Answer:
the rate from the plane to the radar station increasing 3 minutes later is 19.81 km/min
Step-by-step explanation:
A plane flying with a constant speed of 14 km/min passes over a ground radar station at an altitude of 4 km and climbs at an angle of 45 degrees. At what rate is the distance from the plane to the radar station increasing 3 minutes later?
speed (Δs₁)= change in distance(Δd₁) /(Δt₁)change in time
mathematically,
= Δs₁
= 14 km/min = 
and will are to find the speed after passes the radar
=Δs₂ km/min = 
to find d₁ and d₂ with respect to angle 45 degree at 4km
sin 45 = opp/hyp = 4/d₁
d₁ = 4/sin45 = 5.66km
tan 45 == opp/adj = 4/d₂
d₂ =4/tan45 = 4km
for three minute increment,
=3 x d₁ x Δs₁ = 3 x d₂ Δs₂
= 3x5.66x14 = 3x 4 xΔs₂
= 237.72 = 12Δs₂
=Δs₂ = 19.81km/min
Answer:
rate of change: $0.35; initial value: $2.50; Equation: y= 0.35x + 2.50
Step-by-step explanation:
The rate of change is $0.35 because it's the one to change the total cost of the ice cream. If you get 3 toppings, you'll end up with 1.05 more dollars than if you had 0 toppings. And because of that, the initial value would also be $2.50, that's the minimum price you'll have to pay if you do want a sundae.
The equation is just restating all that, you start with the inital value b=$2.50, and the price will go up by 0.35 for every topping you add to the sundae.
Hope this helped :)
The equation which represent total amount of income he earns from selling book is, 
Since, Selling price of one novel is n dollars
So, selling price of b books is, 
Since, he receives 9% commission on each book sale.
So, total commission he receives on selling of b books is,
And also he received a bonus of $50,000 to sign the contract to write the book,
So, total amount of income he earns is represented by A,
Learn more:
brainly.com/question/7852218
Answer:
1) -5b + 16
2) -5a
3) 7a - 12
4) 7 + 4x
5) x + 6
6) 7a + 3
7) 11x + 2
8) 9x - 8
9) -13n
10) 18b -5
Step-by-step explanation:
Combine like terms for a simplified expression.
(Example: x + 2x = 3x and 3 - 8 = -5)
