I don’t see any multiple choice but d3 -343 is factored as (d-7)(d^2+7d+49)
Answer:
5 hours
Step-by-step explanation:
This is a classic pre-algebra question.
Hi there!
<u>FACTS</u> :
The formula for the volume of a cylinder is : V = × r² × h
<u>STEPS TO ANSWER:</u>
You have the diameter of the cylinder, which is 13cm.
In order to have the radius of the cylinder to put in our formula, you'll need to divide the diameter by 2 because the diameter is two times the radius:
13 ÷ 2 = 6.5
Now that you have the radius (6.5) and the height (24cm) of the cylinder, you can put these information in the formula and calculate de volume :
V = × r² × h
V = × <u>6.5²</u> × 24
V = × <u>42.25 × 24</u>
V = × 1,014
V = 3,185.574950......
Since you need to round your answer to the nearest tenth, which means that you will have only one decimal, the volume of the cylindrical container would be about 3,185.6cm³.
There you go! I really hope this helped, if there's anything just let me know! :)
The equilibrium point for the pair of demand and supply function is 100
We have been two linear function, one is linear supply function and other is linear demand function.
In general , linear supply function is given as:
Qs = x + yP
Where , Qs = quantity supplied
x = quantity
P = price
And linear demand function is given is :
Qd = x + yP
Where , Qs = quantity supplied
x = quantity
P = price
According to the question,
Linear supply function is q = 300 + 5x
And linear demand function is q = 4800 – 40x
To find the equilibrium point we will put two quantities equal, that is,
Qs = Qd
300 + 5x = 4800 – 40x
5x + 40x = 4800 – 300
45x = 4500
x = 100
Hence the equilibrium point is 100
Learn more about equilibrium point here : brainly.com/question/1915798
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