Perpendicular = opposite sign and reciprocal slope
Y = 3/2x + 1
The slope is 3/2, opposite sign = -3/2 now reciprocal = -2/3
Y = -2/3x + b
Plug in the point (6,-2)
-2 = -2/3(6) + b
-2 = -12/3 + b
-2 = -4 + b, b =2
Solution: y = -2/3x + 2
P= the car is blue
q= the car is spacious
p^q is true if and only if the car is both blue AND spacious
if the car is not blue, or the car is not spacious, or both then p^q is false
Seventy Thousand plus Four Hundred Thousand plus Ten Thousand plus Eight Thousand plus Five Hundred plus Thirty plus Nine.
Answer:
78.88%
Step-by-step explanation:
We have been given that

The z-score formula is given by

For 

For 

Now, we find the corresponding probability from the standard z score table.
For the z score -1.25, we have the probability 0.1056
For the z score 1.25, we have the probability 0.8944
Therefore, the percent of the trees that are between 20 and 30 years old is given by
0.8944 - 0.1056
= 0.7888
=78.88%
Answer:
The value of x at this instant is 3.
Step-by-step explanation:
Let
, we get an additional equation by implicit differentiation:
(1)
From the first equation we find that:
(2)
By applying (2) in (1), we get the resulting expression:
(3)

If we know that
and
, then the first derivative of x in time is:

From (1) we determine the value of x at this instant:




The value of x at this instant is 3.