The function that models the growth of the population is P = 276.6e^0.009t
<h3>What is the function?</h3>
We can see that the table shows the increase in population over time. We know that population growth is an example of exponential function. We have to apply the formula of exponential function.
Let us now obtain the function that could show the population at each time;
Given that;
Po = initial population
P = population at time t
r = rate of population growth
P = Poe^rt
P = 305.9
r = ?
t = 10
Po = 276.6
Substituting values;
305.9 = 276.6e^10r
305.9/276.6 = e^10r
1.1 = e^10r
ln 1.1 = 10r
r = ln1.1/10
r = 0.009
Thus the function is;
P = 276.6e^0.009t
Learn more about population growth:brainly.com/question/18415071
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Answer:
Step-by-step explanation:
From the picture attached,
∠4 = 45°, ∠5 = 135° and ∠10 = ∠11
Part A
∠1 = ∠4 = 45° [Vertically opposite angles]
∠1 + ∠3 = 180° [Linear pair of angles]
∠3 = 180° - ∠1
= 180° - 45°
= 135°
∠2 = ∠3 = 135° [Vertically opposite angles]
∠8 = ∠5 = 135° [Vertically opposite angles]
∠5 + ∠6 = 180° [Linear pair of angles]
∠6 = 180° - 135°
∠6 = 45°
∠7 = ∠6 = 45° [Vertically opposite angles]
By triangle sum theorem,
m∠4 + m∠7 + m∠10 = 180°
45° + 45° + m∠10 = 180°
m∠10 = 180° - 90°
m∠10 = 90°
m∠10 = m∠12 = 90° [Vertically opposite angles]
m∠10 = m∠11 = 90° [Given]
Part B
1). ∠1 ≅ ∠4 [Vertically opposite angles]
2). ∠7 + ∠5 = 180° [Linear pair]
3). ∠9 + ∠10 = 180° [Linear pair]
If you know what the equation of the line IS(y=mx+b), then you can:
Substitute the x coordinate, slope and y-intercept into the line, then solve for y.
Hope this helped!
Answer:
( -2.5 , 1 )
Step-by-step explanation:
(-2.5 ,1 ) hope this helps u
Answer:
P = 55 feet
A = 237 sq feet
Step-by-step explanation:
P = 2(4) + (3.14 x 15)
A = (4 x 15) + (3.14 x 7.5²)
