What is the area, in square feet, of the shaded part of the rectangle below?

Answer:

1/6

Step-by-step explanation:

The answer for b is 18 ; 2×6 +3×2

then for c. 24; 2×6×2

Answer:

D

Step-by-step explanation:

On the scatterplot, Point A lies at the intersection of $15 (i.e., the admission price) and 120 (i.e., the number of visitors).

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∆ GHJ is an Equilateral triangle ,

Thus the sides are same.

So :

GH = HJ = GJ

\(2x + 17 = 6x - 19 = 4x - 1\)

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\(2x + 17 = 6x - 19\)

Add sides 19

\(2x + 17 + 19 = 6x - 19 + 19 \\ \)

\(2x + 36 = 6x\)

Subtract sides 2x

\( - 2x + 2x + 36 = - 2x + 6x\)

\(36 = 4x\)

\(4x = 36\)

Divide sides by 4

\( \frac{4x}{4} = \frac{36}{4} \\ \)

\(x = 9\)

So ;

\(GH = 2(9) + 17\)

\(GH = 18 + 17\)

\(GH = 35\)

Thus ;

\(GH = HJ = GJ = 35\)

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The remaining 50.4% of the variance has not been accounted for, and it could be due to other factors that are not captured by the two variables being studied.

If the correlation between two variables is .496, it means that 49.6% of the variance has been accounted for. This is because the correlation coefficient measures the strength and direction of the linear relationship between the two variables, and it ranges from -1 to 1.

A correlation of 1 indicates a perfect positive linear relationship, while a correlation of -1 indicates a perfect negative linear relationship. In this case, a correlation of .496 indicates a moderate positive linear relationship.

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Answer:

127 degrees f

Step-by-step explanation:

-117 + ? = 10

Answer:

y=3

Step-by-step explanation:

Basically you have to multiply 8 times y which is 8y. And you have to multiply 6 times 4 which is 24. 8y=24 y=3

To obtain an expression for g(s) unit step function is:

a)

b)

c)

(a) To obtain an expression for g(s) given g(t) = [su(0)]^2 - u(t), we can start by replacing t with s in the given expression for g(t):

g(s) = [su(0)]^2 - u(s)

Here, u(s) is the unit step function, which is equal to 1 for s > 0 and 0 for s < 0. Therefore, we can simplify the expression for g(s) as follows:

For s ≥ 0: g(s) = [su(0)]^2 - u(s) = s^2 - 1

For s < 0: g(s) = [su(0)]^2 - u(s) = 0 - 0 = 0

Therefore, the expression for g(s) is:

g(s) = s^2 - 1, for s ≥ 0

g(s) = 0, for s < 0

(b) To obtain an expression for g(s) given g(t) = 2u(t) - 2u(t - 2), we can start by replacing t with s in the given expression for g(t):

g(s) = 2u(s) - 2u(s - 2)

Here, u(s) and u(s-2) are both unit step functions, which are equal to 1 for s > 0 and 0 for s < 0. Therefore, we can simplify the expression for g(s) as follows:

For s < 0: g(s) = 0 - 0 = 0

For 0 ≤ s < 2: g(s) = 2u(s) - 0 = 2

For s ≥ 2: g(s) = 2u(s) - 2u(s - 2) = 2 - 2 = 0

Therefore, the expression for g(s) is:

g(s) = 2, for 0 ≤ s < 2

g(s) = 0, for s < 0 or s ≥ 2

(c) To obtain an expression for g(s) given g(t) = tu(2t), we can start by replacing t with s/2 in the given expression for g(t):

g(s) = (s/2)u(s)

Here, u(s) is the unit step function, which is equal to 1 for s > 0 and 0 for s < 0. Therefore, we can simplify the expression for g(s) as follows:

For s ≤ 0: g(s) = (s/2)u(s) = 0

For s > 0: g(s) = (s/2)u(s) = (s/2)

Therefore, the expression for g(s) is:

g(s) = (s/2), for s > 0

g(s) = 0, for s ≤ 0

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(a)  \(g(s) = [su(0)]^2/s - 1/s\)

(b) \(g(s) = 2/s - 2 * e^(-2s) / s\)

(c) \(g(s) = -1 / (2s^2)\)

(a) \(g(t) = [su(0)]^2 - u(t):\)

To obtain g(s), use Laplace transform of g(t) with respect to t. Recall that the Laplace transform of u(t) is 1/s, and the Laplace transform of \(t*u(t)\) is \(1/s^2\). Therefore, we have:

\(g(s) = L{[su(0)]^2 - u(t)} = [su(0)]^2 * L{1} - L{u(t)} = [su(0)]^2 * 1/s - 1/s\)

So the expression for g(s) is:

\(g(s) = [su(0)]^2/s - 1/s\)

(b) g(t) = 2u(t) - 2u(t - 2):

Using the properties of the Laplace transform, we have:

\(g(s) = L{2u(t) - 2u(t - 2)} = 2 * L{u(t)} - 2 * L{u(t - 2)} = 2/s - 2 * e^(-2s) / s\)

So the expression for g(s) is:

\(g(s) = 2/s - 2 * e^(-2s) / s\)

(c) g(t) = tu(2t):

Applying the properties of the Laplace transform, we have:

\(g(s) = L{tu(2t)} = -d/ds (L{u(2t)}) = -d/ds (1 / (2s)) = -1 / (2s^2)\)

So the expression for g(s) is:

\(g(s) = -1 / (2s^2)\)

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Step-by-step explanation:

Here

5x+16+7x-3+6x+5 = 180(being sum of triangle)

or, 18x=180-18

or, x= 162/18

so, x = 9

now,

here,

<ACD = <ACB(diagonals of parallelogram bisect eachother)

or, <ACD = 7x-3

or, <ACD = 7×9-3

or, <ACD = 63-3

So, <ACD = 60°

An ANOVA is a statistical test that is used to compare the means of three or more groups. In this case, the three groups are the three treatment conditions. The ANOVA will compare the between-treatments variance (MSB) to the within-treatments variance (MSW).

If the MSB is significantly larger than the MSW, then this indicates that there are significant mean differences between the three treatments.

The following are the steps involved in conducting an ANOVA:

Calculate the between-treatments variance (MSB). The MSB is calculated by averaging the squared deviations of the treatment means from the overall mean.

Calculate the within-treatments variance (MSW). The MSW is calculated by averaging the squared deviations of the individual scores from their respective treatment means.

Calculate the F-statistic. The F-statistic is a ratio of the MSB to the MSW. The F-statistic is calculated as follows:

F = MSB / MSW

Compare the F-statistic to the critical value. The critical value of the F-statistic can be found in a table of F-distributions. The critical value depends on the degrees of freedom (df) for the between-treatments variance and the degrees of freedom for the within-treatments variance.

Make a decision. If the F-statistic is greater than the critical value, then this indicates that the null hypothesis (all three treatments have the same mean) can be rejected. This means that there are significant mean differences between the three treatments.

For example Let's say that we have a study with three treatment conditions: A, B, and C. We have a sample of 12 participants in each treatment condition, for a total of 36 participants. We calculate the MSB to be 100 and the MSW to be 25. The F-statistic is calculated as follows:

F = 100 / 25 = 4

The critical value of the F-statistic for df = 2 and df = 33 is 3.389. Since the F-statistic (4) is greater than the critical value (3.389), we can reject the null hypothesis and conclude that there are significant mean differences between the three treatments.

The ANOVA is a powerful statistical tool that can be used to compare the means of three or more groups. The ANOVA can be used to determine whether there are significant mean differences between the groups, and it can also be used to determine which groups are significantly different from each other.

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Answer: mandatory and discretionary.

Answer:

(-4^9)^2 = -4^18

(4^6)^-3 = 1/4^18

(4^0)^-9 = 4^0

(4^-3)^-3 = 4^9

Step-by-step explanation:

Here, we want to match what we have on the left with the expressions on the right.

(-4^9)^2

= -4^18

(4^6)^-3

= 4^-18 = 1/4^18 according to laws of indices

(4^0)^-9 = 4^0

(4^-3)^-3

= 4^9

Answer:

(-4^9)^2 = -4^18

(4^6)^-3 = 1/4^18

(4^0)^-9 = 4^0

(4^-3)^-3 = 4^9

Step-by-step explanation:

Answer:

did you use google.if not use it it is good to use.

If Sarah can text 91 words in 14 minutes, then at this rate she will type 65 words in 10 minutes

Number of minutes to types 91  words = 14 minutes

Here we have to use the unitary method to solve the problem

Time taken to type 1 word = Number of minutes to types 91  words / 91

Substitute the values in the equation

= 14  / 91

= 2 / 13

Time taken to type 65 words =  Time taken to type 1 word × 65

Substitute the values in the equation

= (2/13) × 65

= 10 minutes

Hence, if Sarah can text 91 words in 14 minutes, then at this rate she will type 65 words in 10 minutes

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The best estimate for the weight of a cantaloupe is 2 kilograms (B).

A decigram is 1/10th of a gram, which would be too small of weight for a cantaloupe. 2 grams (C) is also too small for a cantaloupe as it would only be the weight of a few small seeds. 2 milligrams (D) is an extremely small weight, only suitable for a single grain of salt or a tiny insect.

Therefore, 2 kilograms (B) is the most reasonable estimate for the weight of a cantaloupe as it falls within the typical range of cantaloupe weights.

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Complete Question:

Choose the best estimate for the weight of a cantaloupe. Responses

A 2 decigrams

B 2 kilograms

C 2 grams

D 2 milligrams

Answer:

yes

Step-by-step explanation:

if i did the math right marcy should have enough

Answer: Y= -5x+4

Step-by-step explanation:

1. Communicating via e-mail is a traditional use of computers.

2. Creating advertisements and paying someone to publicize them is a traditional use of computers.

3. Communicating via social networking websites is a new use of computers.

4. Collaborating as a virtual team is a new use of computers.

5. Manually managing financial, inventory, and scheduling records is a traditional use of computers.

1. Communicating via e-mail is a use of computers:

This is a traditional use of computers. Computers have long been used for sending and receiving emails, which allows for efficient and instant communication between individuals and organizations.

2. Creating advertisements and paying someone to publicize them is a use of computers:

This statement can be considered both a traditional and a new use of computers. While the act of creating advertisements can involve traditional methods like graphic design software on computers, the mention of paying someone to publicize them suggests a more modern approach, potentially involving digital marketing platforms and online advertising.

3. Communicating via social networking websites is a use of computers:

This is a new use of computers. Social networking websites have become popular platforms for communication and connecting with others. Computers and internet access are essential for engaging in social networking activities.

4. Collaborating as a virtual team is a use of computers:

This is a new use of computers. With advancements in technology, virtual teams can collaborate remotely using computers and various online collaboration tools. This allows team members to work together, share documents, communicate, and coordinate their efforts, regardless of their physical location.

5. Manually managing financial, inventory, and scheduling records is a use of computers:

This is a traditional use of computers. Computers have been widely used for managing and organizing various records, such as financial transactions, inventory management, and scheduling. This digital approach provides more efficient data storage, retrieval, and analysis compared to manual record-keeping methods.

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Complete Question:

Use the drop-down menus to indicate whether each statement describes a traditional use of computers or a new use.

Answer:

x=32

Step-by-step explanation:

Answer:

C. 4

Step-by-step explanation:

Rewrite the equation in terms of y = mx + b

f(x) = -5x + 4

The statement "Linear programming can be used to find the optimal solution for profit, but cannot be used for nonprofit organizations" is False.

Linear programming can be used to find the optimal solution for profit as well as for non-profit organizations. Linear programming is a method of optimization that aids in determining the best outcome in a mathematical model where the model's requirements can be expressed as linear relationships. Linear programming can be used to solve optimization problems that require maximizing or minimizing a linear objective function, subject to a set of linear constraints.

Linear programming can be used in a variety of applications, including finance, engineering, manufacturing, transportation, and resource allocation. Linear programming is concerned with determining the values of decision variables that will maximize or minimize the objective function while meeting all of the constraints. It is used to find the optimal solution that maximizes profits for for-profit organizations or minimizes costs for non-profit organizations.

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Answer:

6 > 2x + y

To find the slope and y-intercept for this linear inequality, we need to write it in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

Rearranging the given inequality, we get:

y > -2x + 6

Comparing this with y = mx + b, we can see that the slope is -2 and the y-intercept is 6.

So, the slope is m = -2 and the y-intercept is b = 6.

To graph this linear inequality, we can draw the line y = -2x + 6 (which has a slope of -2 and y-intercept of 6) as a dashed line (since y > -2x + 6, not y = -2x + 6). Then we shade the region above the line, since all the points in that region satisfy the inequality y > -2x + 6.

x < 3y - 6

Again, we need to write this inequality in slope-intercept form to find the slope and y-intercept. Rearranging, we get:

3y > x + 6

Dividing both sides by 3, we get:

y > (1/3)x + 2

So, the slope is m = 1/3 and the y-intercept is b = 2.

To graph this linear inequality, we draw the line y = (1/3)x + 2 (which has a slope of 1/3 and y-intercept of 2) as a dashed line (since x < 3y - 6, not x = 3y - 6). Then we shade the region below the line, since all the points in that region satisfy the inequality x < 3y - 6.

Answer:

Step-by-step explanation:

Answer:

(7n-4)^2

Step-by-step explanation:

Hope this helps

Answer:

7n-4)^2

( hope this was helpful) >;D

The evolution of the function call (things '(11 -2 31)) is as follows:

(things '(11 -2 31)) -> (things '(-2 31)) -> (things '(31)) -> (things '()) -> '() the final result of the given call is '().

The given function is a recursive function called "things" that takes a list as input. It checks if the list is empty (null), and if so, it returns an empty list. Otherwise, it checks if the first element of the list (car x) is greater than 10. If it is, it adds 1 to the first element and recursively calls the "things" function on the rest of the list (cdr x). If the first element is not greater than 10, it subtracts 1 from the first element and recursively calls the "things" function on the rest of the list. The function then returns the result.

Now, let's see the evolution resulting from the call (things '(11 -2 31)):

1. (things '(11 -2 31))

  Since the list is not empty, we move to the next if statement.

  The first element (car x) is 11, which is greater than 10, so we add 1 to it and recursively call the "things" function on the rest of the list.

  The recursive call is (things '(-2 31)).

2. (things '(-2 31))

  Again, the list is not empty.

  The first element (car x) is -2, which is not greater than 10, so we subtract 1 from it and recursively call the "things" function on the rest of the list.

  The recursive call is (things '(31)).

3. (things '(31))

  The list is still not empty.

  The first element (car x) is 31, which is greater than 10, so we add 1 to it and recursively call the "things" function on the rest of the list.

  The recursive call is (things '()).

4. (things '())

  The list is now empty, so the function returns an empty list.

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The best point estimate for the population mean score on the nationwide examination in psychology is the sample mean of 492.

When we take a sample from a population, the sample mean is a point estimate of the population mean. A point estimate is an estimate of a population parameter based on a single value or point in the sample. In this case, the sample mean of 492 is the best point estimate for the population mean, because it is an unbiased estimator.

An estimator is unbiased if it is expected to be equal to the true population parameter. In this case, the expected value of the sample mean is equal to the population mean. This means that if we were to take many different samples from the population and calculate the sample mean for each sample, the average of all these sample means would be equal to the population mean.

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The given question is incomplete, the complete question is:

You would like to construct a 95% confidence interval to estimate the population mean score on a nationwide examination in psychology, and for this purpose we choose a random sample of exam scores. The sample we choose has a mean of 492 and a standard deviation of 78. What is the best point estimate, based on the sample, to use for the population mean?

From the solution, Kevin made an error in step 3 by adding 2 and 3 instead of multiplying 6 and 2. The correct solution is 66

Given the expression solves by Kevin below;

75 - 6 (8 - 6) + 3

Step 2: Simplify the expression in parenthesis

75 - 6(2) + 3

Step 3: Solve the product (PEMDAS)

75 - 12 + 3

75 - 9

Step 4: 66

From the solution, Kevin made an error in step 3 by adding 2 and 3 instead of multiplying 6 and 2

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Answer:

Numerical expression 1

\(\frac{4}{10000} * \frac{5}{1000} = \frac{20}{10000000} = \frac{1}{500000}\)

Numerical expression 2

\(\frac{1}{50000} = 0.2 * 10^{-4} = 2 * 10^{-5}\)

Numerical expression 3

\(1 : 50000\)

Step-by-step explanation:

Numerical expression 1

\(\frac{4}{10000} * \frac{5}{1000} = \frac{20}{10000000} = \frac{1}{500000}\)

Numerical expression 2

\(\frac{1}{50000} = 0.2 * 10^{-4} = 2 * 10^{-5}\)

Numerical expression 3

\(1 : 50000\)