The constant of proportionality is: 3.85, because 19.25/5= 3.85. Hope this helps! :)
Answer:
Carlos graphed the perpendicular bisector of AB.
Step-by-step explanation:
Given a line segment AB drawn in a coordinate plane. The set of points that are the same distance from points A and B divides the line segment AB into two equal parts.
This line is referred to as the perpendicular bisector of AB.
Therefore, Carlos graphed the perpendicular bisector of AB.
Answer:
H0: p = 3.5
H1: p < 3.5
Step-by-step explanation:
We are told that past studies have indicated that the percentage of smokers is estimated to be about 35%, but with the new smoking cessation programs that have been implemented, it is believed that the percentage of smokers has been reduced, we must propose our null and alternative hypotheses, which would be the following:
Null hypothesis: H0: p = 3.5
Alternative hypothesis: H1: p < 3.5
If a carpenter cut the top section of a window frame with a 40º angle on each end. The side pieces each have a 50º angle cut at their top ends, as shown. <u>Yes </u>the side pieces of the frame will be parallel. How i know is that both side are equal or parallel.
<h3>Parallel</h3>
The interior angles are the same or equal in measure. On the other hand the sum of the interior angles have to be 180°.
The two side pieces on the right hand and left hand side are equal in measure. The sides can be parallel only if the sum of both side angles is equal to 180°
Let calculate the one side of the interior angle and both side of the interior angle
One side of the interior angle=40º+50º
One side of the interior angle=90°
Both side of the interior angle=90°+90°
Both side of the interior angle=180°
Hence,
The side are parallel because: 180°=180°
Therefore Yes the side pieces of the frame will be parallel. How i know is that both side are equal or parallel.
Learn more about parallel here: brainly.com/question/26961508
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For this case we have the following function:
f (t) = -16t2 + 32t + 384
By definition we have to:
The average rate of change:
AVR = (f (t2) - f (t1)) / (t2 - t1)
Where,
For t1 = 4
f (4) = -16 * (4) ^ 2 + 32 * (4) + 384
f (4) = 256
For t2 = 6
f (6) = -16 * (6) ^ 2 + 32 * (6) + 384
f (6) = 0
Substituting values we have:
AVR = (0 - 256) / (6 - 4)
AVR = -128
Answer:
The average rate of change of f (t) from t = 4 seconds to t = 6 seconds is -128 feet per second.
