123,000.... I hope this answers your question
Answer:
Step-by-step explanation:
We are given the equation of the curve:
(1)
And the equation of the line that is normal (perpendicular to that curve) in the point :
(2)
Note this equation has the form , where is the slope of the line that es normal to the curve and the intersection of that line with the y-axis.
Well, let’s begin by finding the slope of the line that is tangent to the curve by differentiating the equation (1):
(3)
Then, we have to evaluate that when (remember we are given the point ):
(4) This is the slope of the line that is tangent to the curve
And the slope of the line that is perpendicular to that tangent line is its negative reciprocal. Hence:
(5) This is the slope of the line normal to the curve
Then:
(6)
Rewritting (2):
(7)
Evaluating in the point :
(8)
Finding :
(9) This is the value of
Substituting (9) in (6):
(10)
(11) This is the value of
Answer:
D
Step-by-step explanation:
Since it’s two years it’s 6%. Instead of multiplying do division, 6% /36 = 600
From the information given;
P(loss) = 47% = 0.47
Since each game played is independent of the next one, probability of losing is the same in each play.
Now,
P(losing two games in a row) = P(loss 1 and loss 2) = P(loss 1)*P(loss 2) = P(loss)^2 = 0.47^2 = 0.2209
P(losing 5 games in row) = P(loss)^5 = 0.47^2 = 0.0229
Answer:
Given that,
My cupcake recipe makes $12$ cupcakes and requires $1\frac12$ sticks of butter. I can only buy whole sticks of butter.
Therefore, 1 whole sticks of butter is enough to make $100$ cupcakes.