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2 years ago

11

Write the logarithmic expression as a single logarithm with coefficient , and simplify as much as possible. Assume that all vari

able expressions represent positive real numbers.
1/2ln(b^2+1)-1/2ln(b+1)

1 answer:

Allushta [10]2 years ago

4 0

Answer:

hope you can understand

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The population of rabbits on an island is growing exponentially. In the year 1990, the population of rabbits was 1200, and by 19

kobusy [5.1K]

Answer:

2023 rabbits

Step-by-step explanation:

The exponential model consists of the following expression:

$y = A \cdot r^{t}$

Where:

$A$ - Initial population.

$r$ - Increase rate.

$t$ - Time

$y$ - Current population.

The initial population and increase rate are, respectively:

$1200 = A \cdot r^{0}$

$A = 1200$

$1700 = 1200 \cdot r^{4}$

$r^{4} = \frac{1700}{1200}$

$r^{4} = \frac{17}{12}$

$r = \sqrt[4]{\frac{17}{12} }$

$r \approx 1.091$

The exponential model that predicts the population of rabbits is:

$y = 1200\cdot 1.091^{t}$

Lastly, the expected population for the year 1996 is:

$y = 1200\cdot 1.091^{6}$

$y\approx 2023.624\,rabbits$

5 0

3 years ago

What is the trinomial factor of 20t^2-13tv-15v^2

lapo4ka [179]

20t² - 13tv - 15v²
20t² - 25tv + 12tv - 15v²
(5t + 3v)(4t - 5v)

8 0

3 years ago

Mashcka [7]

Answer: Sometimes

Step-by-step explanation: Through every 2 points is a line, so it would be sometimes as a line only has a minimum of 2 points.

5 0

3 years ago

A store sells rope by the meter. The equation p=0.8L represents the price p(in dollars) of a piece of nylon rope that is L meter

Margaret [11]

Answer:

1. $0.80 or 80 cents

2. 1.25 meters

Step-by-step explanation:

The equation p=0.8L represents the price p (in dollars) of a piece of nylon rope that is L meters long.

1. To find how much the nylon costs per meter, take L = 1 (this means you are calculating the price of a piece of nylon rope that is 1 meter long):

$L=1,\\ \\p=\$0.8\cdot 1=\$0.80$

2. To find how long a piece of nylon rope that costs $1.00 is, substitute into the equation p = 1:

$p=1,\\ \\1=0.8L\\ \\L=\dfrac{1}{0.8}=\dfrac{10}{8}=\dfrac{5}{4}=1.25\ meters$

5 0

3 years ago

Solve:<br> 4 - 10x >-21<br> and aranh the

Luden [163]

Answer:

$x < \frac{5}{2}$

Step-by-step explanation:

$4 - 10x > -21$

$-10x > -25\\\\x > \frac{-25}{-10} \\\\x > \frac{5}{2}$

8 0

3 years ago