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
Roman55 [17]
3 years ago
9

The number of visitors to a certain Web site triples every month. The number of visitors is modeled by the expression 8100 times

•3m​, where m is the number of months after the number of visitors was measured. Evaluate the expression for m=−33. What does the value of the expression represent in the​ situation?
Mathematics
1 answer:
olasank [31]3 years ago
6 0
Suppose we have had S visitors in n months since EIS (Entry Into Service) of the site, then : 
<span>S(n) = 8100 + 8100 * 3 + 8100 * 3^2 + 8100 * 3^3 + ... +8100 * 3^n </span>
<span>S(n) = 8100 * [ 1 + 3 + 3^2 + 3^3 + ... + 3^n ] </span>
<span>and we know that : </span>
<span>1 + 3 + 3^2 + 3^3 + ... + 3^n = (3^(n+1) - 1)/(3 - 1) </span>
<span>= (3^(n+1) - 1)/2 </span>
<span>therefore </span>
<span>S(n) = 8100 * (3^(n+1) - 1)/2 </span>
<span>finally : </span>
<span>S(n) = 4050 * (3^(n+1) - 1) </span>
<span>and this allows you to obtain the month n, if you know S(n) : </span>
<span>3^(n+1) = S(n) /4050 + 1 </span>
<span>therefore : </span>

<span>n = ln[S(n) /4050 + 1] /ln3 - 1 </span>

<span>hope it' ll help !!</span>
You might be interested in
If p(x) = x2 - 1 and 4(x) = 5(x-1), which expression is equivalent to (p - 9)(x)?
bogdanovich [222]

Answer:

x^2 - 10 = (p - 9)(x)

Step-by-step explanation:

Please indicate exponentiation with the symbol " ^ ":  p(x) = x^2 - 1.

To obtain (p - 9), start with p(x) = x^2 - 1 and subtract 9:

(p - 9)(x) = x^2 - 1 - 9 = x^2 - 10 = (p - 9)(x)

7 0
3 years ago
1. Is the average change in population is the same now as it was 50 years ago? Explain your answer.
katrin [286]

No, the average change in population is not the same as it was 50 years ago.

Reason in Support of the Answer:

In many important ways, the demographic future of the United States and the rest of the world is substantially different from the recent past. The world's average population approximately tripled between 1950 and 2010, and the U.S. population nearly doubled.

However, it is anticipated that between 2010 and 2050, both globally and in the United States, average population growth will be substantially slower and will disproportionately favor the oldest age groups. Hence it is seen that the average change in population is never constant. It depends on the demographic trends and conditions, whether the average change in population will be larger or comparatively trivial in the future. And, similarly, it can be said that the average change in population is not the same as it was 50 years ago.

Learn more about average here:

brainly.com/question/2426692

#SPJ1

3 0
2 years ago
If this rectangle is dilated using a scale factor of 1/2 through point B, what is the result?
NARA [144]

Answer:

answer is  b on edge.

it says that it is dilated 1/2 which means it should be smaller.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
6.01 Properties of Exponents
Dmitry_Shevchenko [17]

Answer:

Rational exponents are not defined when the denominator of the exponent in lowest terms is even and the base is  negative.

Step-by-step explanation:

Considering the expression

X^{\frac{a}{b}}=\sqrt[b]{X^a};\:\:\:\:\:\:\:\:\:b\ne 0

Here:

  • b = index
  • a = exponent
  • X = radicand
  • √ = radical symbol

A rational exponent - an exponent that is a fraction -  is the kind of way we may write a root.

If the denominator is an even number, it means we are talking about an even root like square root, 4th root, 6th root etc.

For example, think about squaring a number

-4 × -4 = 16, 4 × 4 = 16

It means any number when it get multiplied by itself an even number of times, it would always yield a positive number.

It is not possible to take the square root of a negative number as we can not yield a negative number when we square the number. In other words, there is no way we can multiply the same negative number twice and get a negative number. This is why \sqrt{-1} is undefined.

Therefore, rational exponents are not defined when the denominator of the exponent in lowest terms is even and the base is  negative.

5 0
4 years ago
What problem do Tom and Elliott face? Iready
Illusion [34]
Do you face a very big tragedy I feel just so bad for them you know they had a cat named stinky because it smelled really bad it died from pollution. I’m smart unlike
7 0
3 years ago
Other questions:
  • Please help This is due today help please ASAP
    12·2 answers
  • Just 6-8 pls n thx.......
    5·1 answer
  • A bag contains white marbles and yellow marbles, 46 in total. The number of white marbles is 1 more than 4 times the number of y
    13·1 answer
  • Mr. Alberto has 48 students to divide into teams of 8. The number of teams will be divided equally for three high school student
    10·2 answers
  • Brandi earned $7 babysitting and $12 cleaning
    5·2 answers
  • Which expressions are equivalent to 4(x+3)-10+6x
    5·1 answer
  • Sofia is making quarter circle felt pieces for a sewing project. If the diameter of one full circle is 4.6 inches, what is the a
    12·1 answer
  • The relationship (3,2)(2,5) (8,5) (3,6) is a function<br> A True<br> B) False
    7·1 answer
  • Given the plane DGF in the diagram, which points are collinear?
    12·2 answers
  • A healthcare company surveys customers to determine whether each customer
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!