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:
10 minutes
Step-by-step explanation:
Adam- 3 mph = 20 minutes a mile
Amy- 12 mph = 5 minutes a mile
Adam left 30 minutes prior to Amy so he is a mile and a half ahead before amy even starts.
30 minutes = 1.5 miles (Adam)
7.5 minutes = 1.5 miles (Amy)
but with this being said you have to continue to add time and miles to Adam because he's now gone an extra 7.5 minutes too.
45 minutes = 2.25 miles
15 minues = 3 miles
no youre too far and Amy is now further so we have to go back some
40 minutes = 2 miles
10 minutes = 2 miles
With all this being said Amy only needs to ride her bike for 10 minutes before she catches back up to Adam
Answer:
3
Step-by-step explanation:
1st two are 25, next two are three times that
so 3 x 25 = 75
so the four digit number is 2575
that is multiplied by 352
so 2575 x 352 = 906400
