Answer:
Hormones are chemical messengers released from endocrine glands that travel through the blood system to influence the nervous system to regulate behaviors such as aggression, mating, and parenting of individuals.
Explanation:
A.) 120 - 2.5t = 1.5t
Adding 2.5t to both sides,
120 - 2.5t + 2.5t = 1.5t + 2.5t
120 = 4t
Dividing both sides by 4,
t = 120 ÷ 4
t = 30
B.) The solution represents the fact that at 30 seconds, James and Brianne are at the same height after 30 seconds of riding the elevator and running up the stairs respectively.
C.) Assuming it takes 1 second to complete 1 feet, and after 30 seconds, they have completed 30 feet, the height above the ground floor when they are at the same height at the same time will be 120 - 30 = 90feet.
<span>All of us are a product of the culture we are raised in, the rules and regulations that we must follow and the spoken and unspoken world views that are passed on. We see the world from our perspective and our reality, we cannot help it, it is the filter we look at life through. Sometimes without even knowing how prejudiced we are, we form our opinions from the experiences we have had and what we have watched as we were growing up. Everything comes from a place deep within us that helps us make sense of the world and the people in it.</span>
CALCULATOR PART
1. The area of R + S is unsigned, meaning you want to find
where ![[a,b]](https://tex.z-dn.net/?f=%5Ba%2Cb%5D)
is the interval between the leftmost and rightmost intersections of 
and 
.
First use your calculator to find these intersections:
so that 
and 
. Now compute the integral using your calculator:
2. The volume, using the washer method, is given by the integral
3. A circle of radius 
has area 
; a semicircle with the same radius thus has area 
. Each cross section of this solid is a semicircle whose diameter is the vertical distance between 
and 
, or 
. In terms of the diameter 
, the area of each semicircle would be 
. Then the volume of the solid is
NON-CALCULATOR PART
4. The mean value theorem says that for a function 
continuous on an interval and differentiable on 
, there is some 
such that
If this happens to be an antiderivative of , then we end up with
is continuous and differentiable everywhere, so the MVT applies. We have 
, so the MVT tells us there is some 
such that
That is, the average value of on ![[0,\pi]](https://tex.z-dn.net/?f=%5B0%2C%5Cpi%5D)
is 0. The MVT says there is some 
in the interval such that the function takes on the average value itself; this happens for 
.
5. This question seems to be incomplete...
Patent law in the US is the Patent Act. It protects new inventions and establishes the US Patent Office to accept patent applications. Its authority is from the US Constitution which says "Congress shall have power to promote the progress of science and useful arts, by securing for limited times to authors and inventors the exclusive right to their respective writings and discoveries."
