Answer:
Step-by-step explanation:
3x^4(−6x)
=3*x^4*(−6)*x
=−18*x^5
=−18x^5
Hope this helps if I doesn’t helps I will b happy to help u again
Answer: see proof below
<u>Step-by-step explanation:</u>
Given: cos 330 = 
Use the Double-Angle Identity: cos 2A = 2 cos² A - 1

Proof LHS → RHS:
LHS cos 165
Double-Angle: cos (2 · 165) = 2 cos² 165 - 1
⇒ cos 330 = 2 cos² 165 - 1
⇒ 2 cos² 165 = cos 330 + 1
Given: 

Divide by 2: 

Square root: 
Scratchwork: 

Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE

LHS = RHS 
Answer:

33 gallons of water to begin with.
Step-by-step explanation:
So we essentially are given two coordinates: (6,87) and (21,222). To find an equation, we simply need to find the slope and y-intercept. We know it's a linear equation because it's a steady stream, meaning a constant slope.
The slope is:

So, the rate at which the stream flows is 9 gallons per minute.
Now, let's find the initial amount of water. To do this, we can use point-slope form. Pick either of the two points. I'm going to use (6,87).

So, there were 33 gallons of water in the tank to begin with.
(-7/8) / (-1 2/5) = (-7/8) / (-7/5) = (-7/8) * (-5/7) = 5/8
Answer:
a. $2,303.59
b. $5,803.59
Step-by-step explanation:
A = P(1 + r)^t
A = 3500(1.017)^30
A = 5803.59