Answer:
x=0.27
Step-by-step explanation:
The given expression is

To solve this equation, we graph the functions:

and

From the graph, the two curves intersects at x=-0.24 and x=0.27.
But the domain of the logarithmic function is x>0
Therefore x=0.27
There are 52 weeks in one year. If we divide 159 by 52 we get 3.05. Therefore, there would be an average of 3-4 murders per week.
Step-by-step explanation:
the area is
length × width
increasing the length by 30% means multiplying the original length by 1.3.
increasing the width by 10% means multiplying the original width by 1.1.
so, the new area is (by using the old length and width)
length × 1.3 × width × 1.1 = length × width × 1.3×1.1 =
= old area × 1.3 × 1.1 = old area × 1.43
so, the area increases by 43%.
Answer:
5 books.
Step-by-step explanation:
She can carry 18 pounds in total. She already has her lunch and her gym clothes inside her bag, which take up 1 + 2 = 3 pounds. Since 3 pounds are taken, that leaves 18 - 3 = 15 pounds for her books. Each book is 3 pounds, so she can carry 15/3 = 5 books in her backpack.
If a set covers a range of points, including those between isolated points and can not be written as a list, it is called continuous set. Continuous set are not restricted to defined separate values, they can occupy any value over a continuous range.