Answer:
8.1 hours
Step-by-step explanation:
A model of the fraction remaining can be ...
f = (1/2)^(t/37) . . . . t in hours
So, for the fraction remaining being 86%, we can solve for t using ...
0.86 = 0.5^(t/37)
log(0.86) = (t/37)log(0.5)
t = 37·log(0.86)/log(0.5) ≈ 8.0509 ≈ 8.1 . . . hours
It takes about 8.1 hours to decay to 86% of the original concentration.
Answer:
The value of x for the given expression is
Step-by-step explanation:
Given as :
The statement is , three fourths times x plus five fourths equals four times x
So,
× x +
= 4 × x
<u>Now, rearranging the equation</u>
i.e 4 x -
× x =
Or, 4 x -
=
Or,
=
Or,
=
Or, 13 x =
× 4
Or, 13 x = 5
∴ x = 
Hence, The value of x for the given expression is
Answer
General exponential equation
y = A(1+r)^x
where
A = initial value
r = rate increase (+) or decrease (-)
x = time period of the change
y = projected value
y = 300(1.05)^x
in this problem, x = years after 2017
we want to find an x that makes the value more than or equal to 650
650 <= 300(1.05)^x
Let the distance be d
Using pythagorean theorem,



d ≈ 119
The player ran for
119 meters