(17, 17) (0, 13) (19, –11) (14, –17) Is this relation a function?

Rounding to the nearest whole number, Kiran's wheels rotate 169 times.

In mathematics, a function is a relation between two sets in which each element of the first set (called the domain) is associated with exactly one element of the second set (called the range or codomain). The concept of a function is one of the central ideas in mathematics and is used in many areas, including algebra, calculus, geometry, and statistics. A function is typically denoted by a symbol such as f(x) or g(x,y), where the input values (or independent variables) are represented by the variables inside the parentheses, and the output values (or dependent variables) are represented by the expression on the right-hand side of the equation.

Here,

First, we need to convert the distance Kiran rides from yards to inches, since the wheel circumference is given in inches.

1 yard = 36 inches

So, 300 yards = 300 x 36 = 10,800 inches.

Next, we need to find out how many times the wheels rotate to cover this distance.

Since the circumference of one wheel is 64 inches, the distance covered by one rotation of the wheel is 64 inches.

Therefore, the number of rotations needed to cover 10,800 inches is:

10,800 / 64 = 168.75

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Answer:

The scale factor is  

Is a reduction

Step-by-step explanation:

we know that

The scale factor is the ratio of the corresponding side of resulting triangle by the corresponding side of the first triangle

Let

z-----> the scale factor

x------> the corresponding side of resulting triangle

y------> the corresponding side of the first triangle

so

In this problem we have

substitute

The scale factor is less than one

therefore

Is a reduction

The angle vertically opposite to angle 130° will be equivalent to 130° since they are vertically opposite angles.

So, the angle corresponding to x+139° will be equivalent to 130°.

Which means :

\( = x+ 139 = 130\)

\( = x = 130 - 139\)

\( =\color{hotpink} x = - 9\)

Therefore, the correct option is :

\(\color{hotpink}\bold{A) -9}\)

Answer:

the answer is number 1

Step-by-step explanation:

integers are whole numbers

Answer:

y=-2x-6

Step-by-step explanation:

y-10=-2(x-2)

distribute

y-10=-2x+4

subtract 10 from both sides

y=-2x-6

The volume (V) of the solid obtained by rotating the region bounded by the curve y = (6/7)x^2 about the x-axis is V = π[((9/245)b^5) - ((9/245)a^5)].

the volume (V) of the solid obtained by rotating the region bounded by the curve y = (6/7)x^2 about the x-axis is (2/3)π[(13/7) * sqrt(13/7)] cubic units.

To find the volume (V) of the solid obtained by rotating the region bounded by the curve y = (6/7)x^2 about the x-axis, we can use the disk method. Here's a step-by-step explanation:

1. Identify the function: y = (6/7)x^2

2. Determine the limits of integration: Since we are not given specific bounds, let's assume the region is defined between x=a and x=b.

3. Set up the integral for the disk method: V = π∫[f(x)]^2 dx, where f(x) = (6/7)x^2.

4. Substitute the function and limits into the integral: V = π∫[a to b] [(6/7)x^2]^2 dx

5. Simplify the integral: V = π∫[a to b] (36/49)x^4 dx

6. Integrate to x: V = π[(9/245)x^5]∣[a to b]

7. Evaluate the definite integral: V = π[((9/245)b^5) - ((9/245)a^5)] So, the volume (V) of the solid obtained by rotating the region bounded by the curve y = (6/7)x^2 about the x-axis is V = π[((9/245)b^5) - ((9/245)a^5)].

To find the volume V of the solid obtained by rotating the region bounded by the curve y = 13/7 − x2  about the x-axis. Let us consider a region bounded by the curve y = 13/7 − x2 and the x-axis.Let us rotate this region about the x-axis to obtain a solid with a volume.The region bounded by the curve y = 13/7 − x2 and the x-axis is shown below:We need to integrate to find the volume V of the solid obtained by rotating the region bounded by the curve y = 13/7 − x2  about the x-axis. The volume of the solid is given by: V = ∫(π.y2)dx, where y = 13/7 − x2Integrating V, we get: V = π ∫ (13/7 − x2)2 dx Let us evaluate the integralπ ∫ (13/7 − x2)2 dx= π [(13/7) * x - (1/3) * x3] limits from -sqrt(13/7) to +sqrt(13/7))= π [(13/7) * sqrt(13/7) - (1/3) * (13/7)3/2] - π [-(13/7) * sqrt(13/7) - (1/3) * (13/7)3/2]= (2/3)π[(13/7) * sqrt(13/7)] cubic unitsTherefore, the volume of the solid is (2/3)π[(13/7) * sqrt(13/7)] cubic units.

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Answer:

2.1 hr

Step-by-step explanation:

[0.8 m × (100 cm)/(1 m)]/(38.2 cm/hr) = 2.1 hr

The critical point of f at z = 1 is a local minimum.

To find the critical points of the function f(z, 3) = 4z^2 - 8z + 1, we need to find the values of z where the first partial derivatives with respect to z are equal to zero. Let's solve it step by step.

Take the partial derivative of f with respect to z:

∂f/∂z = 8z - 8

Set the derivative equal to zero and solve for z:

8z - 8 = 0

8z = 8

z = 1

The critical point of f occurs when z = 1.

To determine whether the critical point is a local minimum, local maximum, or a saddle point, we can use the second partial derivative test. We need to calculate the second partial derivative ∂²f/∂z² and evaluate it at the critical point (z = 1).

Taking the second partial derivative of f with respect to z:

∂²f/∂z² = 8

Evaluate the second derivative at the critical point:

∂²f/∂z² at z = 1 is 8.

Analyzing the second derivative:

Since the second derivative ∂²f/∂z² = 8 is positive, the critical point (z = 1) corresponds to a local minimum.

Therefore, the critical point of f at z = 1 is a local minimum.

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Answer:

should be 1 and 33/80

Step-by-step explanation:

Answer: 1 33/80

Step-by-step explanation:

The net income for Griffin's Goat Farm, Inc., was \(\$184,340\).

The operating cash flow (OCF) for Kerber's Tennis Shop, we can use the following formula:

\(OCF = EBIT + Depreciation - Taxes + \triangle Working Capital\)

where EBIT is earnings before interest and taxes.

Calculate EBIT by subtracting interest expense from operating income:

EBIT = Operating Income - Interest Expense

We do not have the information for operating income, but we can use the fact that interest expense was. \(\$165,000\) to calculate EBIT.

EBIT = Interest Expense / (1 - Tax Rate)

= \(\$165,000 / (1 - 0)\)

= \(\$165,000\)

Calculate the change in working capital (Δ Working Capital). We are told that the company reduced its net working capital investment by \(\$69,000\), which means that working capital increased by  \(\$69,000\).

Therefore:

\(\triangle Working Capital = \$69,000\)

Now, we can calculate OCF:

OCF = EBIT + Depreciation - Taxes + Δ Working Capital

=\(\$165,000 + 0 - 0 +\ $69,000\)

=\(\$234,000\)

Therefore, the firm’s 2018 operating cash flow (OCF) was \(\$234,000\) .

To calculate the net income for Griffin's Goat Farm, we can use the following formula:

Net Income = EBIT - Interest Expense - Taxes

where EBIT is earnings before interest and taxes. We can calculate EBIT as:

EBIT = Sales - Costs - Depreciation

= \(\$686,000 - \$332,000 - \$65,000\)

=\(\$289,000\)

Next, we need to calculate taxes. We are given a tax rate of 24%, so:

Taxes = Tax Rate x (EBIT - Depreciation)

= \(0.24 \times (\$289,000 - \$65,000)= \$56,160\)

Now, we can calculate net income:

Net Income = EBIT - Interest Expense - Taxes

= \(\$289,000 - \$48,500 - \$56,160= \$184,340\)

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Answer:

9

Step-by-step explanation:

There are nine angles in a nonagon.

Answer:

The correct option is (B).

Step-by-step explanation:

The conditional probability of an event, say A is the probability of that events (A) when it is known that another event, say X has already occurred.

For example, consider the experiment of drawing two marbles from jar consisting of 8 white and 2 red, without replacement. The probability of selecting a red marble after a white marble is known as conditional probability.

In this case it is provided that:

The statement:

"the probability that a student who is a licensed driver is a male"

Is a statement of conditional probability.

This is because it is known from previous information that the student is a licensed driver and we need to determine the probability of this student being a male.

Thus, the correct option is (B).

To radix sort the given list of integers in base 10, we can perform multiple passes of counting sort based on the digits from right to left. Here's the step-by-step process:

First sort:

Original list: 483 525 582 143 645 522

Counting sort based on the least significant digit (unit place):

143 522 483 582 645 525

Second sort:

Original list: 143 522 483 582 645 525

Counting sort based on the tens place:

143 522 525 582 645 483

Third sort:

Original list: 143 522 525 582 645 483

Counting sort based on the hundreds place:

143 483 522 525 582 645

The final sorted list is: 143 483 522 525 582 645

The time complexity of Quick sort depends on the partitioning scheme and the initial ordering of the elements. In the worst case scenario, when the array is already sorted or contains equal elements, Quick sort has a time complexity of O(n^2). This is because in each recursive call, the pivot chosen will always be the smallest or largest element, resulting in uneven partitioning.

In the given array A = {12, 8, 7, 4, 2, 6, 11}, making a call to Partition(A, 1, 7) means partitioning the array from the first element to the seventh element. The resulting sequence of numbers in A after the partition operation will depend on the chosen pivot. Since the pivot index is not specified, it is not possible to determine the exact resulting sequence without knowing the pivot selection mechanism.

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Answer:

256 train or 80% of the trains arrived on time

Step-by-step explanation:

Total trains that arrived in a week = 320 trains

Late = 5% of 320

early = 15% of 320

On time = 320 - (15 + 5% of 320)

=> 320 - (20% * 320)

=> 320 - 64

=> 256

Therefore, 256 train or 80% of the trains arrived on time

Hope my answer helps :)

Answer: i think it is D

we have:

\(\frac{z}{w}= \frac{6(cos\frac{\pi }{3}+i.sin\frac{\pi }{3} ) }{3(cos\frac{\pi }{6}+i.sin\frac{\pi }{6}) }\\\\\\<=>\frac{z}{w}=\frac{2(\frac{1}{2}+i.\frac{\sqrt{3} }{2}) }{\frac{\sqrt{3} }{2}+i.\frac{1}{2} }\\\\<=>\frac{z}{w}= \frac{2+2\sqrt{3}.i }{\sqrt{3}+i }\)

Step-by-step explanation:

The function f(x)=1+|2x-5| in piecewise form without using absolute values will be f₁ = 4, f₂ = 2 and  a = 5/2.

Given that,

f(x) = 1 + |2x - 5|

And,

f(x) = {f₁       x < a

         {f₂      x ≥ a

Now,

We have,

f(x) = 1 + |2x - 5|

And,

By definition of absolute value,

|x| = {x        x ≥ 0

       {-x       x < 0

And,

Given the absolute value,

|2x - 5|

Solve for x,

i.e.

2x - 5 = 0

We get,

x = 5/2 = 2.5

i.e.

a = 5/2

i.e.

For all values greater than x = 5/2, 2x - 5 is positive,

And,

For all values less than x = 5/2, 2x - 5 is negative.

So,

|x| = {x        x ≥ 5/2

       {-x       x < 5/2

i.e.

|2x - 5| = {2x - 5        x ≥ 5/2

              {-(2x - 5)       x < 5/2

Now,

f(1) = 1 + |2(1) - 5|

We get,

f₁ = 4

And,

f(2) = 1 + |2(2) - 5|

We get,

f₂ = 2

Hence we can say that the function f(x)=1+|2x-5| in piecewise form without using absolute values will be f₁ = 4, f₂ = 2 and  a = 5/2.

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(C)

Given data:

The given inequalities.

The graph of the given inequalities is shown below.

Answer:

KE = 68.4J

The formula for Kinetic Energy is

KE = 1/2mv^2

m = mass (kg)

v = velocity (m/s)

152 grams to kilograms is 19/125kg

m=19/125

v=30

KE = 19/125 x 30^2

= 342/5

= 68.4

KE = 68.4J

The simplest form of the expression is -10 + 8v + 32w

Given the expression

-10(-v+6w)-w-9(-3w-v)

First, we need to expand the given equation using the distributive law:

-10(-v+6w)-w-9(-3w-v)

= -10-v+6w-w-9(-3w)+9(v)

=  -10-v+6w-w+27w+9v

Collect the like terms:

= -10 - v +9v + 6w - w+ 27w

= -10 + 8v + 32w

Hence the simplest form of the expression is -10 + 8v + 32w

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Answer:

4√5

Step-by-step explanation:

√80 = √4·4·5 = √4²·5 = 4√5

If the target behavior is recorded whenever it occurs at any point within the scoring interval, the measurement procedure used is called continuous recording or event recording. This method involves observing and recording each instance of the behavior without considering its duration or intensity.

Continuous recording is typically used when the target behavior is discrete and occurs relatively infrequently or has a short duration. With this measurement procedure, each occurrence of the behavior is recorded as a separate event, regardless of when it starts or ends within the scoring interval. Examples of behaviors that can be measured using continuous recording include vocalizations, hand clapping, or instances of aggression.

Continuous recording provides a comprehensive account of the frequency or rate at which the behavior occurs, allowing for a detailed analysis of its occurrence patterns. This method is particularly useful when a precise count of behavior instances is needed and when the duration or intensity of the behavior is not a focus of measurement.

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To solve the problem of maximizing z=x1+2x2+x3 with the given constraints:
\(1) x1+x2+x3=7\\2) 2x1−5x2+x3≥1\\3) x1, x2, x3≥0\)

To solve the first problem for maximizing \(z=3x1−x2+3x3+4x4\), we need to find the values of \(x1, x2, x3, and x4\) that satisfy the given constraints.

The given constraints are:
\(1) x1+2x2+2x3+4x4≤40\\2) 2x1−x2+x3+2x4≤8\\3) 4x1−2x2+x3−x4≤10\\4) x1, x2, x3, x4≥0\)
To solve this problem, we can use linear programming techniques, such as the simplex method or graphical method.

Since the question does not specify which method to use, I will provide a general overview of the steps involved in solving this type of problem.

1) Convert the given inequalities into equations by adding slack or surplus variables as needed.

For example, we can rewrite the first constraint as: \(x1+2x2+2x3+4x4+s1=40\)

2) Formulate the objective function. In this case, the objective function is \(z=3x1−x2+3x3+4x4\)

3) Set up the initial tableau by writing the coefficients of the variables in the constraints and the objective function.

4) Use the simplex method or graphical method to find the optimal solution.

This involves iteratively improving the current solution by pivoting on the variables until no further improvement can be made.

5) Once the optimal solution is found, interpret the results.

The values of \(x1, x2, x3, and x4\) in the optimal solution will maximize the objective function z.

For the second problem, the two-phase method is mentioned.

The two-phase method is used when there are artificial variables involved in the initial setup of the tableau.

It involves solving an auxiliary problem to find an initial feasible solution and then proceeding with the regular simplex method.

To solve the problem of maximizing z=x1+2x2+x3 with the given constraints:
\(1) x1+x2+x3=7\\2) 2x1−5x2+x3≥1\\3) x1, x2, x3≥0\)

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Add £48.28 to £142 so you get £190.28

AnswerAnswerAnswerAnswer:

190.28

Step-by-step explanation:

£142 + 34% = £142 x 1.34 = 190.28

Answer:

=

4

-

5

Step-by-step explanation:

Answer:

just a Condit

Step-by-step explanation:

hfjgygdhydv htfhdfjyfdg hyfjkg

Answer:

If two angles are supplementary, then the sum of their measures is 180°.

Answer:

Step-by-step explanation:

C and D are false.  The events are not independent becuase getting 2 greens in a row means, She must get a green AND THEN get another green.  AND THEN means getting the second green is dependent on on getting the first.

B is false.    Lets say you take a green out, and it's out of the bag and stays out.  There is 1 less green to choose from so it's not less likely you will get another green.  But if you put it back then you odds are a little better.  So putting it back matters

A is true, As explained for B, odds are better when you put it back.

y_p(t) = 2 - e^(-t) + te^(-t)

To find a particular solution, we can use the method of undetermined coefficients.

First, complementary solution is y_c(t) = e^(-2t)(c1 cos(t) + c2 sin(t)).

Next, we can guess that the particular solution has the form:

y_p(t) = (a0 + a1t) + (b0 + b1t)e^(-t)

where a0, a1, b0, and b1 are constants that we need to determine.

Taking the first and second derivatives of y_p(t), we get:

y'_p(t) = a1 - b1e^(-t)

y''_p(t) = b1e^(-t)

Substituting y_p(t), y'_p(t), and y''_p(t) into the nonhomogeneous equation, we get:

b1e^(-t) + 4(a1 - b1e^(-t)) + 5(a0 + a1t + b0e^(-t) + b1te^(-t)) = 10x + 5e^(-x)

Simplifying the left-hand side and equating the coefficients of like terms on both sides, we get the following system of equations:

a1 - 4b1 + 5b1 = 0 (coefficient of e^(-t))

-4a1 + 5a0 + 5b0 = 10 (coefficient of 1)

5a1 + 5b1 = 5 (coefficient of te^(-t))

-5b1 = 5e^(-x) (coefficient of e^(-x))

a1 = 0 (coefficient of x)

Solving for the constants, we get:

a1 = 0

b1 = -e^(x)

a0 = 2

b0 = 0

Therefore, the particular solution to the nonhomogeneous differential equation is:

y_p(t) = 2 - e^(-t) + te^(-t)

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Answer:

this would be answer d

owu when minecraft talks to me its like mr blue horse please tell me why you you lead all the creepers to my Mario world 1. he go brrr on a stick is a dog that wants to be a bottle at night with the sun up and the bird went for a walk in his cage while sleeping so i opened a book and it played a video

Step-by-step explanation:

Answer:

the other person is correct

Step-by-step explanation:

D