How will you explain to your younger sibling or any young person the special role of the Fibonacci numbers and/or  the golden ratio in human living?

Q: what is the unit digit of 10^85 + 2^31?

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Q: What is imginary number

A: Imaginary Numbers: An imaginary number is a number that has a negative result when it is squared. In…

Q: how many different rectangles with an area of 120 square unit can be formed using unit square?

A: Given: Area of a rectangle=120 square units. Area of a rectangle= l×b where l is the length of a…

Q: If a certain piece of music is written in  3/8 time, how many eighth notes are required for one…

A: 3/8 denotes the time signature. It is not really the time taken to write the music. It just conveys…

Q: What are whole numbers?

A: The set of whole number is a set of natural number with zero.

Q: Explain in your own words why we compare num- bers in the decimal system by starting at the left-…

A: Use the rules of comparing numbers to provide a solution to the following question. Try comparing…

Q: Consider the following number series: 0,1,2,4,10, 42, ?, 17726 What is the missing number in the…

A: Consider the given number series, 0, 1, 2, 4, 10, 42, ?, 17726 Here we need to find the missing…

Q: What is the units digit (ones digit) of 34513?

A: Given: The exponent is 34513. The objective is to find the unit digit of the exponent.

Q: Match the repeating decimal to the correct fraction 0.616161

A: Convert the repeating decimal 0.616161.. to fraction.

Q: what is an even single digit whole number

A: What is an even single digit whole number?

Q: How evident is golden ratio in human body?

A: The objective is to explain the evidence of golden ration in human body.

Q: Starting with 1st Fibonacci number, Fib(1)=1 and the second Fibonacci number, Fib(2)=1, what is the…

A: Fibonacci series: It is a series of positive numbers in which each number of the series is the sum…

Q: Express the repeating decimal as a fraction. 5.919191...

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Q: What are composite numbers?

A: To define : composite number.

Q: 1. A shoe imprint found at a scene was found to be 13.0 inches long. How many centimeters long is…

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Q: How are the Fibonacci numbers related to the Golden Ratio? Explain

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Q: What is the unit's digit of 2300 using George Polya's method?

A: To find unit digit of a number apply modulo '10' to the given number. The given number is 2300. We…

Q: Can you please show work on how to convert (and the conversion factors) for how to turn 9 cm into…

A: The objective is to convert 9cm into feet.

Q: What is the value of the product of the golden ratio p and (1 -)? O 1 -1

A: We will solve the following

Q: what is the units digit of 2 to the 58 power?

A: Consider the given informationThe expression is 258.We have to calculate the unit digit of the above…

Q: What is the golden section (golden ratio)? Small summary or conclusion about it

A: Consider the provided question, The golden ratio is the ratio of a line segment cut into two pieces…

Q: Given that the 22st Fibonacci number is 17,711 use the golden ratio to find the 23rd Fibonacci…

A: As per the question we are given the 22st Fibonacci number is 17,711 And we have to use the golden…

Q: Prove that the method for using Fibonacci numbers to generate Pythagorean triples will always work

A: We need to add the previous two numbers starting from 0 to get the next term of the sequence every…

Q: A palindromic number is a number that reads the same from left to right as it reads from right to…

A:

Q: Starting with the first Fibonacci number, Fib(1) = 1 and the second Fibonacci number, Fib(2) = 1,…

A: Fib(1)=1Fib(2)=1

Q: When a grand jury indicted the mayor of a certain town for accepting bribes, the newspaper, radio,…

A: Two-thirds of the town heard the news

Q: is 3 +, 20- 37 1 (-1)" n=0 years old. How old am 1?

A: Given the age of the person is 3+∑n=0∞20(-1)n3n-1 years old. Evaluation of summation term:…

Q: What is 34.6149 3 decimal places rounding off

A: Given, 34.6149 We have to round it nearest to 3 decimal places. Concept used:

Q: 4. Give the ratio of vowels to consonants in the alphabet

A: As per the policy first question that is 4 is solved. Please repost and specify which question is to…

Q: A line segment is divided in two​ segments, such that the ratio of the long segment to the short…

A: We have given,A line segment divided into two segments. Such that ratio of long segment to short…

Q: What is the sum of the 2nd and 16th Fibonacci numbers?

A: Fibonacci sequence is given by recurrence relation  Fn=Fn-1+Fn-2, F1=1, F2=1

Q: Determine the units digit of 3451

A: the units digit of 3451

Q: 1- - Convert 285 K to Celcius. Enter a number without units. Round your answer to the nearest whole…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: how to divide 301 by 32 in base four?

A:

Q: applicable

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Q: 1 Suppose you need to drill a --inch hole, but the set of drill bits is measured in sixteenths of an…

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Q: What is the relationship of golden ratio to the Fibonacci numbers?

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Q: The thirty-fourth Fibonacci number is 5,702,887 and the thirty-fifth Fibonacci number is 9,227,465.…

A: Given fibonacci numbers are 34th number = 5,702,887 35th number = 9,227,465 we have to find 35th…

Q: Calculate arithmetic, geometric, harmonic mears, median, mod

A: Hello, since your question has multiple parts, we will solve the first question for you. if you want…

Q: A line is subdivided according to the golden ratio, with the smaller piece having a length of 8…

A: Solution

Q: What is 22021 22020?

A: Topic :- Numbers

Q: Express the repeating decimal as a fraction. 0.474747...

A: Let's express as a fraction.

Q: To approximate Jio using N- what is the the Seg nence appropriate

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Q: if there were 51 gold nuggets found on monday

A: Consider the given table of data showing the working hours of Kate, Kevin and Greg for 3 days. Let x…

Q: 11. Find the sum of the first 12 Fibonacci numbers? *

A: First 12 Fibonacci numbers                   = 1,1,2,3,5,8,13,21,34,55,89,144 Sum of the first 12…

Q: What is the most fascinating occurrence of the Golden Ratio? Why? Discuss.

A: The golden ratio is a mathematical term given to the phenomena of when two lengths, when divided via…

Q: Provide five pictures that exhibit the concept of Golden Ratio and explain how the pictures exhibit…

A: Provide five pictures that exhibit the concept of golden ratio and explain how the pictures exhibit…

Q: 10. Draw a number line like the one in Figure 2.50. Place equally spaced tick marks on your number…

A: The given number that you can plot on number line is 13.

Q: What is the number immediately following 333, in base four?

A: We have to find the number immediately following 3334 in base four.

Q: Construct 3 different ratios of the whole numbers that reduce to the golden ratio

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