Answer:
The correct answer is the basket ball is 54.87 times bigger in volume than the tennis ball.
Step-by-step explanation:
The diameter of a basketball is approximately given to be 9.5 inches.
The radius of the basket ball is given by 
= 4.75 inches.
The volume of the basket ball is given by = 
× π × 
= 449.1012 cubic inches.
The diameter of a tennis ball is approximately given to be 2.5 inches.
The radius of the tennis ball is 
= 1.25 inches.
The volume of the tennis ball is given by = × π × = 8.1845 cubic inches.
Ratio between the volume of the basketball and tennis is given by 
= 54.87.
Thus the volume of the basket ball is 54.87 times greater than the volume of the tennis ball.
The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, … is formed by summing two consecutive numbers to get the next number.
adelina 88 [10]
By counting the combinations, we will see that there are 10 combinations such that the sum gives a Fibonacci number.
<h3>
How to count the combinations?</h3>
We have two number cubes with 6 outcomes each, such that we have a total of 36 combined outcomes.
For each dice, the outcomes are:
{1, 2, 3, 5, 8, 13}
Now, let's count the combinations that also give a Fibonacci number (these are given by adding two consecutive numbers in the sequence).
I will list each possible red outcome, then the blue outcomes that would give a Fibonacci term, and then we can count the number of combinations.
- Red Blue number of combinations.
- 1 2 1
- 2 1, 2 2
- 3 2, 3 2
- 5 3, 8 2
- 8 5, 13 2
- 13 8 1
Adding the numbers of combinations, we have:
C = 1 + 2 + 2 + 2 + 2 + 1 = 10
There are 10 combinations that give a Fubbonaci number.
If you want to learn more about combinations, you can read:
brainly.com/question/2280026
Y intercept is (0,3)
Slope is 3/2
5/50 or 1/10 in winning a prize.
Answer:
x = 5.75
Step-by-step explanation:
4^(x+7) = 8^(2x-3)
But; 4^(x+7) = 2^2(x+7)
8^(2x-3) = 2^3(2x-3)
2^2(x+7) = 2^3(2x-3)
Since the bases are the same;
2(x+7) = 3(2x-3)
2x + 14 = 6x -9
14 + 9 = 6x - 2x
23 = 4x
x = 23/4
<u>x = 5.75</u>
