The least common denominator is the Least Common Multiple (LCM) of the divisors 3 and 4. Since these numbers have no common factors, their LCM is
... 3·4 = 12
The least common denominator of your fractions is 12.
... 1/3 = (1/3)·(4/4) = 4/12
... 3/4 = (3/4)·(3/3) = 9/12
Answer:
The exact values of the tangent, secant and cosine of angle theta are, respectively:



Step-by-step explanation:
The components of the unit vector are
and
. Since
, then
and
. By Trigonometry, tangent and secant can be calculated by the following expressions:


Now, the exact values of the tangent, secant and cosine of angle theta are, respectively:



Answer:
Option (C)
Step-by-step explanation:
To determine the population we use the formula,

Where
= final population
= Initial population
r = percentage growth
Now we substitute these values in the formula,


r = 1.0496 - 1
r = 0.0496
r = 0.05
Therefore, percentage growth of the population of Stark county is 5%.
Option (C). will be the answer.
A quadratic function whose vertex is the same as the y-intercept has the equation
y=x^2+k (where k is the y-intercept, with vertex (0,k))
Since the vertex coincides with the y-intercept, the axis of symmetry is x=0.
Answer: The slope = 5.
Step-by-step explanation:
The equation of a line in the slope -intercept form is given by :-

,where m= slope , c= y-intercept.
The slope of a line represents the rate of change of y with respect to x.
Given: Equation of line : Y= 5x+12
Here Slope (m)=5
Hence, the slope = 5.