A fish tank in the shape of a cuboid is to be made from 1600 cm^2 of glass. The fish tank will have a square base of side length x cm, and no lid. No glass is wasted. The glass can be assumed to be very thin. (a) Show that the volume, V cm , of the fish tank is given by V = 400x -x^3/4 (b) Given that x can vary, use differentiation to find the maximum or minimum value of V. (c) Justify that the value of V you found in part b is a maximum.

step-by-step explanation:

it will be a cylinder. with a diameter of 8 and 4 single pieces high

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

answer: on kudzu, being female and being green are independent events.

step-by-step explanation: