Answer:
The solution of the equation is 
⇒ 3rd answer
Step-by-step explanation:
* Lets explain how to solve this problem
- The function f(x) = e^x is called the (natural) exponential function
- The natural logarithm (㏑), or logarithm to base e, is the inverse
function to the natural exponential function
∵ 
is an exponential function
∴ We can solve it by using the inverse of e (㏑)
- Remember:
# 
# 
- Insert ln in both sides
∴ 
∵ 
∴ 2x + 5 = ㏑(4)
- Subtract 5 from both sides
∴ 2x = ㏑(4) - 5
- Divide both sides by 2 to find x
∴ 
* The solution of the equation is
Answer:
Step-by-step explanation:
Lewis Latimer was a trully brillaint man, a<span>lthough he did not have an easy life in his early years, he always thought of innovation, helping others and surpassing himself.
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There are so many adjectives we can use to describe this man, some of them are:
1. Self-taught (Although he had to interrupted his studies and attended only elementary school, he had a great interest in learning and this motivated him to study for himself. Mechanical drawing was one of the things he learned for himself, which led to him to be recognized by his co-workers and his superiors in the patent law office of Crosby and Gould).
2. Inventor (He designed many things, one of them was an electric lamp with a carbon filament).
3. Pioneer (He was part of the group of Thomas Edison, called: "Pioneer of Edison". Latimer also helped with the patent of the telephone and the light bulb).
4. Philanthropist (He always though on helping people around him).
B. The answer would be B because inscribed means inside the circle. All the points in the angle touch the side of the circle.
Hope I could help!!!!!
Good luck!!!!
Answer 1
By definition of the coulomb law we have that the force between two charges is given by
F12 = K (q1 * q2) / (r ^ 2)
where
K = 9 * 10 ^ 9 [N.m ^ 2 / C ^ 2] (constant)
q1 = load 1 [C]
q2 = load 2 [C]
r = distance between charges [m]
Substituting the values we have
F12 = (9000000000) * ((- 2.10E-06) * (6.70E-06) / ((0.067) ^ 2))
F12 = -28.2N
answer 2
In this case the value of r will be given by
ROOT ((0.067) ^ 2 + (0.028) ^ 2) = 0.0726 m
Then, the net force will be given by
F12 = (9000000000) * ((- 2.10E-06) * (6.70E-06) / ((0.0726) ^ 2))
F12 = -24.01
The horizontal component of this force is
F12x = F12 (x / r) = - 24.01 (0.067 / 0.072)
F12x = -22.2N
The answer is -22.2N
answer 3
For this case we have by sum of forces that
F2N = F12 + F32
where
F2N = 8,005 N
F12 = -24.01 N
Clearing F32
F32 = F2N + F12 = (8.005) - (- 24.01) = 32.01N
Then, by definition
F32 = K (q2 * q3) / (r ^ 2)
clearing q3
q3 = (F32 (r ^ 2)) / (K * q2)
substituting
q3 = ((32.01) ((0.0726 / 2) ^ 2)) / ((9000000000) * (6.70E-06))
q3 = 1.4E-06 C
the answer is 1.4E-06 C (+)
