Answer:
Please check the attached diagram.
Step-by-step explanation:
Due to a certain technical error, my answer is not being correctly submitted here.
Thus, I am attaching the diagram where I have written the solution.
Please check the attached diagram.
Answer:
Their are 8 thousands in the thousands place
Step-by-step explanation:
Let us assume that x kg of 30% salt solution is mixed with (200-x) kg of 40% salt solution in order to obtain 200 kg of 37% salt solution.
We can set up a linear equation in terms of x by setting amount of total salt before mixing and after mixing equal to each other.
Therefore, 60 kg of 30% salt solution should be mixed with 140 kg of 40% solution.
Answer:
a) 13 m/s
b) (15 + h) m/s
c) 15 m/s
Step-by-step explanation:
if the location is
y=x²+3*x
then the average velocity from 3 to 7 is
Δy/Δx=[y(7)-y(3)]/(7-3)=[7²+3*7- (3²+3*3)]/4= 13 m/s
then the average velocity from x=6 to to x=6+h
Δy/Δx=[y(6+h)-y(6)]/(6+h-6)=[(6+h)²+3*(6+h)- (6²+3*6)]/h= (2*6*h+3*h+h²)/h=2*6+3= (15 + h) m/s
the instantaneous velocity can be found taking the limit of Δy/Δx when h→0. Then
when h→0 , limit Δy/Δx= (15 + h) m/s = 15 m/s
then v= 15 m/s
also can be found taking the derivative of y in x=6
v=dy/dx=2*x+3
for x=6
v=dy/dx=2*6+3 = 12+3=15 m/s
