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nevsk [136]
3 years ago
15

Hillary measured the depth of the snow in her front yard for 7 days. An equation for the line of best fit for Hillary’s data is

y = − 0.5 x + 8 . Let x represent the number of days. Let y represent the depth of the snow in inches. Which statement BEST describes the meaning of the slope in this equation? A. The depth of the snow increased 8 inches per day. B. The depth of the snow increased 0.5 inch per day. C. The depth of the snow decreased 0.5 inch per day. D. The depth of the snow decreased 8 inches per day.
Mathematics
1 answer:
pashok25 [27]3 years ago
6 0

Answer:

c

Step-by-step explanation:

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find the value of the trigonometric function sin (t) if sec t = -4/3 and the terminal side of angle t lies in quadrant II
kodGreya [7K]

Answer:

sin(t) =\frac{\sqrt{7}}{4}

Step-by-step explanation:

By definition we know that

sec(t) = \frac{1}{cos(t)}

and

cos ^ 2(t) = 1-sin ^ 2(t)

As sec(t) = -\frac{4}{3}

Then

sec(t) = -\frac{4}{3}\\\\\frac{1}{cos(t)} =-\frac{4}{3}\\\\cos(t) = -\frac{3}{4}

Now square both sides of the equation:

cos^2(t) = (-\frac{3}{4})^2

cos^2(t) = \frac{9}{16}\\\\

1-sin^2(t) =\frac{9}{16}\\\\sin^2(t) =1-\frac{9}{16}\\\\sin^2(t) =\frac{7}{16}\\\\sin(t) =\±\sqrt{\frac{7}{16}}

In the second quadrant sin (t) is positive. Then we take the positive root

sin(t) =\sqrt{\frac{7}{16}}

sin(t) =\frac{\sqrt{7}}{4}

8 0
3 years ago
What is the equation for this line? *
ELEN [110]

Answer:

y = -2x + 1

Step-by-step explanation:

The y-intercept is given by the point that is on the y-axis. (1)

This means that the answer contains a +1

Then you must find  if the slope is positive or negative

In this case the slope is negative because the line goes "downhill" from left to right

Since the slope is negative it means that there will be a negative sign in the beginning of the equation

Next, to find the slope you need to find the rise over run

Since it is a negative slope the rise will be negative and the run will be positive.

To find the slope find two clear points on the graph such as (0,1) and (2,0)

To find the slope, use the slope formula

This would look like: (0-2)/(1-0)

Your slope will be -2x

Piece it all together and you get a final answer of y= -2x+1

7 0
4 years ago
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