what is 2c+2=8 ?

Thanks for your help if you put the answer lol

gawd daym that's a lot of students  

Answer:

A: There are 30 students in the class.

B: The average age of the class is 31.5.

C: The range goes from age 28 to age 36.

D: The modal age is 30.

Step-by-step explanation:

A: 8+10+5+7 = 30.

B: 8 + 30 + 32 + 36 = 126

    126/4 = 31.5

C: Lowest age is 28 and highest is 36, making that the range for students' ages.

D: The most frequently appearing age in the study is 30, which makes 30 the modal age.

Answer:

The missing values are \(A = \frac{1}{4}\), \(B = 1\) and \(C = 4\), respective.

Step-by-step explanation:

We find the values regarding A, B and C by evaluating \(g(x)\) at respective values of \(x\):

\(x = -2\)

\(g(-2) = 4^{-\frac{2}{2} }\)

\(g(-2) = 4^{-1}\)

\(g(-2) = \frac{1}{4}\)

\(A = \frac{1}{4}\)

\(x = 0\)

\(g(0) = 4^{\frac{0}{2} }\)

\(g(0) = 1\)

\(B = 1\)

\(x = 2\)

\(g(2) = 4^{\frac{2}{2} }\)

\(g(2) = 4^{1}\)

\(g(2) = 4\)

\(C = 4\)

Answer:       A=1/4,   B=1,   C=4

Step-by-step explanation:

Correct on edge 2022

Answer:

True

Step-by-step explanation:

When displaying any sort of data, it is important to make the table or chart as easy to understand and read as possible without compromising the data. In this case, it is simpler to understand the pie chart if we use as few slices as possible that still makes sense for displaying the data set.

The total number of bottles of water purchased is 444. Each bottle is divided into 555 equal portions. Now, we need to determine how much of a bottle of water Sarah took, given that she took 111 portions from each bottle.

To find the equation that represents the amount Sarah took, we can use the following steps:

1. Let's assume "x" represents the amount of water in a single portion of the bottle.

2. Since Sarah took 111 portions, the amount of water she took can be calculated as 111 times the amount of water in a single portion, which is 111x.

3. As a result, the equation representing how much of a bottle of water Sarah took is:

\(\[ \text{{Amount Sarah took}} = 111x \]\)

This equation states that the amount Sarah took is equal to 111 times the amount of water in a single portion of the bottle.

\(\[ \text{{Amount Sarah took}} = 111x \]\)

Thus, the equation that represents how much of a bottle of water Sarah took is given by \(\text{{Amount Sarah took}} = 111x$.\)

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Answer:

The answer is A.

Step-by-step explanation:

By labelling the four points on a coordinate grid and connecting them, you will get the shape of a rectangle.

Answer:

A, C, and D

Step-by-step explanation:

The surface area of building with the skyview is found as 331.625 sq. yd.

A solid shape having six square faces is called a cube. Because every square face shares a comparable side length, each face is the same size. A cube has 8 vertices and 12 edges. An intersection of three cube edges is referred to as a vertex.

Total area = TSA of cuboid + CSA of hemisphere - area of circle

Total area = 2(lb + bh + hl) + 2πr² - πr²

Total area = 2(6*10 + 10*6 + 6*6) + 2*3.14*2.5² - 3.14*2.5²

On simplification:

Total area = 331.625

Thus, surface area of the building with the skyview is found as 331.625 sq. yd.

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The range of the function for this situation is the interval [398.25, 400] gallons.

To determine the range of the function f(x) = 400 - 0.35x for the given situation, we need to find the possible values of the amount of water remaining in the pool.

The function f(x) represents the amount of water remaining (in gallons) after x minutes, where x ranges from 0 to 5.

To find the range of the function, we evaluate f(x) for the extreme values of x in the given range (0 to 5).

For x = 0, the initial amount of water remaining:

f(0) = 400 - 0.35(0) = 400 gallons

For x = 5, the amount of water remaining after 5 minutes:

f(5) = 400 - 0.35(5) = 400 - 1.75 = 398.25 gallons

Therefore, the range of the function for this situation is the interval [398.25, 400] gallons.

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Answer:

Simplified Expression a ) 2n^2 + 7n - 5,

Simplified Expression b ) 8n^2 - 11n - 10,

When n = 3 part a ) 34,

When n = 2 part a ) 17,

When n = 3 part b ) 29,

When n = 2 part a ) 0

Step-by-step explanation:

Consider the " simplification " process at hand;

\(a ) (5n^2 + 3n -4) + (-3n^2 + 4n -1),\\5n^2+3n-4-3n^2+4n-1,\\5n^2-3n^2+3n+4n-4-1,\\\\Simplified Expression = 2n^2+7n-5\)

\(b ) (7n^2 - 5n - 2) - (-n^2 + 6n + 8),\\7n^2-5n-2+n^2-6n-8,\\\\Simplified Expression = 8n^2-11n-10\)

For each part ( a and b ) I removed the ( ) and grouped like elements to receive the simplified expression;

Value of each polonomial;

\(a ) 2n^2 + 7n - 5,\\2 * ( 3 )^2 + 7 * ( 3 ) - 5,\\34\\\\2 * ( 2 )^2 + 7 * ( 2 ) - 5\\17\)

\(b ) 8n^2 - 11n - 10,\\8 * ( 3 )^2 - 11 * ( 3 ) - 10,\\29\\\\8 * ( 2 )^2 - 11 * ( 2 ) - 10,\\0\)

Each expression was solved through substitution and algebra.

" Simplified " Solution - See in answer above

* I hope the answer wasn't too confusing, for further information look through my response thoroughly

Step-by-step explanation:

6x-3x=14-5

3x=9

x=9/3

x=3

Step-by-step explanation:

6x + 5 = 3x + 14

6x - 3x = 14 - 5

3x = 9

x = 9/3

x = 3

The percent increase in the interstate highway system from 1960 to now is 381%.

option A.

The percent increase from 16,000 km to 77,000 km is difference between the old value and new value divided by the old value expressed in 100%.

percent increase =  100% x (new value - old value) / old value

percent increase = 100% x  (77,000 - 16,000) / 16,000

percent increase = 100% x 61,000 / 16,000

percent increase = 381.25%

Thus, the percent increase in the interstate highway system from 1960 to now is approximately 381%, which is option A.

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The probability that the sample mean will be between 295 to 305 is  0.99921

Since we are given that the mean is 300  and the standard deviation of  18 and we were given a total of 144 observations.A z-score gives you a thought of how distant from the mean a data point is. A z-score can be put on a normal distribution curve. Z In arrange to utilize a z-score, you wish to know the mean μ additionally the population standard deviation σ.

The formula  we are referring to for calculating the  Zscore is :

Zscore = (x - mean) ÷ σ/√n

At first, let x be = 295, so  the

Zscore = (295 - 300) / (18/12) = - 3.33

The probability for zscore for z<-3.33  is,

=>P(Z< - 3.33) = 0.00039

Similarly for the  second part x  305, Sp

The Zscore will be  (305 - 300) / (18/12) = 3.33

so the probability of z<3.33

=>P(Z< 3.33) = 0.9996

so the probability of mean between the range 295 to 305

P(Z < 3.33) - P(Z < - 3.33)

=0.9996-0.00039

= 0.99921

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The correct rule describing the composition of Transformations is: R0,2 ∘ T0,10 ∘ R0,270°

The rule that describes the composition of transformations mapping rectangle PQRS to P''Q''R''S'', we need to analyze the given coordinates and determine the sequence of transformations.

Let's compare the coordinates of the corresponding points:

P (−3, −5) ↔ P'' (−5, 5)

Q (−2, −5) ↔ Q'' (−5, 4)

R (−2, −1) ↔ R'' (−1, 4)

S (−3, −1) ↔ S'' (−1, 5)

From the comparison, we can observe the following transformations:

1. Translation: The x-coordinate of P'' is obtained by subtracting 2 from the x-coordinate of P. The y-coordinate of P'' is obtained by adding 10 to the y-coordinate of P. This suggests a translation of (−2, 10).

2. Reflection: The x-coordinate of Q'' is obtained by reflecting the x-coordinate of Q across the y-axis. The y-coordinate of Q'' remains the same. This indicates a reflection across the y-axis.

3. Rotation: The coordinates of R'' and S'' are obtained by rotating R and S 270 degrees counterclockwise about the origin (0, 0).

Now, let's determine the composition of transformations:

The sequence of transformations that maps rectangle PQRS to P''Q''R''S'' is as follows:

1. Translation by (−2, 10)

2. Reflection across the y-axis

3. Rotation of 270 degrees counterclockwise about the origin

Therefore, the correct rule describing the composition of transformations is:R0,2 ∘ T0,10 ∘ R0,270°

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To determine the function equation that represents this situation, we need to use the given information about the number of members in each group and the per-member cost for the meeting room. We can use a linear equation of the form y = mx + b, where y is the total cost, x is the number of members, m is the cost per member, and b is the fixed cost of renting the meeting room.

Using the given data, we can calculate the values of m and b as follows:

For the first group with 10 members and a per-member cost of $6, the total cost is y = 6x + b. Since we don't know the value of b, we can use the information about the other groups to determine it.

For the second group with 15 members and a per-member cost of $4, the total cost is y = 4x + b. We can now set these two equations equal to each other and solve for b:

6x + b = 4x + b
2x = 0
x = 0

This tells us that the two groups had the same total cost, so we can set them equal to each other:

6x + b = 4x + b
2x = 0
x = 0

We can repeat this process for the other groups and obtain the following equations:

y = 6x + 60 (for the first group)
y = 4x + 60 (for the second group)
y = 3x + 60 (for the third group)
y = 2x + 60 (for the fourth group)

Therefore, the function equation that represents this situation is y = mx + b, where m represents the per-member cost and b represents the fixed cost of renting the meeting room.

The function equation that represents this situation is y = mx + b, where y is the total cost, x is the number of members, m is the cost per member, and b is the fixed cost of renting the meeting room. Using the given data, we can calculate the values of m and b for each group and obtain the equations y = 6x + 60, y = 4x + 60, y = 3x + 60, and y = 2x + 60.

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The solution to the given initial value problem, obtained using Laplace transforms, is y(x) = 0. This means that the function y(x) is identically zero for all values of x.

To find the solution of the initial value problem using Laplace transforms for the equation d²y/dx² + 9y = 9sin(t)u(t - 3), where y(0) = y'(0) = 0, we can follow these steps:

Take the Laplace transform of the given differential equation.

Applying the Laplace transform to the equation d²y/dx² + 9y = 9sin(t)u(t - 3), we get:

s²Y(s) - sy(0) - y'(0) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Since y(0) = 0 and y'(0) = 0, the Laplace transform simplifies to:

s²Y(s) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Solve for Y(s).

Combining like terms, we have:

Y(s) * (s² + 9) = 9 * (1/s² + 1/(s² + 1))

Multiply through by (s² + 1)(s² + 9) to get rid of the denominators:

Y(s) * (s⁴ + 10s² + 9) = 9 * (s² + 1)

Simplifying further, we have:

Y(s) * (s⁴ + 10s² + 9) = 9s² + 9

Divide both sides by (s⁴ + 10s² + 9) to solve for Y(s):

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9)

Partial fraction decomposition.

To proceed, we need to decompose the right side of the equation using partial fraction decomposition:

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9) = A/(s² + 1) + B/(s² + 9)

Multiplying through by (s⁴ + 10s² + 9), we have:

9s² + 9 = A(s² + 9) + B(s² + 1)

Equating the coefficients of like powers of s, we get:

9 = 9A + B

0 = A + B

Solving these equations, we find:

A = 0

B = 0

Therefore, the decomposition becomes:

Y(s) = 0/(s² + 1) + 0/(s² + 9)

Inverse Laplace transform.

Taking the inverse Laplace transform of the decomposed terms, we find:

L^(-1){Y(s)} = L^(-1){0/(s² + 1)} + L^(-1){0/(s² + 9)}

The inverse Laplace transform of 0/(s² + 1) is 0.

The inverse Laplace transform of 0/(s² + 9) is 0.

Combining these terms, we have:

Y(x) = 0 + 0

Therefore, the solution to the initial value problem is:

y(x) = 0

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Answer:

4

Step-by-step explanation:

78

Answer: it’s b

Step-by-step explanation:

Trust me

The total revenue from adult ticket sales (10a) must be greater than or equal to $1200.

Let's represent the number of student tickets sold as 's' and the number of adult tickets sold as 'a'.

The revenue from student ticket sales can be calculated as 7.50s, and the revenue from adult ticket sales can be calculated as 10a.

To satisfy the constraint that the drama club must make no less than $1200, we can write the following inequality:

7.50s + 10a ≥ 1200

This inequality states that the total revenue from student ticket sales (7.50s) plus the total revenue from adult ticket sales (10a) must be greater than or equal to $1200.

This inequality ensures that the ticket sales generate enough revenue to cover the show's costs. The drama club needs to sell enough tickets, both student and adult, to meet or exceed the minimum revenue requirement of $1200.

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The expectation of S², denoted as E(S²), can be calculated using the formula E(S²) = σ², where σ² represents the population variance.

In the given formula, S² represents the sample variance, x₁ represents an individual observation, x represents the sample mean, and n represents the sample size. The formula for S² is based on the sample variance calculation, which measures the dispersion or spread of a dataset.

The expectation of S², denoted as E(S²), is equal to the population variance, σ². The population variance represents the average squared deviation of the population values from the population mean.

Since the formula states that S² = σ² when the sample size is 1, the expectation of S² in this case is equal to σ².

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After  solving the equation 5(X - C)  = D , for the given matrices , we get , the unknown matrix X is = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\) .

In the question ,

it is given that , the matrices are

A = \(\left[\begin{array}{ccc}7&3\\4&3\end{array}\right]\)   B = \(\left[\begin{array}{ccc}7&2\\7&2\end{array}\right]\)   C = \(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\)   and D = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) .

and the equation is given as 5(X - C)  = D ,

and we have to find the value of unknown matrix X .

let the matrix X be = \(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\)

Substituting , the given matrices A , B , C and D in the equation 5(X - C)  = D ,

we get ,

5(X - C)  = D ,

5X - 5C = D ,

5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) - 5\(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\) = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\)

5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) - \(\left[\begin{array}{ccc}15&15\\20&0\\0&40\end{array}\right]\)

Simplifying further ,

we get ,

5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}25&45\\50&30\\30&40\end{array}\right]\)

Dividing both sides by 5 ,

we get ,

X = \(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\)

Therefore , the matrix X is = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\) .

The given question is incomplete , the complete question is

Solve the matrix equation for the unknown matrix X.

A = \(\left[\begin{array}{ccc}7&3\\4&3\end{array}\right]\)   B = \(\left[\begin{array}{ccc}7&2\\7&2\end{array}\right]\)   C = \(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\)   and D = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) . the equation is

5(X - C)  = D .

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Answer:

100,000 m²

Step-by-step explanation:

the area = l x w = 1000 x 100 = 100,000 m²

Answer:

What is 35% off 65 Dollars An item that costs $65, when discounted 35 percent, will cost $42.25 The easiest way of calculating discount is, in this case, to multiply the normal price $65 by 35 then divide it by one hundred. So, the discount is equal to $22.75.

Answer:

the answer is in the picture

Therefore, The probability of event E is 14/19. In decimal form, without rounding, the answer is approximately 0.7368

The probability of event E can be determined by using the odds ratio formula: P(E) = odds in favor of E / (odds in favor of E + odds against E). Plugging in the given values, we get P(E) = 14 / (14 + 5) = 0.7368 or 0.7368.
To determine the probability of event E given the odds in favor of E are 14 to 5, we will follow these steps:
1. Understand the concept of odds in favor: The odds in favor of an event are the ratio of the number of successful outcomes to the number of unsuccessful outcomes.
2. Convert the odds to probability: To find the probability, we will use the formula P(E) = odds in favor of E / (odds in favor of E + odds against E).
Now, let's apply the formula:
P(E) = 14 / (14 + 5)
P(E) = 14 / 19

Therefore, The probability of event E is 14/19. In decimal form, without rounding, the answer is approximately 0.7368.

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To summarize the 'JobEngagement' variable, we can create a graph and tables. The key features can be described in a paragraph. Additionally, we need to determine, whether it is the mode, median, or mean.

To summarize the 'JobEngagement' variable, we can start by creating a histogram or bar graph that displays the frequency or count of each engagement score on the x-axis and the number of employees on the y-axis. This graph will provide an overview of the distribution of job engagement scores and any patterns or trends in the data.

In addition to the graph, we can create a table that presents summary statistics for the 'JobEngagement' variable. This table should include measures of central tendency (mean, median, and mode), measures of dispersion (range, standard deviation), and any other relevant statistics such as minimum and maximum values.

Analyzing the key features of the data observed in the output, we should pay attention to the shape of the distribution. If the distribution is approximately symmetric, the mean would be an appropriate measure of central tendency. However, if the distribution is skewed or contains outliers, the median may be a better measure since it is less influenced by extreme values. The mode can also provide insights into the most common level of job engagement.

Therefore, to determine the most appropriate measure of central tendency for the 'JobEngagement' variable, we need to assess the shape of the distribution and consider the presence of outliers. If the distribution is roughly symmetrical without significant outliers, the mean would be suitable. However, if the distribution is skewed or has outliers, the median should be used as it is more robust to extreme values. Additionally, the mode can provide information about the most prevalent level of job engagement.

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Consider a circle with diameter AB, and let C be a point on AB such that 2 * AC < BC. To prove that angle ABC is acute, we can use the fact that the longest side of a triangle is opposite the largest angle. By comparing the lengths of sides AB and BC, we can determine the relationship between angle ABC and its complement, angle ACB.

Since AC is shorter than BC (2 * AC < BC), we know that side BC is longer than side AC. According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, AC + BC is greater than AB.

Using the fact that the longest side of a triangle is opposite the largest angle, we can infer that angle ABC is larger than angle ACB. Since angle ACB is a right angle (as it is formed by the diameter AB and a chord), angle ABC must be acute because it is larger than the right angle ACB.

Therefore, we can conclude that angle ABC is acute based on the given conditions. The proof relies on the triangle inequality theorem and the properties of angles formed by a diameter and a chord in a circle.

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using exponents, On simplifying the equation, we get =4m+8.

The PEMDAS order of operations must be followed when you want to simplify a mathematical equation without using parenthesis (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). There are no parenthesis in the expression, so you may start looking for exponents. If it does, first make that simpler.

Work simplification is to develop better work processes that boost output while cutting waste and costs.

Simplifying an expression is the same as solving a mathematical issue. When you simplify an equation, you essentially try to write it as simply as you can. There shouldn't be any more multiplication, dividing, adding, or deleting to be done when the process is finished.

Given equation,

m-(8-3m)

=m-8+3m

=4m+8

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The work required to pump the water out of the tank is approximately 493,000 J.

To find the work required to pump the water out of the tank, we need to calculate the potential energy of the water. The potential energy is given by the formula:

PE = m * g * h

Where:

m is the mass of the water,

g is the acceleration due to gravity,

h is the height or depth of the water.

First, we need to find the mass of the water. The volume of the tank can be calculated using the formula for the volume of a cylinder:

V = π \(* r^2 * h\)

Given that the radius (r) is 2m and the height (h) is 2m, we can calculate the volume (V):

V = π\(* (2^2) * 2\)

= 8π m³

The density of water (d) is given as 1000 kg/m³. Therefore, the mass (m) of the water is:

m = d * V

= 1000 kg/m³ * 8π m³

≈ 25133 kg

The acceleration due to gravity (g) is approximately 9.8 m/s².

Now, we can calculate the potential energy (PE) of the water:

PE = m * g * h

= 25133 kg * 9.8 m/s² * 2 m

≈ 492,987 J

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The length and height of the box with a volume of 70 cubic feet to reduce construction costs is 8.572 and 3.81.

Given that,

The base of an open box must be built with the length of the base being four times more than the width of the base. If building the base costs two dollars per square foot and building the four sides costs one dollar per square foot.

We have to identify the dimensions of a box with a volume of 70 cubic feet to reduce construction costs.

We know that,

The volume =70 cubic feet

L=4w    ------>equation(1)

Volume= l×w×h

70=4w×w×h

h=70/4w²     ------>equation(2)

The construction cost is

C= 4(lw)+2(wh)+2(hl)

C=4(4w×w)+2(w×70/4w²)+2(4w×70/4w²)

C=4(4w²)+2(70/4w)+2(70/w)

C=16w²+70/2w+140/w

Now,

To determine the minimum cost,

dC/dw

16w-70/4w²-140/w²=0

16w³=1/w²(70/4+140)

16w³=1/w²(315/2)

16w³=315/2

w³=315/32

w=2.143

From equation(1)

L=4w=4×2.143=8.572

H=70/4w²=70/4(2.143)²=3.81

Therefore, The length and height of the box with a volume of 70 cubic feet to reduce construction costs is 8.572 and 3.81.

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An equation representing the area Bruce covered y in terms of the number of tiles he used x will be y = 4x.

The complete question is attached in the image below

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

If each tile is ¼ of a square foot then y (in terms of square feet) will be equal to x / 4 meaning that the equation would be y = 4x.

As we can see the value of y increases by 4 times for the value of x in the given table.

Therefore the  equation representing the area Bruce covered y in terms of the number of tiles he used x will be y = 4x

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