Good job! I hope you get the answers right for your other questions.
Total cost, C = 8x^2 + 12xz
volume, V = (x^2)*z = 10
C = 8x^2 + 12x*10/x^2
= 8x^2 + 120/x
dC/dx = 16x - 120/x^2 = 0
16x = 120/x^2
x^3 = 120/16
x = 1.957 ft
d^2C/dx^2 = 16 +240/x^3 = +ve for x = 1.957
so, C is minimum when
x = 1.957 ft z = 2.61 ft
Length of the base x is 1.957 ft and height of side z is 2.61 ft
Multiply 145.80 by 2/3, get $97.20 in two days.
Using function concepts, we have that:
- The independent quantity is the time.
- The dependent quantity is the volume.
- Graph H fits this problem.
<h3>What is the relation between a function and the dependent and independent variables?</h3>
A function has the following format: y = f(x).
In which each value of <u>y is a function of one value of x</u>, and thus, x is the independent variable and y is the dependent variable.
That is, the input of the function is the independent variable and the output is the dependent variable.
For this problem, the <u>volume is a function of time</u>, hence Volume = f(Time) and:
- The independent quantity is the time.
- The dependent quantity is the volume.
The <u>decay rate is constant</u>, meaning that we have a <u>decreasing linear function</u>, and graph H fits this problem.
More can be learned about dependent and independent variables at brainly.com/question/1429012
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Answer:
A
Step-by-step explanation:
Side A which is 4 is an angle of 41.40
Side B which is 5 is an angle of 55.7
Side C which is 6 is an angle of 82.8