Answer:
C) 0 ≤ x ≤ 25
Step-by-step explanation:
We are supposed to find a reasonable constraint so that the function is at least 300 i.e. the value of x at which f(x) is greater or equal to 300
A)x ≥ 0
Refer the graph
At x = 0
f(x)=300
On increasing the value of x , f(x) increases but at x = 12 it starts decreasing
So, x ≥ 0 can also have f(x)<300
So, Option A is wrong
B)−5 ≤ x ≤ 30
At x = -5
f(x) = 100
So, Option B is wrong since we require f(x) is greater or equal to 300
c)0 ≤ x ≤ 25
At x = 0
f(x)=300
At x = 12 , it starts decreasing
At x = 25
f(x)=300
So, The value of f(x) is at least 300 when 0 ≤ x ≤ 25
D)All real numbers
At x = 30
f(x)=0
But we require f(x) greater or equal to 300
Hence Option C is true
True
<span>Cos(A+B)=CosACosB-SinASinB
therefore Cos(A+A)= CosACosA - SinASinA
= Cos^2A - Sin^2A</span>
Answer:
12 Scoops
Step-by-step explanation:
Darla has 4 Cylinder Shaped Buckets
Volume of the Cylinders 
The scoop is cone shaped and:
Volume of the Cone Scoop 
Since the radius and height of the cone scoop and cylindrical buckets are the same,
The number of Cone Scoops it will take to fill the buckets is:
Total Volume of Buckets/Volume of Cone Scoops

It will take 12 Scoops to fill the 4 buckets.
The answer is 62 with a remainder of 2.
Hope this helps!
Answer:
Step-by-step explanation: