Answer:
0 1 2 3
Step-by-step explanation:
Since n is an integer
We have n = { 0 1 2 3 }
Answer:
v = <-3√2 , 3√2>
v = <-10 , 0>
Step-by-step explanation:
∵ Vector v in the same direction of vector u
∴ u = v/║v║
∵ u = <-3 , 3> ⇒ convert it to unit vector
∴ ║u║ = √(-3)² + (3)² = √18 = 3√2
∵ Unit vector = u/║u║
∴ u = <-3 , 3>/3√2 =<-3/3√2 , 3/3√2>
∴ u = <-1/√2 , 1/√2>
∵ u = v/║v║
∴ u ║v║ = v
∵ ║v║ = 6
∴ v = 6 <-1/√2 , 1/√2>
∴ v = <-6/√2 , 6/√2> ⇒ multiply up and down by √2
∴ v = <-3√2 , 3√2>
∵ Vector v in the same direction of vector u
∴ u = v/║v║
∵ u = <-10 , 0> ⇒ convert it to unit vector
∴ ║u║ = √(-10)² + (0)² = √100 = 10
∵ Unit vector = u/║u║
∴ u = <-10 , 0>/10 =<-1 , 0>
∴ u = <-1 , 0>
∵ u = v/║v║
∴ u ║v║ = v
∵ ║v║ = 10
∴ v = 10 <-1 , 0>
∴ v = <-10 , 0>
∴ v = <-10 , 0>
$25.3. 15% of $22 is 3.3, so plus that to $22, and you get $25.3
Answer:
$84
Step-by-step explanation:
Find how many miles she traveled by multiplying 80 and 2.
80 × 2 = 160 miles
Next find out how much she gets paid for her mileage by multiply $0.60 and 160.
160 × $0.60 = $96.00
Now find out how much she spent on gas. She gets 40 miles per gallon so solve how many gallons she used by dividing 160 by 40.
160 ÷ 40 = 4 gallons
Then multiply 4 gallons by $3.00
4 × 3 = $12
To find the net rate of pay subtract 96 and 12
$96 - $12 = $84
