Answer:
Step-by-step explanation:
We have the following function
y = 12^x, and we need to find the inverse function.
To find the inverse function we should solve the equation for "x". To do so, first, we need to:
1. Take the logarithm in both sides of the equation:
lg_12 (y) = log _12 (12^x)
(Please read lg_12 as: "Logarithm with base 12")
From property of logarithm, we know that lg (a^b) = b*log(a)
Then:
lg_12 (y) = x*log _12 (12)
We also know that log _12 (12) = 1
Then:
x = log_12(y).
Then, the inverse of: y= 12^x is:
Answer:
30 SQUARE units
Step-by-step explanation:
Since the problem only includes two dimensions, we solve for area, not volume. Area=width*height, or 3*10=30. Because we're solving for area the answer is 30 square units.
To solve this, find the rest of the sides:
The other sides are:
1. 24 - 8 = 16
2. 23 - 9 = 14
Next, just add it up:
24 + 9 + 16 + 14 + 8 + 23 = 33 + 30 + 31 = 94
Answer:
22) 22
23) -350
Step-by-step explanation:
22)
1/4 = 0.25 ft
5.5 / 0.25 = 22
Answer: 22 tiles are needed
23)
12(x + 360) = 120
x + 360 = 10
x = - 350
Answer:
all work is shown and pictured
