The answer is 9x^3-6x^2+3x
3*2 is 6 6*2 is 12 12*2 is 24 24*2 is 48 48*2 is 96 96*2 is 192 and 192*2 is 384
Step-by-step explanation:
a. the angle B in triangle ABC:
180-47=133°
angle C in ABC:
180-(40+133)=7°
using sine rule:
a/sin A= b/sin B= c/sin C
50/sin 7= BC/sin 40
BC= (50*sin40)/ sin7
=263.7 m
b.sin 47= opposite/hypotenuse
sin 47= CD/263.7
CD= sin 47*263.7
= 192.9
Based on the estimated number of defective batteries and the number of batteries that were actually defective, the percent error of Jake's estimate is 20%
<h3>How to find the percent error?</h3>
The percent error of a problem can be found by the formula:
= (Expected results - Actual results) / 100%
Expected results = 12 defective batteries
Actual results = 10 defective batteries
Jake's percentage error is therefore:
= (12 - 10) / 100%
= 2 / 10 x 100%
= 0.2 x 100%
= 20%
In conclusion, the percent error of Jake's estimate is 20%.
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Answer:
The repulsive force is 
.
Step-by-step explanation:
Consider the provided information.
The coulomb's law to calculate the repulsive force: 
Where the value of k is 9.00×10⁹ Nm²/C²
Substitute the respective values in the above formula.
![F=\frac{9\times10^9\frac{N\cdot m^2}{c^2} \times(-24\times10^{-9}C)^2}{[(13 cm)(\frac{1m}{100cm} )]^2}](https://tex.z-dn.net/?f=F%3D%5Cfrac%7B9%5Ctimes10%5E9%5Cfrac%7BN%5Ccdot%20m%5E2%7D%7Bc%5E2%7D%20%5Ctimes%28-24%5Ctimes10%5E%7B-9%7DC%29%5E2%7D%7B%5B%2813%20cm%29%28%5Cfrac%7B1m%7D%7B100cm%7D%20%29%5D%5E2%7D)
Hence, the repulsive force is .
