Write a program to accept radius of a circle and print its area and circumference

The sum of two multiples of 3 is a multiple of 3. This shows the proof is correct.

It should be noted that the information given is to prove that the sum of a multiple of 3 is also a multiple of 3.

This will be illustrated thus. Let's use the numbers 6 and 15. It should be noted that the addition of the numbers will be:

= 6 + 15

= 21

It should be noted that 21 is a multiple of 3. Therefore, the proofing is correct.

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Answer:

84

Step-by-step explanation:

Since Robin doesn't work at McDonald's, then we would focus on the 1000$ and the 12$/hour, divide 1000 by 12 = 83 \(\frac{1}{3}\) then, complete it by adding \(\frac{2}{3}\) to it (because its BY HOUR) and the answer is 84.

The correct option is C. ((6, 5), (3,2), (2, 4), (6, 3), (1, 0))

Reason: This relation has two y-values of 6 which violates the vertical line test and therefore is not a function.

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The 95% confidence interval for the true population mean age of Camden County College students is (22.8, 25.2) years.

To calculate a confidence interval for the true population mean, we can use the t-distribution and the t-interval function on a TI 83 or TI 84 calculator.

The t-distribution is a distribution of values that are used to estimate the mean of a population when the standard deviation of the population is unknown and the sample size is small (typically n < 30). The t-interval function on a TI 83 or TI 84 calculator calculates a confidence interval for the mean of a population based on a sample of data, using the t-distribution to account for the uncertainty due to sampling error.

To use the t-interval function on a TI 83 or TI 84 calculator to calculate a 95% confidence interval for the true population means the age of Camden County College students, we need to enter the following values:

The sample mean (24 years)

The sample size (21 students)

The standard deviation of the sample (4 years)

The confidence level (95%)

The t-interval function will then calculate the 95% confidence interval for the true population mean age, which in this case is (22.8, 25.2) years. This means that we can be 95% confident that the true population means the age of Camden County College students is within this range.

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A table of values is a collection of ordered pairs that is often produced by replacing numbers in an equation (relation).

Given,

Table of value;

When numbers are substituted into an equation, they typically produce a set of ordered pairs called a table of values (relation). Each ordered pair of numbers in the values table's table of values is related to one another according to the equation.

The relationship between the various data points is displayed using tables of values. In scientific lesson, a table of values could be used. Tables of values are used by scientists and researchers to record their data, which is subsequently examined for patterns. Then, they can utilize this pattern to forecast outcomes.

Therefore,

The process of substituting numbers in an equation results in the creation of a table of values, which is a collection of ordered pairs (relation).

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Answer:

Fraction form: \(\frac{10\sqrt{14} }{7}\)

Decimal form: 5.34522483

Answer:

G = $612.50 when H = 46hours

Step-by-step explanation:

Given:

G = 18.75(H-40) + 500

Where,

G =Gross pay in dollars

H = Number of hours worked

If her gross pay one week was $612.50, what was the

total number of hours she worked that week?

G = $612.50 when H = ?

G = 18.75(H-40) + 500

612.50 = 18.75H - 750 + 500

612.50 = 18.75H - 250

Add 250 to both sides

612.50 + 250 = 18.75H

862.5 = 18.75H

Divide both sides by 18.75

862.5 / 18.75 = 18.75H / 18.75

46 = H

H = 46

If her gross pay one week was $612.50, her total hours worked = 46hours

Answer:

-128

Step-by-step explanation:

Given, f(x)=2x

3

−21x

2

+36x−20

∴f

′

(x)=6x

2

−42x+36

When f(x) is a maximum or a minimum, f

′

(x)=0

Hence, 6x

2

−42x+36=0

x

2

−7x+6=0

x

2

−6x−x+6=0

x(x−6)−1(x−6)=0

(x−6)(x−1)=0

x=1,6

Again f

′′

(x)=12x−42

=6(2x−7)

Now, when x=1,f

′′

(x)=−30 ....[negative]

And when x=6,f

′′

(x)=30 ....[positive]

Hence, f(x) is maximum for x=1 and minimum for x=6.

The maximum and minimum values of f(x) are

f(1)=2(1)

3

−21(1)

2

+36(1)−20

=2−21+36−20=−3

f(6)=2(6)

2

−21(6)

2

+36(6)−20

=432−756+216−20=−128

Answer:

angle X is equal to 130 degree

Step-by-step explanation:

angle sum prop in septagin is 900 degree

so 900-770 is 130

The probability that a voter is either female or Democrat is 0.64 or 64%.

To calculate the probability, we need to determine the number of individuals who are either female or Democrat and divide it by the total number of voters.

From the table, we can see that there are 405 females and 253 Democrats. However, we need to be careful not to double-count the individuals who fall into both categories.

To find the number of individuals who are either female or Democrat, we add the number of females (405) and the number of Democrats (253), and then subtract the number of individuals who are both female and Democrat (150).

So, the number of individuals who are either female or Democrat is 405 + 253 - 150 = 508.

Now, we divide this number by the total number of voters, which is 802, to get the probability: 508 / 802 ≈ 0.64 or 64%.

Therefore, the probability that a voter is either female or Democrat is approximately 0.64 or 64%.

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The number of hours that Larissa's family will drive is given as follows:

66 hours.

The number of hours that Larissa's family will drive is obtained applying the proportions in the context of the problem.

The map calculates drive time with no stops to be 2 3/4 days, hence the number of hours is obtained as follows, considering that each day is composed by 24 hours:

Then the number of hours that Larissa's family will drive is obtained as follows:

48 + 18 = 66 hours.

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In general, to graph a line on the plane, find two points on it and cross them using a straight line.

Finding two points of each of the two lines

And

Thus, the graphs are

y=3x-1

y=-3x-7

Graph both lines at the same time, the intersection point is the solution to the system

Thus, the solution is (x,y)=(-1,-4)

As per the given height of the wall, the approximate weight is 149kN

The term Hydrostatic refers to the force exerted by static water on the plate or object and its magnitude depends upon the positioning of the object inside the water.

Here we have given the following values,

Height = 2.76 upright

Width = 10 m

Here we have to consider the hydrostatic force acting on the wall about the pinned point say P then the expression is looks like,

=> F = ωAx

=> F =  9810(10 × 4) × 2

=> F = 784800 N = 785KN

Now, the weight is calculated as per the Hydrostatic method as,

=> W = (1.33/7) x 785

=> W = 149 kN

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Answer:

62

Step-by-step explanation:

Question has errors in typing that 572 should be √57/2

Because if it's 572 then 2a=1 so

Also

c also comes different

If it's like what I said

then

and

By putting values

Option B can be correct

Answer:

B: a = 1, b= 7, c = -2

Step-by-step explanation:

Quadratic Formula

\(x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0\)

Given:

\(x=\dfrac{-7\pm\sqrt{57}}{2}\)

Comparing the terms of the given x-value with those of the quadratic formula:

\(\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}=\dfrac{-7\pm\sqrt{57}}{2}\)

Therefore:

Using the found values of a and b to solve for c:

\(\implies b^2-4ac=57\)

\(\implies (7)^2-4(1)c=57\)

\(\implies 49-4c=57\)

\(\implies -4c=57-49\)

\(\implies -4c=8\)

\(\implies c=-2\)

In summary:   a = 1,  b = 7,  c = -2

\(\implies x^2+7x-2=0\)

Therefore, option B is the correct solution.

Answer:

C

Step-by-step explanation:

Just took the test and thats the correct answer.

Answer:

D

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

1) 12 boxes

2) 3, 6, 12

3) 12

4) 110 degrees

Step-by-step explanation:

1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.

Length: 4 boxes

Width: 3 boxes

4 x 3 = 12

12 boxes

2)

10% of 30 is 0.1 times 30.

0.1 x 30 = 30/10 = 3

20% of 30 is 0.2 times 20.

0.2 x 30 = 30/5 = 6

40% of 30 is 0.4 times 20.

0.4 x 30 = 30/2.5 = 12

3) Count the cubes. Reminder there are 2 boxes you cannot see.

Top Layer: 2

Middle Layer: 4

Back Bottom Layer: 4

Front Bottom Layer: 2

2 + 4 + 4 + 2 = 12

4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.

180/18 (The angle of each section)

10

11 Sections

10 x 11 = 110

The long jump pit was recently rebuilt to make it level with the runway.  the amount of wood, in meters, is 12.29 meters.

How much wood, in meters, will it take to construct the frame?

Generally, To determine the amount of wood needed in meters, you will need to convert the length of each piece of wood from feet to meters. You can use the conversion factor that 1 foot is equal to approximately 0.3048 meters.

To convert the length of the wood from feet to meters, you can use the formula:

length in meters = length in feet * 0.3048

Using this formula, you can calculate that 2.75 meters is equal to approximately 9 feet, and 9.54 meters is equal to approximately 31.25 feet.

Therefore, the total amount of wood needed in meters is 2.75 meters + 9.54 meters = 12.29 meters.

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Answer:

69 years

Step-by-step explanation:

Data provided in the question

Born date of an Ancient Greek = April 1st 35 BC

Diet date of an Ancient Greek = Aril 1st 35 AD

Based on the above information

We can say that

35 + 35 = 70

We deduct 1 as there is no zero

So, it would be

= 70 - 1 year

= 69 years

Hence, An ancient greek lives 69 years and the same is to be considered

Answer:

88,458,658.57

Step-by-step explanation:

6(1.5)^26(1.5)×2 is the problem

6(1.5)^26(1.5) = 44,229,329.28. Multiply this by two and you get the answer provided above.

The practical domain of the situation is 0 ≤ x ≤ 2.065.

The practical range of the situation is 0 ≤ y ≤ 140.

In Mathematics and Geometry, a domain is simply the set of all real numbers (x-values) for which a particular relation or function is defined.

The horizontal section of any graph is typically used for the representation of all domain values. Additionally, all domain values are both read and written by starting from smaller numerical values to larger numerical values, which means from the left of a graph to the right of the coordinate axis.

Based on the function \(f(x)=-2(4)^{(x+1)} + 140\), the solution for x is given by:

\(x=\frac{-3}{2} +\frac{ln(140)}{2ln(2)}\)

x = 2.065

Therefore, the domain is 0 ≤ x ≤ 2.065 or [0, 2.065].

For the range of the function \(f(x)=-2(4)^{(x+1)} + 140\), we have:

\(f(x)=-2(4)^{(x+1)} + 140\\\\f(x)=-2(4)^{(0+1)} + 140\)

f(x) = 140

Therefore, the range is 0 ≤ y ≤ 140 or [0, 140].

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Answer:

Radius = 3

Since radius is half of diameter diameter is 6 because 3 x 2= 6

Now I multiply that by pi so...

6 x 3.14 = 18.84 So 18.84 is our answer.

The probability that Marcus has to make the new dish exactly 15 times before it goes on the menu is approximately 0.053. The probability that the investor will double his investment is approximately 0.315.

To find the probability that Marcus has to make the new dish exactly 15 times before it goes on the menu, we need to calculate the probability of exactly 10 successes (perfect executions) out of the first 14 attempts and then the probability of a success on the 15th attempt. Each attempt has an 80% chance of success.

Using the binomial probability formula, the probability of exactly k successes in n attempts, with a success probability p, is given by:

\(P(X = k) = (n choose k) * (p^k) * ((1 - p)^(n - k))\)

In this case, we want to calculate\(P(X = 10) * P(X = 1) = (14 choose 10) * (0.8^10) * (0.2^4) * (0.8^1) = 0.0577 * 0.00016 ≈ 0.0092.\)

Therefore, the probability that Marcus has to make the new dish exactly 15 times before it goes on the menu is approximately 0.0092 or 0.92%.

To calculate the probability that the investor will double his investment, we need to consider the scenario where Marcus attempts the recipe once per day until the meeting. Since he has 6 days left and he has already executed the recipe 5 times successfully, he has 1 remaining attempt.

The probability of a success on the last attempt is 0.8, and the probability of failure is 0.2. Therefore, the probability that the investor will double his investment is P(X = 1) = 0.8.

Hence, the probability that the investor will double his investment is approximately 0.8 or 80%.

The binomial probability formula is used to calculate the probability of obtaining a certain number of successes in a fixed number of independent Bernoulli trials. In this case, Marcus's attempts to execute the recipe can be modeled as a binomial distribution since each attempt has a fixed probability of success (80%) and the attempts are independent. By applying the formula, we can determine the probabilities associated with the number of successes and make informed decisions based on those probabilities.

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Answer:

3.25 p

Step-by-step explanation:

hope this helps :))))

The error Justin made in his calculation is "He should have added the values in the numerator before dividing by 2".

The correct answer choice is option B

(x + y + 5) / 2

Where,

x and y are his parents’ current heights in inches,

Mom’s height = 54 inches

Dad’s height = 71 inches

Substitute into the expression

(71 + 54 + 5) / 2

= 130/2

= 65 inches

Justin's work:

( 71 + 54 + 5 ) / 2

= 71 + 27 + 5

= 103 inches

Therefore, Justin should have added the numerators before dividing by 2.

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Given:

Bird center bar chart is given.

Option D is the final answer.

The number of ways to draw five numbers from a group of twelve numbers without considering the order is 792. This can be calculated using the combination formula nCk = n!/((n-k)!k!).

The number of ways to draw five numbers from a group of twelve numbers without considering the order is given by the combination formula.

The formula is nCk = n!/((n-k)!k!), where n is the total number of items in the group and k is the number of items to be chosen. Applying this formula to the given problem, we get 12C5 = 792.

To understand this formula intuitively, imagine picking a team of five players from a group of twelve players. The number of possible teams is the number of combinations of five players that can be formed from the group of twelve players.

For the first player, we have twelve choices. For the second player, we have eleven choices (since one player has already been chosen). Continuing this process, we have 12111098 ways to choose a team of five players if order matters.

However, since the order does not matter, we need to divide this number by the number of ways the five players can be arranged, which is 54321. Therefore, the number of possible teams is (12111098)/(54321) = 792.

In summary, the number of ways to draw five numbers from a group of twelve numbers without considering the order is 792. This can be calculated using the combination formula nCk = n!/((n-k)!k!), where n is the total number of items in the group and k is the number of items to be chosen.

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