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lukranit [14]
2 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]2 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]2 years ago
4 0

Answer:

Step-by-step explanation:

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The pilot in a helicopter tossed a life float down to a swimmer in the water. The height, h, of the float after time t seconds i
MissTica

Answer:

1.95secs

Step-by-step explanation:

Given the height of the float expressed as h(t) = -16t2 - 3t + 55.

The floats reach the swimmer at h(t) = 0

Substitute

0 = -16t^2 - 3t + 55.

16t^2 + 3t - 55 = 0

Using the general formula;

t = -3±√3²-4(16)(-55)/2(16)

t = 3±√9+3520/32

t = 3±√3529/32

t = 3+59.41/32

t = 62.41/32

t = 1.95

Hence it will take 1.95secs

4 0
1 year ago
The phone company charges a flat rate of $25 per month. In addition they charge $0.05 for each minute of service Which equation
PilotLPTM [1.2K]

Answer:

c= 25+0.05m

Step-by-step explanation:

Given that,

The phone company charges a flat rate of $25 per month. In addition they charge $0.05 for each minute of service.

$25 is fixed here and charge $0.05 for each minute of service.

We need to find the equation that can be used to find the monthly charge based upon the number of minutes (m) of service each month.

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5 0
2 years ago
Jim is building a rectangular deck and wants the length to be 1 ft greater than the width. what will be the dimensions of the de
Travka [436]
Let x = width
x+1 is then the length

2x+2(x+1)=66
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3 0
2 years ago
The height of a cone-shaped statue is 9 ft, and the diameter is 12 ft.
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kifflom [539]
Answer: B
Look at the line where it says 935 54
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However, the line after the $30 says $900.59, which is incorrect.

Hope this helps!
6 0
2 years ago
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