Write the expression that shows "3 times the sixth power of 10"

Answer: Option C is the correct graph.

Explanation:

An odd function satisfies the condition,

This indicates that for any point (x,y) on the graph, the point (-x,-y) will also be present.

Why Option C is correct:

Option C includes the point (1,2), which implies the point (-1,-2) must be present.

Indeed, (-1,-2) is among the points.

Other pairs like (2,3) with (-2,-3), (3,-1) with (-3,1), and (4,0) with (-4,0) are also found. Hence, the function represented is odd.

Why other options are incorrect:

In Option A, (1,3) is given, so at x = -1, y should be -3, but instead y = 1, so it’s not odd.

Option B has (1,0), so at x = -1, y should be 0, but y = -3, so it is not odd.

Option D features (1,-1), meaning at x = -1 y should be 1; however, y = -1, so it's not odd.

Response:

1. 0.5 L; 2. 5.00 L  

Detailed explanation:

V = 5.00 - 0.5n

Including units, the equation can be expressed as

V(in litres) = 5.00 L - (0.5 L/day) × (n days)

1. Evaporation rate

When units are included, it becomes clearer that water is evaporating at a rate of 0.5 L per day. In essence, 0.5 L evaporates daily.

The negative sign indicates a reduction in water volume.

2. Initial volume

Initially, when n = 0, we find

V = 5.00 - 0.5×0 = 5.00 - 0 = 5.00 L

This means the bucket originally held 5.00 L of water.

Response:

%=-7t

solution -7% per 1:00

Detailed Steps:

I hope that this clarifies your question.

Answer:

                          π

V-foam = 4r³( 2 - ----- )

                             3

Step-by-step explanation:

Let r denote the radius of the sphere. The volume of the sphere is expressed as

V = (4/3)(π)(r³).

Next, understand that the cube's side length is 2r, hence the cube's volume is

V = (2r)³, which equals 8r³.

The volume of the foam is derived from the cube's volume subtracting that of the sphere:

V-foam = 8r³ - (4/3)(π)(r³). This can be simplified to

                          π

V-foam = 4r³( 2 - ----- )

                             3