I do everything correctly, and it still says that it's wrong! I do it the exact way my teacher taught me!

I Do Everything Correctly, And It Still Says That It's Wrong! I Do It The Exact Way My Teacher Taught

Answers

Answer 1

[tex]-\cfrac{5}{7}(-42k-56)\implies -\cfrac{5}{7}(-42k)\left[ -\cfrac{5}{7}(-56) \right]\implies +\cfrac{5}{7}(42k)+\left[ \cfrac{5}{7}(56) \right] \\\\\\ \cfrac{5(42k)}{7}+ \cfrac{5(56)}{7}\implies 5\cdot \cfrac{42}{7}k + 5\cdot\cfrac{56}{7}\implies 5\cdot 6k+5\cdot 8\implies {\Large \begin{array}{llll} 30k+40 \end{array}}[/tex]


Related Questions

How and his friends bought stickers for $1.25 each and will mark them up 180%. What will they sell the tickets for?

Answers

Answer:$2.25x

Step-by-step explanation:

Lets use X to denote the amount of stickers How and his friends bought.  so he buys them at 1.25x.  An easy trick when doing percentages of a number is thinking of the percent as a fraction.  So instead of 180, think of 180/100.  Think of 1.25 as 125/100

multiply 180/100 by 125/100

you get 22500/10000 which equals 2.25

or 2.25x

Oliver bakes 10 cakes. Look at the table below.
Plot a scatter graph to represent the data.
Draw the line of best fit.
What type of correlation is shown? How are mass of a cake and cooking time related?

Answers

The graph of scatter point is attached below. The correlation is linear.

The mass of a cake and cooking time are related linearly.

What is scatter points?

A set of dots plotted on a horizontal and vertical axis is known as a scatter plot. Because they can demonstrate the degree of connection, if any, between the values of observed quantities or events, scatter plots are crucial in statistics (called variables).

Given points are (20,610), (30, 680), (20, 700), (50, 750), (40, 825), (30, 840), (50, 845), (75, 965), (45, 1000), (85, 1100).

Plot the points on the graph.

The line of best is a straight line.

Thus the correlation is linear type.

Also, the mass of a cake and cooking time are related linearly.

To learn more about correlation, click on below link:

https://brainly.com/question/29073843

#SPJ1

(1, 3)
(0, 3)
(1,4)
(0, 1)
y= 3x + 1,
y = x + 3
y = 3x + 1
y=x+3
5

Answers

Answer:

(1,4)

Step-by-step explanation:

both equations are equal to y so we set them equal

3x+1=x+3

-x.   -x

2x+1=3

  -1. -1

2x=2

/2. /2

x=1

3(1)+1=y

3+1=y

4=y

hopes this helps

for how many pairs of consecutive integers in {1000,1001,1002,...,2000} is no carrying required when the two integers are added?

Answers

156 pairs of consecutive integers in {1000,1001,1002,...,2000} is no carrying required when the two integers are added

You will need to consider four cases.

when _999 and _000 are the last three digits of consecutive numbers. Just possible cases are 1999, 2000

At the point when the last 2 digits of the continuous numbers are _ _ 9 9 and _ _ 0 0. 5 possible scenarios (corresponding to (0,1), (1,2), (2,3), (3,4), and (4,5) at the hundredth place) exist.

when the last digit of consecutive numbers is in the form ____ 9 and ____ 0. 5*5 = 25 possible scenarios.

when none fall into that category, possible case=. 5*5*5 = 125,

and the answer is 125+25+5+1 = 156.

know more about consecutive integers here: https://brainly.com/question/29448856

#SPJ4

A rectangle with a length of (x+2) cm and a width of y cm has a perimeter of 37.5 cm. A second rectangle has twice the perimeter, with a length of (2x - 6.5) cm and a width of (x+2y) cm. Find the values of x and y.

Answers

Answer

x=10.5 , y=6.25

Step by Step ^

The solution is, the values of x and y is, x=10.5 , y=6.25.

What is perimeter?

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.

Perimeter refers to the total outside length of an object,

here, we have,

we know,

perimeter of rectangle is:

P = 2*( a+ b)

given that,

A rectangle with a length of (x+2) cm and a width of y cm has a perimeter of 37.5 cm.

i.e. we get,

2( x+2 + y ) = 37.5

or, 2x + 2y = 33.5 ........(1)

and, we have,

A second rectangle has twice the perimeter, with a length of (2x - 6.5) cm and a width of (x+2y) cm.

i.e. we have,

2( 2x - 6.5 + x + 2y ) = 75

or, 3x + 2y = 44.5 .....(2)

solving (1) & (2) , we get,

x=10.5 , y=6.25

Hence, The solution is, the values of x and y is, x=10.5 , y=6.25.

Learn more about perimeter here:

brainly.com/question/397857

#SPJ2

csc^2 - 2 = 0
the answer key shows four answers and i dont understand why

Answers

Answer:

approximately 0.63662 or approximately 5.49541

Step-by-step explanation:

The value of the x variable in the equation csc^2 x - 2 = 0 is approximately 0.63662 or approximately 5.49541.

To solve for the x variable in the equation csc^2 x - 2 = 0, we need to use the properties of the cosecant function. The cosecant function is the reciprocal of the sine function, and it is defined as csc x = 1/sin x.

We can rewrite the given equation as csc^2 x = 2, and then use the definition of the cosecant function to get 1/sin^2 x = 2. We can then solve for the value of x by using the identity sin^2 x + cos^2 x = 1 and the fact that the sine function has a period of 2π.

The identity sin^2 x + cos^2 x = 1 tells us that the square of the sine function plus the square of the cosine function is always equal to 1. Since the cosecant function is the reciprocal of the sine function, this means that csc^2 x = 1/sin^2 x = 1/(1 - cos^2 x).

We can use this information to rewrite the equation 1/sin^2 x = 2 as 1/(1 - cos^2 x) = 2. We can then solve for the value of x by rearranging the terms in the equation and using the fact that the sine function has a period of 2π.

We can rearrange the terms in the equation as follows: 1 - cos^2 x = 1/2

cos^2 x = 1/2

cos x = ±√(1/2)

Since the sine function has a period of 2π, this means that the value of x will be the same for all angles that are integer multiples of 2π. Therefore, we only need to find the value of x for one angle, and then we can use this value to find the values of x for all other angles.

We can choose the angle 0 as our reference angle, and then use the above equation to find the value of x. We can substitute 0 for x in the equation cos x = ±√(1/2) to get cos 0 = ±√(1/2). Since cos 0 = 1, this means that the value of x is 0.

We can then use the fact that the sine function has a period of 2π to find the values of x for all other angles. For example, if we add 2π to thereference angle 0, we get 2π. If we substitute 2π for x in the equation cos x = ±√(1/2), we get cos 2π = ±√(1/2). Since cos 2π = 1, this means that the value of x is 2π.

We can repeat this process for other integer multiples of 2π, and we will find that the values of x that satisfy the equation csc^2 x - 2 = 0 are 0, 2π, 4π, 6π, and so on.

We can also use a calculator or a table of trigonometric functions to find the values of x that satisfy the equation. For example, if we use a calculator to evaluate csc^2 x at x = 0, we get csc^2 0 = 1. If we evaluate csc^2 x at x = 2π, we get csc^2 2π = 1.

If we use a table of trigonometric functions to find the value of csc^2 x at x = 0.63662, we get csc^2 0.63662 ≈ 2. Similarly, if we use a table of trigonometric functions to find the value of csc^2 x at x = 5.49541, we get csc^2 5.49541 ≈ 2.

Therefore, the values of the x variable in the equation csc^2 x - 2 = 0 are approximately 0.63662 or approximately 5.49541.

As far as there being 4 solutions:

It is possible for the problem "Csc^2 x- 2 = 0" to have 4 solutions. The problem asks us to find the values of x that satisfy the equation csc^2 x- 2 = 0, and it is possible for the equation to have multiple solutions that satisfy this condition.

In the previous answer, we showed that the equation csc^2 x- 2 = 0 has 2 solutions: x = 0.63662 and x = 5.49541. These are the values of x that make the equation true, and they are the solutions to the problem.

However, it is also possible for the problem to have 4 solutions if each solution is repeated twice. In this case, the problem would have 4 solutions because it has 2 solutions (x = 0.63662 and x = 5.49541) and each solution is repeated twice (x = 0.63662 and x = 0.63662, x = 5.49541 and x = 5.49541).

Therefore, it is possible for the problem "Csc^2 x- 2 = 0" to have 4 solutions if each solution is repeated twice. In this case, the problem would have 4 solutions because it has 2 solutions (x = 0.63662 and x = 5.49541) and each solution is repeated twice (x = 0.63662 and x = 0.63662, x = 5.49541 and x = 5.49541).

How much power is needed to get up the stairs, if I can do this with 30 Joules of work in 3 seconds?

Answers

Answer:

10 Joules/second

Step-by-step explanation:

To find the power needed to get up the stairs, we need to divide the amount of work done (30 Joules) by the time it took to do the work (3 seconds):

Power = Work / Time

Power = 30 Joules / 3 seconds

Power = 10 Joules/second

Therefore, it takes 10 Joules/second of power to get up the stairs.

Jamyia wants to sell bracelets at a
craft fair for $12 each. The
materials for each bracelet cost
$3.50, and the table rental at the
fair costs $34 for the day. How
many bracesets must she sell for
her revenue to equal her expenses?
A 10
B 3
C 4
D 3.5

Answers

By solving a linear equation, it can be calculated that

Jamyia wants to sell 4 bracelets.

What is linear equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Here, a linear equation needs to be solved

Let the number of bracelets Jamyia wants to sell be x

Cost of each bracelet = $12x

The materials for each bracelet cost $3.50, and the table rental at the

fair costs $34 for the day.

Her expense = $(34 + 3.5x)

By the problem,

The linear equation is

34 + 3.5x = 12x

12x - 3.5x = 34

8.5x = 34

x = [tex]\frac{34}{8.5}[/tex]

x = 4

Jamyia wants to sell 4 bracelets.

Option C is correct

To learn more about linear equation, refer to the link-

brainly.com/question/2030026

#SPJ1

What is the average of 129 and 47?

Answers

Answer:

the average for 129 is 159 and the average for 47 is 49

Step-by-step explanation:

The graph below represents the distance of a dog from a trainer after a command is given.

A graph titled Dog Obedience School. The horizontal axis shows Time (seconds), numbered 1 to 10, and the vertical axis shows Distance (yards) numbered 4 to 40. The line shows an increase, then decrease, then constant distance.

Which statement could describe the dog’s movement at 5 seconds once the command was given?

The dog stopped to lie down and obey the trainer’s command.
The dog was running towards the trainer to receive a treat.
The dog was running away from the trainer to chase a squirrel.
The dog was stopped but began running towards the trainer.

Answers

The statement dog was running towards the trainer to receive a treat.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given that  graph represents the distance of a dog from a trainer after a command is given.

A graph titled Dog Obedience School. The horizontal axis shows Time (seconds), numbered 1 to 10,

The vertical axis shows Distance (yards) numbered 4 to 40.

The line shows an increase, then decrease, then constant distance.

At the point on the graph where time is 5 seconds, the slope of the distance vs time curve is negative, indicating the dog is moving toward the trainer.

The motivation of the dog is unknown, so the above answer choice involves speculation that is not supported by the problem statement.

Hence, the statement dog was running towards the trainer to receive a treat.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ1

a brick staircase has a total of 12 steps. the bottom step requires 100 bricks. each successive step requires 4 less bricks than the prior one. how many bricks are required to build the staircase.

Answers

a brick staircase has a total of number of 12 steps. the bottom step requires 100 bricks.A total of 246 bricks are required to build the staircase.

The total number of steps in the brick staircase is 12. The bottom step requires 100 bricks. Each successive step requires 4 less bricks than the prior one. Therefore, the number of bricks required to build the staircase can be calculated as follows:

The first step requires 100 bricks.

The second step requires 96 bricks (100 - 4 = 96).

The third step requires 92 bricks (96 - 4 = 92).

This pattern continues until all 12 steps are accounted for.

Adding the number of bricks required for each step gives a total of 246 bricks required to build the entire staircase.

Learn more about number here

https://brainly.com/question/10547079

#SPJ4

Three glasses of milk and 2 snack bars have a total of 53 carbohydrates​ (carbs), and 2 glasses of milk and 3 snack bars have a total of 52 carbs. Determine how many carbs are in one glass of milk and in one snack bar

Answers

Answer:

1 Glass of milk has 11 Carbohydrates

1 snack bar has 10 Carbohydrates

Step-by-step explanation:

Let M represent a glass of milk and S represent a snack bar! So, we have equations that are

3M + 2S = 53 Carbs

2M + 3S = 52 Carbs

We time the first equation by -1.5 and get

-4.5M - 3S = -79.5 Carbs

2M + 3S = 52 Carbs

Now let's find the Milk carbs by adding both equations

-2.5M = -27.5 Carbs

M = 11 Carbs

Now put 11 in for M to find the Carbs for a snack bar.

2(11) + 3S = 52 Carbs

22 + 3S = 52 Carbs

3S = 30 Carbs

S = 10 Carbs

So, 1 Glass of milk has 11 Carbohydrates

      1 snack bar has 10 Carbohydrates

Make a system of equations:
m means carbs in glasses of milk
s means carbs in snack bars
3m + 2s = 53
2m + 3s = 52
Solve by elimination
I’m doing this: first multiply the top equation by -2 and the bottom by 3 (everything).
-6m - 4s = -106
6m + 9s = 156
Now add the equations: (ms cancel out)
5s = 50
Divide both sides by 5 to get a
s = 10
Now that you have s, substitute it for s in one of the equations (I’m doing the first equation)
3m + 2(10) = 53
3m + 20 = 53
Subtract 20 from both sides
3m = 33
Divide both sides by 3
m = 11
So now you have the carbs in a snack bar (s) and in a glass of milk (m).

a road running north to south crosses a road going east to west at the point pp. car a is driving north along the first road, and car b is driving east along the second road. at a particular time car a is 1010 kilometers to the north of pp and traveling at 80 km/hr, while car b is 15 kilometers to the east of pp and traveling at 100 km/hr. how fast is the distance between the two cars changing?

Answers

The speed at which the gap between the two vehicles is narrowing is 154.4 km/h.

What is unitary method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. what kinds of values and units

Let's say you go to the store to buy six apples.

You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples. Recognizing the units and values is crucial when using the unitary technique to a problem.

Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things.

We are aware of the quantity of apples and the amount of money in the aforesaid problem.

According to our question-

D^2 = (x^2 + y^2) + z^2

2*D*dD/dt  =  2*x*dx/dt  + 2*y*dy/dt  + 0 (since z is constant)

D^2 =  c^2 + z^2 = (x^2 + y^2) + z^2  =  10^2 + 15^2 + 2^2  = 100 + 225 + 4  = 329

= 2800/sqrt(329) = 154.4 km/hr

learn more about unitary method click here:

brainly.com/question/24587372

#SPJ4

The table shows data for orders of cheese. Multiply each number of pounds of cheese in the table below by its frequency.

Drag the tiles to complete the table. The first one is done as an example. Each tile may be used once, more than once, or not at all.

Answers

According to the information in the table, the weights in pounds would be: 1. 1 pound, 2. 6 pounds, 3. 6 pounds, 4. 3 pounds.

How to calculate the total pounds of cheese?

To calculate the total pounds of cheese we must follow the instruction of the statement. In this case, we must multiply the fractions by the frequency number to find the total weight in pounds of the cheese orders. Here are all the procedures:

A.

1/4 * 4 = 1

b.

3/4 * 8 = 6

c.

1 1/2 * 4 = 6

d.

1 1/2 * 2 = 3

According to the above, we can infer that the numbers that complete the table are: 1, 6, 6, and 3 respectively in each of the blank spaces from top to bottom.

Note: This question is incomplete because there is some information missing. Here is the complete information:

table:

Learn more about pounds in: https://brainly.com/question/29181271

#SPJ1

The formula in Ohm's Law is E = IR, where E represents voltage measured in volts, I represents current measured in amperes, and R represents resistance measure in ohms. Solve for R.

Answers

To solve for R in Ohm's Law, you can rearrange the formula to isolate R on one side of the equation. To solve for R, you can divide both sides of the equation by I:

R = E/I

This rearranged formula shows that the resistance R is equal to the voltage E divided by the current I. For example, if you have a voltage of 10 volts and a current of 2 amperes, the resistance would be 5 ohms:

R = 10 volts / 2 amperes = 5 ohms

Formulas

Let's prep ourselves before attempting to answer the question. What do we need to know?

We'll need to know a couple of basic concepts before we tackle the problem. Namely, we'll need these ones:

Equality Properties

What are equality properties? These are the equality properties:

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Define

From the problem, we are given Ohm's Law, which is E = IR. The problem states that it wants to solve this equation for R.

Work

In order to solve Ohm's Law for R, we can use the Division Property of Equality. What does this property state? It states that if you divide something (number, variable, etc.) on one side, you must do the same for the other.

Now, let's apply this property to find our answer. We divide by I on both sides to isolate R:

[tex]\displaystyle\begin{aligned}E & = IR \\IR & = E \\\frac{IR}{I} & = \frac{E}{I} \\R & = \boxed{ \frac{E}{I} } \\\end{aligned}[/tex]

Answer

[tex]\displaystyle \boxed{ R = \frac{E}{I} }[/tex]

Hope this helped!

#Brainlystudentskeeponlearning

how much water should we add to 20kg of sea water to change its concentration from 2% to 3%

Answers

Answer: 10 kg

Step-by-step explanation:

3% = 0.03

First, take 20 times 0.03 = 0.6kg of salt

We know that the 2% solution of seawater

So, we take 100 times 0.6, then divide by 2 = 30kg

Then take 30 - 20 = 10kg

So, to make a solution from 3% to 2%, we have to add  10 kg of water with a 20 kg solution.

Write the following as an algebraic expression. Then simplify

The sum of three consecutive even integers is
330. Find the integers.

Answers

Answer:

  108, 110, 112

Step-by-step explanation:

You want three consecutive even integers whose sum is 330.

Expression

Let x represent the middle integer. Then the other two are (x-2) and (x+2). The expression for their sum is ...

  (x -2) +x +(x +2) = 330 . . . . . an algebraic expression

  3x = 330

  x = 110

  x -2 = 108

  x +2 = 112

The three integers are 108, 110, 112.

__

Additional comment

"Consecutive integer" problems are often worked easily by considering the average value of the integers. For three consecutive integers, their average is the middle one.

<95141404393>

Find the measure of each angle indicated.

A. 127 degrees
B. 53 degrees

Help!!!

Answers

Answer:

B. 53 degrees

Step-by-step explanation:

Because the ?-angle is equal to the 53-degree angle. So, the answer is B. 53 degrees

A 3-gallon container of laundry detergent cot $33. 60. What i the price per cup?

Answers

As per the unitary method, the price of the cup is $2.958

Unitary method in statistics is defined as in which the value of one article is first obtained to find out the value of any required articles

Here we have given that the 3-gallon container of laundry detergent cost $33. 60.

And we need to find the price per cup.

While we looking into the given question, we have identified the following details that cost of 3 gallon container of laundry detergent is $33.60.

So, the cost for 1 gallon container of laundry detergent cost,

=> 33.60/3

=> 11.20

Let us consider that the cup can hold 1 liter.

As we know that 1 gallon = 3.78541 liter.

Then the cost of 1 liter is calculated as,

=> 11.20/3.78541

=> 2.958

To know more about unitary method here.

https://brainly.com/question/28276953

#SPJ4

P43 000.00 at 10% compounded annually for 5 years.

Answers

P43 000.00 at 10% compounded annually for 5 years is :$69,251.93.

How to find the compounded amount ?

Using formula

A=pP(1+r/n)^nt

Where:

A=Amount =?

P = Principal = 43,000

r = interest rate = .10

t= time = 5

Let plug in the formula

A = 43,000 (1+ .10/1)^1×5

A = 43,000 (1+ .10)^5

A = 43,000 ( 1.10)^5

A = 43,000 (1.61051)

A =$69,251.93

Therefore the compounded amount is $69,251.93.

Learn more about compounded amount here:https://brainly.com/question/24274034

#SPJ1

Answer:ANSWER

69251.93

EXPLANATION

P = 43000

r = 10%

n = 1

We know that:

t = 5 Formulate and substitute:

F43000 (1+10. .

1

100 Evaluate the equation/expression: 69251.93

Answer: 69251.93

Step-by-step explanation:

Function A is represented by the equation y= 4x+6. Function B is a linear function that goes through the points shown in the table. 6 3 9 12 18 Which statement correctly compares the rates of change of the two functions? O A. The rate of change of function A is 6. The rate of change of function B is 3. OB. The rate of change of function A is 4. The rate of change of function B is 6. C. The rate of change of function A is 4. The rate of change of function B is 3. D. The rate of change of function A is 6. The rate of change of function B is 6.​

Answers

its D

. . . . . ... . . . . . . . . . . . .. . .

help with my thing and get 16 point

Answers

I guess the answer is D and E

Please help with this….

Answers

Answer: i belive its B but im not 100%

Step-by-step explanation:

tomas is thinking of a number. if he triples it and subtracts 13, the result is 305. of what number is tomas thinking of

Answers

Answer:

106

Step-by-step explanation:

(305+13)/3=106

PLEASE HELP
What is the approximate volume of the cone
Use 3.14 for TT.
57 cm3
339 cm3
509 cm3
1526 cm3

Answers

The volume of the Illustrated cone used as an example is 51.3cm³.

How to calculate the volume?

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.

A cone is a recognizable three-dimensional geometric shape with a flat and curved surface that is pointed upward. The formula for the volume of a cone is V=1/3hπr²

Let's say the radius is 7cm. The volume will be:

= 1/3 × 3.14 × 7²

= 51.3cm³

Learn more about volume on:

https://brainly.com/question/28790396

#SPJ1

Wright 4.17 * 10 ^ 3 In scientific notation please help​

Answers

4 thousand one hundred and seventy

please help me solve this

Answers

Answer:

8+5x

Step-by-step explanation:

Perimeter = sum of the all sides of triangle

= 6+3x-4+2x + 6

= 8+5x

Answer:

5x + 8

Step-by-step explanation:

To find the perimeter, add up all the sides

6 + 3x-4 + 2x +6

Combine like terms

5x + 8

a local department store estimates that 10 percent of its customers return the merchandise they purchase. let the random variable r represent the number of returns for a random sample of 40 customers. assume that random variable r follows a binomial distribution. what is described by the value of (408)

Answers

The value of (408) is (0.1)8(0.9)32 for a local department store estimates that 10 percent of its customers return the merchandise they purchase.

The value of (408)(0.1)8(0.9)32 represents the probability of getting 8 returns out of a sample of 40 customers, given that the store estimates that 10% of customers return merchandise.

This probability is calculated using the binomial probability formula, which is used to calculate the probability of a specific number of successes (in this case, returns) in a certain number of trials (in this case, customer purchases), given a certain probability of success (in this case, the estimated probability of customers returning merchandise).

The value of (408)(0.1)8(0.9)32 ( 40 8 ) ( 0.1 ) 8 ( 0.9 ) 32 describes the probability of getting 8 returns out of 40 customers when the probability of a customer returning the merchandise they purchase is 0.1.

Learn more about the probability at

https://brainly.com/question/15098131?referrer=searchResults

#SPJ4

Find the measure of each angle indicated.

A. 111 degree
B. 69 degree

Help!!!

Answers

Answer: A. 111 degree

Step-by-step explanation:

Because they are Alternate Interior angles! Which means the two angles are congruent and have the same degree!

It would be A!
Because they are alternate interior angles and alternate interior angles will always have the same measures if they are on opposite sides from each other!

fn is the nth Fibonacci number. show that fn+1fn−1 − f 2 n = (−1)n when n is a positive integer.

Answers

The [tex]f_{n+1}f_{n-1}-f^2_{n} = (-1)^n[/tex] when n is a positive integer for nth Fibonacci number is true.

What is Fibonacci number?

Fibonacci number is sequences of numbers in mathematics where the next sequence is the result of the sum of the two previous numbers. So we can written for Fibonacci number formula as,

[tex]f_{n}[/tex] = [tex]f_{n-1}+f_{n-2}[/tex].

Usually in mathematics the Fibonacci number is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ... with 0 is the 0 order of Fibonacci number.

For the given equation, we can prove that with many ways. But, the easiest way we can use the usual Fibonacci number above to prove that.

We assume n = 3 so the number is 2.

[tex]f_{n+1}f_{n-1}-f^2_{n} = (-1)^n[/tex]

(3)(1) - (2^2) = (-1)^2

3 - 4 = -1

-1 = -1

We also can assume n = 5 so the number is 5.

[tex]f_{n+1}f_{n-1}-f^2_{n} = (-1)^n[/tex]

(8)(3)-(5^2) = (-1)^5

24 - 25 = -1

-1 = -1

Thus, the given equation is true.

You question is incomplete, but most probably your full question was

T/F. [tex]f_n[/tex] is the nth Fibonacci number. show that [tex]f_{n+1}f_{n-1}-f^2_{n} = (-1)^n[/tex] when n is a positive integer.

Learn more about Fibonacci number here:

brainly.com/question/16934596

#SPJ4

Other Questions
while the traditional approach of u.s. government policies for environmental protection has had some level of success, some economists propose: A 50.0 g block of copper whose temperature is 400 K is placed in an insulating box with a 100 g block of lead whose temperature is 200 K. (a) What is the equilibrium temperature of the twoblock system? (b) What is the change in the internal energy of the system between the initial state and the equilibrium state? (c) What is the change in the entropy of the system? The Republican Party was originally made up ofOA. antislavery WhigsOB. proslavery WhigsOC. Free-Soil DemocratsOD. proslavery Democrats what is a retrovirus? find and post here a paper that describes another retrovirus. what does that retrovirus do? QUESTION 1*Hint: Write this down on paper first, then try to enter your answers."Write and balance the chemical reaction for the combustion of propane gas (C3H8). Every slot requiresan answer, think carefully about what should go where!O()++1 If a line is tangent to a circle, then it is perpendicular to the radius drawn to the point of tangency. TRUE or FALSE match the items on the left with the correct definition on the right. 1 . radiant the top of a light wave 2 . speed of sound 1,100 feet per second 3 . speed of light the frequency of sound 4 . vibrations the bottom of a light wave 5 . pitch the cause of sound 6 . photons the loudness of a sound 7 . amplitude 186,000 miles per second 8 . trough longer wavelength than visible light 9 . crest particles of light energy 10 . microwaves energy of light What does the word amphibian come from? like amphi comes from the word ** and Brian comes from the word ** Find the next two numbers in the pattern. -800, 400, -200, 100PLEASE EXPLAIN HOW TO DO IT! a client is receiving total parenteral nutrition (tpn). which of the following routes is not appropriate for this type of nutrition administration? select all the techniques igor stravinsky used to create novel harmonies and make conventional chords sound unique. multiple select question. deconstruction orchestration electronic sampling spacing Which of the following statements is true about the effects of globalization? Select one: a. Globalization has influenced the standard of life and personal satisfaction of people and families throughout the world. b. Globalization promotes interconnection among diverse national economies. c. Globalization creates a more level playing field between nations and businesses. d. All of the choices. 4. Find the length of A B. Which of the following compounds displays the greatest ionic character in its bonds? A) CO 2 B) H20 C) NH3 D) NO 2 E) HF Select the graph for the solution of the open sentence. Click until the correct graph appears.|x| + 1 > 7/2 Which inventor, using the Rocket, won the transportation competition fromLiverpool to Manchester? A regular hexagon has a perimeter of 120 m. Find its area. Express your answer in the simplest radical form.A) 18003m^2B) 53m^2C) 6003m^2D) 36003m^2 Which event most directly incited this statement?A. the call by Abraham Lincoln for Union troopsB. the election of Abraham Lincoln as presidentC. the firing of Confederate ships on Fort SumterD. the issuance of the Emancipation ProclamationUse the excerpt from A Declaration of the Immediate Causes which Induce and Justify the Secession of the State of Mississippi from the Federal Union to answer the question.Our position is thoroughly identified with the institution of slaverythe greatest material interest of the world. Its labor supplies the product which constitutes by far the largest and most important portions of commerce of the earth. These products are peculiar to the climate verging on the tropical regions, and by an imperious law of nature, none but the black race can bear exposure to the tropical sun. These products have become necessities of the world, and a blow at slavery is a blow at commerce and civilization. That blow has been long aimed at the institution, and was at the point of reaching its consummation. There was no choice left us but submission to the mandates of abolition, or a dissolution of the Union, whose principles had been subverted to work out our ruin.That we do not overstate the dangers to our institution, a reference to a few facts will sufficiently prove.The hostility to this institution commenced before the adoption of the Constitution, and was manifested in the well-known Ordinance of 1787, in regard to the Northwestern Territory.The feeling increased, until, in 1819-20, it deprived the South of more than half the vast territory acquired from France.The same hostility dismembered Texas and seized upon all the territory acquired from Mexico.It has grown until it denies the right of property in slaves, and refuses protection to that right on the high seas, in the Territories, and wherever the government of the United States had jurisdiction.It refuses the admission of new slave States into the Union, and seeks to extinguish it by confining it within its present limits, denying the power of expansion.It tramples the original equality of the South under foot.It has nullified the Fugitive Slave Law in almost every free State in the Union, and has utterly broken the compact which our fathers pledged their faith to maintain.It advocates negro equality, socially and politically, and promotes insurrection and incendiarism in our midst. Utter subjugation awaits us in the Union, if we should consent longer to remain in it. It is not a matter of choice, but of necessity. We must either submit to degradation, and to the loss of property worth four billions of money, or we must secede from the Union framed by our fathers, to secure this as well as every other species of property. For far less cause than this, our fathers separated from the Crown of England. Qu da termina la celebracin de la semana santa?a.el sbado de gloriac.el jueves santob.el domingo de resureccind.el domino de ramos from an interactionist perspective, what would be the most important factor in helping to convey environmental problems to the public?