Evaluate (-2)^6 + (-3)^2

Answer:

selling treasury securities

Step-by-step explanation:

Answer:

B. Selling treasury securities

Step-by-step explanation:

Just took it on A P E X

The functions that are exponential are f(x) = 4(1/4)ˣ , g(x) = 14(4)ˣ and k(x) = 6(5.49)ˣ , the options that are correct are (a) , (b) and (e) .

In the question ,

five function are given ,

we need to select the functions that are exponential ,

We know that , Exponential function is a function whose value is a constant raised to power of a variable ,

For Example , f(x) = cˣ, where c is any constant value and x is a variable.

Part(a) ,

f(x) = 4(1/4)ˣ

Since , x is in the exponent , hence it is an exponential function .

Part(b) ,

g(x) = 14(4)ˣ

Since , x is in the exponent , hence it is an exponential function .

Part(c) ,

h(x) = 10x⁵

Since , x is present in the base , hence , it is not an exponential function .

Part(d) ,

j(x) = −9x⁴

Since , x is present in the base , hence ,it is not an exponential function .

Part(e) ,

k(x) = 6(5.49)ˣ

Since , x is in the exponent , hence it is an exponential function .

Therefore , The exponential functions are (a) f(x) = 4(1/4)ˣ  , (b) g(x) = 14(4)ˣ   and  (e) k(x) = 6(5.49)ˣ  .

The given question is incomplete , the complete question is

which of the following are exponential functions? select all correct answers.

(a) f(x) = 4(1/4)ˣ

(b) g(x) = 14(4)ˣ

(c) h(x) = 10x⁵

(d) j(x) = −9x⁴

(e) k(x) = 6(5.49)ˣ

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Answer:

9, 81, 144

Step-by-step explanation:

Answer:

60% decrease

Step-by-step explanation:

you would do 5-2=3 ,

5/3

and then multiply by 100

Answer:

? = 42

Step-by-step explanation:

24/8 = ?/14

cross mult

24/8 = x/14

336=8x

x = 42

Answer:

n=1/8

Step-by-step explanation:

-8n+34=6(5+4n)

We move all terms to the left:

-8n+34-(6(5+4n))=0

We add all the numbers together, and all the variables

-8n-(6(4n+5))+34=0

We calculate terms in parentheses: -(6(4n+5)), so:

6(4n+5)

We multiply parentheses

24n+30

Back to the equation:

-(24n+30)

We get rid of parentheses

-8n-24n-30+34=0

We add all the numbers together, and all the variables

-32n+4=0

We move all terms containing n to the left, all other terms to the right

-32n=-4

n=-4/-32

n=1/8

Answer:

n= 0.125 or 1/8

Step-by-step explanation:

Distrubute 6 into (5+4n). It should give you 30+24n.

The equation should now look like this: -8n+34=30+24n.

Swap -8n with 30, giving -30+34=8n+24n. Add the numbers and the pronumerals together.

Now it will look like 4=32n. Divide the numbers, but unfortunately the number is small so the answer will have to be a decimal or a fraction. So it's 0.125 or 1/8.

If I didn't explain everything or something is wrong, please comment. I just signed up, so it's my first time using this.

Answer: a+b=b+a is a clear example of commutative property.

Step-by-step explanation: The commutative property applies to addition and multiplication. The property states that terms can “commute,” or move locations, and the result will not be affected. This is expressed as a+b=b+a for addition, and a×b=b×a for multiplication. The commutative property does not apply to subtraction or division.

In the collection of data, there are several important constants, also known as "controlled variables," that need to be considered. These constants are factors that remain unchanged throughout an experiment or data collection process, allowing for reliable and accurate results.

Here are three examples of important constants:

1. Time: Time is a crucial constant in data collection because it ensures that all measurements or observations are made consistently over a specific period. By controlling the time variable, researchers can ensure that their data is not influenced by external factors that may vary with time, such as weather conditions or human behavior.

2. Temperature: Temperature is another important constant in data collection. By controlling the temperature, researchers can prevent its effects on the outcome of an experiment or observation. For example, when conducting a chemical reaction, keeping the temperature constant ensures that any changes in the reaction are due to the variables being investigated rather than temperature fluctuations.

3. Light Intensity: Light intensity is often a controlled variable in experiments or observations involving photosensitive materials or living organisms. By keeping the light intensity constant, researchers can eliminate any potential effects of varying light levels on their data. For instance, when studying plant growth, maintaining a constant light intensity ensures that any observed differences are not due to variations in light availability.

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This means that if the average weight of the men in the elevator is more than 180 lbs, the elevator would be overloaded.

To determine the average weight beyond which the elevator would be considered overloaded, we can follow these steps:
Find the total weight limit for 33 occupants: 5940 lbs.

Divide the total weight limit by the number of occupants to find the average weight per person: 5940 / 33 = 180 lbs.
Now, we need to find the difference between the average weight per person (180 lbs) and the mean weight of the population (166 lbs): 180 - 166 = 14 lbs.
Since we have the difference and the standard deviation (26 lbs), we can now calculate the Z-score:

Z = (difference) / (standard deviation) = 14 / 26 ≈ 0.54.
The average weight beyond which the elevator would be considered overloaded is 180 lbs.

The corresponding Z-score for this weight is approximately 0.54.

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\(\huge {\colorbox {black}{\color{magenta}{✿Aиѕωє༉}}} \)

\(\huge\sf\underline{\underline{\red{❥︎ Thanks}}}\)

Which quadrilaterals always have congruent diagonals?

\(\hookrightarrow\) \(\bold{rectangle }\)

\(\rightsquigarrow\) \(\bold{ square }\)

Recall the Central Limit Theorem.

The Central Limit Theorem says that no matter what the distribution of the population is, as long as the sample is “large,” meaning of size 30 or more, the sample mean is approximately normally distributed.

If the population is already normal, then any sample size will produce a normal sampling distribution.

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.

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3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.

3⁴ / 3³ = (3 × 3 × 3 × 3) / (3 × 3 × 3) = 3

This means that 3⁴ is 3 times larger than 3³.

5³ is 5 times larger than 5².

5³ / 5² = (5 × 5 × 5) / (5× 5) = 5

7¹⁰ is 49 times larger than 7⁸.

7¹⁰/ 7⁸ = 7² =49

17⁶ is 289 times larger than 17⁴.

17⁶ /17⁴ = 289

Hence, 3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.

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In the equation t(78) = 1.03, "p < .01" represents a statistical significance level or the probability of observing the obtained result due to chance alone.

In statistical hypothesis testing, the notation "p < .01" refers to the significance level or the probability threshold used to assess the statistical significance of a result.

In this case, it means that the obtained result, indicated by t(78) = 1.03, is statistically significant at a level of p < .01.

This implies that the likelihood of observing a result as extreme as or more extreme than the obtained result due to chance alone is less than 1%. In other words, the result is unlikely to occur by random variation alone and suggests that there may be a true effect or relationship in the population being studied.

The significance level helps researchers determine whether to accept or reject a null hypothesis based on the strength of evidence provided by the data.

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Zoe walks from her house to a bus stop that is 460 yards away. The varying distances would depend on where Zoe begins her walk. if she starts closer to the bus stop, she would walk a shorter distance.

The varying distances would refer to the different distances Zoe might walk on different occasions. For example, she might take different routes or make detours, causing the actual distance she walks to vary.

However, without more information about Zoe's specific routes or circumstances, it is not possible to provide more detailed information about the varying distances.

However, if she starts closer to the bus stop, she would walk a shorter distance.

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Answer: Option (1)

Step-by-step explanation:

\(\angle DMA\) is another name for angle 3, but not \(\angle DME\).

The direct and Inverse variation relationship,x = 2 and z = 1, the value of y is 12.

the direct and inverse variation relationship:

y = k * (x^2) / z

where k is the constant of variation.

Given that y = 4 when x = 4 and z = 12, we can substitute these values into the equation:

4 = k * (4^2) / 12

Simplifying, we have:

4 = k * 16 / 12

To solve for k, we can cross-multiply and divide:

4 * 12 = k * 16

48 = 16k

Dividing both sides by 16:

48 / 16 = k

k = 3

Now that we have determined the value of k, we can use it to find y when x = 2 and z = 1.

Substituting these values into the equation, we have:

y = 3 * (2^2) / 1

Simplifying further

y = 3 * 4 / 1

y = 12

Therefore, when x = 2 and z = 1, the value of y is 12.

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Answer:

8 - (2/x

hope it is helpful

Answer:

Step-by-step explanation:

y + 2 = 1/7(x - 7)

y + 2 = 1/7x - 1

y = 1/7x - 3

A is the answer

The long run behavior of the function f(x)=5(2)x+1 is that it approaches 1 as x approaches negative infinity and it approaches infinity as x approaches positive infinity.

The long-term behavior of the function f(x)=5(2)x+1 can be discovered by examining how the function behaves as x gets closer to negative and positive infinity.

As x→−[infinity], f(x) = 5(2)^ -∞+1 = 5(0)+1 = 1

As x approaches negative infinity, the value of the function approaches 1.

As x→[infinity], f(x) = 5(2)^ ∞+1 = 5(∞)+1 = ∞

As x approaches positive infinity, the value of the function approaches infinity.

As a result, the function f(x)=5(2)x+1 behaves in the long run in such a way that it approaches 1 as x approaches negative infinity and infinity as x approaches positive infinity.

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Answer:

65

Step-by-step explanation:

The required 24th derivative of the function  \(f(x) = cos(x)\) is also the function  \(f(x) = cos(x)\).

To find the 24th derivative of the function \(f(x) = cos(x)\), we can use the properties of the derivative of trigonometric functions.

The derivative of the function \(f(x) = cos(x)\) is given by:

\(f'(x) = -sin(x)\),

\(f''(x) = -cos(x)\)

\(f'''(x) = sin(x)\)

\(f''''(x) = cos(x)\)

\(24th=(-1)^{24}cosx=cosx\)

\((-1)^{24}cosx=cosx\)

Therefore, the 24th derivative of the function  \(f(x) = cos(x)\) is also the function \(f(x) = cos(x).\)

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SOLUTION

We are asked if

which lines are parallel.

If

then line r and line s are parallel, while line L is a transversal.

A transversal is a line that cuts two parallel lines.

Since line r and line s are parallel, then angle 4 and angle 5 are alternate angles. Alternate angles are always equal and congruent.

Answer:

110

Step-by-step explanation:

There are 200 people in a cinema- This is our total amount.

25 % of the people are men.

.25 times 200= 50

There are 50 men.

1/5 (20%) of the people are women.

.2 times 200 = 40

There are 40 women.

50+40 = 90

There are 90 adults in the cinema.

If there are 200 total people in the cinema, and 90 of them are adult, then 110 of them are children.

The percentage is 55%.

The simplified fraction is 11/20.

The decimal is .55