Answer: 5489
Step-by-step explanation:
Given the following :
Growth rate (r) = 19% per hour
Sample culture in population = 2300
Size of sample after 5 hours =?
Using the exponential relation:
P = Po * r^t
P = population after 5 hours
Po = Initial sample population
t = time
P = 2300 * (1 +19%)^t
P = 2300 ×(1 + 0.19) ^5
P = 2300 * 1.19^5
P = 2300 * 2.3863536599
P = 5488.61341777
P = 5489 (nearest integer)
Answer: 55
Step-by-step explanation:
Congruent angles intercept congruent chords, so since the circumference of a circle is 360 degrees, the arc angle 1 is inscribed in measures 110 degrees.
So, by the inscribed angle theorem, angle 1 measures 55 degrees.
The least common multiple between 3 and 4 is 12, so we can use this fact to rewrite both 1/3 and 1/4 in 12ths:
We're left with an answer of
7/12, which can't be reduced.
The answers are D, D, 93, A, A.
