Answer:
The half-life of this substance would be 8 day
Step-by-step explanation:
Given equation that shows the amount of the substance after t days,
Where,
n = initial quantity of the substance
If y = n/2,
Taking ln both sides,
Hence, the half-life of this substance would be 8 days.
Answer:
The two numbers are 4 and 22.
Step-by-step explanation:
Let the two numbers be x and y. Let y be the smaller number.
x - y = 18
2y + 3x = 74
Solve the first equation for either variable and plug it into the second equation.
Solving for y: x = y + 18
2y + 3(y + 18) = 74
Simplify.
2y + 3y + 54 = 74
5y + 54 = 74
5y = 20
y = 4
Go back and solve for x.
x - y = 18
x - 4 = 18
x = 22
The two numbers are 4 and 22.
Check using both equations.
The difference between 22 and 4 is 18.
Twice the smaller is 8. Three times the larger is 66. The sum of 8 and 66 is 74.
Answer:
y = 2/3x + 4
Step-by-step explanation:
Slope-intercept form of a line:
- y = mx + b
- where m = slope and b = y-intercept
To find the equation of a line, we need two points that the line passes through.
We can use the x-intercept and y-intercept of the line: (-6,0) and (0,4), respectively.
Find the slope of the line using these two points:
- Slope formula:
Plug the two points into the formula.
Subtract and simplify this fraction.
The slope of this line is m = 2/3.
Now we can look at the graph to determine the y-intercept of this line; the line intersects the y-axis at (0,4) so the constant b = 4.
We can use the slope, m, and the y-intercept, b, and substitute these values into the slope-intercept form of a line.
The equation of the line is y = 2/3x + 4.
Let's check with the pythagoras theorem,
65² = 33² + 56²
4225 = 1089 + 3136
4225 = 4225
As it obeys it, It is a right angle triangle.
Hope this helps!
Answer:
m +2m +(2m -6) = 19
Step-by-step explanation:
m = number of books sold on Monday.
2m = number of books sold on Tuesday, twice as many as Monday.
2m -6 = number of books sold on Wednesday, 6 fewer than Tuesday.
The total number of books sold on the three days gives the equation you're looking for:
m +2m +(2m -6) = 19
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<em>Additional comment</em>
Solving this gives ...
5m = 25 . . . . add 6
m = 5 . . . . . divide by 5
5, 10, and 4 books were sold on the three days.