If AB has a midpoint, the AB is Select one: a. a line segment b. a line c. a ray

A bucket that weighs 4lband a rope of negligible weight are used todraw water from a well that is 80ftdeep. The bucket is filled

liq [111]

Answer:

Workdone = 3200 lb.ft

Step-by-step explanation:

We are told that the bucket is filled with 40 lb of water but water leaks out of a hole in the bucket at a rate of 0.2lb/s

Thus,

Weight of water at any given time (t) would be;

w(t) = 40 - 0.2t - - - - (1)

We are told the bucket is pulled up at a rate of 2ft/s.

Thus, height at time (t); y = 0 + 2t = 2t

Since y = 2t,

Then,t = y/2

Put y/2 for t in eq 1

Thus; w(y) = 40 - 0.2(y/2)

w(y) = 40 - 0.1y

Now, at y = 80 ft, we have;

w(80) = 40 - 0.1(80)

w(80) = 40 - 8 = 32 lb

Since 32 lbs are left, it means there is always water in the bucket.

Thus, work done is;

W = 80,0[∫(Total weight).dy]

W = 80,0[∫[(weight of rope) + (weight of bucket) + (weight of water)]dy]

W = 80,0[∫[0 + 4 + 40 - 0.1y]dy]

Integrating, we have;

W = [44y - y²/20] at boundary of 80 and 0

So,

W = [44(80) - 80²/20] - [0 - 0²/20]

W = 3200 lb.ft

8 0

3 years ago

Which relationship describes angles 1 and 2?

Grace [21]

Sounds like your describing complementary angles (a pair of angles that add up to be 90 degrees) but not super sure based on that description you have there.

Tell me does it look like this:

4 0

3 years ago

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Question 1 / 1 Find the equation of the line through the points (3,6) and (-1, 1).

Alex73 [517]

Answer:

Now that the values of m (slope) and b (y-intercept) are known, substitute them into y=mx+b . to find the equation of the line.

y=5/4x+9/4

Step-by-step explanation:

Use y=mx+b to calculate the equation of the line, where m represents the slope and b represents the y-intercept.

To calculate the equation of the line, use the y=mx+b format.

Slope is equal to the change in y over the change in x , or rise over run.

m=(change in y)/(change in x)

The change in x

is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).

m=(y2−y1)/(x2−x1)

Substitute in the values of x and y into the equation to find the slope.

m=1−(6)/−1−(3)

Finding the slope m.

m=5/4

Find the value of b

using the formula for the equation of a line.

b=9/4

7 0

3 years ago

PLEASE PLEASE HELP ME! (brainliest) (functions)

MrRissso [65]

(3,5) (5,9) your welcome

6 0

3 years ago

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El caudal promedio del río chillón alcanzo 1,74 m3/s, cifra que representó un aumento de 5, 5% con relación al mes de agosto de

saul85 [17]

El caudal del río Chillón en agosto de 2.020 fue de 1,649 metros cúbicos por segundo.

Una lectura atenta al enunciado de la pregunta indica que el caudal promedio es 5,5 % mayor que el caudal del mes de agosto de 2.020. Por la definición de porcentaje tenemos la siguiente relación entre las dos cantidades:

$1,74\,\frac{m^{3}}{s} = \left(1+\frac{5,5}{100} \right)\cdot x$

En consecuencia, el caudal del río Chillón es igual a:

$x = 1,649\,\frac{m^{3}}{s}$

El caudal del río Chillón en agosto de 2.020 fue de 1,649 metros cúbicos por segundo.

Invitamos cordialmente a consultar este problema sobre porcentajes: brainly.com/question/18546712

7 0

3 years ago