Answer:
![ln( |1 + u| ) = 7t + \frac{ {t}^{2} }{2} + c](https://tex.z-dn.net/?f=ln%28%20%7C1%20%2B%20u%7C%20%29%20%20%3D%207t%20%2B%20%20%5Cfrac%7B%20%7Bt%7D%5E%7B2%7D%20%7D%7B2%7D%20%20%2B%20c)
Step-by-step explanation:
![integral( \frac{1}{1 + u} )du = \\ integral(7 + t)dt](https://tex.z-dn.net/?f=integral%28%20%5Cfrac%7B1%7D%7B1%20%2B%20u%7D%20%29du%20%3D%20%5C%5C%20%20integral%287%20%2B%20t%29dt)
![ln( |1 + u| ) = 7t + \frac{ {t}^{2} }{2} + c](https://tex.z-dn.net/?f=%20ln%28%20%7C1%20%2B%20u%7C%20%29%20%20%3D%207t%20%2B%20%20%5Cfrac%7B%20%7Bt%7D%5E%7B2%7D%20%7D%7B2%7D%20%20%2B%20c)
A. The theoretical probability of Evan picking red is 1/4. The experimental probability is 1.
B. In theory, Evan has an equal chance of choosing any colored marble. However, he has gotten red every time, so the experimental probability will be 1.
C. The theoretical probability of getting five reds in a row is 1/256
Answer:
<h2>
5</h2>
Step-by-step explanation:
<em>123,4</em><em><u>5</u></em><em>6</em>
Area of a circle is
![\pi r^2](https://tex.z-dn.net/?f=%20%5Cpi%20r%5E2)
804 =
![\pi r^2](https://tex.z-dn.net/?f=%20%5Cpi%20r%5E2)
804 / pi = r^2
r= square root of (804/pi) which is about 16.
The radius is 16, the diameter is 32.
The circumference is 2(pi)r = 32pi
Use the distance formula to find the diameter:
d = sqrt((x2-x1)^2 + (y2-y1)^2)
Diameter = sqrt((-2 - -2)^2 + (-2 - 3)^2)
Diameter = sqrt((0)^2 + -5^2)
Diameter = sqrt(5^2)
Diameter = 5
The radius is half the diameter: 5/2 = 2.5 units