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4 years ago

If the population of a state was 4702644 how many representatives should that state have

1 answer:

8 0

There is not an exact way to answer that question. The number of representatives each state has is determined by the population. However, the total number of house representatives has been capped at 435 since 1913. Currently, the ratio of constituents to representatives is 700,000 to 1. So if you divide the total population by 700,000 you will have an approximation of the number of representatives.

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After a dreary day of rain, the sun peeks through the clouds and rainbow forms. You notice the rainbow is the shape of a parabol

lisabon 2012 [21]

Answer:

We are given that,

The equation of the rainbow is represented by the parabola,

$y=-x^2+36$

Now, we are required to find a linear equation which cuts the graph of the parabola at two points.

Let us consider the equation joining the points (-6,0) and (0,36), given by $y=6x+36$ .

So, the corresponding table for the linear equation is given by,

x $y=6x+36$

-6 0

0 36

1 42

6 72

Now, we will answer the questions corresponding the functions.

1. Domain and Range of the rainbow.

Since, the equation of the rainbow is $y=-x^2+36$

So, from the figure, we get that,

Domain is the set of all real numbers.

Range is the set $\{ y|y\leq 36 \}$

Here, domain represents the points which are used to plot the path of the rainbow and range represents the points which are form the rainbow.

Not all points make sense in the range as the parabola is opening downwards having maximum point as (0,36).

2. X and Y-intercepts of the rainbow.

As, the 'x and y-intercepts are the points where the graph of the function cuts x-axis and y-axis respectively i.e. where y=0 and x=0 receptively'.

We see that from the figure below,

X-intercepts are (-6,0) and (6,0) and the Y-intercept is (0,36)

Here, these intercepts represents the point where the parabola intersects the individual axis.

3. Is the linear function positive or negative.

As the linear function is $y=6x+36$ represented by the upward flight of the drone.

So, the linear function is a positive function.

4. The solution of the system of equations is the intersection points of their graphs.

So, from the figure, we see that the equations intersect at the points (-6,0) and (0,36).

Thus, the solution represents the position when both the drone and rainbow intersect each other.

8 0

3 years ago

Read 2 more answers

How can I find the length of the base?

garik1379 [7]

Remember, double the area and then divide by the known side length. To calculate the area of a triangle, we multiply the base times the height and divide by 2. If you are given the area, follow the steps backwards. You will multiply by 2 and divide by the given length.

8 0

3 years ago

a man is pulling a rope attached to a rock on a sloped road, exerting 200 pounds of force on the rope . If he is pulling at an a

adell [148]

For a better understanding of the answer please find the diagram in the attachment.

As can be clearly seen from the diagram that the distance, "d" (shown in dark blue) of 100 feet which is covered on the sloped/inclined road is actually making an angle of only 30 degrees with the force of 200 pounds which is being applied on the road. That angle of 30 degrees is what matters.

So, the force, F=200 pounds

distance, d=100 feet

And the angle between the force, F and the distance, d is: $\theta=30^{\circ}$