What is 7 (x+3) -7 = y simplified

A bucket that weighs 4 lb and a rope of negligible weight are used to draw water from a well that is 60 ft deep. The bucket is f

jonny [76]

Answer:

2580 ft-lb

Step-by-step explanation:

Water leaks out of the bucket at a rate of $\frac{0.15 \mathrm{lb} / \mathrm{s}}{1.5 \mathrm{ft} / \mathrm{s}}=0.1 \mathrm{lb} / \mathrm{ft}$

Work done required to pull the bucket to the top of the well is given by integral

$W=\int_{a}^{b} F(x) dx$

Here, function $F(x)$ is the total weight of the bucket and water $x$ feet above the bottom of the well. That is,

$F(x)=4+(42-0.1 x)$

$=46-0.1x$

$a$ is the initial height and $b$ is the maximum height of well. That is,

$a=0 \text { and } b=60$

Find the work done as,

$W=\int_{a}^{b} F(x) d x$

$=\int_{0}^{60}(46-0.1 x) dx$

$&\left.=46x-0.05 x^{2}\right]_{0}^{60}$

$=(2760-180)-0[$

$=2580 \mathrm{ft}-\mathrm{lb}
$

Hence, the work done required to pull the bucket to the top of the well is $2580 \mathrm{ft}- \mathrm{lb}$

4 0

3 years ago

One hundred people are surveyed and asked if they trust candidate A or candidate B or candidate C in a local election. People ar

ElenaW [278]

Answer:

5 people trust none of the candidates

Step-by-step explanation:

To know how many people surveyed trust none of the candidates we need to find:

People that trust all three candidates: 5
People that just trust candidate B and C: This is equal to people that trust candidate B and C less people that trust all three candidates. So it is equal to: 17 - 5 = 12
People that just trust candidate A and C: This is equal to people that trust candidate A and C less people that trust all three candidates. So it is equal to: 12 - 5 = 7
People that just trust candidate A and B: This is equal to people that trust candidate A and B less people that trust all three candidates. So it is equal to: 7 - 5 = 2
People that just trus candidate C: This is equal to the people that trust candidate C less people that just trust candidate B and C less people that just trust candidate A and C less people that trust all three candidates. So, it is equal to: 48 - 12 - 7 - 5 = 24
People that just trus candidate B: This is equal to the people that trust candidate B less people that just trust candidate B and C less people that just trust candidate A and B less people that trust all three candidates. So, it is equal to: 44 - 12 - 2 - 5 = 25
People that just trus candidate A: This is equal to the people that trust candidate A less people that just trust candidate A and C less people that just trust candidate A and B less people that trust all three candidates. So, it is equal to: 34 - 7 - 2 - 5 = 20

Therefore, we can calculate how many people surveyed trust at least one candidate by the sum of the previous quantities as:

5 + 12 + 7 + 2 + 24 + 25 + 20 = 95

Finally, there are 100 people surveyed and 95 people trust at least one candidate, so 5 people trust none of the candidates.

3 0

3 years ago

Read 2 more answers

These are to be written but silly old me needs some help.

Maslowich

In Pattern 1, they all contain the blue points. In Pattern 2, they all seem to share a center point. I'm not sure about Challenge 1 though.

5 0

3 years ago

Can you use Pythagorean Theorem to find the missing side? Why or why not?

Dvinal [7]

No. You cannot use the Pythagorean theorem to find the missing side, because you can only use The Pythagorean theorem when you are dealing with a right triangle.

4 0

3 years ago

Find the 32nd term of sequence described by the explicit formula. F(n)=-3-4(n-1)

Korolek [52]

Answer:

-127

Step-by-step explanation:

n = 32

-3 - 4(32 - 1)

-3 - 4(31)

-127

3 0

3 years ago