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3 years ago

What is the solution to the exponential equation 5^2n

Mathematics

1 answer:

GuDViN [60]3 years ago

7 0

B.) 3/2
i hope this helped

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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

Danielle plotted 3 points from the equation y = 4x on this coordinate grid. She drew a straight line through the points.

barxatty [35]

You can find any ordered pair in which the y coordinate is 4 times the x coordinate.

For example, an ordered pair could be (2,8) or (5,20)

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3 years ago

The perimeter of a rectangular pig pen is 310 ft. The length is 15 ft greater than the width. Find the width

Anuta_ua [19.1K]

Width is 70 because 310-30=280
280/4=70

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4 years ago

A total materials variance is analyzed in terms of

Natali5045456 [20]

Entry field with correct answer
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2 years ago

Help plz. Brainlest and 5 stars and thanks if right :)

yuradex [85]

Answer:

Step-by-step explanation:

just look at 11 1/4, which is equals to 11 2/8. she recorded 3, and c is the only one which corresponds :) lmk if im wrong tho, the picture is kind of blurry

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3 years ago