can someone solve this? I appreciate it a lot​

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:

Terrence spend more time walking his dog .

Step-by-step explanation:

3/5 = 0.6

1/3 = 0.333

0.6>0.333

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 c

Step-by-step explanation:

Answer:

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

Answer:

26

Step-by-step explanation :

73 - 47 = 26  brainliest?

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

Step-by-step explanation:

Answer:

No mode ???? I'm not sure

Answer:

3 with the exponent on 4 and 9 with the exponent of 2 have the same value

Answer:

[tex]Probability = \frac{243}{1024}[/tex]

Step-by-step explanation:

Given

[tex]Sum = \{7, 11, 12\}[/tex]

[tex]Rolls = 5[/tex]

Required

Probability of not getting audited

If a pair of dice is rolled, the following are the observations of the sum

[tex]Outcomes = 36[/tex]

[tex]Sum\ of\ 7 = 6[/tex]

[tex]Sum\ of\ 11 = 2[/tex]

[tex]Sum\ of\ 12 = 1[/tex]

So, in a single roll; The probability of getting audited is:

[tex]p= \frac{1 + 2 + 6}{36}[/tex]

[tex]p= \frac{9}{36}[/tex]

[tex]p= \frac{1}{4}[/tex]

The probability of not getting audited in a single roll is:

[tex]q = 1 - p[/tex] --- Complement rule

[tex]q = 1 - \frac{1}{4}[/tex]

Take LCM

[tex]q = \frac{4 - 1}{4}[/tex]

[tex]q = \frac{3}{4}[/tex]

The probability of not getting audited in 5 rolls is:

[tex]Probability = q^5[/tex]

[tex]Probability = (\frac{3}{4})^5[/tex]

[tex]Probability = \frac{3^5}{4^5}[/tex]

[tex]Probability = \frac{243}{1024}[/tex]

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:

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:

[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:

I think it's decameter^^

Answer:

0.0108 = 1.08% probability that a sophomore non-Chemistry major and then a junior non-Chemistry major are chosen at random.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability that a sophomore non-Chemistry major

Out of 92 students, 9 are non-chemistry major sophomores. So

[tex]P(A) = \frac{9}{92}[/tex]

Then a junior non-Chemistry major are chosen at random.

Now, there are 91 students(1 has been chosen), of which 10 are non-chemistry major juniors. So

[tex]P(B) = \frac{10}{91}[/tex]

What is the probability that a sophomore non-Chemistry major and then a junior non-Chemistry major are chosen at random

[tex]P = P(A)*P(B) = \frac{9}{92}*\frac{10}{91} = \frac{9*10}{92*91} = 0.0108[/tex]

0.0108 = 1.08% probability that a sophomore non-Chemistry major and then a junior non-Chemistry major are chosen at random.

Answer:

82.5 is the right answer

Answer:

4x3x2x1=24

Step-by-step explanation:

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:

3,825 y³

Step-by-step explanation:

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:

z > 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

15.6 < 2.7(z - 1) - 0.6

Step 2: Solve for z

Here we see that any value z greater than 7 would work as a solution to the inequality.

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:

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:

42.48

Step-by-step explanation:

I don't know how to explain

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:

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:

A = 76

Step-by-step explanation:

Formula of the area of a triangle: [tex]A=\frac{h*b}{2}[/tex]

Formula of a rectangle: [tex]A=l*w[/tex]

So starting with the triangle...You know that the height of the triangle is 7, and the base of the triangle is 8 because the base of the rectangle is the same as the triangle's base...

Now using the formula of the triangle...

A = [tex]\frac{7*8}{2}[/tex]

= 28

Now find the area of the whole retangle...The length of the rectangle is 13 because 7+6=13; the width is 8

Now using the formula of the rectangle...

A = [tex]13*8[/tex]

= 108

Now that you have the areas of both the triangle and the retangle...Do subtraction to find the shaded area...

[tex]108 - 28 = 76[/tex]