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lukranit [14]
3 years ago
12

Caswell started studying how the number of branches on his tree grows over time. The relationship between the elapsed time ttt,

in years, since Caswell started studying the tree, and the number of its branches, N(t)N(t)N, left parenthesis, t, right parenthesis, is modeled by the following function: N(t)=15⋅(1.64)t3.4 Complete the following sentence about the rate of change in the number of branches.
Mathematics
2 answers:
ipn [44]3 years ago
8 0

Answer:

t =log(20) / 0.3 = 10*log(20) / log(1,000) - years - when the tree will have 100 branches.

Step-by-step explanation:

100 = 5 * 10^(0.3t), solve for t

Divide both sides by 5:

20 =10^(0.3t)

Take the log of both sides:

0.3t =log(20)

Divide both sides by 0.3:

Multiply the RHS by 10 / 10

t =log(20) / 0.3 = 10*log(20) / log(1,000) - years - when the tree will have 100 branches.

Sidana [21]3 years ago
4 0

Answer:

Step-by-step explanation:

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mezya [45]

Answer:

33.75

Step-by-step explanation:

45x0.75=33.75

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3 years ago
the number of telephone lines in each country in central america and the caribbean is shown above in a dot plot. the number of t
photoshop1234 [79]

The median number of telephone line in thousands is 0

The number of telephone lines in each country = 250000

From the given dot plot

The data set will be

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 250, 250, 250, 250, 250, 500, 750, 750, 1000, 1000, 1250, 1750

The median of the data set is the middle term of the ordered data set. The order of the data set maybe ascending or descending order

There are 28 terms in the data set the middle terms will be 14th and 15th

Both 4th and 15 terms are 0

Therefore, the median is 0

Learn more about median here

brainly.com/question/28060453

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8 0
1 year ago
Choose which line represents the line of the best fit
erastova [34]

Answer:

Step-by-step explanation:

I would say B

7 0
3 years ago
Read 2 more answers
What’s the answer to this question
laiz [17]

Answer:

B

Step-by-step explanation:

3 rectangles are 3 x 7 x 2 = 42

2 triangles are 2 x 1/2 x 2 x \sqrt{2^{2} - 1^{2}   } = 2\sqrt{3}

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4 0
3 years ago
An online shopping club has 10,000 members when it charges $7 per month for membership. For each $1 monthly
Sonja [21]

Answer:

The function that can be used in the online shopping club about its monthly revenue is:

R = -400x^{2} +7200x+70000

Step-by-step explanation:

First, we're gonna take into account the different values we have in the exercise:

  1. 10,000 members
  2. $7 per month for membership
  3. Loses of 400 members by each $1 monthly increase

How the variable x represents the price increase, we can do the formula below:

  • (10000 - 400x) * (7+x)

In this formula, we represent in the first part that by each 1 in the variable x, the total of members will be reduced in 400, in the second part, we mention that at the same time, the membership fee will be increased in the same value of x. Now we must simplify this function:

  • (10000 - 400x) * (7+x)

We operate the values:

  • 70000+10000x-2800x-400x^{2}

Solve we can:

  • 70000+7200x-400x^{2}

And organize:

  • -400x^{2} +7200x+70000

At the end, how R represents the monthly revenue received by the club, we use that variable for our formula:

  • R=-400x^{2} +7200x+70000

4 0
3 years ago
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