Karen = x
bill = 2x - 9
total = x + 2x - 9 = 3x - 9
Answer:
hello there im sam and im going to help you with your answer.
Step-by-step explanation:
so you take the 156,000 and subtract it to 120,000 and you will get 36,000 and thats how much she owes the bank.
Answer:
5
Step-by-step explanation:
The cross product of two vectors gives a third vector

that is orthogonal to the first two.

Normalize this vector by dividing it by its norm:

To get another vector orthogonal to the first two, you can just change the sign and use

.
Answer:
<u>Residue</u>
Step-by-step explanation:
Let a and b be integers. We define a mod b to be the residue of dividing a by b. For example, if a evenly divides b, then a mod b=0, 20 mod 6= 2. The modulus operator is widely used in programming, and it is convenient when a and b are large numbers.
a mod b is always a nonnegative integer. In fact, 0≤ a mod b≤ |b-1| by the division algorithm. a and b can also be negative integers. Since 8=-(-5)+3 then 8 mod -5= 3.
As a final example, some known properties can be rewritten in terms of mod. a mod 2=0 if and only if a is even. a mod 2=1 if and only if a is odd.