Pls help im in the test i’ll give 50 points

Answer:

Step-by-step explanation:

Total hours:

x=5

Step-by-step explanation:

x-2=3(x-4)

x-2=3x-12

12-2=3x-x

10=2x

x=10/2

x=5

Answer:

x = 5

Step-by-step explanation:

x - 2 = 3(x - 4)

x - 2 = 3x - 12

-2x - 2 = -12

-2x = -10

x = 5

The converted to product four times as much in the CSTR than it was in the PFR that is 400%.

Conversion is a term used to describe the process of transferring a reactant into a product.

In this case, the reactant is being transferred from a 72 l plug flow reactor (PFR) to a 24 l continuous stirred tank reactor (CSTR). The conversion achieved by this process can be determined by calculating the ratio of product to reactant in the CSTR.

Specifically, if the PFR has a conversion of x%, then the conversion achieved in the CSTR will be x/(1-x), where x is the conversion in the PFR.

Therefore, if the PFR has a conversion of 80%, then the CSTR will have a conversion of 80/(1-80) = 400%.

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Answer: 8

Step-by-step explanation:

Answer:

4.5y

Step-by-step explanation:

0.5y + 4y

4.5y

Answer

LINE OF REFLECTION

Step-by-step explanation:

In geometry, reflection basically just means flipping things over a line.

The value of one share today is $18.39.

Annual growth rate for two years is 20% i.e. g = 20% Dividend growth decreases to 8% for the next two years i.e. g1 = 8% and it is 4% thereafter i.e. g2 = 4%Current dividend = $2.

Required rate of return = 15%To calculate the value of one share, we need to use the Gordon Growth Model.D1 = D0 (1+g) Where,D0 = Current dividendg = Annual growth rateD1 = Dividend after one yearD1 = 2(1+20%) = $2.4 (Dividend growth rate of 20%).

For the next year, i.e., year 2, the dividend growth rate will be 20%.D2 = D1 (1+g)D2 = 2.4(1+20%) = $2.88Using the Gordon Growth Model,V0 = (D1) / (k-g)Where,k = Required rate of returng = Growth rateV0 = (2.88) / (15%-20%) = -$57.60

This value is not acceptable, since it is negative. This happened because the growth rate is greater than the required rate of return.

This means the growth rate is unsustainable.In order to solve this issue, we need to use the dividend growth model, where different growth rates can be used for different time periods.

Gordon Growth Model is used to calculate the intrinsic value of a stock based on a future series of dividends that grow at a constant rate.

The value of a share today is calculated based on the future dividends, so it is important to project the future dividends and discount them back to the present value.

So, we will use the dividend growth model for three years and then apply Gordon Growth Model.Value of Dividend at the end of Year 3,D3 = D2 (1+g2)D3 = 2.88 (1+4%) = $2.9984 (8% for two years and 4% for 3rd year).

Value of Dividend at the end of Year 2,D2 = D1 (1+g1)D2 = 2.4 (1+8%) = $2.592 (20% for two years)Value of Dividend at the end of Year 1,D1 = D0 (1+g)D1 = 2 (1+20%) = $2.4 (20% for first year).

Now we can apply the Gordon Growth Model,V3 = D4 / (k-g2)V3 = 2.9984 / (15%-4%) = $26.88Now we need to discount it to the present value,V0 = V3 / (1+k)^nWhere,n = number of yearsV0 = 26.88 / (1+15%)^3V0 = $18.39Hence, the value of one share today is $18.39.

Therefore, the correct option is b) $18.39.

In this question, we are required to calculate the value of one share today with given data.

To calculate the value of one share, we need to use the Gordon Growth Model, which is used to calculate the intrinsic value of a stock based on a future series of dividends that grow at a constant rate.

The annual growth rate for two years is 20% i.e. g = 20%. Dividend growth decreases to 8% for the next two years i.e. g1 = 8% and it is 4% thereafter i.e. g2 = 4%. The current dividend is $2 and the required rate of return is 15%.We first calculated the dividend for year 1, which is $2.4. Using this, we calculated the dividend for year 2, which is $2.88. But, the value of share calculated using the Gordon Growth Model was negative.

This happened because the growth rate was greater than the required rate of return. This means the growth rate was unsustainable.
To solve this, we used the dividend growth model, where different growth rates can be used for different time periods. Using this model, we calculated the value of dividend at the end of year 3, year 2, and year 1.

The value of dividend at the end of year 3 was $2.9984.Using this value, we applied the Gordon Growth Model to calculate the intrinsic value of a share, which is $26.88.

To calculate the present value of this share, we discounted it to the present value using the formula V0 = V3 / (1+k)^n, where n is the number of years.

On substituting the values, we got the value of one share today, which is $18.39. Hence, the correct option is b) $18.39.

Hence, the value of one share today is $18.39.

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The statistic that describes the average distance between the measurements in a frequency distribution and the mean of that distribution is the mean absolute deviation (MAD).

The MAD measures the dispersion or spread of the data points around the mean. It is calculated by taking the absolute value of the differences between each data point and the mean, summing these absolute differences, and dividing by the number of data points.

Unlike the standard deviation, the MAD does not square the differences, making it easier to interpret. The MAD provides a measure of the variability of the data and is useful in comparing the spread of different data sets.

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Answer:

Step-by-step explanation:

y = 2x - 3

Slope of the line perpendicular to this line = -1/2

(4 , 5)

y = mx + b

\(y = \dfrac{-1}{2}x+b\)

Plugin x = 4 and y = 5 in the above equation,

\(5 =\dfrac{-1}{2}*4 + b\\\\5=-2 + b\\\\5 +2 = b\\\\b= 7\)

Equation:

\(y =\dfrac{-1}{2}x+7\)

Answer:

L = 20 inches

Step-by-step explanation:

w = width

L = length

area = 120

W x L = 120

L - 8 = 2W  then L = 2W + 8

substitute for L:

W x (2W + 8) = 120

2W² + 8W -120 = 0

(2W - 12)(W + 10) = 0

2W-12 = 0

2W = 12

W = 6

L = 20

The equatiom formed will be =g(x)=0.2(x+3)^{2}-5.

According to our question-

It is the graph of  vertically compressed, and then translated 5 units down and 3 units to the left.

The parent function is:

First, it is multiplied by 0.2,which is a number less than 1, meaning it was vertically compressed.

Then, , which means that the function was shifted 3 units to the left.

Then, 5 was subtracted, which means that the function was shifted 5 units down.

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Reason:

Plug x = 0 into f(x)

f(x) = -3x-5

f(0) = -3*0-5

f(0) = 0-5

f(0) = -5

This then means,

g(x) = f(x)+9

g(0) = f(0)+9

g(0) = -5+9

g(0) = 4

The y intercept of g(x) is 4; meaning it is located at (0,4).

Answer:

Step-by-step explanation:

For this case we have the following equation:

a = v ^ 2 / r

From here, we must clear the value of speed.

We have then:

v ^ 2 = a * r

v = root (a * r)

Answer:

the formula for the velocity is:

v = root (a * r)

Answer:

v=\(\sqrt{ar}\)

Step-by-step explanation:

The value of the numerical expression (6 + 3)² + [10 - (15/3)] will be 86.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ (6 + 3)² + [10 - (15/3)]

Simplify the expression, then we have

⇒ (6 + 3)² + [10 - (15/3)]

⇒ (9)² + [10 - 5]

⇒ 81 + 5

⇒ 86

The value of the numerical expression (6 + 3)² + [10 - (15/3)] will be 86.

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Adding 10 to every value in the data set does not affect the standard deviation.

Given data set:

X: 40, 30, 45, 35, 25

Calculate the mean (x-bar):

Mean = (40 + 30 + 45 + 35 + 25) / 5 = 175 / 5 = 35

Calculate the deviations from the mean (x - x-bar):

(x - x-bar) = 40 - 35 = 5

(x - x-bar) = 30 - 35 = -5

(x - x-bar) = 45 - 35 = 10

(x - x-bar) = 35 - 35 = 0

(x - x-bar) = 25 - 35 = -10

Square the deviations [(x - x-bar)²]:

(x - x-bar) = 5² = 25

(x - x-bar)² = (-5)² = 25

(x - x-bar)² = 10² = 100

(x - x-bar)² = 0² = 0

(x - x-bar)² = (-10)² = 100

Calculate the sum of the squared deviations:

Sum of (x - x-bar)² = 25 + 25 + 100 + 0 + 100 = 250

Now, Variance = (Sum of (x - x-bar)²) / (n - 1) = 250 / 4 = 62.5

Standard Deviation = √Variance = √62.5 ≈ 7.91

Now, let's add 10 to every value in the data set:

New data set:

X: 50, 40, 55, 45, 35

New Mean = (50 + 40 + 55 + 45 + 35) / 5 = 225 / 5 = 45

Calculate the new deviations from the new mean:

(x - x-bar) = 50 - 45 = 5

(x - x-bar) = 40 - 45 = -5

(x - x-bar) = 55 - 45 = 10

(x - x-bar) = 45 - 45 = 0

(x - x-bar) = 35 - 45 = -10

Square the new deviations [(x - x-bar)²]:

(x - x-bar)² = 5² = 25

(x - x-bar)² = (-5)² = 25

(x - x-bar)² = 10² = 100

(x - x-bar)² = 0² = 0

(x - x-bar)² = (-10)² = 100

Calculate the new sum of squared deviations:

Sum of (x - x-bar)² = 25 + 25 + 100 + 0 + 100 = 250

Calculate the new variance:

New Variance = (Sum of (x - x-bar)) / (n - 1) = 250 / 4 = 62.5

and, New Standard Deviation = √New Variance = √62.5 ≈ 7.91

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It is a true statement that when rainfall increases, the water level in the lake goes up. The rainfall is the independent variable in the situation.

The answer is yes because independent variable is the one that is manipulated or changed in an experiment. The dependent variable is the one that is observed or measured.

In this situation, rainfall is independent variable because it is what is being manipulated or changed. The water level in the lake is the dependent variable because it is what is being observed or measured.

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Answer:

6

Step-by-step explanation:

so a square is is in has 4 sides so 3*3 is equal six.

ANSWER:

140

EXPLANATION:

Given:

We can go ahead and simplify as seen below;

Therefore the answer is 140

The measure of angle W in kite WXYZ is 116 degrees.

the measure of angle W in kite WXYZ, given that the measure of angle X and Z is 86 degrees and the measure of angle Y is 72 degrees, follow these steps:

1. Recall that the sum of interior angles in any quadrilateral (including a kite) is 360 degrees.
2. Add the measures of angles X, Y, and Z: 86 + 86 + 72 = 244 degrees.
3. Subtract the sum of the known angles from 360 degrees: 360 - 244 = 116 degrees.

So, The measure of angle W in kite WXYZ is 116 degrees.

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As per the concept of linear equation, the college student took 13 courses of 3 credit hours.

An equation in math is defined as a mathematical statement with an 'equal to' symbol between two expressions that have equal values

Here we have given that college student completed some courses worth 3 credits and some courses worth 4 credits. The student earned a total of 59 credits after completing 18 courses

And we need to find number of students in each category.

While we looking into the given question, we have given the values like the following,

Here the total credits = 59

And the total courses = 18

Then let us consider the number of 3 credit hour courses is referred as x and the number of 4 credit hour courses referred as y

Then based on the given statement, we have written the equation as

=> x + y = 18 ----------------------------(1)

=> 3x+4y=59   --------------------------(2)

Here we have to eliminate y to find the number of 3 credit hour courses, by multiplying Equation 1 by 4

Then we get,

=> 4x + 4y = 72

Then we have to subtract Equation 2 from Equation 3

Then we get,

=> x = 13

Therefore, the resulting value is 13.

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Answer:

10x+12 is the answer in my calculation.

the dimensions of the garden that minimize the cost are L = 2 ft and W = 4 ft.Let the length of the rectangular garden be L and the width be W. Then, the area of the garden is given as L x W = 8.

The cost C of enclosing the garden is given by:
C = 20L + 10(2L + W)

Substituting the value of W from the area equation, we get:
C = 20L + 10(2L + 8/L)

Differentiating C with respect to L and equating it to zero to find the minimum cost:
dC/dL = 20 + 20 - 80/L^2 = 0
Solving for L, we get L = 2 ft

Substituting L = 2 in the area equation, we get:
W = 4 ft

Therefore, the dimensions of the garden that minimize the cost are L = 2 ft and W = 4 ft.
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Thus, the height of the water in the tank is increasing at a rate of approximately 4 / (9π) meters per minute

To solve this problem, we need to find the rate at which the height of the water is increasing. Let's call the height of the water in the tank h(t), and the rate at which it is increasing dh/dt. We know that the volume of a cylinder is given by the formula\( V = πr^2h\), where V is the volume, r is the radius, and h is the height.
Given information:
- The radius of the cylindrical tank, r, is 3 m.
- The volume of water, V, is being filled at a rate of 4 m^3/min.
We want to find dh/dt. First, we need to find the expression for the volume of the water in the tank with respect to time, V(t):
V(t) = π(3)^2*h(t)
V(t) = 9π*h(t)
Now, we can find the derivative of V(t) with respect to time:
dV/dt = 9π*dh/dt
We know that dV/dt = 4 m^3/min. Therefore:
4 = 9π*dh/dt
Now, we can solve for dh/dt:
dh/dt = 4 / (9π)

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The least possible value for the mode is D=11

Let M be the median

According to the question, the two largest integers are M+2

Let a and b be the two smallest integers such that a<b

Accordingly, the sorted list can be concluded as a,b, M, M+2, M+2

Since the median is 2 greater than their arithmetic mean, we have,

{a+b+M+(M+2)+(M+2)/5 }+2 =M

OR, a+b+14=2M

Note that a+b must be even.

We minimize this sum so that the arithmetic mean, the median, and the unique mode is minimized.

Let a=1 and b=3

from which M=9 and

M+2=11

Therefore, The least possible value for the mode is D=11

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The answer to the given question is 5≤x<9.

Open interval do not include the given points where close intervals include the given points.

According to the given question

x is less than 9 and greater than or equal to 5

5≤x<9

There are 4 types of inequalities lees than, greater than, less than or equal to, greater than or equal to.

Suppose a is greater than 2 and less than 6 this can be written as

2<x<6.

another example a is greater than or equal to 2 and less than or equal to 6 then this can be written as

2≤x≤6.

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Answer

The sum of 3 and -3 = 0

Explanation

The sum of two numbers is the addition of both numbers.

Hence, the sum of 3 and -3 is written mathematically as

3 + (-3)

But we should also know that adding a negative number is the same as just subtracting that number

3 + (-3)

= 3 - 3

= 0

Hope this Helps!!!

The transformations that are occurring between each of the function are given as follows:

f(x) = 14(x - 3) + 1 and g(x) = 7(x + 2) + 1: vertical compression by a factor of 1/2 and shift left 5 units.

f(x) = 6(x + 2) - 3 and g(x) = 8(x - 3) + 6: vertical stretch by a factor of 4/3, shift right 5 units and shift up 9 units.

f(x) = 3(x - 1) + 2/3 and g(x) = 3(3 - x) - 2/3: reflection over the y-axis, shift left 2 units and shift up 4/3 units.

f(x) = 1/3(x + 2) - 4 and g(x) = 1/3(-x - 2) + 6: reflection over the y-axis and shift up 10 units.

f(x) = 4/3(x - 2/3) + 1/3 and g(x) = 2/3(2/3 - x) = reflection over the y-axis, shift down of 1/3 units and vertical stretch by a factor of 2.

The curve of the graph "moves to the left/right/up/down," "it expands or compresses," or "it reflects" when a function is changed.

The transformation rules are defined as follows:

x -> x + a: shift left a unit.

x -> x - a: shift right a unit.

y -> y + a: shift up a unit.

y -> y - a: shift down a unit.

y -> ky, k > 1: vertical stretching by k times.

Vertical compression by a factor of k is achieved by y -> ky, k 1, horizontal compression by a factor of k is achieved by x -> kx, k > 1, and vertical stretch by a factor of k is achieved by x -> kx, k 1.

x -> -x: reflection over the y-axis.

y -> -y: reflection over the x-axis.

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Answer:

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. In plain English, the definition means: The range is the resulting y-values we get after substituting all the possible x-values.