Knowing that you use 275 KWH from 7 a. m. – 7 p. m. and 265 KWH from 7 p. m. – 7 a. m., answer the follow question using the chart below.

Constant Usage $0.06624/KWH
Daytimer (Most usage between 7 a. m. – 7 p. m.)

As long as most power used is 7 a. m. – 7 p. m., then you receive a 20% discount on power usage 7 p. m. – 7 a. m.

$0.06831/KWH
NightTimer (Most usage between 7 p. m. – 7 a. m.)

If more than 50% of power usage is outside of 7 p. m. – 7 a. m., then you have to pay the Daytimer rate for all power used 7 a. m. – 7 p. m.

$0.06445/KWH

How much have you paid on the NightTimer plan?

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.

sample answer: you can determine whether each element of the domain is paired with exactly one element of the range. for example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function.

step-by-step explanation: hi!

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west