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
Answer:
Total length of ribbon to line the long sides will be 22 in
Step-by-step explanation:
In the given figure of kite if we draw a line "h" vertically will form two right angle triangles.
Then by applying Pythagoras theorem in both the triangles.
h²= (3x + 5)² + (2x + 1)² ------(1)
h²= (5x + 1)² + 5² ------(2)
By equating both the equations
(3x + 5)² + (2x + 1)² = (5x + 1)² + 25
9x² + 25 + 30x + 4x² + 4x + 1 = 25x² + 10x + 1 + 25
13x² + 34x + 26 = 25x² + 10x + 26
13x² - 25x² + 34x - 10x + 26 - 26 = 0
- 12x² + 24x = 0
12x² - 24x = 0
x² - 2x = 0
x(x - 2) = 0
x = 2
Now we will put x = 2 in the measure of sides of the kite.
Side 1 = (3x + 5)
= 3×2 + 5
= 11
Side 2 = (5x + 1)
= 5×2 + 1
= 11
Side 3 = (2x + 1)
= 2×2 + 1
= 5
Therefore, Total length of ribbon to line the long sides will be = 11 + 11
= 22 in.
Your awnser is : x= 8+5a/a+b
<span>8√5 + 2√45
= </span><span>8√5 + 6√5
= 14</span>√5
hope it helps
3,9,27 ( the 9 can be multiplied by itself to get 81 9*9)
