Volume would equal 14137.17 units
Answer:
Value of x = 400
Step-by-step explanation:
Joint variation states that describes a situation where a variable depends on two (or more) other variables, and varies directly with some of them.
Given: x varies directly with y and z.
i.e
and ![x \propto z](https://tex.z-dn.net/?f=x%20%5Cpropto%20z)
then we have the joint variation as;
......[1] where k is the constant variation.
Substitute the value of x =1200 when y =20 and z = 30 to solve for k;
![1200 = k (20)(30)](https://tex.z-dn.net/?f=1200%20%3D%20k%20%2820%29%2830%29)
Simplify:
![1200 = 600k](https://tex.z-dn.net/?f=1200%20%3D%20600k)
Divide both sides by 600 we get;
![k = 2](https://tex.z-dn.net/?f=k%20%3D%202)
Now, substitute k =2 , y =10 and z = 20 to find x;
Using [1] we have;
![x = 2 \times (10)(20) = 2 \times 200](https://tex.z-dn.net/?f=x%20%3D%202%20%5Ctimes%20%2810%29%2820%29%20%3D%202%20%5Ctimes%20200)
Therefore, the value of x is, 400
<span>Answers:
V = (15-2x)(8-2x)x
V = 120x -46x²+ 4x³
V' = 120 -92x + 12x²
0 = 120 -92x + 12x²
x = (92±52)/24
x = 6 or 5/3
Pick x = 5/3
Volume = (15-2*5/3)(8-2*5/3)*5/3
= 90.74 inÂł
To justify x = 5/3 is the max
V" = -92 + 24x
V"(5/3) = -92 + 24(5/3) <0 negative.
Volume V(5/3) is max because the function is
concave down with V"<0.</span>
Answer:
the answer is get to be D-3.5
2,250 m from his starting point.
Just turn 3.5 into 3500.
Then subtract 3500 by 1250. And the tiger ran 2250 m.