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sergiy2304 [10]
3 years ago
14

Imagine that you are shown four antiques: a blue porcelain bowl, a white porcelain vase, a clear glass bowl, and a blue glass va

se. An antique that has exactly ONE of the following traits is considered valuable: being a vase or being made of porcelain material. According to this rule, which of the antiques is valuable?
Q467
Mathematics
1 answer:
iren [92.7K]3 years ago
7 0
<span>The porcelain white vase is more valuable because its more vintage because it was made earlier in time than the other items.</span>
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Answer:

600.06

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The lock of a safe has a wheel of 8 letters. A unique combination of 3 letters opens the safe. what is the probability that a bu
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1/512

Step-by-step explanation:

The robber has a 1/8 probability of getting each letter right. There are three letters, so you would multiply 1/8x1/8x1/8.

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4 years ago
I know this more than one question but I'm really stuck. help :(
gogolik [260]
The first question asks to find a change in temperature. To find this, we subtract the first temperature from the last. The final temperature here is 35.65 C, while the initial is 24.85 C. Finding the change, we end up with
35.65-24.85=10.8 C

To find the m and c for 3, we know that m stands for mass (represented in grams here - make sure that you know whether to do it in kilograms or grams! If it says that the specific heat of water is 4,184 , it's kilograms. If it's 4.184, it means grams), and we know that there are 1000 grams of water. Thus, our mass is 1,000. The c, or specific heat, is 4.184 J/(g*C) for water. Therefore, we have 10.8*4.184*1,000=45187.2 J as the heat absorbed by the water.

Similarly for the calorimeter, we multiply the heat capacity of the calorimeter by the change in temperature, or 695*10.8=7506 J as the heat absorbed by the calorimeter. 

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3 years ago
Find the surface area of the rectangular prism.<br> 4 in<br> 10 in<br> 3 in
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3 years ago
Resolve the expression <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%28x-2%29%7D%7B%28x%5E%7B2%7D%20%2B1%29%28x-1%29%5E%7B2%7D%20
Llana [10]

The partial fraction expansion will look like

(<em>x</em> - 2)/((<em>x</em> ² + 1) (<em>x</em> - 1)²) = (<em>ax</em> + <em>b</em>)/(<em>x</em> ² + 1) + <em>c</em>/(<em>x</em> - 1) + <em>d</em>/(<em>x</em> - 1)²

Get everything in terms of a common denominator, and compare the numerators on both sides:

<em>x</em> - 2 = (<em>ax</em> + <em>b</em>) (<em>x</em> - 1)² + <em>c</em> (<em>x</em> ² + 1) (<em>x</em> - 1) + <em>d</em> (<em>x</em> ² + 1)

Expand the right side:

<em>x</em> - 2 = (<em>ax</em> + <em>b</em>) (<em>x</em> - 1)² + <em>c</em> (<em>x</em> ² + 1) (<em>x</em> - 1) + <em>d</em> (<em>x</em> ² + 1)

<em>x</em> - 2 = (<em>a</em> + <em>c</em>) <em>x</em> ³ + (-2<em>a</em> + <em>b</em> - <em>c</em> + <em>d</em>) <em>x</em> ² + (<em>a</em> - 2<em>b</em> + <em>c</em>) <em>x</em> + <em>b</em> - <em>c</em> + <em>d</em>

<em />

Match up the coefficients and solve the resulting system of equations:

<em>a</em> + <em>c</em> = 0

-2<em>a</em> + <em>b</em> - <em>c</em> + <em>d</em> = 0

<em>a</em> - 2<em>b</em> + <em>c</em> = 1

<em>b</em> - <em>c</em> + <em>d</em> = -2

==>   <em>a</em> = -1, <em>b</em> = -1/2, <em>c</em> = 1, <em>d</em> = -1/2

So the expansion into partial fractions is

(<em>x</em> - 2)/((<em>x</em> ² + 1) (<em>x</em> - 1)²) = (-<em>x</em> - 1/2)/(<em>x</em> ² + 1) + 1/(<em>x</em> - 1) - 1/(2 (<em>x</em> - 1)²)

… = -(2<em>x</em> + 1)/(2 (<em>x</em> ² + 1)) + 1/(<em>x</em> - 1) - 1/(2 (<em>x</em> - 1)²)

5 0
3 years ago
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