Answer:

Step-by-step explanation:
The central angle of the sector representing rent expenses in the pie chart is found by simple rule of three:


In this item, we are to supply for the missing term on one side of the equation. The left side is given to be composed of 62.834 x 0.45. The right hand side is given to be composed of 314170 along with a missing entity.
Translating the given to mathematical expression and letting A be the unknown,
62.834 x 0.45 = 314170 A
To determine the value of A, divide both sides of the equation by 314170.
(314170A)/(314170) = (62.834 x 0.45) / 314170
A = 0.00009
The missing value is 0.00009 or 9.0 x 10^-5.
Answer:
3.22222...... = 
Step-by-step explanation:
In this question we have to convert the number given in recurrent decimals into fraction.
Recurrent decimal number is 3.22222.......
Let x = 3.2222......... -------(1)
Multiply this expression by 10.
10x = 32.2222........... -------(2)
Now subtract the expression (1) from (2),
10x = 32.22222.....
<u> x = 3.22222.......</u>
9x = 29
x = 
Therefore, recurrent decimal number can be written as
which is in the form of
.
Answer:
(a) the initial count of bacteria
(b) the growth factor (per hour)
(c) the initial count in the second study
(d) the difference in initial counts between the two studies
Step-by-step explanation:
(a) 1200 is b1(0), the initial count of bacteria.
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(b) 1.8 is the growth factor per hour, the factor that multiplies the previous hour's count to get this hour's count.
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(c) Assuming b2(t) = 1000(1.8)^t, the value 1000 is the initial count of bacteria in the second study, b2(0).
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(d) The difference between 1200 and 1000 means the first study started with 200 more bacteria than the second study did