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3 years ago

Which of the following shows an inconsistent system of equations?

Mathematics

1 answer:

77julia77 [94]3 years ago

3 0

The third set is equivalent to

2x + y = 2
2x + y = -2

clearly inconsistent.

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An ancient Chinese candle clock tells the amount of time that has passed by the amount of wax that has been melted off the candl

maxonik [38]

Answer:

$Time = 560\ mins$

Step-by-step explanation:

Given

$Candles = 2$ --- candles melted

$Divisions = 12$

$Time = 4\ hrs$ --- time to melt

Required

The time since the first was lit

If 1 candle melts in 4 hours, 2 candles will melt in 8 hours.

i.e.

$x = Candles * Time$

$x = 2 * 4hrs$

$x = 8hrs$

For the 3rd candle that has melted, 4 inches

First, calculate the fraction that melt

$Fraction = \frac{Melt}{Division}$

$Fraction = \frac{4}{12}$

$Fraction = \frac{1}{3}$

The time to melt is:

$y = Fraction * Time$

$y= 4 * \frac{1}{3}$

$y= \frac{4}{3}hrs$

So, the required time is:

$Time = x + y$

$Time = 8hrs + \frac{4}{3}hrs$

Convert to minutes

$Time = 8*60mins + \frac{4}{3}*60mins$

$Time = 480mins + 80mins$

$Time = 560\ mins$

4 0

3 years ago

Use exponent properties to simplify the following expression with a positive exponent.

Alecsey [184]

$a^{-n}=\dfrac{1}{a^n}\\\\2^{-8}=\dfrac{1}{2^8}\\\\a^n\cdot a^m=a^{n+m}\\\\2^5\times2^1=2^{5+1}=2^6\\\\2^5\times2^{-8}\times2^1=\boxed{\dfrac{2^6}{2^8}}$

3 0

4 years ago

The function shown below was created to track the different intervals of speed that an automobile travels over a period of 28 se

Ksenya-84 [330]

Answer:

1. The car is slowing down at a rate of 2.5mph/s

2. The greatest acceleration is 10 mph/s.

3. In the interval 4s to 16s the speed remains constant and has magnitude 25 mph.

Step-by-step explanation:

1. The deceleration of the car is from 16 seconds to 24 seconds is the slope $m$ of the graph from 16 to 24:

$m=\dfrac{\Delta speed }{\Delta time } = \dfrac{5-25}{24-16} =-2.5mph/s$

the negative sign indicates that it is deceleration.

2. The automobile experiences the greatest change in speed when the slope is greatest because that is when acceleration/deceleration is greatest.

From the graph we see that the greatest slope of the graph is between 28 and 24 seconds. The acceleration the interval is the slope $m$ :

$m= \dfrac{45-5}{28-24}= 10mph/s$

3. The automobile experiences no acceleration in the interval 4 s to 16 s—that's the graph is flat.

The speed of the automobile in that interval, as we see from the graph, is 25 mph.

7 0

3 years ago

Read 2 more answers

The weather forecaster says that there is a 51% chance of rain today. Which statement describes the likelihood that it will rain

vaieri [72.5K]

Answer:

It is neither likely nor unlikely that it will rain today.

Step-by-step explanation:

3 0

3 years ago

What is the cash payment of a article costing RS.2020 allowing a discount of Rs.20 and levying 13% VAT?

belka [17]

The cash payment for the article is RS. 2,260.

A discount reduces the price of an item. The article becomes cheaper after the discount.

Cost of the article after the RS. 20 discount = RS. 2020 - 20 = RS 2000

VAT means value added tax. VAT increases the price of an item. The cost of the article increases by 13% after the VAT is levied,

Cost of the article = (100 + 13%) x 2000

1.13 x 2000 = RS 2,260.

To learn more about taxes, please check: brainly.com/question/25311567

7 0

2 years ago