Answer:
x ≈ ±20.086/√(t - 1)
Step-by-step explanation:
ln(t - 1) + ln(x²) = 6
Recall that lnu + lnv = ln(uv). Then
ln(t - 1) + ln(x²) = ln[(t-1)x²] = 6
Take the natural antilogarithm of each side
(t - 1)x² = e⁶
Divide each side by t - 1
x² = e⁶/(t-1)
Take the square root of each side
x = ±e³/√(t - 1)
x ≈ ±20.086/√(t - 1)
Answer:
The set of all real numbers
Step-by-step explanation:
The domain is the set of all real numbers (both positives and negatives including zero.
Answer:
Negative
Step-by-step explanation:
Answer:
The area of the figure = 112 in²
Step-by-step explanation:
The figure consist of:
1) A square of side length of 10 in.
2) A right triangle with a base of (10 - 6 = 4 in) and a height of (16 - 10 = 6 in)
So,
The area of the square = (side length)² = 10² = 100 in²
The area of the triangle = 0.5 * height * base = 0.5 * 6 * 4 = 12 in²
So,
The total area = 100 + 12 = 112 in²
<u>The area of the figure = 112 in²</u>
There are 256 possible combinations of fireworks, if they can be repeated in each 4 firework combinations.
If they cannot be repeated, there are 24 possible combinations.
