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.
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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)
The height of the plant is given by the equation h = 0.5d + 4. Rewrite this as a function rule where f(x) is the height, in centimeters, and x is the time, in days. Use the rule to complete the table, and then use the drawing tools to create the graph representing this relationship.
Answer:
see below
Step-by-step explanation:
Answer:
100% guarantee its D for A P E X :)
Step-by-step explanation:
Answer:
3/4 of a 6-ounce glass will be drunk by her in one hour.
Step-by-step explanation:
Given time = 2/3 of hour
= 2/3 (60) As hour = 60 mins
= 120/3
= 40 mins
Given quantity of water = 1/2 of 6-ounce
= 3 ounce
So,
In 40 mins, water intake is 3 ounce
In 1 min, water intake is 3/40
In 60 mins, water in take is (3/40)*60 = 4.5 ounce
Quantity of water intake in 60 mins:
4.5 ounce or 3/4 of 6-ounce glass
I hope it will help you.
