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)
3.48 x 10^ -5
move the decimal point back to the first number that isn't zero, if the decimal is moved right 5 spaces, it will be 10^ -5 , if a number has a zero, such as 0.000104, it would be 1.04 x 10^ -4.
it would take him 32 minutes. You could use divisoin and multiplecation to figure it out
7, 12, 10, 18, 13, 23, 29, 15, 16, 18, 15, 12, 20<br>
find the outlier. explain your answer.
Naddik [55]
Answer:
29
Step-by-step explanation:
the rest of the numbers are closer to each other but if you plot these you see that 29 doesnt belong
Answer: Sir/Ma´am/Person, it doesnt show.
Step-by-step explanation: Im on an computer and it wont show, ive tried putting it in different tabs..nothing seems to be functional. Maybe its my computer? If it isnt, heres a heads up: it could be a unrecognized file if thats what it told you somehow before you did that? But thats all i wanted to type. Enjoy your day.
