Determine whether the series is convergent or divergent. arctan(3n) n = 1 convergent divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)

Answer:

$271.66

Step-by-step explanation:

Answer:

Decrement

Step-by-step explanation:

Answer:

a. 3:45 a.m. = 3:345

b. 9:16 a.m. = 9:16

c. 12 ( midnight ) = 00:00

d. 12 ( noon ) = 12:00

Answer:-55

Step-by-step explanation:

-11 times 5= -55

9514 1404 393

Answer:

  63

Step-by-step explanation:

The number of seats in a row will give an arithmetic sequence:

  6, 9, 12, 15, ...

The first term is 6; the common difference is 3. The general term is ...

  an = a1 +d(n -1) . . . . . . n-th term of sequence with first term a1, difference d

The 20th term of the sequence is ...

  a20 = 6 +3(20 -1) = 6 +57 = 63

There would be 63 seats on the 20th row.

It is FALSE to state that if a researcher is interested determining if there is a relationship betweenethnicity and job type, then a Chi- Square Goodness of Fit test can be   used.

A Chi-Square Goodness of Fit test is not   appropriate for determining the relationship between ethnicity and job type.

This test is used to assess thedistribution of categorical variables within a single population or sample,   comparing observed frequencies with expected frequencies.

To examine the relationship between ethnicity and job type, a Chi-Square test of independence   or another suitable statistical test, such as logistic regression,would be more appropriate.

Learn more about Chi- Square at:

https://brainly.com/question/4543358

#SPJ4

D. The project timeline not including holidays which the team members plan to take off does not represent a constraint described in Dempster's triangle.

The constraints described in Dempster's triangle are related to project scope, time, and resources, and typically include limitations on budget, technology, staffing, and other factors that may impact project success. While holidays may impact project scheduling, they are not typically considered a constraint in the same sense as other Dempster's triangle that directly impact project deliverables.

To know more about Dempster's triangle,

https://brainly.com/question/30780281

#SPJ11

Answer:

What are you asking?

Step-by-step explanation:

Answer: 1020

Step-by-step explanation:

300 + 200 = 500 + 520 = 1020

Step-by-step explanation:

$914.42 + $110= $1024.42 a month

Per month he pays $115 + $14 + $100 + $45 + $70 + $100 + $40

That comes to a total of $484 a month in expenses.

Subtract $484 from $1024.42

Assuming the side hustle is consistent that leaves $540.42 in additional income.

If he wants to afford the house rent, the best thing he can do is look for a better job. If that cannot be done for whatever reason, he should drop the Netflix subscription(+14), not go to the gym(+70), keep his pocketbook tight and not buy gifts(+40), and buy bulk type items from stores.

If he can make his dollar go farther by spending his money on bigger items of food he could probably spend only $85 a month on food.

With this advice he could save an additional $139 a month.

He now has $679. 42

He should also look at finding a cheaper bus pass around that $75 dollar range or just pay the fair whenever he gets on out of pocket (ONLY IF HE IS GOING TO WORK)

That totals out at $754.42

He can now afford rent.

Answer:

Both

Step-by-step explanation:

They will both give you the same answer.

-13-5 = -18

-13 + -5 = -18

The area after 15 years is 517.40km²

It is the quantity that expresses the content of the region on the plane or on a curved surface. Area is the size of the surface that can be calculated. It is the amount of space occupied by a two-dimensional figure. It is the quantity that measures the unit of squares. We get the area of the rectangle by multiplying length and width. The area of the figure is counted by the area of unit squares. It determines the area of the number of common shapes, including rectangle, trapezoid, circle, sector, ellipse etc.

y = A(1 - r)t

where,

A = initial area

r = rate

y = 1600(1 - 0.0725)

y = 1600\((0.9275)^{t}\)

here we put t=15, then we get

y=1600\((0.9275)^{15}\)

y=517.40 km²

Therefore, the area after 15 years is 517.40km²

To know more about area, visit:

https://brainly.com/question/27683633

#SPJ4

"https://www.wyzant.com/resources/answers/224267/a_certain_forest_covers_an_area_of_1600_km2_suppose_that_each_year_this_area_decreases_by_7_25_what_will_the_area_be_after_15_years"

The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.

To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:

We have:

Point: (0, 1)

Slope: 5xy

We can start by integrating the slope function to find the equation of the curve:

∫(dy/dx) dx = ∫(5xy) dx

Integrating both sides:

∫dy = ∫(5xy) dx

Integrating with respect to y on the left side gives us:

y = ∫(5xy) dx

To solve this integral, we treat y as a constant and integrate with respect to x:

y = 5∫(xy) dx

Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:

y = 5 * (1/2) * x^2y + C

Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:

1 = 5 * (1/2) * (0)^2 * 1 + C

1 = C

Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:

y = 5 * (1/2) * x^2y + 1

Simplifying further, we have:

y = (5/2) * x^2y + 1

To know more about equation of the curve refer here:

https://brainly.com/question/31467851#

#SPJ11

Answer:

66

Step-by-step explanation:

I have a lot to do so there won't be a step by step

The shape of vector A is not explicitly mentioned in the given question. However, based on the information provided, vector A appears to represent a three-dimensional vector in Cartesian coordinates, with components x, y, and z. The formula √(x² + y² + z²) indicates the magnitude or length of vector A.

In the context of vectors, a shape typically refers to the geometric representation of a vector, such as a line, plane, or point in space. Without further information, it is not possible to determine the exact shape or orientation of vector A.

However, the formula √(x² + y² + z²) represents the magnitude or length of vector A, which is calculated by taking the square root of the sum of the squares of its components (x, y, and z). This formula provides a scalar value that represents the magnitude or size of the vector, but it does not describe the shape or direction of the vector itself. To determine the shape or direction, additional information or context is needed.

What is the shape of vector A?

1. olursa a) V.A =? Ã = 2/12. f r² = (x² + y² + z²) xî+yj + zk ↑ = √x² + y² +z²

To learn more about Cartesian coordinates - brainly.com/question/105227

#SPJ11

Answer:

177 ft below sea level

Step-by-step explanation:

282

10 x 12 = 120. This represents how man ft the hot air balloon rose.

282 - 120 = 162. Keep in mind your still below sea level.

162 + 15 = 177

You add 15 because the hot air balloon is going down 15 feet which adds to being below sea level. ( Your going deeper/lower)

Answer:

a) 21.43% (It is unusual to happen)

b) 21.43%

c) 57.14%

d) Probability of you liking both songs played = 25%

Probability of liking exactly one song = 50%

Step-by-step explanation:

a)

If you like 4 of the 8 songs, the probability of liking the first song is 4/8

Then, for the second song, we have 3 songs you like among 7 songs that can be played, so the probability is 3/7.

So the probability of you liking both songs played is:

P = (4/8) * (3/7) = 0.2143 = 21.43% (It is unusual to happen)

b)

If you like 4 of the 8 songs, you dislike 4 as well, so the probability of not liking the first song is 4/8.

Then, for the second song, we have 3 songs you dislike among 7 songs that can be played, so the probability is 3/7.

So the probability of you disliking both songs played is:

P = (4/8) * (3/7) = 0.2143 = 21.43%

c)

In this case you can like either the first or the second song, so we need to sum the probabilities of both cases:

Probability of liking the first song and disliking the second:

P1 = (4/8) * (4/7) = 0.2857

Probability of disliking the first song and liking the second:

P2 = (4/8) * (4/7) = 0.2857

P = P1 + P2 = 0.5714 = 57.14%

d)

If a song can be replayed, we have:

Probability of you liking both songs played:

P = (4/8) * (4/8) = 0.25 = 25%

Probability of liking the first song and disliking the second:

P1 = (4/8) * (4/8) = 0.25

Probability of disliking the first song and liking the second:

P2 = (4/8) * (4/8) = 0.25

P = P1 + P2 = 0.5 = 50%

The fraction of KM that is required to obtain 20% Vmax is [S] = 0.2 KM.

The Michaelis-Menten equation is given by: V = Vmax[S] / (KM + [S])where, V is the velocity of the reaction, Vmax is the maximum velocity of the reaction,[S] is the substrate concentration, and KM is the Michaelis constant of the enzyme.

Substituting V = 0.2V

max and rearranging the equation,

0.2Vmax = Vmax[S] / (KM + [S])

Multiplying both sides by

(KM + [S]),0.2V

max(KM + [S]) = Vmax[S]

Expanding the equation,

0.2VmaxKM + 0.2Vmax[S]

= Vmax[S]0.2VmaxKM

= 0.8Vmax[S]

Dividing both sides by

Vmax,0.2KM = 0.8[S]

Simplifying the equation,

[S] = 0.2 KM / 0.8[S] = 0.25 KM

Therefore, the fraction of KM that is required to obtain 20% Vmax is [S] = 0.2 KM, which is option (a).

Learn more about velocity from:

https://brainly.com/question/80295

#SPJ11

Answer:

(g+5)x(g-3)

Step-by-step explanation:

To determine the best policy for Brennan Aircraft's plotter pen replacement, we can simulate the problem and compare the expected costs for both scenarios: replacing one pen or replacing all four pens each time a failure occurs.

Let's calculate the expected costs for each scenario:

Replacing one pen:

We'll calculate the expected cost per hour of plotter failure by multiplying the probability of each failure duration by the corresponding cost per hour, and then summing up the results.

Expected cost per hour = Σ(Probability * Cost per hour)

Expected cost per hour = (10 * 0.05 + 20 * 0.15 + 30 * 0.15 + 40 * 0.20 + 50 * 0.20 + 60 * 0.15 + 70 * 0.10) * $50

Expected cost per hour = $39.50

Replacing all four pens:

We'll calculate the expected cost per hour using the same method as above, but using the probability distribution for the scenario of replacing all four pens.

Expected cost per hour = (100 * 0.15 + 110 * 0.25 + 120 * 0.35 + 130 * 0.20 + 140 * 0.00) * $50

Expected cost per hour = $112.50

Comparing the expected costs, we can see that replacing one pen each time a failure occurs results in a lower expected cost per hour ($39.50) compared to replacing all four pens ($112.50). Therefore, the best policy for Brennan Aircraft would be to replace one pen each time a failure occurs.

To learn more about probability : brainly.com/question/31828911

#SPJ11

The area of the rectangle is increasing at a rate of 158 cm^2/s.

To find how fast the area of the rectangle is increasing, we can use the formula for the rate of change of the area with respect to time:

Rate of change of area = (Rate of change of length) * (Width) + (Rate of change of width) * (Length)

Given:

Rate of change of length (dl/dt) = 9 cm/s

Rate of change of width (dw/dt) = 8 cm/s

Length (L) = 13 cm

Width (W) = 6 cm

Substituting these values into the formula, we have:

Rate of change of area = (9 cm/s) * (6 cm) + (8 cm/s) * (13 cm)

= 54 cm^2/s + 104 cm^2/s

= 158 cm^2/s

Know more about rectanglehere:

https://brainly.com/question/15019502

#SPJ11

Answer:

Step-by-step explanation:

12

The length of arc FH in the circle 8.37 units.

We know that,

In mathematics, a circle is a closed two-dimensional shape that consists of all the points in a plane that are a fixed distance (called the radius) from a given point (called the center). Circles are used in many areas of mathematics and science, including geometry, trigonometry, and physics. They have important applications in areas such as engineering, architecture, and computer graphics.

Here,

To find the length of arc FH, we first need to find the measure of angle FGH in degrees. Since the sum of angles in a triangle is 180 degrees, we can use the fact that angles FGH and FGF are supplementary to find:

m∠FGF = 180 - m∠FGH = 180 - 86 = 94 degrees

Since FGF is an inscribed angle that intercepts arc FH, the measure of arc FH is twice the measure of angle FGF. So we have:

m(arc FH) = 2 × m∠FGF = 2 × 94 = 188 degrees

To find the length of arc FH, we need to know the circumference of circle G. Since we know that FG = 16 units, we can use this to find the radius of the circle:

r = FG/2 = 16/2 = 8 units

The circumference of the circle is then:

C = 2πr = 2π(8) = 16π

To find the length of arc FH, we need to find the fraction of the circumference that arc FH represents, and then multiply this by the total circumference. Since the measure of arc FH is 188 degrees out of a total of 360 degrees in the circle, we have:

Length of arc FH = (188/360) × C

Substituting the value of C, we get:

Length of arc FH = (188/360) × 16π

Simplifying and rounding to the nearest hundredth, we get:

Length of arc FH ≈ 8.37 units

To know more about circle,

brainly.com/question/26533660

#SPJ1

Answer:

11

Step-by-step explanation:

8+6=14

14-3=11

The zero of the function, from the given graph is -5. Therefore, option A is the correct answer.

The graph of a function is given below.

The zeros of a function are defined as the values of the variable of the function such that the function equals 0. Graphically, the zeros of a function are the points on the x-axis where the graph cuts the x-axis. In other words, we can say that the zeros of a function are the x-intercepts of its graph. The number of zeros of a polynomial function is equal to the degree of the polynomial.

From the given graph we can see the graph of function is passing through the x-axis at -5.

The zero of the function, from the given graph is -5. Therefore, option A is the correct answer.

To learn more about the zeros of a function visit:

https://brainly.com/question/18038662.

#SPJ1

All the angles in a triangle add up to 180 degrees.

40 + x + (5x + 14) = 180

54 + 6x = 180

6x = 126

x = 21 degrees

Answer:

x=21

Step-by-step explanation:

a triangle adds up to 180 degree so to find x we will use the formula

(5x+14)+x+40=180

subtract 40 from each side so we have

(5x+14)+x=140

we have 2 terms with the same factor (x) so combine like terms

6x+14=140

subtract 14 from both sides

6x=126

divide both sides by 6

x=21

check your answer

5(21)+14

105+14=119

119+ 21+40=180

so x is equal to 21

Answer:

y = \(\frac{c-ax}{b}\)

Step-by-step explanation:

ax + yb = c ( subtract ax from both sides )

yb = c - ax ( isolate y by dividing both sides by b )

y = \(\frac{c-ax}{b}\)

Answer:

y = -3/2 x + 4

Step-by-step explanation:

y-4 = -3/2 ( x-0)

y = -3/2 x + 4

Answer:

128 > 4*(x + 7)

Step-by-step explanation:

Given the following data;

Length = 4 meters

Width = x + 7 meters

Area = 128 m²

Mathematically, the area of a rectangle is given by the formula;

Area of rectangle = length * width

Substituting into the formula, we have;

128 > 4*(x + 7)

128 > 4x + 28

128 - 28 > 4x

100 > 4x

Dividing both sides by 4, we have;

25 > x