1/14 minute
1/7in=1/14min
14/7in=min
2in=min
The rate is 2 inches per minute
The unit rate for the given problem, 1/7 inch per 1/14 minute, is calculated by dividing the inches by the minutes. This simplifies to 2 inches per minute.
In mathematics, a unit rate is a rate in which the second number (or denominator) is one. When you are asked to write the rate 1/7 inch per 1/14 minute as a unit rate, you are being asked to find a rate that tells you how much of each quantity occurs for each single unit of the other quantity, in this case for 1 minute. To calculate this unit rate, divide the quantity in inches by the quantity in minutes.
In this problem, you can find the required unit rate by dividing (1/7) by (1/14), which simplifies to (1/7) * (14/1) = 2 inches. So, the unit rate for this problem is 2 inches per minute.
#SPJ2
Algebra 2
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)