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
AfilCa [17]
2 years ago
15

Can you help me with this please?

Mathematics
1 answer:
spayn [35]2 years ago
7 0

The half-life of the given exponential function is of 346.57 years.

<h3>What is the half-life of an exponential function?</h3>

It is the value of t when A(t) = 0.5A(0).

In this problem, the equation is:

A(t) = A(0)e^{-0.002t}.

In which t is measured in years.

Hence the half-life is found as follows:

0.5A(0) = A(0)e^{-0.002t}

e^{-0.002t} = 0.5

\ln{e^{-0.002t}} = \ln{0.5}

0.002t = -\ln{0.5}

t = -\frac{\ln{0.5}}{0.002}

t = 346.57 years.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

You might be interested in
Tina is planning to fence in an area for her dog. She wants to create a rectangular area of 1,600 square feet for her pet and ca
castortr0y [4]

The dimensions of the rectangular area of Tina's fence is 40 ft by 40 ft

<h3 />

<h3>Area of a rectangle:</h3>
  • area = lw

where

l = length

w = width

She wants to create a rectangular area of 1,600 square feet for her pet . Therefore,

  • area = 1600 ft²

lw = 1600

Therefore,

perimeter = 160 ft

Then,

perimeter of rectangle = 2(l + w)

160 = 2(l + w)

l + w = 80

Let's combine the equations

lw = 1600

l + w = 80

l = 80 - w

Therefore,

w(80 - w) = 1600

80w - w² = 1600

Therefore,

w² - 80w + 1600 = 0

w² - 40w - 40w + 1600 = 0

w(w - 40) - 40(w - 40) = 0

(w - 40)(w - 40) = 0

w = 40 or 40

Therefore, the dimensions can be calculated as follows:

lw = 1600

40l = 1600

l = 1600 / 40

l = 40 ft

Therefore, the dimensions are 40ft by 40 ft

learn more on algebraic model here: brainly.com/question/4151078

4 0
2 years ago
A chef knows that ground beef used for hamburger is safe to eat once it reaches 160 degrees Fahrenheit. For optimized taste and
Lelu [443]

Answer:

The first option is correct.

Step-by-step explanation:

We have been told that a chef knows that ground beef used for hamburger is safe to eat once it reaches 160 degrees Fahrenheit. For optimized taste and safety, he will not allow a hamburger cooked to a temperature under 160 degrees or over 170 degrees to be served.

Let us see our graphs one by one.

Upon looking at first graph we can see it shows that hamburger should be cooked under 160 degrees and over 170 degrees. It is the case which chef will not allow. So this is our graph that represents the conditions under which the chef will not allow the hamburger to be served.

Second graph represents that hamburger should be cooked at and under 160 degrees and at and over 170 degrees. This can't be our choice as it includes 160 and 170 degrees.

Third graph represents the temperature at which chef will allow hamburgers to be served that is temperature between 160 to 170 degrees Fahrenheit including 160 and 170 degrees Fahrenheit. So this can't be our choice either.

Fourth graph represents the temperature between 160 to 170 degrees Fahrenheit excluding 160 and 170 degrees Fahrenheit.

Therefore, option 1 is the correct choice.

3 0
3 years ago
Read 2 more answers
Construa a matriz B=(bij)2×4 definida por <br>Bij= 1, se i=j <br> i+j, se i≠j​
Alexandra [31]

Answer:

\left[\begin{array}{cccc}1&3&4&5\&3&1&5&6\end{array}\right]

The only ones are on the "diagonal", where i = j. Else the position is simply the sum.

4 0
2 years ago
Please answer it now in two minutes
Nikitich [7]

Answer:

3√6

Step-by-step explanation:

tan60=opp/adj

opp(d)=tan60*3√2=√3*3√2=3√6

7 0
3 years ago
Please help me get the right answer
spin [16.1K]

Answer:

A

Step-by-step explanation:

When multiplying numbers with exponents, the exponents add together.  This means that the correct answer is letter A.

6 0
3 years ago
Other questions:
  • The dimensions of a rectangular garden were 4m by 5m. each dimension was increased b the same amount. the garden then had an are
    12·1 answer
  • Please Help! Will mark brainliest!
    8·2 answers
  • ken went to a county fair and spent $5 admission, $6.50 on games, and $7.21 on food if he had $30 before he went to the fair, ho
    6·2 answers
  • a parking garage charges $1.12 for the first hour and 0.50 for each additional hour. what is the maximum length of time Tom can
    14·1 answer
  • What number should be added to the expression x2 + 12x to change it into a perfect square trinomial? (a.6 ( b.18 (c.12 (d.36
    10·1 answer
  • The measures of a triangle in the extended ratio 2:3:4.What is the measure of the smallest angle?
    7·2 answers
  • Help Which is the answer<br><br>102°<br><br>152°<br><br>62°<br><br>28°​
    5·1 answer
  • PLS I NEED HELP!!!! If the base of a rectangle is 9 cm and the area is 112.3 cm2, what is the height of the rectangle? Round you
    15·1 answer
  • Rowan runs from HSCJ to Lexington Ave, which is 500m away. He runs at
    14·1 answer
  • Help me with this please ✍​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!