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.
Answer:
A 12-kg load stretches an elastic the belt 0.03m
Step-by-step explanation:
we know A 8-kg load stretches an elastic belt 0.02 m.
=> 0.02 / 8 = 0.0025
so A 1-kg load can stretch an elastic belt 0.02 m.
=> 12 * 0.0025 = 0.03 m
A 12-kg load stretches an elastic the belt 0.03m
Answer: 3.3 × 10⁹
Concept:
When multiplying exponents, add the exponents together.
When dividing exponents, subtract the exponents.
Solve:
<u>Given expression</u>
(3 × 10⁴) × (1.1 × 10⁵)
<u />
<u>Put like terms together</u>
=3 × 1.1 × 10⁴ × 10⁵
<u>Combine like terms</u>
=3.3 × 10⁴⁺⁵
=
Hope this helps!! :)
Please let me know if you have any questions
Answer:
The price is $0.20 per square inch
Step-by-step explanation:
step 1
Find the area of the circular table top
The area of the circle is equal to
we have
------> the radius is half the diameter
substitute
step 2
Divide the cost by the area to find the price per square inch
therefore
The price is $0.20 per square inch
