Answer:
End result is ln(-x) + 1
Step-by-step explanation:
1, ln x + 2
2. ln(x + 2) + 2
3. ln(x + 2 - 2) + 2 = ln x + 2
4. ln x + 1
5. ln(-x) + 1
Answer:
30 fish
Step-by-step explanation:
Each fish needs 1/3 liter of water.
This means that there can be 3 fish in 1 liter of water. There are 10 liters in all. Multiply 3 with 10
3 x 10 = 30
30 fish is your answer.
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The probability that a randomly selected customer will have to wait between 32 minutes and 37 minutes is 59.81%
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Z score is given by:
z = (raw score - mean) / standard deviation
Given mean of 36 minutes and a standard deviation of 3 minutes.
For x = 32:
z = (32 - 36)/3 = -1.33
For x = 37:
z = (37 - 36)/3 = 0.33
P(-1.33 < z < 0.33) = P(z < 0.33) - P(z < -1.33) = 0.6179 - 0.0198 = 0.5981
The probability that a randomly selected customer will have to wait between 32 minutes and 37 minutes is 59.81%
Find out more on equation at: brainly.com/question/2972832
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9514 1404 393
Answer:
2. (only)
Step-by-step explanation:
The Pythagorean theorem tells you the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. To determine if these are right triangles, determine if that condition is met.
1. 3^2 +5^2 = 9 + 25 = 34 ≠ (√35)^2 . . . . not a right triangle
2. 5^2 +4^2 = 25 +16 = 41 = (√41)^2 . . . a right triangle
3. 6^2 +8^2 = 36 +64 = 100 ≠ (√10)^2 . . . . not a right triangle
4. 3^2 +3^2 = 9 +9 = 18 ≠ (3√3)^2 = 27 . . . . not a right triangle
Answer:
The equation is
at a rate of -23%.
Step-by-step explanation:
Decay can be represented by the equation
. We can find the rate at which it decays by using t=3 hours and A=3000. This means
in this context.
After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.
We know
so we were able to cancel it out and divide both sides by 3.
We solve with a calculator
We change -0.23 into a percent by multiplying by 100 to get -23% as the rate.
The equation is