Answer:
Step-by-step explanation:
Let's solve this using our formula for exponential functions:
where a is the initial value and b is the growth/decay rate. We will fill that equation in with 2 of the coordinates on the graph and come up with the values for both a and b. (0, 3) and (1, 6):
. Anything raised to the power of 0 is 1, so that means that
a = 3. We will use that value along with the x and y from the second coordinate to solve for b:
. b to the first is just b, so our equation is
6 = 3b and
b = 2.
Our equation then is
, the third choice down.
Answer:
2^170
Step-by-step explanation:
(16 x 4^3 x 8^8)^ 5
- start by converting it all to a common base
(2^4 x 2^3 x 2^24)^5
- calculate the product, by adding all the powers
(2^34)^5
= 2^170
The distance of Erika from kite directly is 35.71 yards
Step-by-step explanation:
Considering the given situation as a right triangle with string as hypotenuse and the distance between both girls as base
So,
As the triangle is a right triangle, we can use pythagoras theorem to solve this problem.
Rounding off to nearest hundredth
=> 35.71 yards
Hence,
The distance of Erika from kite directly is 35.71 yards
Keywords: Triangle, Pythagoras
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