A chain 22 feet long whose weight is 86 pounds is hanging over the edge of a tall building and does not touch the ground. How much work is required to lift the entire chain to the top of the building

Answer: 360

Step-by-step explanation:

done

Answer:

.

Step-by-step explanation:

Step-by-step explanation:

They can be found by considering where the second derivative changes signs. In similar to critical points in the first derivative, inflection points will occur when the second derivative is either zero or undefined.

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500 shirts / 3 hours = 166 2/3 shirts per hour.

Divide total shirts by shirts per hour:

1800 / 166 2/3 = 10.8 hours.

Question 695271

{{{500/3=1800/x}}}

Cross multiply:

{{{(3*1800)/500}}}

=10.8 hours

Answer:

5d+4

Step-by-step explanation:

Number of ticket sold by Daniel = d .... 1

If Sara sold 4 more tickets to the school play than the number Danielle sold, the total number sold by Sarah is expressed as d+4 .... 2

If Brett sold 3 times as many as Danielle sold, the amount sold by Brett is 3×d = 3d ..... 3

The number of tickets that the 3 students sold altogether can be gotten by adding equation 1, 2 and 3 together as shown;

d+(d+4)+3d

Collect like terms

= d+d+3d+4

= 2d+3d+4

= 5d+4

Hence the number of tickets that the 3 students sold altogether is represented as 5d+4

Answer:

5d+4

Step-by-step explanation:

Have a good day

The forecasted demand for the week of October 12, based on the 3-week moving average, is 16 pints. This estimate provides an approximation of the expected demand for type A blood at Damascus Hospital during that week, considering recent trends in usage.

To calculate the forecasted demand for the week of October 12, we employ a 3-week moving average. This approach involves taking the average of the number of pints used over the previous three weeks.

Let's refer to the table provided to determine the moving average:

Week Number of Pints

Sept 1 15

Sept 8 18

Sept 15 12

Sept 22 20

Sept 29 16

Oct 6 14

To calculate the moving average, we sum the number of pints used over the three most recent weeks and divide it by 3:

Moving Average = (12 + 20 + 16) / 3 = 16

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The length of x is 4.1.

Given:

Base = 9 + 4.5 = 13.5

From figure:

= \(\sqrt{9^{2}+5^{2} }\)

= \(\sqrt{81+25}\)

= \(\sqrt{96}\)

= 9.797

4.5 opposite is equal to 4.5.

5 opposite equal to 5 and remaining to x - 5.

According to pythagorean theorem:

= \(\sqrt{4.5^{2}+(x-5)^{2} }\)

\(13.5^{2} +x^{2} =(\sqrt{96}+\sqrt{4.5^{2} +(x-5)^{2} })^{2}\)

\(\sqrt{13.5^{2} +x^{2} }\) - \(\sqrt{96} = \sqrt{20.25+x^{2} +25 -10x}\)

squaring on both sides

182.25 + \(x^{2}\) - 96 = \(x^{2}\) - 10x + 45.25

10x = 45.25 + 96 - 182.25

10x = 41

x = 4.1.

Therefore the value of x is 4.1.

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Answer:

$2499/20 or $124.95

Step-by-step explanation:

Here the cloth of cost per meter is $147/4

and the cost of 17/5 meters of cloth is (147/4)×(17/5) (147*17)/(4*5)

2499/20 or 124.95

hence the cost of 17/5 meters is $2499/20 or $124.95

The completely factored form of the expression 10x² - 90 is:

10(x + 3)(x - 3)

To find the greatest common factor (GCF) of the expression 10x² - 90, we first need to factor out any common factors.

1: Identify the common factors of the coefficients.

In this case, the coefficient of both terms is 10, so the common factor is 10.

2: Identify the common factors of the variables.

The variable in both terms is x², which means x is a common factor.

3: Determine the highest power of the common variable. In this case, the highest power of x is x².

Now, we can factor out the GCF from the expression:

10x² - 90 = 10(x² - 9)

Next, we can factor the expression inside the parentheses.

It is a difference of squares, so we can apply the formula:

a² - b² = (a + b)(a - b)

In our case, a = x and b = 3:

x² - 9 = (x + 3)(x - 3)

Therefore, the completely factored form of the expression 10x² - 90 is:

10(x + 3)(x - 3)

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Answer:

10.8 inches

Step-by-step explanation:

72/20=3.6

3.6*3=10.8

Answer:

vertex is (6, -11)

Step-by-step explanation:

Given equation
f(x) = x² - 12x + 25

is that of an upward-facing parabola(since the coefficient of x² is positive).

The vertex will be at a minimum and its x-coordinate can be found by finding the first derivative of f(x), setting it equal to zero and solving for x

f'(x) = d/dx(x² - 12x + 25)

= 2x - 12

f'(x) = 0 ==> 2x - 12 = 0

2x = 12

x = 6

Substitute x = 6 in f(x) to get

f(6) = 6² - 12(6) + 25

= 36 - 72 + 25

= -11

So the vertex is at (6, -11)

Answer: The greatest common factor is 6.

Step-by-step explanation:

18 goes into 6, 3 times

30 goes into 6, 5 times and q2 goes into 6, 2 times

Divide all three numbers by 6.

The new equation will look like: 3x-5+2y

Answer:

D. The money that Kai started with before he mowed any lawns.

Step-by-step explanation:

We Know

The equation is y = mx + b

The x represents the number of lawns that Kai mows.

What does the y-intercept represent in this equation?

The y-intercept is when the x = 0, meaning the y-intercept is the amount of money he has when mowing 0 lawn. So, the answer is D.

Answer:

The Answer is D

Step-by-step explanation:

Thus, the value displayed by Point K is roughly 373.

A number line in mathematics is a continuous straight line with numerals spaced equally apart along that line. Some stories will have a defined beginning and conclusion. We refer to these as closed number lines.

The distance between 367 and 377 can be split into five equal portions because the number line has 5 increments. Two components make up each section.

So, starting at 367, we must move 2 units to the right for each component until we reach Point K in order to determine the number represented by Point K.

We arrive at 369 by adding 2 units to the right of 367. From 369, we deduct another 2 units to arrive at 371. Following the same pattern, we arrive at 373, 375, and ultimately 377.

Point K is closest to 373 because it lies between 373 and 375. Thus, the value displayed by Point K is roughly 373.

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Answer: 4 inches

Step-by-step explanation:

Caterpillars are small, so it wouldnt be 4feet

Brainliest plz ◉‿◉

Step-by-step explanation:

1.A

2.A

3.A

4.C

5.A

6.A

7.C

8.D

9.A

10.C

11.C

12.C

13.D

14.B

15.B

16.A

17.C

18.A

19.B

20.C

21.B

22.D

23-27 Write in

Answer:

R = 42

Step-by-step explanation:

given R is directly proportional to T , then the equation relating them is

R = kT ← k is the constant of proportion

to find k use the condition R = 60 when T = 10

60 = 10k ( divide both sides by 10 )

6 = k

R = 6T ← equation of proportion

when T = 7 , then

R = 6 × 7 = 42

Answer:

The answer is given below

Step-by-step explanation:

Given that the location of the points are W = (3, 1) , X = (7, -1), Y = (7, -3) and Z = (3,-3)

The distance between two points A(x1, y1) and B(x2, y2) is given by the formula:

\(|AB|=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\)

Therefore, the side length of the quadrilaterals are:

\(|WX|=\sqrt{(-1-1)^2+(7-3)^2}=\sqrt{20} =4.47\)

\(|XY|=\sqrt{(-3-(-1))^2+(7-7)^2}=\sqrt{20} =2\\\\|YZ|=\sqrt{(-3-(-3))^2+(3-7)^2}=\sqrt{20} =4\\\\|ZW|=\sqrt{(-3-1)^2+(3-3)^2}=\sqrt{20} =4\)

The Perimeter of the quadrilateral = |WX| + |XY| + |YZ| + |ZX| = 4.47 + 2 + 4 + 4 = 14.47 units

Answer:

4.47,

2

4

14.47

Step-by-step explanation:

The answer is that it would take 8 hours for the temperature to drop down to 36 degrees.

1.5x8=12

1x8=8 and 0.5x8=4

In 8 hours the temperature will be 36°F from 48°F.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, The current temperature is 48 degrees Fahrenheit it is expected to drop 1.5 degrees each hour.

Assuming the no. of hours to be x.

∴ 36 = 48 - 1.5x.

- 1.5x = - 12.

x = 8.

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Answer:

at least 87

\( \geqslant 87\)

Step-by-step explanation:

danny has at least $15 more than his brother and his brother has $72 that means Danny has at least 15 + 72(his brothers money) it can be 87 or more than 87

Danny's money is

\( \geqslant 87\)

Answer:

your answer is 0101

Step-by-step explanation:

Answer:

the answer is 0101 (B)

Answer:

351.86

Step-by-step explanation:

V = π r² h

V = (3.14) (4)² (7)

V = (3.14) (16) (7)

V = 351.86

Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

The correct representation for the requirement is option c. X1 + X2 <= 60.

In this representation, X1 represents the quantity of product X1 produced, and X2 represents the quantity of product X2 produced. The equation of linear inequality X1 + X2 <= 60 indicates that the total quantity of both products produced should be less than or equal to 60 units.

The requirement states that at most 30 units of each product can be produced. This means that the combined quantity of X1 and X2 should not exceed 60 units. The inequality X1 + X2 <= 60 ensures that the total production does not exceed this limit.

Option a (X1 <= 30, X2 < -30) is incorrect because it allows for negative values of X2, which is not meaningful in this context. Option b (X1 > 30, X2 > 30, X1 + X2 < 60, X2 < 30) is also incorrect because it allows for individual product quantities to exceed 30 units, which contradicts the requirement. Option d (X1X2 <= 60) is incorrect because it implies a restriction on the product of X1 and X2, rather than their sum.

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The angle of elevation of the ladder is 55.5 degrees.

To find what is the angle of elevation of the ladder:

Therefore, the angle of elevation of the ladder is 55.5 degrees.

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The correct question is given below:

A 30-foot ladder is leaning against a building. If the base of the ladder is 17 feet from the base of the building, find the angle of elevation. Round your answer to the nearest tenth.

Answer:

the area of the isosceles triangle is approximately 104.49 cm^2.

Step-by-step explanation:

The perimeter of the triangle is 100 cm, so we can write an equation using the lengths of the sides:

x + x + (x + 10) = 100

3x + 10 = 100

3x = 90

x = 30

So the equal sides of the triangle have length 30 cm and the side that is 10 cm greater has length 40 cm.

To find the area of the triangle, we can use the formula for the area of an equilateral triangle:

Area = (sqrt(3) / 4) * (side length)^2

Area = (sqrt(3) / 4) * 30^2

Area = (sqrt(3) / 4) * 900

Area = (sqrt(3) / 4) * 30 * 30

Area = (sqrt(3) / 4) * 900

Area = (30 * sqrt(3)) / 2

Area = 45 sqrt(3)

Answer:

15

Step-by-step explanation:

the range is the largest number take away the smallest number

56-41=15

Answer:

180° - (90° + 30°) = 180° - 120° = 60°

Step-by-step explanation:

there are 180° inside of a triangle

the square means that the angle is 90°