Answer:
Time for bacteria count reaching 8019: t = 2.543 hours
Step-by-step explanation:
To find the composite function N(T(t)), we just need to use the value of T(t) for each T in the function N(T). So we have that:
Now, to find the time when the bacteria count reaches 8019, we just need to use N(T(t)) = 8019 and then find the value of t:
Solving this quadratic equation, we have that t = 2.543 hours, so that is the time needed to the bacteria count reaching 8019.
Answer:
hi! your answer should be 42.
A) angle 1 = angle 2 - Incorrect
These angles are only on one of the following lines, which means that they do not show that lines C and D are parallel. In addition, angles 1 and 2 are supplementary, so they could not be equal.
B) angle 1 + angle 2 = 180 - Incorrect
Though this is true, this does not prove that lines C and D are parallel because both of these angles are on the same line.
C) angle 2 = angle 3 - Correct
These angles are alternate interior angles and there are angles on both lines, which proves that lines C and D are parallel.
D) angle 2 + angle 3 = 180 - Incorrect
These angles are equivalent, so they cannot add up to 180 degrees unless the intersecting line was perpendicular to both lines C and D.
Hope this helps!! :)
You are trying to solve for k (get k by itself)
-5k - 19 = 5 - 13k Add 19 on both sides
-5k - 19 + 19 = 5 - 13k + 19
-5k = 24 - 13k Add 13k on both sides
-5k + 13k = 24 - 13k + 13k
8k = 24 Divide 8 on both sides
k = 3
3/4 is equivalent to 9/12 because when we simplify 9/12 we get
3/4
or
if we multiply 3/4 by 4 we will get 9/12
