Answer: year 2194
Explanation:
1) Model the jump of the women:
i) initial jump = 70.0 in
ii) increase rate = 0.48% per year
iii) equation: h = 70.0(1 +0.0048)ⁿ
2) Model the jump of the men:
i) initial jump 86.5 inches.
ii) increase rate, 0.4%.
iii) equation: h = 86.5 (1 + 0.004)ⁿ
3) Equal the two equations (h = h) to find when the jumps will be equal:
i) 70.0(1 +0.0048)ⁿ = 86.5 (1 + 0.004)ⁿ
ii) 70.0(1.0048)ⁿ = 86.5 (1.004)ⁿ
ii) [1.0048ⁿ / 1.004ⁿ] = 86.5/70.0
iii) [1.0048/ 1.0040]ⁿ = 86.5/70.0
iv) n log (1.0048 / 1.0040) = log ( 86.5/70)
v) n = log (86.5/70) / log (1.0048/1.0040) ≈ 266
3) year = 1928 + 266 = 2194
That is in the year 2194
Answer:
5x - 2y = -2
Step-by-step explanation:
-2x - (-7x) = -2x + 7x = 5x
y - 3y = -2y
0 - 2 = -2
BBBBBBB.....................................
The coordinates of triangle U'V'W' include U'(8, 3), V'(4, -8) and W'(-8, -6) and this is represented by graph A shown in the image attached below.
<h3>What is a transformation?</h3>
A transformation can be defined as the movement of a point on a cartesian coordinate from its original (initial) position to a new location.
<h3>The types of transformation.</h3>
In Geometry, there are different types of transformation and these include the following:
Based on the information provided, triangle UVW would be rotated counterclockwise through an angle of 270 degree at origin to produce triangle U'V'W', we have:
![\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%5C%5C-1%260%5Cend%7Barray%7D%5Cright%5D)
Therefore, the image of triangle UVW would be given by this matrix:
![\left[\begin{array}{ccc}-3&8&6\\8&4&-8\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%268%266%5C%5C8%264%26-8%5Cend%7Barray%7D%5Cright%5D)
Image = ![\left[\begin{array}{ccc}8&4&-8\\3&-8&-6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D8%264%26-8%5C%5C3%26-8%26-6%5Cend%7Barray%7D%5Cright%5D)
Based on the image above, we can logically deduce that the coordinates of triangle U'V'W' include U'(8, 3), V'(4, -8) and W'(-8, -6) and this is represented by graph A shown in the image attached below.
Read more on transformations here: brainly.com/question/12518192
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