Answer: The answer is 50%.
Step-by-step explanation: Given that the factory produces 126 articles in a day. After retooling, the production of the articles increased and they started producing 189 articles in a day. We need to calculate the percent increase in labour productivity.
We have,
Percent Increase in labour productivity will be equal to the percent increase in the number of articles.
Increase in the number of articles after retooling = 189 - 126 = 63.
Therefore, percent increase in the number of articles is given by
Thus, the labour productivity increased by 50%.
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:
$3.50
Step-by-step explanation:
4 2/3 x 0.75 = $3.50
<em>B</em><em>.</em><em> </em><em>y</em><em>=</em><em>3</em><em>x</em><em>+</em><em>1</em>
Step-by-step explanation:
<em>#</em><em>H</em><em>o</em><em>p</em><em>e</em><em>e</em><em>e</em><em> </em><em>Itttt</em><em> </em><em>Helppsssssss</em><em>!</em>