
the numbers should be

or

because you move the point 18 places to obtain 9.15(the dot is initially at the end of the number)
Step-by-step explanation:
Total fat in mixture is 8x+15y100 pints.
Explanation:
In a mixture of x pints of 8% butterfat, we have 8x100 pints of butter
and in y pints of 15% butterfat, we have 15y100 of butterfat.
Hence total fat in mixture is 8x+15y100 pints.
Step-by-step explanation:
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Answer:
F
Step-by-step explanation:
s²+s²=(4√2)²
2s²=32
s²=16
s=4
Answer:
The number of bacteria at initial = 187
Step-by-step explanation:
Given that the population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t.


Integrating both side we get
㏑ N = k t + C ------- (1)
Now given that after 3 hours it is observed that 500 bacteria are present and after 10 hours 5000 bacteria are present.
⇒ ㏑ 500 = 3 k + C -------- (2)
⇒ ㏑ 5000 = 10 k + C ------ (3)
⇒ ㏑ 5000 - ㏑ 500 = 7 k
⇒ ㏑
= 7 k
⇒ ㏑ 10 = 7 k
⇒ k = 0.329
Put this value of k in equation (2),
⇒ ㏑ 500 = 3 × 0.329 + C
⇒ C = 5.23
Put this value of C in equation 1 we get,
⇒ ㏑ N = k t + 5.23
Initially when t = 0 , then
⇒ ㏑ N = 5.23
⇒ N = 187
Thus the number of bacteria at initial = 187