I really don't understand this

The expression of function g(x) is \(\sqrt{\frac {x - 1}2} + 3\)

The function is given as:

\(f(x) = \sqrt{x\)

When the function is stretched horizontally by a factor of 2, the rule is:

f'(x) = f(x/2)

So, we have:

\(f'(x) = \sqrt{\frac x2\)

When the function is shifted left by 1 unit, the rule is:

f"(x) = f(x + 1)

So, we have:

\(f"'(x) = \sqrt{\frac {x - 1}2\)

When the function is shifted up by 3 units, the rule is:

g(x) = f"(x) + 3

So, we have:

\(g(x) = \sqrt{\frac {x - 1}2} + 3\)

Hence, the expression of function g(x) is \(\sqrt{\frac {x - 1}2} + 3\)

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Answer: -1, 1.5, 3 1/12

Step-by-step explanation: I was tested on these type of questions

Answer:

Step-by-step explanation:

Give jamila's Mean earning = $24

let her ninth earning be x

we know that mean= (∑sumation of earnings)/number of earnings

\(24= \frac{15+20+ 10+ 12+ 20+ 16+ 18+ 25+x}{9}\)

\(24= \frac{136+x}{9} \\24*9=136+x\\216=136+x\\x=136-216\\x=80\)

Her ninth earning is $80

Answer:

y = 1/2x + 3/2

Step-by-step explanation:

Slope m = (y2-y1)/(x2-x1)

m = (4 - 5)/(5 - 7)

m = (-1)/(-2)

m = 1/2

Slope-intercept: y = mx + b

y = 1/2x + b

using (5,4)

4 = 1/2(5) + b

4 = 5/2 + b

b = 4 - 5/2 = 8/2 - 5/2 = 3/2

then y = 1/2x + 3/2

The interest rate is 10.89%

1. Given,С = 200+ 0.69YI = 80 - 1,000rG = 20NX = 850.09ee = 90M = 115YL = 0.5Y - 200rY = 300Using the equation for National Saving, we get,National Saving = Investment + Government Saving + Net exports(S – I) + (T – G) + (X – M) = 0T = 0, hence (S – I) + (X – M) = 0(1 – t)Y – C – (I + G) + NX = 0Where t = 0, we get,0.5Y – 200r – 200 – 69/100Y + 80 – 850.09e = 0.5Y – 200r – 970.09e – 120 = 0.5Y – 200r – 970.09e – 120 = 0Therefore, Y = 325.0454 - 0.5r + 4.851eThis is the equation for the IS curve.On the other hand, the equation for the LM curve is given by,Ms / P = YL(i)115 / 1 = 0.5Y - 200rTherefore, Y = 400 + 400rThis is the equation for the LM curve.The interest rate is given by the point of intersection of the two curves. Equating Y from both equations, we get,325.0454 - 0.5r + 4.851e = 400 + 400rSolving the above equation for r, we get r = 0.1089 or 10.89%..

The size of the nominal money supply in the new short-run equilibrium is 121.07.

2. From the equilibrium found in Question (1), if the foreign interest rate increases by 0.05, the domestic output will change in two ways, depending on the flexibility of the nominal exchange rate.Flexible Exchange Rates:In this case, the nominal exchange rate will depreciate (e decreases). This will increase net exports and shift the IS curve to the right. The new equilibrium will be at a higher level of output.Real exchange rate will fall.Increase in output will be higher compared to the fixed exchange rate case.Fixed Exchange Rates:In this case, the nominal exchange rate will remain constant. Therefore, there will be no effect on net exports.IS curve will not shift.Real exchange rate will remain unchanged.Increase in output will be less compared to the flexible exchange rate case.The nominal money supply in the new short-run equilibrium will change in the case of Fixed Exchange Rates. In the fixed exchange rate case, the domestic interest rate will increase, leading to an inflow of capital. This will increase the money supply and the LM curve will shift downwards until it intersects the IS curve at the new equilibrium point.

Real exchange rate will remain unchanged.

3. From the equilibrium found in Question (1), if the foreign interest rate increases by 0.05, the domestic output will change in two ways, depending on the flexibility of the nominal exchange rate. Flexible Exchange Rates :In this case, the nominal exchange rate will depreciate (e decreases). This will increase net exports and shift the IS curve to the right. The new equilibrium will be at a higher level of output .Real exchange rate will fall. Value of the real exchange rate in the new equilibrium is 0.891.Fixed Exchange Rates: In this case, the nominal exchange rate will remain constant. Therefore, there will be no effect on net exports.IS curve will not shift.

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The point estimate for the average time a commercial flight of under 2 hours is late is 2.33 minutes. The 95% confidence interval is 2.33 minutes ± 2.70 minutes, or approximately (-0.37, 5.03) minutes.

The point estimate for the average time a commercial flight of under 2 hours is late is 2.33 minutes, which is the sample average obtained from the survey of 76 flights. To construct a 95% confidence interval, we'll use the formula:

CI = sample mean ± (Z * σ / √n)

where CI is the confidence interval, the sample mean (2.33 minutes), Z is the Z-score for a 95% confidence level (1.96), σ is the population standard deviation (12 minutes), and n is the sample size (76 flights).

CI = 2.33 ± (1.96 * 12 / √76)
CI = 2.33 ± (1.96 * 12 / 8.72)
CI = 2.33 ± (1.96 * 1.38)
CI = 2.33 ± 2.70

The 95% confidence interval for the average time that a commercial flight of under 2 hours is late is 2.33 minutes ± 2.70 minutes, or approximately (-0.37, 5.03) minutes. This means that we are 95% confident that the true average late time for flights of under 2 hours is between -0.37 minutes (early) and 5.03 minutes (late).

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Complete Question:

A survey of 76 commercial airline flights of under 2 hours resulted in a sample average late time for a flight of 2.55 minutes. The population standard deviation was 12 minutes. Construct a 95% confidence interval for the average time that a commercial flight of under 2 hours is late. What is the point estimate? What does the interval tell about whether the average flight is late?

Answer:

Yes

Step-by-step explanation:

You are using the x values once, so it will pass the vertical line test.

{(3,4), (5,0), (2,4), (-5,-5)} the relation is a function.

A relation is a function if it has only One y-value for each x-value.

The relation is {(3,4), (5,0), (2,4), (-5,-5)}

Relation on a set may, or may not, hold between two given set members.

Three comma four comma five comma zero two comma four comma minus five comma minus five.

{(3,4), (5,0), (2,4), (-5,-5)} the relation is a function, because in (x,y) the x terms are not repeated.

For every y value there is a unique x value.

Hence, {(3,4), (5,0), (2,4), (-5,-5)} the relation is a function.

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Answer: 14, 16, 13,3.5, 50

Step-by-step explanation:

Basically, what you do is find half of each number in the number of customers column and yeah that's it.

Answer:

y=-x+5

Step-by-step explanation:

Hope this helps!

And can I have brainliest!

Answer:

156

Step-by-step explanation:

1) The formula for finding the sum of interior angles of an n-gon is 180(n-2)

2) Plug in 15 for n

180(15-2)

3) Solve

180(15-2)

180(13)

2340

4) There are 15 angles in a 15-gon

5) Divide sum of interior angles by number of interior angles

2340/15 = 156

6) So, the answer is 156 degrees

Answer:

Reflection of house that types of symmetry ate created from the above photo.

Answer:

y =  

-1x/2 – 31/2

Step-by-step explanation:

The car's velocity after 15 seconds is 60.3 m/s.

The linear regression equation obtained by fitting the data using technology is:

The approximate velocity at time = 0 and x = 0 is as follows:

After 15 seconds, the velocity is:

Therefore, the car's velocity after 15 seconds is 60.3 m/s.

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The required white effective interest rate is 0.71% more than his nominal interest rate.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,

White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent

So

Difference in interest = 14.33%-13.62%
                                    =0.71%

Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.

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Answer:

x = -1

Step-by-step explanation:

2x+10 = 8

2x = -2

x = -1

Answer:

The correct range is thus;

(-6,-12,-9)

Step-by-step explanation:

Here, we want to get the range given the domain

we simply make a substitution of the domain in the equation so as to get the range

So let us substitute the value of the domain one after the other

f(3) is 3-9 = -6

f(-3) = -3-9 = -12

f(0) = 0-9 = -9

Answer:

Quan usually has 4 clients

Step-by-step explanation:

Working backward at math is to start with the final situation and work back one step at a time to get to the beginning.

We know Quan makes $104 a day, including his $72 fixed rate plus an $8 rate per client.

Subtracting the total and the fixed rate, we can find the variable part of his earnings.

$104 - $72 = $32

Quan usually makes $32 for the variable rate at $8 per client, thus he usually has $32 / $8 =4 clients.

Quan usually has 4 clients

Mean reversion is the tendency of prices or variables to return to their average level. The mean-reverting level, x1, is calculated using statistical methods and indicates potential future decreases or increases.

Mean reversion refers to the tendency of asset prices or economic variables to move back to their average or mean level over time. The mean-reverting level, x1, for a time series can be calculated using statistical methods like moving averages or exponential smoothing. These techniques estimate the average value or trend of the data.



The interpretation of x1 depends on the context. If the current value is above x1, it suggests a potential future decrease, reverting back to x1. Conversely, if the current value is below x1, it indicates a potential future increase, also reverting back to x1. The deviation from x1 provides insights into the strength or speed of the mean reversion process.



Therefore, Mean reversion is the tendency of prices or variables to return to their average level. The mean-reverting level, x1, is calculated using statistical methods and indicates potential future decreases or increases.

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a) Option A, A x2 statistic provides strong evidence in favor alternative hypothesis if its value is a large positive number.

b) Option B, The null hypothesis that sex and personal goals are not related vs. the alternative hypothesis that sex and personal goals are related.

c) Option B, The variables considered in a chi-squared test used to evaluate a contingency table B. are categorical.

(a) A x2 statistic provides strong evidence in favor of the alternative hypothesis if its value is a large positive number. The x2 statistic is used in hypothesis testing to determine whether there is a significant difference between observed and expected frequencies. A large positive value indicates that the observed frequencies are significantly different from the expected frequencies, which supports the alternative hypothesis.

(b) The hypotheses being tested in a chi-squared test on a contingency table are the null hypothesis that sex and personal goals are not related vs. the alternative hypothesis that sex and personal goals are related. This test determines whether there is a significant association between two categorical variables.

(c) The variables considered in a chi-squared test used to evaluate a contingency table are categorical. These variables cannot be averaged or assumed to be normally distributed. The chi-squared test is used to analyze the relationship between two or more categorical variables, where each variable has a discrete set of categories.

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Answer:

8.45

Step-by-step explanation:

Find the sum by adding the two numbers together:

1.57 + 6.88

= 8.45

So, the sum is 8.45

Answer:

The other two vertices are (4 , -2) and (4 , 2)

Answer:

The answer is (B)

Step-by-step explanation:

Max is drawing plans for a garden, measured in feet, which is shown below on the coordinate plane. Max has two vertices of the garden at points (Negative 1, 2) and (Negative 1, Negative 2).

On a coordinate plane, points (negative 1, 2) and (negative 1, negative 2) are plotted.

At which points should Max have the other two vertices in order to make the area of his garden 20 square feet?

(2, Negative 2) and (2, 2)

✅(4, Negative 2) and (4, 2)

(3, Negative 2) and (3, 2)

(5, Negative 2) and (5, 2)

Downsizing refers to the process of reducing the size and workforce of a company to cut costs, increase efficiency, or adapt to changing market conditions. It involves eliminating positions, reducing staff numbers, or even closing down certain business units or branches.

Downsizing can occur for various reasons, such as financial difficulties, mergers and acquisitions, technological advancements, or strategic reorganization. Companies often assess their operational costs and decide to downsize to improve their financial performance.

During the downsizing process, companies may calculate the potential cost savings by considering factors such as salaries, benefits, severance packages, and operational expenses. For example, if a company decides to eliminate 100 positions with an average salary of $50,000 per year, it could result in annual savings of $5 million.

While downsizing can help companies achieve short-term cost reductions, it often has significant implications for the affected employees, including layoffs, reduced morale, and increased workload for remaining staff. It is crucial for organizations to handle the downsizing process with sensitivity and transparency, providing support to affected employees and communicating the rationale behind the decisions.

It is important to note that downsizing should not be seen as a long-term solution, but rather as a strategic measure to address specific challenges. Companies should also explore alternatives to downsizing, such as retraining and redeploying employees, implementing productivity improvements, or seeking new business opportunities, to ensure sustainable growth and success in the long run.

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The law firm assigned 10 associates and 8 partners to the case.

To determine the number of associates and partners assigned to the case, let's use algebra.

Let's assume the number of associates assigned to the case is represented by "A" and the number of partners assigned to the case is represented by "P."

From the given information, we know that the daily rate charged to the client for each associate is $500 and the daily rate for each partner is $1500. Additionally, we are told that the law firm assigned 2 more associates than partners to the case and charged the client $17000 per day for these lawyers' services.

Based on this information, we can set up two equations:

1. The total cost per day is the sum of the costs for associates and partners:
  500A + 1500P = 17000

2. The number of associates is 2 more than the number of partners:
  A = P + 2

To solve this system of equations, we can substitute the value of A from the second equation into the first equation:

500(P + 2) + 1500P = 17000

Simplifying this equation, we get:

500P + 1000 + 1500P = 17000
2000P + 1000 = 17000
2000P = 16000
P = 8

Now that we have the value of P, we can substitute it back into the second equation to find A:

A = 8 + 2
A = 10

Therefore, the law firm assigned 10 associates and 8 partners to the case.

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A linear function has an equation of y = mx+b where m = slope and b = y-intercept. The function also has a line graph. By a line graph, the graph must have slope. That means the slope must not equal to 0 or undefined to be a linear function.

Further Explanation

A linear function has both domain and range as set of all real numbers because you are able to solve for x-term when inputting any y-value or solve for y-term when inputting any x-value. We can also find the x-intercept by substituting the value of y to 0 and basically solve for x-term. If we want to know the y-intercept, we can substitute x-term to 0 and solve for y. But most people would only look at b-term from y = mx+b because b-term is the y-intercept of function.

From your question, the function is indeed a linear function. The m-term and b-term both are from y = mx+b where m = slope and b = y-intercept.

Therefore, from y=6x+2. The m-value would be 6 and b-value would be 2

Positive correlation means that both variables tend to increase (or decrease) together. Thus, Option A is the answer.

Positive correlation refers to a relationship between two variables in which an increase in one variable is associated with an increase in the other variable. Negative correlation, on the other hand, refers to a relationship in which an increase in one variable is associated with a decrease in the other variable. No correlation means that there is no relationship between the two variables.

To determine the strength of a correlation, we can use a statistical measure called the correlation coefficient, which ranges from -1 to 1. A correlation coefficient of 1 indicates a perfect positive correlation, a correlation coefficient of -1 indicates a perfect negative correlation, and a correlation coefficient of 0 indicates no correlation.

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Answer:

x=40

Step-by-step explanation:

a triangle equals 180⁰ so of you subtract 100 you get 80

80÷2=40

The sample space given is {1h, 2h, 3h, 4h, 1t, 3t}. We are asked to find the probability of rolling a number greater than 2 and flipping heads.

To find the probability, we need to determine the number of favorable outcomes (the outcomes that satisfy the given conditions) and the total number of possible outcomes.

Favorable outcomes:
From the sample space, the favorable outcomes are {3h, 4h} as these outcomes satisfy the condition of rolling a number greater than 2 and flipping heads.

Total number of possible outcomes:
From the sample space, the total number of outcomes is 6.

Probability:
Probability is defined as the number of favorable outcomes divided by the total number of possible outcomes.

Number of favorable outcomes = 2
Total number of possible outcomes = 6

Therefore, the probability of rolling a number greater than 2 and flipping heads is 2/6, which can be simplified to 1/3.

To find the probability, we first determine the number of favorable outcomes, which are the outcomes that satisfy the given conditions. In this case, the favorable outcomes are {3h, 4h} because they correspond to rolling a number greater than 2 and flipping heads. The total number of possible outcomes is 6, as there are 6 elements in the sample space. Therefore, the probability is calculated by dividing the number of favorable outcomes (2) by the total number of possible outcomes (6), resulting in 1/3.

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The quadratic function that best matches the graph is given as follows:

y = -0.2(x + 3)² + 5.

The quadratic function of vertex(h,k) is given by the rule presented as follows:

y = a(x - h)² + k

In which:

The coordinates of the vertex for this problem are given as follows:

(-3, 5).

Hence:

y = a(x + 3)² + 5

When x = 0, y = 3, hence the leading coefficient a is obtained as follows:

3 = 9a + 5

9a = -2

a = -0.2. (rounded).

Hence the function is:

y = -0.2(x + 3)² + 5.

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