Find the lateral (side) surface area of the cone generated by revolving the line segment y=7/x, 0≤x≤5, about the x-axis. Check your answer with the following geometry formula.
Lateral surface area =1/2× base circumference × slant height

Answer:

there will only be one 3

Step-by-step explanation:

see cause the first 3 of both numbers are 2 but only the last one of both numbers are 3 .

(a) Using combination, the number of ways to choose 10 players to take the field is 286. (b) Using permutation, the number of ways to assign the 10 positions is 1037836800.

The softball team has 13 people for a game.

a) Since the sequence doesn't matter, there are a total of 13 ways to select 10 players, which results in the following combination:

₁₃C₁₀ = 13! / ( 13 - 10 )! 10!

₁₃C₁₀ = ( 13 × 12 × 11 ) / ( 3 × 2 )

₁₃C₁₀ = 13 × 2 × 11

₁₃C₁₀ = 286

b) The permutation of 13 players for 10 slots yields a total of possible positions that can be assigned by choosing 10 players:

₁₃P₁₀ = 13! / ( 13! - 10! )

₁₃P₁₀ = 13! / 3!

₁₃P₁₀ = 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4

₁₃P₁₀  = 1037836800

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The simplified form of the expression is "5 ³√x²."

We are given the expression 7 ³√x² - 2 ³√x². Both terms have the same base, which is the cube root of x squared. When we subtract these terms, we are left with 7 ³√x² minus 2 ³√x², which simplifies to 5 ³√x². Therefore, the simplified form of the expression is 5 ³√x².

To simplify the expression, let's break it down step by step.

The expression is 7 ³√x² - 2 ³√x². Both terms have the same base, which is the cube root of x squared.

To subtract the terms, we need to have the same base. Let's denote the cube root of x squared as a common factor: ³√x². Now we can rewrite the expression as follows:

7 * ³√x² - 2 * ³√x²

Next, we can simplify each term individually. For the first term, 7 * ³√x², we can multiply the coefficients: 7 * ³√x² = 7 * x^(2/3) = 7x^(2/3).

For the second term, 2 * ³√x², we can multiply the coefficients: 2 * ³√x² = 2 * x^(2/3) = 2x^(2/3).

Now we can subtract the two simplified terms: 7x^(2/3) - 2x^(2/3). Since the bases (x^(2/3)) are the same, we can subtract the coefficients: 7 - 2 = 5.

Finally, we multiply the coefficient 5 by the common base x^(2/3): 5 * x^(2/3) = 5x^(2/3).

Therefore, the simplified form of the expression 7 ³√x² - 2 ³√x² is 5 ³√x².

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Answer:

True

Step-by-step explanation:

Answer:

x = 5

Please tell me if im incorrect and hope this helped ^^

Answer: 5

Step-by-step explanation:

If you subsitute your answer (5) in the question, it would be 5-15=-10

In a study, the data you collect is number of walk buttons that work in New York city, which is discrete type of data.

We know that,

The data which is in numeric form is called Quantitative data.

Example: Weight, Marks, etc.

The data which we can't count is known as Qualitative data.

Example: Smoking, Non- Smoking, etc.

Quantitative data can be divided into two parts:

- Continuous

- Discrete

The data which we can count is known as the Discrete data . It includes the natural numbers only.

Example: Number of apples, Number of senior citizens in a particular area, etc.

The data which we can't count is known as Continuous data . Example: Height, Weight, etc.

In this question,  the data you collect is number of walk buttons that work in New York city. This is discrete type of date.

Therefore,  in a study, the data you collect is number of walk buttons that work in New York city, which is discrete type of data.

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Answer:

8a+6b+4c is the right answer

Answer:

=1a+6b+4c+7a

=1a+7a+6b+4c

=8a+6b+4c

Answer:

3

Step-by-step explanation:

The slope of a line can be found by dividing the amount that the line "rises" over a certain amount of "run". In this case, the line rises 6 units while moving 2 units to the right. 6/2=3, meaning that the slope of this line is 3. Hope this helps!

When 293 college students are randomly selected and surveyed, it is found that 114 own a car. The upper limit for the 90% confidence interval for the percentage of all college students who own a car is 46.3%.

The given problem is an example of confidence intervals in statistics. The formula for finding the confidence interval in percentage is given below:

Confidence Interval in Percentage = P ± Z Score x √ (PQ/n)

where

P = Sample proportion

Q = 1 - P

n = Sample Size

Z Score is obtained from the Z-Table where the confidence level is given.

To obtain the upper limit, the following formula should be used:

Upper Limit of the Confidence Interval = P + Z Score x √ (PQ/n)

Substitute the given values of the question into the formula:

P = 114/293 = 0.3891

Q = 1 - 0.3891 = 0.6109

n = 293

The upper limit for the 90% confidence interval is given by the Z-Table at 1.645:

Upper Limit of the Confidence Interval = 0.3891 + 1.645 x √ [(0.3891 x 0.6109)/293]

≈ 0.3891 + 1.645 x 0.0467

≈ 0.3891 + 0.07701

≈ 0.4661 = 46.3%

Therefore, the answer is 46.3%.

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The answer is 5.1 completes the inequality.

Hence, The answer is 5.1 completes the inequality.

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The vectors u, v, and w are linearly independent if and only if k ≠ -8.

To understand why, let's consider the determinant of the matrix formed by these vectors:

| -4   -3    -4   |

| -3   -3    -11+k |

| 5    -11+k  7    |

If the determinant is nonzero, then the vectors are linearly independent. Simplifying the determinant, we get:

(-4)[(-3)(7) - (-11+k)(-11+k)] - (-3)[(-3)(7) - 5(-11+k)] + (-4)[(-3)(-11+k) - 5(-3)]

= (-4)(21 - (121 - 22k + k^2)) - (-3)(21 + 55 - 55k + 5k) + (-4)(33 - 15k)

= -4k^2 + 80k - 484

To find the values of k for which the determinant is nonzero, we set it equal to zero and solve the quadratic equation:

-4k^2 + 80k - 484 = 0

Simplifying further, we get:

k^2 - 20k + 121 = 0

Factoring this equation, we have:

(k - 11)^2 = 0

Therefore, k = 11 is the only value for which the determinant becomes zero, indicating linear dependence. For any other value of k, the determinant is nonzero, meaning the vectors u, v, and w are linearly independent. Hence, k ≠ 11.

In conclusion, the vectors u, v, and w are linearly independent if and only if k ≠ 11.

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The mean of the distribution of sample means would be 27 hours, which is the same as the average life of the candles.

This is because the sample means would be expected to be centered around the population mean.

The standard deviation of the distribution of sample means (also known as the standard error of the mean) can be calculated using the formula:

standard deviation of sample means = standard deviation of population / square root of sample size

In this case, the standard deviation of sample means would be:

6 / square root of 4 = 3

So the answer is 3.

So, the mean of the distribution of the sample means would be 3. Your answer: 3.

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Answer:

Value of x = 9 degrees

Angle C = 55 degrees

Answer:

7a + 8b + 3c

Step-by-step explanation:

Group together like terms and simplifyy

Answer:

7a + 8b + 3c

Step-by-step explanation:

2a + 5b + 7a + 3b - 2a + 3c

= 2a - 2a + 7a + 5b + 3b + 3c

= 7a + 8b + 3c

Answer:

Option B is answer.

Step-by-step explanation:

Hey there!

Given;

f(X) = X(X+5)(x-8)

According to the factor theorem, f(X) = 0;

Or, X(X+5)(x-8) = 0

Either;

x = 0

Or;

(x+5)= 0

X = -5

Or;

(x-8)= 0

x = 8.

Therefore, the zeros of the polynomial are: 0,-5,8.

Hope it helps!

For the levels of qualitative, the variable called dummy variables is used in the multiple regression method.

According to the statement

we have given that the by which method we use the different levels of a qualitative independent variable and we have to explain about it.

So, For his purpose, we know that the

A dummy variable is a variable that takes values of 0 and 1, where the values indicate the presence or absence of something.

And in the multiple regression method there are a lot of different variables which are used for a qualitative and for this a variable is used which is called the dummy variables.

By this variables we show the analysis between the given data. it gives the output in the 0 and 1 numbers.

So, For the levels of qualitative, the variable called dummy variables is used in the multiple regression method.

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Answer:

90° clockwise

Step-by-step explanation:

90° clockwise rotation I think

An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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The determinant of an image matrix can only be equal to 1 or -1.

If we have an image matrix with the property that images, its determinant can only be equal to 1 or -1.

To understand why, let's first define what we mean by an image matrix. An image matrix is a square matrix A of size n x n, where each entry a_ij is either 0 or 1. We say that A is an image matrix if for every row i and column j, the sum of the entries in that row and column is odd. In other words, the row and column sums of A are all odd.

Now, let's consider the determinant of an image matrix A. The determinant of a matrix is a scalar value that can be calculated from its entries. Without loss of generality, let's assume that the first row of A has an odd sum, since we can always permute the rows and columns of A to achieve this.

We can expand the determinant of A along the first row to obtain:

det(A) = a_11 det(A_11) - a_12 det(A_12) + a_13 det(A_13) - ... + (-1)^(n+1) a_1n det(A_1n)

where A_ij is the matrix obtained by deleting the ith row and jth column of A. Each of the determinants det(A_ij) can be computed recursively using the same formula. Since each entry of A is either 0 or 1, the determinant det(A_ij) is either 0, 1, or -1.

Now, consider the ith term in the expansion of det(A). This term is of the form a_i1 det(A_i1), where a_i1 is either 0 or 1. Since the sum of the entries in the first row of A is odd, we know that there are an odd number of entries in that row that are equal to 1. Let k be the number of such entries. Then, det(A_i1) is the determinant of a (n-1) x (n-1) matrix in which each row and column sum is even, since we have deleted one row and one column that contained a 1. Therefore, det(A_i1) is either 1 or -1, since the determinant of a matrix with even row and column sums is always a square.

If k is odd, then the term a_i1 det(A_i1) is equal to either 1 or -1, depending on the value of a_i1. If k is even, then the term a_i1 det(A_i1) is equal to 0. Therefore, we have:

det(A) = ± 1

since the sum of an odd number of odd terms is odd, and the sum of an even number of odd terms is even (i.e., equal to 0 or ±2). Thus, the determinant of an image matrix can only be equal to 1 or -1.

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The probability that both Event A (the first die is 4 or less) and Event B (the second die is even) will occur is 1/3.

To find the probability that both Event A and Event B will occur, we need to calculate the individual probabilities of each event and then multiply them together.

Event A: The first die is 4 or less.

There are 6 possible outcomes for the first die (numbers 1 to 6), and out of those, 4 outcomes (numbers 1, 2, 3, and 4) satisfy the condition. Therefore, the probability of Event A is 4/6, which simplifies to 2/3.

Event B: The second die is even.

For a fair six-sided die, there are 3 even numbers (2, 4, and 6) out of a total of 6 possible outcomes. Therefore, the probability of Event B is 3/6, which simplifies to 1/2.

To find the probability that both events will occur, we multiply the probabilities of Event A and Event B:

Probability of both events occurring = Probability of Event A * Probability of Event B

P = (2/3) * (1/2)

P = 2/6

P = 1/3

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Answer:

it's the third one, x is greater than or equal to 25

The glide reflection that maps ABC to A'B'C' is given as follows:

The glide reflection is a combination of a reflection with a translation.

The line of reflection passes through the midpoint of a pair of vertices, being perpendicular to the vertex.

The midpoint of segment A'B' is given as follows:

The slope of this segment is given as follows:

m = (-6 - (-2))/(6 - 4) = -1.

Then the slope of the reflection line is of:

m = 1.

(as the reflection line is perpendicular to the segment, meaning that the multiplication of their slopes is of -1).

Then:

y = x + b.

When x = 5, y = -4, then the intercept b is calculated as follows:

-4 = 5 + b

b = -9.

Thus the reflection line is of:

y = x - 9.

Then the translation is given subtracting the coordinates of one of the vertices, as follows:

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The cost of direct labor per unit is $5.628 per apple.

To calculate the cost of direct labor per unit, we need to determine the total labor hours required to produce one unit of output and then multiply it by the wage rate.

Let's denote the labor hours required for the first resource as "L₁" and the labor hours required for the second resource as "L₂".

The first resource has a capacity of 2.1 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the first resource per unit of output are:

L₁ = 1 apple / (2.1 apples/hour) = 0.4762 hours/apple (rounded to 4 decimal places)

The second resource has a capacity of 4.4 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the second resource per unit of output are:

L₂ = 1 apple / (4.4 apples/hour) = 0.2273 hours/apple (rounded to 4 decimal places)

Now, let's calculate the total labor hours required per unit:

Total labor hours per unit = L₁ (first resource) + L₂ (second resource)

= 0.4762 hours/apple + 0.2273 hours/apple

= 0.7035 hours/apple (rounded to 4 decimal places)

Finally, to calculate the cost of direct labor per unit, we multiply the total labor hours per unit by the wage rate:

Cost of direct labor per unit = Total labor hours per unit * Wage rate

= 0.7035 hours/apple * $8/hour

= $5.628 per apple (rounded to 3 decimal places)

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The equation representing the minimum and maximum number of fishes which would fit into the tank is : 5 ≤ x ≤ 9

From the table given ;

To represent the maximum and minimum number of fish that will fit into the tank;

We could use an inequality expression to represent these range :

Let x represent the Number of fishes that would fit into the tank :

Therefore, the equation can be written thus :

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Answer:

Below.

Step-by-step explanation:

h = 112 degrees  (opposite angles are equal).

t = h = 112 degrees (corresponding angles are equal).

Answer:

30<x+8 and 22<x

Step-by-step explanation:

subtract 8 from 30 to get 22

Answer

30<x+8 and 22<x

Therefore, x=7.

Answer:

1 and 7

2 and 8

Step-by-step explanation:

consecutive exterior angles theorem- a theorem stating that if parallel lines are cut by a transversal line, then consecutive exterior angles are supplementary. Like 1 and 7(they are both exterior angles); these angles are both right angles, so added together would make them a pair of supplementary angles.

supplementary angles- a pair of angles that add up to 180 degrees when added together.

I hope this helps

The baker's percentage of water in the bread dough formula is 66.67%.

Given water is 32 fluid ounces

Flour is 48 ounces

Now convert the fluid ounces of water to weight ounces.

The conversion factor is different for each ingredient, as the density varies.

For water, 1 fluid ounce is equal to 1 ounce in weight.

So, 32 fluid ounces of water is equal to 32 ounces in weight.

Now calculate the baker's percentage of water:

Baker's Percentage of Water = (Weight of Water / Weight of Flour) × 100

Baker's Percentage of Water = (32 ounces / 48 ounces)  ×  100

Baker's Percentage of Water = (2/3)  ×  100

Baker's Percentage of Water = 66.67%

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