The answer is 30, assuming it is a cube,
Given :
A vector v = 10i - 24k.
To Find :
A vector of magnitude 3 in the direction of v = 10i - 24k.
Solution :
Unit vector in the direction of vector v is :

Now , vector of magnitude 3 in direction v is :

Hence , this is the required solution .
Answer:
There are 3478761 ways to select the first 5 numbers
Step-by-step explanation:
As understood from the statement of this problem we assume that it does not matter the order in which the first 5 white balls are selected.
In this case it is a combination.
So, what we want to know is how many ways you can choose 5 white balls out of 55.
Then we use the formula of combinations:

Where you have n elements and choose x from them.
Then we look for:

Answer:
Step-by-step explanation:
You can set this up by reversing it.
(9+4)- (x/2)
(13)-(x/2)
(13)-(2x)
=11x
The answer is D. $77.00. To get the cost for a single gallon you divide $22 by 4 gallons you get $5.50. To get the cost for 14 gallons you multiply $5.50 by 14 and you get the answer $77.00.