Step-by-step explanation:
cos 45° = distance to east / total distance=7,2
distance to east = cos 45° * 7,2 = 5,1 km
The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp.
calculates three times a year, not just once a year.

3 times a year
so x becomes 3x


Take log on both sides


Use log property and move exponent before log

Divide both sides by x
log 4 = 3 log(1+r)
Solve for '1+r'
log 4 = log(1+r)^3
Remove log from both sides
4 = (1+r)^3
take cube root on both sides
1.584740= 1+r
1+r = 1.59

so equation becomes

1+r = 1.59
subtract 1 from both sides
So r= 59 = 59%
So growth factor is 59%
Answer is option C
To represent the solution set of a linear equation parametrically, we introduce other parameters like s and t for the free variables.
Every linear equation has n - 1 free variables where n is the number of variables.
For x + y + z = 2, we have 3 variables and 3 - 1 = 2 free variables.
First, let y and z be the free variables, we first solve the linear equation for x to get:
x = 2 - y - z
Therefore , the parametric representation of the solution set is given by :
x = 2 - s -t
y = s
z = t
Learn more about The linear Equation at:
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Answer:
118 degrees
Step-by-step explanation:
A line has an angle of 180 degrees, so to find the unknown angle of b just subtract the known angle from 180.
180 - 62 = 118
Answer:
k=60
Step-by-step explanation:
38=k-22
+22 +22
60=k