Answer:
Hour 3
4 * 2 = 8
Hour 4
8 * 2 = 16
Hour 6
32 * 2 = 64
Hour 7
64 * 2 = 128
Hour 12
2048 * 2 = 4096
Step-by-step explanation:
We are told that initially there is a bacterium that doubles every hour, so let's calculate what happens in the first 12 hours every hour.
Hour 0
one
Hour 1
1 * 2 = 2
Hour 2
2 * 2 = 4
Hour 3
4 * 2 = 8
Hour 4
8 * 2 = 16
Hour 5
16 * 2 = 32
Hour 6
32 * 2 = 64
Hour 7
64 * 2 = 128
Hour 8
128 * 2 = 256
Hour 9
256 * 2 = 512
Hour 10
512 * 2 = 1024
Hour 11
1024 * 2 = 2048
Hour 12
2048 * 2 = 4096
We can deduce that the growth of the bacteria is:
2 ^ n
where n is the # of time that has passed
are of a circle=pie r squared. So first find the area using the diameter. half of 3.5 is 1.75. 1.75 squared is 3. 06. 3.14 times 3.06 is 9.61. Now find half of that which is 4.81
All of them use Tons, pounds or ounces so you need the conversion factors which are these.
1 Ton = 2,000 lbs
1 lb = 16 oz
2.) 6T = 12,000 lbs (6 x 2,000)
3.) 18 lbs = 288 oz (16 x 18)
4.) 3,200 oz = 200 lbs (3,200/16)
5.) 12 T = 24,000 lbs(12x2,000)
6.) 9 lbs = 144 oz (16x9)
7.) 7 lbs = 112 oz(16x7)
8.) 100 lbs = 1,600 oz (16x100)
9.) 60,000 lbs = 30 T (60,000/2,000)
10.) 40 oz < 4 lbs (4x16)
11.) 80 oz = 5 lbs (5x16)
12.) 5,000 lbs < 5 T (5x2,000)
13.) 18,000 lbs = 9 T (9x2,000)
14.) 25 lbs > 350 oz (250x16)
15.) 27 oz < 2 lbs (16x2)
16.) 3 T = 6,000 lbs (3x2,000)
17.) First you need to know how many ounces 22 pounds is, so you multiply 16 by 22 to get 352 oz. Then subtract by 112 oz, she can add 240 more oz or 15 more lbs.