When Mac was asked to duplicate Angle TAR, he used his protractor to measure angle TAR and then to make Angle MAC. Is his construction correct? Explain.

Only for the second pair of functions, f(n) = n and g(n) = 2log2(n), the expression f(n) # 2(g(n)) simplifies to n^2. For the other pairs, the operation # is not defined, so we cannot evaluate the expression.

Let's evaluate the expression f(n) # 2(g(n)) for each of the given functions:

f(n) = n, g(n) = log2(n):

f(n) # 2(g(n)) = n # 2(log2(n))

Since the operation # is not defined, we cannot evaluate the expression.

f(n) = n, g(n) = 2log2(n):

f(n) # 2(g(n)) = n # 2(2log2(n))

= n # 2(log2(n^2))

= n^(2log2(n))

The expression simplifies to n^(log2(n^2)) = n^2.

f(n) = 3, g(n) = n:

f(n) # 2(g(n)) = 3 # 2(n)

Since the operation # is not defined, we cannot evaluate the expression.

f(n) = nlog(n), g(n) = nlog2(5n):

f(n) # 2(g(n)) = nlog(n) # 2(nlog2(5n))

Again, since the operation # is not defined, we cannot evaluate the expression.

In summary, only for the second pair of functions, f(n) = n and g(n) = 2log2(n), the expression f(n) # 2(g(n)) simplifies to n^2. For the other pairs, the operation # is not defined, so we cannot evaluate the expression.

Learn more about  function from

https://brainly.com/question/11624077

#SPJ11

Answer:

1st one 2nd one and 4th one

Step-by-step explanation:

your looking for the ones that have nothing in common

Answer:

no

Step-by-step explanation:

Answer:

D) x=6

Step-by-step explanation:

8/2=4

4²+x²=(√52)²

16+x²=52

x²=52-16

x²=36

x=√36

x=6

Answer:

its 32%

Step-by-step explanation:

The percentage increase in the price of the car is 32%.

Given,

Last month, the online price of a powered ride-on car was $250.

This month, the online price is $330.

We need to find what is the percentage of the increase in the price of the car.

Round the percent to the nearest tenth if necessary.

The formula used to find the percentage increase is given by:

= [(Final amount - Initial amount) / Initial amount] x 100

We have,

Initial price = $250

Final price = $330

The percentage increase:

= [($330 - $250) / $250] x 100

= [80 / 250] x 100

= [8/25] x 100

= 8 x 4

= 32%

This means a 32% increase in the price of the car.

Thus the percentage increase in the price of the car is 32%.

Learn more about percentage increase here:

https://brainly.com/question/22624454

#SPJ2

Answer: 9x - 485/81

------------------------------

Answer:

The rope is 12.81 meters long.

Step-by-step explanation:

What this question, or word problem, is saying here is the lengths of a triangle's sides. The height is 10 meters, and the width is 8 meters.

We need to use the pythagorean theorem in order to find the length of the rope that is connected to the hook.

Pythagorean theorem: [tex]a^{2} +b^{2} = c^{2}[/tex]

Step 1- Insert the known lengths.

8^2+10^2= c^2

Step 2- Multiply to simplify.

(8×8)+(10×10)= c^2

64+100= c^2

Step 3- Add.

164= c^2

Step 4- Find the square root.

[tex]\sqrt{164}[/tex][tex]=\sqrt{c^{2} }[/tex]

c= 12.8062484749

c≈12.81

Hope this helps! :)

A mathematical LP model can be developed. The objective is to maximize the total yield considering options available: insured savings, 6-year government bonds, and 9-year municipal bonds.

Let's denote the amount to be invested in insured savings as x1, the amount in 6-year government bonds as x2, and the amount in 9-year municipal bonds as x3. The LP model can be formulated as follows: Maximize: 0.075x1 + 0.079x2 + 0.085x3 (total yield) Subject to: x1 + x2 + x3 = Total amount available for investment

x2 ≤ 0.98(Total amount available for investment) (constraint on government bonds) x3 ≤ 1.02(Total amount available for investment) (constraint on municipal bonds) In this model, the objective function represents the total yield obtained from the investments.

The first constraint ensures that the total amount invested across the three options does not exceed the available funds. The second and third constraints set the upper limits on the amounts invested in government bonds and municipal bonds based on their respective market prices.

Learn more about objective function here:

https://brainly.com/question/11206462

#SPJ11

To develop a mathematical LP model for Joe and Jill's investment decision.

We need to determine the optimal allocation of their investment amounts to maximize the total return while considering the constraints and options available. Let's define the decision variables and constraints:

Decision Variables:

Let:

x1 = Amount invested in insured savings (in dollars)

x2 = Amount invested in 6-year government bonds (in dollars)

x3 = Amount invested in 9-year municipal bonds (in dollars)

Objective Function:

Maximize the total return on investment:

Total Return = 0.075 * x1 + 0.079 * x2 + 0.085 * x3

Constraints:

The total investment amount should be equal to the sum of the individual investments:

x1 + x2 + x3 = Total Investment Amount

Constraints on the investment amounts for each option:

x1 >= 0 (Non-negativity constraint for insured savings)

x2 >= 0 (Non-negativity constraint for government bonds)

x3 >= 0 (Non-negativity constraint for municipal bonds)

Constraint on the market price of government bonds:

0.98 * x2 <= x1 (The market value of government bonds should be less than or equal to the amount invested in insured savings)

Constraint on the market price of municipal bonds:

1.02 * x3 <= x1 (The market value of municipal bonds should be less than or equal to the amount invested in insured savings)

With the decision variables and constraints defined, we can formulate the LP model as follows:

Maximize:

Total Return = 0.075 * x1 + 0.079 * x2 + 0.085 * x3

Subject to:

x1 + x2 + x3 = Total Investment Amount

x1 >= 0

x2 >= 0

x3 >= 0

0.98 * x2 <= x1

1.02 * x3 <= x1

This LP model will help determine the optimal allocation of Joe and Jill's investment amounts to maximize their total return while considering the available options and constraints. The specific value for the Total Investment Amount will need to be provided to obtain the optimal solution.

Learn more about variables here:

https://brainly.com/question/29583350

#SPJ11

Answer:

28s + 40

Step-by-step explanation:

Distribute 4 to 7s and 10. You will get 28s and 40.

Answer:

28s+14

42s

Step-by-step explanation:

distributive property

Answer:

47 feet

Step-by-step explanation:

Answer:

f-1 (the -1 is the power of f') (x)=3x-6

Step-by-step explanation:

f (x) = 1/3x+2 use substitution

y = 1/3x +2 Interchange the variables

x = 1/3y +2 swap the sides

1/3y +2 = x multiply both sides

y + 6 =3x Move the constant to the right

y = 3x - 6 Use substitution

Answer: h(x)=3x-6

Step-by-step explanation:

To find the largest four-digit value of t such that the expression is an integer, we need to set up an equation and solve for t.

Let's denote the given expression as x:

x = √(t - √(t - √(t - √(t - ...)))

To simplify the expression, we notice that the inner square root can be represented by x itself. So we can rewrite the equation as:

x = √(t - x)

Squaring both sides to eliminate the square root:

x^2 = t - x

Rearranging the equation:

x^2 + x - t = 0

To find the largest four-digit value of t, we can iterate through the values of t starting from 9999 and solve the quadratic equation for x. We are looking for a positive integer solution for x. Once we find the largest value of t that satisfies this condition, we have our answer.

By solving the quadratic equation for different values of t, the largest four-digit value of t that satisfies the condition is 9985.

For such more question on quadratic

https://brainly.com/question/1214333

#SPJ8

Answer:

7. $3450

8.  $10300

Hope this helps.

Answer:

the square root of 7, 2.8 repeating, pi, square root of 17, 4.6

Step-by-step explanation:

The numbers in the least to greatest order as √7, 2.8 , π, √17, 4.6.

Descending order is defined as when numbers (or other items) are arranged from the largest numbers to the least numbers, it is said to be in descending order.

Ascending order is defined as when numbers (or other items) are arranged from the least numbers to the largest numbers, it is said to be in ascending order.

we have the given numbers as

the square root of 7, 2.8 repeating, pi, square root of 17, 4.6

√7 = 2.645

π = 3.14  

√17 = 4.123

Here the least numbers to the largest numbers, it is said to be in ascending order.

√7, 2.8 , π, √17, 4.6

Hence, the numbers in increasing order as √7, 2.8 , π, √17, 4.6.

Learn more about the descending order here:

brainly.com/question/233644

#SPJ2

Answer:

x < 25

Step-by-step explanation:

The correct option is option C: x<23

Inequality is the non-equal relation between two statements showing relations like greater than, greater than equals to, lesser than, lesser than equals to, etc

Here given that there is only $32 in hand to spend.

And the bowling game costs= $11

shoe rental costs =$3.75

each arcade game costs $0.75

let's assume no. of arcade games she can play =x

x arcade games will cost to play=$0.75*x=0.75x

so that the total cost should not exceed $32 i.e. total cost is less than $32.

The inequality expression will be

Total cost to play < $32

⇒the bowling game cost + shoe rental cost + arcade game playing cost< $32

⇒ $11+ $3.75+ $0.75x< $32

solving this inequality,

⇒ $14.75+ $0.75x< $32

⇒ $0.75x< $32- $14.75

⇒$0.75x< $17.25

⇒x<17.25/0.75

⇒x<23

Therefore she can play no. of arcade games which should be less than 23.

Therefore The correct option is option C: x<23

Learn more about inequality

here: https://brainly.com/question/11613554

#SPJ2

To test a trading rule for statistically and economically significant alpha, follow these steps: gather data, formulate a hypothesis, measure performance, conduct statistical tests, assess economic significance, and perform robustness testing.


To determine if a trading rule generates a statistically and economically significant alpha, several steps can be followed. Alpha refers to the excess return generated by a trading strategy beyond what would be expected from market movements. Here's a summary of the testing process:

To test a trading rule's alpha, you can follow these steps:

1. Data Preparation: Gather historical price data for the assets being traded and any relevant market indices. Ensure the data is clean, consistent, and properly adjusted for dividends and corporate actions.

2. Hypothesis Formulation: Clearly define the trading rule being tested, specifying the entry and exit criteria. Formulate a null hypothesis assuming no alpha exists and an alternative hypothesis suggesting the presence of statistically and economically significant alpha.

3. Performance Measurement: Apply the trading rule to the historical price data and calculate the strategy's performance metrics, including returns, volatility, and risk-adjusted measures like the Sharpe ratio or information ratio.

4. Statistical Significance: Conduct hypothesis testing using appropriate statistical methods such as t-tests or regression analysis to determine if the strategy's excess returns are statistically significant. This helps assess whether the alpha is due to skill or randomness.

5. Economic Significance: Evaluate the economic significance of the alpha by considering transaction costs, liquidity constraints, and realistic trading scenarios. Adjust the returns for these factors to assess if the strategy generates meaningful profits after accounting for expenses.

6. Robustness Testing: Perform sensitivity analysis by varying key parameters of the trading rule and assessing the stability and consistency of the alpha. This helps determine if the strategy's performance is robust across different market conditions and time periods.

By following these steps, you can systematically evaluate a trading rule's alpha generation potential. Remember, it's important to consider statistical significance, economic significance, and robustness to draw meaningful conclusions about a trading strategy's effectiveness.

To know more about testing trading rules, refer here:

https://brainly.com/question/32479502#

#SPJ11

Answer:

|-58| = 58

Step-by-step explanation:

The distance from 58 to 0 is still 58, regardless of it being negative

We can see that there is at least one row where all premises are true (row 7), but the conclusion is false. Therefore, the argument is invalid.

To construct a symbolic model of the argument, let's define the following symbols:

P: Jayco qualifies as a small business.

Q: Jayco has sales that are not large enough to influence its environment.

R: Jayco is privately owned by a small group of individuals.

Now we can represent the statements in symbolic form:

Premise 1: P ≡ (Q • R)

Premise 2: ~P

Conclusion: ~R

To determine if the argument is valid or invalid, we can construct a truth table:

| P | Q | R | P ≡ (Q • R) | ~P | ~R |

|---|---|---|-------------|----|----|

| T | T | T |      T      |  F |  F |

| T | T | F |      F      |  F |  T |

| T | F | T |      T      |  F |  F |

| T | F | F |      F      |  F |  T |

| F | T | T |      F      |  T |  F |

| F | T | F |      T      |  T |  T |

| F | F | T |      F      |  T |  F |

| F | F | F |      T      |  T |  T |

From the truth table, we can see that there is at least one row where all premises are true (row 7), but the conclusion is false. Therefore, the argument is invalid.

Learn more about argument from

https://brainly.com/question/29980980

#SPJ11

A. Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.

B. The recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.

(a) If Manager B always truthfully reports the state of the economy (s = 0.7), Manager A would send a recommendation that minimizes their disutility Ua. In this case, Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.

(b) In a Nash equilibrium, both managers strategically make their recommendations based on their own utility. Manager A wants to minimize their disutility Ua, which increases as the decision deviates from 0.4. Manager B wants to minimize their disutility UB, which increases as the decision deviates from 0.7.

To find the Nash equilibrium, we need to consider the recommendations made by both managers simultaneously. Let's denote the recommendations as rA (from Manager A) and rB (from Manager B). The principal's decision, d, would be the average of the recommendations, so d = (rA + rB) / 2.

Given that both managers strategically choose their recommendations, they will aim to minimize their disutility. In this case, Manager A would recommend a decision of 0.4 (as it minimizes Ua), and Manager B would recommend a decision of 0.7 (as it minimizes UB). Therefore, the recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.

Learn more about   Nash equilibrium  from

https://brainly.com/question/34120544

#SPJ11

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{4}{3}[/tex] x + [tex]\frac{5}{3}[/tex] ← is in slope- intercept form

with slope m = [tex]\frac{4}{3}[/tex]

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 8 = [tex]\frac{4}{3}[/tex] (x + 6) ← is in point- slope form

with slope m = [tex]\frac{4}{3}[/tex]

Parallel lines have equal slopes, thus

The 2 given lines are Parallel

The answer is:

B- Distinct Parallel Lines (DPL)

Answer:

you need to simplify it then you can say that he had marbles and then lost __ then got ___

Answer:

is this a test?

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

£ 144

Step-by-step explanation:

the formula would be :

w = n * r

finding the wages for 20 hours at a rate of 7.20 hours can be solved like this:

w = n *r

w = 7.20 * 20

w =£ 144

Answer

12/13

Step-by-step explanation:

1/2+1/3+1/4=?

6/12+4/12+3/12=?

13/12

Reciprocal is 12/13

12/13 is your answer.

Answer:

x > -3

Step-by-step explanation:

Step 1: Write inequality

-5x + 6 < 21

Step 2: Solve for x

Answer: m=-14

Step-by-step explanation: Use the slope-intercept form y=mx+b to find the slope m.

Graph down below.

I hope this helps you out. If not, I am so sorry.

Answer:

The mass is 7600 g

Step-by-step explanation:

0.2 L = 200 mL

density = mass/volume

38= x/ 200

x= 7600 g

Answer: The  answer Is in the pdf.

Thank you.

Step-by-step explanation:

Answer:

1.2

Step-by-step explanation:

I did the teat and it was correct on

Answer:

(1) 1.2 inches