For the writing assignment, the number of ways of choosing from two essay topics three different mandatory lengths is given by:
Thus, he has 20 choices to make for the writing assignment.
For the reading assignment, the number of ways of choosing from <span>five biographies and three volumes of essays</span> is given by:
5 x 3 = 15
Therefore, the total number of choices is given by 6 + 15 = 21 choices.
Answer:
The third option is a function
Step-by-step explanation:
A function is a relation in which every x value is paired with exactly one y value, meaning that x values cannot repeat within a relation. The 1st and 4th options have repeating X's, and the 2nd option does not have ordered pairs, only integers.
Answer:
(5x²y⁴z/2x^5z³)
Step-by-step explanation:
That's a wacky looking multiplication! All you really need to do here is multiply straight across as you usually would; reducing terms and combining like terms where applicable.
(4x²y³z/9)•(45y/8x^5z³)=
(4•45•x²y⁴z/9•8x^5z³)= (<-- I reduce here)
(5•x²y⁴z/2x^5z³)=
(5x²y⁴z/2x^5z³)
You could put the "x" into the denominator as well and combine those terms, but I don't really see a good reason to do so.
Answer:
1 hour 42 minutes
Step-by-step explanation:
Given: Speed of 1st trucker= 62 mph
Speed of 2nd trucker= 66 mph
Total distance need to cover to be in contact is 270 miles
1st trucker start 1 hour ahead of 2nd trucker
Lets assume 2nd trucker take `x` hours to be in contact and 1st trucker take `(x+1)` hours.
We know, distance=
1st trucker, distance
∴
2nd trucker, distance
∴
Now, putting the values in an equation.
⇒
Opening the parenthesis to solve and subtracting both side by 62
⇒
∴ x= = 1 hour 42 minutes
∴ It will take 1 hour 42 minutes to be able contact each other after first trucker leaves.