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
german
1 year ago
10

The current population of a threatened animal species is 1.6 million, but it is declining with a half-life of 20 years. How many

animals will be left in 30 years? in 65 years?
Mathematics
1 answer:
GaryK [48]1 year ago
8 0

It is given that the half-life is 20 years and the current population is 1.6 million.

It is required to find the population in 30 and 65 years, respectively.

Recall the Exponential Decay Half-Life Formula:

N=N_0\left(\frac{1}{2}\right)^{\frac{t}{h}}

Where N₀ is the current population, t is the time in years, and h is the half-life.

(a) Substitute N₀=1.6, h=20, and t=30 into the formula:

N=1.6\left(\frac{1}{2}\right)^{\frac{30}{20}}\approx0.6\text{ million}=600,000

About 600,000 animals will be left in 30 years.

(b) Substitute N₀=1.6, h=20, and t=65 into the formula:

N=1.6\left(\frac{1}{2}\right)^{\frac{30}{20}}\approx0.6\text{ million}=600,000

You might be interested in
Multiply. Write your answer as a fraction in simplest form 9/10 x 2/3
Oduvanchick [21]

Answer:

3/5

Step-by-step explanation:

9/10 and 2/3 can cross cancel

3 goes into 9, 3 times

2 goes into 10, 5 times

they both go into themselves once

our new fractions are 3/5 and 1/1 which equals 3/5

8 0
3 years ago
Read 2 more answers
Question 7 of 10 What is the slope of the line shown below? A. 2 B.-2 C.4 D.-4​
Ira Lisetskai [31]

Answer:

C. 4

Step-by-step explanation:

Use the slope formula y2-y1 / x2-x1

6+2/3-1

8/2

4

So, the answer is C. 4.

4 0
3 years ago
Read 2 more answers
Use the unit circle to find the value of each trigonometric function at the angle indicated
Elan Coil [88]
0
-1
-inf
1
0
0

repectively
8 0
3 years ago
Read 2 more answers
(1+tanx)/(sinx+cosx)=secx
jek_recluse [69]

\frac{1+\tan x}{\sin x+\cos x}=\sec x is proved

<h3><u>Solution:</u></h3>

Given that,

\frac{1+\tan x}{\sin x+\cos x}=\sec x  ------- (1)

First we will simplify the LHS and then compare it with RHS

\text { L. H.S }=\frac{1+\tan x}{\sin x+\cos x}  ------ (2)

\text {We know that } \tan x=\frac{\sin x}{\cos x}

Substitute this in eqn (2)

=\frac{1+\frac{\sin x}{\cos x}}{\sin x+\cos x}

On simplification we get,

=\frac{\frac{\sin x+\cos x}{\cos x}}{\sin x+\cos x}

=\frac{\sin x+\cos x}{\cos x} \times \frac{1}{\sin x+\cos x}

Cancelling the common terms (sinx + cosx)

=\frac{1}{c o s x}

We know secant is inverse of cosine

=\sec x=R . H . S

Thus L.H.S = R.H.S

\frac{1+\tan x}{\sin x+\cos x}=\sec x

Hence proved

5 0
3 years ago
The graph shows the printing rate of Printer A. Printer B can print at a rate of 25 pages per minute. Complete this sentence: Th
frez [133]

Answer:

a equal to c 25 b greater than

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Help please!!!!!!!!!!!!!!!
    13·2 answers
  • Z =-19+3.14i what are the real and imaginary parts of z
    9·1 answer
  • A $4,000.00 principal earns 5% interest, compounded annually. After 4 years, what is the balance in the account?
    14·2 answers
  • How do you write 89,637,421 in word and expanded form
    10·2 answers
  • A car dealership decreased the price of a certain car by 4%. The original price was 33,200. Write new in terms of original price
    11·1 answer
  • A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i
    14·1 answer
  • Sanjeet bought a new car at the dealership for $28,000. It is estimated that the value of the new car will decrease 8% each year
    9·2 answers
  • What is the answerto c and d
    13·1 answer
  • Combine Like terms 18s + 30sk
    11·1 answer
  • For a school fundraiser, Mai will make school spirit bracelets. She will order bead wiring and alphabet beads to create the brac
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!