Answer:
81 times the original size
Step-by-step explanation:
AA0ktA=3A0=?=?=25hours=A0ekt
Substitute the values in the formula.
3A0=A0ek⋅25
Solve for k. Divide each side by A0.
3A0A0=e25k
Take the natural log of each side.
ln3=lne25k
Use the power property.
ln3=25klne
Simplify.
ln3=25k
Divide each side by 25.
ln325=k
Approximate the answer.
k≈0.044
We use this rate of growth to predict the number of bacteria there will be in 100 hours.
AA0ktA=3A0=?=ln325=100hours=A0ekt
Substitute in the values.
A=A0eln325⋅100
Evaluate.
A=81A0
At this rate of growth, we can expect the population to be 81 times as large as the original population.
Answer:
The equation of the function in slope-intercept form is y = 3 x + 5 .
Step-by-step explanation:
Given as :
A line passes through the point ( - 1 , 2 )
i.e ( x , y ) = ( - 1 , 2 )
The slope of the line is 3
The equation of line in slope intercept form
y - 
= m ( x - 
)
Where m is the slope of the line
So, y - 2 = 3 ( x - ( - 1 ) )
Or, y - 2 = 3 ( x + 1 )
Or, y - 2 = 3 x + 3
Or, y = 3 x + 3 + 2
∴ y = 3 x + 5
Hence The equation of the function in slope-intercept form is y = 3 x + 5 . Answer
Answer:
392
Step-by-step explanation:
2((7 - 10)^2 + 5)^2
2((-3)^2 + 5)^2
2(9 + 5)^2
2(14)^2
2(196)
392
Answer:
3x - 2x
Step-by-step explanation:
The difference - the subtraction symbol
The product of three and a number - 3 multiplied by x (basically says what's the solution to three times x)
Two times the number - 2 times x
