Answer:
<h3>-5(2q - 3)</h3>
Step-by-step explanation:

Answer:
The area of rectangle C is 2
Step-by-step explanation:
Using a scale factor of
yields the side lengths of 1 and 2

Answer:
(a) 4.98x10⁻⁵
(b) 7.89x10⁻⁶
(c) 1.89x10⁻⁴
(d) 0.5
(e) 2.9x10⁻²
Step-by-step explanation:
The probability (P) to find the particle is given by:
(1)
The solution of the intregral of equation (1) is:
(a) The probability to find the particle between x = 4.95 nm and 5.05 nm is:
(b) The probability to find the particle between x = 1.95 nm and 2.05 nm is:
(c) The probability to find the particle between x = 9.90 nm and 10.00 nm is:
(d) The probability to find the particle in the right half of the box, that is to say, between x = 0 nm and 50 nm is:
![P=\frac{2}{100} [\frac{X}{2} - \frac{Sin(2\pi x/100)}{4\pi /100}]|_{0}^{50.00} = 0.5](https://tex.z-dn.net/?f=%20P%3D%5Cfrac%7B2%7D%7B100%7D%20%5B%5Cfrac%7BX%7D%7B2%7D%20-%20%5Cfrac%7BSin%282%5Cpi%20x%2F100%29%7D%7B4%5Cpi%20%2F100%7D%5D%7C_%7B0%7D%5E%7B50.00%7D%20%3D%200.5%20)
(e) The probability to find the particle in the central third of the box, that is to say, between x = 0 nm and 100/6 nm is:
I hope it helps you!
Answer:
length: 12m
width: 2m
Step-by-step explanation:
24 = a*w
a = w+10
then:
24 = (w+10)w
24 = w*w + 10*w
24 = w² + 10w
0 = w² + 10 - 24
w = {-10±√((10²)-(4*1*-24))} / (2*1)
w = {-10±√(100+96)} / 2
w = {-10±√196} / 2
w = {-10±14} / 2
only positive numbers:
w = {-10+14}/2
w = 4/2
w = 2m
a = w+10
a = 2 + 10
a = 12m
Check:
24 = 12*2