The ratio of 9 and 30 is 3:10 when simplified
Answer: We know that an "exponential growth" is that where a function start growing slowly and after start increasing more quickly.
a "logarithmic growth" is the opposite of this, at first you will see a quick increase, that after some time gets slower.
But in this case we are searching for decays: The decays are the opposite of the growths, an "logarithmic decay" starts slow and gets faster latter, and an "exponential decay" decreases very quickly at first, and latter more slowly.
Then, the model for the temperature of the hot tea over the time is a "exponential decay", this is a function of the form T(x) = T₀
, where T₀ is the initial temperature, t is the time, and k is a constant number.
<h3>
Answer: B. x = 6</h3>
==========================================================
Explanation:
Since the vertical lines are parallel, this means the alternate exterior angles shown are congruent.
Set them equal to each other and solve for x.
15(x+2) = 120
15x+30 = 120
15x = 120-30
15x = 90
x = 90/15
x = 6
Or we could have the steps like this
15(x+2) = 120
x+2 = 120/15
x+2 = 8
x = 8-2
x = 6
Q + d = 16....q = 16 - d
0.25q + 0.10d = 3.10
0.25(16 - d) + 0.10d = 3.10
4 - 0.25d + 0.10d = 3.10
-0.25d + 0.10d = 3.10 - 4
-0.15d = -0.90
d = -0.90/-0.15
d = 6...dimes
q + d = 16
q + 6 = 16
q = 16 - 6
q = 10...quarters
so there are (10 - 6) = 4 more quarters then dimes