<span>If the US gains 1 person every 11 seconds, we can find how many people the US gains each year. We can divide the total number of seconds each year by 11 seconds.
(365 x 24 x 3600 s) / (11 s) = 2866909 people
The US gains 2866909 people each year.
The US gains 2.866909 million people each year.
f(t) = 300 + 2.866909 t
f(0) = 300
f'(t) = 2.866909
f'(0) = 2.866909</span>
The graphs are identical and intersect at infinitely many points.
This is because 2(2x+3) is the same as 4x+6
Distribute the outer 2 to each term inside
2 times 2x = 4x
2 times 3 = 6
So 2(2x+3) simplifies to 4x+6
Or you can think of 4x+6 factoring to 2(2x+3)
Answer:
Step-by-step explanation:
take 60 degree as reference angle
using cos rule
cos 60=adjacent/hypotenuse
1/2=80/x(do cross multiplication)
80*2=x
160=x
Answer:
<em>82.67% of the fertilizer will be used on the property.</em>
Step-by-step explanation:
<u>Area of Plane Figures</u>
The backyard described in the problem has two parts: One with a rectangular shape of 30 feet by 20 feet. The other with a triangular shape with a base of 24 feet and a height of 12 feet.
The area of a rectangle is calculated by:
And the area of a triangle is:
All the backyard will be covered by fertilizer coming from a container with a capacity of 900 square feet.
The total area of the backyard is the sum of the area of the rectangle Ar and the area of the triangle At as follows:
The total area of the backyard is:
To find the percentage of the container, we calculate:
82.67% of the fertilizer will be used on the property.
Answer:
decrease of 1.153 sales per day
Step-by-step explanation:
Given:-
- The price of item = p
- The number of sales = x
- The relationship between "p" and "x" is given below:
5p+5x+3px=71
Find:-
Find the rate at which x is changing when x=3, p=4, and dp/dt=1.4. The rate at which x is changing is [ ] sales per day
Solution:-
- Take the time derivative (d/dt) of the entire given expression and apply chain rule on d/dt ( 3px ). Since both "p" and "x" are only functions of time "t":
d/dt (5p+5x+3px=71)
5*dp/dt + 5*dx/dt + 3* ( x*dp/dt + p*dx/dt) = 0
- Use the given values x=3, p=4, and dp/dt=1.4 to determine dx/dt:
5*1.4 + 5*dx/dt + 3*3*1.4 + 3*4*dx/dt = 0
17dx/dt = -19.6
dx/dt = -1.153 sales per day
- There is a decrease of 1.153 sales per day.