At a football game, 69 out of 92 students were wearing the color red to support the home team. What percent of the students were wearing red?

A.
69%
B.
88%
C.
65%
D.
75%

the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

To find the set difference C - A, we need to remove all elements from A that are also present in C. Let's examine the sets:

C = {0, 6, 12, 18}

A = {2, 4, 6, 8, 10, 12}

We compare each element of A with the elements of C. If an element from A is found in C, we exclude it from the result. After the comparison, we find that the elements 2, 4, 8, 10 are not present in C.

Thus, the set difference C - A is {0, 18}, as these are the elements that remain in C after removing the common elements with A.

Therefore, the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

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Answer:

5/9

Step-by-step explanation:

brainliest when possible.

ANSWER

28.285 units

EXPLANATION

We are given the square EFGH and we need to find the perimeter.

The perimeter of a square is given as:

P = 4 * L

P = 4L

where L = length of the side of the square

To find the length of the side of the square, we have to find the distance between a pair of adjacent vertices of the square.

Let us pick E(0, 5) and F(5, 0).

The distance between the two points is:

where (x1, y1) = (0, 5)

(x2, y2) = (5, 0)

Therefore, the length of the square (distance between the two points) is:

Therefore, the perimeter of the square is:

P = 4 * 7.071

P = 28.284 units

Answer:21

Step-by-step explanation:

21

Step-by-step explanation:

these are multiplications.

you could also write

4 + 5×(p - 1)

now, we need to calculate the contents of brackets (if we can), then do the multiplications and divisions, before we can do the then remaining additions and subtractions.

if we cannot do a calculation directly (because there is a variable involved), we need to do and document the single steps for the individual parts involved.

so,

4 + 5×(p - 1) = 4 + 5×p + 5×-1 = 4 + 5p - 5 = 5p - 1

remember, a multiplication of 2 expressions is done by multiplying every term of one expression with every term of the other expression and adding the results up (by considering their individual signs, of course).

we have two cases when n is even or odd and; For n = 1, (-4)3 = -64For n = 2, (-4)5 = 1,024For n = 3, (-4)7 = -16,384Hence, the series (-4)2n +1 is not convergent for all values of n. Therefore, the series diverges.

a) To determine whether the following series converges or diverges absolutely;4n! = 4*3*2*1*4*5*6*7*8*9*....n Terms up to n=5, 4n! = 4*3*2*1*4*5 = 480And for n = 6, 4n! = 4*3*2*1*4*5*6 = 2,880And for n = 7, 4n! = 4*3*2*1*4*5*6*7 = 20,160Hence, we observe that the factorials grow rapidly which means that the terms get larger and larger. And, as we already know that the series diverges, the series 4n! also diverges. b) To determine whether the following series converges or diverges absolutely;(-4)2n +1 = (-1)^(2n + 1) * 4^(n+1)Which can be expressed as;(-1)^(2n + 1) = -1*1*-1*1*-1*1*....So,

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Answer:

About 400 more children attend Troy’s school than Nada’s school.

Answer:

x ≈ 19.7

Step-by-step explanation:

Using the sine ratio in the right triangle.

sin66° = \(\frac{opposite}{hypotenuse}\) = \(\frac{18}{x}\) ( multiply both sides by x )

x × sin66° = 18 ( divide both sides by sin66° )

x = \(\frac{18}{sin66}\) ≈ 19.7 ( to the nearest tenth )

No, we cannot measure 3 gallons of water using 2 jugs of size 100 and 98 gallons. But, we can measure 4 gallons of water using these jugs.

Let's call the two jugs A and B, with A being the 100-gallon jug and B being the 98-gallon jug.

To measure 3 gallons of water, we need to have one jug that is smaller than 3 gallons and another jug that is larger than 3 gallons.

However, both of these jugs are larger than 3 gallons.

This means that it is impossible to measure 3 gallons of water using these jugs.

To measure 4 gallons of water, we can follow these steps:

Fill jug A to the top with water.

Pour the water from jug A into jug B until jug B is full.

This will leave 2 gallons of water in jug A.

Pour the water from jug B down the drain, then pour the 2 gallons from jug A into jug B.

Fill jug A to the top with water.

Pour the water from jug A into jug B until jug B is full.

This will leave 96 gallons of water in jug B, with 4 gallons of water in jug A.

Thus, we can measure 4 gallons of water using these jugs.

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The maximum power produced by a power plant with a water fall of 30 m and a flow rate of 10,000 kg/s is 29,430,000 W or 29.4 MW (megawatts).

Hydroelectric power plants use water as a source of energy to produce electricity. This energy is produced by the gravitational force of falling water. A water fall of 30m with a flow rate of 10,000 kg/s is a considerable force that can be harnessed to produce electricity. Here is how to calculate the maximum power produced by a power plant with these parameters:

To calculate the maximum power produced by a hydroelectric power plant, we use the formula:

P = x g x Q x H

Where:
P = Power
= Density of water
g = Acceleration due to gravity
Q = Flow rate
H = Head

Given that:
Head = 30m
Flow rate = 10,000 kg/s

The density of water is 1000 kg/m³, and the acceleration due to gravity is 9.81 m/s². We can substitute these values into the formula and calculate the power:

P = x g x Q x H
P = 1000 kg/m³ x 9.81 m/s² x 10,000 kg/s x 30 m
P = 29,430,000 W

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The percentage increase in the diameter of the drain pipe necessary to enable it to carry 60 litres per second is  28.87%.

Given that the carrying capacity is directly proportional to the area, we can write:

C1 ∝ A1 = πr₁²

Since the carrying capacity is directly proportional to the area, we have:

C2 ∝ A2 = πr₂²

To find the percentage increase in diameter, we need to find the ratio of the increased area to the initial area and then express it as a percentage. Let's calculate this ratio:

(A2 - A1) / A1 = (πr₂² - πr₁²) / (πr₁²) = (r₂² - r₁²) / r₁²

We can also express the ratio of the increased carrying capacity to the initial carrying capacity:

(C2 - C1) / C1 = (60 - 36) / 36 = 24 / 36 = 2 / 3

Since the area and the carrying capacity are directly proportional, the ratios should be equal:

(r₂² - r₁²) / r₁² = 2 / 3

Now, let's substitute r = D/2 in the equation:

((D₂/2)² - (D₁/2)²) / (D₁/2)² = 2 / 3

(D₂² - D₁²) / D₁² = 2 / 3

Cross-multiplying:

3(D₂² - D₁²) = 2D₁²

3D₂² - 3D₁² = 2D₁²

3D₂² = 5D₁²

Dividing by D₁²:

3(D₂² / D₁²) = 5

(D₂² / D₁²) = 5 / 3

Taking the square root of both sides:

D₂ / D₁ = √(5/3)

To find the percentage increase in diameter, we subtract 1 from the ratio and express it as a percentage:

Percentage increase = (D₂ / D₁ - 1) × 100

Percentage increase = (√(5/3) - 1) × 100

Percentage increase = 28.87%

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In rectangle , The width is 8 and the length is 37.

What is a rectangle ?

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral.

                              The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.

90 = 2(x + 5 + 4x)

90 = 2(5x + 5)

90 = 10x + 10

80 = 10x

x = 8

So the width is 8 and the length is 37.

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The complete question is -

The length of a rectangle is five inches more than four times it’s width. If the perimeter is 90 inches, find its dimensions

Answer:

f = -15

Step-by-step explanation:

f/3 + 22 = 17

Subtract 22 from each side

f/3 + 22-22 = 17-22

f/3 = -5

Multiply each side by 3

f/3 * 3 = -5*3

f = -15

The equation of the (g • h)(n) is (g • h)(n) = -4n³ - 8n² - 24n - 20 if the g(n)=-4n- 4 and h(n)=n² +5+n.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

g(n) = -4n - 4

h(n) =  n² +5+n

(g • h)(n) = g(n)h(n)

= (-4n - 4)(n² +5+n)

= -(4n + 4)(n² +5+n)

After simplification:

(g • h)(n) = -4n³ - 8n² - 24n - 20

Thus, the equation of the (g • h)(n) is (g • h)(n) = -4n³ - 8n² - 24n - 20 if the g(n)=-4n- 4 and h(n)=n² +5+n.

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Answer:

Range

Step-by-step explanation:

Range is found by subtracting the highest and lowest point in the dataset

Mode is the number that occurs most frequently in the set

Median is the central number in the dataset when arranged from lowest to highest

Mean is the sum of all the numbers in the dataset divided by how many numbers there are.

For example, take this list of numbers: 10, 10, 20, 40, 70.

The mean (also known as average) is found by: 10 + 10 + 20 + 40 + 70 / 5 = 30.

The median is found by ordering the set from lowest to highest and finding the exact middle. The median is just the middle number: 20.

Answer: Length = 17 ft

Concept:

Here, we need to know how to find the perimeter of a rectangle.

Perimeter (rectangle) = 2 (l + w)

l = length

w = width

If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.

Solve:

**Disclaimer** I assume that the length is [3 feet longer than twice its width] because a [yard] would not use length to measure it. If it was, then you may refer to my answer. If it was not, then you may tell me and I will redo it.

Let x be the width

Let 2x + 3 be the length

Given information

Perimeter = 48 ft

width = x

length = 2x + 3

Given expression deducted from the question

Perimeter = 2 (l + w)

Substitute values into the expression

48 = 2 (2x + 3 + x)

Combine like terms in the parentheses

48 = 2 (2x + x + 3)

48 = 2 (3x + 3)

Expand parentheses and apply the distributive property

48 = 2 · 3x + 2 · 3

48 = 6x + 6

Subtract 6 on both sides

48 - 6 = 6x + 6 - 6

42 = 6x

Divide 6 on both sides

42 / 6 = 6x / 6

x = 7

Find the value of length

Length = 2x + 3 = 2(7) + 3 = 14 + 3 = \(\boxed{17}\)

Hope this helps!! :)

Please let me know if you have any questions

The equation of the tangent line to the parabola at the point (1,5) is y = 4x + 1.

To find the slope of the tangent line to the parabola at the point (1,5), we need to find the derivative of the equation y = 6x - x² and evaluate it at x = 1.

Taking the derivative of y with respect to x:

dy/dx = d(6x - x²)/dx

= 6 - 2x

Now, we can substitute x = 1 into the derivative to find the slope at that point:

slope = 6 - 2(1)

= 6 - 2

= 4

So, the slope of the tangent line to the parabola at the point (1,5) is 4.

To find the equation of the tangent line, we need to use the point-slope form of a line.

The equation is given by:

y - y₁ = m(x - x₁)

Substituting the values we have:

y - 5 = 4(x - 1)

Expanding and simplifying:

y - 5 = 4x - 4

Moving the constant term to the other side:

y = 4x + 1

Therefore, the equation of the tangent line to the parabola at the point (1,5) is y = 4x + 1.

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Complete question =

Find the slope of the tangent line to the parabola at the point (1,5). y = 6x-x². find an equation of the tangent line.

Each side of cube is 100 cm.

In Maths or in Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges. It is also said to be a regular hexahedron.

Given that,

Volume of cube = 1 cubic meter

We know that,

1 m = 100 cm

Also  volume of cube = \(a^{3}\)

Then,

Volume of cube = 1000000 cm

                   \(a^{3}\)  = \(100^{3}\)

                   a = 100 cm

Hence, Each side of cube is 100 cm.

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Answer: 3

Step-by-step explanation:

Scale factor is the ratio of the corresponding sides, so:

\(\frac{18}{6}=3\)

A function that represents this situation of selling 3 duct tape wallet per day out of of 160 duct tapes wallets produced is

Information from the problem

You have made 160 duct tape wallets to sell

If you sell 3 each day

From the information we can deduce that

assuming amount left is y and the number of days x the  we have

y = 160 - 3x

Therefore we can say that the expression to represent the situation of selling 3 duct tape wallet per day is  y = 160 - 3x

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The Spearman rank-order correlation coefficient is a measure of the direction and strength of the linear relationship between two ordinal variables.

Spearman's rank-order correlation is used when two variables are measured on an ordinal scale.

What is the Spearman Rank-Order Correlation Coefficient?

The Spearman Rank-Order Correlation Coefficient is a non-parametric statistical measure that estimates the relationship between two variables using ordinal data.

It evaluates the strength and direction of a relationship between two variables by rank-ordering the data.

The Spearman correlation coefficient, named after Charles Spearman, calculates the association between two variables' rankings.

The correlation coefficient ranges from -1 to +1. A value of +1 indicates that there is a perfect positive relationship between the variables, whereas a value of -1 indicates that there is a perfect negative relationship between the variables.

In contrast, a value of 0 indicates that there is no correlation between the variables.

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Answer:

Step-by-step explanation:

A fisherman is standing on the left bank of a stream that is 115 ft wide. The angle of depression from the edge where he stands to the bottom of the stream on the opposite edge is 52˚. How deep is the river at this point? (round to nearest foot).

The missing two consecutive digits are 11 and 12, according to the inequality rules: 11 < √134 < 12

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.

The majority of the time, size comparisons between two numbers on the number line are made.

When addressing inequality, we can: Equal numbers are added on both sides.

Take the same amount away from both sides.

Add the same positive number to both sides.

So, we must discover two consecutive numbers, x and (x + 1), that are such that:

x² < 134

134 < (x + 1)²

Starting with the bottom bound, 11 is a decent choice because it is close to 134 when squared but lower.

11*11 = 121 < 134

Then we can use x = 11

We will then obtain (x + 1) = 11 + 1 = 12.

And:

12*12 = 144 > 134.

Following that, we discovered our two consecutive numbers:

11² < 134 < 12²

When we take the square root of the three sides, we obtain:

√(11²) < √134 < √(12²)

11 < √134 < 12

Therefore, the missing two consecutive digits are 11 and 12, according to the inequality rules: 11 < √134 < 12

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Correct question:

Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality ____ < √134 < ____

There are 55 ways to form a train consisting of tank cars, boxcars, and flatcars by using concept of combinations.

If there are t tank cars, b boxcars, and f flatcars in the train yard, then the number of ways to form a train by selecting some of these cars is the same as the number of ways to distribute n = t + b + f identical objects into three distinct boxes, such that each box may receive any number of objects (including zero). The solution is given by the combination formula:

C(n + k - 1, k - 1)

where k is the number of boxes (in this case, k = 3). Therefore, the number of ways to form a train from t tank cars, b boxcars, and f flatcars is:

C(t + b + f + 3 - 1, 3 - 1) = C(t + b + f + 2, 2) = (t + b + f + 2)! / ((t + b + f)! * 2!)

There are 4 tank cars, 3 boxcars, and 2 flatcars in the train yard, then the number of ways to form a train is:

C(4 + 3 + 2 + 2, 2) = C(11, 2) = 55

Therefore, there are 55 ways to form a train consisting of tank cars, boxcars, and flatcars

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9514 1404 393

Answer:

  y = 2x +5

Step-by-step explanation:

"Gradient" is another word for "slope." The given point (with x-coordinate equal to zero) is the y-intercept. So, it is easy to write the equation in slope-intercept form:

  y = mx + b . . . . . . line with slope m and y-intercept b

  y = 2x + 5

Answer:

\(m = \frac{ - 5 - 1}{2 - ( - 3)} = - \frac{6}{5} \)

If we pick 23 fruits at random, then 7% of the time, their mean weight will be greater than 210.8 grams.

To solve this problem, we need to use the Central Limit Theorem, which states that the sampling distribution of the means of a random sample from any population will be approximately normally distributed if the sample size is large enough.

In this case, since we are picking 23 fruits at random, we can assume that the sampling distribution of the mean weight of the fruits will be approximately normal with a mean of 204 grams and a standard deviation of 16/sqrt(23) grams.

To find the weight of the fruits such that their mean weight will be greater than a certain amount 7% of the time, we need to find the z-score associated with that probability using a standard normal distribution table. The z-score can be calculated as:

z = invNorm(0.93) = 1.475

where invNorm is the inverse normal function. This means that the weight of the fruits such that their mean weight will be greater than this amount 7% of the time is:

x = 204 + 1.475*(16/sqrt(23)) = 210.8 grams (rounded to one decimal place)

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Step-by-step explanation:

I am not fully sure what your teacher is aiming for. it friends very much on what you were just discussing in class (which I don't know).

but the first thing coming to mind is a minus sign ("-"). squaring a negative number removed the minus and makes the result equal to squaring the same positive number.

just for the undoing the 1/2 :

that is, because a fraction as exponent specifies in its denominator the root to be calculated for the basic value or expression.

so, 1/2 means square root. and yes, square is the inverse function of a square root, and it "undoes" the square root.

in exponent calculation it just means that for exponent 1 to the power of exponent 2 we simply multiply both exponents. and so, 1/2 × 2 = 1

FYI - the numerator still represents an original "to the power of" operation.

so, e.g. 3/2 would mean put the basis to the power of 3 and then do the square root of that result. or the other way around. these operations are commutative (the sequence does not matter).