Answer:
2,48,000
Step-by-step explanation:
- Initial population of bacteria = 15,500
- Bacteria doubles after every 234 hours
- So, after 0 (zero) hours, no of bacteria = 15,500
- After 234 hours, no. of bacteria = 2(15,500) = 31,000
- After 468 hours, no. of bacteria = 2(31,000) = 62,000 (2*234 = 468)
- After 702 hours, no. of bacteria = 2(62,000) = 124,000 (3*234 = 702)
- After 936 hours, no. of bacteria = 2(124000) = 2,48,000 (4*234 = 936)
Answer:
6/7 - 1/3
Step-by-step explanation:
You know that 1/2=0,5
Then, you have to solve the two sums:
![2/15+1/3=((2*3)+(15*1))/(15*3)=(6+15)/45=21/45=0,4666=0,47](https://tex.z-dn.net/?f=2%2F15%2B1%2F3%3D%28%282%2A3%29%2B%2815%2A1%29%29%2F%2815%2A3%29%3D%286%2B15%29%2F45%3D21%2F45%3D0%2C4666%3D0%2C47)
![6/7-1/3=((6*3)-(7*1))/(7*3)=(18-7)/21=11/21=0,5238=0,52](https://tex.z-dn.net/?f=6%2F7-1%2F3%3D%28%286%2A3%29-%287%2A1%29%29%2F%287%2A3%29%3D%2818-7%29%2F21%3D11%2F21%3D0%2C5238%3D0%2C52)
You now know what number of 0,47 and 0,52 is closer to 0,5; which is 0,52
0,47 is to 0,03 from 0,5
0,52 is to 0,02 from 0,5
Answer:
y = 0.8x + 0.5
Step-by-step explanation:
First, find the slope using two pairs of values, (0.5, 0.9) and (0.75, 1.1):
![slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1.1 - 0.9}{0.75 - 0.5} = \frac{0.2}{0.25} = 0.8](https://tex.z-dn.net/?f=%20slope%20%28m%29%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20%3D%20%5Cfrac%7B1.1%20-%200.9%7D%7B0.75%20-%200.5%7D%20%3D%20%5Cfrac%7B0.2%7D%7B0.25%7D%20%3D%200.8%20)
m = 0.8
Find y-intercept, b, by substituting x = 0.5, y = 0.9 and m = 0.8 into y = mx + b
Thus:
0.9 = (0.8)(0.5) + b
0.9 = 0.4 + b
0.9 - 0.4 = b
b = 0.5
To write the equation substitute m = 0.8, and b = 0.5 into y = mx + b.
Thus:
y = 0.8x + 0.5
Answer:
98.875
Step-by-step explanation:
Just add all the hours worked.
Hope this helps! :)