Answer:
m = 21 - 72·i can be represented as an ordered pair = (21, -72)
Step-by-step explanation:
When graphing complex numbers, we employ the same approach used for graphing real numbers on the coordinate plane, integrating the Argand plane to create the complex coordinate plane. Here, with a complex number expressed as a + bi, the real part, a, corresponds to the x-coordinate, while the imaginary part, b, is the y-coordinate.
To depict the complex number as an ordered pair, we can state;
a + bi is equivalent to (a, b)
Thus;
Writing the complex number m = 21 - 72·i as an ordered pair in the Argand diagram results in;
m = 21 - 72·i as an ordered pair = (21, -72).
75 + 55x ≤ 350
Step-by-step explanation:
- Dado que no conocemos el número de trabajadores que se les paga $55 por día, asignamos el valor desconocido como x. Entonces, el total que se está pagando a los trabajadores es;
55x
- El total gastado, en $, por día (incluyendo el costo de operación) será;
75 + 55x
- Según la ecuación, el máximo que el contratista puede gastar en un día en costos operativos y nómina es de $350. Por lo tanto, 75 + 55x no puede exceder 350 pero puede ser igual o menor que;
75 + 55x ≤ 350
Learn More:
A total of 340,000 cattle were placed on feed
What portion of the 340,000 cattle placed on feed fell within the weight range of 700 to 799 pounds?
The fraction representing the total cattle weighing 700 - 799 pounds is 2/5
Let x denote the count of cattle within the 700 - 799 pound range
We can set up a proportion using this fraction
We cross-multiply to solve for x
340000 * 2 = 5x
680000 = 5x
Dividing both sides by 5 gives us
Thus, x= 136,000
So, there are 136,000 cattle in the weight bracket of 700 and 799 pounds
The correct answer is:
She can ascertain that while there exists an association between the variables, a correlation does not exist, and causation cannot be established.
Explanation:
Due to the arch shape of her graph, it indicates that as one variable varies, the other also changes. This indicates an association exists between these variables.
Nonetheless, given that the graph does not follow a linear pattern, no correlation can be claimed. As there is no correlation, causation cannot be determined.
3 students. Step-by-step breakdown: In Mrs. Woodward's class, there are 30 students. One-fifth have their own cell phones, meaning 6 students in total. Out of these, half are permitted to use social media, leading to a total of 3 students allowed access to social media.
