Answer:
<h2>
63mm/min</h2>
Step-by-step explanation:
Area of a triangle = 1/2 * base * height
A = 1/2bh
Rate of change of area is expresssed as dA/dt = dA/db * db/bt
db/dt is the rate at which the base is increasing.
Given db/dt = 18mm/min
A = 1/2*7b
A = 7b/2
dA/db = 7/2
The rate at which the area is changing dA/dt = dA/db * db/bt
dA/dt = 7/2 * 18
dA/dt = 7*9
dA/dt = 63mm/min
<em>Hence the rate at which the area of the triangle is changing is 63mm/min </em>
Are there any dimensions given? because we need to know the length and width before we start.
Answer:
1/2 or 0.5
Step-by-step explanation:
Hello!
Pick two points on the graph, I'm picking (0,5) and (2,6)
To solve for the slope, we want the ratio to the rise of the graph, over the run of the graph (Rise/Run).
As the graph Rises 1 unit, it also Runs 2 units.
Hence the fraction 1/2.
We can also use the slope formula, given two points : (
Formula: 
Plug in our points (0,5) and (2,6):
The slope is 1/2, or 0.5
Answer: 4/3 hours or 1 1/3 hours
Step-by-step explanation:
From the question, we are told that two mechanics, Martin and Gordon, are working on your car. Martin can complete the work in 4 hours, while Gordon can complete the work in 2 hours.
Since Martin can complete the work in 4 hours, that means in 1 hour, he will do 1/4 of the work.
Since Gordon can complete the work in 2 hours, that means in 1 hour, he'll do 1/2 of the job.
When they both work together, we will add their fraction of work done in one hour together. This will be:
= 1/4 + 1/2
= 3/4
This means that both of them will do 3/4 of the job in one hour. Then to get the time taken to get the whole job done, we divide 1 by 3/4. This will be:
= 1 ÷ 3/4
= 1 × 4/3
= 4/3 hours
= 1 hour 20 minutes.
In one
Answer: R(x) = 0.25x + 500
Flat fee is computed by:
The sales price of each tile is 0.25 and the customer only bought 10,000 tiles.
So, $0.25 x 10,000 = $2500
So the total sales price per tile sold was $2,500.
The buyer paid $3,000, so the flat fee was included there.
So, $3,000 - $2,500 = $500
So the flat fee was $500.
~
The revenue function is the total income from producing the units. And it has a equation of: R(x) = price per unit x number of units sold plus any fee that is included
So the function describing the revenue of the tile from this sale is:
R(x) = 0.25x + 500
