Answer:
<h2>-2√3 + 2√15</h2>
Step-by-step explanation:
√3 (-2+√20) = √3×(-2) + √3×√20
= -2√3 + √3×√(4×5)
= -2√3 + √3×√4×√5
= -2√3 + √3×2×√5
= -2√3 + 2√15
The answer should be 0.5x^4+12.5
She has 50% that she will get heads
Answer:
f(x) = ax + b;
f(0) = -5;
a·0 + b = -5;
b = -5;
f(1) = -3;
a·1 + (-5) = -3;
a - 5 = -3;
a = 5 - 3;
a = 2;
f(x) = 2x - 5;
Step-by-step explanation:
Given:
Nana has a water purifier that filters
of the contaminants each hour.
Water has contaminants = 
To find:
The function that gives the remaining amount of contaminants in kilograms, C(t), t hours after Nana started purifying the water.
Solution:
Let C(t) be the remaining amount of contaminants in kilograms after t hours.
Initial amount of contaminants = 
Decreasing rate is
.
Using the exponential decay model:

where,
is initial amount of contaminants, r is the decreasing rate and t is time in hours.
Substituting the values, we get


Therefore, the required function is
.