Answer:
The answer is ( - 8, 8) in point form or in x = -8 , y= 8 in equation form.
The vertex is the point where the graph is horizontal, which you can find by setting the first derivative to zero.
derivative: -4x + 8 = 0 => x=2
fill it in in the equation:
y=-2*2² + 8*2 - 5 = 3
So the answer is the point (2,3)
Answer:
r ≈ 31.5 cm
Step-by-step explanation:
The arc of a circle is calculated as
arc = circumference of circle × fraction of circle
Here arc = 22 , then
2πr ×
= 22
2πr ×
= 22 ( multiply both sides by 9 to clear the fraction )
2πr = 198 ( divide both sides by 2π )
r =
≈ 31.5 cm
Answer:
9419.3 years.
Step-by-step explanation:
Let the initial amount of C-14 be 100 units.
We have been given that a hiker in Africa discovers a skull that contains 32% of its original amount of C-14. We are asked to find the age of the skull.
We will use half life formula to solve our given problem.
, where,
A = Amount left after t years,
a = Initial amount,
t = time,
h = Half life.
We know that half-life of C-14 is 5730 years.
32% of 100 units would be 32.



Now, we will take natural log of both sides.

Using log property
, we will get:




Therefore, the age of skull is approximately 9419.3 years.
Answer:
A, C, and then B
Step-by-step explanation:
well 2 because it's the formulas and 4 because a triangular prism is like three triangles standing up hugging each other, so if you cut their heads off, it would be a triangle, because three sides.