Answer:
50 cents
Step-by-step explanation:
half of 5.00$ is 2.50$
-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7, in Order from least to greatest
Fudgin [204]
-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7
Answer: See each part below.
Part A: The y-intercept is the first value, or 12. That means that they bird is 12 miles from its nest when the time started.
Part B: The average rate of change is the slope. From 1 to 3 hours, the bird went from 20 to 36 or 16 miles. 16 miles in 2 hours is the same as 8 miles in 1 hour.
Part C: To find the extent of the domain, write and solve the following equation for 172 miles.
172 = 8x + 12
160 = 8x
20 = x
The domain will go up to 20 hours.
Answer:
13 ft/s
Step-by-step explanation:
t seconds after the boy passes under the balloon the distance between them is ...
d = √((15t)² +(45+5t)²) = √(250t² +450t +2025)
The rate of change of d with respect to t is ...
dd/dt = (500t +450)/(2√(250t² +450t +2025)) = (50t +45)/√(10t² +18t +81)
At t=3, this derivative evaluates to ...
dd/dt = (50·3 +45)/√(90+54+81) = 195/15 = 13
The distance between the boy and the balloon is increasing at the rate of 13 ft per second.
_____
The boy is moving horizontally at 15 ft/s, so his position relative to the spot under the balloon is 15t feet after t seconds.
The balloon starts at 45 feet above the boy and is moving upward at 5 ft/s, so its vertical distance from the spot under the balloon is 45+5t feet after t seconds.
The straight-line distance between the boy and the balloon is found as the hypotenuse of a right triangle with legs 15t and (45+5t). Using the Pythagorean theorem, that distance is ...
d = √((15t)² + (45+5t)²)
Answer: 4xy and 3xy are, 2s and 5s are, but -10 and -10b aren't.
Step-by-step explanation: 4xy and 2xy have the same terms. 2s and 5s have the same terms but -10a and -10b have different variables.
