Answer:
Option A
f(x) = 12.5(1.6)^x
Step-by-step explanation:
The number of gnats the scientists have gathered
At 0 hours, they gathered 12 gnats.
Checking all the options, applying x = 0 makes the index part become 1 (Anything raised to the power zero is 1).
So, we have the following functions
f(x) = 12.5
f(x) = 12.6
f(x) = 6.2
f(x) = 1.6
This has reduced our work, as we can screen out options C and D, they are too far from 12. This leaves us with option A and B.
At 1 hour, they gathered 20 gnats.
Checking options A and B
A. f(x) = 12.5(1.6)
= 20
B. f(x) = 12.6(6.2)
By inspection, 12 × 6 is already 72,
12.6 × 6.2 will be more.
By these, we can conclude that f(x) = 12.5(1.6)^x has the best models the number of gnats the scientists have gathered after the number of hours listed in the given table.
ANSWER
True
EXPLANATION
The given trigonometric equation is:
We take the LHS and simplify to arrive at the RHS.
Collect LCM on the right hand side to get;
This implies that
This identity has been verified .Therefore the correct answer is true.
Answer:
He ran a total of 8.439 miles. Over the three days he ran less than he needed to for his goal, he has to run 0.061 more miles to gain his goal
Step-by-step explanation:
simple! add all of the data numbers and you get a total of 8.439 miles. He has to run 8.5 miles but he does not reach that. he has to run 0.061 miles to gain his goal (8.5-8.439) I hope this helps! (got here as soon as possible)
-2 and+2 =0
1/2 -3/2= -2/2 or -1
7-1=6
