A rope, attached to a weight, goes up through a pulley at the ceiling and back down to a worker. The worker holds the rope at the same height as the connection point between the rope and weight. The distance from the connection point to the ceiling is 40 ft. Suppose the worker stands directly next to the weight (i.e., a total rope length of 80 ft) and begins to walk away at a constant rate of 2 ft/s. How fast is the weight rising when the worker has walked:
10 feet? Answer=?
30 feet? Answer=?

Answer:

b

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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Answer:

D. \( 5.1\)

Step-by-step explanation:

\( \frac{ - 44.288 - 31.6}{ - 3.1(6 - 1.2)} \)

➡️ \( \frac{ - 75.888}{ - 3.1 \times 4.8} \)

➡️ \( \frac{24.48}{4.8} \)

➡️ \( = 5.1\)

Answer:

3,4,5

Step-by-step explanation:

The vaule of the cube root of 10 is about 2.15 and the value of the cube root of 200 is about 5.84

A whole number by defintion is an integer (positive of negative) that can be defined as a number that can be written without a fractional component.

So we know the range is between 2.15-5.84

Only 3 numbers fit in here

3,4,5

Answer:

3 numbers total

Step-by-step explanation:

The only whole numbers that fit in between those numbers are 3,4,5

If you have any specific questions or need assistance, feel free to ask, and I'll do my best to provide a helpful response within the scope of my training

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.

Answer:

30

40 - 5x

Step-by-step explanation:

Caroline is taking test worth 40 points that has 5 points per question.  If she got 2 questions wrong, she would have a score of `30.

2 × 5 = 10

40 - 10 = 30

If Caroline got x questions wrong, she would have a score of 40 - 5x.

Step-by-step explanation:

The prize is equally likely to have been placed behind doors 1, 2, and 3, so the probabilities of D₁, D₂, and D₃ are equal.

P(D₁) = P(D₂) = P(D₃) = 1/3

The contestant initially chooses door 1, so the host will not open it.

P(H₁|D₁) = P(H₁|D₂) = P(H₁|D₃) = 0

The host will not open the door with the prize.

P(H₂|D₂) = P(H₃|D₃) = 0

The remaining probabilities for each door are equal.

P(H₂|D₁) = P(H₃|D₁) = 1/2

P(H₃|D₂) = 1

P(H₂|D₃) = 1

Answer:

Three plus six: 3 * 6

When we multiply x*y, we are summing x times the same number: y ory times the same number.(x)

In our case, we are summing three times six, so: 6 + 6 + 6 = 18

We could also say we are summing six times three: 3 + 3 + 3 + 3 + 3 + 3 = 18

Nowwe can say that 6 * 3 = 18

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer:

  86.75

Step-by-step explanation:

Given test scores of 63.5, 76, and 87 that each count for 20% of your grade, you want to know the fourth test score needed for an average of 80, if the fourth test is worth 40% of your grade.

The grade for the course, with fourth test score x, will be ...

  0.20(63.5 +76 +87) +0.40x = 80

  0.40x +45.3 = 80

Solving for x, we get ...

  0.40x = 34.7 . . . . subtract 45.3

  x = 86.75 . . . . . . . divide by 0.4

The minimum score you need on the fourth test is 86.75.

<95141404393>

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-11})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-11)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-3)}) \implies y +11 = 4 ( x +3) \\\\\\ y+11=4x+12\implies {\Large \begin{array}{llll} y=4x+1 \end{array}}\)

The equation is:

Work/explanation:

Recall that the point slope formula is \(\rm{y-y_1=m(x-x_1)}\),

where m is the slope and (x₁, y₁) is a point on the line.

Plug in the data:

\(\rm{y-(-11)=4(x-(-3)}\)

Simplify.

\(\rm{y+11=4(x+3)}\)

Simplified to slope intercept:

\(\rm{y+11=4x+12}\)

\(\rm{y=4x+1}\) <- this is the simplified slope intercept equation

Answer:

$14

Step-by-step explanation:

Answer:

Is there options because this question not that in depth  

Step-by-step explanation:

Answer: YES

Step-by-step explanation: both equal 5 when divided.

Captain Smollett expects to happen with:

D. Mr. Trelawney and Dr. Livesey will fix all the issues he mentioned. Captain Smollett will be allowed to find a new crew.

In chapters 7-9 of Treasure Island, Captain Smollett expresses his concerns about the voyage and the crew to Mr. Trelawney and Dr. Livesey. He lists several issues, including the lack of experienced sailors, the behavior of the crew, and the possibility of mutiny.

However, he does not expect to be fired or killed, and he does not want the voyage to be cancelled. Instead, he hopes that Mr. Trelawney and Dr. Livesey will address these issues and allow him to find a new crew, so that the voyage can continue safely and successfully.

In Treasure Island, Captain Smollett expresses his concerns about the voyage and the crew to Mr. Trelawney and Dr. Livesey in chapters 7-9, and he hopes that they will address these issues and allow him to find a new crew, so that the voyage can continue safely and successfully. He does not expect to be fired or killed, and he does not want the voyage to be cancelled.

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Answer:

37 years difference.

Step-by-step explanation:

K = Kissi

k = Age of Kissi

E = Esinam

e = Age of Esinam

L = Lariba

l = Age of Lariba

k + e + l = 147

K : E

3 : 5 → (×3) → 12 : 15

E : L

3 : 5 → (×5) → 15 : 25

K : E : L

12 : 15 : 25

12 + 15 + 25 = 52

147/52 = 2.8269...

K is the young since out of the three part ratio, 12 is the smallest and likewise, L is the oldest.

k = 12 × 2.8269... = 33.923... → 34 y/o

e = 15 × 2.8269... = 42.40... → 42 y/o

l = 25 × 2.8269... = 70.673... → 71 y/o

∴ The difference between the youngest and oldest is:

71 - 34 = 37

The x-intercept of CD is -7, and the point (-7, 0) lies on CD.

How to find the x-intercept of a line that is perpendicular to another line and passes through a given point?

To find the x-intercept of a line that is perpendicular to another line and passes through a given point, we first need to determine the equation of the perpendicular line using the point-slope form of a line. This involves using the given point and the slope of the original line. The slope of the perpendicular line is the negative reciprocal of the slope of the original line. Once we have the equation of the perpendicular line, we can find the x-intercept by setting y = 0 and solving for x.

Calculation of the intercept and the point passing lies on CD -

To find the x-intercept of CD, we need to first determine the equation of CD. Since CD is perpendicular to AB and passes through point C, we can use the point-slope form of the equation of a line:

\(y - y_1 = m(x - x_1)\)

where \((x_1, y_1) = (5, 12)\) is the given point on CD, and m is the slope of AB. To find the slope of AB, we use the slope formula:

\(m = (y_2 - y_1)/(x_2 - x_1)\)

where \((x_1, y_1) = (-10, -3)\) and \((x_2, y_2) = (7, 14)\) are the given points on AB:

\(m = (14 - (-3))/(7 - (-10)) = 17/17 = 1\)

Substituting the values of \((x_1, y_1)\), m, and simplifying the equation, we get:

\(y - 12 = 1(x - 5)\)

\(y = x - 5 + 12\)

\(y = x + 7\)

To find the x-intercept, we set \(y=0\) and solve for x:

\(0 = x + 7\)

\(x = -7\)

Therefore, the x-intercept of CD is -7, and the point (-7, 0) lies on CD.

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Answer:

Thus, the x-intercept of CD is 17 and The point lies on CD is (2, 19).

Step-by-step explanation:

Answer:

140 ft³

Step-by-step explanation:

imagine the prism is standing on one of its triangular sides.

then it becomes a regular object with the volume

base area × height

the base area is the area of the triangle

baseline × inner height / 2

in our case

4 × 7 / 2 = 14 ft²

so for the volume we have

14 × 10 = 140 ft³

Answer:

The maximum profit the florist will earn from selling celebration bouquets is $725.

The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.

Step-by-step explanation:

Answer: 99cm^2

Step-by-step explanation:

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\(area = \frac{1}{2} \times (height) \times (base) \\ \)

\(height = 11 \: \: cm\)

\(base = 18 \: \: cm\)

Thus :

\(area = \frac{1}{2} \times 11 \times 18 \\ \)

\(area = \frac{18}{2} \times 11 \\ \)

\(area = \frac{2 \times 9}{2} \times 11 \\ \)

\(area = 9 \times 11\)

\(area = 99 \: \: {cm}^{2} \)

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The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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Answer:

Range is $105

Step-by-step explanation:

10*35=350

7*25=245

350-245=105

Answer:

Salon des Refusés. Is the correct answer

Edouard Manet's Luncheon on the Grass was shown in the Salon des Refusés after it was rejected for the annual salon.

A store sells 5 oranges and 10 apples.

What is the cost amount?

The cost of an asset to you often serves as its basis. The cost is the sum that you pay for it using money, debt, other goods, or services. Sales tax and other purchase-related costs are included in the price.

Here, we have

Given: A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25.

We have to determine how many of each type of fruit were sold.

We, let the oranges be x.

let the apples be y.

x + y = 15...(1)

1x + 2y = 25...(2)

We subtract equation(2) from equation(1), we get

y = 10

Now we put the value of y in equation (1) and we get

x + 10 = 15

x= 5

Hence, a store sells 5 oranges and 10 apples.

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The ordered pair (1, 3) is on the graph of y = f(x).

What is function ?

Function can be defined in which it relates an input to output.

Since the function f is even, we know that f(-x) = f(x) for all x. This means that if the point (-2, 5) is on the graph of f, then the point (2, 5) must also be on the graph of f. Similarly, if the point (-1, 3) is on the graph of f, then the point (1, 3) must also be on the graph of f. Finally, since the point (0, -2) is on the graph of f, we have f(0) = -2.

Therefore, the graph of f must look something like this:

Since the function is even, the graph must be symmetric about the y-axis.

Since the point (1, y) is also on the graph of f, we know that f(1) = y. Since the function is even, we also know that f(-1) = f(1) = y.

Looking at the graph, we can see that the y-coordinate of the point (-1, 3) is the same as the y-coordinate of the point (1, y). Therefore, we must have y = 3.

Therefore, the ordered pair (1, 3) is on the graph of y = f(x).

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Answer:

Explanation:

Here, we want to get the value of the slope of the line that is perpendicular to the given line

The first condition to understand is that the second line is perpendicular to the first

When two lines are perpendicular, the product of their slopes is equal to -1

Mathematically, let us call the slope of the second line m2

Thus:

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

To determine the range of the number of RVs that need to be sold each month for the company to make a profit, we need to consider the profit function and find the values of x that result in a positive profit.

The profit function is given by P(x) = -50x + 20,000x - 1,500,000.

To make a profit, the value of P(x) must be greater than zero (P(x) > 0). We can set up the inequality:

-50x + 20,000x - 1,500,000 > 0.

Combining like terms, we have:

19,950x - 1,500,000 > 0.

Now, let's solve this inequality for x:

19,950x > 1,500,000.

Dividing both sides by 19,950, we get:

x > 1,500,000 / 19,950.

Simplifying the right side, we have:

x > 75.

The range of the number of RVs that need to be sold each month for the company to make a profit is x > 75.

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

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Answer:

59

Step-by-step explanation:

2b^3+5 when b=3

Plug in the value of b

2*3^3+5 = 2*27+5 = 54+5 = 59

To find the polynomial equation of the graph.

Now, identify the x-intercept of the graph,

x=-3 , x=-1 , x=3, x=4.

these are the factors of the polynomial,

The polynomial is,

to determine the sketch factor use the y-intercept point.

(0,1).