1. a (n) = -0.6(n) + 14.6
2. a (12) =7.4 sec
3. 6th race
Would you like an explanation?
Answer:
200
Step-by-step explanation:
18 × 10 = 180
20 × 1 = 20
180 + 20 = 200
Random numbers from 0-9 with 0, 1, 2, and 3 being rain and 4, 5, 6, 7, and 8 being cloudy.
Answer:
Option C. 1,024 bacteria
Step-by-step explanation:
We are given that a bacteria culture begins with 4 bacteria which double in size every hour. And we have to find that how many bacteria exist in the culture after 8 hours;
So, Number of bacteria after one hour = 4 * 2 = 8
Number of bacteria after two hours = 8 * 2 = 16
Number of bacteria after three hours = 16 * 2 = 32
Number of bacteria after four hours = 32 * 2 = 64
Number of bacteria after five hours = 64 * 2 = 128
Number of bacteria after six hours = 128 * 2 = 256
Number of bacteria after seven hours = 256 * 2 = 512
Number of bacteria after eight hours = 512 * 2 = 1,024
Therefore, 1,024 bacteria exist in the culture after 8 hours .
If the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder, then its volume is

Use following formulas to determine volumes of sphere and cylinder:
wher R is sphere's radius, r - radius of cylinder's base and h - height of cylinder.
Then
Answer 1: correct choice is C.
If both the sphere and the cylinder are dilated by a scale factor of 2, then all dimensions of the sphere and the cylinder are dilated by a scale factor of 2. So
R'=2R, r'=2r, h'=2h.
Write the new fask volume:

Then

Answer 2: correct choice is D.