How would the variation that exists between the distance that a man walks in one hour and the rate at which the man is walking be described? f inversely g directly h both inversely and directly j irregular​

H.H. Munro, a British novelist who wrote under the pen name Saki, examines topics of pride, moral instruction, and inappropriate conduct for kids during the Edwardian era in his book "The Storyteller."

The moral of the tale "The Storyteller" is that "not all stories end happily." Within The Storyteller, There would be a lesson that "not all stories end happily." This is relevant to a tale a bachelor shares with a group of individuals. He begins the narrative with Beth, who was the most well-behaved girl in the neighborhood.

The Storyteller centers on Sage, a troubled young baker, who meets Josef Weber, an elderly man, at her bereavement support group. After they become friends, he confesses to being an SS trooper and begs her to murder him in addition to forgiving him for his misdeeds so that he won't have to continue living a lie.

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The equation in option e) is not correct because it would not give correct height of the trees in this problem

Since the Magnolia trees are 3 feet tall and grow at an average of 3/4 foot per year.

If x is the number of years and y is the height. we can write:

y = 3/4(x) + 3

The slope-point equation of a line is given as:

y-y1 = m(x−x1)

y = 3/4(x) + 3 in slope-point  form is:

y = 3/4(x) + 3

y-3 =  3/4(x-0)

This means option a) is correct

Yes, this equation is okay to use for the height of the trees in this problem

b) y - 6 = 3/4(x-4)

y - 6 = 3/4(x-4)

y - 6 = 3/4(x)- 3

y - 6 + 3 = 3/4(x)

y - 3 = 3/4(x)

This is correct

c) y - 4.5 = 3/4(x-2)

y - 4.5 = 3/4(x-2)

y - 4.5 = 3/4(x)- 1.5

y - 4.5 + 1.5 = 3/4(x)

y - 3 = 3/4(x)

This is correct

d) y - 12 = 3/4(x-12)

y - 12 = 3/4(x-12)

y - 12 = 3/4(x) - 9

y - 12 + 9 = 3/4(x)

y - 3 = 3/4(x)

This is correct

(e) y - 15= 3/4(x-15)

y - 15= 3/4(x-15)

y - 15= 3/4(x)-11.25

y - 15 + 11.25= 3/4(x)

y - 3.75 = 3/4(x)

This is not correct because it does not reflect the given information

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Answer:

7.85

Step-by-step explanation:

W - 2.3 = 5.55

5.55 + 2.3 = 7.85

W = 7.85

Just do the inverse to subtraction.

Answer:

y=1

Step-by-step explanation:

As per the triangles ABC and SDC are similar triangles then Gilligan can conclude that triangles ABC and SDC are similar and Gilligan can conclude that the distance of the ship from the shore is 509 feet.

The term called triangle in math is defined as a three-sided polygon, which has three vertices

Here from the question we understand points S, C and A are collinear, here we have know that line AB and SD are vertical and parallel lines at the either sides of point C.

So we can conclude that triangles ABC and SDC are similar.

The distance from the ship is calculated as,

=> SD: 130 = AB: 23

Here we have to substitute 90 for AB, then we get,

=> SD: 130 = 90: 23

When write it as,

=>SD/130 = 90/23

When we simplify this then we get  Gilligan can conclude that the distance of the ship from the shore is 509 ft

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Answer:

-3 and -4

Hope this is correct:)

Answer:

11

Step-by-step explanation:

The median is the middle number when they're in ascending or descending order.

In ascending order the numbers are;

5,7,8,9,13,13,15,20

There are two middle numbers, 9 and 13. The median is half-way between the two, which is 11

Answer:

$94.325

Step-by-step explanation:

Given interest (I) varies directly as rate of interest (R) then the equation relating them is

I = kR ← k is the constant of variation

To find k use the condition I = 49 when R = 4 , then

49 = 4k ( divide both sides by 4 )

12.25 = k

I = 12.25R ← equation of variation

When R = 7.7 , then

I = 12.25 × 7.7 = $94.325

Answer:

7

Step-by-step explanation:

6m = 3m + 21

6m - 3m = 21

3m = 21

m = 21 / 3

m = 7

The value of 2 1/2 kilograms to mass in grams is 2500 grams

To determine the value of the mass in grams, we need to know the conversion factor is;

1 gram = 1000 kilograms

1 ounce=  28.3495 grams.

1 ounce =  0.028 kilogram

From the information given, we have that;

2 1/2 kilogram kilogram is;

2. 5 kg

If 1000grams = 1 kilogram

Then x grams = 2.5 kilograms

Cross multiply the values, we have;

x = 2.5(1000)

Multiply the values, we have;

x = 25000 grams

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Complete question:

Convert 2 ½ kilograms to mass in grams

the equations for the osculating, normal, and rectifying planes at t = pi/2 are:

Osculating plane: z = -j * (t - pi/2) - 5

Normal plane: y = -i * (t - pi/2) + 1

Rectifying plane: x = 1.

To find the values of r, T, N, and B at t = pi/2, we first need to calculate r(pi/2) and its derivatives.

r(t) = (cos t)i + (sin t)j - 5k

r(pi/2) = (cos(pi/2))i + (sin(pi/2))j - 5k
        = 0i + 1j - 5k
        = <0, 1, -5>

To find T(pi/2), we need to take the derivative of r(t) and evaluate it at t = pi/2.

r'(t) = (-sin t)i + (cos t)j + 0k

r'(pi/2) = (-sin(pi/2))i + (cos(pi/2))j + 0k
         = -i

Since T(pi/2) is the unit tangent vector at t = pi/2, we need to normalize r'(pi/2) to get T(pi/2).

|T(pi/2)| = |r'(pi/2)| = |-i| = 1

T(pi/2) = r'(pi/2) / |r'(pi/2)|
        = (-i) / 1
        = -i
        = <-1, 0, 0>

To find N(pi/2), we need to take the second derivative of r(t) and evaluate it at t = pi/2.

r''(t) = (-cos t)i - (sin t)j + 0k

r''(pi/2) = (-cos(pi/2))i - (sin(pi/2))j + 0k
          = 0i - 1j + 0k
          = <0, -1, 0>

Since N(pi/2) is the unit normal vector at t = pi/2, we need to normalize r''(pi/2) to get N(pi/2).

|N(pi/2)| = |r''(pi/2)| = |<0, -1, 0>| = 1

N(pi/2) = r''(pi/2) / |r''(pi/2)|
        = <0, -1, 0> / 1
        = <0, -1, 0>
To find B(pi/2), we can use the formula B = T x N, where x denotes the cross product.

B(pi/2) = T(pi/2) x N(pi/2)
        = <-1, 0, 0> x <0, -1, 0>
        = <0*0 - (-1)*0, 0*0 - 0*0, (-1)*(-1) - 0*0>
        = <0, 0, 1>

Therefore, we have:
r(pi/2) = <0, 1, -5>
T(pi/2) = <-1, 0, 0>
N(pi/2) = <0, -1, 0>
B(pi/2) = <0, 0, 1>

To find the equations of the osculating, normal, and rectifying planes at t = pi/2, we can use the following formulas:

Osculating plane: r(pi/2) + [r'(pi/2) x r''(pi/2)] / |r'(pi/2)|^2 * (t - pi/2)

Normal plane: r(pi/2) + [r''(pi/2) x [r'(pi/2) x r''(pi/2)]] / |r''(pi/2)|^2 * (t - pi/2)

Rectifying plane: r(pi/2) x [r'(pi/2) x r''(pi/2)] / |r'(pi/2)|^2

Plugging in the values we found earlier, we get:

Osculating plane: (0)i + (1)j + (-5)k + [(-i) x <0, -1, 0>] / |-i|^2 * (t - pi/2)
                = (0)i + (1)j + (-5)k - j * (t - pi/2)

Normal plane: (0)i + (1)j + (-5)k + [<0, -1, 0> x [-i x <0, -1, 0>]] / |<0, -1, 0>|^2 * (t - pi/2)
            = (0)i + (1)j + (-5)k + (-i*(t - pi/2)

Rectifying plane: <0, 1, -5> x [-i x <0, -1, 0>] / |-i|^2
                = <0, 1, -5> x <0, 0, -1>
                = <1, 0, 0>

Therefore, the equations for the osculating, normal, and rectifying planes at t = pi/2 are:

Osculating plane: z = -j * (t - pi/2) - 5

Normal plane: y = -i * (t - pi/2) + 1

Rectifying plane: x = 1.

Note that these equations are in the form of a plane equation ax + by + cz = d, where a, b, c are the components of the normal vector to the plane, and d is the distance from the origin to the plane.

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The idea that group work theories are appropriate for all clients all the time is a myth (Third option).

About Group Process:

The term "group process" describes how people collaborate within an organization to complete tasks. Typically, organizations invest a lot of time and effort into defining and achieving goals, but little thought is usually given to how those goals are affecting the most valuable resource of a group - its people.

Since different clients have different demands and priorities, group work might not be suitable for many, but not for all. Different types of clients require different types of collaboration, type of group or individuals, and working strategies that work for their goals the best.

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Answer:

NO. 2

Step-by-step explanation:

Because the y-intercept is 24 and I tried pluging in a point and it works.

on solving the provided question we can say that A larder equity multiplier indicates a greater reliance on debt financing.

Along with addition, subtraction, and division, multiplication is one of the four arithmetic operations. Multiplication in math refers to regularly adding groups of the same size. The formula for multiplication is multiplicand multiplier Equals product. Specifically, multiplicand: First number (factor). divider:

A financial ratio called the equity multiplier gauges how much debt is being used to fund a company's assets in comparison to its owners' equity. It is determined by dividing the total assets by the entire equity of the organization.

Total Assets / Total Equity is the equity multiplier.

A larder equity multiplier indicates a greater reliance on debt financing. The equity multiplier measures the proportion of a company's assets that are funded by debt. Analysts and investors frequently use it to assess a company's financial leverage and risk profile since businesses with higher debt levels may be more susceptible to changes in interest rates, the state of the economy, or other external variables.

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A line passes through the two points (-4,6) and (2,-5). 11x +6y - 80 = 0 is the given line equation.

Its slope would be:

\(m = \dfrac{y-q}{x-p}\)

The slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

The slope m of the line is given as

\(m = \dfrac{y-q}{x-p}\\\\ m = \dfrac{-5-6}{2+4}\\\\ m = \dfrac{-11}{6}\)

The equation of a line is  

\(( y -y_0) = m (x - x_0)\\\\( y -6) = \dfrac{-11}{6} (x+4)\\\\6( y -6) = (-11) (x+4)\\\\6y -36 = (-11x +44)\\\\11x +6y - 80 = 0\)

Hence, the equation is  11x +6y - 80 = 0

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Answer:

yes, it a solution

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

ABC is OBC:30

180-90-30=60

Answer:

angle BDC=60°

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer: Sled dogs have strong survival instincts

Step-by-step explanation:

Based on the information in the excerpt, we can infer that sled dogs have strong survival instincts.

This can be noted when Balto stopped and even when Kaasen shouted at him to go on, the dog did not move. Kaasen

then ran forward to see what was happening and then realised that they were on Topkop River bank and that the ice below it was beginning to give way.

The dog has survival instinct because if they had continued, the team and sled would have pitched forward into the river.

A parabola is a figure similar to the following:

In the example given the parabola opens downwards and the vertex acts as a maximum point. We can also have the following:

This parabola opens upwards and the vertex acts as a minimum point.

Now, the range is the values of the y-variable that the function outputs. We notice that in the first case, the range is the values that are smaller than the y-coordinate of the vertex.

In the second case, we notice that the range is the values that are greater than the y-coordinate of the vertex.

Therefore, we can conclude that the range is determined by the vertex, therefore, the right answer would be C.

Answer:

y-intercept = 31

Step-by-step explanation:

The equation of a straight line in slope-intercept form is y = mx + b, where m is the slope, and b is the y-intercept.

As we know that 11 is the slope, our equation now becomes y = 11x + b.

To find b, you take the given point, and plug the numbers in for x and y in the equation. Now x = 7, and y = 108.

Your equation is now 108 = 11(7) + b and you can solve for b, your y-intercept.

108 = 11(7) + b

108 = 77 + b

31 = b

Therefore, your y-intercept is 31.

Answer:

The equation of hyperbola :  \(\frac{y^{2} }{49 } - \frac{x^{2} }{32 }\)

Step-by-step explanation:

Given - This hyperbola is centered at the origin.

Foci: (0,-9) and (0,9) Vertices: (0,-7) and (0,7)​

To find - Find its equation.

Solution -

We know  that,

Equation of Hyperbola is represented by

\(\frac{y^{2} }{a^{2} } - \frac{x^{2} }{b^{2} }\)

Now,

Given that,

Foci : F(0, -9) and F'(0, 9)

So,

c = 9

And

Vertices : A(0,-7) and A'(0,7)​

So,

a = 7

Also, we know that,

c² = a² + b²

⇒b² = c² - a²

⇒b² = 9² - 7²

⇒b² = 81 - 49

⇒b² = 32

So,

The equation of hyperbola becomes

\(\frac{y^{2} }{49 } - \frac{x^{2} }{32 }\)

The independent set in a graph is a set of vertices that contain no edges. So, no neighboring vertices are included. The max independent set problem is to get an independent set of maximum size in graph G.

The solution for this question is discussed below:

a) The integer linear program for the max independent set problem is as follows:

maximize ∑x_i Subject to: x_i+x_j ≤ 1 {i,j} ∈ E;x_i ∈ {0, 1} ∀i. The variable x_i can represent whether the ith vertex is in the independent set. It can take on two values, either 0 or 1.

b) The LP relaxation for the max independent set problem is as follows:

Maximize ∑x_iSubject to:

xi+xj ≤ 1 ∀ {i, j} ∈ E;xi ≥ 0 ∀i. The variable xi can take on fractional values in the LP relaxation.

c) The family of graphs is as follows:

Consider a family of graphs G = (V, E) defined as follows. The vertex set V has n = 2^k vertices, where k is a positive integer. The set of edges E is defined as {uv:u, v ∈ {0, 1}^k and u≠v and u, v differ in precisely one coordinate}. It can be shown that the size of the max independent set is n/2. Using LP, the value can be determined. LP provides a value of approximately n/4. Therefore, the ratio LP-OPT/OPT is at least c/4. Therefore, the ratio is in for a constant c>0.

d) The size of a max-independent set is equivalent to the number of vertices minus the minimum vertex cover size.

e) The 2-approximation algorithm for vertex cover implies a 2-approximation algorithm for the max independent set.

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Answer: x1= -3, x2=3

Step-by-step explanation:

3xlxl=8+1

3xlxl=9

lxl=3

x=3

=-3

solution

x1= -3, x2=3

Based on the area of the Mojave desert and the area of the scale drawing, the scale of the map is 1 square inches : 2,500 square miles.

The scale of a map is used to find out how the distance on the map relates to the distance on the ground. It is usually shown as a ratio.

The fact that the area of the Mojave desert is 25,000 square miles but only 10 square inches on the scale drawing means that every 10 square inches on the map is equal to 25,000 actual square miles.

The scale is:

10 square inches : 25,000 square miles

In its simplest form, this is:

10 / 10 square inches : 25,000 / 10 square miles

1 square inch : 2,500 square miles

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Arrays allow the programmer to store and access a large number of items in a single, contiguous block of memory.

This makes it easier to access individual items, as well as compare and manipulate groups of items. Furthermore, the use of arrays allows for the efficient use of memory, as each item only needs to be stored once.

1. An array is a collection of data stored in a single, contiguous block of memory.

2. This type of data structure allows for the efficient storage and manipulation of large numbers of items.

3. The items can be indexed, allowing for easy access to individual items, or entire groups of items.

4. Arrays can be manipulated in a number of ways, such as sorting, searching, and calculating various statistics.

5. Arrays are often used to store collections of related data, such as student grades, or a list of products.

6. By using arrays, the programmer can efficiently store and access large numbers of items, while using minimal memory resources.

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The traditional division of a day into 24 hours of 60 minutes each, with each minute made up of 60 seconds.

A tool used to measure and indicate time is a clock, often known as a timepiece.

One of the earliest human creations, the clock satisfies the requirement to measure time intervals less than those found in natural units like the day, lunar month, and year.

Over the centuries, various physical mechanisms have been utilized to power devices.

A few clocks that predate the contemporary model and are based on natural movement include:

A sundial displays the location of a shadow on a flat surface to indicate the time. There are various duration timers; the hourglass is one well-known type. The two time-telling devices that may be the oldest are water clocks and sundials.

The development of led to a significant advancement.

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