Answer:
The general form of a natural logarithmic function is <em>f(x)=a In(x-h) +k.</em> Since the initial average length of the lizards was 20 centimeters, one possible point (h+1,k) through which the function passes is (0,20).
In this case, h= -1 since h +1 = 0 and k = 20.
It follows that x - h = (-1) = x + 1.
So, the function takes the form <em>f(x) = a In(x + 1) +20. </em>
The average length of the lizards after 2 years is 22.197. So f(2) =22.197. We substitute this value into the function
Step-by-step explanation:
<em>f(2) = a In(2 +1) +20 </em>
<em>22.197 = a In(3) + 20 </em>
<em></em>
<em>≈ a </em>
<em>2 ≈ a</em>
So the function that represents the average length of the lizards across this generation is <em>f(x) = 2 In(x+1) +20 </em>
Answer:
<em><u>$79.38</u></em>
Step-by-step explanation:
Find the diagram of the question attached
Area of the parallelogram = Base * Height
Given
Base = 8.1m
Height = 3.5m
Area of the parallelogram = 8.1 * 3.5
Area of the parallelogram = 28.35m²
If the carpet is priced at $2.80 per square meter, then;
1m² = $2.80
28.35m² = x
x = 28.35 * 2.80
x = $79.38
<em><u>Hence the cost of the carpet is $79.38</u></em>
Answer:
I believe it would be A hope this helps!
Step-by-step explanation:
Answer:
-13
Step-by-step explanation:
Given that:
Average temperature for a period of 4 days = - 8
Average temperature for a 5 day period = - 9
Temperature on the 5th day:
(total temp for the 4 days + 5th day temperature) / 5 = - 9
Let 5th day temperature = x
Total temperature for the 4 days = 4 * - 8 = - 32
(-32 + x) / 5 = - 9
-32 + x = - 45
x = - 45 + 32
x = - 13
From the given options we can think that x is
in the exponent of 3.
So, the given function is actually f(x) = 3^x +9
Now, we need to find the range of given
function.
We can see that first term is and exponential
term 3^x and second term is 9
We know that 3^x will always be greater than
O.
Therefore, 3^x +9 would always be greater
than 9.
Therefore, range would be y>9.
So, the correct option is B) (y | y > 9}.
