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1 year ago

PLEASE HELP!!! ASAP The function graphed approximates the height of a rock, in meters, x seconds after it falls from a cliff

Mathematics

2 answers:

nasty-shy [4]1 year ago

8 0

The vertical numbers are the distance and the horizontal numbers are the time in seconds.

Look at where the line is located at the number 20.

It si between the 2 and the 3 on the horizontal line, but you can see it is closer to the 2 than it is the 3, so the time would be 2.2s

True [87]1 year ago

6 0

Answer:

2.2 seconds

Step-by-step explanation:

The attached graph shows the height of a rock after it falls from a cliff. Let after t seconds the rock is 20 meters from the ground.

If the graph is not given we can calculate the time using the second equation of motion i.e.

$d=ut+\dfrac{1}{2}at^2$

Where

u is the initial speed of the rock

a is the acceleration of the rock

t is the time taken

Here, distance covered is in y axis and the time taken is in x axis. Approximately, at 2.2 seconds the rock is 20 meters above the ground. Hence, this is the required solution.

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Part A: Angle R is not a right angle.

Part B; Angle GRT' is a right angle.

Step-by-step explanation:

Part A:

From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).

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$m=\frac{y_2-y_1}{x_2-x_1}$

The product of slopes of two perpendicular lines is -1.

Slope of GR is

$\text{Slope of GR}=\frac{1-5}{-3-(-6)}=\frac{-4}{3}$

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$\text{Slope of RT}=\frac{6-1}{2-(-3)}=\frac{5}{5}=1$

Product of slopes of GR and RT is

$\frac{-4}{3}\times 1=\frac{-4}{3}\neq -1$

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.

Part B:

If vertex T translated by rule

$(x,y)\rightarrow(x-1,y-2)$

Then the coordinates of T' are

$(2,6)\rightarrow(2-1,6-2)$

$(2,6)\rightarrow(1,4)$

Slope of RT' is

$\text{Slope of RT'}=\frac{4-1}{1-(-3)}=\frac{3}{4}$

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Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.

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1 year ago

A population that consists of 500 observations has a mean of 40 and a standard deviation of 15. A sample of size 100 is taken at

Alex17521 [72]

Answer:

<h3>The option D) 1.50 is correct</h3><h3>That is the standard error of the sample mean is 1.50</h3>

Step-by-step explanation:

Given that a population that consists of 500 observations has a mean of 40 and a standard deviation of 15.

A sample size is 100 taken at random from the given population.

<h3>To find the standard error of the sample mean :</h3>

From the given Mean=40 and $\sigma =15$

For N=100

<h3>The formula for standard error is $SE_{mean}=\frac{\sigma}{\sqrt{N}}$ </h3>

Substitute the values in the above formula we get

$SE_{mean}=\frac{15}{\sqrt{100}}$

$=\frac{15}{10}$

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∴ $SE_{mean}=1.50$

<h3>∴ The standard error of the sample mean is 1.50</h3><h3>Hence the option D) 1.50 is correct</h3>

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