G(x)} \, dx$ ]

Here G(x) is a function defining the weight of the system (water and bucket ) and it is mathematically represented as

$G(x) = F + (W_w- Ix)$

Here I is the rate of water loss in lb/ft mathematically represented as

$I = \frac{r}{v}$

=> $I = \frac{0.15 }{1.5 }$

=> $I = 0.1$

$G(x) = 5 + (42- 0.1x)$

=> $G(x) = 47- 0.1x)$

$W = \int\limits^{60}_{0} {47- 0.1x} \, dx$ ]

=> $W = [47x - \frac{0.1x^2}{2} ]|\left 60} \atop {0}} \right.$

=> $W= [47(60) - 0.05(60)^2]$

=> $W= 2640 \ ft \cdot lb$

7 0

3 years ago

Solve the quadratic equation.<br> 2x2 + 35 = 17x

atroni [7]

Get it to equal 0

minus 17x from both sides

2x²-17x+35=0

tricky part
get something like
(2x-a)(x-b)
we know the signs are negative since the middle term is negative and last term is positive

so a and b are either 1 and 35 or 5 and 7

(2x-1)(x-35), nope
(2x-35)(x-1) nope
(2x-5)(x-7), nope
(2x-7)(x-5), yep

(2x-7)(x-5)=0
set to zero
2x-7=0
2x=7
x=7/2

x-5=0
x=5

x=7/2 and 5

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3 years ago

Ok so how do I make a forehead thermometer say I'm sick

Ivahew [28]

Look down or and try ways to get your face to feel warm, hot, blush.

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2 years ago

How to divide 4 digits by 2 digits

Liula [17]

oh its easy its just 4 divided by 2 but the answer is 2 digits as you say it.

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3 years ago