Answer:
n = 2* ![10^{12}](https://tex.z-dn.net/?f=10%5E%7B12%7D)
Step-by-step explanation:
(4.8 *
)n = 9.6 * ![10^{9}](https://tex.z-dn.net/?f=10%5E%7B9%7D)
Divide both sides by (4.8 *
)
(4.8 *
) / (4.8 *
) n = 9.6 *
/ 4.8 * ![10^{-3}](https://tex.z-dn.net/?f=10%5E%7B-3%7D)
n = 9.6 *
/ 4.8 * ![10^{-3}](https://tex.z-dn.net/?f=10%5E%7B-3%7D)
n = 9.6/4.8 *
/ ![10^{-3}](https://tex.z-dn.net/?f=10%5E%7B-3%7D)
n = 2 * ![10^{9 - (-3)}](https://tex.z-dn.net/?f=10%5E%7B9%20-%20%28-3%29%7D)
n = 2* ![10^{12}](https://tex.z-dn.net/?f=10%5E%7B12%7D)
Equation
Total = movies plus songs.
Givens
Total = 100
Movies = 48.4
Songs Cost = x
Number of Songs = 40
Solve
100 = 48.4 + 40x Subtract 48.4 from both sides.
100 - 48.4 = 40x
51.6 = 40x Divide by 40
51.6 / 40 = x
1.29 = x
Conclusion
Each song cost $1.29
<em>R(x)</em> is a polynomial of degree 7, so it has up to 7 distinct complex roots <em>r</em>₁, ..., <em>r</em>₇, and we can write it in terms of these roots as
<em>R(x)</em> = (<em>x</em> - <em>r</em>₁) (<em>x</em> - <em>r</em>₂) ... (<em>x</em> - <em>r</em>₇)
The coefficients of <em>R(x)</em> are all real, so the roots must all be complex numbers, and any of these roots with non-zero imaginary parts must occur along with their complex conjugates. This means if <em>a</em> + <em>b</em> <em>i</em> is a root, then is <em>a</em> - <em>b</em> <em>i</em> is also a root.
(a) We're told that -5 - 3<em>i</em> and 2<em>i</em> are roots to <em>R(x)</em>, so we also know that -5 + 3<em>i</em> and -2<em>i</em> are roots.
There are 4 roots accounted for, leaving us with 3 unknown roots. These roots cannot all be non-real, because we can only count 2 of them as a conjugate pair. So we can have either
(b) at most 3 real roots, or
(c) at most 2 non-real roots and 1 real root.
16 dollars each because you do 8x5 which equals 40 and do 168-40 which equals 128 / 8 equals 16
Answer:
1. Rate of change is -5 every step.
2. Rate of change is -5 feet every one hour.
3. Inital water level is 30 ft
Step-by-step explanation: