Answer: Simplifying the expression of the substraction of the two complex numbers we get 11-2i
Solution:
(5-5i)-(-6-3i)
Eliminating the parentheses: 5-5i+6+3i
Grouping similar terms: (5+6)+(-5+3)i
Adding the similar terms: 11+(-2)i = 11-2i
Answer:
The time it takes for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.
Step-by-step explanation:
Given the equation
-----------Equation 1
where d, in inches of the pendulum of a grandfather clock from the center.
Comparing with the standard equation of an oscillating pendulum bob.
----------Equation 2
where ω = angular velocity
t = time taken
α = The angular displacement when t = 0
Comparing equation 1 and 2,
α = 0

Recall that
[/tex]
f = 0.8 Hertz
Recall that 

T = 1.25 seconds
Therefore, the time it takes for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.
we know that
If the only factors a polynomial are
and itself, then that polynomial is prime.
so
If the polynomial has at least one root (one x-intercept) then the polynomial is not prime
Using a graph tool
<u>case 1) </u>

see the attached figure N 1
The polynomial has one root-------> the polynomial is not prime
<u>case 2) </u>

see the attached figure N 2
The polynomial has three roots-------> the polynomial is not prime
<u>case 3) </u>


see the attached figure N 3
The polynomial has zero roots-------> the polynomial is prime
<u>case 4)</u>


see the attached figure N 4
The polynomial has two roots-------> the polynomial is not prime
therefore
<u>the answer is</u>
------> is prime
Answer:
$300 was deducted from tax. The tax rate is 26.1%
Step-by-step explanation:
An employee earns a gross pay of $1,200.00 per week. The employee’s net pay is $850.00. The employee’s voluntary 401(k) contribution is $50.00 per month.
There was blank deducted for taxes. The tax rate is blank
Solution:
Contributions that are made for retirement such as 401(k) contribution plans are made on a pretax basis. This means that they are removed from your taxable income, thereby reducing the tax.
Gross pay = $1200
Taxable income = Gross pay - 401(k) contribution
Taxable income = $1200 - $50 = $1150
Net pay = $850
Tax = Taxable income - Net pay
Tax = $1150 - $850
Tax = $300
Tax rate = (Tax / taxable income) * 100%
Tax rate = ($300 / $1150) * 100% = 26.1%
Answer: b. 1.94
Step-by-step explanation:
For binomial distribution model , the formula to find standard deviation is given by :-

Given : The portability that the offices she visits will eventually purchase her product: p=0.25
The number of offices she visited = 20
We assume that the binomial is an appropriate model for the number of offices that make a purchase.
Then, to find the distance of the possible number of sales Tina could observe from the overall mean number of sales we find standard deviation.

Hence, the correct answer is option (b).