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>
The correct answer is 8800
Answer:
When you have two sets of data, one that represents an independent variable (X) and another that represents a dependent variable (Y) (it is a response of the first variable). A diagram called scatterplot can be generated to present the ordered pairs (X, Y) in the Cartesian plane to see how the two variables are related.
In this case the independent variable (X) is the age variable of the calf and the dependent variable (Y) is the weight of the calf.
The diagram can be seen in the attached file.
Step-by-step explanation:
34- 6, 12, 18, 24, 30, 36
35- 15, 30, 45, 60, 75, 90
Answer:
$1683.50
Step-by-step explanation:
You are expected to know that a "mill" is one thousandth of a dollar. In this context, it is the amount of tax on one dollar of assessed valuation. So, the tax amount is found by multiplying the valuation by 18.5/1000:
tax = 0.0185 · $91,000 = $1683.50
