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
dsp73
3 years ago
7

A local lake has a fish population that follows a geometric series with these properties first time equals 48 ratio equals 1/4 d

etermine what does sun would be for the upper limit of this population after you create the sigma notation set up for it
Mathematics
1 answer:
kondaur [170]3 years ago
4 0

Answer:

64.

Step-by-step explanation:

Sigma notation is ∑48(1/4)^(n-1).

Upper limit =   a1 / (1 - r)  where a1 = initial population and r = common ratio.

So it is 48 / (1 - 1/4)

= 48 / 3/4

= 48 * 4/3

= 64.

You might be interested in
What exponential function is the best fit for the data in the table?
gogolik [260]
Answer: fourth option

\frac{1}{4} 4^{x-1}-4

Explanation:

1) the pair x = 3 f(x) = 0, leads you to probe this:

f(3) = 0 = A [4 ^ (3 - 1) ] + C = 0

=> A [4^2] = - C

A[16] = - C

if A = 1/4

16 / 4 = 4 => C = - 4

That leads you to the function f(x) = [1/4] 4 ^( x - 1) - 4

2) Now you verify the images for that function for all the x-values of the table:

x = 2 => f(2) + [1/4] 4 ^ (2 - 1) - 4 = [1/4] 4 - 4 = 4 / 4 - 4 = 1 - 4 = - 3 => check

x = 3 => f(3) = [1/4] 4^ (3 - 1) - 4 = [1/4] 4^2 - 4 = 16 / 4 - 4 = 4 - 4 = 0 => check

x = 4 -> f(4) = [1/4] 4^ (4-1) - 4 = [1/4] 4^(3) - 4 = (4^3) / 4 - 4 = 4^2 - 4 = 16 - 4 = 12 => check.

Therefore, you have proved that the answer is the fourth option.
6 0
3 years ago
Read 2 more answers
The size of a TV is measured by its diagonal. You want to buy a TV that has a 32
ANEK [815]

The width of the TV is 27.9 inches

Step-by-step explanation:

Given,

Diagonal of TV = 32 inch

Height of TV = 15.7 inch

The diagonal makes the TV into a right triangle,

Therefore,

Diagonal = hypotenuse = c = 32 inch

Height = perpendicular = a = 15.7 inch

Width = base = b

Using pythagoras theorem

a^2+b^2=c^2\\(15.7)^2+b^2=(32)^2\\246.49+b^2=1024\\b^2=1024-246.49\\b^2=777.51

Taking square root on both sides

\sqrt{b^2}=\sqrt{777.51}\\b=27.88

Rounding off to nearest tenth

b = 27.9 inches

The width of the TV is 27.9 inches

Keywords: Pythagoras theorem, square root

Learn more about square root at:

  • brainly.com/question/2154850
  • brainly.com/question/2367554

#LearnwithBrainly

7 0
3 years ago
Please help me with 9 I really need it
MissTica

Answer:

605 boys

Step-by-step explanation:

If the ratio of boys to girls is 5:7

and there are 847 girls

we can plug this value into the ratio by doing something like:

5:7

= 5/7

= x/847

Because the ratio has to be the same, we can substitute x for the number of boys and solve by the cross method or whatever you guys call it.

5            x

---   x    ------

7          847

The x in the middle is just to show the direction you are multiplying.

the 5 is multiplied by the 847 and the 7 is multiplied by x.

847 * 5 = 4,235

4,235  divided by 7 is 605

605 is your answer.

The cross method can be used in most situations.

* is used to represent multiplication btw

4 0
3 years ago
In four years, 40% of a radioactive element decays. Find its half-life. Round to one decimal place.
White raven [17]

To find the answer, use k = \frac{2.303 }{ 4} (log\frac {100 }{ 40}) , and then use the equation t=\frac{.693}{k} To find it's half life.

5 0
3 years ago
Read 2 more answers
Please help lol thankss
Mars2501 [29]

Answer:

what's your question though?

8 0
3 years ago
Read 2 more answers
Other questions:
  • Please help, operation with rational numbers XXIV
    14·1 answer
  • What are the approximate values of the non-integral roots of the polynomial equation?
    11·2 answers
  • Helllllpp me please.. Thanks
    10·1 answer
  • You have a sample of participants and collected data on their monthly income; they reported the exact amount of income that they
    14·1 answer
  • Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!
    14·1 answer
  • Six aides work 6-1/2 Hours at $4.00 an hour,what are the total wages
    13·1 answer
  • Suppose Caryl could spend up to $30, what is another possible combinations of cupcakes and brownies that she could buy? How coul
    11·1 answer
  • Which postulate can be used to prove that and are congruent?
    5·2 answers
  • 4tantheta/12-tan^2=1
    14·1 answer
  • True or false: When Solving Inequalities, IF you divide (or multiply) both
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!