The area of a circle is 616 cm². Find its circumference. Use π = 22/7
A) 88 cm
B) 44 cm
C) 88 cm²
D) 44 cm²​

Answer:

2760 ft^3

Step-by-step explanation:

Length * width* height

= 11*10*22

= 2420 ft^3

=7*4*10

=280 ft^3

= volume of the big cube + volume of the small cube

=2420 + 280

=2760 ft^3

The four levels of measurement in statistics are nominal, ordinal, interval, and ratio. They differ in terms of the properties of the data and the types of statistical analyses that can be performed on the data.

Nominal level involves data that can be placed into categories or groups with no inherent order or ranking. Examples of nominal data include gender, race, and occupation.

Ordinal level involves data that can be ranked or ordered, but the differences between the data points are not necessarily equal. Examples of ordinal data include educational levels (e.g., high school, college, graduate), or rankings of movies on a scale of 1-5.

Interval level involves data where the differences between the data points are equal, but there is no true zero point. Examples of interval data include temperature (measured in Celsius or Fahrenheit) and calendar years.

Ratio level involves data that has a true zero point and the differences between data points are equal. Examples of ratio data include height, weight, and time.

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Answer:

14.95

Step-by-step explanation:

i have a us sales tax calculator:)

Answer:

(x + 7)(x - 4) = x2 - 4x + 7x - 28 = x2 + 3x - 28

the average of x and y, expressed as a decimal to the nearest tenth, is approximately 3.7 meters per second.

To find the average speed, we need to calculate the average of x and y, where x represents the average speed for the first flight and y represents the average speed for the longest flight.

To calculate the average, we add the values of x and y and divide by 2:

Average = (x + y) / 2

The first flight had a duration of 12 seconds and covered a distance of 37 meters. Therefore, the average speed for the first flight (x) can be calculated as:

x = distance / time = 37 meters / 12 seconds ≈ 3.083 meters per second

The longest flight had a duration of 59 seconds and covered a distance of 260 meters. Therefore, the average speed for the longest flight (y) can be calculated as:

y = distance / time = 260 meters / 59 seconds ≈ 4.407 meters per second

Now, we can find the average of x and y:

Average = (3.083 + 4.407) / 2 ≈ 3.745

Therefore, the average of x and y, expressed as a decimal to the nearest tenth, is approximately 3.7 meters per second.

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Complete question is below

On December 17  at Kitty Hawk, N.C., 1903 the Wright Flyer became the first powered, heavier-than-air machine to achieve controlled, sustained flight with a pilot aboard.

First flight,  Orvile 12 seconds, 37 meters.

Longest flight, Wilbur, 59 seconds, 260 meters.

The average speed for the first flight was x meters per second. The average speed for the longest flight was y meters per second. What is the average of  x and y Express your answer as a decimal to the nearest tenth.

The price that Maura sell each scarf would be =$33. Maura sells each scarf for $33. That is option A.

To calculate the amount of money that Maura spends on each scarf the following is carried out.

The amount of money that she spends on the scarf material = $5.50

The percentage selling price of each scarf = 600% of $5.50

That is ;

= 600/100 × 5.50/1

= 3300/100

= $33.

Therefore, each price that is sold by Maura would probably cost a total of $33.

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Answer:

9.025

Step-by-step explanation:

9+25*0.001

9+0.025

9.025

The amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

In the question, we are informed that the triangle KLM, represents a section of a park set aside for picnic tables. We are also informed that the picnic area will take up approximately 400 square yards of the park.

We are asked for the amount of fencing needed to surround the perimeter of the picnic area of the park.

We know the area of a triangle can be found using the trigonometric area formula, Area = (1/2)ab sin C.

Using this in the given triangle KLM, we get:

Area = (1/2)(KL)(KM)(sin K),

or, 400 = (1/2)(KL)(45)(sin 25°),

or, KL = (400*2)/(45*sin 25°) = 800/(45*0.42262) = 800/19.017822 = 42.0658 ≈ 42 yd.

Thus, we get KL = 42 yards.

Now, the perimeter of the picnic area = the perimeter of the triangle KLM = KL + LM + MK = 42 + 20 + 45 yards = 107 yards.

Thus, the amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

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Answer: b

Step-by-step explanation:

The boat is moving towards the pier at a rate of 5/3 ft/second when it is 25 feet away.

To solve this problem, we can use the concept of related rates. Let's denote the distance between the person on the pier and the boat as "x" and the height of the boat above the ground as "y." We are given that the person is pulling in the rope at a constant speed of 5 ft/second, so the rate of change of "x" with respect to time is 5 ft/second.

We want to find the rate of change of "y" with respect to time when the boat is 25 feet away from the pier, which means x = 25 ft. We are also given that the pier is 15 feet off the ground, so y = 15 ft.

We can use the Pythagorean theorem to relate x and y:

\(x^2 + y^2 = z^2\)

where z is the length of the rope, which remains constant. Taking the derivative of both sides with respect to time:

2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)

Since the person is pulling in the rope at a constant speed, we have dx/dt = 5 ft/second. We need to find dy/dt when x = 25 ft and y = 15 ft.

Substituting the known values into the equation, we have:

2(25)(5) + 2(15)(dy/dt) = 0

50 + 30(dy/dt) = 0

30(dy/dt) = -50

dy/dt = -50/30

dy/dt = -5/3 ft/second

Therefore, the boat is moving towards the pier at a rate of 5/3 ft/second when it is 25 feet away. Note that the negative sign indicates that the boat is moving downwards, towards the ground.

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Answer:

The value of the given expression to the nearest integer is 114,126.

Step-by-step explanation:

\(\displaystyle \sum^{29}_{n=2}80\left(1.23\right)^{n-2}\)

The given sigma notation means

As 80(1.23)ⁿ⁻² is exponential, the series is geometric.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Geometric sequence}\\\\$a_n=ar^{n-1}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\\phantom{ww}$\bullet$ $r$ is the common ratio.\\\phantom{ww}$\bullet$ $a_n$ is the $n$th term.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}\)

Therefore, the first term, a, is 80 and the common ratio, r, is 1.23.

The formula for the sum of the first n terms of a geometric series is:

\(S_n=\dfrac{a(1-r^n)}{1-r}\)

As the exponent of the sigma notation is (n - 2) rather than (n - 1), and the given values of n are from n = 2 to n = 29, we need to find the sum of the first 28 terms.

Therefore, substitute a = 80, r = 1.23 and n = 28 into the sum formula:

\(\implies S_{28}=\dfrac{80\left(1-1.23^{28}\right)}{1-1.23}\)

\(\implies S_{28}=114125.755...\)

\(\implies S_{28}=114126\)

Therefore, the value of the given expression to the nearest integer is 114,126.

The theoretical probability that at least one of the 32 students has the H1N1 influenza virus is: 28.870%.

To calculate the theoretical probability that at least one of the 32 students has the H1N1 influenza virus, we can use the concept of the complement. The complement of the event "at least one student has the virus" is the event "none of the students have the virus."

The probability that a student does not have the virus is 1 - 0.03 = 0.97 (since 3% have the virus, 97% do not).

The probability that none of the 32 students have the virus can be calculated as the product of the individual probabilities of each student not having the virus. Since each student's status is independent, we can multiply the probabilities together.

P(none of the 32 students have the virus) = (0.97)^(32)

Calculating this probability gives us approximately 0.7113.

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Variance and standard deviation are both measures of the dispersion or spread of a dataset, but they differ in terms of the unit of measurement.

Variance is the average of the squared differences between each data point and the mean of the dataset. It measures how far each data point is from the mean, squared, and then averages these squared differences. Variance is expressed in squared units, making it difficult to interpret in the original unit of measurement. For example, if we are measuring the heights of individuals in centimeters, the variance would be expressed in square centimeters.

Standard deviation, on the other hand, is the square root of the variance. It is a more commonly used measure because it is expressed in the same unit as the original data. Standard deviation represents the average distance of each data point from the mean. It provides a more intuitive understanding of the spread of the dataset. For example, if the standard deviation of a dataset of heights is 5 cm, it means that most heights in the dataset are within 5 cm of the mean height.

To illustrate the application of these measures, consider a dataset of test scores for two students: Student A and Student B.

If Student A has test scores of 80, 85, 90, and 95, and Student B has test scores of 70, 80, 90, and 100, we can calculate the variance and standard deviation for each student's scores.

The variance for Student A's scores might be 62.5, and the standard deviation would be approximately 7.91. For Student B, the variance might be 125 and the standard deviation would be approximately 11.18.

These measures help us understand how much the scores deviate from the mean, and how spread out the scores are within each dataset.

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Answer: 3

Step-by-step explanation:

The correct option is A. Write-in adjustments All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are indicated as write-in adjustments.

All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are referred to as write-in adjustments. Line 36 of Schedule 1 is where all write-in adjustments are reported. You have to provide a brief explanation of the adjustment and the corresponding amount for each write-in adjustment.If the IRS has developed an input line for a particular write-in adjustment, taxpayers must use that input line to report the adjustment. 

When writing in adjustments, taxpayers must ensure that the amount they enter is calculated and that they have a reasonable explanation for the adjustment. Taxpayers may be required to provide documentation to support the adjustment if the IRS requests it.

Miscellaneous adjustments and miscellaneous deductions are not used to describe all above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040).

Therefore, options C and D are incorrect. The correct option is A. Write-in adjustments.

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Answer:

(7,3)

Step-by-step explanation:

difference between 3,-8 and 5, -2.5 is 2x and 5.5y.

so, add those to (5,-2.5) and you get (7,3)

The derivative of the function f(x) = 5x^2(x^2 - 3)^15 using the chain rule is f'(x) = (160x^3 - 30x)(x^2 - 3)^14.

To find the derivative of the function f(x) = 5x^2(x^2 - 3)^15, we can apply the chain rule. The chain rule states that if we have a composite function, g(h(x)), then the derivative of g(h(x)) with respect to x is given by g'(h(x)) * h'(x).
In this case, we can let g(u) = 5u^15 and h(x) = x^2 - 3. Therefore, f(x) can be rewritten as g(h(x)) = g(x^2 - 3) = 5(x^2 - 3)^15.
Now, let's find the derivative of g(u) and h(x):
g'(u) = 15u^14
h'(x) = 2x
Applying the chain rule, we have:
f'(x) = g'(h(x)) * h'(x)
= 15(x^2 - 3)^14 * 2x
= 30x(x^2 - 3)^14
Simplifying further, we get:
f'(x) = (160x^3 - 30x)(x^2 - 3)^14
Therefore, the derivative of the function f(x) = 5x^2(x^2 - 3)^15 using the chain rule is f'(x) = (160x^3 - 30x)(x^2 - 3)^14.

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Answer:

16. 53 = 14.50 + p  The answer is 38.50. 17a. Your final bowling score is 105-14, which is equal to 91.

Step-by-step explanation:

53 = 14.50 + p

53-14.50=p

38.50=p

For b... I don't know what a "10nth frame" is. Or a spare. Sorry...

Answer:

The answer is D. Variable. The "letters after the numbers" are always variables. A coefficient is the number that the variable is being multiplied by. An exponent would be something like this: \(x^{2} \\\) with the 2 being the exponent. A binomial is an algebraic expression of the sum or the difference of two terms.

Answer:

(COS) and something I forgot dude

Step-by-step explanation:

Answer: NOT D have a good day!

Step-by-step explanation:

Answer:

C. 9%

Step-by-step explanation:

That's it

The integral of (42³ - 2r + 7) dz is equal to (42³ - 2r + 7)z + C.

To integrate the function (42³ - 2r + 7) dz, we treat r as a constant and integrate with respect to z. The integral of a constant with respect to z is simply the constant multiplied by z:

∫ (42³ - 2r + 7) dz = (42³ - 2r + 7)z + C

where C is the constant of integration.

Note: The integral of a constant term (such as 7) with respect to any variable is simply the constant multiplied by the variable. In this case, the variable is z.

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Answer:

D. 74⁻⁶ (74^-6)

Step-by-step explanation:

Looking at the expression, I remember the following: 1 over an exponent (as a fraction) is the same thing as a negative exponent. None of these answers involve an exponent except for D (although A does involve a negative number). So D, which is 74⁻⁶, is the answer here.

Answer:

Step-by-step explanation:

The value of the given trigonometric function is 1.1547.

The main trigonometric ratios are: sinβ, cosβ and tg β. From these ratios, you can calculate other trigonometric ratios such as sec β, cossec β and cotg β.

These ratios help you find the angles and the sides of a rectangle triangle.

The question asks \(\frac{2 *sin(30)}{cos (30}\), for the angle 30° you have sin=1/2 and cos= \(\frac{\sqrt{3} }{2}\).

Thus,

\(\frac{2 *sin(30)}{cos (30}=\frac{2 *\frac{1}{2} }{\frac{\sqrt{3} }{2} }=\frac{1}{\frac{\sqrt{3} }{2} }= \frac{2}{\sqrt{3} } =\frac{2\sqrt{3} }{3}=1.1547\)

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Answer:

its is a

Step-by-step explanation:

EDGE 2021

Point A Represents (3,-5π/3). Option A is correct.

A pair of coordinates that identify a point's location in a plane; the first is the distance (r) from the point to the origin and the second is the angle (Θ) that this line makes with a fixed-line.

Point A Represents (3,-5π/3).

The radius of all the points from the center of the circle is 3 units.

The angle in the polar coordinate in the clockwise direction is taken as negative and the anticlockwise direction is positive.

The given angle is;

-5π/3

In order to get the position of the angle from the x-axis the angle should be added by 2π as;

Θ = 2π-5π/3

Θ = π/3

The angle is calculated clockwise. From the digrame point, A represents the angle  π/3.

Point A Represents (3,-5π/3).

Hence, option A is correct.

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Since the sum involves a non-exact root, it is an irrational number.

From this, the sum of an irrational number with a rational number is irrational. The square root of 8, which is used in this sum, is not exact, hence it is an irrational number, and thus the sum is irrational.

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After solving the given expression we get  a = b = 12 and q = r = 24.

A fractiοn is a numerical quantity that represents a part οf a whοle οr a ratiο between twο quantities. It is written as a tοp number (numeratοr) οver a bοttοm number (denοminatοr), separated by a hοrizοntal line.

Tο subtract 2/3 - 1/4, we need tο find a cοmmοn denοminatοr fοr the twο fractiοns. The smallest cοmmοn denοminatοr is 12, sο we'll cοnvert each fractiοn tο an equivalent fractiοn with a denοminatοr οf 12:

2/3 = 8/12 (multiply bοth numeratοr and denοminatοr by 4)

1/4 = 3/12 (multiply bοth numeratοr and denοminatοr by 3)

Nοw we can subtract the twο fractiοns:

8/12 - 3/12 = 5/12

Sο 2/3 - 1/4 = 5/12.

Tο express the result as a fractiοn in the fοrm x/y, we can simply use the answer we fοund: x = 5, y = 12, sο:

2/3 - 1/4 = 5/12 = 5/12

Similarly, tο express the result as a fractiοn in the fοrm a/b, we need tο find anοther equivalent fractiοn with a cοmmοn denοminatοr. We can use 24 as a cοmmοn denοminatοr this time:

2/3 = 16/24 (multiply bοth numeratοr and denοminatοr by 8)

1/4 = 6/24 (multiply bοth numeratοr and denοminatοr by 6)

Nοw we can subtract the twο fractiοns:

16/24 - 6/24 = 10/24

Sο 2/3 - 1/4 = 10/24.

Tο express the result as a fractiοn in the fοrm a/b, we can simplify the fractiοn by dividing bοth numeratοr and denοminatοr by their greatest cοmmοn factοr, which is 2:

10/24 = (10 ÷ 2) / (24 ÷ 2) = 5/12

Sο we get a=b=12 and q=r=24.

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Yes,the z-transform of x(n) exists for all values of a>0 because the ROC lies within these limits.  

The given function X(z)=(1-a^2)/(1−az)(1−az^−1) with ROC a>∣z∣>1/a.

X(z)=(1-a^2)/(1−az)(1−az^−1) with ROC a>∣z∣>1/a

Let’s compute the value of the z-transform by taking z-transform on both sides

X(z)=(1-a^2)/(1−az)(1−az^−1)Z

{X(z)} = Z {((1-a^2)/(1−az)(1−az^−1))}

Therefore, Z {X(z)}= (1-a^2) Z {1/ (1−az) (1−az^−1)}

The ROC of Z {1/ (1−az) (1−az^−1)} is |z| > a.

This can be obtained by using the partial fraction technique.ROC a>∣z∣>1/a; this means that the ROC of the z-transform of x(n) will be within these limits.

It follows that the z-transform exists for all values of a>0.

The z-transform of x(n) exists for all values of a>0 because the ROC lies within these limits.  Therefore, the given statement is True.

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