Answer:
-8i
Step-by-step explanation:
To multiply numbers is polar form
z1 = r1 ( cos theta 1 + i sin theta 1)
z2 = r2 ( cos theta 2 + i sin theta 2)
z1*z2 = r1*r2 (cos (theta1+theta2) + i sin (theta1+theta2)
z1 = 2(cos 70° + i sin 70°)
z2 = 4(cos 200+ i sin 200)
z1z2 = 2*4 (cos (70+200) + i sin (70+200)
z1z2 = 8 (cos(270) + i sin (270))
= 8 (0 + i (-1))
=-8i
Answer:
6
Step-by-step explanation:
subtract 3 from each side
The maximum amount of profit the carnival makes based on the number of tickets sold is 6.5 thousand of dollars,
<h3>How to determine the difference?</h3>
The function is given as:
f(x) = -0.5x^2 + 5x - 6
Differentiate the function
f'(x) = -x + 5
Set to 0
-x + 5 = 0
Make x the subject
x = 5
Substitute x = 5 in f(x)
f(5) = -0.5 * 5^2 + 5 * 5 - 6
f(5) = 6.5
The table is not given.
Hence, the maximum amount of profit the carnival makes based on the number of tickets sold is 6.5 thousand of dollars,
Read more about quadratic functions at:
brainly.com/question/18797214
Answer:
Step-by-step explanation:
log (x+3)=log8-log2
log(x+3)=log(8/2)=log4
x+3=4
x=4-3=1
The first one you have 
=
. To solve this you would multiply both sides by 3.
=x
Then simplify by dividing the numerator and denominator by 3.
=x (or in a mixed fraction 1
)
The second one you have 
=
. To solve this you would multiply both sides by x.
x=3
Now you would divide both sides by .
x=
You now then multiply 3 by 24 and then divide by 7.
x= (in a mixed fraction would be 10
)
