Hello :
<span>5cosθ = 3cosθ - 1.
</span><span>5cosθ - 3cosθ = 1.
2cos</span>θ =1
cosθ =1/2
all solutions :
cosθ =cos<span>π<span>/3
</span></span>all solutions :
θ =π/3 +2kπ or θ = - π/3 +2kπ ....k in Z
ANSWER
450lb
EXPLANATION
If the weight, m of an object on the moon varies directly as the weight of an object e, on the earth, then we can write the mathematical statement,.

We introduce the constant of proportionality to obtain,

When, m=95, e=570,
This implies that,



The equation now becomes,

We want to find e, when m=2700,

Answer:
Step-by-step explanation:
hello :
the vertex -form of quadratic function f(x) is : f(x) = a(x+b)²+c
the vertex : (- b , c )
means : (-2,-3) so : -b = -2 and c = - 3 so : b =2 and c = -3
f(x) = a(x+2)²-3
calculate : a
the graph passes through the point (2, 13) : f(2)=13
means : a(2+2)²-3 = 13
16a - = 13
16a = 16 so : a = 1
f(x) is represented by the equation f(x) = (x+2)²-3
The graph of f(x) color red and g(x) blue
is the y-intercept when g(x) greater g(x) than f(x) is when x=0 so : y = 6
<span>Yes, the two events are independent because P(NF|PB) = P(NF).
I'm not 100% sure though so wait til someone else answers :)</span>