Answer:
i wanna say its the first one if its wrong im very sorry
Step-by-step explanation:
Answer:
a) 30 kangaroos in 2030
b) decreasing 8% per year
c) large t results in fractional kangaroos: P(100) ≈ 1/55 kangaroo
Step-by-step explanation:
We assume your equation is supposed to be ...
P(t) = 76(0.92^t)
__
a) P(10) = 76(0.92^10) = 76(0.4344) = 30.01 ≈ 30
In the year 2030, the population of kangaroos in the province is modeled to be 30.
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b) The population is decreasing. The base 0.92 of the exponent t is the cause. The population is changing by 0.92 -1 = -0.08 = -8% each year.
The population is decreasing by 8% each year.
__
c) The model loses its value once the population drops below 1/2 kangaroo. For large values of t, it predicts only fractional kangaroos, hence is not realistic.
P(100) = 75(0.92^100) = 76(0.0002392)
P(100) ≈ 0.0182, about 1/55th of a kangaroo
Answer:
Answer image is attached.
Step-by-step explanation:
Given rational expressions:

And the rewritten forms:

We have to match the rewritten terms with the given expressions.
Let us consider the rewritten terms and let us solve them one by one by taking LCM.

So, correct option is 3.

So, correct option is 1.

So, correct option is 2.

So, correct option is 4.
The answer is also attached in the answer area.
Answer:
(b) 310 mi, 12.76km/liter
Step-by-step explanation:
We are told that Toronto is 500 km north on Highways. Since 1 km = 0.62 mi, then Toronto is: 500 × 0.62 = 310 miles
Aanya’s car averages 30 mi/gallon.
We are told that 1 mi = 1.61 km
Thus, her average is now;
30 × 1.61 km/gallon = 48.3 km/gallon
We are told that 1 qt = 0.946 liters
But also, 0.25 gallon = 1 qt
Thus;
0.25 gallon = 0.946 litres
Thus, 1 gallon = 0.946/0.25 litres = 3.784 litres
Thus, 48.3 km/gallon to km/litres = 48.3/3.784 = 12.76 km/litres
Answer is 310 miles and 12.76 km/litres
Answer:
D.
Step-by-step explanation:
The last option, 1.2, cannot represent the probability of an event happening since it is more than 100% (120%). And event cannot have a higher probability of happening than "happening".
A. 0.33 is a valid response, since it represents 33%.
B. 56% is also a valid response.
C. 7/8 is also a valid response since it represents 0,875 or 87,5%.
Hope it helped,
BiologiaMagister