Answer:
The distance is minimized 22 minutes after 3:00 pm.
Step-by-step explanation:
Let t is the time for the 2 boats after 3:00 pm, we have the distance of:
- Boat 1: 20t
- Boat 2: 15t and its distance to the dock is given by (15-15t)
The paths of the boats form a right triangle, in which the hypotenuse (also the distance between the two boats) is:
D = (20t)² + (15 - 15t)²
<=> dD/dt = -2(15² )( 1-t ) +2 × 20² × t
<=> dD/dt = 2 (15² + 20²) × t -2 ( 15 )² = 0
<=> t = 2 ( 15 )² : 2 (15² + 20²)
<=> t = 0.36 hours = 0.36 × 60 = 21.6 minutes ≈ 22 minutes
Therefore, the distance is minimized 22 minutes after 3:00 pm.
Answer:
The product rule of exponents
Step-by-step explanation:
An expression is 6xa^3 x 3xa^4
This can be hard to answer but there are three rule. 1st you keep the base which is a. 2nd is add the exponents which are 4 and 3. 3rd is multiply the coefficient which is 6 and 3. and this answer would be 18xa^7.
Answer: 80
Step 1: Find 
of 168.
168 ÷ 2 = 84
Step 2: Subtract 4, since Brandon sold 4 more adult tickets.
84 - 4 = 80.
Answer = 80
No because you can have negative numbers
