Answer:
The coordinates of his position is (-6,-8).
Step-by-step explanation:
Consider the provided information.
Let's assume for a moment that we are standing at the origin and the positive y-axis points due North while the positive x-axis points due East.
North represents the positive y axis, then south will represents the negative y axis.
It is given that the east represents the positive x axis then west represents the negative x axis.
Sasquatch-o-meter tells us that Sasquatch is 6 miles West and 8 miles South of our current position.
6 miles west represents a x=-6 and also 8 miles south represents y=-8
Thus, the coordinates of his position is (-6,-8).
Answer with explanation:
Let us assume that the 2 functions are:
1) f(x)
2) g(x)
Now by definition of concave function we have the first derivative of the function should be strictly decreasing thus for the above 2 function we conclude that

Now the sum of the 2 functions is shown below

Diffrentiating both sides with respect to 'x' we get

Since each term in the right of the above equation is negative thus we conclude that their sum is also negative thus

Thus the sum of the 2 functions is also a concave function.
Part 2)
The product of the 2 functions is shown below

Diffrentiating both sides with respect to 'x' we get

Now we can see the sign of the terms on the right hand side depend on the signs of the function's themselves hence we remain inconclusive about the sign of the product as a whole. Thus the product can be concave or convex.
Step-by-step explanation:
It is given that,
Initial speed of the car, u = 40 m/s
Final speed of the car, v = 25 m/s
Time taken, t = 3.5 s
(a) We need to find the magnitude and direction of the car’s acceleration as it slows down. It can be calculated using formula as :
The acceleration is in the opposite direction of motion i.e. west.
(b) Let s is the distance the car travel in the 3.5-s time period. It can be calculated using the third equation of motion as


s = 113.9 meters
Hence, this is the required solution.
Answer:
99
Step-by-step explanation:
1₦ = 100 k
₦9.90 =?
=990k
990/10=99