The diameter of a circle is 10 cm. Find its area in terms of π. (pi)

btw pi = 3.14

The area enclosed in one loop of the curve r = cos2θ will be π/8.

Any function between the dependent and independent variables can be represented in a graph diametrically.

For instance, if y = x2 forms a parabola, we may infer from the graph alone that it will always have a positive value, regardless of the range of x.

As per the given curve,

r = cos2θ

Since |cos2θ| ranges between 0 and 1.

At r = 1

cos2θ = 1 ⇒ θ = 0

At r = 0

cos2θ = 0 ⇒ θ = π/4

The area of one loop will be as,

A = 1/2∫r²dθ

A = (1/2)∫cos²2θ dθ

A = (1/2)∫(1 + cos4θ)/2  dθ

A = π/8

Hence" The area enclosed by the given function will be π/8".

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The triangular prism has 3 cylindrical holes with a diameter of 4 cm. The volume of each hole is approximately 60π cubic centimeters, so the total volume of all three holes is about 180π cubic centimeters.

To find the volume of cylindrical holes in the triangular prism, we need to calculate the volume of one cylinder and then multiply it by three (since there are three cylindrical holes).

Volume of one cylinder = πr²h, where r is the radius of the cylinder and h is the height.

Given the diameter of the cylindrical hole is 4 cm, we can find the radius by dividing it by 2

radius (r) = 4 cm ÷ 2 = 2 cm

The height of the cylinder is the same as the length of the prism, which is 15 cm.

Volume of one cylinder = π(2 cm)² × 15 cm

= 60π cm³

Since there are three cylindrical holes, the total volume of the holes is

Total volume of cylindrical holes = 3 × 60π cm³

= 180π cm³

Therefore, the volume of the three cylindrical holes is 180π cubic centimeters.

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--The given question is incomplete, the complete question is given

" Pls help (part 1)

Find the volume of 3 cylindrical holes.

Give step by step explanation! "--

Answer:

sjjejejejenenenwjjwnwnwnwnwnwn

Step-by-step explanation:

ewhw

Answer: can be fixed

Step-by-step explanation:

The number of different selections possible if at least 3 balls must be blue is 35


1. Calculate the total number of possible selections (6 red + 7 blue = 13 total): 13C4 = 715
2. Calculate the number of possible selections that have fewer than 3 blue balls: 6C4 = 15
3. Subtract the number of possible selections with fewer than 3 blue balls from the total number of possible selections: 715 - 15 = 700
4. Divide the answer by the number of selections with exactly 3 blue balls: 700/7 = 100
5. Multiply the result by the number of selections with exactly 4 blue balls: 100 * 7 = 700
6. Finally, subtract the number of selections with 4 blue balls from the total number of possible selections: 715 - 700 = 35

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Answer:

89 beads

Step-by-step explanation:

=33+37+19

= 89 beads all together

Answer: 1a. f(2) is an x-value

1b. f(x) = 4 is a y-value

1c. f(-10) is an x-value

1d. m(x) = 64 is a y-value

2.  f(4) = 17

3.  x = 39

Step-by-step explanation:  In general, if there is an equal sign, the output f(x) is a y-value. if the expression is f(#) with a number in the parentheses, that is the value to insert for x.

2.) f(x) = 2x + 9

f(4) = 2(4) + 9

f(4) = 8 + 9

f(4) = 17

3. f(x) = 5x -3

192 = 5x -3

192 + 3 = 5x

195 = 5x

39 = x

Answer:

energy is the right answer

The $1314^\text{th}$ digit past the decimal point is 2.

To find the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$, we can use long division to compute the decimal expansion of the fraction.

The long division of $\frac{5}{14}$ is as follows:

```

0.35    <-- Quotient

-----

14 | 5.00

   4.2    <-- Subtract: 5 - (14 * 0.3)

   -----

     80   <-- Bring down the 0

     70    <-- Subtract: 80 - (14 * 5)

     -----

     100   <-- Bring down the 0

      98    <-- Subtract: 100 - (14 * 7)

      -----

       20   <-- Bring down the 0

       14    <-- Subtract: 20 - (14 * 1)

       -----

        60   <-- Bring down the 0

        56    <-- Subtract: 60 - (14 * 4)

        -----

         40   <-- Bring down the 0

         28    <-- Subtract: 40 - (14 * 2)

         -----

         120   <-- Bring down the 0

         112    <-- Subtract: 120 - (14 * 8)

         -----

           80   <-- Bring down the 0

           70    <-- Subtract: 80 - (14 * 5)

           -----

           ...

```

We can see that the decimal expansion of $\frac{5}{14}$ is a repeating decimal pattern with a repeating block of digits 285714. Therefore, the $1314^\text{th}$ digit past the decimal point is the same as the $1314 \mod 6 = 0^\text{th}$ digit in the repeating block.

Since $1314 \mod 6 = 0$, the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$ is the first digit of the repeating block, which is 2.

So, the $1314^\text{th}$ digit past the decimal point is 2.

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The statement that is NOT true in a Chi-Square test is "Small values of the chi squared test statistic would lead to a decision to reject the null hypothesis."

This is because if the test statistic is small, it means that the observed values are close to the expected values, and there is no significant difference between the populations. Therefore, a small test statistic would lead to a failure to reject the null hypothesis. In a Chi-Square test, we compare the proportions of specified characteristics in different populations, and we wish to determine whether they are the same or not. If the test statistic is large, it means that the observed values are significantly different from the expected values, and we have evidence to reject the null hypothesis. Finally, the P-value will be small if the test statistic is large, indicating strong evidence against the null hypothesis.

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Answer:

Step-by-step explanation:

any point looks like this   --> point A = ( x, y )

point 1 = (5,4)

point 2 = (-9, 2)

we are given these points and are asked what is the x coordinate that is in the middle

so find the distance between the two 'x' coordinates

5 - (-9)

5 + 9 = 14

that's the distance between the points , now chop that in half.  so 7

now add 7 to negative 9

or subtract 7 from 5

either way gets    -2

-2 is the mid point of the 'x' coordinate

Answer:

Step-by-step explanation:

The equation of the graph given in the diagram which represents an absolute value function is: y = |x - 3| + 5.

The equation, in vertex form, of a absolute value function is expressed as y = a|x – h| + k, where:

From the graph, we know that:

Vertex (h, k) = (3, 5)

Substitute h = 3 and k = 5 into the equation, y = a|x – h| + k:

y = a|x - 3| + 5

A point on the graph is (5, 7). To find the value of a, substitute x = 5 and y = 7 into the equation y = a|x - 3| + 5:

7 = a|5 - 3| + 5

7 = 2a + 5

7 - 5 = 2a + 5 - 5 [subtraction property of equality]

2 = 2a

Divide both sides by 2

2/2 = 2a/2 [division property of equality]

Substitute a = 1 into y = a|x - 3| + 5:

y = |x - 3| + 5 [equation of the absolute value function]

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A posted speed limit of 55 mph means that: You may drive 55 mph only under favorable conditions.

Speed limits on road traffic, as used basically to set the legal maximum speed at which vehicles are permitted to utilize on a given stretch of road.

Now generally, speed limits are normally indicated on traffic signs reflecting the maximum allowable speed in kilometers per hour (km/h) or eevn miles per hour (mph). They are primarily set by the legislative bodies of national or provincial governments and then enforced by law enforcement agencies. This suggests that speed limits varies from road to road and is even absent in some certain areas.

Now, in this question we are told that the posted speed limit is 55 mph. Thus, from our definitions of speed limits above it is clear that A posted speed limit of 55 mph means that: You may drive 55 mph only under favorable conditions.

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An individual's BMR decreases approximately 3 to 5 percent per decade on an average after the age of option C. 30.

Therefore, on an average individuals BMR is approximately decreases by round about 3 to 5 percent per decade after the age of option c. 30.

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1)  the language L1 is accepted by this PDA.

2) the language L2 is accepted by this PDA.

To draw trans diagram of a PDA for the following languages, we need to proceed as follows:

(1) The language, L1 = {an c bn : n ≥ 0}, can be represented in the form of a PDA as follows:

We can explain the above trans diagram as follows:

Initial state is q0.

Stack is initiated with Z.

We make a transition to q1, upon reading a, push 'X' onto the stack.

We remain in q1 as long as we read 'a' and continue pushing 'X' onto the stack.

The transition is made to q2 when 'c' is read. In q2, we keep on poping 'X' and reading 'b'.

Once we pop out all the Xs from the stack, we move to the final state, q3.

Thus the language L1 is accepted by this PDA.

2) The language L2 = {an b2n : n ≥ 0}, can be represented in the form of a PDA as follows:

We can explain the above trans diagram as follows:

Initial state is q0.

Stack is initiated with Z.

We make a transition to q1, upon reading a, push 'X' onto the stack.

We remain in q1 as long as we read 'a' and continue pushing 'X' onto the stack.

The transition is made to q2 when 'b' is read.

In q2, we keep on poping 'X' and reading 'b'.

Once we pop out all the Xs from the stack, we move to the final state, q3.

Thus the language L2 is accepted by this PDA.

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You have the parent function f(x) given by:

(this function is the simplest form of a line in the coordinate plane).

To obtain a line d(x) with a slope of 1/4 and a y-intercept of 9, first, it is necessary to multiply the parent function by 1/4 (this is the first transformation):

next, add 9 to the previous result (this is the second transformation):

Thus, to obtain the required linear function d(x), the previous T1 and T2 transformations are needed. The last result is a line with slope 1/4 and y-intercept 9.

Answer:

so first you

Step-by-step explanation:

find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image.

Answer:

9√5 or ≈ 20.12

Step-by-step explanation:

Using the Pythagorean Theorem, which states that c² = a² + b², you can plug in values where x is c or the hypotenuse.

x² = 18² + 9²

x² = 324 + 81

x² = 405

Then, square root to find x.

x = √81 * 5

Take out the 9

x = 9√5 (≈ 20.12)

Hope this helps! :)

The square meters of area for Waylon to have a bounce on the trampoline is given by A = 12.56 m²

Given data ,

The area of a circle can be calculated using the formula A = πr², where A is the area and r is the radius of the circle.

Given that the diameter of the trampoline is 4 meters, we can find the radius by dividing the diameter by 2:

radius = diameter / 2 = 4 / 2 = 2 meters

Now, we can calculate the area using the formula:

A = π(2)² ≈ 3.14 * 4

A = 12.56 square meters

Hence , Waylon will have approximately 12.56 square meters of area to bounce on the trampoline

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only Outcome D is a Pareto efficient outcome. In this given scenario, "A and D" are Pareto efficient outcomes.What is Pareto efficiency? Pareto efficiency is a state of allocation of resources in which it is impossible to make any one individual better off without making at least one individual worse off.

What are the given allocations and benefits of individuals? The net benefit for each individual in each allocation is given below: (The two numbers in each of the following brackets indicate the net benefits for individual 1 and individual 2, respectively.) Outcome A: (10, 25) Outcome B: (20, 10) Outcome C: (14, 20)Outcome D: (15, 15) Which of the outcomes are Pareto efficient?

Now, let's see which of the given outcomes are Pareto efficient: Outcome A: If we take Outcome A, then individual 1 gets 10 and individual 2 gets 25 as their net benefits. But the allocation isn't Pareto efficient because if we take Outcome B, then individual 1 gets 20 which is greater than 10 as his net benefit, and the net benefit for individual 2 would become 10 which is still greater than 25. Therefore, Outcome A isn't Pareto efficient. Outcome B: If we take Outcome B, then individual 1 gets 20 and individual 2 gets 10 as their net benefits.

But the allocation isn't Pareto efficient because if we take Outcome C, then individual 1 gets 14 which is less than 20 as his net benefit, and the net benefit for individual 2 would become 20 which is greater than 10. Therefore, Outcome B isn't Pareto efficient.Outcome C: If we take Outcome C, then individual 1 gets 14 and individual 2 gets 20 as their net benefits. But the allocation isn't Pareto efficient because if we take Outcome A, then individual 1 gets 10 which is less than 14 as his net benefit, and the net benefit for individual 2 would become 25 which is greater than 20. Therefore, Outcome C isn't Pareto efficient.

Outcome D: If we take Outcome D, then individual 1 gets 15 and individual 2 gets 15 as their net benefits. The allocation is Pareto efficient because there is no other allocation where one individual will be better off without harming the other individual.Therefore, only Outcome D is a Pareto efficient outcome.

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For a random sample of 130 mortgages with 20 delinquents on their current payment, the mean of the sampling distribution of the proportion of delinquent payments is not possible to say because population proportion is not known.

A random sample refers to a randomly selected subset of the population. In random sampling, each member of the population has an equal chance of selection, reducing the risk of selection bias. Random sampling ensures that the conclusion drawn from the sample should approximate the results obtained if entire population had been measured. The mean of the sampling distribution is the mean of the population from which results were sampled. As the population proportion (fraction of  the population with certain characteristic) is unknown, the mean cannot be determined.

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Answer:

\(3.14 *15 = 47.1\)

OR

\(15/2 = 7.5\\2*3.14*7.5 = 47.1\)

Circumference = 47.1

Answer:

47.1 inches

Step-by-step explanation:

The circumference is given by

C = pi *d

  =3.14 * 15

=47.1 inches

To identify the vertical asymptotes, we have to factor the denominator. For horizontal asymptotes, we compare the degrees of the numerator and denominator.

For rational functions, there are vertical and horizontal asymptotes. To identify the vertical asymptotes, we first have to factor the denominator. After that, we should look for values that make the denominator zero. These values can be found by setting the denominator equal to zero and solving for x. The resulting x values would be the vertical asymptotes of the function.

The horizontal asymptote is the line that the function approaches as x goes towards infinity or negative infinity. For rational functions, the horizontal asymptote is found by comparing the degrees of the numerator and the denominator.

If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is y = the ratio of the leading coefficients. If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote.

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Answer:

6 minutes

6

6 minutes

6 minutes

Answer: True

Step-by-step explanation: