Answer:
Step-by-step explanation:
To find the Taylor series of sinc(x) we will use the taylor series of sin(x). We have that
which is the taylor series expansion based at 0. Then for 
, by dividing both sidex by x, we have that
which is the taylor series expansion for the sinc function. Since the series of sine converges for every value of x. Then the taylor series of sinc converges for every value of x, but 0.
Find the water volume of the pool. The formula for a vertical cylinder is V = pi*r^2*h, which here is V = pi(13 ft)^2*(4 ft) = 676*pi cubic feet.
Now convert this 676 cu. ft. to gallons:
Mult (676*pi cu ft) by the conversion factor (7.48 gal) / (1 cu ft):
676*pi cu ft 7.48 gal
--------------- * ------------- = 5056*pi gallons (rounded down from 5056.48 pi)
1 1 cu ft
The cost of filling the pool will be
5056.48*pi gallons $3
--------------------------- * ------------- = $48 (to the nearest dollar)
1 1000 gal
Answer: 84 people
Step-by-step explanation:
From the question, 240 people are going to a charity event and 3/5 of the guests have ordered chicken for their meals. This means (3/5 × 240) = 144 people ordered chicken. Since 144 people have ordered, the number of remain people left will be:
= 240 - 144
= 96 people.
Out of the remaining guests which is 96, 12.5% have ordered gluten free meals. This means (12.5% × 96) = 12 ordered gluten free meals.
The people who haven't ordered their meals yet will be:
= 96 - 12
= 84 people.
The numbers start from the top
