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Katyanochek1 [597]

2 years ago

7

How do you reduce ln(3^-e e^3) to simplest form

1 answer:

leva [86]2 years ago

7 0

The logarithm of a product is equal to the sum of logarithms:

$\ln(3^{-e}e^3)=\ln3^{-e}+\ln e^3$

Drop the exponents:

$-e\ln3+3\ln e$

The logarithm of a number is equal to 1 if the base of the logarithm is the same as the number itself:

$-e\ln3+3$

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What is another way of writing 34 x (65 + 27)?

Andru [333]

36 x (65+27) is the same as 36(65+27) .. you are able to distribute the 36 ( distributive property) onto the 65 and 27 and add them. Also, you can add the numbers in between the parenthesis and multipy them by 36. Nonetheless, you would arrive at the same answers.

4 0

3 years ago

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How to find the slope

nirvana33 [79]

Answer:

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Step-by-step explanation:

use this formula if you're having two points or a graph

6 0

2 years ago

Round 14 17/21 to the who number

kaheart [24]

Answer: 15 !

Step-by-step explanation:

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4 0

2 years ago

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A competitive knitter is knitting a circular place mat. The radius of the mat is given by the formula

Ilia_Sergeevich [38]

Answer: A. $A'(t)=\frac{4356\pi}{(t+11)^{3}}-\frac{527076\pi}{(t+11)^{5}}$

B. A'(5) = 1.76 cm/s

Step-by-step explanation: <u>Rate</u> <u>of</u> <u>change</u> measures the slope of a curve at a certain instant, therefore, rate is the derivative.

A. Area of a circle is given by

$A=\pi.r^{2}$

So to find the rate of the area:

$\frac{dA}{dt}=\frac{dA}{dr}.\frac{dr}{dt}$

$\frac{dA}{dr} =2.\pi.r$

Using $r(t)=3-\frac{363}{(t+11)^{2}}$

$\frac{dr}{dt}=\frac{726}{(t+11)^{3}}$

Then

$\frac{dA}{dt}=2.\pi.r.[\frac{726}{(t+11)^{3}}]$

$\frac{dA}{dt}=2.\pi.[3-\frac{363}{(t+11)^{2}}].\frac{726}{(t+11)^{3}}$

Multipying and simplifying:

$\frac{dA}{dt}=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}$

The rate at which the area is increasing is given by expression $A'(t)=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}$ .

B. At t = 5, rate is:

$A'(5)=\frac{4356\pi}{(5+11)^{3}} -\frac{527076\pi}{(5+11)^{5}}$

$A'(5)=\frac{4356\pi}{4096} -\frac{527076\pi}{1048576}$

$A'(5)=\frac{2408693760\pi}{4294967296}$

$A'(5)=1.76268$

At 5 seconds, the area is expanded at a rate of 1.76 cm/s.

5 0

2 years ago

2.<br> ers What is 592 rounded to<br> the nearest 10?

Lady bird [3.3K]

590. Since 2 is under 5 you round it down

7 0

1 year ago