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masha68 [24]
3 years ago
7

If x is a positive integer and y is a negative integer than x + y is a rational number.

Mathematics
1 answer:
romanna [79]3 years ago
5 0

Answer:

Yes

Step-by-step explanation:

An integer is a whole number so if x is positive and y is negative then the equation would just be x plus negative y. But x+-y is an odd equation so the simplified version is x-y so it is a rational number, since a rational number is a number that can be rewritten as a simple fraction.

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a red string of holiday lights blinks once every 3 seconds while a string of blue lgihts blink once every 4 seconds. how many ti
gavmur [86]
The highest common factor of 4 and 3 is 12
one minute has 60 secs
thus it will blink 60/12=5 times
6 0
3 years ago
A CD with a diameter of 120 millimeters rotates a rate of 45 revolutions per minute. Find the linear speed of the CD in millimet
ale4655 [162]

9514 1404 393

Answer:

  • 16,965 mm/min
  • 90π ≈ 282.7 radians/min

Step-by-step explanation:

The circumference of the CD is ...

  C = πd

  C = π(120 mm) ≈ 376.99 mm

This is the distance a point on the edge of the CD will travel when making one revolution. It will travel 45 times this far when making 45 revolutions:

  (376.99 mm/rev)(45 rev/min) ≈ 16,965 mm/min

__

There are 2π radians in each revolution, so the angular speed is ...

  (2π rad/rev)(45 rev/min) = 90π rad/min ≈ 282.7 rad/min

6 0
2 years ago
TW¯¯¯¯¯¯¯¯¯=14.6, CW¯¯¯¯¯¯¯¯¯=6, TU¯¯¯¯¯¯¯=21.2. Find the value of VW¯¯¯¯¯¯¯¯¯.
pogonyaev

TW x WU = CW x VW

Fill in the known values:

WU = TU - TW = 21.2 - 14.6 = 6.6

14.6 x 6.6 = 6 x VW

Simplify:

96.36 = 6VW

Divide both sides by 6:

VW = 96.36 / 6

VW = 16.06

Round to one decimal place:

VW = 16.1

The answer is D>

8 0
3 years ago
Read 2 more answers
Write the equation of the line that contains the point (-2 , 5) and is perpendicular to the line y = 1/2x + 3
horrorfan [7]

Answer:

no iea sorry

Step-by-step explanation:

7 0
2 years ago
Among 420 randomly selected employees at a company, the mean number of hours of overtime worked per month is 10 hours and the st
kari74 [83]

The margin of error of the random selection is 0.20

The given parameters are:

n = 420 --- the sample size

\sigma = 1.6 --- the standard deviation

\bar x = 10 --- the mean

\alpha = 99\% --- the confidence level.

The margin of error (E) is calculated as follows:

E = z \times \sqrt{\frac{\sigma^2}{n}}

So, we have:

E = z \times \sqrt{\frac{1.6^2}{420}}

E = z \times \sqrt{\frac{2.56}{420}}

The z-value for 99% confidence level is 2.576.

Substitute 2.576 for z

E = 2.576 \times \sqrt{\frac{2.56}{420}}

E = 2.576 \times \sqrt{0.006095}

Take square roots

E = 2.576 \times 0.0781

Multiply

E = 0.2012

Approximate

E = 0.20

Hence, the margin of error is 0.20

Read more about margin of error at:

brainly.com/question/14396648

8 0
2 years ago
Read 2 more answers
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