Answer:
y=log_(6)x
Step-by-step explanation:
From the definition of logarithm:
<---> 
In our case, we have

which means that b=6, therefore the inverse function is

which can be rewritten by switching x and y:

Answer:
x = -10
Step-by-step explanation:
x + 75 + x + 125 = 180
2x + 200 = 180
2x = -20
x = -10
(In this problem a negative number is okay because the end value will be a whole number still.)
Answer:
8 hours
Step-by-step explanation:
basic equation
Q (flow rate) = V (volume)/ t (time)
so to find the time we just rearrange the equation and become
t = V/Q
V of cylinder
V = πr²T
and r (radius) = ½ diameter
V = 3.14 x 5² x 1.4
V = 109.9 m³
if the Q is 13 m³/hour then
t = 109.9/13 = 8.453 hours
round to nearest hour = 8 hours
Answer:
4,000,000,000 meters
Step-by-step explanation:
4 x 10,000,000,000,000 x 0.0001 = 4,000,000,000 meters
Step 1.
Calculate measure of angle α:

Step 2.
Calculate what fraction of the angle 360° is the angle α:

Step 3.
Calculate the circumference of the Earth (circle):

Step 4.
The length of arc is equal 1/40 of the circumference:


<h3>Answer: A) 628 miles</h3>