Plz Help im horrible at math if someone can help that would be much appreciated

Mathematics

1 answer:

timurjin [86]3 years ago

6 0

We need to compute the slope of the graph shown

m = (y2 - y1)/(x2 - x1)
m = (25-10)/(5-2)
m = 15/3
m = 5

The slope of 5 means the graph tells us "she is walking 5 feet per second".

So the first part of her walk is at 4 feet per second, then the second part of her walk is at 5 feet per second. The second part of her walk is faster. As a story scenario, perhaps she realizes she is going to be late getting home which is why she is walking a bit faster now.

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Express the illuminance on the floor as a composite function of t for 0 < t < 8.

GrogVix [38]

The formula for illuminance is given by
E = I / d^2
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The problem asks for the illuminance across the floor. We need to use two variables, x and y.
From Pythagorean Theorem
d^2 = x^2 + y^2
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x = d cos t
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Ann is adding water to a swimming pool at a constant rate. The table below shows the amount of water in the pool after different

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Answer:

(a) As time increases, the amount of water in the pool increases.

11 gallons per minute

(b) 65 gallons

Step-by-step explanation:

From inspection of the table, we can see that as time increases, the amount of water in the pool increases.

We are told that Ann adds water at a constant rate. Therefore, this can be modeled as a linear function.

The rate at which the water is increasing is the rate of change (which is also the slope of a linear function).

Choose 2 ordered pairs from the table:

$\textsf{let}\:(x_1,y_1)=(8, 153)$

$\textsf{let}\:(x_2,y_2)=(12,197)$

Input these into the slope formula:

$\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{197-153}{12-8}=\dfrac{44}{4}=11$

Therefore, the rate at which the water in the pool is increasing is:

11 gallons per minute

To find the amount of water that was already in the pool when Ann started adding water, we need to create a linear equation using the found slope and one of the ordered pairs with the point-slope formula:

$y-y_1=m(x-x_1)$