Answer:
Step-by-step explanation:
Given that ln 2 = 0.6931 and ln 3 = 1.0986
We have to find the values for the given numbers
using properties of log
Properties of log are
log a+log b = log ab: log a-log b = log a/b
a) ln 0.25 = ln 1-ln 4 = -2ln 2 = -1.3862
b) ln 24 = ln 3 (2^3) = 3 ln 2 + ln 3 = 2.0793+1.0986
=3.1779
c) ln (12)^(1/3) = 1/3 ln (2^2*3) =1/3 (1.3862+1.0986)
= 0.8283
d) ln (1/72) = -ln 72 = -ln 9 -ln 8
= -3 ln 3 - 3ln 2
= -5.2752
The two sales people for a local advertising firm are Trinity and Jason.
Sales amount of Trinity = $2330
Sales amount of Jason = $1740
Total sales of both the people =
The fractional value of Trinity's sales = or 57%
The fractional value of Jason's sales = or 43%
(18)blueberry muffins multiplied by the number of blueberries each muffin contained (6) = the total number of blueberries lisa used (108)
Answer:
Explanation:
<u>1. Given vector:</u>
- length: 4.00 mm = magnitude of the vector
- angle: 23.5º north of east = 23.5º from the x-axys (counterclockwise)
<u>2. y-component</u>
The y-component may be determined using the sine ratio, the angle from the x-axys (counterclockwise direction), and the magnitude of the vector.
- sine (23.5º) = y-component / magnitude
- y-component = magnitude × sine (23.5º) = 4.00 mm × sine (23.5º) = 1.59 mm.