Determine the number of subsets of 3,4,5,6,7,8,9,10,11,12,13,14,15
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Answer:
8192
Step-by-step explanation:
The number of subsets of an n-element set is 2^n.
Your set has 13 elements, so has 2^13 = 8192 subsets.
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This count includes the empty set and the full set.
The function is graphed as shown below
Part A:
We use the formula

to find the vertex of the function. A quadratic function of the form of

and equating this form to the given function

, we have

and

.
Substituting

and

into the vertex formula, we have

, as shown in the graph
This calculation means that the highest profit is achieved when the number of photo printed equals to ten photos
Part B:
We can find solution to this equation by factorising





and

, as shown in the graph
The two values means that the company makes no profit when they either produce 5 or 15 photos
Answer:
30
Step-by-step explanation:
200*0.15=30
Answer:
Step-by-step explanation:
The shaded area is the difference of the large and small squares.
<u>Area of large square:</u>
<u>Area of small square:</u>
<u>Shaded area:</u>
- A = A(l) - A(s)
- A = (y + 4)² - y² = y² + 8y + 16 - y² = 8y + 16
G = gallons d = days
10g = 3d
?g = 1d
1g = ?d
-------------
for gallons in a day, divide 10g = 3d by 3
d = 10/3 gallons
3 and 1/3 gallons in a day
---------------
for days per gallon, divide 10g = 3d by 10
g = 3/10 days
1 gallon lasts 3/10 of a day