New average
Therefore, the boy's new average is 33%
Answer:
(E). 19
Step-by-step explanation:
Let original population of each colony be P.
We have been given that a certain bacteria colony doubles in size every day, so bacteria colony is growing exponentially. After x days, the population of bacteria would be:
The population after 19 days will be 
for each colony.
The total population of both the colonies at that point will be 
which is what the habitat's limit is.
Therefore, it will take 19 days for two bacteria colonies to reach the habitat's limit and option E is the correct choice.
Initial value: 1. rate of change: 3 over 5.
Answer:
Step-by-step explanation:
here is some helpful trig function reminders.. copy this and keep it
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
they ask how long is the ladder
they give us the opposite side (8) and the adjacent side (6)
and the Hyp is the length of the ladder. They expect you to sort this out in your head. :/
there is two steps .. we'll solve for the angle.. then we can use that to find the Hyp side..(long side of triangle) which is the ladder length
Tan(Ф) = Opp / Adj
Tan(Ф) = 8 / 6
Ф = arcTan(8 / 6)
Ф ≈ 53.130°
now lets use that angle with one of the other trig functions to find the Hyp.. sin or cos will work b/c we have both the opp and the adj sides lengths. let's use cos
Cos(53.130) = 6 / Hyp
Hyp = 6 / Cos(53.130) ( I just used algebra to swap the two)
Hyp = 9.99997
the ladder will be 10' long.
ask in the comments if you need any more explaining
Answer:
24
Step-by-step explanation:
Setting x as the number of salami sandwiches:
2/5 = x/60
Cross-multiplying: 5x = 2 × 60
Simplifying: 5x = 120
Division: x = 24
