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Colt1911 [192]
3 years ago
9

Simplify (7-8i)+(-12-4i)

Mathematics
2 answers:
Lelechka [254]3 years ago
6 0

7-8i-12-4i

(combine the like terms)

-5-12i

Nutka1998 [239]3 years ago
4 0
(7-8i)+(-12-4i)

=7-8i-12-4i

=-5-12i
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a cd usally sells for 17.00 if the CD is 30% off and the sales tax is 8% what is the total price of the CD including tax
Ksenya-84 [330]

Answer:

$12.85

Step-by-step explanation:

First we need to find the sale price of the CD

Sale price = old price - old price * discount rate

                 = 17 - 17* .3

                 = 17 - 5.1

                 = 11.9

The sale price of the CD is 11.90

Now we need to find the tax

tax = sale price of cd * tax rate

      = 11.9 * .08

      = .95


The final cost of the CD is  sale price of CD plus the tax

Total cost = sale price of CD + tax

                 = 11.90 + .95

                    =12.85

3 0
3 years ago
Can someone help me fast thanks so much i need help on this math problem thanks again:)
azamat
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+14.2  =  42.2 could i plz get a brainleist  i really need it
8 0
3 years ago
.01 meter or 1/100 meter =<br><br> A. decimeter<br> B. centimeter<br> C. millimeter
tamaranim1 [39]

There are

100 Centemeters in a meter, and you would need 100 (1/100)'s to make 1.  The answer is centimeters.

6 0
3 years ago
Read 2 more answers
a password to a computer consists of 6 characters: a digit, a letter, a digit, a letter, a digit, and a letter in that order, wh
MrRa [10]

As per the concept of probability, there are 4,717,440 number of passwords are possible.

Probability:

In statistics, probability refers the favorable outcome of the particular event.

Given,

A password to a computer consists of 6 characters: a digit, a letter, a digit, a letter, a digit, and a letter in that order, where the numbers from 1 through 9 are allowed for digits.

Here we need to find how many different passwords are possible.

Total number of characters = 6

According to this, each password would have

5 digits of 10 digits: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], and

one of 26 letters: [A to Z].

Here there is no repeats are allowed, and assuming only upper case letters are valid and the letter is the last character, then we can form 10*9*8*7*6 * 26 = 786,240 such passwords.

If the repetition is allowed then number of possible passwords is

786,240 * 6 = 4,717,440.

To know more about Probability here.

brainly.com/question/11234923

#SPJ4

4 0
1 year ago
If cos() = − 2 3 and is in Quadrant III, find tan() cot() + csc(). Incorrect: Your answer is incorrect.
nydimaria [60]

Answer:

\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \frac{5 - 3\sqrt 5}{5}

Step-by-step explanation:

Given

\cos(\theta) = -\frac{2}{3}

\theta \to Quadrant III

Required

Determine \tan(\theta) \cdot \cot(\theta) + \csc(\theta)

We have:

\cos(\theta) = -\frac{2}{3}

We know that:

\sin^2(\theta) + \cos^2(\theta) = 1

This gives:

\sin^2(\theta) + (-\frac{2}{3})^2 = 1

\sin^2(\theta) + (\frac{4}{9}) = 1

Collect like terms

\sin^2(\theta)  = 1 - \frac{4}{9}

Take LCM and solve

\sin^2(\theta)  = \frac{9 -4}{9}

\sin^2(\theta)  = \frac{5}{9}

Take the square roots of both sides

\sin(\theta)  = \±\frac{\sqrt 5}{3}

Sin is negative in quadrant III. So:

\sin(\theta)  = -\frac{\sqrt 5}{3}

Calculate \csc(\theta)

\csc(\theta) = \frac{1}{\sin(\theta)}

We have: \sin(\theta)  = -\frac{\sqrt 5}{3}

So:

\csc(\theta) = \frac{1}{-\frac{\sqrt 5}{3}}

\csc(\theta) = \frac{-3}{\sqrt 5}

Rationalize

\csc(\theta) = \frac{-3}{\sqrt 5}*\frac{\sqrt 5}{\sqrt 5}

\csc(\theta) = \frac{-3\sqrt 5}{5}

So, we have:

\tan(\theta) \cdot \cot(\theta) + \csc(\theta)

\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \tan(\theta) \cdot \frac{1}{\tan(\theta)} + \csc(\theta)

\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = 1 + \csc(\theta)

Substitute: \csc(\theta) = \frac{-3\sqrt 5}{5}

\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = 1 -\frac{3\sqrt 5}{5}

Take LCM

\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \frac{5 - 3\sqrt 5}{5}

6 0
3 years ago
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