Answer:
f(g(x)) = 15x³ - 5
Step-by-step explanation:
how confusingly described.
let me try and summarize what I understood :
f(x) = 3x² - 5
money earned when baking x cookies.
g(x) = sqrt(5x³)
the amount of cookies baked in x hours.
f(g(x)) now calculates how much money she earns when baking for x hours.
it is basically very simple : instead of f(x) we have f(g(x)), so g(x) is used as argument/variable in f instead of just plain x.
therefore,
f(g(x)) = 3×(sqrt(5x³))² - 5
with x now representing the baking hours, but f(...) calculating the overall money earned, by implicitly (!) calculating the amount of cookies baked in that time and taking that result automatically to calculate the earned money.
let's simplify this a little bit more.
f(g(x)) = 3×(sqrt(5x³))² - 5 = 3×(5x³) - 5 = 15x³ - 5
Answer:
zero
Step-by-step explanation:
The distance of a vehicle travel is 150 km, at a moving rate of 60 km/h for 150 minutes.
Step-by-step explanation:
The given is,
Moving rate, r = 60 km/h
Time, t = 150 minutes
Step:1
We need to find the distance traveled by the vehicle,
From given the formula is
D = rt
Where,
D = Distance in Km
r = Moving rate in Km/h
t = Time in hours
Step:2
We need to convert the time minutes to hours
t =
hours
t = 2.5 hours
Step:3
Distance traveled by the vehicle is,
D = 60 × 2.5
= 150
D = 150 Km
Result:
The distance traveled by the vehicle is 150 Km at a moving rate of 60 km/h for 150 minutes.
I don’t see no expressions
Area of the shaded part is given by:
A=(area of the sector)-(area of triangle)
A=(θ/360πr²)-(1/2sinθab)
A=(120/360*π*6²)-(0.5*6²*sin120)
A=12π-15.59
A=22.1 cm²
Answer: A=22.1 cm²