The correct answer is Option (D). The subtraction property of equality asserts that whatever is subtracted from one side of an equation must also be subtracted from the other side. In the instance where x + 2 = 2, applying this property leads to: x + 2 - 2 = 2 - 2, simplifying to x = 0. However, the provided question displays the addition property of equality utilized in step 2, indicating that the subtraction property was not applied there. Consequently, Option (D) is the correct response.
Answer: All real numbers except for x ≠ 7 and those x for which f(x)≠-3
Step-by-step explanation:
The domain of function f is defined as R - {7}
In other words, if x belongs to the domain of f,
then, x cannot equal 7
(gof)(x) = g(f(x))
Considering that g has a domain of R - {-3}
Therefore, if f(x) fits within the domain of g,
it follows that f(x)≠ -3
Consequently, the fourth option is the right choice.
Respuesta:
(a) 4.98x10⁻⁵
(b) 7.89x10⁻⁶
(c) 1.89x10⁻⁴
(d) 0.5
(e) 2.9x10⁻²
Explicación paso a paso:
La probabilidad (P) de encontrar la partícula está dada por:
(1)
La solución de la integral de la ecuación (1) es:
(a) La probabilidad de encontrar la partícula entre x = 4.95 nm y 5.05 nm es:
(b) La probabilidad de encontrar la partícula entre x = 1.95 nm y 2.05 nm es:
(c) La probabilidad de encontrar la partícula entre x = 9.90 nm y 10.00 nm es:
(d) La probabilidad de encontrar la partícula en la mitad derecha de la caja, es decir, entre x = 0 nm y 50 nm es:
![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) La probabilidad de encontrar la partícula en el tercio central de la caja, es decir, entre x = 0 nm y 100/6 nm es:
Espero que te ayude.
If Ralph allocated $180 rather than the intended $175 for entertainment, he spent $35 for each date and let's denote "x" as the number of dates he attended. He also spent $15 when going out with friends, where "y" represents his outings with friends.
The accurate equation is "B" which is 35x + 15y = 180.