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Licemer1 [7]
3 years ago
9

Scientist cindy Grade has developed a new thermometer. Unlike the thermometer developed by Gabriel Fahrenheit were 32°F marks th

e freezing point in water and 212°F marks the boiling point, Dr. Grades's thermometer reads 0Degreez jeep for freezing point and 150° G for the boiling point. Write a formula that expresses the relationship between the grade scale (G) and the Fahrenheit scale (F). Do the scales ever agree? If so, at what temperature reading?
Mathematics
1 answer:
Elan Coil [88]3 years ago
8 0

Answer:

Step-by-step explanation:

The two thermometers developed by cindy Grade and Gabriel Fahrenheit are shown in the attached photo

Let x = a certain temperature reading on the Gabriel Fahrenheit's thermometer

Let y = a corresponding temperature reading on the cindy Grade's thermometer

Interpolating the temperatures, it becomes

(212 - 32)/(212 - x) = (150 - 0)/(150 - y)

(212 - 32)(150 - y) = 150(212 - x)

180(150 - y) = 31800 - 150x

2700 - 180y = 31800 - 150x

180y - 150x = 31800 - 27000

180y - 150x = 31800 - 27000

180y - 150x = 4800

The scales will agree at a common reading. This is achieved by making x to equal y. Therefore

180x - 150x = 4800

30x = 4800

x = 4800/30 = 160

At a reading of 160, both scales will agree

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a 95

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The contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounce. We are interested in testing to de
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3 years ago
Enter the range of values for x:<br> B<br> 15<br> 2x - 10<br> С<br> 48°<br> A<br> 18<br> [?] Enter
SOVA2 [1]
<h3>Answer:   5 < x < 29</h3>

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

Explanation:

Since AB is smaller than AD, this must mean the angle ACB is smaller than angle ACD. Note how these angles are opposite the sides mentioned.

So 2x-10 < 48

At the same time, 2x-10 is also larger than 0.

Overall, we can say 0 < 2x-10 < 48

---------

Let's solve for x

0 < 2x-10 < 48

0+10 < 2x < 48+10 ...... add 10 to all sides

10 < 2x < 58

10/2 < x < 58/2 ..... divide all sides by 2

5 < x < 29

8 0
3 years ago
Write the explicit rule of the arithmetic sequence that has a first term of 3 and a fourth term of 18
mr Goodwill [35]

Answer:

a_{n} = 5n - 2

Step-by-step explanation:

The nth term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₄ = 18 , then

a₁ + 3d = 18 , that is

3 + 3d = 18 ( subtract 3 from both sides )

3d = 15 (divide both sides by 3 )

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Then

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2 years ago
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