Answer:
<u>The distance of the library in the map is 0.67 inches (Rounding to two decimal places)</u>
Step-by-step explanation:
1. Let's review all the information given for solving this question:
Scale factor for the map of the town = 0.5 inches: 3 miles
Distance from Niko's house to his school = 3 miles
Distance from Niko's school to the library = 4 miles
2. Let's find the distance of the library in the map
Distance of the library in the map = Distance of the library * Scale factor
Distance of the library in the map = 4 miles * 0.5 inches:3 miles
Distance of the library in the map = (2 miles * inches)/3 miles
Distance of the library in the map = 2 inches/3 (Miles are cancelled in the numerator and in the denominator)
<u>Distance of the library in the map = 0.67 inches (Rounding to two decimal places)</u>
Answer:
Yes, but it is not linear. It is exponential : 
Step-by-step explanation:
On the first day we have 5 bacteria.
On the second day we will have 5*2 = 10 bacteria.
On the third day we will have 10*2 = 5*2*2 = 5*2^2 = 20 bacteria.
On the fourth day we will have 20*2 = 5*2*2*2 = 5*2^3 = 40 bacteria.
We can see that
,
where x is a number of days and f(x) gives us the number of bacteria.
Answer:
x = -1
Step-by-step explanation:
4x + 5 = 3x + 4
-5 -5
4x = 3x -1
-3x = -3x
1x = -1
x = -1
Answer:
C. 270 grams
Step-by-step explanation:
-This is an exponential growth function which can be expressed using the formula:
Where:
is the size at time t.
is the initial size
is the growth rate 
is the time
Given the size at t=2 and at t=0, we substitute in the growth function to solve for r:
We use this calculated rate to determine the population at t=6
Hence, the bacteria's size at t=6 is 270 grams
Answer: From what you wrote the I think the ball is drop
At time 0 you are 7 meters above ground
You basically just need to solve for
1.5 =7t-4.9t^2
by rearrange the equation you get
4.9t^2-7t+1.5=0
by using Quadratic Formula
t=1.166s
