Generally, females tend to be more flexible than males. Question 5 options: True False

the height of a bottle rocket, in meters, is given by the function s(t)=−9t2+103t+403. find the average velocity of the bottle r

zaharov [31]

The average velocity of the bottle rocket are two given time intervals is 30 m/s and 20 m/s respectively, while the instantaneous velocity at 4.5 seconds is 22 m/s.

The given parameters;

s(t) = -9t² + 103t + 403
time interval (4.499, 4.5), and (4.5, 4.501)

The average velocity of the bottle rocket over the intervals is calculated as follows;

when the interval = [<em>4.499, 4.5</em>]

$s(4.499)= -9(4.499)^2 + 103(4.499) + 403 = 684.22 \ m\\\\s(4.5) = -9(4.5)^2 + 103(4.5) + 403 = 684.25 \ m$

$v = \frac{\Delta \ s}{\Delta \ t} = \frac{684.25 - 684.22}{4.5 - 4.499} = 30 \ m/s$

when the interval = [<em>4.5, 4.501</em>]

$s(4.5) = -9(4.5)^2 + 103(4.5) + 403 = 684.25 \ m\\\\s(4.501) = -9(4.501)^2 + 103(4.501) + 403 =684.27 \ m\\\\v= \frac{684.27 - 684.25}{4.501-4.5} \\\\v = 20 \ m/s$

The instantaneous velocity of the bottle rocket at time t=4.5;

$v = \frac{d \ s(t)}{dt} = -18t + 103\\\\v(4.5) = -18(4.5) + 103\\\\v(4.5) = 22 \ m/s$

Thus, the average velocity of the bottle rocket are two given time intervals is 30 m/s and 20 m/s respectively, while the instantaneous velocity at 4.5 seconds is 22 m/s.

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Which of the following requires the most education?

const2013 [10]

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A veterinarian requires the most education out of the four.

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Which expression can be simplified to find the slope of the line of best-fit in the scatterplot below?

malfutka [58]

$\frac{134-35}{16-4}$ is the correct answer and this expression can be simplified to find the slope of the line of best-fit in the scatterplot below by using the the slope equation : $\frac{Y_{2} - Y_{1}}{X_{2} - X_{1}}$ .

What is Slope of the Line?

The slope of the line is the measure of its steepness and direction. Without using a compass, determining the slope of lines in a coordinate plane can help predict whether the lines are parallel, perpendicular, or none at all.

Any two distinct points on a line can be used to calculate the slope of that line. The slope of a line formula computes the "vertical change" to "horizontal change" ratio between two distinct points on a line. In this article, we will learn about the slope-finding method and its applications.

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Which statement best conveys how the author's viewpoint changes in the passage.

fiasKO [112]

Answer: His ability to describe the river with precise language improves as he gains more skills in steamboating .

Explanation:

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Polonius’s character is complex in the excerpt because he represents suspicion. he is loyal to King Claudius. he predicts Hamlet

Eddi Din [679]

Polonius’s character is complex in the excerpt because he practices deception.

The excerpt from Act III of Hamlet talks about Polonius deceptiveness. The act centers on Polonius hiding in the chamber of Gertrude so as to eavesdropped on Hamlet and his mother and this can be achieved through hiding.

Due to the fact He overheared the while hiding in the chamber, he tried as much as possible to convince Gertrude to not show any partiality towards Hamlet.

From the above, we can therefore say that Polonius’s character is complex due to the fact that he practices deception.

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