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3 years ago

A box measures 6 inches by 2 inches by 3 inches. Find the volume of the box in cubic feet. Enter your answer as a fraction.

1 answer:

8 0

The measurements are in inches but the answer needs to be in feet, so we'll convert the numbers to feet first.

6"=1/2 ft
2"=1/6 ft
3"=1/4 ft

V=l×w×h
V=1/2*1/6*1/4
V=1/48 cubic ft

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A pebble falls of a cliff at a height of 256 ft. If the equation for the height as a function is h(t)=-16^2 + initial height whe

AlladinOne [14]

Answer:

After 4secs

Step-by-step explanation:

Given the function of the height expressed as;

h(t)=-16^2 + initial height

If initial height = 256, then;

h(t) = -16t^2 + 256t

The pebble will hot the ground at when h(t) = 0

Substitute

0 = -16t^2 + 256t

16t^2 = 256

t^2 = 256/16

t^2 = 16

t = 4

Hence the pebble will hit the ground after 4secs

6 0

2 years ago

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

What is the measure for the following ∠? m∠BOA 20 40 60

ad-work [718]

The answer to your question is 40

7 0

3 years ago

Read 2 more answers

DeAngelo is training for a half marathon. Today he is running 13.25 miles. He jogs for the first half hour at a rate of 5.5 mile

Nezavi [6.7K]

For this case, the first thing we must do is define a variable.
We have then:
p: rate in miles per hour for the last 1.5 hours
We now write the equation that models the problem.
We have then:
$(0.5) * (5.5) + 1.5p = 13.25
$
Rewriting we have:
$2.75 + 1.5p = 13.25
$
From here, we clear the value of p.
We have then:
$1.5p = 13.25 - 2.75

p = 10.5 / 1.5

p = 7$
Answer:
DeAngelo's rate for the last 1.5 hours of his run is 7 miles per hour.

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3 years ago

What is an equation perpendicular to y=-4/7x+9/7

Irina18 [472]

Y=7/4x+9/7 is an equation perpendicular to that

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2 years ago