1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kvv77 [185]
3 years ago
12

2.

Mathematics
1 answer:
abruzzese [7]3 years ago
5 0

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.

__

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

You might be interested in
Why is 1/2 not useful as a benchmark to compare 5/8 and 9/10?
pentagon [3]
1/2 would not be a useful benchmark to compare these 2 fractions because both of them are greater than half. The benchmark fraction 1/2 is most useful when one fraction is less than half and the other more than 1/2. 5/8 is more than 4/8(1/2), and 9/10 is more than 5/10(1/2).
4 0
3 years ago
Read 2 more answers
How do I find the value of y in y=mx+c
Fofino [41]
Plug in your coefficients
3 0
2 years ago
Which of the trigonometric ratios has a value that is undefined?
FinnZ [79.3K]

Answer:

\tan \left(\frac{\pi }{2}\right)

Step-by-step explanation:

We know that  tan(x) is defined as  sin(x)/cos(x):

\tan \left(\frac{\pi }{2}\right),\\\sin \left(\frac{\pi }{2}\right)=1,\\\cos \left(\frac{\pi }{2}\right)=0,\\\\

\tan \left(\frac{\pi }{2}\right) = 1/0 \\

1/0 is undefined as 0 is in the denominator

6 0
2 years ago
Help help help it is simple one​
algol [13]

Answer:

3^{ -x+3}

Step-by-step explanation:

We need to simplify out the given exponential expression . The given expression to us is ,

\rm\implies \dfrac{\dfrac{1}{3}}{3^{x-4}}

We can use the <u>Law of </u><u>Exponents</u> to simplify the given expression . Recall that ,

\rm\implies \red{\dfrac{a^m}{a^n}= a^{m-n}}

Note that , we can write ,

\rm\implies \dfrac{1}{3}= 3^{-1}

Therefore our expression becomes ,

\rm\implies \dfrac{ 3^{-1}}{3^{x-4}}

Simpify using the Law of Exponents ,

\rm\implies 3^{ -1 - ( x - 4 )}

Open the brackets in exponent ,

\rm\implies 3^{ -1 - x +4 }

Simplify to get final expression ,

\rm\implies \boxed{\quad \blue{ 3^{-x+3} \quad}}

5 0
2 years ago
Strawberries are on sale for $1.75 per pound. Regularly, they cost $2.50 per pound.
LenKa [72]

Answer:

I think its 30% im not 100% sure about my answer but i think this is it ok

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • How many years older will you be 1.60 billion seconds from now? (Assume a 365-day year.)
    13·1 answer
  • Can someone who knows geometry help me
    8·1 answer
  • A certain drug is made from only two ingredients: compound A and compound B. There are 6 milliliters of compound A used for ever
    14·1 answer
  • Select the correct location on the image.
    9·1 answer
  • Under certain circumstances, a rumor spreads according to the equation p(t)=1/1+ae−kt where p(t) is the proportion of the popula
    10·1 answer
  • Find 0.45 of 80 A.36 B.3.6 C.0.36 D.0.036
    6·1 answer
  • Are the following ratios equivalent 4:8 and 36:72
    10·2 answers
  • Consider the cylinder with a volume of 132π cm3. A cylinder with volume of 132 pi centimeters cubed. What is the volume of a con
    14·2 answers
  • Irina predicted that she would sell 75 books, but she actually sold 95 books. Which expression would find the percent error?
    13·2 answers
  • In 2019, 15.9% of Broadway actors were acting in their first role on Broadway. Suppose we took a survey of 38 Broadway actors an
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!