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nirvana33 [79]
3 years ago
10

Find the cost per ounce of a gold alloy made from 30 oz of pure gold that costs $1290 per ounce and 60 oz of an alloy that costs

$920 per ounce. (round your answer to the nearest cent.)
Mathematics
2 answers:
Romashka [77]3 years ago
6 0
The answer would be $24.55 per oz of gold alloy so rounded up would be $25
MrRa [10]3 years ago
4 0
The answer would be $24.55 per oz of gold alloy so rounded up would be $25
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A poster is 3 feet long and 30 inches wide. What is the area, in feet, of the painting?
Andrei [34K]

Answer:

90 feet

Step-by-step explanation:

30x3=90

3 0
2 years ago
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Newton's Law of Cooling states that the rate of change of the temperature of an object, T, is proportional to the difference of
maria [59]

Answer:

  305 °F

Step-by-step explanation:

The core temperature of the object after 4 hours can be found using an exponential decay formula to model the decay of the difference between core temperature and ambient.

<h3>Cooling Model</h3>

The solution to the differential equation described by Newton's law of cooling is the exponential equation ...

  y = ab^t +c

where 'a' is the initial core temperature difference from ambient, 'b' is the decay factor of that difference in 1 unit of time period t. 'c' is the ambient temperature.

For this problem, the ambient temperature is c=80, and the differences of interest are ...

  a = 1200 -80 = 1120

  b = (830 -80)/1120 = 75/112

Using these values in the model gives ...

  y = 1120(75/112)^t +80 . . . . . . where y(t) is the core temperature at time t

Note that units of time are hours.

<h3>Application</h3>

We want y when t=4.

  y = 1120(75/112)^4 +80 ≈ 1120(0.20108) +80 ≈ 305.212

The core temperature after 4 hours is about 305 °F.

__

<em>Additional comment</em>

The differential equation will have a solution of the form ...

  T-T_R=(T_0-T_R)e^{kt}

where k = ln(75/112) ≈ -0.40101

In the above, we defined b = e^k = 75/112. Accuracy with this fraction can be better than using a truncated value of k.

5 0
2 years ago
Need help figuring this equation 1/12c =.6
soldi70 [24.7K]
1/12c = 0.6

To remove a fraction you simply multiply it by its inverse fraction (take the original fraction and flip it! So, multiply it by 12/1 (which is the same as saying 12).

12(1/12c) = 0.6*12

The 12 cancels out leaving this: 

c  = 0.6 * 12
c = 7.2

If you don't have or are allowed to use a calculator. To compute that you simply make 0.6 into a fraction then multiply the numerator by 12. .6 is in the tenths place so you can write it like this: 
6/10 simplifying it becomes, 3/5

3/5 * 12 = 36/5

Now! That was assuming 1/12c was written like this: 
(1/12)c = 0.6

If it was actually written like this: 
1/(12c) = 0.6 then you'll do this. 

Multiply 0.6 by 12c. Which will get you 7.2c. After that you need to get c alone, so you divide both sides by 7.2. Yielding the result: 

1/7.2 = c 

c = 0.1389...


5 0
3 years ago
(Apex!) Select the two values of x that are roots of this equation 3x-5=-2x^2
katovenus [111]

Answer:

B and D

Step-by-step explanation:

Write as a quadratic

-2x² - 3x + 5 = 0

Factor

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-x(2x + 5) + 1(2x + 5) = 0

(1 - x)(2x + 5) = 0

To make the equation 0, x is either 1 or -5/2.

4 0
3 years ago
Please Answer.
Andrews [41]

Answer:72.6

Step-by-step explanation:

6 0
3 years ago
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