Answer:
21 hours
Step-by-step explanation:
You want to find x such that B(x) = 31. Fill in the value and solve.
... 31 = 1.33e^(0.15x)
... 31/1.33 = e^(0.15x) . . . . divide by 1.33
... ln(31/1.33) = 0.15x . . . . take the natural log
... ln(31/1.33)/0.15 = x ≈ 20.992 . . . . hours
After 21 hours, the concentration will be 31 M/mL.
Answer:
x = 2
Step-by-step explanation:
<em>Distribute</em>
3 (−4) = 2 (−2+1)
3 − 12 = 2 (-2x +1)
<em>Distrubute again</em>
3x - 12 = -4x + 2
<em>Add twelve to both sides of the equation</em>
<em>Simpfly</em>
3x = -4x + 14
<em>Add 4x to both sides of the equation</em>
<em>simpfly</em>
7x = 14
<em>Divide both sides of the equation by the same term</em>
<em>Simpfly</em>
x = 2
Answer:
f(x)^-1(x) =sqrt(x+5) -6
Step-by-step explanation:
f(x) = (x + 6)^2 - 5
y = (x + 6)^2 - 5
Exchange x and y and solve for y
x = (y + 6)^2 - 5
Add 5 to each side
x+5 = (y + 6)^2 - 5+5
x+5 = (y + 6)^2
Take the square root of each side
sqrt(x+5 )= sqrt( (y + 6)^2 )
sqrt(x+5 )=(y + 6)
Subtract 6 from each side
sqrt(x+5 ) -6=y + 6-6
sqrt(x+5) -6 = y
Answer:
- 9 and 28
Step-by-step explanation:
substitute the given values for x, y, z into the expressions
1
- (3 - 2) - 4(3 + 1) + 1 + (2(3) + 2)
= - 1 - 4(4) + 1 + 6 + 2
= - 1 - 16 + 8
= - 17 + 8
= - 9
2
4(2) - 6(- 3 + 1²) + 4(2)
= 8 - 6(- 3 + 1) + 8
= 8 - 6(- 2) + 8
= 8 + 12 + 8
= 28
A number that represents the property of the sample is the statistics.
<h3>
Statistics</h3>
Statistics refer to that number that describes a particular property of a sample set of numbers. It is the common property shared by all the numbers of the sample set. It involves the collection of data and information and then categorizing them according to their properties and inferences.
'Mean and proportion' is mathematical calculations that can be carried out on statistic number sets.
Mean refers to the average of the number set that is provided to us. It is calculated by adding the numbers and dividing them by the number of terms.
Proportion refers to the fraction of the number set according to some characteristics shared by the numbers.
To know more about mean and proportion,
brainly.com/question/24232216
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