Match each of the following with the correct statement. A. The series is absolutely convergent. C. The series converges, but is not absolutely convergent. D. The series diverges. 1. Σ 1 00 =1 (-1)"+1 71+1 2. Σ' (-2)" =1 n 3. Σ. sin (6) n1 nº 1-1" (n+4)! . n!5" 4.(-1)+1 (9+n)2 (n2)520 5. Σ.

Answer:

I think its d.8. it sounds like the correct answer.

The required number of roses would be 8. which is the correct answer would be an option (D).

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

The carnations cost $5.25 in all. The roses are $1.68 each. If Fred spent $18.69 altogether.

Let's assume that x would be the number of roses.

According to the given question,

$5.25 + $1.68 × x = $18.69

5.25 + 1.68x = 18.69

1.68x = 18.69 - 5.25

1.68x = 13.44

x = 13.44/1.68

Apply the division operation,

x = 8

Therefore, the required number of roses would be 8.

Hence, the correct answer would be option (D).

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ2

Answer:

Rope = 2 meters  (nearest meter)

Step-by-step explanation:

p + b = 311.25       Eq. 1

p = 4b                   Eq. 2

p = length of the rope.

b = length of the ribbon.

replacing Eq. 2 in the Eq, 1:

(4b) + b = 311.25

5b = 311.25

b = 311.25/5

b = 62.25

from the Eq. 2

p = 4b

p =4*62.25

p = 249 cm

Check:

from the Eq. 1

p + b = 311.25

249 + 62.25 = 311.25

Answer:

1 metre = 100 cm

249 cm = 249 / 100 = 2.49 m

the nearest metre is:

2 meters

To select an appropriate probability distribution using probability plotting as a basis for your selection and if the percent profit has a normal probability distribution, the steps are as follows:

Step 1: First, create a set of random numbers in Excel that you want to use to generate a probability plot. This can be done by typing \(\("=RAND()"\)\)into the first cell and dragging down to create as many numbers as you want.

Step 2: Next, sort the numbers in ascending order by selecting the range of cells and clicking the "Sort Smallest to Largest" button under the "Data" tab. This step is important for creating a probability plot.

Step 3: To create a probability plot, click on the "Insert" tab and select "Scatter." Then select the "Scatter with Straight Lines and Markers" option. This will create a scatter plot with a straight line fit through the data points.

Step 4: Right-click on the data points and select "Add Trendline." In the "Format Trendline" window, select the "Linear" option and check the box for "Display Equation on chart." This will add a line equation to the chart.

Step 5: To test if the percent profit has a normal probability distribution, compare the line equation to the standard normal distribution equation, which is y = x. If the line equation is close to y = x, then the data follows a normal distribution.

To know more about probablity,visit:

https://brainly.com/question/31722868

#SPJ11

If we had a polynomial-time algorithm for computing the length of the shortest TSP tour, then we would also have a polynomial-time algorithm for finding the shortest TSP tour by using the following approach: Generate all possible tours, For each tour, compute its length, The shortest tour is the one with the minimum length.

The first step, generating all possible tours, can be done in polynomial time. This is because the number of possible tours is a polynomial function of the number of cities.

The second step, computing the length of each tour, can also be done in polynomial time. This is because the length of a tour is a polynomial function of the distances between the cities.

Therefore, the overall algorithm for finding the shortest TSP tour is polynomial-time.

Visit here to learn more about polynomial function:

brainly.com/question/29047085

#SPJ11

The required answer is the annual cost saved by shifting from the 500-bag lot size to the EOQ is $1,059.92.

Explanation:-

a. Economic order quantity (EOQ) is defined as the optimal quantity of inventory to be ordered each time to reduce the total annual inventory costs.

It is calculated as follows: EOQ = sqrt(2DS/H)

Where, D = Annual demand = 100 x 52 = 5200S = Order cost = $57 per order H = Annual holding cost = 0.30 x 10.75 = $3.23 per bag per year .Therefore, EOQ = sqrt(2 x 5200 x 57 / 3.23) = 234 bags. The average time between orders (TBO) can be calculated using the formula: TBO = EOQ / D = 234 / 100 = 2.34 weeks ≈ 2 weeks (rounded to nearest whole number).

Hence, the EOQ is 234 bags and the average time between orders is 2 weeks (approx).b. R is the reorder point, which is the inventory level at which an order should be placed to avoid a stockout.

It can be calculated using the formula:R = dL + zσL

Where,d = Demand per day = 100 / 5 = 20L = Lead time = 1 week (5 working days) = 5 day

z = z-value for 92% cycle-service level = 1.75 (from standard normal table)σL = Standard deviation of lead time demand = σ / sqrt(L) = 16 / sqrt(5) = 7.14 (approx)

Therefore,R = 20 x 5 + 1.75 x 7.14 = 119.2 ≈ 120 bags

Hence, the reorder point R should be 120 bags.c. An inventory withdraw of 10 bags was just made. Is it time to reorder?The current inventory level is 310 bags, which is greater than the reorder point of 120 bags. Since there are no open orders or backorders, it is not time to reorder.d. The store currently uses a lot size of 500 bags (i.e., Q = 500).What is the annual holding cost of this policy.

Annual ordering cost. Without calculating the EOQ, how can you conclude the lot size is too large?Annual ordering cost = (D / Q) x S = (5200 / 500) x 57 = $592.80 per year.

Annual holding cost = Q / 2 x H = 500 / 2 x 0.30 x 10.75 = $806.25 per year. Total annual inventory cost = Annual ordering cost + Annual holding cost= $592.80 + $806.25 = $1,399.05Without calculating the EOQ, we can conclude that the lot size is too large if the annual holding cost exceeds the annual ordering cost.

In this case, the annual holding cost of $806.25 is greater than the annual ordering cost of $592.80, indicating that the lot size of 500 bags is too large.e.

The annual cost saved by shifting from the 500-bag lot size to the EOQ can be calculated as follows:Total cost at Q = 500 bags = $1,399.05Total cost at Q = EOQ = Annual ordering cost + Annual holding cost= (D / EOQ) x S + EOQ / 2 x H= (5200 / 234) x 57 + 234 / 2 x 0.30 x 10.75= $245.45 + $93.68= $339.13

Annual cost saved = Total cost at Q = 500 bags - Total cost at Q = EOQ= $1,399.05 - $339.13= $1,059.92

Hence, the annual cost saved by shifting from the 500-bag lot size to the EOQ is $1,059.92.

To know about annual cost . To click the link.

https://brainly.com/question/14784575.

#SPJ11

Answer:

f(x)=-5(x-1)^2

Step-by-step explanation:

The given parent function is: f(x)=x^2

If we shift to the right by 1 unit, the function becomes: f(x)=(x-1)^2

If we stretch by a factor of 5, the function becomes, f(x)=5(x-1)^2

Finally reflecting over the x-axis gives: f(x)=-5(x-1)^2

The sample size is needed to achieve a margin of error of .05 for a 90% confidence interval for a proportion of interest to be near 0.25 is equals to the 203.

From the above problem we have,

Mardin of error, E = 0.05

confidence interval, α = 90%

proportion of interest, p = 0.25

We have to determine the sample size.

Using the formula for minimum sample size is written as n = (Z² × p(1 -p)]/E² --(1)

Using the Z-distribution table and the z-score value for 90% is equals to 1.645.

Plug all known values in above equation,

=> n = [(1.645)² × 0.25 ( 1 - 0.25)]/(0.05)²

=> n = (1.645)² × 0.25 ×0.75/(0.05)²

=> n = 0.5074/0.0025

=> n = 202.96 ~ 203

Hence, required sample value is 203

For more information about sample size, refer;

https://brainly.com/question/30528695

#SPJ4

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

Explanation:

The given equation is in the form of ax^2+bx+c = 0

The coefficients are

According to Vieta's formula, we know that the roots of a quadratic multiply to c/a

In this case, the roots multiply to -3/2

Let p and q be the two roots. We're told that -3 is one of the roots, so p = -3. Let's find q.

pq = c/a

-3q = -3/2

q = (-3/2)*(-3/1)

q = 1/2

q = 0.5

The other root is 0.5

The product of the roots is -3*0.5 = -1.5 = -3/2 to confirm the answer.

-------------

The longer way to solve would be to plug x = -3 into the equation and solve for k. You should get k = 5

Once you know the value of k, use the quadratic formula to find the two roots. You should get -3 and 1/2 = 0.5 as the two roots.

Answer:

63%

Step-by-step explanation:

To write a decimal as a percentage, you simply multiply it by 100. 0.63 * 100 is 63, so your final answer would be 63%.

FINAL ANSWER: 63%

\(f(x) = \frac{1}{9}x + 2 \\ \)

\(y = \frac{1}{9}x + 2 \\ \)

Subtract the sides of the equation minus 2

\(y - 2 = \frac{1}{9}x \\ \)

Multiply the sides of the equation by 9

\(9(y - 2) = x\)

\(9y - 18 = x\)

So ;

\( {f}^{ - 1}(x) = 9x - 18 \)

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

The given line has a slope of 0.5, so our parallel line will also have a slope of 0.5. So, the equation of the line that passes through (5, 9) and is parallel to the line y - 4 = 0.5(x + 8) is y = 0.5x + 6.5.

Next, we need to find the y-intercept of the parallel line. We can use the point-slope form of a linear equation to do this:
y - y1 = m(x - x1)
where m is the slope, and (x1, y1) is a point on the line. We know that the line passes through (5, 9), so we can substitute these values:
y - 9 = 0.5(x - 5)
Now we can simplify this equation:
y - 9 = 0.5x - 2.5
y = 0.5x + 6.5
This is the equation of the line that passes through (5, 9) and is parallel to the line y - 4 = 0.5(x + 8).

Let's find the equation of the line that passes through (5, 9) and is parallel to the line y - 4 = 0.5(x + 8).
Step 1: Determine the slope of the given line
The given line is in point-slope form: y - y1 = m(x - x1), where m is the slope. In this case, y - 4 = 0.5(x + 8), so the slope (m) is 0.5.
Step 2: Find the slope of the parallel line
Since parallel lines have the same slope, the parallel line will also have a slope of 0.5.
Step 3: Use the point-slope form to write the equation of the parallel line
We know the point (5, 9) and the slope 0.5. Plug these values into the point-slope form: y - y1 = m(x - x1).
y - 9 = 0.5(x - 5)
Step 4: Simplify the equation (optional)
If you want to put it in the slope-intercept form (y = mx + b), you can simplify it further:
y - 9 = 0.5x - 2.5
y = 0.5x + 6.5
So, the equation of the line that passes through (5, 9) and is parallel to the line y - 4 = 0.5(x + 8) is y = 0.5x + 6.5.

learn more about point-slope form here: brainly.com/question/29054476

#SPJ11

The solution to the system of linear equations is x = -2 and y = -4

An Algebraic equation is a mathematical statement that shows the equality between two or more quantities.

An Algebraic equation may be linear, quadratic or Polynomic depending on the highest degree on the variables.

y = 3x + 2 ---------------1

y = -2x - 8 ---------------2

Equating equations 1 and 2 to find the value of x

3x + 2 = -2x - 8

Collecting like terms

3x + 2x = -8 - 2

5x = -10

x = -10/5

x = -2

Substitute x = -2 in equation 1

y = 3(-2) + 2

y = -6 +2

y = -4

In conclusion, the solution to the system of equations is x = -2 and x = -4

Learn more about Algebraic equations: https://brainly.com/question/2164351

#SPJ1

The area of a rhombus can be found by multiplying the length of one of its sides by the height of a perpendicular line from the center to a side.

The height of the rhombus is the distance from the center of the rhombus to one of its sides, perpendicular to that side.

The formula for the area of a rhombus can be written as A = s*h, where A is the area, s is the length of one of the sides of the rhombus, and h is the height of the rhombus.

It's important to note that this method of finding the area of a rhombus without diagonals can only be used when the rhombus is a regular polygon, a polygon with all sides and angles congruent. When the rhombus is not a regular polygon, then you can find the area by using the diagonals.

Additionally, it's important to mention that a rhombus can be defined as a parallelogram with all sides congruent or a square with its angles not 90 degrees.

To know more about area of a rhombus on the link below:

https://brainly.com/question/12783973#

#SPJ11

The formula for the volume of a cone, V = (1/3)·π·r²·h, indicates that doubling the radius, quadruples the volume while doubling the height doubles the volume. Therefore;

A cone is a three dimensional figure formed by lines that extend between a point and the circumference of the circular base, where the point is located on the a line perpendicular to and passing through the center of the circular base.

The formula for the volume of a cone is; V = (1/3) × π × r² × h

Where;

V = The volume of the cone

r = The radius of the cone

h = The height of the cone

Therefore;

When the radius is doubled, we get;

V₁ = (1/3) × π × (2·r)² × h = (1/3) × π × 4 × r² × h = 4 × (1/3) × π × r² × h

When the radius of the cone is doubled, the volume of the cone increases 4 times the initial volume

When the height of the cone is doubled, we get;

V₂ = (1/3) × π × r² × 2·h = 2 × (1/3) × π × r² × h = 2·V

When the height of the cone is doubled, the volume of the cone is doubled.

Therefore, doubling the radius of the cone which increases the volume to four times the initial volume has the greater effect on the volume of the cone than doubling the height which doubles the volume of the cone.

Learn more on the volume of a cone here: https://brainly.com/question/22757327

#SPJ1

Answer:

12 lasts 16

18 lasts x

x=16• 18/12

x= 24

The consecutive integers such 4 that times the smaller integer is 50 less than 6 times the larger integer are 22 and 23.

Let the consecutive integers be x and x + 1.

In this case, the integers are such 4 that times the smaller integer is 50 less than 6 times the larger integer.

This will be:

4(x) = 6(x + 1) - 50

4x = 6x + 6 - 50

Collect like terms

4x - 6x = -44

-2x = -44

Divide

x = 44/2

x = 22

Also, x + 1 = 22 + 1 = 23

The numbers are 22 and 23.

Learn more about integers on:

brainly.com/question/17695139

#SPJ1

Answer:

10.50 is what she has left to spend

Answer:

10.50

Step-by-step explanation:

subtract 6.50 from 17.00

Answer:

8 7/14 - 9/14= 55/7

7 - 5/9 = 58/9

6 17/20 - 4 =  57/20

Answer:

40 in^3

Step-by-step explanation:

5 x 4 x 2 = 20 x 2 = 40

Answer:

2.45 seconds to the nearest hundredth.

Step-by-step explanation:

Acceleration a = -5, distance s = 15, time  = ?.

Final  velocity = v =  0.

We need to use the equations of motion under constant acceleration.

v^2 = u^2 + 2as       where u is the initial velocity

0 = u^2 + 2*-5*15

u^2 = 150

so u = √150

Now we use v = u + at:

0 = √150 - 5t

t = √150/5

t = 2.45 seconds.

The range of the set of scores is 13.

Here,

The set of scores:

7, 8, 11, 15, 17, 20

We have to find the range of the set of scores.

What is Range of set?

The range is the difference between the highest and lowest values within a set of numbers. To calculate range, subtract the smallest number from the largest number in the set.

Now,

The highest number = 20

The lowest number = 7

Hence, Range of the data set = 20 - 7 = 13

So, The range of the set of scores is 13.

Learn more about the range visit:

https://brainly.com/question/14111289

#SPJ4

The unreasonable ineffectiveness of mathematics in the natural sciences is a phrase coined by physicist Eugene Wigner in his famous 1960 essay of the same name. Wigner observed that mathematics, despite being an incredibly powerful and precise tool, often fails to fully capture or explain certain phenomena in the natural sciences.

He noted that while mathematical models can provide valuable insights and predictions, they often fall short of fully describing complex physical systems.

Wigner argued that this was an unexpected and mysterious aspect of the relationship between mathematics and the natural sciences. He suggested that perhaps the universe operates in a way that is fundamentally beyond our mathematical comprehension, or that we have yet to discover the correct mathematical language to describe it.

Despite this, Wigner acknowledged that mathematics has still been an incredibly successful and indispensable tool in the natural sciences, allowing us to make tremendous advances in fields such as physics, chemistry, and biology.

Learn more about mathematics  here:

https://brainly.com/question/27235369

#SPJ11

Answer:

64ft

Step-by-step explanation:

In Python, the term "hitters data" refers to a dataset that details the hitting statistics of Major League Baseball (MLB) players.

It is a well-known dataset in the area of sports analytics and is frequently utilized in applications for data analysis and machine learning.

The player name, team, and different statistics like hits, runs, home runs and batting averages are often variables in the Hitters dataset. To examine player performance and spot trends or patterns in the data, the dataset may be employed.

The Hitters dataset may be imported and worked with in Python using a variety of tools, including Pandas, NumPy, and Scikit-learn. Based on Hitter's data, these libraries enable data cleansing, exploratory analysis, and the construction of predictive models.

Learn more about python at

https://brainly.com/question/30655514

#SPJ4

Answer:

Step-by-step explanation:

you gotta multiply the mins which is 40 by 60 which is 2, 400 meters per hour

Answer:

6

Step-by-step explanation:

(360-120)/(60-20)

=240/40

=6

hope this helps

Answer: 3/2

Step-by-step explanation:

To find the slope of the line that passes through the points (2, 1) and (0, -2), we can use the formula:

m = (y2 - y1) / (x2 - x1)

where:

m = slope of the line

(x1, y1) = coordinates of the first point

(x2, y2) = coordinates of the second point

Plugging in the values we have, we get:

m = (-2 - 1) / (0 - 2)

m = -3 / -2

m = 3/2

Therefore, the slope of the line that passes through the points (2, 1) and (0, -2) is 3/2.

Answer:

-72

Step-by-step explanation:

Assuming it is -x^2 - x and not (-x)^2, then you simply plus in -9 for x:

-(-9)^2-(-9) = -72

Answer:

9.2

Step-by-step explanation:

Find the coordinates and plug em into the equation. (-5,5) (1,-2)

Square root 85 is 9.2.

Answer:

9.2 (if rounded to the nearest tenth)