A pharmacist has 40% and 80% of iodine solutions on hand. How many liters of each iodine solution will be required to produce 4 liters of a 50% iodine mixture?
.
Let x = liters of 40% iodine
then
4-x = liters of 80% iodine
Using algebra:
.40x + .80(4-x) = .50(4)
.40x + 3.20-.80x = 2
3.20-.40x = 2
x = 4 liters (40% iodine)
80% iodine:
4-x = 4-4 = 0 liters needed (80% iodine)
Let's find the derivative of that hyperbola in order to find a slope formula to help us with this equation. We already have an x and y value. The derivative is found this way:

so

. The derivative supplies us with the slope formula we need to write the equation. Sub in the x value of 3 to find what the slope is:

. So in our slope-intercept equation, x = 3, y = 1, and m = -1/3. Use these values to solve for b.

so b = 2. The equation, then, for the line tangent to that hyperbola at that given point is
Answer:
Y= -8
X= 3
Step-by-step explanation:
apply -(-a)=a rule
-23+4*8/3
-23+4*8=9
9/3
=3
2y-(3)=-19
y= -8
Answer: 601
Step-by-step explanation:
When the prior estimate of population proportion is not given , the formula we apply to find sample size :

, where z* = critical z-value
E=Margin of error
Given : Margin of error = 0.04
Confidence level = 95%
We know that , according to the z-table , the critical value for 95% confidence interval = z*= 1.960
Then, the required sample size : 


Hence, the required minimum sample size = 601
Answer:
1/66
Step-by-step explanation: