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Answer:

3200 ft-lb

Step-by-step explanation:

To answer this question, we need to find the force applied by the rope on the bucket at time [tex]t[/tex]

At [tex]t=0, the weight of the bucket is 6+36=42 \mathrm{lb}[/tex]

After [tex]t[/tex] seconds, the weight of the bucket is [tex]42-0.15 t \mathrm{lb}[/tex]

Since the acceleration of the bucket is the force on the bucket by the rope is equal to the weight of the bucket.

If the upward direction is positive, the displacement after [tex]t[/tex] seconds is [tex]x=1.5 t[/tex]

Since the well is 80 ft deep, the time to pull out the bucket is [tex]\frac{80}{2}=40 \mathrm{~s}[/tex]

We are now ready to calculate the work done by the rope on the bucket.

Since the displacement and the force are in the same direction, we can write

[tex]W=\int_{t=0}^{t=36} F d x[/tex]

Use [tex]x=1.5 t[/tex] and [tex]F=42-0.15 t[/tex]

[tex]W=\int_{0}^{36}(42-0.15 t)(1.5 d t)[/tex]

[tex]=\int_{0}^{36} 63-0.225 t d t[/tex]

[tex]=63 \cdot 36-0.2 \cdot 36^{2}-0=3200 \mathrm{ft} \cdot \mathrm{lb}[/tex]

[tex]=\left[63 t-0.2 t^{2}\right]_{0}^{36}[/tex]

[tex]W=3200 \mathrm{ft} \cdot \mathrm{lb}[/tex]

Answer:

prism, 6 vertices, 9 edges

Step-by-step explanation:

prism, 6 vertices, 9 edges

prism, 6 vertices, 9 edges

prism, 6 vertices, 9 edges

Answer:

I think it's decameter^^

Answer:

No mode ???? I'm not sure

Answer:

1

Step-by-step explanation:

Anything to the 0 power is 1.

Hope this helps!

:)

Answer:

the answer is one.

Step-by-step explanation:

anything to the power of zero is one

Answer:

[tex]f^{-1}[/tex](x)=2x+10

Step-by-step explanation:

f(x)=[tex]\frac{x}{2}[/tex]-5

Let y= [tex]\frac{x}{2}[/tex]-5

y= [tex]\frac{y}{2}[/tex]-5

x+5= [tex]\frac{y}{2}[/tex]

Both side multiple 2,

2x+10=y

[tex]f^{-1}[/tex](x)=2x+10

Answer:

26

Step-by-step explanation :

73 - 47 = 26  brainliest?

Answer:

Number (n)

Cubes (n3)

1-1

2-8

3-27

4-64

5-125

6-216

7-343

8-512

9-729

10-1000

Step-by-step explanation:

Answer:

4x3x2x1=24

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The circle could be circumscribed about the quadrilateral is false because the sum of the opposite angles is not 180 degrees.

It is defined as the four-sided polygon in geometry having four edges and four corners. Two pairs of congruent sides, and it has one pair of opposite congruent angles.

As we know, the circle can be circumscribed around a quadrilateral if and only if the quadrilateral's opposite angles add up to 180 degrees.

But,

80 + 85 < 180

100 + 95 > 180

Thus, the circle could be circumscribed about the quadrilateral is false because the sum of the opposite angles is not 180 degrees.

Learn more about the quadrilateral here:

brainly.com/question/6321910

#SPJ2

Answer:

9,2 and 2,9

Step-by-step explanation:

x+y=11

xy=18

Since they are asking for integers you can simply look through and see what integers multiply out to 18 and then check if they add up to 11. The answers for x and y are 9 and 2. but 9 can be for y as well and 2 can be for x.

How to solve it algebraically

18/y=x

x+y=11(insert 18/y for x)

18/y+y=11(factor it)

(y^2+18)/y=11(multiply both sides by y)

y^2+18=11y (subtract both sides by 11y)

y^2-11y+18=0

complete the square

y^2-11y    = -18

(-11/2)^2=121/4 (add in on both sides)

y^2-11y+121/4=49/4

(y-11/2)^2=49/4 (square root both sides)

y-11/2=±7/2

y=11/2±7/2

y=9 or y=2

so

x=9 or x=2

Hope this helps :)

Please give brainliest

Answer:

B. Yes! Jason has printed 73/100 of the posters needed.

Step-by-step explanation:

7/10(1500) = 1050 minimum to print

1500-400 = 1100 printed

1100/1500 = 73/100

Answer:

[tex]\displaystyle V = 972 \pi \ ft^3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Sphere Formula: [tex]\displaystyle V = \frac{4}{3} \pi r^3[/tex]

Step-by-step explanation:

Step 1: Define

Radius r = 9 ft

Step 2: Solve for V

Answer:

p/6 division

Step-by-step explanation:

Answer:

46.091 m

Step-by-step explanation:

Given that

Height of the range finder, = 496 feet

Angle of elevation, θ = 0.875 Rad = 50°

Velocity of increment, = 0.225 rad/min

For starters, we try and assume that it all takes place in a triangular shape. Using Pythagoras theorem, we then know that

Tanθ = y / 496

y = 496 tanθ

On differentiating, we have

dy/dt = 496 sec²θ

dy/dt = 496 * 0.413 * de/df

dy/dt = 204.848 * de/df

dy/dt = 204.848 * 0.225

dy/dt = 46.091 m

Answer:

here's your solution

=> percent means divided by 100

=> to find 40% of a number ,

=> we have to think for a number here it

is not given

=> so, we have to assume it , then let the

number be X

=> now ,. equation= 40/100*x

=> 40/100*X

hope it helps

Answer:

82.5 is the right answer

Answer:

B

Step-by-step explanation:

[tex]90 = 60 + 3x \\ 30 = 3x \\ x = 10[/tex]

Answer:

10

Step-by-step explanation:

Answer:

Terrence spend more time walking his dog .

Step-by-step explanation:

3/5 = 0.6

1/3 = 0.333

0.6>0.333

Answer: A

Step-by-step explanation

bc it seemed legit-

Answer:

A.

Step-by-step explanation:

wish u would have got better grade

Answer:2nd i think i hope this helps ! :)

Step-by-step explanation:

Answer:

h(-3) = -27

Step-by-step explanation:

Given that,

[tex]h(x)=-2x^{(2)}+3x[/tex]

We need to find the value of h(-3).

Put x = -3 in the given expression.

[tex]h(-3)=-2(-3)^{(2)}+3(-3)\\\\=-2\times 9-9\\\\=-27[/tex]

So, the value of h(-3) is equal to -27.

Answer:Measures of Exterior Angles

They are formed on the outer part, that is, the exterior of the angle.

The corresponding sum of the exterior and interior angles formed on the same side = 180°.

Step-by-step explanation: is that what u mean?

Answer:

I think it's 2000

Step-by-step explanation:

Answer:

either 7 and 21 or 1 and 3 I believe I'm terribly sorry if I'm wrong friend