ANSWER
EXPLANATION
The total number of students can be calculated by adding all the frequencies.
From the graph the total frequency is,
The number of students who intend to go into state or local government after graduation is 78.
The percentage of students who intend to go into state or local government after graduation
Answer:
Step-by-step explanation:
We have been given that n=-2 verified as a solution to the equation 
.
As n=-2 is the solution for our given equation, so it will satisfy our equation.
Let us substitute n=-2 is our given equation.
Since the value of n satisfies our equation, therefore, last line of the justification will be .
Given plane Π : f(x,y,z) = 4x+3y-z = -1
Need to find point P on Π that is closest to the origin O=(0,0,0).
Solution:
First step: check if O is on the plane Π : f(0,0,0)=0 ≠ -1 => O is not on Π
Next:
We know that the required point must lie on the normal vector <4,3,-1> passing through the origin, i.e.
P=(0,0,0)+k<4,3,-1> = (4k,3k,-k)
For P to lie on plane Π , it must satisfy
4(4k)+3(3k)-(-k)=-1
Solving for k
k=-1/26
=>
Point P is (4k,3k,-k) = (-4/26, -3/26, 1/26) = (-2/13, -3/26, 1/26)
because P is on the normal vector originating from the origin, and it satisfies the equation of plane Π
Answer: P(-2/13, -3/26, 1/26) is the point on Π closest to the origin.
Answer:
2/1 or 2
Step-by-step explanation:
the way to find the slope is rise over run, if you count the units you see that for every time it rises 2 it runs 1, then divide.
Answer: d
Step-by-step explanation:
