Answer: a) 
b) 25165824000
Step-by-step explanation:
The exponential equation for growth is given by :-
, where a= initial value , b =multiplicative growth factor and t = time.
Given : A bacteria culture contains 1500 bacteria initially and doubles every hour.
i.e. a = 1500 and b= 2
Then, the function N that models the number of bacteria after t hours will be :
To find , the number of bacteria after 24 hours , we put t= 24 in above equation , we get
Hence, the number of bacteria after 24 hours is 25165824000.
Answer:
95% of monthly food expenditures are between $110 and $190.
Step-by-step explanation:
Given : The monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical, normal distribution. The sample mean is $150 and the standard deviation is $20.
To find : Using the Empirical rule, about 95% of the monthly food expenditures are between which of the following two amounts?
Solution :
At 95% of the data is between two standard deviation to left and right of the mean is given by,
To the left side, 
To the right side, 
We have given,
The sample mean 
The standard deviation 
Substitute in the formula,
Therefore, 95% of monthly food expenditures are between $110 and $190.
Width of rectangle is 
Step-by-step explanation:
Area of rectangle = 
Length of garden = 
Width of rectangle = ?
Using the Formula:
Area = Length * Width
Putting values and finding width:
So, width of rectangle is
Keywords: Area of rectangle
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Answer:3/2
3x3-2x2-7x+6=x+1(Multiply the numbers)
9-4-7x+6=x-1(Calculate)
11-7x=x-1(Move the terms)
-7x-x=-1-11(Collect like terms&calculate)
-8x=-12(Divide both sides by -8)
x=3/2
