The average speed is the ratio between the distance covered, and the time elapsed to cover that distance.
The total distance is the sum of the three distances covered:
Similarly, the total time elapsed is
So, althought you didn't always travelled with the same speed, you globally covered 170km in 1.75 hours. This leads to an average speed of
Answer:
Step-by-step explanation:
Distance of (-3,4) to origin = √((-3)^2+4^2) = 5
sinθ = 4/5
cosθ = -3/5
tanθ = 4/(-3) = -4/3
cscθ = 1/sinθ = 5/4
secθ = 1/cosθ = -5/3
cotθ = 1/tanθ = -3/4
We are given an equation with an unknown variable x. We can find the value of x by dividing both sides by 1.76, as this will leave only x on the right hand side of the equation and its value on the left hand side, as shown below:
Thus solving the given equation, we get x =4.16, rounded of to nearest hundredth.
Answer:
Explanation:
The table that shows the pattern for this question is:
Time (year) Population
0 40
1 62
2 96
3 149
4 231
A growing exponentially pattern may be modeled by a function of the form P(x) = P₀(r)ˣ.
Where P₀ represents the initial population (year = 0), r represents the multiplicative growing rate, and P(x0 represents the population at the year x.
Thus you must find both P₀ and r.
<u>1) P₀ </u>
Using the first term of the sequence (0, 40) you get:
P(0) = 40 = P₀ (r)⁰ = P₀ (1) = P₀
Then, P₀ = 40
<u> 2) r</u>
Take two consecutive terms of the sequence:
- P(1) / P(0) = 40r / 40 = 62/40
You can verify that, for any other two consecutive terms you get the same result: 96/62 ≈ 149/96 ≈ 231/149 ≈ 1.55
<u>3) Model</u>
Thus, your model is P(x) = 40(1.55)ˣ
<u> 4) Population of moose after 12 years</u>
- P(12) = 40 (1.55)¹² ≈ 7,692.019 ≈ 7,692, which is round to the nearest whole number.
The answer to the question is m = 2
