For f(x) = e^x, find f" (x) and f" (x). What is the nth derivative of f with respect to x? f(x) =

The total number of ways there are to order the numbers 1 through 50 so that 17 occurs first in the ordering and 11 does not occur last in the ordering are :

49! - 48!

To find out how many ways there are to order the numbers 1 through 50 so that 17 occurs first in the ordering and 11 does not occur last in the ordering, follow these steps:

1. Since 17 must be first, there are 49 remaining numbers (2 to 50, excluding 17) to order.
2. There are 49! (49 factorial) ways to order these remaining numbers.
3. However, we must subtract the cases where 11 occurs last in the ordering. In those cases, there would be 48 remaining numbers (excluding 17 and 11) to order, resulting in 48! (48 factorial) ways.
4. Therefore, the total number of ways to order the numbers as required is 49! - 48!.

So, there are 49! - 48! ways to order the numbers 1 through 50 so that 17 occurs first in the ordering and 11 does not occur last in the ordering.

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Answer:

2x+3

Step-by-step explanation:

Combine like terms.

7x-2x-3x=2x

Then add 3 to expression

Answer:

2x+3

Step-by-step explanation:

we know that we would have to add up all the commen variables first to give the most simplified answer

first take the -2x and add it with the -3x. you get -5x.

than take the -5x and add it to the 7x. you will grt 2x

lastly add them up and you get 2x+3

Answer: If Spencer chooses to solve for a quantity using inference by enumeration, the different probability terms that need to be multiplied together in the summation depend on the specific problem or scenario at hand. However, in general, when performing inference by enumeration, the process involves summing over all possible combinations of values for the variables involved.

Let's consider a simple example to illustrate this. Suppose Spencer is trying to calculate the probability of a specific event E occurring, given a set of variables {X1, X2, X3}. In this case, the probability of event E can be written as:

P(E) = Σ P(E, X1, X2, X3),

where Σ denotes the summation symbol, and P(E, X1, X2, X3) represents the joint probability of event E and variables X1, X2, and X3 occurring together.

To evaluate this expression using inference by enumeration, Spencer would need to consider all possible combinations of values for X1, X2, and X3. For example, if each variable can take on two values (0 or 1), then there would be 2^3 = 8 possible combinations. Spencer would calculate the joint probability for each combination and sum them up to obtain P(E).

The specific probability terms that need to be multiplied together in the summation depend on the structure and dependencies of the variables in the problem. If the variables are independent, the joint probability can be calculated by multiplying the individual probabilities. However, if there are dependencies between the variables, additional terms and conditional probabilities may be involved in the calculation.

It's important to note that as the number of variables or the number of possible values for each variable increases, the computational complexity of inference by enumeration grows exponentially, making it impractical for problems with large state spaces. In such cases, approximate methods like sampling or more efficient algorithms like variable elimination or belief propagation are often used.

Answer:

To solve this problem, we need to calculate the change in temperature between noon and 3:30 p.m. and then divide that by the number of hours between noon and 3:30 p.m.

Let's say the temperature at noon was 70 degrees F and the temperature at 3:30 p.m. was 75 degrees F.

The change in temperature between noon and 3:30 p.m. is 75 - 70 = 5 degrees F.

The number of hours between noon and 3:30 p.m. is 3.5 hours.

Therefore, the rate of change in temperature between noon and 3:30 p.m. is 5 degrees F / 3.5 hours = 1.43 degrees F per hour.

The triangles formed by the path of the ball and the wall in the given diagram are similar triangles.

The point on the wall she should aim is; A. 7.8 feet away from point B

The possible diagram in the question is attached

Let x represent the distance from point B where the ball lands.

ΔCDE is similar to ΔABE, by Angle-Angle similarity postulate.

By trigonometric ratio, the tangent of the angles ∠CDE and ∠BAE are;

\(tan(\angle CDE) = \mathbf{\dfrac{20 - x}{25}}\)

\(tan(\angle BAE) = \mathbf{ \dfrac{x}{16}}\)

tan(∠CDE) = tan(∠BAE)

Therefore;

\(\dfrac{20 - x}{25} = \dfrac{x}{16}\)

Which gives;

16 × (20 - x) = 25·x

320 = 41·x

x = 320 ÷ 41 ≈ 7.8

The point on the wall she should aim if she's standing at point A is therefore;

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If Yuvia also earns a base salary of $45 per day. The total amount she earned that day will be $245.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that, Yuva works in a computer store, where she earns a commission of 8 percent of her sales. On Monday, her sales were $2,500.

Commission = 8 % of sales

Commission =($2,500)(0. 08)

Commission =$ 200

If yuvia also earns a base salary of $45 per day,

Total salary = base pay + commission].

Total salary =45 +200

Total salary =$245

f Yuvia also earns a base salary of $45 per day. The total amount she earned that day will be $245.

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Let the first die be represented by a random hypotheses X and the second die by Y. The value of the random variable Z represents the coin flip. Let us first find the sample space of the Experimen.

t:Sample space =

{ (1,1,H), (1,2,H), (1,3,H), (1,4,H), (1,5,H), (1,6,H), (2,1,H), (2,2,H), (2,3,H), (2,4,H), (2,5,H), (2,6,H), (3,1,H), (3,2,H), (3,3,H), (3,4,H), (3,5,H), (3,6,H), (4,1,H), (4,2,H), (4,3,H), (4,4,H), (4,5,H), (4,6,H), (5,1,H), (5,2,H), (5,3,H), (5,4,H), (5,5,H), (5,6,H), (6,1,H), (6,2,H), (6,3,H), (6,4,H), (6,5,H), (6,6,H) }

Let us find the events that satisfy the condition "If the sum of the dice is less than 6 and the coin is H".

Event A = { (1,1,H), (1,2,H), (1,3,H), (1,4,H), (2,1,H), (2,2,H), (2,3,H), (3,1,H) }There are 8 elements in Event A. Let us find the events that satisfy the condition "If the sum of the dice is less than 6 and the coin is H, I will tell you". There are four possible outcomes of the coin flip, namely H, T, HH, and TT. Let us find the events that correspond to each outcome. Outcome H Event B = { (1,1,H), (1,2,H), (1,3,H), (1,4,H) }There are 4 elements in Event B.

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Answer:  First three terms are 1/25, 1/5, and 1 in that order.

===========================================================

Explanation:

The fifth term is 25, which makes the fourth term to be 25*(1/5) = 5. We multiply any term by the reciprocal of the common ratio to move back to the previous term.

The third term is 5*(1/5) = 1. The second term is 1*(1/5) = 1/5. The first term is (1/5)*(1/5) = 1/25

Therefore, the first five terms are:

1/25, 1/5, 1, 5, 25

As we move from left to right, we multiply each term by 5. Going in reverse, we multiply by 1/5.

The first three terms of the sequence are 0.04, 0.2, and 1.0.

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

We have,

To find the first three terms of a geometric sequence, we need to use the formula for the nth term of a geometric sequence:

\(a_n = a_1 \times r^{n-1}\)

where \(a_n\) is the nth term of the sequence, \(a_1\) is the first term, r is the common ratio, and n is the number of the term we want to find.

We are given that,

\(a_5\) = 25 and r = 5.

We can use this information to find \(a_1\):

\(a_5 = a_1 \times r^{5-1}\)

\(25 = a_1 \times 5^4\)

25 = \(a_1\) x 625

\(a_1\) = 25/625

\(a_1\) = 0.04

Now that we have found \(a_1\), we can use the formula to find the first three terms of the sequence:

\(a_1\) = 0.04

\(a_2\) = 0.04 x 5 = 0.2

\(a_3\) = 0.04 x 5² = 1.0

Therefore,

The first three terms of the sequence are 0.04, 0.2, and 1.0.

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Answer:

the price with the offer is going to be 1.59$

Step-by-step explanation:

\( \frac{x}{5.30} = \frac{70}{100} \)

\(100(x) = 70(5.30)\)

\(100(x) = 371\)

\( \frac{100(x)}{100} = \frac{371}{100} \)

\(x = 3.71\)

\(70\% \: \: \: of \: \: \: 5.30 \: \: \: is \: \: \: 3.71\)

\(5.30 - 3.71 = 1.59\)

Answer:

segment EF

Step-by-step explanation:

the longest side in a triangle is opposite the largest angle

EF is opposite the angle measuring 85°, which is the largest angle measure in this diagram

Answer:

A(n) = 1500 * (1 + 0.0367)^n

Step-by-step explanation:

Given that Ted's account has $1535.25 after 1 year, we can use that value to write an explicit expression for the function A(n).

The amount in the account after n years is given by the formula:

A(n) = A(0) * (1 + r)^n

where A(0) is the initial amount in the account and r is the interest rate.

Since A(1) = $1535.25 and A(0) = $1500, we can substitute these values into the formula:

1535.25 = 1500 * (1 + r)^1

Solving for r:

r = (1535.25/1500) - 1 = 0.0367

So, the interest rate is 3.67% and the explicit expression for the function A(n) is:

A(n) = 1500 * (1 + 0.0367)^n

Answer:

I believe it is 14.

Step-by-step explanation:

Answer: The value of x is 14°

Step-by-step explanation:

Since line m is parallel to n, then then the two given angles will have the same measures. Meaning that 136 degrees has to equation (9x+10).

Set them to equal each other and solve for x.

9x + 10 = 136

    - 10      -10

  9x  = 126

x=  14

Answer:

4%

Step-by-step explanation:

using a calculator, you can do 5200/130000 and get 0.04

:)

Answer:

4%

Step-by-step explanation:

Given:

Present population = 130,000

Future population = 135,200

Find:

Increase in percent

Computation:

Increase in population = Future population - Present population

Increase in population = 135,200 - 130,000

Increase in population = 5,200

Increase in percent = [Increase in population / Present population]100

Increase in percent = [5,200/130,000] 100

Increase in percent = 4%

To construct an interval estimate for mu with 95 percent confidence, we can use the formula: Confidence interval = sample mean +/- (critical value) x (standard error).

where the critical value is determined based on the desired level of confidence and the sample size, and the standard error is calculated as sigma/sqrt(n), where n is the sample size. Using the given information, we have: - When sigma = 50: - Sample mean (x) = 850, - Sample size (n) = 100, - Standard error (sigma/sqrt(n)) = 50/sqrt(100) = 5, - Critical value for 95% confidence interval (from t-distribution table with 99 degrees of freedom) = 1.984, - Interval estimate: - Lower limit = 850 - 1.984 x 5 = 840.08,  - Upper limit = 850 + 1.984 x 5 = 859.92, - 95% confidence interval is from 840.08 to 859.92.

   - When sigma = 100: - Sample mean (x) = 850, - Sample size (n) = 100, - Standard error (sigma/sqrt(n)) = 100/sqrt(100) = 10, - Critical value for 95% confidence interval (from t-distribution table with 99 degrees of freedom) = 1.984, - Interval estimate: - Lower limit = 850 - 1.984 x 10 = 829.16, - Upper limit = 850 + 1.984 x 10 = 870.84. - 95% confidence interval is from 829.16 to 870.84.

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Answer:

Step-by-step explanation:

\(\huge\large \fbox \green{Answer :}\)

B. 5sqrt(2)

\(\huge\Large \fbox \green{Explanation:}\)

We have

We need to find third side of triangle

( x)² = (√34 )² + (4)² ....( by Pythagoras Theorem)

x ² = 34 + 16

x ² = 50

x = √50

x = 5 √2

Hence, the third side is 5√2

When she uses 5 bags of coffee every day at her café, half of a bag of coffee lasts for 10 days.

Multiplication is the inverse of division. If 3 groups of 4 add up to 12, 12 split into 3 equal groups adds up to 4 in each group in division. The basic purpose of splitting is to determine how many equal groups develop or how many people are in each group when distributing equally. Division is a basic operation that divides an integer. It's best to imagine of it as a group of things being distributed among a group of individuals, as in the preceding example.

Here,

number of bags needed in a day=5

number of days 1/2 bag last,

=5÷1/2

=10 days

Half of bag of coffee last for 10 days when she uses 5 bags of coffee every day in her café.

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P does not contain a line, it means that for any x in R^n, there exists a unique y in R^k such that Ax + By ≥ b. Therefore, x^ is uniquely determined by y^, and (x^, y^) is an extreme point of P.

1) The statement is true. Suppose (x^,y^) is an extreme point of P. To show that x^ is an extreme point of Q, we need to prove that for any two distinct points x_1, x_2 in Q, the line segment connecting x_1 and x_2 lies entirely in Q. Since Q is the projection of P onto x-space, it means that for any x in Q, there exists y in R^k such that Ax + By ≥ b.

Now, let's assume x_1 and x_2 are two distinct points in Q. Since they belong to Q, there exist corresponding y_1 and y_2 in R^k such that Ax_1 + By_1 ≥ b and Ax_2 + By_2 ≥ b. Since P is a polyhedron, the set of points that satisfy Ax + By ≥ b is a convex set. Therefore, the line segment connecting x_1 and x_2, denoted by [x_1, x_2], lies entirely in P. Since the projection of a convex set onto a subspace is also a convex set, [x_1, x_2] lies entirely in Q. Thus, x^ is an extreme point of Q.

2) The statement is false. Suppose x^ is an extreme point of Q. It does not necessarily imply the existence of a corresponding y^ such that (x^, y^) is an extreme point of P. This is because the projection Q onto x-space may not capture all the extreme points of P. It is possible for multiple points in P to project to the same point in Q, making it impossible to uniquely determine y^.

3) The statement is true. If x^ is an extreme point of Q and P does not contain a line, then there exists a corresponding y^ such that (x^, y^) is an extreme point of P. Since P does not contain a line, it means that for any x in R^n, there exists a unique y in R^k such that Ax + By ≥ b. Therefore, x^ is uniquely determined by y^, and (x^, y^) is an extreme point of P.

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Answer:

"O c. 17.156"

Step-by-step explanation:

    A is not a rational number because it cannot be written as a fraction [with two integers] or an integer (the square root of 15 is equal too 3.87298334...)

   B is not a rational number because it also goes on forever, just like A.

    C is a rational number because it does not go on forever.

    D is like A and B, it goes on forever.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The simplified expression in standard form is in option (B). \(-3x^2 - 15x - 30.\)

Given expression,

\(-3(x + 3)^2 - 3 + 3x\)

We have to find the simplified expression in standard form.

Now solving the expression we get,

\(-3(x + 3)^2 - 3 + 3x\)

Applying the identity  \((a + b)^2 = a^2 + b^2 + 2ab\), we get

\(-3(x^{2} +9+6x)-3+3x\)

\(-3x^2 - 18x - 27 + 3x- 3\)

\(-3x^{2} -15x-30\)

Hence, the correct option is (B).\(-3x^{2} -15x-30\) .

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Answer:

The average cost this year = $33,093.75

Step-by-step explanation:

The computation of the average cost this year is shown below:

Given that

The average cost for the last year = $31,250

Increased percentage = 5.9%

Based on the above information, the average cost this year is

= The average cost for the last year × (1 + Increased percentage)

= $31,250 × (1 + 0.059)

= $31,250 × 1.059

= $33,093.75

The time it takes the ball to strike the ground after it is thrown, found using the kinematic equation, H = -16·t² - 24·t + 200 is approximately 2.86 seconds

A kinematic equation is an equation of the motion of an object moving with a constant acceleration.

The direction in which the ball is thrown = Downwards

Height of the building = 200 foot

Initial velocity of the ball = 24 ft./s

The kinematic equation that indicates the height of the ball after t seconds is, H = -16·t² - 24·t + 200

At ground level, H = 0, therefore;

H = 0 = -16·t² - 24·t + 200

-16·t² - 24·t + 200 = 0

-2·t² - 3·t + 25 = 0

t = (3 ± √((-3)² - 4 × (-2)×25))/(2×(-2))

t = (3 ± √(209))/(-4)

t =  (3 + √(209))/(-4) ≈ -4.36 and t =  (3 - √(209))/(-4)) ≈ 2.86

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Answer:

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

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Answer:

-2

Step-by-step explanation:

Hope it helps

Answer:

Step-by-step explanation:

Darnell gives his friends

Remaining pie

Answer:

\(\huge\boxed{\bf{Leftover\:Daniel\:pie = 1\frac{1}{8}pie}}\)

Step-by-step explanation:

Given:-

To find: -

Ans:-

The first step is to find a lot of cakes that will be given to five of Daniel's friends

Finally we determine the rest of Daniel's pie

Therefore leftover Daniel pie is = \(\frac{9}{8}\)pie or \(1\frac{1}{8}\)pie

\(\:\)

\(\huge\colorbox{skyblue}{BlackPain}\)

Answer:

Its 12.5 miles per hour.

Step-by-step explanation:

Distance covered by cyclist=3.75 miles. Time =0.3 hours. Speed =3.75÷0.3=12.5

hope this helps

Answer:

0.4 miles per hour

Step-by-step explanation:

Distance covered= 5.83 miles

Time taken to cover the distance =0.4 hours

\( speed \: = \frac{distance}{time} \)

\( = \frac{5.83}{0.4} \)

=14.575 ~=14.5 miles per hour

If the rate (speed) = 14.575 miles per hour

Distance = 5.5 miles

\(time = \frac{distance}{speed} \)

\( = \frac{5.5}{14.575} \)

=0.337 ~= 0.4 hours