Mathematics, 01.08.2019 22:30 casrdunn1060

Throughout the day, the depth of water at the end of a dock varies with the tides. the function represents the height, in feet, of the water t hours after midnight. which graph shows the height of the water at the dock at any time after midnight?

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Answer from: Tirone

You forgot to include the function and the set of graphs from where select the right one.

I did some research and found the function is:

h(t) = 5 cos (0.5t - 2) + 7

The graph for that function is in the figure attached. That is the answer.

To depict the grahp you can use this knowledge:

1) The maximum value of the cosine funcion is 1 and the minimum is - 1

2) Then, the maximum value of h(t) is 5(1) + 7 = 12

And that happens when the argument of the cosine is 0, which means:

0.5t - 2 = 0 => 0.5t = 2 => t = 2 / 0.5 = 4

So the maximum in the graph is the point (4, 12)

3) The minimum value of h(t) is 5(-1) + 12 = - 5 + 12 = 7.

And that happens when 0.5 t - 2 = π => 0.5t = π + 2 = (π + 2) / 0.5 ≈ 10.3

So, the minimum in the graph is the point (10.3, 7)

4) The vertical axis - intercept is when t = 0 => h(0) = 5cos(0 - 2) + 7 ≈ 4.9

With that you can choose the graph from your choices, and the result is the graph attached.

Throughout the day, the depth of water at the end of a dock varies with the tides. the function repr

Throughout the day, the depth of water at the end of a dock varies with the tides. the function repr

Answer from: Quest

y-1700=200(x+4)

step-by-step explanation:

200(x+4) is 200x + 800 she is saving 200 per week x is the weeks and the -1700 is. us that’s howmuch she already had

Answer from: Quest

the results from a pre-test for students for the year 2000 and the year 2010 are illustrated in the box plot. what do these results tell us about how students performed on the 29 question pre-test for the two years?

if we compare only the lowest and highest scores between the two years, we might conclude that the students in 2010 did better than the students in 2010. this conclusion seems to follow since the lowest score of 8 in 2010 is greater in value than the lowest score of 6 in 2000. also, the highest score of 28 in 2010 is greater in value than the highest score of 27 in 2000.

but the box portion of the illustration gives us more detailed information. the middle bar in each box shows us that the median score of 20 in 2000 is greater in value than the median score of 17 in 2010. further, we note that the box and whiskers divide the illustration into four pieces. each of these four pieces represents the same portion of students. so, the upper half of the students in 2000 scored in the same score range as the upper one-fourth of the students in 2010, see the illustration at a score of 20.

by considering the upper one-fourth, upper half, and upper three-fourths instead of just the lowest and highest scores, we would conclude that the students as a whole did much better in 2000 than in 2010. we would conclude that as a whole the students in 2010 are less prepared than the students in 2000.

in this section, we discuss box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. the key values are called a five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum.

step-by-step explanation: