(Chapter 13) If K(t) = 0 for all t, the curve is a straight line.

Answer:

I think its the first one. Sorry if im wrong,,, havent done this in a while

Step-by-step explanation:

The injury probability p that makes the decision maker indifferent between entering now and waiting until next year is approximately 0.26.

To calculate this probability, we need to set the expected values of entering now and waiting until next year equal to each other and solve for p. Let EMV₁ be the expected value of entering now and EMV₂ be the expected value of waiting until next year. Then we have:

EMV₁ = -1000p + 5000(1-p)

EMV₂ = 0.9(-1000p) + 0.1(5000)

Setting EMV₁ equal to EMV₂, we get:

-1000p + 5000(1-p) = 0.9(-1000p) + 0.1(5000)

Solving for p, we get:

p ≈ 0.26

Therefore, if the probability of injury is greater than 0.26, the decision maker should wait until next year to enter the market, and if the probability of injury is less than 0.26, the decision maker should enter the market now.

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Answer:

-3x-18

Step-by-step explanation:

The expression -3(x+6) means that -3 is multiplied with x and 6 in the brackets so the answer would be

\(-3x-18\)

Answer:

The answer is that the type of data that is being described is quantitative data. This means that the data consists of numerical values that represent the number of customers served each week.

, quantitative data is numerical data that can be measured and expressed in numerical form. In this case, the number of customers served each week is being recorded, which is a quantitative variable. This data can then be analyzed and used to make decisions about the restaurant's operations, such as staffing levels, inventory management, and marketing strategies. Overall, the recording of customer numbers is an important aspect of running a successful restaurant, and the quantitative data collected can provide valuable insights into customer behavior and preferences.


Quantitative data can be further divided into two categories: discrete and continuous data. Discrete data can only take specific values, usually whole numbers (e.g., the number of customers). Continuous data can take any value within a range (e.g., the weight of a serving). In this scenario, the number of customers is an example of discrete quantitative data.

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Answer:

Step-by-step explanation:

Given that:

4x + 5x = $440

9x = $440

x = $49 (Approx.)

So, she received :

from the stock = 4 x 49 = $196

from the bond = 5 x 49 = $245

SO, now, how much did she invest ?

Answer:

Step-by-step explanation:

Let x represent the amount invested at 4% and y the amount at 5%.  Then x + y = 1000.  

Then:

0.04(1000 - x) + 0.05x) = 440 (total interest)

Then:

40 - 0.04x + 0.05x = 440, or

0.01x = 400, or

x = 40000 (not possible, because the principal is only $1000.

Something's wrong here.  Double check to ensure that you've copied the problem down correctly.

Answer:

2(w - 6)

Step-by-step explanation:

subtract 6 from w and then multiply by 2

The arithmetic sequences among the given options are: -5, 5, -5, 5, -5, ... This sequence alternates between -5 and 5 repeatedly, indicating a common difference of 10.

96, 48, 24, 12, ... This sequence is decreasing by a common difference of 48/2 = 24. 618, 5.5, -7, -19.5, -32, ... This sequence is decreasing by a common difference of -623.5.  The remaining sequences are not arithmetic: The sequence -1, -3, -9, -27, -81, ... is a geometric sequence with a common ratio of -3. The sequence 16, 32, 48, 64, 80, ... is increasing but not by a constant difference.

Therefore, the arithmetic sequences are -5, 5, -5, 5, -5, ...; 96, 48, 24, 12, ...; and 618, 5.5, -7, -19.5, -32, ....

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Answer:

120 Units

Step-by-step explanation:

A=1/2xbxh

A=1/2 x (10x24)=120 units

The triangle has an area of 120 units^2  squared.

The surface area obtained by rotating the curve y = x² from x = 0 to x = 8 about the y-axis is 2048π square units.

We are given that the curve y = x² is rotated from x = 0 to x = 8. So our range of integration is from x = 0 to x = 8.

To use the disk method, we need to express the curve in terms of y instead of x. For the equation y = x², we can rewrite it as x = √y.

The radius of each disk is the distance between the y-axis and the curve. Since we are rotating the curve around the y-axis, the radius will be the value of x for a given y. Therefore, the radius is x = √y.

The area of each disk can be found using the formula for the area of a circle, which is A = πr². In this case, the area is A = π(x²) = π(√y)² = πy.

To find the total surface area, we need to sum up the areas of all the disks. We integrate the area function πy with respect to y from y = 0 to y = 64 (since x = 8 corresponds to y = 64).

Surface Area = ∫(πy)dy from 0 to 64

= π∫y dy from 0 to 64

= π[y²/2] from 0 to 64

= π[(64²/2) - (0²/2)]

= π[2048]

= 2048π square units.

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Answer: 20 nickels and 6 quarters.

Step-by-step explanation:

           Let q be equal to quarters and n be equal to nickels. We will write a system of equations to help us solve.

      First, we know each quarter is $0.25 and each nickel is $0.05.

0.25q + 0.05n = 2.5

      Next, we know there are 14 more nickels than quarters.

n = q + 14

      We will plug the second equation into the first and solve.

0.25q + 0.05n = 2.5

0.25q + 0.05(q + 14) = 2.5

0.25q + 0.05q + 0.7 = 2.5

0.3q = 1.8

q = 6

      Joan has 6 quarters. We know he has 14 more nickels than quarters, so we will use addition.

6 + 14 = 20 nickels

Answer:

The slopes of both lines are 2/3, and since they have different y-intercepts they are parallel.

Step-by-step explanation:

In order to find slope, you need to find the rise and run of the line, since slope is rise/run. Lets use the red line as an example: There are two points , (0,1) and (-2,-1) where there are solid points. Once you locate solid points, you can then count how many units up or down (rise) and how many left or right (run). If you do this on paper the lines should form a right triangle with the line as the hypotenus. Since we went up 2, right 3, the slope would be 2/3.

Hope this helps :)

the answer is: (T R U E........)

Answer:

number 2

Step-by-step explanation:

Using linear function concepts, it is found that the value 357 represents the amount of carbon dioxide in the atmosphere in January 1995.

A linear function is modeled by:

y = mx + b

In which:

In this problem, the linear function for the amount of carbon dioxide in the atmosphere in x months after January 1995 is given by:

y = 357 + 0.17x.

The y-intercept is of 357, hence the value 357 represents the amount of carbon dioxide in the atmosphere in January 1995(which is the equivalent to month 0).

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The number of keys required to fully implement a symmetric algorithm with 10 participants is: 45 (Option C)

Symmetric encryption or Algorithm is a kind of encryption that uses a single key (a secret key) to encrypt and decode electronic data.

The key must be exchanged between the organizations communicating using symmetric encryption so that it may be utilized in the decryption process.

The formula that determines the number of keys necessary for a symmetric algorithm is given as;

(n*(n-1))/2,

which is 45 in this situation, when n = 10.

That is

(10 * (10-1))/2

= 45.

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Full Question:

How many keys are required to fully implement a symmetric algorithm with 10 participants?

A. 10

B. 20

C. 45

D. 100

The correct answer is d. The equilibrium GDP is 400. To find the macroeconomic equilibrium, we need to find the point where Real GDP Demanded equals Real GDP Supplied.

This occurs at a price level of 150, where both Real GDP Demanded and Real GDP Supplied are 200.

At a price level of 95, Real GDP Demanded is 500 and Real GDP Supplied is only 100, creating a surplus. At a price level of 90, Real GDP Demanded is 400 and Real GDP Supplied is 200, creating a surplus. At a price level of 100, Real GDP Demanded is 300 and Real GDP Supplied is 300, creating equilibrium. At a price level of 150, Real GDP Demanded is 200 and Real GDP Supplied is also 200, creating equilibrium. At a price level of 200, Real GDP Demanded is only 100 and Real GDP Supplied is 500, creating a shortage.

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Answer:

3%

Step-by-step explanation:

percent of two numbers x and y

x as a percent of y is given by x/y * 100

given

Total bill = $11.18

in the bill , tax amount = $0.33

thus,

tax as percent of total bill is =  tax amount /Total bill  * 100

tax as percent of total bill is = 0.33 /11.18  * 100= 2.95 %

Thus,

tax percentage is 2.95%

tax percentage to nearest whole number is 3%

Answer:

\(\frac{-2±\sqrt{3} }{2}\)

dec form: -0.13

Step-by-step explanation:

Answer:

0.96

Step-by-step explanation:

Total samples of window = 10smaples

Total seal break = 4% of 10

Total seal break = 0.04 * 10

Total seal break = 0.4

THis means that no seal will be break on 96% of the window i.e 9.6 windows

The probability that, in a sample of 10 windows, no seals will break is expressed

as;

Pr(no seal will break) = 9.6/10

Pr(no seal will break)  = 0.96

Hence the probability that no seals will break is 0.96

Answer:

12/5

Step-by-step explanation:

obisite value over adjacent value

Answer:

-52, -69, -89, -100, -124

Step-by-step explanation:

Answer:

-124,-100,-89,-62,-52

Step-by-step explanation:

If the number is a high number and it's a negative it is the least. For example, if you have $-100 in your bank account, that's worse than having $-52. I hope this helps.

Step-by-step explanation:

Let us intepret this condition in our context:

"...that the minimum value is not less than 2 and the maximum value is not greater than 5"

This means that when we roll the dice, we do not want 1 or 6 to appear. Instead we wish for 2/3/4/5 to appear.

The probability of getting these four sides out of six in a roll is 4/6, or 2/3.

We have to roll this dice 4 times. Hence we raise the probability to a power of 4:

Total probability = (2/3)⁴

= (2)⁴ / (3)⁴

= 16/81. (C)

100% is equal to the total earnings in a month which is $4000.So 33% is the rent so you say:

If 100%=4000

33%=?

[(33×4000)÷100]=$ 1320

Answer:

4-5i

Step-by-step explanation:

Answer:

4-5i

Step-by-step explanation:

(5-2i)-(1+3i)

5-2i-1-3i

5-1-2i-3i

4-5i

To find an explicit formula for the sequence given by the recurrence relation dk = 8dk−1 − 16dk−2 with initial conditions d1 = 0 and d2 = 1, we can use the method of characteristic equations.

The characteristic equation for the recurrence relation is r^2 - 8r + 16 = 0. Factoring this equation, we get (r-4)^2 = 0, which means that the roots are both equal to 4.
Therefore, the general solution for the recurrence relation is of the form dk = c1(4)^k + c2k(4)^k, where c1 and c2 are constants that can be determined from the initial conditions.
Using d1 = 0 and d2 = 1, we can solve for c1 and c2. Substituting k = 1, we get 0 = c1(4)^1 + c2(4)^1, and substituting k = 2, we get 1 = c1(4)^2 + c2(2)(4)^2. Solving this system of equations, we find that c1 = 1/16 and c2 = -1/32.
Therefore, the explicit formula for the sequence is dk = (1/16)(4)^k - (1/32)k(4)^k.

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Answer:

16/15

Step-by-step explanation:

I hope this is helpfull

The best prediction for the time to read 18 pages is 15 minutes

The table entry is given as:

Pages      Time

10               8

12               11

5                4

26              22

20              17

From the table, 18 pages is between 12 and 20 pages.

This means that, the time to read a chapter that has 18 pages must be between the time to read a chapter of 12 and 20 pages.

It takes 11 minutes to read 12 pages, and 17 minutes to read 20 pages.

So, the time to read 18 pages must be between 11 minutes and 17 minutes.

From the given options, 15 is between 11 and 17

Hence, the best prediction for the time to read 18 pages is 15 minutes

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