MATHEMATICS HIGH SCHOOL

The Fibonacci numbers are defined by the recursive formula t1 = 0, t2 = 1, tn - 1 + tn - 2 , where n ∈ N and n > 2. What are the first 9 Fibonacci numbers?A) 0, 1, 1, 2, 3, 5, 8, 13, 21
B) 0, 1, 2, 3, 4, 7, 11, 18, 29
D) 0, 1, 2, 3, 6, 9, 15, 24, 39
(Don't worry about C)

Answers

Answer 1
Answer: basically fibonachi is
the 1st term+term before first term=2nd term
3rd term=1st term+2nd term
4th term=2nd term+3rd term
etc

starting with t1=0 and t2=1
0,1
add them to get next
0+1=1
 now we have
0,1,1
1+1=2
now we have
0,1,1,2
1+2=3
now we have
0,1,1,2,3
2+3=5
now we have
0,1,1,2,3,5
3+5=8
now we have
0,1,1,2,3,5,8
5+8=13
now we have
0,1,1,2,3,5,8,13
8+13=21
now we have
0,1,1,2,3,5,8,13,21


answer is A
Answer 2
Answer:

A)

i just took the test

Related Questions

On the basis of data from 1990 to​ 2006, the median income y in year x for men and women is approximated by the equations given​ below, where xequals0 corresponds to 1990 and y is in constant 2006 dollars. If these equations remain valid in the​ future, in what year will the median income of men and women be the​ same?Men: -255x+2y=56,937Women: - 842x+3y=42,751
Which inequality best represents the situation in which you must be at least 42 inches tall to ride the roller coaster
Express the set in roster form.{x|x is a natural number multiple of 5}
what are the coordinates of the vertex of the table is it a minimum or maximum A. (-4,1) B(-2,-3) minimum C. (-2,-3) maximum D. (1,0)
Simplify (x^2y)^3.ASAP please

Solve 4^2x=7 by graphing

Answers

Answer:

0.702 is the solution of this function.

Step-by-step explanation:

We have

           4^(2x)=7\n\n4^(2x)-7=0

Let us plot y=4^(2x)-7 when y value of this function is zero then that is the solution of 4^(2x)=7

Refer the figure given, we have at x = 0.702 y value is zero that is 0.702 is the solution of this function.

         
I can't solve that by graphing but I'll try logarithms:
log(7)4 = 2x
log(7)/log(4) = 2x
1.403 = 2x
x = 0.702

The perimeter of a square garden is to be at least 30 feet but not more than 64 feet. Find all possible values for the length of its sides.

Answers

Answer:

7.5\leq x\leq 16

Step-by-step explanation:  

Let x be the length of each side of square.

Since the perimeter of the square is 4 times the length of each side, so perimeter of our given circle will be 4x.

We have been given that the perimeter of a square garden is to be at least 30 feet but not more than 64 feet.

This means the perimeter of the garden should we greater than or equal to 30 feet and less than or equal to 64 feet.

We can represent this information in an equation as:

30\leq 4x\leq64

Let us divide our inequality by 4 to solve for x.

(30)/(4)\leq (4x)/(4)\leq(64)/(4)

7.5\leq x\leq 16

We can represent our answer in interval notation as: [7.5,16]

Therefore, the length of the square's side can be any number between 7.5 feet and 16 feet including both 7.5 and 16 as well.
4x \in <30.64>/:4 \n x \in <7.5,16>

Given the function f(x) = x2 and k = 3, which of the following represents the graph becoming more narrow? A. f(x)+kB. kf(x)
C. f(x+k)
D. f(x-k)

Answers

The only type of transformation that can make a graph more narrow/wide is a scaling transformation. A scaling transformation involves a multiple factor. The answer to your question is B. I hope that this is the answer that you were looking for and it has helped you.

Answer:

The following which represents the graph becoming more narrow is:

                    B.    kf(x)

Step-by-step explanation:

We are given a parent function f(x) as:

          f(x)=x^2

and k=3

Now, we know that the transformation of the type:

          f(x)+k

shifts the graph of the function k units upward while there is no change in the shape of graph.

Similarly the transformation f(x+k) and f(x-k) shifts the graph of the original function k units to the left and  k units to the right but odes not change the shape of the function.

            Hence, the answer is:

                      B.    kf(x)

   Since, the  transformation is a vertical compression and the graph becomes more narrow.

2% of 105 is taxed find the value of the tax

Answers

the tax is 2.1, this is because 105 times .02 equals 2.1, thus 2.1 of 105 is taxed
i think is 10420 something not sure

The probability that a new spark plug is defective is 0.06. You need two new spark plugs. What is the probability that both spark plugs you buy are defective?A) 0.06
B) 0.12
C) 0.0036
D) 0.0030

Answers

Answer:

Option C - 0.0036

Step-by-step explanation:

Given : The probability that a new spark plug is defective is 0.06. You need two new spark plugs.

To find : What is the probability that both spark plugs you buy are defective?

Solution :

Probability of one spark plug being defective is 0.06

We have to find for two defective spark plugs.

This situation is a compound event in which there is more than one possible outcome.

So, The Probability of two spark plug being defective is

P=0.06* 0.06

P=0.0036

Therefore, The Probability of two spark plug being defective is 0.0036.

So, Option C is correct.
i think it's D for sure but i could be wrong So.

How much would $500 invested at 4% interest compounded continuously be worth after 7 years? Round your answer to the nearest cent. A. $640.00
B. $648.71
C. $657.97
D. $661.55

Answers

The answer is D. $661.55

A = P * eᵃˣ
A - the future value
P - the principal
a - the rate
x - the period of time

We know:
A = ?
P = $500
a = 4% = 4%/100% = 0.04
x = 7

A = P * eᵃˣ
A = 500 * e⁰.⁰⁴*⁷
A = 661.55
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