Given is the function for number of adults who visit fair at day 'd' after its opening, a(d) = −0.3d² + 4d + 9.
Given is the function for number of children who visit fair at day 'd' after its opening, c(d) = −0.2d² + 5d + 11.
Any function f(d) to find excess of children more than adults can be written as follows :-
f(d) = c(d) - a(d).
⇒ f(d) = (−0.2d² + 5d + 11) - (−0.3d² + 4d + 9)
⇒ f(d) = -0.2d² + 0.3d² + 5d - 4d + 11 - 9
⇒ f(d) = 0.1d² + d + 2
Answer:

Step-by-step explanation:
Given : 
We have to write which identity we will use to prove the given statement.
Consider 
Take left hand side of given expression 
We know

Comparing , we get, a= 180° and b = q
Substitute , we get,

Also, we know
and 
Substitute, we get,

Simplify , we get,

Hence, use difference identity to prove the given result.
Answer: 3 054 in^2
Step-by-step explanation:
Sphere volume formula = 4/3 pi r^3
So... 4/3 pi 9^3
= 3 053.63 in^2
<h2>
Answer:</h2>
720 pounds
<h2>
Step-by-step explanation:</h2>
Initially, we have that the amount of algae in the pond is
. Every four hours the amount of algae doubles. If we called
the time and
the amount of algae, we have that:

Finally, <em>after 12 hours the amount of algae in the pond is 720 pounds</em>
Answer:
18 i hope this helps! :)
Step-by-step explanation:
has 16 to begin with
gets 10 more
16 + 10 = 26
gives 8 away
26 - 8 = 18
Manu has 18 pears left