Use the formula for the sum of a geometric sequence to write the following sum in closed form. 3 + 32 +33 + 3", where n is any integer with n 2 1. +

Answer:

8.99.19 × 10^12 or

8991900000000

Step-by-step explanation:

9000000000000 (12 zeros)

Minus

8100000000 (8 zeros, the 1 takes the 9th decimal place)

Equals = 8991900000000

The expected instantaneous rate of change, denoted as r, for a geometric Brownian motion stock price (St) represents the average rate at which the stock price is expected to change at any given point in time. It is typically expressed as a constant or a deterministic function.

On the other hand, the expected return, denoted as r - 0.5σ^2, on the stock ln(St) over an interval of time [0,t] represents the average rate of growth or change in the logarithm of the stock price over that time period. It takes into account the volatility of the stock, represented by σ, and adjusts the expected rate of return accordingly.

The key difference between the two is that the expected instantaneous rate of change (r) for the stock price represents the average rate of change at any given moment, while the expected return (r - 0.5σ^2)t on the stock ln(St) over an interval of time considers the cumulative effect of volatility on the rate of return over that specific time period.

In other words, the expected instantaneous rate of change focuses on the average rate of change at a specific point in time, disregarding the impact of volatility. On the other hand, the expected return over a given interval of time accounts for the volatility in the stock price and adjusts the expected rate of return to reflect the effect of that volatility.

The expected instantaneous rate of change (r) for a geometric Brownian motion stock price represents the average rate of change at any given moment, while the expected return (r - 0.5σ^2)t on the stock ln(St) over an interval of time considers the cumulative effect of volatility on the rate of return over that specific time period.

To know more about Rate, visit

brainly.com/question/119866

#SPJ11

Answer:

5/12 ounces

Step-by-step explanation:

If each tube holds 1/3 oz of paint, the you multiply 1/3 by the number of tubes that she used. 1/3oz/tube(1.25 tubes)= 5/12 ounces

A graph is a function if it passes the vertical line test, meaning that no vertical line intersects the graph at more than one point. If the graph does not pass this test, it is not a function.

The graph is a function if each input value (x-coordinate) corresponds to exactly one output value (y-coordinate). To determine if a graph is a function, we can apply the vertical line test. If a vertical line intersects the graph at more than one point, then the graph is not a function.

Let's consider an example. If we draw a vertical line that intersects the graph at multiple points, then it is not a function. However, if the vertical line intersects the graph at most one point for any given x-coordinate, then it is a function.

In a function, each x-coordinate has a unique y-coordinate. For instance, the point (1, 3) represents that when x=1, y=3. If there is another point on the graph that has the same x-coordinate but a different y-coordinate, then the graph is not a function.

In summary, a graph is a function if it passes the vertical line test, meaning that no vertical line intersects the graph at more than one point. If the graph does not pass this test, it is not a function.

to learn more about graph

https://brainly.com/question/17267403

#SPJ11

10 mph more unusual.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a larger range, a low standard deviation suggests that the values tend to be near to the mean (also known as the anticipated value) of the collection.

The lower case Greek letter (sigma), for the population standard deviation, or the Latin symbol s, for the sample standard deviation, are most frequently used in mathematical literature and equations to indicate standard deviation. Standard deviation may be written as SD.

EXPLANATION : The speed recordings follow an approximately normal distribution the mean of

100 readings was 2384 mph. with a standard deviation of 3.56mph

The speed limit read 20 mph

We have to find the number of standard deviations from the mean that the car going

under the speed hmit would be

Let the car going under the speed 20mph bey standard deviations away from mean

That is.

20 — 23.84 +y(3.56)

20—2384 —1.078651685

So the car going under the speed limit would be less than or equal to 107865 standard

A car traveling 34 mph

The number of standard deviations from the mean that the car is going at 34mph is given by

That is the car going at 34mph is 2.8539 standard deviations above the mean

A car traveling at 10mph

The number of standard deviations from the mean that the car going at 10mph is given by.

y= 2.8539

That is. the car going at 10mph is 3.8876 standard deviations

We know from the empirical nile that 99.7% of the observations he with in ±3 standard

deviations from the mean for a normally distributed data

But the speed of 10mph is not within these limits, where as 34 mph is within these limits

So the car is  travelling t 10mph is more unusual

To know more about Standard deviation, visit;

https://brainly.com/question/16555520?referrer=searchResults

#SPJ4

Answer:

Sample because it's only the first ten games of the season not of all the games in the season

Step-by-step explanation:

Answer:

Sample but the power of a study is its ability to detect an effect when there is one to be detected. ... A sample size that is too small increases the likelihood of a Type II error skewing the results, which decreases the power of the study.

Within accompaniment order to be a population then it would need to be justifiable to be comparable to a larger cross section same teams different players that could be at the end of the season, and a population that shows cross section of change, such as the inevitable and include distractions that occur in sports as season starts and progresses till end. Examples of this would include ie) playing with man down etc. or against a team with man down or during penalties etc..

It only becomes a population when it defines all home games only being used as a population as this would show less distraction for each team. Which would be unlikely event in first 10 games, just like it would be unfair to not show the differences for away games within a population.

The higher proportion showing the whole season, thereafter would show population as things change too fast in seasonal events.

The coordinate of the point after the translation will be (-6, -2).

Given that:

Point, (11, -4)

Transformation rule, (x - 17, y + 2)

The translation does not change the shape and size of the geometry. But changes the location.

The coordinate of the point after the translation is calculated as,

⇒ (x - 17, y + 2)

⇒ (11 - 17, -4 + 2)

⇒ (-6, -2)

More about the transformation of the shape link is given below.

https://brainly.com/question/27224339

#SPJ1

Using inverse function concepts, it is found that:

The function given is:

\(f(x) = (x + 1)^2 - 3\)

To find the inverse, we exchange x and y, and isolate y, then:

\(y = (x + 1)^2 - 3\)

\(x = (y + 1)^2 - 3\)

\((y + 1)^2 = x + 3\)

\(\sqrt{(y + 1)^2} = \sqrt{x + 3}\)

\(y + 1 = \sqrt{x + 3}\)

\(y = \sqrt{x + 3} - 1\)

The inverse of the function is \(y = \sqrt{x + 3} - 1\), and the domain of the inverse function is \([-3, \infty]\).

A similar problem is given at https://brainly.com/question/13160937

Answer:

Step-by-step explanation:

Answer:

can u text yr question more clearly to understand

Step-by-step explanation:

Multiply inches by 2.54 to get centimeters. Multiply inches by 25.4 to get millimeters.

Answer:

Step-by-step explanation:

B) data summary its in the words it sums up the answers to all the data you've collected over timew

Answer:

To calculate the surface area and volume of a cylinder, we can use the following formulas:

a) Surface Area of a Cylinder:

The surface area of a cylinder consists of two circles (top and bottom) and the curved surface area.

The formula for the surface area of a cylinder is:

SA = 2πr² + 2πrh

Where:

SA = Surface Area

r = Radius of the base (half the diameter)

h = Height of the cylinder

Given that the diameter is 16 yards, the radius is half of that, so r = 8 yards. The height is 20 yards.

Substituting the values into the formula, we get:

SA = 2π(8)² + 2π(8)(20)

= 2π(64) + 2π(160)

= 128π + 320π

= 448π

So, the surface area of the cylinder is 448π square yards.

b) Volume of a Cylinder:

The formula for the volume of a cylinder is:

V = πr²h

Using the same values for the radius (r = 8 yards) and height (h = 20 yards), we can calculate the volume:

V = π(8)²(20)

= 64π(20)

= 1280π

The volume of the cylinder is 1280π cubic yards.

You are pushing a 40.0 kg crate across the floor. what force is needed to start the box moving from rest if the coefficient of static friction is 0.288?

The force needed to start the box moving from rest if the coefficient of static friction is 0.288 is 112.9 N.

Force is defined as an influence that causes an object to undergo a change in motion. Static friction: Static friction is a type of friction that must be overcome to start an object moving. The force needed to start the box moving from rest can be determined using the formula below:

Force of friction = Coefficient of friction × Normal force where: Coefficient of friction = 0.288

Normal force = Weight = mass × gravity (g) = 40.0 kg × 9.8 m/s² = 392 N

Force of friction = 0.288 × 392 N = 112.896 N (approx)

The force of friction is 112.896 N (approx) and since the crate is at rest, the force needed to start the box moving from rest is equal to the force of friction.

Force needed to start the box moving from rest = 112.896 N (approx) ≈ 112.9 N (rounded to one decimal place)

Learn more about static friction: https://brainly.com/question/13680415

#SPJ11

Answer:

-23.21

there should be a two part for this and the answer would be D y= 0.15x - 23.21

Step-by-step explanation:

The line of best will be y = 0.15x - 23.21  and the y-intercept is -23.21 after applying the formula.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

\(\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}\)

The data is given:

R(x)     W(y)

808     93

768     94

655     66

684     81

637     86

619     75

613     61

609     69

563     55

The line of best fit can be written as:

y = mx + c

Here m is the slope of the line best fit and c is the y-intercept

Putting the values in the formula we get:

m = 0.15

c = -23.21

The line of best fit is:

y = 0.15x - 23.21

Thus, the line of best will be y = 0.15x - 23.21  and the y-intercept is -23.21 after applying the formula.

Learn more about the line of best fit here:

brainly.com/question/14279419

#SPJ6

For the linear equations provided by the coordinates in the table;

The first equation of this system is y = -2x.

The second equation of this system is y = x - 3.

The solution to the system is (1, -2).

We have four points (-5,10), (-1,2), (0,0), and (11,-22) for first equation, and four points (-8,-11), (-2,-5), (1,-2), and (7,4) the second equation.

The slope (m) is given by the formula (y2 - y1) / (x2 - x1).

For the first line, we can use the points (-5,10) and (-1,2)

m1 = (2 - 10) / (-1 - (-5)) = -8/4 = -2.

the first equation is y = -2x

the second line, we can use the points (-8,-11) and (-2,-5)

m2 = (-5 - -11) / (-2 - -8) = 6/6 = 1.

the second line has a slope of 1,

the equation should have the form y = x + c.

To find c, we can use one of the points, for instance (-2,-5):

-5 = -2 + c => c = -5 + 2 = -3.

So, the second equation is y = x - 3.

the solution to the system, we need to find where the two lines intersect.

y = -2x

y = x - 3

Setting both equation equally

-2x = x - 3

=> 3x = 3

=> x = 1.

Substituting x = 1 into the first equation

y = -2(1) = -2.

the solution to the system of linear equation would be (1, -2).

Find more exercises on linear equation;

https://brainly.com/question/29739212

#SPJ1

i'm really good at all kinds of math, but this doesn't make any sense.

Answer:

a.the price per ticket?

Answer:

Given:

Model : Ship = 3 : 400

The surface area of the model = 7200 cm²

To Find:

The surface area of the actual ship in m²

Let's start with the map scale given:

Model : Ship = 3 : 400

We start by adding in a unit. Usually, we choose the units associated with the model:

Model : Ship = 3 cm : 400 cm

Now, according to tot the question, we know that the actual ship is in m:

Model : Ship = 3 cm : 400 ÷ 100 m

Model : Ship = 3 cm : 4 m

The question asked for surface area, so the units have to be in squares:

Model : Ship = (3 cm)² : (4 m)

Model : Ship = 9 cm² : 16 m²

Now, that we have the units set correctly according to the question requirement, we will find 1 branch of the model:

Model : Ship = 9 cm² : 16 m²

Model : Ship = 9÷9 cm² : 16÷9 m²

Model : Ship = 1 cm² : 16/9 m²

Finally, we can find the required units by multiplying both sides with the required units:

Model : Ship = 1 cm² : 16/9 m²

Model : Ship = 1 x 7200 cm² : 16/9 x 7200 m²

Model : Ship = 7200 cm² : 12800 m²

Answer: The surface area of the ship is 12800 m²

(by the way, this was copied from the same website)

hope this helps :)

Answer:

x-intercepts: (12, 0)

Step-by-step explanation:

Answer:

7 - 2m can be translated to "7 minus two times m" or "the difference between 7 and twice m".

3(m + 2) = 15 can be translated to "three times the sum of m and 2 is equal to 15" or "the product of 3 and the sum of m and 2 is 15".

To solve the equation, we can start by distributing the 3 on the left side:

3(m + 2) = 15

3m + 6 = 15

Then, we can subtract 6 from both sides:

3m + 6 - 6 = 15 - 6

3m = 9

Finally, we can divide both sides by 3:

3m/3 = 9/3

m = 3

Therefore, the solution to the equation 3(m + 2) = 15 is m = 3.

5m - m(2 - m) can be translated to "5m minus the product of m and the difference between 2 and m" or "the difference between 5m and m times the quantity 2 minus m".

To simplify the expression, we can use the distributive property to expand the second term:

5m - m(2 - m) = 5m - 2m + m^2 = m^2 + 3m

Therefore, the simplified expression is m^2 + 3m.

Answer:

2.3

Step-by-step explanation:

6.1 =0.8+0.8+x+x

6.1=1.6 +2x

6.1-1.6 = 2x

4.5/2=2x/2

x=2.25

x=2.3

Answer:

x=7

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

given f(x) = 6x - 6 and f(x) = 36 , then equating gives

6x - 6 = 36 ( add 6 to both sides )

6x = 42 ( divide both sides by 6 )

x = 7

Answer: Formula is 2πr^2

Step-by-step explanation:

plug in and it is 196*π

Answer: A= 196\(\pi\)  

Step-by-step explanation:

The area of a circle formula:

A=\(\pi r^{2}\)                       >r=14   substitute in

A=  \(\pi( 14^{2} )\)                >simplify 14²

A= 196\(\pi\)                   > leave pi  like a variable x to leave in terms of pi, do

                                      not multiply by 3.14

By using the unitary method , the cost of one shotgun shell to determine that the cost of shooting the last 6 ducks would be $6.86.

The unitary method involves finding the value of one unit and then using that value to find the value of a given number of units. In this problem, we can use the number of shotgun shells as the unit of measurement. Let's say Bill used x shotgun shells to shoot 8 ducks on his previous hunting trip. Therefore, the cost of shooting 8 ducks would be the cost of x shotgun shells.

Now, we know that Bill shot 14 ducks using the same amount of shotgun shells he used on his previous trip. Therefore, the cost of shooting 14 ducks would be the cost of x shotgun shells. We can use a proportion to find the value of x.

8 ducks can be shot using x shotgun shells, so 14 ducks can be shot using (14/8) x x shotgun shells.

Simplifying this expression, we get:

(14/8) x x = 14 ducks

x = (8/14) x 14 ducks

x = 8/7 ducks

So, Bill used 8/7 shotgun shells to shoot 1 duck on his previous hunting trip.

Now, to find the cost of shooting the last 6 ducks, we need to determine how many shotgun shells he would need. Using the unitary method again, we can say:

1 duck can be shot using 8/7 shotgun shells, so 6 ducks can be shot using 6 * (8/7) shotgun shells.

Simplifying this expression, we get:

6 x (8/7) = 48/7 shotgun shells

Therefore, to shoot the last 6 ducks, Bill would need 48/7 shotgun shells. To determine the cost, we need to know the cost of one shotgun shell. Let's say the cost of one shotgun shell is $1. Then the cost of shooting the last 6 ducks would be:

(48/7) x $1 = $6.86 (rounded to the nearest cent)

To know more about unitary method here

https://brainly.com/question/28276953

#SPJ4

The observation is located to the left of the mean by a distance of 1.2 standard deviations.

The z-score of an observation represents the number of standard deviations the observation is away from the mean.

If the z-score for a particular observation is z = -1.2, this means that the observation is 1.2 standard deviations below the mean.

If the mean is represented by μ and the standard deviation by σ, then we can express this observation as:

observation = μ + (z * σ)

observation = μ + (-1.2 * σ)

This means that the observation is located to the left of the mean by a distance of 1.2 standard deviations.

For example, The z-score represents the number of standard deviations an observation is above or below the mean of the distribution.

In this case, a z-score of -1.2 indicates that the observation is 1.2 standard deviations below the mean height of the group.

Learn more about z-score

brainly.com/question/15016913

#SPJ11

Answer: 10 km

Step-by-step explanation:

Answer:

Some ways to write 4 times x are: 4x, 4*x

Answer: TRUE

SUIIIIIIIII

The statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.

A subspace is a vector space that is also encompassed within another vector space.

So, while each subspace is a vector space in its own right, it is also defined with respect to another (bigger) vector space.

Three components must be demonstrated to prove that a subset is a subspace:

Additionally, demonstrate that it is closed.

Show that it is closed when scalar multiplication is used.

Show that vector 0 is a part of the subset.

As it is stated in the question;

h represents a subset of the vector space v.

The zero vector is contained in h.

This implies that h must be in the v subspace.

Hence, the statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.

To learn more about the subspace of vectors click here

brainly.com/question/28709891

#SPJ12

Answer:

3 more girls than boys.

Step-by-step explanation:

Let's change 4:5 to 4x(boys) and 5x(girls).

Since there are 27 students, the equation would be:

4x+5x=27

Then, you simplify the equation:

9x=27

x=3

We are not finished yet!

Since there is 4x boys and 5x girls,

do 4 times 3 which gets you 12 boys

and 5 times 3 which gets you 15 girls.

15 girls minus 12 boys is 3 more girls than boys!

Hope this helps :)

Answer:

15 dance students

Step-by-step explanation:

If each class is divided into 6 equal groups and there are 18 in each group and 18/6=3, then for 5 classes, it would be 5x3 which =15