Answer:
B and C
Step-by-step explanation:
Triangles are similar if they have the same angles and their sides are proportional
4 miles represent one inch on the map.
This is because since they are 8 miles apart, and 2 inches in the map, and you want to find out how many miles per inch. You divide 8 by 2 because you want to divide how many miles by how many inches so that you can get 2 parts. That's how you get four.
Now that you cut 8 miles into two parts, you have halves, and half of eight is 4. And 1 inch represents that half since 1 + 1 equals 2 and 4 miles represents each of the two parts since 4+4 equals 8.
Length (L): L
width (w): 1/2L + 3
Area (A) = L x w
308 = (L)(1/2L + 3)
308 = (1/2)L² + 3L
616 = L² + 6L
0 = L² + 6L - 616
0 = (L - 22)(L + 28)
0 = (L - 22) 0 = (L + 28)
L = 22 L = -28
Since length cannot be negative, disregard the -28
L = 22
width (w): 1/2L + 3 = 1/2(22) + 3 = 11 + 3 = 14
Answer: width = 14 meters, length = 22 meters
Answer:
The doubling time is of 27.65 minutes.
Step-by-step explanation:
Exponential equation of growth:
The exponential equation for population growth is given by:
In which P(0) is the initial value and k is the growth rate.
A freshly inoculated bacterial culture of Streptococcus contains 100 cells.
This means that . So
When the culture is checked 60 minutes later, it is determined that there are 450 cells present.
This means that , and we use this to find k. So
So
Doubling time:
This is t for which P(t) = 2P(0) = 200. So
The doubling time is of 27.65 minutes.
The answer is 2.475 x 10^5