Answer:
TRUE
Step-by-step explanation:
A complex number is represented as z = x + iy
Given the complex number -5i, this can also be written as;
z = 0-5i
Get the modulus
|z| = √0²+(-5)²
|z| = √25
|z| = 5
Get the argument
theta = arctan(y/x)
theta = arctan(-5/0)
theta = arctan(-∞)
theta = -90degrees
Since tan is negative in the 2nd and fourth quadrant
in the fourth quadrant, theta - 360 - 90
theta = 270 degrees
Express in polar form;
z = |z|(cos theta + i sintheta)
z = 5(cos270°+ison270°)
Hence the statement given is TRUE
Well in order to solve the first one you would want to find things in the numerator and the denominator that are similar; such as 9x and 15x, or 2x squared and x square. Then you should divide the numbers
<u>Both Parts
</u><u />First, we need to know what the price is 50% off. To find this, we just need to multiply 49.99 by 50%'s decimal value (0.5).
<u>
</u><u />49.99
<u>x .5
</u><u />≈25.00<u>
Part A
</u><u />To find sales tax, we should multiply the number by the percent's decimal value. In this case, it is an 8% sales tax, which has a decimal value of 0.08.
<u>
</u><u />25.00
<u>x0.08
</u><u /><u /> 0002
Using the math above, we can see that the sales tax was $2.00.
<u>Part B
</u><u /><u />To solve for this, we need to add the sales tax back to the original price.
25.00
<u>+2.00</u>
27.00
Using the math above, we can see that the total price for the headphones is $27.00.
D. Hours(cost)=$200 because think about the hours and how long it will take to get it done
