The relationship between Aaden and the tree's height is an illustration of equivalent ratio
The height of the tree is 2.00 meters
At 11 a.m, we have:



So, we make use of the following equivalent ratio

This gives

Express as fractions

Multiply both sides by 1.75


Hence, the height of the tree is 2.00 meters
Read more about equivalent ratios at:
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Answer:
all work is shown and pictured
Answer:
6554
Step-by-step explanation:
The sequence 2, -8, 32, -128 has a first term (a1) of 2 and a common ratio (r) of -8/2 = -4. The sum of n terms is given by ...
Sn = a1·(r^n -1)/(r -1)
For your sequence, the sum of 7 terms is ...
S7 = 2·((-4)^7 -1)/(-4-1) = 2(-16384/-5) = 6554
The sum of changes after the 7th day is 6554.
Answer:
x = - 13, x = - 3
Step-by-step explanation:
Given
x² + 16x = - 39
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(8)x + 64 = - 39 + 64
(x + 8)² = 25 ( take the square root of both sides )
x + 8 = ±
= ± 5 ( subtract 8 from both sides )
x = - 8 ± 5, thus
x = - 8 - 5 = - 13 or x = - 8 + 5 = - 3