Sam studied guinea pigs for his science fair project. He found that the amount of weight the guinea pigs gained varied directly
1 answer:
You might be interested in
Using conversion of units and volume of a cylinder, it is found that 23.17 cubic yards of concrete are needed, option D.
The volume of a cylinder of radius r and height h is given by:
In this problem:
- We want the volume in cubic yards, thus, the units of radius and height have to be in yards.
- 32 inches in diameter, thus 16 inches of radius. Since each inch has 0.0278 yards, this is a radius of 0.44 yards, thus
.
- Height of 8 feet, and since each feet has 0.33 yards, this is a height of 2.67 yards, thus
- 14 poles, thus the volume is multiplied by 14.
Then:
23.17 cubic yards of concrete are needed, option D.
A similar problem is given at brainly.com/question/22789697
Answer:
Step-by-step explanation:
To create a password, you need to select 8 characters (not necessarily different) from the set {1,3,5,7,9,a,b,c,...,z}. Now, this set has 31 elements: the 26 lowercase letters from the alphabet and the 5 odd numbers (1,3,5,7,9).
Now, there are 31 ways to choose the first character, it can be any element from our set. The second character can also be chosen in 31 ways, because there are not restrictions (repetitions, specific characters, etc). Similarly, the third, fourth, fifth, sixth, seventh and eighth characters have 31 possibilities each one.
The number of passwords is the number of ways of selecting the 8 characters, then by the multiplication principle the number of passwords is 31×31×31×31×31×31×31×31=31^8.