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

Answer:

the equation is:

f(x) = 180x²

the maximum working load for a 10 inch rope = 180 · 10² = 18,000 pounds

Step-by-step explanation:

the table is missing, so I looked it up:

inches             safe working load

0                             0              

1                            180          

2                           720          

3                          1620        

180 is their common denominator:

0                      0                        0

1                      180                      1

2                     180                      4

3                     180                      9

1, 4, and 9 follow a pattern x²:

0                   0

1                    1

2                   4

3                   9

4                  16

5                  25

6                  36

7                  49

8                  64

9                  81

10                100


Related Questions

if a sample of 25 students is taken from a population of 179 students the population variance o^2, is the variance of how many students' heights

Answers

Answer: 179

Step-by-step explanation:

The population variance cannot be determined solely from a sample, but the sample variance can provide an estimate of it based on the data collected from the sample.

The population variance ) represents the variance of the entire population. In this case, the population consists of 179 students. However, if we take a sample of 25 students from this population, the variance of this sample is called the sample variance

The sample variance ) is used to estimate the population variance ). It is calculated using the following formula:

The population variance  cannot be determined solely from a sample, but the sample variance () can provide an estimate of it based on the data collected from the sample.

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Whats the slope on this graph?

Answers

Answer:

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

Step-by-step explanation:

if a football player gains 40 yards on a play, but the next play he loses 10 yards. how many total yards does he have?

Answers

Answer:

30 yards

Step-by-step explanation:

40 - 10 =30

The correct answer is 30 yards

2 1/2 X 3 1/3
Help!!!!

Answers

[tex]2\frac{1}{2}*3\frac{1}{3}\\\\\frac{2*2+1}{2}*3\frac{1}{3}\\\\\frac{4+1}{2}* 3\frac{1}{3}\\\\\frac{5}{2} *3\frac{1}{3}\\\\\frac{5}{2} *\frac{3*3+1}{3}\\\\\frac{5}{2}* \frac{10}{3} \\\\\frac{5*10}{2*3} =\frac{50}{6} \\\\\frac{25}{3} \\\\8\frac{1}{3}[/tex]

Hope this helps, have a blessed and wonderful day!   ✝

- Cutiepatutie

Please help
Write the equation of the line on the graph

Answers

Answer:

y = 3x

Step-by-step explanation:

There is a dot at (1,3)

The line also goes through (0,0)

The equation is of the form y = mx

b the y intercept is 0.

All we need to do is solve for m

when x = 1, y = 3

3 = m * 1

m = 3

Answer: y = 3x

the set below only contains which types of numbers {-1,5,1/2,15,3.75,36,square root 81,100 are they irrational numbers rational integers or natural numbers

Answers

The set can be classified as both rational integers and irrational numbers,

Meaning of rational and irrational numbers

Rational numbers are numbers that can be expressed as a division of two integers. They are definite, they include all integers.

Irrational numbers are numbers that are no definite, they have no end.

In the question every other number is a rational number except for square root 81,100  which is an irrational number.

In conclusion, The set can be classified as both rational integers and irrational numbers.

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Which one would the equation be?

Answers

Answer:

a. [tex] y = \frac{2}{5}x - 6 [/tex]

Step-by-step explanation:

The slope-intercept form of equation of a line is given as [tex] y = mx + b [/tex]. Where,

m = slope

b = y-intercept.

Rewrite the equations, [tex] 2x - 5y = 12 [/tex] and [tex] 4y + 24 = 5x [/tex], in the slope-intercept form by making y the subject of the formula. Then, derive our new equation that has the same slope as the first equation, and the same y-intercept as the second equation.

[tex] 2x - 5y = 12 [/tex]

[tex] 2x - 12 = 5y [/tex]

Divide both sides by 5

[tex] \frac{2x - 12}{5} = \frac{5y}{5} [/tex]

[tex] \frac{2x}{5} - \frac{12}{5} = y [/tex]

Rewrite

[tex] y = \frac{2x}{5} - \frac{12}{5} [/tex]

The slope of [tex] 2x - 5y = 12 [/tex] is ⅖.

[tex] 4y + 24 = 5x [/tex]

[tex] 4y = 5x - 24 [/tex] (subtraction property of equality)

Divide both sides by 4

[tex] \frac{4y}{4} = \frac{5x - 24}{4} [/tex]

[tex] y = \frac{5x}{4} - \frac{24}{4} [/tex]

[tex] y = \frac{5x}{4} - 6 [/tex]

The y-intercet of [tex] 4y + 24 = 5x [/tex] is -6

Therefore, the equation that has the same slope as the first equation and the same y-intercept as the second equation would be:

[tex] y = mx + b [/tex]

Plug in the values of m and b

[tex] y = \frac{2}{5}x + (-6) [/tex]

[tex] y = \frac{2}{5}x - 6 [/tex]

in a triangle abc the lengths look the three sides are 7 cm 12 cs and 13 cs

Answers

Answer:

So what's the question ur trying to ask?

0.00000001073 as a scientific notation

Answers

Answer:

3.456 × 1011

please choose me brainliest

The answer would be 1.073 × 10-8

What is 1 7/8 of 4 9/13?

Answers

Answer:

8 83/104.

Step-by-step explanation:

4 9/13 * 1 7/8

= 61/13 * 15/8

= 915/104

= 8 83/104.

You take a package to the local shipping company. They charge $0.72 per pound, and also has a fixed cost of $5
per package. If P represents the number of pounds of your package, and C is the total cost of shipping your
package, which of these is the correct relationship between P and C?

Answers

Answer:

yoy didnt put a picture of the answer choices, so I'm not sure which one this would be, but the answer would be C=5 + .72P

Step-by-step explanation:

C is the total cost, so that would be on the opposite side of the equal sign from P. the 5 would be the constant, since that is the starting price for all packages, and the .72 is the price per pound, so you would have to multiply .72 by P pounds in order to complete the equation.

Hope this helps!

choose the ratio that is equivalent to this one 1/6 A. 3/8 B. 4/24 C. 2/6 D. 12/2​

Answers

B
Should be correct after
simplification.

The owner of a bicycle shop models the shop’s profit in thousands of dollars each year by using the formula p = 0.015x3 – 0.2x2 + 0.95x + 39, where x is the number, in hundreds, of bicycles sold. Graph the function and describe its key features over the relevant domain.

Answers

Answer:

k k k k k k k

Step-by-step explanation:

k k okkkk k k high x crcyycs dgdvcsdvk kkhgj hfyjjdf c triol

the function is y=.95x+38.645

I need help PLEASE i will mark brainliest

Answers

The answer is C. Reflection. Figure Q was flipped over the y-axis, the line of reflection

Answer:

its b

Step-by-step explanation:

A weight of meteorite A is 7 times the weight of meteorite B. If the sum of their weights is 152 tons find the weight of each

Answers

Answer:

no lo se perdon

Step-by-step explanation:


Plant A is 4 inches tall and growing at a rate of 4 centimeters per
week. Plant B is 10 inches tall and growing at a rate of 1 centimeter per
week. After how many weeks will both plants have the same height?
Choose the equation that best represents this situation.
A.) 4 - 4y = 10 - Y
B.) 4 + 4y = 10 + y
C.)4 + y + 4y = 10
D.)4(y + 4y) = 10

Answers

Answer:1/2t + 4 = 1/4t + 5.5

1/2t - 1/4t = 5.5 - 4

2/4t - 1/4t = 1.5

1/4t = 1.5

t = 1.5 x 4

t = 6

h = 1/2t + 4

h = 1/2(6) + 4

h = 3 + 4

h = 7

solution is (7,6)

means that the plants will both be 7 cm tall after 6 weeks

How many degrees is the measurement of the missing angle? (Only numeric answer, no words or symbols at all)

Answers

Answer:

65°

Step-by-step explanation:

35° + 80° + x° = 180°

115° + x = 180°

x = 180° - 115°

x = 65°

What expression is 8/12 eual to?

Answers

Answer:

8/12 = 2/3

Step-by-step explanation:

PLZZZ HELP THATS THE QUESTION I DONT GET IT

Answers

Answer:

C

Step-by-step explanation:

|15-26| = 11  

|-8+19| = 11

11/3 + 11/2 = 22/6 + 33/6

22/6 + 33/6 = 55/6

A young adult burns 11 calories per minute while jogging. Which function shows how many calories that person will burn in x minutes

Answers

Y (Total Calories burnt) = 11 X

Solve the following system of equations using the elimination method.
7x + 20y = 14
2x – 10y = 4
Question 18 options:

A)

(3,1)

B)

(2,0)

C)

(4,–5)

D)

(–3,4)

Answers

Answer:

opt B (2,0)

Step-by-step explanation:

.

.

.

pls rate

Answer:

B

Step-by-step explanation:

Find the volume of a right circular cone that has a height of 13 in and a base with a
circumference of 5.1 in. Round your answer to the nearest tenth of a cubic inch.

Answers

Answer:

Step-by-step explanation:

the formula for finding  the volume of a cone would be V= 3.14 r sqaured * h/3

so plug that in and it would be   3.14(5.1) sqaured * 13/3

3.14 is the formula of pie which is in the formula for finding the volume of

5.1*5.1=  26.01

3.14* 26.01= 81.67    

13/3= 4.34

81.67* 4.34= 354.45

The volume of a right circular cone that has a height of 13 in and a base with a circumference of 5.1 inches is 8.97824.

Calculation of the volume of right circular cone:

Since

We know that

Volume = [tex]\pi r^2 \frac{h}{3}[/tex]

Since the circumference is 5.1 inches

So here the radius be like

Circumference = [tex]2\pi r[/tex]

5.1 = 2(3.14) r

r = 0.8121

Now the volume should be

[tex]= 3.14 \times (0.8121)^2 \frac{13}{3}[/tex]

= 8.97824

Hence, The volume of a right circular cone that has a height of 13 in and a base with a circumference of 5.1 inches is 8.97824.

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Ingrid and Harish were trying to solve the equation:
22 - 3x = x + 1
Ingrid said, "First, I'll subtract x from both sides so I have a? - 4x = 1. Then I can solve by completing the
square. If I add 4 to each side, I can rewrite the equation as (x - 2)² = 5."
Harish said, “I'll isolate the xạ term by adding 3x to both sides of the equation. Then I'll solve by taking the
square root."
Whose solution strategy would work?

Answers

Answer:

Only Ingrid's equation is correct

Answer:

Only Ingrid’s solution works

Jane is asked to buy some chickens, dogs and ducks for her farm. The total number of animals she needs to buy is 50. She has a budget of $1500 to spend on $20/chicken, $50/dog, and $30/duck. Additionally, the number of chickens should be equal to that of ducks. Create a system of 3 equations to model the situation. Assume the number of chickens is x, dogs is y and ducks is z.

Answers

Answer:

x = 20, the number of chickens as well as the number of ducks.

........

20 chickens, 20 ducks and 10 Dogs 50-20-20

And...checking

$400 + $600 + $500 = 1500

x the number of chickens as well as the number of ducks

20x + 30x + 50(50-2x) = $1500

-50x = -1000

Step-by-step explanation:

Hope this helps

The system of 3 equations to model the situation are;

x + y + z = 50

20x + 50y + 30z = 1500

x = z

How to write equation?

number of chickens = xnumber of dogs = ynumber of ducks = zcost of each chicken = 20cost of each dog = 50cost of each duck = 30Total cost = 1500Total number of animals = 50

The equation:

x + y + z = 50

20x + 50y + 30z = 1500

number of chicken = number of ducks

x = z

Therefore, the equations are;

x + y + z = 50

20x + 50y + 30z = 1500

x = z

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A store charges 6% GCT on all sales. What is the total cost of a shirt marked at $30? *
2 points
Your answer

Answers

Answer:

$12

Step-by-step explanation:

I hope this helps. Have a great day!

Answer:

$31.80

Step-by-step explanation:

first convert 6% into a decimal which is 0.06. then multiply 30 by 0.06 to get 6% of 30 which is 1.80. then add 1.80 to 30 to get your final cost of 31.80

[tex]30*0.06=1.80[/tex]

[tex]30+1.80=31.80[/tex]

final cost: $31.80

Hope this helps!

help me please
and don't spam​

Answers

[tex] \sqrt{ ({ - 1 - 7})^{2} + ({2 - a})^{2} } = \sqrt{ ({ - 1 - a})^{2} + ({2 - ( - 3)})^{2} } \\ [/tex]

Bring both sides of the equation to the power of 2

[tex]( { - 8})^{2} + ({2 - a})^{2} = ({ - 1 - a})^{2} + ({2 + 3})^{2} \\ [/tex]

[tex]64 + 4 - 4a + {a}^{2} = 1 + 2a + {a}^{2} + 25 \\ [/tex]

[tex] {a}^{2} - 4a + 68 = {a}^{2} + 2a + 26 [/tex]

Subtract sides -26

[tex] {a}^{2} - 4a + 68 - 26 = {a}^{2} + 2a + 26 - 26 \\ [/tex]

[tex] {a}^{2} - 4a + 42 = {a}^{2} + 2a [/tex]

Subtract sides -a²

[tex] {a }^{2} - {a}^{2} - 4a + 42 = {a}^{2} - {a}^{2} + 2a \\ [/tex]

[tex] - 4a + 42 = 2a[/tex]

Plus sides 4a

[tex]4a - 4a + 42 = 2a + 4a[/tex]

[tex]42 = 6a[/tex]

Divided sides by 6

[tex] \frac{42}{6} = \frac{6}{6}a \\ [/tex]

[tex]a = 7[/tex]

_________________________________

And we're done.....♥️♥️♥️♥️♥️

A florist sells a dozen roses for $35.40. She sells individual roses for the same unit cost. Write an equation to represent the relationship between the number of roses, x, and the total cost of the roses, y. How much would 18 roses cost?

Answers

Answer: The equation is

The cost of 18 roses is 53.10.

Step-by-step explanation:

Given:

A florist sells a dozen roses for 35.40. She sells individual roses for the same unit price.

Now, to find the cost of 18 roses and write an equation to represent the relationship between the number of roses, x, and the total cost of the roses, y.

1 dozen = 12.

Now, to get the cost of 18 roses we use unitary method:

If 12 roses cost = 35.40.

So, 1 roses cost = 2.95.

Thus, 18 roses cost = 53.10.

Therefore, the cost of 18 roses = 53.10.

Now, to write an equation the relationship between the number of roses and the total cost of the roses:

Cost of per rose = 2.95.

As, given in question:

Number of roses =

Total cost of the roses =

Total cost of the roses = Cost of per rose × Number of roses.

So, the equation is:

Therefore, the equation is And the cost of 18 roses is 53.10.

Cassie has a small cube shaped box. Its volume is 64 cubic cm. What is the area of one face of tje box.

Answers

Answer:  One face is 16 square centimeters.

Step-by-step explanation: To find the area of a face, you need to know the length of the side. All the sides of the cube are the same, so take the cube root of 64.

[tex]\sqrt[3]{64}=4[/tex] cm is the length of the side

The area of one face is the side length squared 4² = 16

4cm × 4cm = 16 square centimeters.

Answer:

surface area of one face of the cube will be 16 cm².

Step-by-step explanation:

Cassie has a small cube shaped box.

Volume of the box is 64 cm³

We have to find the area of one face of the box.

Let one side of the box is x

Then volume = x³ = 64

                       x³ = 4³

                       x = 4

Now area of one face of the cube = x²

     then area = 4² = 16 cm²

Therefore, surface area of one face of the cube will be 16 cm².

What is the slope of a line perpendicular to the line y=12/5x+4

Answers

Answer:

x = -5/3

Step-by-step explanation:

Round 2,345,4285 to the nearest tenth

Answers

The answer: 23454285.0
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