Which of the following could be the equation for a parabola that opens down
with vertex (-11, -28)?
A. x=-5(y + 28)2 - 11
B. y= -5(x +11)2 - 28
C. X= 5(y +11)2 - 28
D. y = 5(x+28)2 - 11

Answer:

3.52

Step-by-step explanation:

3.5274 to be exact

Answer:

your correct answer is y=-1/5-3

Step-by-step explanation:

The linear equation of the line is y = -1/5x - 3 and y + 3 = -1/5(x - 0)

The slope is given as:

m = -1/5

The y-intercept is given as:

c = -3

A linear equation in slope intercept form is represented as:

y = mx + c

So, we have:

y = -1/5x - 3

The equation in point slope form is calculated as follows:

y = -1/5x - 3

Add 3 to both sides

y + 3 = -1/5x

Express -1/5x as -1/5(x)

y + 3 = -1/5(x)

Subtract 0 from x

y + 3 = -1/5(x - 0)

Hence, the linear equation of the line is y = -1/5x - 3 and y + 3 = -1/5(x - 0)

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Answer:

Step-by-step explanation:

The maximum value is the y-coordinate of the most extreme point in the positive direction. On this graph, it is 40.

The minimum value is the y-coordinate of the most extreme point in the negative direction. On this graph, it is -10.

The midline is the line halfway between the maximum and minimum. Its y-coordinate is the average of the maximum and minimum: (40-10)/2 = 15.

The amplitude is the difference between the maximum and the midline:

  40 -15 = 25.

__

The term "rate constant" is used for many things, but is rarely seen as a descriptor of a sine function. For that, you'll need to consult your text or other reference material. (Google turns up kinetic rate constants, chemical reaction rate constants, and others—nothing related to sine functions.)

The usual descriptors are frequency or period. (Frequency is the reciprocal of period.) On this graph, the period of the function is 6 units, so the frequency is 1/6 cycles per unit.

Answer:

  KL = 3

Step-by-step explanation:

It appears we are to assume that K lies between J and L, so we have ...

  JK +KL = JL

  (2x+3) +(x) = (4x)

  3x +3 = 4x

  3 = x . . . . . . . subtract 3x

KL = 3

Answer:

4

Step-by-step explanation:

JL  =  JK + KL Additive Property of Length

4x + 5  =  (5x − 1) + 2x Plug in JL = 4x + 5, JK = 5x − 1, and KL = 2x

4x + 5  =  7x − 1 Add

4x + 6  =  7x Add 1 to both sides

6  =  3x Subtract 4x from both sides

2  =  x Divide both sides by 3

Now, use the value of x to find KL.

KL  =  2x Given

KL  =  2(2) Pluginx = 2

KL  =  4 Multiply

Answer:

d

Step-by-step explanation:

Answer: Spontaneous recovery likely occurred, and the dog salivated in response to the triangle

Step-by-step explanation:

Spontaneous recovery is the reappearance of the conditioned response when a rest period has taken place or when there's a period of lessened response.

In this case, since the researchers put the dog back in his cage for three hours after which the dog went through the conditioning process again after the three hours, then there'll be a spontaneous recovery.

Answer:

Inverse Function = 4x -8

Step-by-step explanation:

replace x with y and replace x with y

solve for y (meaning isolate y)

y=(1/4x) +2

x= (1/4y) +2

x-2 = 1/4y

multiply by 4 on each side to remove 1/4 from the right side

4(x-2) = y

y= 4(x-2)

y= 4x -8

Inverse Function = 4x -8

(2a² + 3a - 5) - (3a² + 3a + 7)

Distributing the negative sign, we have:

2a² + 3a - 5 - 3a² - 3a - 7

Combining like terms, we get:

(2a² - 3a²) + (3a - 3a) + (-5 - 7)

= -a² - 12

The equation (x - 2)² = 13 is not equivalent because it represents a perfect square, not the original quadratic equation.

The equation (x - 2)² = 17 is also not equivalent because the constant term is different from the original equation.

The equation (x - 4)² = 13 is equivalent to the original equation because it represents a perfect square with the correct constant term.

The equation (x - 4)² = 17 is not equivalent because the constant term is different from the original equation.

(2x - 1)(3x + 4)

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Answer:

8x

Step-by-step explanation:

By reviewing your class notes.

Sure hope this helps!

Answer:

Step-by-step explanation:

Learn the material with examples, and do lots of problems. The more problems you solve, the more familiar you become with the problems and the faster and better you will answer the questions.

Answer:

A. Survey

Step-by-step explanation:

Answer:

Option A. Survey

Step-by-step explanation:

What is survey?

Survey is defined as the act of examining a process or questioning a selected sample of individuals to obtain data about a service, product, or process.

Nick collected samples and then concluded his answer which is a survey he conducted.

Correct answer is Option A.

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Compute the sum to simplify C :

\(C = \begin{bmatrix}16-0.5 & 9+0 \\ -3+5 & 0 + 8 \\ 4-3 & -10+14\end{bmatrix} = \begin{bmatrix}15.5 & 9 \\ 2 & 8 \\ 1 & 4\end{bmatrix}\)

Now, \(c_{ij}\) is the entry of the matrix in row i and column j, so

\(C = \begin{bmatrix}15.5 & \boxed{9} \\ 2 & 8 \\ 1 & 4\end{bmatrix} \implies c_{12} = 9\)

\(C = \begin{bmatrix}15.5 & 9 \\ 2 & 8 \\ \boxed{1} & 4\end{bmatrix} \implies c_{31} = 1\)

\(C = \begin{bmatrix}15.5 & 9 \\ 2 & \boxed{8} \\ 1 & 4\end{bmatrix} \implies c_{22} = 8\)

The Maclaurin series of \(xe^{8x}=\frac{\sum^\infty_0(8^n * x^n)}{n!}\)

What is the Maclaurin series?

The Maclaurin series is a special case of the Taylor series expansion, where the expansion is centered around x = 0. It represents a function as an infinite sum of terms involving powers of x. The Maclaurin series of a function f(x) is given by:

\(f(x) = f(0) + f'(0)x +\frac{ (f''(0)x^2}{2!} + ]\frac{(f'''(0)x^3)}{3! }+ ...\)

To find the Maclaurin series of the function f(x) = \(xe^{8x}\), we can start with the general formula for the Maclaurin series expansion:

\(f(x) = \frac{\sum^\infty_0(f^n(0) * x^n) }{ n!}\)

where\(f^n(0)\) represents the nth derivative of f(x) evaluated at x = 0.

Let's determine the appropriate series for the function \(f(x) = xe^{8x}\) from the given options:

a) \(\frac{\sum^\infty_0(8^n * x^{n+1})}{n!}\)

b) \(\frac{\sum^\infty_0(x^n )} {8^n*n!}\)

c)\(\sum^\infty_0(8^n * x^n)/n!\)

d)\(\frac{\sum^\infty_0(x^n )} {n!}\)

Comparing the given options with the general formula, we can see that option (c) matches the required form:

f(x) = \(=\frac{\sum^\infty_0(8^n * x^n)}{n!}\)

Therefore, the Maclaurin series of \(f(x) = xe^{8x}\) can be written as:

f(x) = \(=\frac{\sum^\infty_0(8^n * x^n)}{n!}\)

Option (c) is the correct series to represent the Maclaurin series of \(xe^{8x}.\)

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Answer:

4800cm²

Step-by-step explanation:

20x30x8=4800

Step-by-step explanation:

Identification of given pairs of angles are as follows:

∠1 and ∠10: Corresponding angles

∠6 and ∠12: Alternate exterior angles

∠8 and ∠10: Alternate interior angles

∠4 and ∠11: Alternate interior angles

∠2 and ∠8: Alternate exterior angles

The relation between a function and it's inverse function is given as follows:

Reflected through y = x.

Suppose we have a function with definition given as follows:

y = f(x).

To obtain the inverse function, we must exchange the variables x and y, and then isolate the variable y.

This entire procedure is equivalent to a reflection over the line y = x, hence the third option is the correct option for this problem.

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Colin's new mean score, after getting 6 runs on Sunday, is approximately 20.09.

To calculate Colin's mean score, we need to sum up all his scores and divide by the number of scores.

a) Mean score:

16 + 11 + 25 + 27 + 11 + 25 + 20 + 26 + 29 + 35 = 215

Total scores: 10

Mean score = 215 / 10 = 21.5

Colin's mean score is 21.5.

b) To calculate his new mean score after getting 6 runs on Sunday, we need to add the new score to the previous total and divide by the new number of scores.

New total scores = 215 + 6 = 221

New number of scores = 10 + 1 = 11

New mean score = 221 / 11 = 20.09 (rounded to two decimal places)

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Answer:

y=-3x+2 y=-x-4

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Total- 90 runners

first half- 1/6 of 90 dropped out, so 15 dropped out.

There are 75 left.

Then, 1/3 of 75 dropped out, so 25

75-25=50

There are 50 runners still in the race

Hope this helps!

let me know if it does and if it was right.

The 95% confidence interval for the mean score of all oenology students is now [70.8, 74.2]. The test statistic increased to 6.05 and the p-value decreased to 6.03 x 10^(-9), the mean score of all oenology students is greater than 70.

The width of the 95% confidence interval for the mean score of all oenology students will decrease. The formula for the confidence interval is:

CI = X ± tα/2 * (s/√n)

where X is the sample mean, tα/2 is the critical value for the t-distribution with (n-1) degrees of freedom and α = 0.05, s is the sample standard deviation, and n is the sample size.

The test statistic for the hypothesis test will change. The formula for the t-test statistic is:

t = (X - μ) / (s/√n)

where μ is the hypothesized population mean (in this case, 70). As the sample size increases from 50 to 100, the standard error of the mean (s/√n) will decrease, which means the t-test statistic will increase in absolute value. The p-value will decrease because the larger sample size will make it easier to reject the null hypothesis.

If the null hypothesis is rejected with a p-value less than 0.05, the conclusion will be the same as before: there is evidence to suggest that the mean score of all oenology students is greater than 70. However, if the p-value is greater than 0.05, the conclusion will change to: there is insufficient evidence to suggest that the mean score of all oenology students is greater than 70.

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--The complete question is, A university offers an introductory course in oenology, the study of wine. Last year, a random sample of 50 students enrolled in the course were tested on their knowledge of wine, and the sample mean was found to be 72.5 with a standard deviation of 6.2. This year, the number of students enrolled in the course has increased to 100. Keeping all other numerical values the same, answer the following:

How will this change impact the 95% confidence interval for the mean score of all oenology students? Specifically, how will the width of the interval change, and will the conclusion of the interval estimate still be the same?

How will this change impact the hypothesis test to determine if the mean score of all oenology students is greater than 70? Specifically, how will the test statistic, p-value, and conclusion change?--

From the information provided in this question, it is not possible to accurately determine the proportion of winning actresses who were between 30 and 40 years old when they won the Oscar or the shape of the distribution.

The histogram only provides the frequencies (proportions) of actresses at different age ranges (e.g. 0.39, 0.40, 0.41, 0.45), but it does not provide information about the actual ages or the number of actresses.

In order to determine the proportion of winning actresses within a specific age range, additional information such as the number of actresses in each age group or a plot of the actual ages would be necessary. Similarly, the shape of the distribution cannot be determined accurately based on the information provided, as the histogram only provides the frequencies.

Therefore, the information provided is not sufficient to answer the questions asked.

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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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Profitability index is 1.387. Thus, the correct option is (c) 1.387.

The formula for calculating the profitability index is:

P.I = PV of Future Cash Flows / Initial Investment

Where,

P.I is the profitability index

PV is the present value of future cash flows

The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.

The present value of cash flows can be calculated using the formula:

PV = CF / (1 + r)ⁿ

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

n is the number of periods

For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.

Substituting the values, we get:

PV = 2.85 / (1 + 0.11)¹ = $2.56 million

To calculate the present value of all future cash flows, we can use the formula:

PV = CF / (r - g)

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

g is the constant growth rate

For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.

Substituting the values, we get:

PV = 2.85 / (0.11 - 0.0385) = $39.90 million

The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.

PV of future cash flows = $39.90 million + $2.56 million = $42.46 million

Profitability index (P.I) = PV of future cash flows / Initial investment

= 42.46 / 30

= 1.387

Therefore, the correct option is (c) 1.387.

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Answer:

3/5

Step-by-step explanation:

put into fraction form:  21/35

21/35 (divide by 7/7)

3/5

Answer:

We just have to make the ratio into a fraction and simplify:

\(21:35=\frac{21}{35}=\frac{3}{5}\)

\(12:15=\frac{12}{15} =\frac{4}{5}\)

\(8:20=\frac{8}{20}=\frac{2}{5}\)

\(2:10=\frac{2}{10} =\frac{1}{5}\)

Answer:

A . m = 11/6

its going to be a

Answer:

42

Step-by-step explanation:

3 is equal to 42 degrees because when you have two parallel lines that have another line pass through both parallel lines the values of degrees are the same as the opposite side so:

42 = 3

2 = 4

and another way you could find the value of 3 is since there is a perpendicular line going through line p we know that since it is perpendicular that the angle between them is 90 so angle 3 is:

90 - (angle 4) = angle 3

You may use this method if you first solved for angle 4 or angle 2 and we can get angle 2 from:

180 - 42 = 138

we can do this because 42 + angle two should be 180 degrees since they are along line n.

Answer:

A laptop uses between 50 and 100 W/hour when it is being used, depending on the model. A laptop that is on for eight hours a day uses between 150 and 300 kWh and emits between 44 and 88 kg of CO2 per year. In stand-by mode the power consumption of both a desktop and a laptop falls to about a third.

Step-by-step explanation:

Answer:B i think if wrong im so sorry

Step-by-step explanation:

Answer:

B 75+25h

Step-by-step explanation:

$75 is the first charge for the service and is constant. $25(per hour) is not constant and changes as the time (hours) changes. That's why it has a h next to it, the h is the variable to hold the place for the hours that would be multiplied in the problem.