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
0.25 is the most likely answer
Answer:
y = 250x + 1000
Step-by-step explanation:
we know, it is a linear function.
so, y = ax + c
we have multiple data points all on the line.
(4,2000)
2000 = a×4 + c, => c = 2000 - a×4
(7,2750)
2750 = a×7 + c
=> 2750 = a×7 + 2000 - a×4 = a×3 + 2000
=> 750 = a×3
=> a = 250
=> c = 2000 - 250×4 = 2000-1000 = 1000
Hey there!
The answer to your question is the third option: 2n + 7 = 5; n = -1
"twice a number increased by 7" would represent 2n + 7, and if it's equal to 5, it would be 2n + 7 = 5. That rules out the last option, and the second option. Now, we have to solve for "n":
2n + 7 = 5 Step 1: Write the equation.
2n = -2 Step 2: Subtract 7 from both sides.
n = -1 Step 3: Divide both sides by 2.
Therefore, "n" is equal to -1, and the third option would be correct.
Hope it helps! Have a great day, and good luck on your assignment!
An exponential function can either represent population growth or population decay
<h3>How to model the population</h3>
The question is incomplete, as the resources to model the population of the Western Lowland Gorillas are not given.
However, the following is a general guide to solve the question.
An exponential function is represented as:
Where:
- (a) represent the initial value i.e. the initial population of the Western Lowland Gorillas
- (r) represents the rate at which the population increases or decreases.
- (x) represents the number of years since 2022
- (y) represents the population in x years
Given that the population of the Western Lowland Gorillas decreases, then the rate of the function would be 1 -r (i.e. an exponential decay)
Take for instance:
By comparison.
a = 2000 and 1 - r = 0.98
The above function can be used to model the population of the Western Lowland Gorillas
Read more about exponential functions at:
brainly.com/question/11464095
