Answer:
Step-by-step explanation:
we have a exponential function of the form
where
y is the population of bacteria
a is the initial value
r is the rate of growth
x is the number of hours
we have
a=3,000 bacteria
For x=2, y=3,300
substitute
Apply square root both sides
substitute in the equation
<u><em>Predict how many bacteria will be present after 16 hours</em></u>
For x=16 hours
substitute
3(2x+1) = 7-2(x+5)
6x+3 = 7-2x-10
-3 -3
6x = 7-2x-10-3
+2x +2x
8x = -6
---- -----
8 8
x = -3/4
Answer:
The eighth of an inch scale measures more precisely.
Step-by-step explanation:
An eighth of an inch means that one inch is divided into 8 equal lengths on the scale i.e. the minimum length that can be measured is inch.
Again a fourth of an inch means that one inch is divided into 4 equal lengths on the scale i.e. the minimum length that can be measured is inch.
Therefore, the eighth of an inch scale measures more precisely as it can measure more small measurements. (Answer)
Take -5x + y =13 and rearrange for y:
y=13+5x
Substitute into other equation for y:
-3x+3(13+5x)=3
Multiply out brackets:
-3x+39+15x=3
Simplify:
12x+39=3
Rearrange for x:
12x=-36
x=-3
Substitute back into y=13+5x:
y=13+5(-3)
y=13-15
y=-2
True, because the standard deviation describes how far, on average, each observation is from the typical value. A larger standard deviation means that observations are more distant from the typical value, and therefore, more dispersed.