Every rope has a safe working load. A rope should not be used to lift a weight greater than its safe working load. The table shows the safe working loads S (in pounds) for ropes with circumference C (in inches). Write an equation for the safe working load for a rope. Find the safe working load for a rope that has a circumference of 10 inches.

Answers

Answer 1

9514 1404 393

Answer:

S = 180C²18,000 lbs

Step-by-step explanation:

Assuming the table attached with C in inches and S in pounds, we see that the first differences in S are ...

  180, 540, 900

These are not constant, so the relation is not linear.

Second differences are ...

  360, 360

These are constant, so the relation is quadratic. With a short trial, we find that a suitable equation is ...

  S = 180·C²

__

The safe load for C=10 is then ...

  S = 180·10² = 18,000 . . . pounds

Every Rope Has A Safe Working Load. A Rope Should Not Be Used To Lift A Weight Greater Than Its Safe

Related Questions

A chicken farm produces ideally 400,000 eggs per day but this total came very buy as many as 30,000 eggs what is the maximum and minimum expected production at the farm?

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Answer:

400,000+30,000

430,000

400,000-30,000

370,000

Step-by-step explanation:

A conjecture and the paragraph proof used to prove the conjecture are shown. 100 points please help

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Answer:we USED

Step-by-step explanation:

please make me brainliest

Answer:

1- angle congruence postulate

2- definition of complementary

3- m<3

4- <3

Help I need answers don’t know the answer

Answers

The answer for question 1 is -1/2

Which equation is true when the value of x is -6

Answers

Answer:

x(4 + 4) + 16 = -32

Step-by-step explanation:

-6 times 4 is -24 so then you add -24 + -24 and get -48. Then if you add a positive 16 to the -48 you get -32.

Can anybody tell the answer of -12xy+4xy
Step By Step because I am really confused.

Answers

-12xy+4xy
Collect the like terms which means add negative 12 + positive 4 , then you get -8 and just add xy to the end because the like terms were collected. Your best bet is to try to create a number line and go off of that if you are still confused.

Find the circumference of a circle with a diameter of 6 yd. leave your answer in terms of pi.

Answers

Answer:

18.85yd I think am not sure

For every line there can exist a coplanar parallel line. true or false?

Answers

Answer:

T

Step-by-step explanation:

Sophie went to the lake with her family. First, they spent 1 1/4
hours fishing. Then, they spent twice as much time swimming. How much time did they spend fishing and swimming in all?
Write your answer as a whole number, fraction, or mixed number.

Answers

3 and 3/4 hours

(1 and 1/4 • 2) + 1 and 1/4

Answer:

2

Step-by-step explanation:

Which is the smallest number 0.9, 0.899 , 0.0999, 0.909, 0.09 , 0.9009

Answers

Answer:

0.0999 hope it will help you

The ratio between the ages of Amar and Kabir is 3:4 at present.after 4 years ago their ages would be 7:9.ratio of ages of Kabir and amar after 20 years from now?​

Answers

Answer:

[tex]Ratio = 11:13[/tex]

Step-by-step explanation:

Represent Amar age with x

Represent Kabir age with y

So, we have:

Presently

[tex]x : y = 3 : 4[/tex]

After 4 years

[tex]x + 4 : y + 4 = 7 : 9[/tex]

Simplify both ratios:

[tex]x : y = 3 : 4[/tex]

[tex]\frac{x}{y} = \frac{3}{4}[/tex]

Cross Multiply

[tex]4x = 3y[/tex]

Make x the subject

[tex]x = \frac{3}{4}y[/tex]

[tex]x + 4 : y + 4 = 7 : 9[/tex]

[tex]\frac{x + 4}{y + 4} = \frac{7}{9}[/tex]

Cross Multiply

[tex]7(y+4) = 9(x+4)[/tex]

Open Brackets

[tex]7y + 28 = 9x + 36[/tex]

Collect Like Terms

[tex]9x = 7y + 28 - 36[/tex]

[tex]9x = 7y -8[/tex]

Substitute [tex]\frac{3}{4}y[/tex] for x in [tex]9x = 7y -8[/tex]

[tex]9(\frac{3}{4}y) = 7y - 8[/tex]

[tex]\frac{27}{4}y = 7y - 8[/tex]

[tex]6.75y = 7y - 8[/tex]

[tex]6.75y - 7y = - 8[/tex]

[tex]-0.25y = - 8[/tex]

[tex]y = -8/-0.25[/tex]

[tex]y = 32[/tex]

Substitute 32 for y in [tex]x = \frac{3}{4}y[/tex]

[tex]x = \frac{3}{4} * 32[/tex]

[tex]x = \frac{3* 32}{4}[/tex]

[tex]x = \frac{96}{4}[/tex]

[tex]x = 24[/tex]

So, in 20 years time, the ratio of the ages would be:

[tex]x + 20 : y + 20[/tex]

This gives

[tex]24 + 20 : 32 + 20[/tex]

[tex]44 : 52[/tex]

Divide by 4

[tex]44/4:52/4[/tex]

[tex]11:13[/tex]

Hence, the Ratio is

[tex]Ratio = 11:13[/tex]

2/3÷2 1/3= dividing fractions

Answers

Answer:

3/3

Step-by-step explanation:

3/3

3.5 or 3 1/2 just comment if you need to show work :)

If m 24 = 35º, find m_2 and m23.
А
00
2
4
.
m22 =
m23 =

Answers

Answer:

m22 answer will be in your book only

What is the value of n?

Answers

Answer:

A.  95°

Step-by-step explanation:

see attached

For each equation below, determine if the given value is a solution or not. 12- x= x, x = 3

Answers

Answer:

no that is not a solution

Step-by-step explanation:

12-x=x or 12-3=3 is not a solution because the answer doesnt make the equation

A study revealed a strong, linear, positive association between the amount of shampoo used and the length of hair. Another study revealed a strong, linear, positive association between amount of conditioner used and the length of hair. When the data were combined, the association became negative. What is this an example of?

Answers

Answer:

Step-by-step explanation:

B

Answer:

Simpson's Paradox

Step-by-step explanation:

Manatees are an endangered species of herbivorous, aquatic mammals found primarily in the rivers and estuaries of Florida. As part of its conservation efforts, the Florida Fish and Wildlife Commission records the cause of death for every recovered manatee carcass in its waters. Of the 392392 recorded manatee deaths in 2012, 6868 were perinatal and 8181 were caused by collision with a watercraft. (a) What is the probability that the death of a randomly selected manatee was due to collision with a watercraft? (Enter your answer rounded to four decimal places.)

Answers

Answer:

Other question are " (b) What is the probability that the death was not due to collision with a watercraft? (Enter your answer rounded to four decimal places.) P(not collision) - (c) What is the probability that the cause of death was due to perinatal problems or collision with a watercraft? What is the

(c) What is the probability that the cause of death was due to perinatal problems or collision with a watercraft? What is the probability that it was due to some other cause? (Enter your answers rounded to four decimal places.) P(perinatal or collision) P(other cause) -"

a) P(collision) = Number of deaths caused by collision / Total number of deaths

P(collision) = 81/392

P(collision) = 0.2066

b) P(not collision) = 1 - P(collision)

P(not collision) = 1 - 0.2066

P(not collision) = 0.7934

c) P(perinatal or collision) = (68+81)/392

P(perinatal or collision) = 0.3801

P(other cause) = 1 - 0.3801

P(other cause) = 0.6199.

HELP PLZZZZ
THANK YOU SO MUCH FOR HELPING ME!!!!

Answers

f(1/2 pi) = 2
I don't entirely remember how to do the second one so hang on
f(x) = 0 when x = k (pi) ?
Range: [-2,2]
f(pi/2)=2
X=-2pi,-pi,0,pi,2pi
Range=-2,0,2

Plot the number 2.78 on a numberline between 2.7 and 2.8

Answers

Answer:

On the screenshot below, each little line represents 0.1. It's not labeled 2.7 and 2.8, but if you count the tick marks by 0.1, it shows that exact approximation.

I hope this helps!

Answer:

<│--------│----------│-----------│----------│----------│-----------│-----------│------------│------│>

2.7    2.71       2.72        2.73       2.74       2.75        2.76        2.77         2.78   2.8

Convert to standard form:
-8x + 7y = 6 - 12x

Answers

Answer:

4x+7y = 6

Step-by-step explanation:

-8x + 7y = 6 - 12x

add 12x in both sides

4x+7y = 6

Find the axis of symmetry for the function below.
2x^2 – 8x + 5 = 0

Answers

Your answer is (0,-3). The axis of symmetry is basically the y part in a vertex. I just found the vertex of the equation (showed you the steps how to do so if you don’t know) and then took the y value of the vertex-which is the axis of symmetry. Hopes this helps!

10 less than a number x

Answers

Answer:

x-10

Step-by-step explanation:

The correct answer is-10

Victor has a goal of making $75 per week at his after-school job. Last month he was within $6.50 of his goal. What are the maximum and minimum amounts that Victor might have made last month?​

Answers

Answer:

maximum is 81.50

minimum is 68.50

Step-by-step explanation:

1m-751=6.50

m-75=6.50

m=81.50

/m-75=-6.5

m=68.50

The maximum and minimum amounts that Victor might have made last month are $81.5 and $68.5, respectively.

What is Addition?

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

Given that Victor has a goal of making $75 per week at his after-school job. and Last month he was within $6.50 of his goal. Therefore, the maximum and minimum amounts that Victor might have made last month are,

Maximum and minimum amount = $75 ± $6.50

                                                      = $75+$6.50 , $75-$6.50

                                                      = $81.5 , $68.5

Hence, the maximum and minimum amounts that Victor might have made last month are $81.5 and $68.5, respectively.

Learn more about Addition here:

https://brainly.com/question/14092461

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Jessica is on a the swim team. Each day she swims 8000m. Use the the fact to find how much this is in kilometers

Answers

Answer:

8 Kilometers

Step-by-step explanation:

1m=0.001km

   So...

8000m=8km

Answer:

0.8

Step-by-step explanation:

Jessica can swim a lap in  seconds

Converting it into decimals,

Means  seconds

Means Jessica can swim a lap in 29.4 seconds

Marta can swim a lap in 28.7 seconds.

So, Martha is faster than Jessica by  seconds

Dilations always increase the length of line segments

True

False

Dilations increase the measure of angles.
Group of answer choices

True

False


Dilations of a triangle are similar to the original triangle.
Group of answer choices

True

False

Answers

1. False. Dilations can increase and decrease.
2. True
3 if you change the size of a triangle will the triangle be the same? So true. Because you are only changing the size of triangle.

I hope those helps

What is the answer for number 4

Answers

Answer:

x=-13

Step-by-step explanation:

All you have to do is divide 8 by both sides because you want to get x by itself.

s congruent to . If angle S is (5x-11) degrees and angle U is (4x+9) degrees, find the value of x.

Answers

Given:

Consider angle S is congruent to angle U.

The angle S is (5x-11) degrees and angle U is (4x+9) degrees,

To find:

The value of x.

Solution:

Since it is given that angle S is congruent to angle U, therefore the measure of theses two angles are equal because measure of congruent angles are equal.

[tex]m\angle S=m\angle U[/tex]

Put the given values.

[tex]5x-11=4x+9[/tex]

Subtract 4x from both sides.

[tex]5x-4x-11=9[/tex]

Add 11 on both sides.

[tex]x=9+11[/tex]

[tex]x=20[/tex]

Therefore, the value of x is 20.

Please answer this for me!!:)))) it’s due rn!!!! least to greatest question 7th grade

Answers

Answer:

1st 2nd 3rd

Step-by-step explanation:

Answer:

C, B, A

Step-by-step explanation:

Cs answer will be negative making it automatically the least

B when multiplied will equal 6/25. when you divide that you get 0.24

A you just multiply the 2 together to get 7.68

A pair of shoes regularly costs $65.00. I paid $58.50 for the shoes. What was the percent discount that I
received

Answers

Answer:

i think you received 7 percent discount

Answer:

Hi there

Your answer is

10% discount

Step-by-step explanation:

$65=100%

/65 to determine percent per 1$

1$= 1 & 7/13ths or 20/13ths

*58.5

58.5$ = 90%

Your received a 10% discount because 100-90=10

CHECK YOUR WORK

.1 * 65 = 6.5

65-6.5=58.5

What % of 73 is eleven point one?

Answers

Answer:

15%

Step-by-step explanation:

11.1 / 73 = 0.152054~

That answer rounded to the nearest hundreth is 0.15 so it'd be 15%

Solve the equation for x.
3x + 11 – X + 23 = 4

Answers

Answer:

x = -15

Step-by-step explanation:

3×+34-×=4

2×+34=4

2×+34-34=4-34

2×=4-34

2×= -30

2×/2=-30/2

×= -15

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