What is the surface area of the rectangular prism below?
15
A. 525 units2
B. 432 units2
C. 490 units2
D. 496 units2

The given equation \((6c^2+3c)/(-4c+2)\div (2c+1)/(4c-2)\) is equivalent to the expression -3c.

Given that, the expression can be written as.

\((6c^2+3c)/(-4c+2)\div (2c+1)/(4c-2)\)

By simplifying the above equation,

\(\dfrac{6c^2+3c}{-4c+2}\div \dfrac{2c+1}{4c-2}\)

By taking out the common terms from the equation,

\(\dfrac{3c(2c+1)}{2(-2c+1)}\div\dfrac{2c+1}{2(2c-1)}\)

By simplifying the above equation by cancel out the common factors.

\(\dfrac{3c}{-2c+1} \div \dfrac{1}{2c-1}\)

Now, by taking (-1) common from (-2c+1) we get,

\(\dfrac{3c}{-1(2c-1)} \div \dfrac{1}{2c-1}\)

By simplifying the above equation, we get the expression,

\(-3c\)

So the given equation \((6c^2+3c)/(-4c+2)\div (2c+1)/(4c-2)\) is equivalent to the expression -3c.

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Answer:

D -3c

Step-by-step explanation:

The mean of a set of log-normally distributed random variables is equal to the mean of their logs.

Therefore, if we simulate a lot of lognormal(5,1) random variables, take their logs and then take the mean, it will be closest to the mean of the logs, which is 5. This is because lognormal(5,1) tells us that the mean of the original variables is exp(5+1^2/2), which is equal to exp(5.5), or 148.413. Taking the log of this number returns 5.

To calculate this more precisely, let's assume we simulate n lognormal(5,1) random variables and denote them by x_1, x_2, ..., x_n. We take the logs of each variable, producing the values y_1, y_2, ..., y_n. The mean of the logs is then calculated as (y_1+y_2+...+y_n)/n. Since each y_i is equal to the log of one of the x_i's, which is equal to 5, the mean of the logs is 5. Therefore, if we simulate a lot of lognormal(5,1) random variables, take their logs and then take the mean, it will be closest to 5.

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True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

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Answer:

x=1.89278

Step-by-step explanation:

change into a logmarith

log_3 8=x

use change of base formula

put in calculator

x= 1.89278

Answer:

12,14,25 I think or A

Step-by-step explanation:

To enable a set of three numbers to represent three sides of a triangle, sum of smaller two numbers must be greater than the largest number. Hence, only C can represent a triangle

Answer:

153.94 inches cubed

Step-by-step explanation:

plug in 7 as the radius

the formula is A = πr^2

Answer: $50.99

Step-by-step explanation:

Given

The computer game is Priced at \(\$59.99\)

It is marked down by \(15\%\)

Final price is

\(\Rightarrow 59.99-15\%\ \text{of}\ 59.99\\\Rightarrow 59.99(1-0.15)=59.99\times 0.85\\\Rightarrow \$50.99\)

Answer:

6.28

Step-by-step explanation:

2×3.14 because this is just simple multiple

Answer:

P =  0.9544

Step-by-step explanation:

Firs,t we need to standardize 46 and 54 using the following equation:

\(z=\frac{x-m}{s}\)

Where m is the mean and s is the standard deviation for the random variable.

Replacing m by 50 and s by 2, we find that 46 and 54 are equivalent to:

\(z=\frac{46-50}{2}=-2\\z=\frac{54-50}{2}=2\)

Then, the probability that x is between 46 and 54 is equal to:

P(46<x<54) = P(-2<z<2)

So, using the normal table, we can find the probability as:

P(-2<z<2) = P(z<2) - P(z<-2)

P(-2<z<2) = 0.9772 - 0.0228

P(-2<z<2) = 0.9544

Answer: 0

Step-by-step explanation:

Answer:

  y = (4 -x)e^-2

Step-by-step explanation:

You want an equation of the tangent line to the graph of f(x) = xe^−x at its inflection point.

The inflection point on a curve is the point where the second derivative is zero, where the curve changes from being concave downward to concave upward, or vice versa.

We can use the product rule to differentiate f(x):

  (uv)' = u'v +uv'

  f'(x) = 1·e^-x +x·(-1)(e^-x) = (e^-x)(1 -x)

Then the second derivative is ...

  f''(x) = (-e^-x)(1 -x) +(e^-x)(-1) = (e^-x)(x -2)

The second derivative is zero where one of its factors is zero. e^-x is never zero, so we have ...

  (x -2) = 0   ⇒   x = 2

The point of inflection occurs at x = 2.

The point-slope equation of the line with slope m through point (h, k) is ...

  y -k = m(x -h)

For this problem, we have ...

  m = f'(2) = (e^-2)(1 -(2)) = -e^-2

  (h, k) = (2, f(2)) = (2, 2e^-2)

So, the equation of the tangent line is ...

  y -2e^-2 = -e^-2(x -2)

In slope-intercept form, this is ...

  y = (-e^-2)x +4e^-2

__

Additional comment

We can rearrange the equation to ...

  y = (4 -x)e^-2

Usually a tangent line touches the graph, but does not cross it. The tangent at the point of inflection necessarily crosses the graph.

Answer:

3360 cm^2

Step-by-step explanation:

24 times 14 times 10 = 3360

Answer:

It is V

Step-by-step explanation:

v= 468 and that is the lowest.

Answer:

- 9 + 12x

Step-by-step explanation:

- 3(3 - 4x) ← multiply each term in the parenthesis by - 3

= - 9 + 12x

Answer:

28(1 + 2t +w)

Step-by-step explanation:

28 + 56t + 28w.

Factor out a 28 from the expression.

28(1 + 2t + w)

Answer:

-0.4 or -2/5

:) hope this helped!

About Nevada state, it is true that "The rural air pollution level for this state is much higher or much lower than the rest of the states in the data set."

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Answer:

13 blocks per hour

Step-by-step explanation:

52/4=13

hope this is helpful

Answer:

13 blocks per hour

Step-by-step explanation:

52/4 = 13

He was walking really slow apparently

Yes lower production cost increase profit.

Production costs are expenses, such as labor and materials that your company incurs within the course of producing the product that you simply offer to consumers. In common, the lower your generation cost, the higher your benefit, or the sum you've got remaining after you subtract your costs from your sales revenue. lower production costs generally lead to higher profits. When production costs are lower, companies can charge lower prices and still make a profit, or they can keep prices the same and earn higher profits. Lower production costs also reduce the amount of money spent on materials, labor, and other expenses, leaving more of the revenue as profit.

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The correlation coefficient for the data in the given table is 0.28.

Correlation coefficients are used to measure how strong a relationship is between two variables.

Number of flowers X   Total cost(in$) Y

          8                          12

          12                        40

          6                          15

         20                        20

       ∑X=46                  ∑X=87

The image of the correlation coefficient formula has been attached.

X mean = 11.5

Y mean = 21.75

Using the attached formula

Correlation coefficient r = 0.28

Therefore, the correlation coefficient for the data in the given table is 0.28.

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Saving account is an example of a demand account.

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In 5 years, the town will have 7,359 people living there.

We can use a model of population growth over time to calculate this using an exponential equation. We must first determine the growth rate. Since we know that the population is growing at a rate of 1.3 percent per year, we can figure out the growth rate as follows: 1 minus (1.3/100) equals 1.013.

Next, we can set up the exponential equation, using the initial population of 6,348 and the growth rate of 1.013:

P(t) = 6348 *\(1.013^t\)

where t is the time since the initial population was formed. t is 5 in this instance. We can now incorporate this into the equation to determine the town's population after five years:

P(5) = 6348 * \(1.013^5\)

= 7,359

So the population of the town will be 7,359 people in 5 years.

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The rest allowance for chopping down a tree is 0.67 hours (rounded to two decimal places) or 40 minutes. In an 8-hour shift, approximately 40 minutes should be allowed for rest.

To calculate the rest allowance, we need to determine the energy expenditure for chopping down a tree and convert it into a time duration.

Given that the energy expenditure associated with chopping down a tree is 8.0 kcal/min, we can calculate the rest allowance using the following formula:

Rest allowance = Energy expenditure (kcal/min) * Time duration (min) / Energy content of food (kcal).

As the rest allowance is typically a fraction of the energy expenditure, we can use the value of 0.25 (25%) as the input for the rest allowance calculation.

Rest allowance = 8.0 kcal/min * Time duration (min) / Energy content of food (kcal) = 0.25.

Solving for the time duration, we find:

Time duration (min) = 0.25 * Energy content of food (kcal) / 8.0 kcal/min.

To determine the time duration in hours, we divide the time duration in minutes by 60:

Time duration (hours) = Time duration (min) / 60.

The specific energy content of food is not provided in the question. Therefore, without knowing the energy content, we cannot calculate the exact time duration for the rest allowance.

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Answer:

this is about a 45 degree angle

Step-by-step explanation:

Answer:

k = 3

Step-by-step explanation:

Subtract that one from the right side and then from the left side, so the equation should now look like (6 = 2k). Now you need to make the k be by itself to find what number it represents. So divide 2k by 2 and 6 by 2. So now the equation should look like (3 = k). (k = 3)

Slope-Intercept Form: The slope-intercept form of a linear equation is given by y = mx + b, where 'm' represents the slope of the line and 'b' represents the y-intercept (the point where the line intersects the y-axis).

This form is convenient for quickly identifying the slope and y-intercept of a line by inspecting the equation.

Point-Slope Form: The point-slope form of a linear equation is given by y - y₁ = m(x - x₁), where (x₁, y₁) represents a point on the line and 'm' represents the slope.

This form is useful when we have a specific point on the line and its slope, allowing us to write the equation directly without needing to determine the y-intercept.

Standard Form: The standard form of a linear equation is given by Ax + By = C, where 'A', 'B', and 'C' are constants, and 'A' and 'B' are not both zero.

This form represents a linear equation in a standard, generalized format.

It allows for easy comparison and manipulation of linear equations, and it is commonly used when solving systems of linear equations or when dealing with equations involving multiple variables.

These three forms provide different ways of representing a linear equation, each with its own advantages and applications. It is important to be familiar with all three forms to effectively work with linear equations in various contexts.

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The probable question may be:
Write the three forms of a linear equation for the following.

Slope-Intercept Form:

Point-Slope Form:

Standard Form: