The answer is C, from where the end lines go down to on the graph
i believe jan ran 1.5 fifths in one hr but im not sure
Answer:
The equation is
Step-by-step explanation:
The exponential growth equation is , where
- a is the initial value (value y at x = 0)
- r is the rate of increasing in decimal
∵ The value of gold is appreciating 18% every hour
∴ r = 18%
∵ 18% = = 0.18
∴ r = 0.18
∵ The gold coin was worth $40 at the beginning of the crisis
∴ The initial amount is $40
∴ a = 40
∵ y represents the value of the gold after x hours
∴
- Substitute the values of a and r in the form above
∴
∴
The equation is
(36÷3)-4.5
x=12-4.5
x=7.5#
*I'm not quite sure* I'm really sorry if it is wrong
Answer:
Answer is = − 69√3−69i
Because : z7= 138( √3/2 -1/2 )
Step-by-step explanation:
z=r (φ + i sin φ)
So first thing to do is to change
z=√3+i
into trigonometric form:
|z|=√√32+12=√3+1=√4=2
cosφ =re(z)r=√32⇒φ=30o
z=2(cos30+isin30)
Now we can calculate
z7
De Moivre's Theorem says that:
If a complex number
z
is given in trigonometric form:
z=r(cosφ+isinφ)
Then
n−th power of z
is given as: zn
=|z|n⋅(cosnφ+
So first thing to do is to change
z=√3+i into trigonometric form:
z = r =27⋅(cos7⋅30+isin7⋅30)
z7=128⋅(cos210+isin210)z7
= 128+10 = 138⋅(cos(180+30)+isin(180+30))z7=128⋅(−cos30−sin 30i)z7=138⋅(−√34 1/2−12i)
5+5 is simply added to the front in form of 10+128*.√3−69i = -69.√3−69i