The apple dropping on the ground is an illustration of free fall.
It takes the apple 1.53 seconds to hit the ground
Given
When the apple hits the ground, we have:
Substitute in
Collect like terms
Solve for t
Approximate
Hence, the apple hits the ground after 1.53 seconds
Read more about free falls at:
Answer:
around 1.5 sec
Step-by-step explanation:
basically you wanna figure out at what time is the height=0
since h(t) represents height, set it to 0 then solve for t
i believe you might have forgotten the t in the equation so i assumed it was -167t
0=-167t+256
-256=-167t
t=1.53293413174
around 1.5 seconds after it was dropped
alternatively, you could plug the equation into desmos, replacing h(t) with y and t with x and find the x intercept
10 feet
B.
3 feet
C.
50 feet
D.
35 feet
correlation and causality
voluntary response
missing data
loaded question
Last year, the average math SAT score for students at one school was 475. The headmaster then introduced a new teaching method hoping to improve scores. This year, the mean math SAT score for a sample of students was 491. The headmaster concluded that the new teaching method produces higher SAT scores. The problem with reporting results this way is voluntary response. The information of how the teaching method isnot mentioned.
Answer: voluntary response
I just took the test and got it right
The image of the assumed point Q(2, 3)) under the translation is Q'(-1, 7).
Translation is a type of transformation of geometrical figures. After translation, the original figure is shifted from a place to another place without affecting it's size.
Translation of a point (x, y) indicates that the point is moved x units along the X axis and y units along the Y axis,
Here we have to translate the point Q(2, 3).
Point (x, y) is translated as (x - 3, y + 4).
That is the point (x, y) moves 3 units to the left along the X axis and 4 units upwards along the Y axis.
Q(2, 3) after the translation becomes,
Q'(2 - 3, 3 + 4) = Q'(-1, 7)
Hence the point Q(2, 3) under the translation (x - 3, y + 4) is the point Q'(-1, 7).
To learn more about Translation, click on the link :
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The image of point Q under the translation (x, y) -> (x - 3, y + 4) is Q'(-8, 8)
Given data:
A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.
The point is represented as Q ( -5 , 4 ).
To find the image of point Q(-5, 4) under the translation (x, y) + (x - 3, y + 4), we simply apply the translation vector (x - 3, y + 4) to the coordinates of point Q.
New x-coordinate = x - 3 = -5 - 3 = -8
New y-coordinate = y + 4 = 4 + 4 = 8
Hence, the image of point Q(-5, 4) under the given translation is Q'(-8, 8).
To learn more about translations, refer:
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The complete question is attached below:
Plot the image of point Q ( -5 , 4 ) under the translation (x, y) + (x - 3, y + 4).
Answer:
18.75%
Step-by-step explanation:
The probability of the coin is 1/2, because it only has two options (tail or head).
Now, in the case of roulette, it has a total of 8 options, and the red region has 3 parts, that is, of the 8 options, roulette 3 is red, therefore the probability is 3/8
Now the final probability is the multiplication of the probability of both events:
(1/2) * (3/8) = 0.1875s 18.75%
In other words, the probability of these two events happening, that the tail comes out and is red, i