MATHEMATICS COLLEGE

Z = 19i + 14 what is the imaginary part
​

Answers

Answer 1
Answer:

Answer:

The imaginary part is:  z = 19

Step-by-step explanation:

For real numbers a and b, a number written in form a+bi is called a acomplex number. The value a is called the real part and b is called the imaginary part of complex number.

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5. You are a packer for Acme Bottling Company. You fill cartons with bottles,seal the cartons, and stack them on pallets. Monday through Friday you are
paid $0.41 for each carton you fill. On Saturday you are paid an additional
$0.21 for each carton you fill. What is your total pay for a week in which you
filled the following number of cartons?
Copyright by The McGraw-Hill Companies, Inc. All rights
Mon.
Tues.
Wed.
Thurs.
Fri.
Sat.
210
175
224
160
216
90

Answers

Answer:

  $459.65

Step-by-step explanation:

The total number of cartons you filled was ...

  210 +175 +224 +160 +216 +90 = 1075

so your pay for filling those is ...

  $0.41 × 1075 = $440.75

You get an additional amount of pay for the cartons filled on Saturday:

  $0.21 × 90 = $18.90

So your pay for the week is ...

  $440.75 +18.90 = $459.65

If the probability that an individual with a Bachelor Degree in Underwater Basket-weaving will be hired in their first 6 months out of college is 59%, what is the probability that an individual with a Bachelor Degree in Underwater Basket-weaving will not get hired in the first 6 months out of college?

Answers

Answer:  The required probability is 41%.

Step-by-step explanation:

Since we have given that

Probability that he will be hired in their first 6 month out of college = 59% = 0.59

So,  we know that

total probability = 100% = 1

Probability that he will not get hired in the first 6 months out of college would be

P(H')=1-P(H)=1-0.59=0.41=41\%

Hence, the required probability is 41%.

How many solutions do these equations have y= 3x+4 y+6=3x

Answers

Answer:

Step-by-step explanation:

hello :

the system is :  y= 3x+4....(*)

                         y+6=3x....(**)

by (**) : y = 3x - 6

so : y= 3x+4

      y= 3x - 6

means :  3x+4 = 3x - 6

                     4= -6.......(false)

conclusion : no reals  solutions

Calculate the perimeter of a rectangle with a length of 17.5 cm and a width of 40 mm in cm

Answers

Answer: 43 cm

Step-by-step explanation:

The perimeter of rectangle is given by :-

P=2(l+w), where l is length and w is width of the rectangle.

Given : The length of rectangle is 17.5 cm and the width is 40 mm in cm.

Since , 1 cm = 10 mm

Then, 40 mm= (40)/(10)\ cm=4\ cm

Then, the  perimeter of rectangle will be :-

P=2(17.5+4)\n\n\Rightarrow\ P=2(21.5)\n\n\Rightarrow\ P=43\ cm

Hence, the perimeter of rectangle = 43 cm

If I buy cart 1 containing 350 pairs of shoes, I buy cart 2 containing 1000 pairs of shoes, what is the ratio of cart 1 to 2.

Answers

Answer:

7:20

Step-by-step explanation:

350:1000

35:100

5:20

Ans 5:20

Answer:

7:20

Step-By-Step Explanation:

Cart 1

350

Cart 2

1000

Ratio

350:1000

and divide both by 5

70:200

and divide both by 10

7:20

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The cube of a number is less than five times the square of the number. For what set of numbers is this true?(–ꝏ, 5)
(5, ꝏ)
(–ꝏ, 0) U (0, 5)
(–ꝏ, 5) U (5, ꝏ)

Answers

Answer:

  (–ꝏ, 0) U (0, 5)

Step-by-step explanation:

The relation can be written as ...

  x³ < 5x²

  x³ -5x² < 0

  x²(x -5) < 0

This is not true for x = 0. It is true for x < 5, otherwise. Then the solution set is ...

  x ∈ {(–ꝏ, 0) U (0, 5)}

The cube of any number from the set (-∞, 0) ∪ (0, 5) is less than five times the square of the number. So, the third option is correct.

Mathematically, a set is a collection of distinct, well-defined objects forming a group.

Let the number be x.

Then, according to the question:

x³ > 5x²

x³ - 5x² > 0

x²(x - 5) > 0

x² > 0 or x - 5 > 0

x > 0 or x > 5

This implies that

x ∈ (-∞, 0) ∪ (0, 5)

Hence, the correct answer is the third option, (-∞, 0) ∪ (0, 5).

Learn more about Set here:

brainly.com/question/30705181

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