2 inches 3 inches Pivot. If 60 lbs. of force must be applied to the valve for it to open, how much upward force must push rod X apply for the valve to open?

A 60 lbs
B.40 lbs
C 30 lbs
D.20 lbs
E 15 lbs

Answers

Answer 1

We can solve this problem by stating that the summation of momentums must be zero. That is, the momentum at one end of the pivot must be equal to the momentum at the other end.

Momentum 1 = Momentum 2

Since Momentum is the product of Force and Distance, and with this rule created, we can say that:

F1 * d1 = F2 * d2

Where,

F1 = 60 lbs

d1 = 2 inches from the pivot

F2 = unknown X

d2 = 3 inches from the pivot

Substituting to the equation to find for F2:

60 lbs * 2 inches = F2 * 3 inches

F2 = 40 lbs

Therefore 40 lbs of upward force must be pushed to open the valve.

Answer: B

Answer 2

Final Answer:

40 lbs of upward force must be pushed to open the valve that is option B is correct.

Explanation:

We can solve this problem by stating that the summation of momentums must be zero. That is, the momentum at one end of the pivot must be equal to the momentum at the other end.

Momentum 1 = Momentum 2

Since Momentum is the product of Force and Distance, and with this rule created, we can say that:

F1 * d1 = F2 * d2

Where,

F1 = 60 lbs

d1 = 2 inches from the pivot

F2 = unknown X

d2 = 3 inches from the pivot

Substituting to the equation to find for F2:

60 lbs * 2 inches = F2 * 3 inches

F2 = 40 lbs

Therefore 40 lbs of upward force must be pushed to open the valve.

Related Questions

during a baseball game, a player's ball hit into the outfield is modeled by the equation h=-16t^2 + 65t. A bird flying across the field follows the path modeled by the equation h=8t+20. let t be the time since the ball is hit and h be the height. what do the intersection points of the equations represent?

Answers

The intersections of the equations represent the times when the bird and the ball are at the same height.

8t+20=-16t^2+65t

16t^2-57t+20=0, using the quadratic equation for expediency:

t=(57±√4529)/32 and since we know t>0

t≈3.88 seconds (at a approximate height of 51 feet)

Answer:

Intersection points are

(0.39,0) and (3.16,0)

Step-by-step explanation:

The equation of the outfield is [tex]h=-16t^2 + 65t[/tex]

The path equation is [tex]h=8t+20[/tex]

To find intersection of two equations , we make them equal and solve for t

[tex]-16t^2+65t= 8t+20[/tex]

Subtract 8t from both sides

[tex]-16t^2+57t=20[/tex]

Subtract 20 on both sides

[tex]-16t^2+57t-20=0[/tex]

Divide whole equation by -1

[tex]16t^2-57t+20=0[/tex]

Apply quadratic formula to solve for t

[tex]t=\frac{-b+-\sqrt{b^2-4ac}}{2a}[/tex]

a= 16, b=-57 and c=20

[tex]t=\frac{57+-\sqrt{(-57)^2-4(16)(20)}}{2(16)}[/tex]

[tex]t=\frac{57+-\sqrt{1969}}{32}[/tex]

[tex]t=\frac{57+\sqrt{1969}}{32}=3.16[/tex]

[tex]t=\frac{57-\sqrt{1969}}{32}=0.39[/tex]

A square patio has an area of 200 square feet how long is each side of the patio to the nearest 10th

Answers

The area of a square is equal to length times width, which are the same.

200= x^2

Root both sides

x= root 200
x= approx. 14.1

Final answer: 14.1 ft

For normally distributed data, what proportion of observations have z-scores satisfying the following conditions:
0.62 < z < 2.92

Answers

From standard tables for normal distribution,
P(z<=0.62) = 0.7324
P(z<=2.92) = 0.9983

Therefore
P(0.62 < z <2.92) = 0.9983 - 0.7324 = 0.2659

The required proportion is 0.2659 or 26.6%

Answer: 0.266 or 26.6%

Lucy has to run two errands. She starts from home and travels 3 miles south to the post office. From the post office, she travels 4 miles east to the gas station. Then, from the gas station, she travels 5 miles to return home. The entire trip forms a triangle.

What was the smallest angle made in her trip?

It is at the gas station.
It is at Lucy’s home.
It is at the post office.
It depends on the direction Lucy is traveling.

Answers

Lucy starts from home and travels 3 miles south to the post office. From the post office, she travels 4 miles east to the gas station. As it is known south and east directions form right angle. Since the entire trip forms a triangle, this triangle is right with right angle at post office.

Call the vertices of this triangle P - post office, G - gas station, H - home. Then HP and PG are legs of this triangle and GH is hypotenuse.

From the given data:

HP=3;PG=4;GH=5;∠P=90°.

The smallest angle is opposite to the smallest side. The smallest side is leg HP, so the smallest angle is G that is the angle at gas station.

Answer: correct choice is A.

In this exercise we have to mark the correct alternative corresponding to the location, so we have:

Letter A

The following information was then given by the statement:

Lucy starts from home and travels 3 miles south to the post officeFrom the post office, she travels 4 miles east to the gas station.

Imagining the paths made by lucy as a triangle, we know that the longest path that corresponds to the hypotenuse will be from the gas station to her house, so:

HP=3;PG=4;GH=5;P=90°.

We have:

[tex]180-90=90\\90/2=45\\45-15=30[/tex]

The smallest angle is at the gas station.

See more about triangles at brainly.com/question/25813512

what is the product of any integer and -1

Answers

the product of any integer and -1 is equals opposite of that integer.

Whenever I have to multiply integers, I think of this little math song to the tune of "Row Row Row Your Boat" that my teacher taught me in 7th grade.

Remember:
Multiply and divide
Then look at the signs
Different signs are negative
Same signs are just fine (positive)

For example: -5 x 5 = -25 -5 x -5 = 25
Different signs Same signs (positive & positive)

So in your specific case, the product of any integer and -1 depends. If the integer is positive, than the final product would be the integer in it's negative form. If the integer is negative, than the final product would be the integer in it's positive form.

I hope this makes sense to you!

How do variables help you model real-world situations? Give an example of a model that uses variables and explain how it helps people make predictions.

Answers

How I use Variables is when i get my pay i get paid 7.50 a hour and work 40 hours a week x=40 Hope this helps =^)

An example would be the order of the ladder.

You are given 4x-2y=12 and -4x-9=54. You are asked to find the order of the ladder. However, you did not specify which variable represents the ladder. I will just solve for both of the variables. I will be applying the substitution method.

Let 4x-2y=12 equals equation one and equation 2 for -4x-9=54.

4x-2y=12

4x=12+2y

x=3+1/2y

substitute this x to the equation 2

-4x-9y=54

-4(3+1/2y )-9y=54

Y=-6

X=3+1/2y = 3+1/2(-6) = 3+(-3) = 0

A gardener uses a tray of 6 conical pots to plant seeds. Each conical pot has a radius of 3 centimeters and a depth of 8 centimeters. About how many cubic centimeters of soil are needed to plant the full tray? Round to the nearest cubic centimeter.

Answers

By definition, the volume of a cone is given by:

[tex] V = (\frac{1}{3}) * (\pi) * (r ^ 2) * (h)
[/tex]

Where,

r: radius of the circular base

h: height of the cone

Since we have 6 conical pots, then the total volume is:

[tex]Vt=6V[/tex]

[tex] Vt = 6 * (\frac{1}{3}) * (\pi) * (r ^ 2) * (h)
[/tex]

Substituting values we have:

[tex] Vt = 6 * (\frac{1}{3}) * (3.14) * (3 ^ 2) * (8)

Vt = 452.16 cm ^ 3
[/tex]

Rounding to the nearest cubic centimeter:

[tex] Vt = 452 cm ^ 3
[/tex]

Answer:

are needed 452 cm^3 of soil to plant the full tray

The cubic centimeters of soil are needed to plant the full tray is approximately 452cubic in

Volume of a cone

The formula for calculating the volume of a cone is expressed as:

V = 1/3πr²h

r is the radius = 3cm

h is the height = 8cm

Substitute

V = 1/3 * 3.14 * 3^2 * 8
V = 75.36 cubic cm

Since the gardener uses a tray of 6 conical pots to plant seeds, the total volume will be expressed as:

T = 6(75.36)
T = 452cubic in

Hence the cubic centimeters of soil are needed to plant the full tray is approximately 452cubic in

Learn more on volume of cone here: https://brainly.com/question/1082469

What two-dimensional cross-sections could we create by slicing a sphere?

Answers

Circles if sections are slices parallel to a diameter. Ellipses if sections are slices taken at an angle to a diameter.

what number is 26.8% of 67.5?
and
325% of what is 78.65?

Answers

Well this is easy, just take the percentage as an actual number and just multiply
26.8% as a number is 0.268 (if you don't know how I got this, just divide that percentage by 100, and a 1.00 is equal to a 100%) and 0.268 * 67.5 is 18.09.
(You can round that)
Now 325% as a number is 3.25 (it's bigger than 100% so its increasing)
3.25 * 78.65 is 255.6125.

1. We assume, that the number 78.65 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 78.65 is 100%, so we can write it down as 78.65=100%.
4. We know, that x is 325% of the output value, so we can write it down as x=325%.
5. Now we have two simple equations:
1) 78.65=100%
2) x=325%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
78.65/x=100%/325%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 325% of 78.65

78.65/x=100/325
(78.65/x)*x=(100/325)*x - we multiply both sides of the equation by x
78.65=0.307692307692*x - we divide both sides of the equation by (0.307692307692) to get x
78.65/0.307692307692=x
255.6125=x
x=255.6125

now we have:
325% of 78.65=255.6125
1. We assume, that the number 67.5 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 67.5 is 100%, so we can write it down as 67.5=100%.
4. We know, that x is 26.8% of the output value, so we can write it down as x=26.8%.
5. Now we have two simple equations:
1) 67.5=100%
2) x=26.8%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
67.5/x=100%/26.8%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 26.8% of 67.5

67.5/x=100/26.8
(67.5/x)*x=(100/26.8)*x - we multiply both sides of the equation by x
67.5=3.73134328358*x - we divide both sides of the equation by (3.73134328358) to get x
67.5/3.73134328358=x
18.09=x
x=18.09

now we have:
26.8% of 67.5=18.09.
Hope this helped

which whole number is closest to √149

Answers

If you're asking for the closest whole number to the square root of 149 - tis 12.

The actual square root would be 12.20655561573.... Round it to 12.2

part 2
Fred bakes 10 dozen cookies for the bake sale. He makes the following types of cookies:
. 1/2 chocolate chip
. 1/4 peanut butter
. 1/8 sugar cookies
. 1/8 oatmeal raisin cookies

4. How many of each type of cookie did Fred make? Show your work.

Chocolate chip_________
Peanut Butter _______
Sugar cookies ________
Oatmeal raisin_______
5. Unfortunately, Fred had some trouble in the kitchen and 3/5 of the peanut butter cookies were burned.
a. How many peanut butter cookies does Fred have left to sell? _____

b. Explain how you know this is correct.

Answers

1 dozen= 12

12*10= 120 cookies

chocolate chip is 1/2
1/2 of 120 is 60
60 chocolate chip cookies

Peanut Butter is 1/4 (or half of 1/2)
1/2=60 so that means 1/4=30
30 PB cookies

Sugar and oatmeal raisin are both 1/8 (half of 1/4)
1/4= 30 so that means 1/8=15
15 Sugar Cookies
15 Oatmeal Raisin

3/5 of PB were burned
Original PB was 30
3/5 of 30 is 18
18 cookies were burnt
30-18=12 (which were salvaged)
12 PB cookies remain

Hope this helps

Avery owns stocks in Ever Rise Corporation. The stock price increased by 120% over the past week. If the stock price was p last week, write two equivalent expressions that represent the current stock price and explain what their equivalence means. Substitute one or more variables into the expressions to prove them equivalent.

Answers

Answer:

Expression 1. P+1.2p

Expression 2. 2.2p

Step-by-step explanation:

These 2 equivalent expressions state that increasing a value by 120% is the same as multiplying the original value by 2.2.

Example: assume that p=50. The first expression gives p+1.2p=50+1.2(50) =110. The second expression gives 2.2p=2.2(50)=110

The two expressions 1.2p and p + 0.2p are equivalent, as they both represent the same relationship between the current stock price and the stock price last week.

What is the expression?

Expressions are defined as mathematical statements that have a minimum of two terms containing that variables or numbers.

If the stock price increased by 120% over the past week, then the current stock price is 120% of the stock price last week. This can be represented by the equation:

current price = 1.2p

Another way to represent the same relationship is to say that the current price is the stock price last week plus 120% of the stock price last week. This can be represented by the equation:

current price = p + 0.2p

To prove that these two expressions are equivalent, we can substitute a value for p into both equations and show that they give the same result. For example, if the stock price last week was $100, then:

current price = 1.2100 = $120

current price = 100 + 0.2100 = $120

Therefore, the two expressions are equivalent, as they both represent the same relationship between the current stock price and the stock price last week.

Learn more about Expressions here :

brainly.com/question/21751419

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seven subtracted from 4 times a number (x) is more than 13

Answers

4n-7>13 add 7 to both sides

4n>20 divide both sides by 4

n>5

7-(4x+13)
In this equation, you will use subtraction, multiplication, and addition.

Barrie had stamps he gave 1/8 of them to tom if he gave 15 stamps to tom how many stamps did Barrie have at first

Answers

That would be 120 stamps.

Barrie has 120 stamps.
120X(1/8)=15

Which of the following is equivalent to the complex number
[tex]i ^{34}[/tex]
:

Answers

[tex]i^{34}=(i^2)^{17}=(-1)^{17}=-1[/tex]

The ratio of trumpet players to tuba players at a high school is 5:2 Which statement is true?

A.2/5 of the total tuba and trumpet players are tuba players.

B.The number of trumpet players is 2.5 times the number of tuba players.

C.There are 2 trumpet players for every 5 tuba players.

D.If there are a total of 100 trumpet and tuba players, 52 of them are tuba players.

Answers

B. The number of trumpet players is 2.5 times the number of tuba players

Final answer:

The ratio of trumpet players to tuba players at the high school is 5:2. There are 2 trumpet players for every 5 tuba players.

Explanation:

The ratio of trumpet players to tuba players at a high school is 5:2. This means that for every 5 trumpet players, there are 2 tuba players. Therefore, option C is correct, which states that there are 2 trumpet players for every 5 tuba players.

Learn more about ratios here:

https://brainly.com/question/32531170

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The diameter of a beach ball is 10 inches. How many cubic inches of air can the beach ball hold? Use 3.14. Round to the nearest tenth of a cubic inch.

Answers

Hey!

So, it looks like we got the volume of a sphere. We know that the formula for it when we got the diameter is, [tex]V=\frac{\pi d^3}{6}[/tex]
We are going to use 3.14 for [tex] \pi [/tex]
[tex]V=\frac{3.14* d^3}{6}[/tex]
Let's plug in the values,
[tex]V=\frac{3.14*10^3}{6}[/tex]
Simplify,
[tex]V=\frac{500*3.14 }{3}[/tex]
Our volume of the beach ball is,
V ≈ 523.333333333
Round to the nearest tenth.
V ≈ 523.3 in³

Thanks!
-TetraFish

PLEASE HELP {It costs 5,700 every one sixth of an hour to build a hotel how many cents does building a hotel cost per second?}

Answers

One sixth of an hour is 10 minutes.
That means it costs 5,700 every 10 minutes.

Costs 5,700 = 10 minutes

Dive 10 on both sides.

Costs 570 = 1 minute

Lets convert the minute into seconds.

Costs 570 = 60 seconds

Divide both sides by 60.

Costs 9.5 cents = 1 second

Round it off since you can't pay 9.5 cents.

Costs 10 cents = 1 second

This means that every second they pay 10 cents for the hotel. :D

convert 2.998m/s to km/h and to miles per hour

Answers

1 meter per second = 3.6 km per hour

2.998 x 3.6 = 10.7928 km per hour

1 KM per hour = 0.621371 mph

10.7928 x 0.621371 = 6.706

6.706 miles per hour

round answer as needed

The hypotenuse of a right triangle is 37 mm. One leg of the right triangle is 12 mm. What is the length of the other leg?

Answers

Use the pythagorean theorem:
[tex]a^2+b^2=c^2[/tex]
[tex]12^2+b^2=37^2[/tex]
[tex]144+b^2=1369[/tex]
[tex]b^2=1225[/tex]
[tex] \sqrt{b^2} = \sqrt{1225} [/tex]
[tex]b=35[/tex]
Your answer is 35mm.

Answer:

35 they are right

Step-by-step explanation:

because the angles in a rectangle are 90 degrees it is not a parallelogram true or false? please explain why

Answers

A parallelogram is a 4-sided shape where opposites sides are parallel. A rectangle is a special case of a parallelogram. All rectangles are parallelograms.

But a rectangle is a shape where opposites sides are parallel *and* all the corners are 90 degree angles. So you can't say that all parallelograms would be rectangles. Some parallelograms would be rectangles, but not all.

Rectangles are a subset of the shapes called parallelograms. But parallelograms are *not* a subset of the shapes called rectangles.

It's similar to saying all cars are vehicles. But you can't say that all vehicles are cars.

8;7 ratio is boys out of 195 campers

Answers

195 by 15 because (7+8) and then add up accordingly.

what is the slope of (4,3.5),(-4,3.5)

Answers

little tip : notice how ur y values are both the same. if this occurs, this means u have a horizontal line which has a slope of 0.

** if ur x values would have been the same, instead of ur y values, then u would have had a vertical line with an undefined slope.

Please I need help with number 9 !!!! For brainlest answer and thanks !!!!!

Answers

s+2.8= 6.59

Isolate s by subtracting 2.8 from both sides. What you do to one side, you must do to another in an equation.
s+2.8-2.8= 6.59-2.8
s= 3.79

Final answer: B

the final answer is b

How do variables help you model real-world situations? Give an example

Answers

Variables help you model real-world situations by allowing you to assign certain symbols to a variable or factor. You can easily identify what are the dependent variables and independent variables. Also, you can easily know what to vary to know how much will change to an independent variable. You can predict what most likely happen in the real world.

write an equation to represent the relation. Then solve the equation. A number decreased by 30 is the same as 14 minus 3 times the number

Answers

x-30 =14-3x

subtract 1 x from each side

-30 =14-2x

subtract 14 from each side

-44 = 2x

x=-44/2 = -22

x=-22

check:-22-30 = -52

14-3(-22) = 14-66 =-52

both equations equal

X = -22

Both equations would equal -22

A survey showed that 30% of students bring their lunch to school. The survey polled 300 students. How many of the 300 students do Not bring their lunch to school?

Answers

30% of 300 is 90. how many kids didn't bring their lunch to school? 210 (if you want a explanation just ask)

Which number sentences show how to solve the problem?

A pair of socks costs $5.00. A package of 3 pairs costs $12.00. How much would you save if you buy 2 packages instead of 6 individual pairs?

Choose all answers that are correct.

A.

6 × 5 = 30, 2 ×12 = 24, and 30 – 24 = 6

B.

12 – 5 = 7, 7 x 2 = 14, and 14 – 6 = 8

C.

12 ÷ 3 = 4, 5 – 4 = 1, and 1 × 6 = 6

D.

12 ÷ 3 = 4, 4 × 5 = 20, and 20 – 12 = 8

Answers

Answer:

a is the answer

Step-by-step explanation:

first you divded 12.00

Identify all sets to which the number 3.1214122144 . . . belongs. Choose from irrational,rational,whole,and integer

Answers

It is an irrational number. That is because rational numbers can be put into fractions. But because this decimal goes on forever, you can't put it into a fraction. This is also not a whole number or an integer. Whole numbers and integers do not have any decimals or fractions in them, but this number is a decimal. Therefore, this number is irrational.
hope this helps:)
please mark thanks and brainleist:)

a string was 4m long. she gave 1/4m of it to her sister and 3/4m to her friends. how much string had she given away?

Answers

The correct answer is: " 1 m " .
____________________________
Explanation:
____________________________
Add up the amounts she had given away:

3/4 m + 1/4 m = 4/4 m = 1 m.
____________________________
The answer is: " 1 m " .
____________________________

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2 inches 3 inches Pivot. If 60 lbs. of force must be applied to the valve for it to open, how much upward force must push rod X apply for the valve to open? A 60 lbs B.40 lbs C 30 lbs D.20 lbs E 15 lbs

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2 inches 3 inches Pivot. If 60 lbs. of force must be applied to the valve for it to open, how much upward force must push rod X apply for the valve to open?

A 60 lbs
B.40 lbs
C 30 lbs
D.20 lbs
E 15 lbs