Answer:
x=64
Step-by-step explanation: because the sides are both the same so do 128/2 which equals 64 so x=64
Answer:
x = 105 degrees
Step-by-step explanation:
First, figure out the interior angle, we can do this ading the two angles and then subtracting the sum from 180 (since the interior angle of a triangle adds up to 180 degrees)
180 - (55 + 50) = 75
next, we can figure out x by taking the sum (75) and subtracting that from 180 since it is a supplementary angle:
180 - 75 = 105
x = 105
Answer:
(a)Yes, it is an exponential function.
(b)
Step-by-step explanation:
(a)A population grows exponentially if it increases by a common ratio(called the growth ratio). We can see from the given information that the population of E.coli doubles every 20 minutes, therefore it is an exponential growth with a growth ratio of 2.
(b)The population, P(t) at any time t of an initial population,
with a growth ratio of r over a period k can be modeled using the function:

In this Case:
=200
Growth rate,r=2
Growth Period,k=20 minutes
Therefore, the equation that models the function is:
, t is in minutes
Sequence: 2 + 1 + 1/2 + 1/4 + 1/8 + ...
Explanation:
Here Given Sum to Infinity

Identify following
Solve:


The sum of this infinity series is 4
5, 5 1/3, 5 2/3, 6, 6 1/3, 6 2/3, 7