MATHEMATICS HIGH SCHOOL

Which expression is equivalent to (8-3i)-(2-91)?Ο Α. 18-6i
OB. 11 +78
O C. 6-12i
O D. 6+6i

Answers

Answer 1
Answer:

Answer:

the correct answer is option B.

Step-by-step explanation:

First, we need to combine the terms inside the parentheses.

This gives us (8-3i)-(2-9i), or (8-3i)-(-2+9i).

We can then use the additive inverse property to simplify this to (8-3i)+2+9i, which is equal to (11+6i). Therefore, the correct answer is option B.

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Simplify the expression below as much as possible.(7-6i) + (-1 + 4i) -(4-7i) A. 10 + 5i B. 2 - 9i C. 10-9i D. 2 +5i

A boat costs $19,200 and decreases in value by 12% per year. How much will the boat be worth after 5 years?

Answers

Find 10% of $19,200 = 1,920
Find 2% of $1,920 = 384
12% = $2,304
19,200 - 2,304 = 16,896 (year 1)
Repeat this until you have your 5th year :)

Jose has an employer-sponsored 401(k) plan that he contributes to, and his employer matches 25% of his contributions. Jose's salary is $50,000, and last year he contributed $6000 to his 401(k) plan. What was the total amount that was contributed to his 401(k) last year?

Answers

Given:
50,000 salary 
6,000 401K plan contribution of the employee
25% of employee's contribution is the 401K plan contribution of the employer.

6,000 x 25% = 1,500 employer's contribution
6,000 + 1,500 = 7,500

The total amount that was contributed to Jose's 401K plan last year was 7,500.

One side of a regular octagon is 4 inches long. What is the length of another side of the octagon?32 inches
8 inches
4 inches
can't be determined

Answers

The length of the other side is 4 inches and total length is 32 inches , Option C is the answer.

What is a Regular Octagon ?

A regular octagon is a polygon with eight sides and all the sides are equal.

It is given that side of a regular octagon is 4 inches

The length of the other side will also be 4 inches

The total length or the perimeter of the regular octagon is

4*8

= 32 inches

Therefore the length of the other side is 4 inches and total length is 32 inches , Option C is the answer.

To know more about Octagon

brainly.com/question/12744685

#SPJ2
A regular octagaon has 8 equal sides 

so it only makes sense to say that the other side of an octagon would be 4 inches too!

But  if you want to know the total length,  multiply 8 x 4 = 32 inches!  
BUT THIS IS ONLY IF ITS A REGULAR OCTAGON 

otherwise it can't be really determined since I don't know its symmetry or the angles!!


Hope I answered your question! :)

Two dice are tossed together. What is the probability of getting an odd number on the second die and a total of five?1/18

11/18

7/18

4/9

Answers


Probability = (number of ways to succeed) / (total possible outcomes) .

The total possible results of rolling two dice is

   (6 on the first cube) x (6 on the second one) = 36 possibilities.

How many are successful ?  I need you to clarify something first.
You said that the 'second die' shows an odd number.  When a pair
of dice is rolled, the problem usually doesn't distinguish between them. 
And in fact, you said that they're "tossed together" (like a spinach and
arugula salad ?) so I would understand that they would lose their identity
unless they were, say, painted different colors, and we wouldn't know
which one is the second one.

Oh well, I'll just work it both ways:

First way: 
Two identical dice are tossed.
The total is 5 and ONE cube shows an odd number.

How can that happen ?

1 ... 4
4 ... 1
3 ... 2
2 ... 3         

Four possibilities.  Probability = 4/36 = 1/9 = 11.1% .

=======================================

Second way: 
A black and a white cube are tossed together.
The total is 5 and the white cube shows an odd number.

How can that happen:

B ... W
4 .... 1
2 .... 3

Only two possibilities.  Probability = 2/36 = 1/18 = 5.6% .

What is the value of k ?

Answers

120 hope this helps ;)

What is the equation of the line, in general form, that passes through the point (1, 1) and has a y-intercept of 2

Answers

The\ slope-intercept\ form:y=mx+b\n\ny-intercept\ is\ 2\ then\ y=mx+2\n\nThe\ point\ (1;\ 1)\to substitute\ x=1\ and\ y=1:\n\nm\cdot1+2=1\nm+2=1\nm=1-2\nm=-1\n\nFinish:y=-1x+2\to y=-x+2\n\nGeneral\ form:x+y-2=0
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