Answer:
For f(x) = 2x + 3 and g(x) = -x 2 + 1, find the composite function defined by (f o g)(x)
(f o g)(x) = f(g(x))
= 2 (g(x)) + 3
= 2( -x 2 + 1 ) + 3
= - 2 x 2 + 5 Given f(2) = 3, g(3) = 2, f(3) = 4 and g(2) = 5, evaluate (f o g)(3)
Step-by-step explanation:
Using the following equation is how you translate degrees Fahrenheit to Kelvin:
Kelvin = (Fahrenheit + 459.67) * 5 / 9<span>
or you could use:
</span>
Kelvin = (Fahrenheit - 32) * 5 / 9 + 273.15<span> </span>
Answer:
the question is incomplete, so I looked for a similar one:
<em>After the release of radioactive material into the atmosphere from a nuclear power plant, the hay was contaminated by iodine 131 ( half-life, 8 days). If it is all right to feed the hay to cows when 10% of the iodine 131 remains, how long did the farmers need to wait to use this hay? </em>
iodine's half life (we are given x, we need to find b):
0.5A₀ = A₀eᵇˣ
x = 8 days
we eliminate A₀ from both sides
0.5 = eᵇ⁸
ln 0.5 = ln eᵇ⁸
-0.69315 = b8
b = -0.69315 / 8 = -0.08664
since the farmers need to wait until only 10% of the iodine remains (we already calculated b, now we need to find x):
0.1A₀ = A₀eᵇˣ
0.1 = eᵇˣ
ln 0.1 = bx
where b = -0.08664
x = ln 0.1 / -0.08664 = -2.302585 / -0.08664 = 26.58 days
There are 2 parts to this question. 1. One would be to calculate the interest based on your balance and 2. then to add the late fee. Use the formula i = prt to calculate your simple interest. <em>i</em> represents the interest you will pay, <em>p</em> stands for the principal (balance on your credit card), and <em>t</em> stands for the period of time (related to a period of a year/annual percentage rate). The $1998 balance times 0.145 times 1/12 gives the interest amount of $24.14. So, $1998 + $24.14 + $37 = $2059.14 balance.
Answer:
It is not horizontal nor vertical, but it is stretched by 6
Step-by-step explanation:
