Answer:
The range of f(x) is (−∞,∞), which is all real numbers. In fact, this range holds for any base for the log. 3. For 0">a>0 and a≠1, f(x)=ax has a range of (0,∞).
They both are correct <span>because adding two numbers that are opposites is equivalent to adding zero.
I had the same question on my quiz.</span>
Answer:
4.465 × 
Step-by-step explanation:
235.000 × 0.00019
2.35 × 10² × 1.9 × 
2.35 × 1.9 × 10² ×
4.465 × 
4.465 × 
4.465 ×
Answer:
Option A
Step-by-step explanation:
The complete question is attached here
The rate of increase of bacterial population be K
As we know
where Y is the final population. In this case it is 1000
K is the rate of increase of population i.e 3 times per hour
T is the time in hours
Y0 is the initial population = 5
Substituting the given values, we get -
Taking log on both sides, we get -
ln 
= ln 
T = 2.084 hours
hence, option A is correct
Answer:
12 units
Step-by-step explanation:
To find any side length of a right triangle given two side lengths, you would use the pythagorean theorem which is a² + b² = c². In this equation, a and b represents either the height of base of the triangle, and c represents the hypotenuse of the triangle (the diagonal line - in your question it is 13). By plugging in the base and hypotenuse, you get the equation of 5² + b² = 13². 5² is equal to 25 and 13² is equal to 169, so the equation is 25 + b² = 169. Subtract 25 for both sides of the equation and you find that b² = 144. Square both sides and the missing length is 12 because √144 = 12.
