Compute the sum of the given series. If the series diverges, enter DNE. Use exact values. [infinity]
∑ π^2n / (-9)^n (2n) !
n=0

Answer:

685200 is ten and hundred 685000 thousand 690000 ten thousand 700000 hundred thousand

Answer:

The length of the side would be 9

Step-by-step explanation:

You can just multiply from the smaller figure 7*3=21, 5*3=15, so then 3*3=9

For the function  h (a) = In(t sint + 5)dt the decreasing interval is 14.322

The function h is a mathematical expression that relates a variable "a" to the result of an integral of another function.

In this specific case, the integral is calculated for the function "t sin t + 5" with respect to "t" from 1 to "a".

We can use differentiation to find the critical points of "t sin t + 5" and determine if it is increasing or decreasing over the interval.

We find that the function has a critical point at t = π/2, where it changes from increasing to decreasing. This means that the function h is decreasing over the interval (π/2, 7).

However, for values of "a" less than π/2, the function being integrated is increasing, meaning the function h is also increasing for those values of "a".

Therefore, option (c) is correct.

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The value at the 40th percentile is 51, and the value at the 80th percentile is 58.

To find the values at the 40th and 80th percentiles, we first need to arrange the values in ascending order:

35, 42, 43, 44, 49, 51, 53, 57, 58, 58, 58, 60, 60

There are 13 values in total.

To find the value at the 40th percentile, we calculate 40% of 13:

40% × 13

= 0.4 × 13

= 5.2

Since the index is not a whole number, we round it up to the nearest whole number, which is 6.

So, the 40th percentile corresponds to the 6th value in the ordered list, which is 51.

To find the value at the 80th percentile, we calculate 80% of 13:

80% × 13

= 0.8 × 13

= 10.4

Again, rounding it up to the nearest whole number, the 80th percentile corresponds to the 11th value in the ordered list, which is 58.

Therefore, the value at the 40th percentile is 51, and the value at the 80th percentile is 58.

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Answer:

g=-32

Step-by-step explanation:

Switch sides

g/-4 -5 = 3

Add 5 to both sides

g/-4 -5+5=3+5

Simplify

g/-4 = 8

Multiply both sides -4

g(-4)/-4 = 8(-4)

Simplify

g=-32

Answer:

The answer is G.

Step-by-step explanation:

The correct statements about financial literacy from the given options are as follows:

The only option that isn’t included is: One reason to become financially literate is to make you rich.  Though knowledge about financial literacy can help you in managing your finances, you would need great amount of knowledge about other fields to be able to become rich - not just financial literacy.

Answer:

24

Step-by-step explanation:

12 months in a year and Calvin gets 2 paychecks in one month

so 2 times 12 = 24 paycheck

No, because if he gets a paycheck every 2 weeks that would be about 4 paychecks in one month

so that would be about 48 paychecks in a year.

Answer:

5/6(83.33%) I think this should be the probability of it.

Answer:

8/25

Step-by-step explanation:

Since there are only three possible outcomes on the spinner (1, 2, or 3), we can find the probability of spinning a 2 by subtracting the probabilities of spinning a 1 or a 3 from 1

P(2) = 1 - P(1) - P(3)

P(2) = 1 - 7/25 - 2/5

P(2) = 1 - 35/125 - 50/125

P(2) = 1 - 85/125

P(2) = 40/125

P(2) = 8/25

Therefore, the experimental probability of spinning a 2 is 8/25 or 0.32.

Answer:10

Step-by-step explanation:

8/80=1/10*100=10

Answer:

-3x²-6x+17

Step-by-step explanation:

P(x)+Q(x)

(4x²+6x-9)+(-7x²-12x+8)

4x²+6x+9-7x²-12x+8

(4x²-7x²)+(6x-12x)+(9+8)

-3x²-6x+17

The population growth rate (r) for 2009 in the tiny country of fremont is found as 1.4.

All these elements are taken into account when formulating the population growth formula.

r = [(b + i) - (d + e)]/1000

Put the values in the formula.

r =  [(2,000 + 100) - (500 + 200)]/1000

r = 2100 - 700/ 1000

r = 1.4

Thus, the population growth rate (r) for 2009 in the tiny country of fremont is found as 1.4.

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=\(9\sqrt{2}\)

The 50 students are an example of a sample population

A sample is a subset of a population that is used to represent the entire population. In this case, the 50 students who received the questionnaire are a sample of the population of students on the university campus. The results of the questionnaire would be used to make inferences about the satisfaction of the entire student population with the financial aid office on campus. The importance of the sample lies in the fact that it allows researchers to make inferences about a larger population based on a smaller, more manageable group of individuals. This is done by selecting a sample that is representative of the population of interest.

By studying a sample, researchers can make predictions about the characteristics of the larger population, such as the percentage of students who are satisfied with the financial aid office on campus. This can be done with a high degree of accuracy if the sample is chosen and analyzed properly. Additionally, studying a sample can also be much more cost-effective and time-efficient than studying the entire population. However, it's important to keep in mind that the sample may not be perfectly representative of the population and it may introduce some errors, called sampling errors, in the inferences made about the population.

So, 50 students as an example of a population sample to fill out the questionnaire.

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Answer:

11

Step-by-step explanation:

volume of a prism = area of base × height

plug in what we are given

275 = 25 × height

==> divide both sides by 25

11 = height

To find a recurrence relation for the number of n-letter sequences using the letters a, b, c such that any a not in the last position of the sequence is always followed by a b, we can use the following approach.

Let's consider the last two letters of the sequence. There are three possible cases:

1. The last letter is not "a": In this case, we can append any of the three letters (a, b, or c) to the end of an (n-1)-letter sequence that satisfies the given condition. This gives us a total of 3 times the number of (n-1)-letter sequences that satisfy the condition.

2. The last letter is "a" and the second to last letter is "b": In this case, we can append any of the two letters (a or c) to the end of an (n-2)-letter sequence that satisfies the given condition. This gives us a total of 2 times the number of (n-2)-letter sequences that satisfy the condition.

3. The last letter is "a" and the second to last letter is not "b": In this case, we cannot append any letter to the end of the sequence that satisfies the condition. Therefore, there are no such sequences of length n in this case.

Putting all these cases together, we get the following recurrence relation:

f(n) = 3f(n-1) + 2f(n-2), where f(1) = 3 and f(2) = 9.

Here, f(n) denotes the number of n-letter sequences using the letters a, b, c such that any a not in the last position of the sequence is always followed by a b.

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Answer:

the rate of change is 4.

Step-by-step explanation:

It is 4 because to find the rate of change you need to see how many pieces of corn (y) there are for every serving (x). If you see if you plug in the number three in between 2 and 4 for the servings and you follow the pattern of the table you will get 12. Then you subtract 8 from 12 and you get 4.

so basically the rate of change is the difference in corn for every serving.

Answer:c

Step-by-step explanation:

Answer:

91. The probability that Caroline will be ready before Andrew is 0.25 (Option B). Since the service times are exponentially distributed with a mean 15 minutes, the remaining service time for Andrew when Caroline arrives is also exponentially distributed with the mean 15 minutes. The service time for Caroline is also exponentially distributed with mean 15 minutes. The probability that Caroline’s service time is less than Andrew’s remaining service time is given by the formula P(X < Y) = 1 / (1 + λY / λX), where λX and λY are the rates of the exponential distributions for X and Y respectively. Since both service times have the same rate (λ = 1/15), the formula simplifies to P(X < Y) = 1 / (1 + 1) = 0.5. Therefore, the probability that Caroline will be ready before Andrew is 0.25.

92. The probability that Caroline will be ready before Bob is 0.35 (Option A). Since Bob arrived 10 minutes after Andrew, his remaining service time when Caroline arrives is exponentially distributed with mean 15 minutes. Using the same formula as above, we get P(X < Y) = 1 / (1 + λY / λX) = 1 / (1 + 1) = 0.5. Therefore, the probability that Caroline will be ready before Bob is 0.35.

Answer:

6

Step-by-step explanation:

Answer: hey o-o oh ok-

Step-by-step explanation:

what is the graph thoughhhh ❤️

Answer:

temperature > -15

The slope of f(x) = ½ ln(x² + 2) + ½ x² + 5/2 - ½ ln 3. We are given the slope of f'(x) at each point(x,y) on a curve y=f(x) is given along with a particular point(a,b) on the curve.

We have the following equation of slope f'(x) as: f'(x) = x³ - 2 / x² + 2. We are given a point on the curve as (1, 3).

To find f(x), we have to integrate f'(x) to get the original function f(x).Let us solve the equation of slope f'(x) using quotient rule.So, f'(x) = (x³ - 2) / (x² + 2). After simplifying the above equation we have, f'(x) = (x - 2 / (x² + 2). Integral of f'(x) is given as: Integral of f'(x) = ∫ (x - 2 / (x² + 2))dx.

On solving the above equation we have,f(x) = ½ ln(x² + 2) + ½ x² + C. We have to find value of C for which the point on the curve is (1, 3).

Let us plug the value of (1, 3) in the above equation and solve for C as follows.

3 = ½ ln(1² + 2) + ½ (1)² + C.

3 = ½ ln 3 + ½ + C.

C = 3 - ½ ln 3 - ½.

Plugging value of C in the original function we get the value of f(x).Thus, f(x) = ½ ln(x² + 2) + ½ x² + 3 - ½ ln 3 - ½.

Hence, the required solution is f(x) = ½ ln(x² + 2) + ½ x² + 5/2 - ½ ln 3.

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Answer:

They would be perpendicular to each other.

One would have a slope of 0 (horizontal line) and the other would have an undefined slope (vertical line)

Step-by-step explanation:

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

Answer:

He paid $2.35 for each pair of socks.

An equation using the variable S is

$77.99 = 9S + (3 × $8.28) + $32

Step-by-step explanation:

Let S be the cost of a pair of socks

From the question, Mark purchase nine pairs of socks, that is, the total cost of the pairs of socks is 9S

He purchase three packages of undershirts for $8.28 each; the total cost of the three packages of shirt will be 3 × $8.28 = $24.84

and he also purchase a pair of pants for $32

Since he spent a total of $77.99, we can write that

$77.99 = 9S + (3 × $8.28) + $32

Now, we can determine S, the cost of a pair of socks

$77.99 = 9S + (3 × $8.28) + $32

$77.99 = 9S + $24.84 + $32

$77.99 = 9S + $56.84

9S = $77.99 - $56.84

9S = $21.15

S = $21.15/9

S = $2.35

Hence, he paid $2.35 for each pair of socks.

The volume of the box is 1000 cubic inches. False, the government does not ensure that you always get paid in international transportation; payment is determined by contracts and agreements between parties.

3: To find the volume of the box in cubic inches, we need to convert the dimensions from centimeters to inches. Given that 1 inch is approximately equal to 2.5 cm, we can calculate the volume as follows:

Length in inches = 25 cm / 2.5 cm/inch = 10 inches

Width in inches = 25 cm / 2.5 cm/inch = 10 inches

Height in inches = 25 cm / 2.5 cm/inch = 10 inches

Volume = Length × Width × Height = 10 inches × 10 inches × 10 inches = 1000 cubic inches

Therefore, the volume of the box is 1000 cubic inches.

5: The statement "International transportation is regulated by the government which ensures that you always get paid" is false. International agencies (such the International Maritime Organization and the International Civil Aviation Organization) as well as standards set by the private sector all have a role in regulating international transportation.

The government plays a role in regulating certain aspects of international transportation, but it does not ensure that you always get paid. Payment and financial matters are typically governed by contracts and business agreements between parties involved in international transportation.

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Complete question :

Question 3 (1 point) Listen What is the volume in cubic inches of a box that is 25 cm by 25 cm by 25 cm (given 1 inch = 2.5 cm approx.) AY Question 5 (1 point) Listen International transportation is regulated by the government which ensures that you always get paid True False

Answer:

a) 4 packages

b) 7000 g or 7 kg

Step-by-step explanation:

x is the number of 250g packages and y is the number of 750g packages.

2x = y

3(x + 2 x (750 : 250)) = 5(y - 2)

3(x + 6) = 5(y - 2)

3(x + 6) = 5(2x - 2)

3(x + 6) = 5(2(x - 1))

3(x + 6) = 5 * 2 * (x - 1)

3(x + 6) = 10(x - 1)

3x + 18 = 10x - 10

(3x + 18) + 10 = (10x - 10) + 10

3x + 28 = 10x

28 = 10x - 3x

28 = 7x

x = 28/7

x = 4

y = 2 * 4 = 8

(250 * 4) + (750 * 8) = 7000 g

Both L={a^n b^n a^n | n ≥ 0} and L={a^n b^(n+1) | n ≥ 0, l ≥ 1} are not regular languages.

1. The language L = {a^n b^n a^n | n ≥ 0} is not regular.

Proof by the Pumping Lemma for Regular Languages:

Assume that L is a regular language. According to the Pumping Lemma, there exists a pumping length p such that any string s in L with |s| ≥ p can be divided into three parts: s = xyz, satisfying the following conditions:

1. |xy| ≤ p

2. |y| > 0

3. For all integers i ≥ 0, xy^iz is also in L.

Let's choose the string s = a^p b^p a^p. Since |s| = 3p ≥ p, it satisfies the conditions of the Pumping Lemma. By dividing s into xyz, we have s = a^p b^p a^p = xyz, where y consists only of a's.

Now, consider pumping y, i.e., let i = 2. Then xy^2z = xyyz = x(a^p)b^p(a^p) = a^(p + |y|) b^p a^p. Since |y| > 0, pumping y results in a mismatch between the number of a's in the first and second parts of the string, violating the condition that L requires a matching number of a's. Thus, xy^2z is not in L.

This contradiction shows that L is not a regular language.

2. The language L = {a^n b^(n+1) | n ≥ 0, l ≥ 1} is not regular.

Proof by contradiction:

Assume that L is a regular language. Then, by the Pumping Lemma, there exists a pumping length p such that any string s in L with |s| ≥ p can be divided into three parts: s = xyz, satisfying the conditions:

1. |xy| ≤ p

2. |y| > 0

3. For all integers i ≥ 0, xy^iz is also in L.

Let's consider the string s = a^p b^(p+1). Since |s| = p + p + 1 = 2p + 1 ≥ p, it satisfies the conditions of the Pumping Lemma. By dividing s into xyz, we have s = a^p b^(p+1) = xyz, where y consists only of a's.

Now, consider pumping y, i.e., let i = 2. Then xy^2z = xyyz = x(a^p)yy(b^(p+1)) = a^(p + |y|)b^(p+1). Since |y| > 0, pumping y results in a mismatch between the number of a's and b's, violating the condition that L requires the number of b's to be one more than the number of a's. Thus, xy^2z is not in L.

This contradiction shows that L is not a regular language.

Therefore, both L={a^n b^n a^n | n ≥ 0} and L={a^n b^(n+1) | n ≥ 0, l ≥ 1} are not regular languages.

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Answer:

It is commutative property   (in my opinion)

Step-by-step explanation:

-1 + 5= 4       5 - 1 =4

Both give you the same answer, thus the arrangement of the INTEGERS does not matter.

Note that I mentioned integers since this is not possible for natural numbers alone. They are not closed under subtraction. Here you -1 and 5 both of  which are integers, their SUM  give you an integer as well.

Hope this explanation helps!!