For which values of k does the system of linear equations have zero, one, or an infinite number of solutions? [Note: not all thr

The diagonal that crosses the interior of the cube is the longest segment. The hypotenuse corresponds to the longest side in a right triangle. In this case, the cube's diagonal serves as the hypotenuse of a right triangle, with the legs being the diagonal of one of its faces and one of its edges. The edges are the shortest sections and function as the legs of a right triangle where the face's diagonal acts as the hypotenuse.

Response:1 and 2

Step-by-step Explanation:

Provided data

Volume required

For the initial cylinder

For the second cylinder

For the third cylinder

For the fourth cylinder

Thus, cylinders and meet the requirement as they remain under

The expression evaluates to 54.

Part A

The weight of a wire piece correlates directly to its length

⇒ Weight of wire (W) is proportional to Length of wire (L)

⇒ W = k × L

With L = 25 cm, then W = 6 gms

⇒ = k

⇒ k =

To find weight for 30 cm wire, substitute k and W into W = k × L

⇒ W = × 30

⇒ W = 7.2 gms

Part B

p is inversely proportional to m

⇒ p = k × m

If p=48 when m=9

k =

⇒ k =  

Now to deduce p when m = 12, replace m and k in p = k × m

p = × 12

⇒ p = 64