A family are going away for the weekend. They look at a road map to see where their hotel is. The scale used is 1 : 250,000 The

For this inquiry, we are presented with a graph, and we're tasked with determining the x-coordinate of where the two lines intersect.

An examination of the graph indicates that the input value is around 3.3.

In the graph,

To derive g(x), we need the slope and y-intercept.

The slope represents the ratio of vertical change to horizontal change.

In this case, the rise is 3 units and the run is 2 units. The line intersects the y-axis at -2.

Thus, the equation for g(x) becomes

Next, we will perform

Substituting the values of both functions will yield

By adding 2 to both sides, we have

We will apply cross multiplication

Thus, the approximate input value is 3.3.

The solution's average current density is 1 ampere per square decimeter.

We need to convert this value to ampere per square meter.

Since 1 decimeter equals meters,
squaring gives us:

1 square decimeter equals square meters.

Hence, the current density now is .

Therefore, the current density of the electrolyte solution is 100 amperes per square meter.

Response:

PQ's slope is 0

MN's slope equals infinity

The lines PQ and MN are perpendicular to one another

Detailed explanation:

For two points in the coordinate plane, denoted as (x1, y1) and (x2, y2), the slope is determined as follows:

If a line has a slope of zero, it runs parallel to the X-axis and stands perpendicular to the Y-axis

If a line's slope is infinite, it is parallel to the Y-axis and perpendicular to the X-axis

Moreover, it is established that X and Y are perpendicular to each other.

As PQ's slope is zero, it runs parallel to the X-axis and perpendicular to the Y-axis

With MN having an infinite slope, it runs parallel to the Y-axis and perpendicular to the X-axis.

Therefore, lines PQ and MN are indeed perpendicular.

Answer:

This is how the money should be divided:

Each of my two younger siblings receives P3,000.

I will take P4,000.

The reasoning for this allocation stems from the principle that the eldest and youngest siblings should not receive equal portions when dividing assets.

Step-by-step explanation:

This division approach is the only sensible method to distribute P10,000 among myself and my younger siblings while ensuring no fractions are involved, maintaining whole peso amounts. Any other method would result in leftover change.

The pot has the capability to hold 1/3 more than its current level. Therefore, 1/3 of 5 1/2 quarts equals:

(1/3)(11/2) = 11/6 quarts. Thus, the total capacity of the pot is 11/6 quarts.