15/14 divided by -3/2

Answer: f(n) = 2n - 2

Therefore, we can use this formula to find the value of f(n) for any positive integer n.

Step-by-step explanation: Using the given recursive formula:

f(1) = 0

f(n) = f(n-1) + 2

We can find the values of f(n) for different values of n:

f(1) = 0

f(2) = f(1) + 2 = 0 + 2 = 2

f(3) = f(2) + 2 = 2 + 2 = 4

f(4) = f(3) + 2 = 4 + 2 = 6

f(5) = f(4) + 2 = 6 + 2 = 8

And so on.

We can see that each term in the sequence is 2 more than the previous term. So, we can write the general formula for f(n) as:

f(n) = 2n - 2

Therefore, we can use this formula to find the value of f(n) for any positive integer n.

A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.

To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.

For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:

150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms

Therefore, 150 pounds is approximately equal to 68.0388 kilograms.

In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.

It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.

For such more question on metric units

https://brainly.com/question/30951620

#SPJ8

Answer:

C

Step-by-step explanation:

simply think about t = 0 (right at the beginning of the flight of the ball). everything in the functional expression turns to 0 except for the constant term 4.

that is the starting position or height of the ball, right when it gets hit.

so, for the height calculation this has to be added at all times to find the accurate height of the ball.

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

For more such questions on graph

https://brainly.com/question/19040584

#SPJ8

A. The value of cos 240° = \(\frac{-1}{2}\)

B. The value of sin 240° = \(-\frac{\sqrt{3} }{2}\)

What are basic Trigonometric functions?

The angles of sine,  cosine, and tangent are the primary classification of functions of trigonometry. And the three functions which are cotangent, secant, and cosecant can be derived from the primary functions. Basically, the other three functions are often used as compared to the primary trigonometric functions.

Part A:

we know that, cos (a +b)=cos a cos b - sin a sin b

cos 240° = cos (60° +180°)

=cos 60° cos 180° - sin 60° sin 180°

=\(\frac{1}{2} *(-1)-\frac{\sqrt{3} }{2} *0\)

=\(\frac{-1}{2}\)

Part B:

we know that, sin(a- b)=sin a cos b - cos a sin b

sin 240° = sin(270° - 30°)

=sin 270° cos 30° - cos 270° sin 30°

=\(-1 *\frac{\sqrt{3} }{2}-0*\frac{1}{2}\)

=\(-\frac{\sqrt{3} }{2}\)

To learn more about trigonometric functions, refer below:

https://brainly.com/question/25618616

#SPJ1

The data you provided consists of the propagation lives (in flight hours per 104) required for fatigue cracks to reach a certain size in fastener holes used in military aircraft.

This data can be used to understand the behavior of fatigue cracks and how they propagate in different materials and under different stress conditions.

The information gathered from this data can be used to improve the design and manufacturing processes of fastener holes, making them more resistant to fatigue and increasing their overall durability and safety.

Additionally, this data can also be used to establish maintenance schedules and inspection protocols for military aircraft, ensuring that any potential cracks are detected and repaired before they reach critical sizes.

For such more question on propagation

https://brainly.com/question/29330718

#SPJ4

Answer:

y=-3x+4

Step-by-step explanation:

Its easy

Answer:

y = 3x +4

Step-by-step explanation:

hope this helps you out on your work

The best representation of the data would be a D. Dot plot - because a small number of scores are reported individually and for each class.

While the two data visualization charts look good for plotting data frequencies, the choice goes to the data visualization chart that more accurately represents the small data set, which is the dot plot.

Learn more about the difference between dot plots and histograms at https://brainly.com/question/23402662

Answer:

D.) Dot plot, because a small number of scores are reported individually

Step-by-step explanation:

Since the Data is not presented in ranges, we know it is better to not use a histogram. Also, dot plots are best for plotting individual data such as what is shown in the table! pleaseee give brainiest I need the points!!! :)

Answer:

Step-by-step explanation:

The angle of depression is the downward angle the air traffic controller

looks down from in the tower.  It also equals the angle of elevation which is the angle formed by the runway and the line of sight.

With this information you can find the remaining angle:

180 - (90 + 18)

180 - 108 = 72

Let Angle B = 72°

Angle A = 18°

Angle C =90°

We have one side - 140 feet - this is side a - it is across from angle A.

There is a right triangle formed by the runway (side b) the tower, side a, and the line of sight (side c)

Using the law of sines:

sin A/a = sinB/b

sin 18°/a = sin72°/b

.3090/140 = .9510/x

cross multiply and then divide

140 × .9510/.3090

133.14/.3090

430.873 ft

round to a tenth = 430.9 ft

The limit of each function at the given point i n the question 10 to 14, is explained below.

A function may get close to two distinct limits. There are two scenarios: one in which the variable approaches its limit by values larger than the limit, and the other by values smaller than the limit. Although the right- and left-hand limits are present in this scenario, the limit is not defined.

When a variable approaches its limit from the right, the function's right-hand limit is the value that approaches.a

10). The limit of f(z) = Arg z as z approaches Zo = 1 does not exist. This is because the argument function is not continuous at the point z = 1, where there is a branch cut.

11). The limit of f(z) = \((1 - lm z)^{-1}\) as z approaches z0 = -8 does not exist. This is because the function approaches infinity as z approaches -8 from the left, and negative infinity as z approaches -8 from the right.

However, if we consider the limit of f(z) as z approaches z0 = -8 + i from both the left and the right, the limit exists and is equal to 0. This is because in the complex plane, the value of Im z cannot exceed 1, so as z approaches -8 + i, the denominator (1 - Im z) approaches 0, and the function approaches infinity. However, the numerator approaches a finite value of 1, which cancels out the denominator, and the overall limit is equal to 0.

12). The limit of f(z) = (z - 2) log(z - 2) as z approaches z0 = 2 is 0. This is because the term (z - 2) approaches 0 as z approaches 2, and log(z - 2) approaches 0 as well because log(z - 2) is continuous at z = 2. Therefore, the limit is equal to 0.

13). The limit of f(z) = -1/z as z approaches z0 = 0 does not exist. This is because as z approaches 0, the magnitude of 1/z approaches infinity, but the direction of approach depends on which quadrant the limit is approached from. Since the limit does not approach a unique value from all directions, the limit does not exist.

14). The limit of f(z) = 2 + \(2^{1/z}\) as z approaches infinity does not exist. This is because as z approaches infinity, the term  \(2^{1/z}\) approaches 1, and the limit approaches 2 + 1 = 3. However, if we approach infinity along the real axis, the limit of \(2^{1/z}\) approaches 1, but if we approach infinity along the imaginary axis, the limit of \(2^{1/z}\) approaches infinity. Therefore, the limit of f(z) does not exist.

Learn more about limit of function, visit:

https://brainly.com/question/7446469

#SPJ1

The (A ∪ B) ∩ (A ∪ C) ∩ (B ∪ C) ∩ (B ∩ C) ∩ C is an empty set {}.To find the sets A ∪ B, A ∩ B, A ∪ C, A ∩ C, B ∪ C, and B ∩ C, we can perform the following operations:

A ∪ B: The union of sets A and B includes all unique elements from both sets, resulting in {10, 11, 12, 13, 14, 16}.

A ∩ B: The intersection of sets A and B includes only the common elements between the two sets, which are {10, 12}.

A ∪ C: The union of sets A and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 13}.

A ∩ C: The intersection of sets A and C includes only the common elements, which is {10, 11}.

B ∪ C: The union of sets B and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 14, 16}.

B ∩ C: The intersection of sets B and C includes only the common elements, which is an empty set {} since there are no common elements.

Finally, performing the remaining operations:

(A ∪ B) ∩ (A ∪ C): This is the intersection of the union of sets A and B with the union of sets A and C. The result is {10, 11, 12, 13} since these elements are common to both unions.

(B ∪ C) ∩ (B ∩ C): This is the intersection of the union of sets B and C with the intersection of sets B and C. Since the intersection of B and C is an empty set {}, the result is also an empty set {}.

For more such questions on empty set

https://brainly.com/question/1363314

#SPJ8

Answer:

Below

Step-by-step explanation:

Find unit rate (since it starts at 0,0)

at 45 seconds  it is 900 bottles

             900 bottles / 45 seconds = 20 bottle / sec

20 bottles / sec * 80 sec = 1600 bottles

Step-by-step explanation:

speed=distance÷time

A.V.S=440÷11=40m/s

hope it helps.. Please mark brainliest.

Answer:

40 m/s

Step-by-step explanation:

Find:

We are asked to find the unit rate, How many meters per 1 second?

Know:

440 meters in 11 seconds

Solve:

440 meters in 11 seconds

  ? meters in 1 second

   440/11  = 40 meters per second

Answer:

The average speed of the person is 40 m/s

Answer:

1/2x-2

Step-by-step explanation:

i might be wrong

The inequality will be 2 < 0.5x. Then the value of x is greater than 4.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Two less than 50% of x.

Then the inequality is written as,

2 < 0.5x

Then the value of x will be

x > 2/0.5

x > 4

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ5

Answer:

The depreciated value of the car after 1 yr is ​$16,353

The depreciated value of the car after 2 yr is ​$12,264.75

Step-by-step explanation:

Given

purchase amount P= $21,804

rate of depreciation R= 25%

applying the formula for the car deprecation we have

\(A= P*(1-\frac{R}{100} )^n\)

Where,

A is the value of the car after n years,

P is the purchase amount,

R is the percentage rate of depreciation per annum,

n is the number of years after the purchase.

1. The depreciated value of the car after 1 yr is ​

n=1

\(A= 21,804*(1-\frac{25}{100} )^1\\\\A= 21,804*(1-0.25 )^1\\\\A= 21,804*0.75\\\\A= 16353\)

The depreciated value of the car after 1 yr is ​$16,353

2. The depreciated value of the car after 2 yr is ​

n=2

\(A= 21,804*(1-\frac{25}{100} )^2\\\\A= 21,804*(1-0.25 )^2\\\\A= 21,804*0.75^2\\\\A= 21,804*0.5625\\\\A= 12264.75\)

The depreciated value of the car after 2 yr is ​$12,264.75

Answer:

$43.87.

Step-by-step explanation:

let the regular price be x, then

0.75x = 32.9

x = 32.9 / 0.75 = $43.87

Answer:

43.87

Step-by-step explanation:

Let the regular price be T

Answer:

B) One sheet of paper is 0.0042 inches thick

Step-by-step explanation:

All the other values are not give from just a sheet of paper, and/or they are either a cumulative value, or values that will be used to calculate another value

Only option B defines a value for a unit of paper, and the value is definite.

Option A indicates  the number in a group (gross)

Option C shows two values that can be used to calculate one value; the area.

Option D indicates an accumulated value of weight.

The function h is defined, for all real numbers h(-3) = -1/2 , h(2) = -2 and h(4) = -4.

What is a function ?

When it comes to arithmetic, a function is represented as a rule that produces a different result for each input x. Mathematicians refer to functions as mapping or transformations.

The given function,

h(x) =  -1/2 x^2 + 4 if x≠ 2

                 -2         if x=2

So, h(-3) = -1/2 (-3)^2 + 4

             = - 9/2 + 4

             = -1/2

     h(2) = -2 ( given )

     h(4) = -1/2 (4)^2 + 4

            = -8 + 4

            = -4 .

Learn more about functions from the link given below:

https://brainly.com/question/25638609

#SPJ1

Answer: 1152 sq m

Step-by-step explanation: 24x24=576+ 24x24=576 so 576+576

Answer:

Rise/Run

4-1/39-30

3/9

1/3 Is the slope

Answer:

hombre by. h God j inc. hchhhi

Answer:

I forget about these theorems and such, but pretty sure this is the Hypotenuse - Leg congruence theorem.

Step-by-step explanation:

As the name infers, you need the length hypotenuse and the length of one leg of each triangle. This is because you can use Pythagorean to find the last side, turning it into SSS congruence theorem. You also need them both to be right triangles for pythag to work.

Answer:what 2 triangles

Step-by-step explanation:Happy new year btw

Answer:

0.4069 ; 1.843

Step-by-step explanation:

Given:

Base of parallelogram, b = (2x - 1)

Height = (4x - 7)

Area = 1

Area of parallelogram = Base * height

Area of parallelogram = (2x - 1) * (4x - 7)

(2x - 1) * (4x - 7) = 1

8x² - 14x - 4x + 7 = 1

8x² - 18x + 7 - 1 = 0

8x² - 18x + 6 = 0

Divide through by 2

4x² - 9x + 3 = 0

Solving the quadratic equation :

Using the formula

-b ± √(b² - 4ac) / 2a

a = 4 ; b = - 9 ; c = 3

Plugging in the values :

-(-9) ± √((-9)² - 4(4)(3)) / 2(4)

9 ± √(81 - 48) / 8

9 ± √33 / 8

(9 ± 5.7445626) / 8

(9 - 5.7445626) / 8) = 0.4069

(9 + 5.7445626) / 8 = 1.843

The annual equivalent cost (AEC) for the pickup truck is $4,308. We found the equivalent uniform annual cost (EUAC) first.

To calculate the AEC, we need to first find the equivalent uniform annual cost (EUAC) which includes both the initial cost and the present value of the maintenance and operation costs.

Find the present value of maintenance costs over five years using the gradient formula:

where A = $135, i = 12%, g = 0, n = 5

PV maintenance = $501.21

Find the present value of operating costs over five years using the present value formula:

where C = $0.2/mile * 344 miles/month * 12 months/year = $827.52/year, i = 12%, n = 5

PV operation = $3,322.08

Find the EUAC using the formula:

where A/P = [(1+i)^n * i] / [(1+i)^n - 1]

Finally, convert the EUAC to AEC by adding the present value of the salvage value and multiplying by the interest rate:

where PV salvage = $3,580 / \((1+i)^5\)

Learn more about Cost and Estimate:

https://brainly.com/question/28621647

#SPJ4

population in scientific notation is

Answer:

The impulse on an object is equal to the change in momentum of the object. In this case, the ball's initial momentum is 10 kg * 15 m/s = 150 kg m/s. After the collision, the ball's final momentum is -10 kg * 23 m/s = -230 kg m/s.

The change in momentum of the ball is: -230 kg m/s - 150 kg m/s = -80 kg m/s.

So, the impulse on the ball is -80 kg m/s.

Answer:

48 pupils

Step-by-step explanation:

let the number of people in the class be x

⅚ of the number of pupils in a class is expressed as ⅚x

4 greater than three-quarters of the number in the class is expressed as 3/4x+4

Equating both expressions

⅚x = 3/4x + 4

5x/6 - 3x/4 = 4

(10x-9x)/12 = 4

x/12 = 4

x = 4*12

x = 48

Hence the number of pupils in the class​ is 48 pupils