Greatest to least
23.72, 23.697, 22.8
hope this helps
23.72 is greater than 23.697 by 0.023
Answer:
13
Step-by-step explanation:
(x + 3)^3/2 = 64
√(x + 3)^3 = 64
(x + 3)^3 = 64^2
(x + 3)^3 = (4^3)^2
(x + 3)^3 = (4^2)^3
Same exponent
So
x + 3 = 4^2
x + 3 = 16
x = 13
Answer:
Explanation:
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<u>1. First find the density of your chain</u>
- Volume = displaced water volume
= Volume of Final level of water - initial level of water
= 20 ml - 15 ml = 5 ml
- Density = 66.7g / 5 ml = 13.34 g/ml
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<u>2. Second, write the denisty of the chain as the weighted average of the densities of the other metals:</u>
Mass of gold × density of gold + mass of other metals × density of other metals, all divided by the mass of the chain.
Calling x the amount of gold, then the amount of other metals is 66.7 - x:
![\dfrac{19.3\cdot x+9.7\cdot (66.7-x)}{66.7}=13.34](https://tex.z-dn.net/?f=%5Cdfrac%7B19.3%5Ccdot%20x%2B9.7%5Ccdot%20%2866.7-x%29%7D%7B66.7%7D%3D13.34)
![19.3x+635.66-9.7x=889.778](https://tex.z-dn.net/?f=19.3x%2B635.66-9.7x%3D889.778)
![9.6x=254.118\\\\x=26.47](https://tex.z-dn.net/?f=9.6x%3D254.118%5C%5C%5C%5Cx%3D26.47)
Then, there are 26.47 grams of gold in 66.7 grams of chain, which yields a percentage of:
- (26.47 / 66.7) × 100 = 39.7%
False; consider as a counterexample the function <em>f</em> : ℝ→ℝ defined by
![f(x)=\begin{cases}-3&\text{for }x\neq2\\0&\text{for }x=2\end{cases}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cbegin%7Bcases%7D-3%26%5Ctext%7Bfor%20%7Dx%5Cneq2%5C%5C0%26%5Ctext%7Bfor%20%7Dx%3D2%5Cend%7Bcases%7D)
Clearly <em>f</em> approaches -3 as <em>x</em> gets closer to -2, but neither limit from either side is equal to the function's value at <em>x</em> = 2 (that is, -3 ≠ 0), so <em>f</em> is not continuous.
C. these are the y values shown on the graph