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2 years ago

Express ln 32 - ln 8 as a single natural logarithm

2 answers:

8 0

$\bf \textit{Logarithm of rationals}
\\\\
log_a\left( \frac{x}{y}\right)\implies log_a(x)-log_a(y)\\\\
-------------------------------\\\\
ln(32)-ln(8)\implies ln\left( \frac{32}{8} \right)\implies ln(4)$

podryga [215]2 years ago

8 0

Answer:

its ln 4, A

Step-by-step explanation:

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How do you solve for LMN? I keep getting 15

Marina86 [1]

Answer:

60°

Step-by-step explanation:

90° = 6x

15° = x

60° = 4x

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2 years ago

Read 2 more answers

5 is a prime number of 2475 what are the other two numbers

ArbitrLikvidat [17]

$2475=3^2\cdot5^2\cdot11$

The two other prime factors are 3 and 11

6 0

2 years ago

A population of 1200 rabbits increases by 2.5% each year. At the end of 5 years, there will be approximately 1,358 rabbits in th

lubasha [3.4K]

Answer: y= 1200 (1.025)^t

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:

A = P (1 + r) t

Where:

p = original population

r = growing rate (decimal form)

t= years

A = population after t years

Replacing with the values given:

1200= 1200 (1+ 2.5/100)^5

1200= 1200 (1+ 0.025)^5

1200= 1200 (1.025)^5

For the number of rabbits, y, at the end of t years

y= 1200 (1.025)^t

Feel free to ask for more if needed or if you did not understand something.

4 0

3 years ago

Consider two circular swimming pools. Pool A has a radius of 48 feet, and Pool B has a diameter of 29.46 meters. Complete the de

Ber [7]

Answer: pool B has a greater circumference.

Step-by-step explanation:

The formula for determining the circumference if a circle is expressed as

Circumference = 2πr

Where

r represents the radius of the circle.

π is a constant whose value is 3.14

Pool A has a radius of 48 feet.

1 foot ≈ 0.305 meters

48 feet = 48 × 0.305 = 14.64 meters

The circumference of pool A is

2 × 3.14 × 14.64 = 91.94 meters

Pool B has a diameter of 29.46 meters. Radius = diameter/2

Radius of pool B = 29.46/2 = 14.73 meters

The circumference of pool B is

2 × 3.14 × 14.73 = 92.5 meters

Therefore, pool B has a greater circumference.

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3 years ago

Marco's mom has measured his height in centimeters every few months between the ages of 4.5 and 7.5. The recorded values are bes

Contact [7]

Answer:

Extrapolation

Step-by-step explanation:

Extrapolation is a type of estimation, beyond the original observation range. In this case, the observation range is from 4.5 to 7.5 years. Marco's mom is extrapolating the regression line to estimate Marco's height at 14 years old. This sort of estimation assumes that Marco's height will continue changing at the same rate until he is 14 years old.

7 0

2 years ago