Answer:
Malcolm would logically be running at 4.75 and since he is running at 3, it would be the lowest possible therefore its B
Step-by-step explanation:
Answer:
3x(2x^2 +x-1)
Step-by-step explanation:
f(x) = 11x^3 + 3x^2 - 4x + 2,
g(x) = 5x^3 - 7x + 2,
f(x) - g(x) =11x^3+3x^2-4x+2 - (5x^3-7x + 2)=
11x^3+3x^2 -4x+2-5x^3+7x-2=
(11x^3-5x^3)+3x^2+(-4x+7x)+(2-2)=
6x^3 +3x^2 - 3x=
3x(2x^2 +x-1)
Answer:
The mass of 150 books = 41.7kg
The number of books that have mass 20kg = 72 books
Step-by-step explanation:
(I) Number of identical books = 108
Mass of books = 30 kg
Mass of 150 books = ?
Let the mass of 150 books = x kg
To find the mass of 150 books we will use ratio and proportion:
108 books: 30kg = 150 books: x kg
You can also write it like this because ratio can be written in division:
108/30 = 150/x
By cross multiplication:
108x = 150*30
108 x= 4500
Divide both sides by 108
108 x/108 = 4500/108
x= 41.7
Thus the mass of 150 books = 41.7kg
( ii ) The number of books that have a mass of 20 kg = ?
Let assume that the number of books of mass 20 kg = y books
We will again use ratio and proportion method.
108 books: 30kg = y: 20kg
We can write it as:
108/30 = y/20
By cross multiplication:
108 *20 = 30y
2160= 30y
Divide both the terms by 30
2160/30 = 30y/30
72 = y
Therefore the number of books that have mass 20kg = 72 books ....
For something to be a function, an input (x value) can only have ONE output (y value)
For example:
(2 ,4)
(2, 5) This is not a function because the input has multiple outputs.
So your answer is the 1st option
Answer:
33.29
Step-by-step explanation:
A=πr^2
A=π2^2=12.57
12.57/2=6.29
7-4=3
3x2=6
6/2=3
4x6=24
6.29+3+24=33.29
