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Answer: 7.62

Step-by-step explanation:

\(AB=\sqrt{(-2-1)^{2}+(-3-4)^{2}}=\sqrt{9+49}=\sqrt{58} \approx 7.62\)

The total volume of the object  is 40 in³

The volume of a solid object encompasses the space and capacity that the object can occupy. Here, we have two shapes that make up the solid object, a cylinder, and a sphere. A cylinder is an object that resembles a tube and has two circular sides with the same radius linked by a flat round surface.

The volume of the cylinder is calculated by using the formula:

V = πr²h

V = 3 * 2² * 3         ..... (since radius r = d/2 = 4/2 = 2)

V = 3 * 4 * 3

V = 36 in³

The volume of the sphere = 4/3 πr³

V = 4/3 * 3 * 1³

V = 4 in³

The total volume of the object =  volume of the cylinder + volume of the sphere

The total volume of the object = 36 in³ + 4 in³

The total volume of the object = 40 in³

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Answer:

9 feet

Step-by-step explanation:

since it is a square the area is always the square of the length so we just find the square root of 81

And that is 9

Hopes this helps please mark brainliest

Answer:

9

Step-by-step explanation:

\(\sqrt{81} =9\)

The most appropriate statement is that C. The shaded area represent both 2/3 and 6/9 of the whole shape.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Given a square.

This square is divided in to 9 equal sized squares, with 3 rows and 3 columns.

Out of the 9 equal sized squares, 6 squares are shaded.

We can write the fraction of shaded squares to total number of squares as 6/9.

In the same way, we have in the question that, 6 squares which are shaded is the squares in the first two columns, where each column has three squares.

So we can say that, out of 3 equal sized columns, two columns are shaded.

Fraction of shaded columns to total columns is 2/3.

So 2/3 = 6/9.

Hence shaded area represent both 2/3 and 6/9 of the whole shape.

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Both equations in a system of linear equations have y-intercepts at (0,2) but it is not possible for this system to have only one solution because it depends on another point as well. Option C

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

Given :Both equations in a system of linear equations have y-intercepts at (0,2).

The following steps can be used in order to determine the system have only one solution or not:

According to the given data, both equations in a system of linear equations have y-intercepts at (0,2).

The equation of a line is given by: \(\frac{y-y_{1} }{x-x_{1} } = \frac{y_{2} - y_{1} }{x_{2} -x_{1} }\)

From the above steps, it can be concluded that it does not say that the system to have only one solution because it depends on another point as well.

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The algebraic expression of the statement given as the difference of 27 and 5​ is 27 - 5

The statement is given as:

the difference of 27 and 5​

Difference means minus.

The minus sign is represented as -

This means that the statement given as: the difference of 27 and 5​

Can be represented as

27 minus 5

So, have

27 - 5

Hence, the algebraic expression of the statement given as the difference of 27 and 5​ is 27 - 5

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Answer:

The answer is 28.5

Step-by-step explanation:

Right triangle: 4.5

Top triangle: 6

Rectangle: 18

Your welcome :)

Answer:

The answer will be B. V^6

Answer:

14

Step-by-step explanation:

Answer:

n((2n+3)(5n+2x))

Step-by-step explanation:

that is the step by step solution

Answer:

Step-by-step explanation:

I can help

Step 1

(5n^2+10xn)(2n-3)  Factorise

Step 2

5n^2+10xn factor

5n(n+2x)

5n(n+2x)(2n-3)

Answer

5n(n+2x)(2n-3)

Hope this helps

When the cosine of an angle (0) is 3/5 and the angle lies in quadrant 4, the exact value of the sine of that angle is -4/5.

To find the exact value of sin(0), we can utilize the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1,\) where x is an angle in a right triangle. Since the terminal side of the angle (0) is in quadrant 4, we know that the cosine value will be positive, and the sine value will be negative.

Given that cos(0) = 3/5, we can determine the value of sin(0) using the Pythagorean identity as follows:

\(sin^2(0) + cos^2(0) = 1\\sin^2(0) + (3/5)^2 = 1\\sin^2(0) + 9/25 = 1\\sin^2(0) = 1 - 9/25\\sin^2(0) = 25/25 - 9/25\\sin^2(0) = 16/25\)

Taking the square root of both sides to find sin(0), we have:

sin(0) = ±√(16/25)

Since the terminal side of (0) is in quadrant 4, the y-coordinate, which represents sin(0), will be negative. Therefore, we can conclude:

sin(0) = -√(16/25)

Simplifying further, we get:

sin(0) = -4/5

Hence, the exact value of sin(0) when cos(0) = 3/5 and the terminal side of (0) is in quadrant 4 is -4/5.

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Note the correct and the complete question is

Q- Find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4​ ?

Answer:

22 feet

Step-by-step explanation:

6+5+6+5

= 11+11

= 22

Answer:

90

Step-by-step explanation:

The number of candies can be divided among 2, 3, or 5 children so that is the same as saying: the number of candies must be divisible by 2, 3, and 5. In order for a number to be divisible by 5, it must end in 0 or 5 so we know the number of candies must end in 0 or 5. For a number to be divisible by 2, the number must end in an even number. 5 is not an even number so we know the number of candies must end in 0. If a number is divisible by 3, the digits added are divisible by 3. Go through each number(80, 90, 100) and see which one is divisible by 3. 90 is divisible by 2, 3, and 5.

Proof that 90 is divisible by 2, 3, and 5:

90 ÷ 2 = 45

90 ÷ 3 = 30

90 ÷ 5 = 18

The results are all whole numbers.

Answer:

B

Step-by-step explanation:

time = 8 years

principle = 6000

Money earned = 3000

Money earned= p * r * t

3000 = 6000 * r/100 * 8

3000 = 48000 * r/100

3000 = 480 * r

3000 / 480 = r

6.25 % = r

The required numbers are given as 330, 440, 550, and so on.

Given that,
To determine the number has 0 ones. The digits in my hundreds and tens places are the same.

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

here,
Since the number should be greater than 310 and the digit on the unit place and on the ten places should be identical,
So the number can be given as 330, 440, and so on.

Thus, the required numbers are given as 330, 440, 550, and so on.

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Answer:

A = 108 ft²

Step-by-step explanation:

the length of the smaller rectangle must be 9 (27÷3)

therefore, the ratio of length to width is 3/9 and if the polygons are similar then the length and width of the larger shape would be 6/18

18 x 6 = 108

While each number between 1 and 10 has an equal probability of being picked as a random number, the frequency of each number being selected can vary slightly due to the nature of randomness.

First, it's important to understand what a random number is. A random number is a value that is chosen from a set of possible values with equal probability. For example, if you were to pick a random number between 1 and 10, each number would have an equal chance of being selected.

Now, let's consider the probability of each number being picked. Since there are ten possible numbers between 1 and 10, the probability of each number being selected is 1/10, or 0.1. This means that if you were to pick a random number between 1 and 10 many times, each number would be picked approximately the same number of times.

However, when we talk about the most picked random number, we are looking at the frequency of each number being selected. The frequency of a number being picked is simply the number of times that number appears in a set of random numbers. For example, if we were to pick ten random numbers between 1 and 10, we might end up with the following sequence: 3, 5, 2, 7, 9, 8, 1, 6, 4, 10. In this sequence, the most picked random number would be 1, since it appears once.

Therefore, there is no one most picked random number between 1 and 10, but rather a distribution of numbers that appear with approximately equal frequency.

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Main Answer:The approximate probability is 0.033

Supporting Question and Answer:

How do we calculate the expected average and standard deviation for a sample?

To calculate the expected average and standard deviation for a sample, we need to consider the characteristics of the population and the sample size.

Body of the Solution:

a) To find the expected average amount of the waiter's tips, we can use the fact that the mean of the sample means is equal to the population mean. Since the mean of the tips is given as 7 dollars, the expected average amount of his tips is also 7 dollars.

b) The standard deviation for the average amount of the waiter's tips, also known as the standard error of the mean, can be calculated using the formula:

Standard deviation of the sample means

= (Standard deviation of the population) / sqrt(sample size)

In this case, the standard deviation of the population is given as 2 dollars, and the sample size is 30. Plugging these values into the formula, we have:

Standard deviation of the sample means = 2 / sqrt(30) ≈ 0.365

Therefore, the standard deviation for the average amount of the waiter's tips is approximately 0.365 dollars.

c) To find the approximate probability that the average amount of the waiter's tips is less than 6 dollars, we can use the Central Limit Theorem, which states that for a large sample size, the distribution of sample means will be approximately normal regardless of the shape of the population distribution.

Since the sample size is 30, which is considered relatively large, we can approximate the distribution of the sample means to be normal.

To calculate the probability, we need to standardize the value 6 using the formula:

Z = (X - μ) / (σ / sqrt(n))

where X is the value we want to standardize, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Plugging in the values, we have:

Z = (6 - 7) / (2 / sqrt(30)) ≈ -1825

Using a standard normal distribution table or a calculator, we can find the probability associated with this z-score. The approximate probability that the average amount of the waiter's tips is less than 6 dollars is approximately 0.033.

Final Answer:Therefore, the approximate probability is 0.033, accurate to three decimal places.

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The approximate probability is 0.033

To calculate the expected average and standard deviation for a sample, we need to consider the characteristics of the population and the sample size.

a) To find the expected average amount of the waiter's tips, we can use the fact that the mean of the sample means is equal to the population mean. Since the mean of the tips is given as 7 dollars, the expected average amount of his tips is also 7 dollars.

b) The standard deviation for the average amount of the waiter's tips, also known as the standard error of the mean, can be calculated using the formula:

Standard deviation of the sample means

= (Standard deviation of the population) / sqrt(sample size)

In this case, the standard deviation of the population is given as 2 dollars, and the sample size is 30. Plugging these values into the formula, we have:

Standard deviation of the sample means = 2 / sqrt(30) ≈ 0.365

Therefore, the standard deviation for the average amount of the waiter's tips is approximately 0.365 dollars.

c) To find the approximate probability that the average amount of the waiter's tips is less than 6 dollars, we can use the Central Limit Theorem, which states that for a large sample size, the distribution of sample means will be approximately normal regardless of the shape of the population distribution.

Since the sample size is 30, which is considered relatively large, we can approximate the distribution of the sample means to be normal.

To calculate the probability, we need to standardize the value 6 using the formula:

Z = (X - μ) / (σ / sqrt(n))

where X is the value we want to standardize, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Plugging in the values, we have:

Z = (6 - 7) / (2 / sqrt(30)) ≈ -1825

Using a standard normal distribution table or a calculator, we can find the probability associated with this z-score. The approximate probability that the average amount of the waiter's tips is less than 6 dollars is approximately 0.033.

Therefore, the approximate probability is 0.033, accurate to three decimal places.

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Answer:

192

Step-by-step explanation:

V= S.h = (6×8/2)× 8 = 192

7 L of one solution is mixed with 3 L of another, making a new solution with a total volume of 10 L and concentration 29%. This means the new solution contains

(10 L) * 29% = (10 L) * 0.29 = 2.9 L

of acid.

Let the concentration of the first solution be c%. Each liter of the 15% acid solution contributes 0.15 L, and each liter of the solution of unknown concentration contributes 0.01c L of acid. To end up with a total of 2.9 L of acid, we would get

7 * (0.01c L) + 3 * (0.15 L) = 2.9 L

Solve for c (we can omit the units):

0.07c + 0.45 = 2.9

0.07c = 2.45

c = 35

So the first solution has a concentration of 35%.

A

Step-by-step explanation:

if a user adds a new column to a table that already has rows, the existing rows will default to a value of null for the new column.

When a column is added to a table that has existing rows, the values of the new column will be set to null for all existing rows. This is because the user has not yet specified any values for the new column.

Adding a new column to a table with existing rows will cause the new column values to be set to null for every existing row. This is because the user has not yet specified any values for the new column. This is a default behavior when creating a new column, and it allows the user to specify different values for each row as needed. This is beneficial because it allows the user to easily specify different values for the new column without having to manually enter them for each row.

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The number of sixty-minute cassette tapes ordered is 288 and the number of CDs ordered is 163.

1.49a + 4.98b = $1240.86 equation 1

a + b = 451  equation 2

Where:

Multiply equation 2 by 1,49

1.49a + 1.49b = 671.99 equation 3

Subtract equation 3 from equation 1

568.87 = 3.49b

Divide both sides of the equation by 3.49

568.87 / 3.49

b = 163

Subract 163 deom 451

451- 163 = 288

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The perimeter of square ABCD is 28 units.

The perimeter of a square is the sum of all its sides. In this case, we need to find the perimeter of square ABCD.

The question provides two possible answers: 28 units and 37 units. However, we can only choose one correct answer. To determine the correct answer, let's think step by step.

A square has all four sides equal in length. Therefore, if we know the length of one side, we can find the perimeter.

If the perimeter of the square is 28 units, that would mean each side is 28/4 = 7 units long. However, if the perimeter is 37 units, that would mean each side is 37/4 = 9.25 units long.

Since a side length of 9.25 units is not a whole number, it is unlikely to be the correct answer. Hence, the perimeter of square ABCD is most likely 28 units.

In conclusion, the perimeter of square ABCD is 28 units.

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The three workers can produce 25 thingamajigs if they split their time evenly between producing widgets and thingamajigs.

Step 1: Calculate the production rate of each workerFirstly, calculate the production rate of each worker for both widgets and thingamajigs. In one hour, Karen can make 1 widget or 3 thingamajigs. In one hour, Sue can make 1 widget or 1 thingamajig. Lastly, Peter can make 3 widgets or 1 thingamajig in one hour.Karen's hourly production rate: 1 widget or 3 thingamajigsSue's hourly production rate: 1 widget or 1 thingamajigPeter's hourly production rate: 3 widgets or 1 thingamajig

Step 2: Calculate the total hourly production of the groupSecondly, calculate the hourly production of the entire group. To split their time evenly, they will have to spend 5 hours each producing widgets and thingamajigs.In 5 hours, Karen can produce 5 widgets or 15 thingamajigs (since her hourly production rate is 1 widget or 3 thingamajigs).In 5 hours, Sue can produce 5 widgets or 5 thingamajigs (since her hourly production rate is 1 widget or 1 thingamajig).In 5 hours, Peter can produce 15 widgets or 5 thingamajigs (since his hourly production rate is 3 widgets or 1 thingamajig).Step 3:

Calculate the total number of thingamajigsLastly, add up the total thingamajigs produced by each worker in 5 hours and you'll have the answer:15 (Karen's production) + 5 (Sue's production) + 5 (Peter's production) = 25 thingamajigsIn total, the three workers can produce 25 thingamajigs if they split their time evenly between producing widgets and thingamajigs.

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Biblical tithing basically means you will give 10 percent of your income to the lord.The word tithe refers to "tenth" or "tenth part," so biblical tithing implies offering one-tenth of one's income to the church.

Biblical tithing is the method of giving the first fruits of one's labor to the Lord. Tithing originated from the Old Testament in which people would offer 10% of their harvest to the Lord.Tithing is a way of giving back to God as well as to others, according to the Bible.

As a result, Christians are required to tithe a tenth of their earnings. While this might appear to be a significant amount of money, if Christians can trust God with their finances, they can discover that he blesses them in ways they never imagined. In the New Testament, there is no specific requirement to tithe, but Christians are urged to give generously to the church and those in need.

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