Can someone explain how to solve for x on a parabola? For example: f(x)=(x−5)(5x+2) Ty~
1 answer:
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62.5 mg sample will remain after 240 days
Step-by-step explanation:
Given
Half-life = T = 60 days
The formula for calculating the quantity after n half lives is given by:
Here
N is the final amount
N_0 is the initial amount
n is the number of half lives passed
The number of half lives are calculated by dividing the time for which the remaining quantity has to be found by half life
The quantity has to be calculated for 240 days so,
Given
Putting the values in the formula
Hence,
62.5 mg sample will remain after 240 days
Keywords: Half-life, sample
Learn more about half-life at:
#LearnwithBrainly
Answer:
The dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)
Step-by-step explanation:
Let the length of garden be x
Let the breadth of garden be y
Area of Rectangular garden =
We are given that the area of the garden is 122 square feet
So, ---A
A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft
So, cost of brick along length x = 20 x
On the other three sides by a metal fence costing $10/ft.
So, Other three side s = x+2y
So, cost of brick along the other three sides= 10(x+2y)
So, Total cost = 20x+10(x+2y)=20x+10x+20y=30x+20y
Total cost = 30x+20y
Substitute the value of y from A
Total cost =
Total cost =
Now take the derivative to minimize the cost
Equate it equal to 0
Now check whether it is minimum or not
take second derivative
Substitute the value of x
Since it is positive ,So the x is minimum
Now find y
Substitute the value of x in A
Hence the dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)