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
275,000 km
The moons A, B, C form a right triangle with AC forming a hypotenuse with the diameter of the planet and the distance of both moons from the surface. So add A to the surface, plus the diameter of the planet, plus surface to c.
115000+45000+115000 = 275000
Answer:
The period is 360° ( in radians, the period is 2π)
Step-by-step explanation:
For a sine/cosine (sinusoidal) function in the form
y = ASin(Bx-C) + D, we can say
A is the amplitude
360/B is the period
C is the phase shift
D is the vertical translation
<em>The function given is y = 2Sinx</em>
To find the period, we need 360/B. Since "B" is just "1", the period is
360/1 = 360
Answer: (4, -1)
Step-by-step explanation: You have to rewrite in vertex form and use the form to find the vertex
The answer
mathematics rules tell that
if A and B are two statements that are equivalents, that is also called biconditional statement, or " if and only if " statement
the general signification of <span>biconditional statement and its converse is:
if A, then B and if B then A (the converse), A and B are equivalent statements
</span><span>["If a natural number n is odd, then n2 is odd" and its converse ] does mean
</span><span>A natural number n is odd if and only if n2 is odd.
the answer is B</span>
