Answer:

Step-by-step explanation:
The exponential function that decrease by 15% every time x increases by 1 is given by:

We simplify the parenthesis to get:

Therefore the decrease by 15% every time x increases by 1 is

The second choice is correct.
Answer:

Step-by-step explanation:
step 1
Find the area of complete circle
The area of the circle is given by the formula

we have

substitute


step 2
Find the area of the shaded region
we know that
The area of complete circle subtends a central angle of 360 degrees
so
using proportion
Find out the area of the shaded region if the central angle is equal to 80 degrees

Power
= Work done / Time
= 15000 N * 3 m / 50 s
= 45000/50 N-m/s
= 900 W
It may sound like an extremely low value, but 3.0 / 50 s is also a very slow speed.
The numbers 5, 12 and 13 can be used to correctly identify the sides of a right triangle, and this can be proven by using the Pythagorean Theorem.
5² + 12² = 13²
25 + 144 = 169
169 = 169
5 and 12 are the legs, and 13 is the hypotenuse. Hopefully this is what the question is asking. :)
Answer:

Step-by-step explanation:
we know that
---> by addition angle postulate
we have
----> given problem
----> given problem
substitute in the expression above

Divide by 2 both sides
