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PSYCHO15rus [73]
3 years ago
14

How do you eliminate the natural log?​

Mathematics
1 answer:
denis23 [38]3 years ago
8 0

You make both sides exponent of e: since we have

e^{\ln(x)}=x

we also have

\ln(X)=\ln(Y) \iff e^{\ln(X)}=e^{\ln(Y)}\iff X=Y

where X and Y can be any expression.

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Twice a number increased by 5 is less then -9
polet [3.4K]

Answer:

2x+5<-9

Step-by-step explanation:

multiply the number by 2 and add 5

5 0
3 years ago
The velocity v in meters per second of a certain type of wave is given by v(h)=3 square root h
Serga [27]
The rate of change will be given by:
v(h)=3√h=3h^0.5
The rate of change will be:
v'(h)=(3×0.5)x^-0.5=1.5x^-0.5
hence when h=2 meters, then the rate of change will be:
v'(h)=1.5×2^-0.5
v'(h)=1.061 m/s
7 0
3 years ago
During summer vacation, you charge people 8$ per hour for swimming lessons and 20$ registration fee. If you make 52$ one day, ho
zepelin [54]

Answer:

You taught for 4 hours

Step-by-step explanation:

Let this number of hours be x.  Then:

Total earned = $20 + ($8/hr)x

Equate this to $52 and then solve the resulting equation for x:

20 + 8x = 52

Then 8x = 32, and x = 4.  You taught for 4 hours.

3 0
3 years ago
Read 2 more answers
Donna makes $9.75 per hour at her job. Kaylee makes $4 per hour at her job, and she receives a $0.25 raise each month. Which ine
n200080 [17]
<h2>Answer:</h2><h2>Option  D is the correct answer, 4 + 0.25x ≤ 9.75</h2>

Step-by-step explanation:

Donna earns per hour at her job = $9.75

Kaylee earns per hour at her job = $4

and she receives a raise each month = 0.25x

Kaylee's total earning = 4 + 0.25x

Comparing both the person's earning,

to find the number of months it will take for Kaylee to earn at least as much as Donna per hour is,

atleast as much as represents less than or equal to

Option  D, 4 + 0.25x ≤ 9.75

5 0
4 years ago
If a sprinkler waters 1 over 20 of a lawn in 1 over 5 of an hour, how much time will it take to water the entire lawn?
Lubov Fominskaja [6]
Answer: C. 4 hours

Explanation: 
You first measure how long 1/5 of an hour is in which is 12 minutes. You then multiply 12 by 20 because it takes 12 minutes to get 1/20 of the lawn watered. Your answer now should be 240. Finally, divide that number by 60 because you are measuring time in hours. Your final answer should be 4 hours.
4 0
3 years ago
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