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aivan3 [116]
3 years ago
5

Calculate the average rate of change for the function

Mathematics
1 answer:
mezya [45]3 years ago
7 0

slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)= 2(x-2)^2+1\qquad \begin{cases} x_1=-2\\ x_2=4 \end{cases}\implies \cfrac{f(4)-f(-2)}{4-(-2)} \\\\\\ \cfrac{[2(4-2)^2+1]~~ - ~~[2(-2-2)^2+1]}{4+2}\implies \cfrac{[9]~~ - ~~[33]}{6}\implies \cfrac{-24}{6}\implies -4

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slavikrds [6]

Answer:

A = 140

Step-by-step explanation:

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4 years ago
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Suppose a laboratory has a 26-gram sample of polonium-210.The half-life of polonium-210 is about days. a.How many half-lives of
vovangra [49]

Answer:

a) Two half lives, b) m(276) = 6.526\,g

Step-by-step explanation:

a) The polonium-210 has a half life of 138.4 days. Therefore, 1.994 half lives have past.  

b) Mass decay is described by the following exponential model:

m(t)=m_{o}\cdot e^{-\frac{t}{\tau} }

The time constant for the isotope is:

\tau = \frac{138.4\,days}{\ln 2}

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7 0
3 years ago
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The molar mass of AlCl3 is 133.34 g/mol. How many molecules of AlCl3 are there in 2 g?
Mnenie [13.5K]

To solve this problem, we have to apply mole-concept to this and we would need the molar mass of AlCl3.  2g of AlCl3 contains 9.034*10^21 molecules.

<h3>Number of Molecules in 2g of AlCl3</h3>

The molar mass of AlCl3 is given as 133.34g/mol

Data;

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  • molar mass = 133.34g/mol

Using the mole concept, we can equate the molar mass to the number of molecules present in the entity.

133.34g = 6.023*10^2^3

If we equate this

133.34g = 6.023*10^2^3\\2g = x molecules\\x = \frac{2*6.023*10^2^3}{133.34} \\x = 9.034*10^2^1 molecules

From the calculations above, 2g of AlCl3 contains 9.034*10^21 molecules.

Learn more on mole concept here;

brainly.com/question/21150359

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5 0
2 years ago
A bowl of grapes has a total mass of 265g. The bowl has a mass of 121g. What is the mass of the grapes?
stealth61 [152]

Answer:

144g

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You know that the bowl itself has a mass of 121g. If you take that number away from the total amount, you will be left with only the mass of the grapes.

265g - 121g = 144g

I hope this helps!

8 0
3 years ago
Find an equation of the line through (4,6) and parallel to y=3x+4
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Hello!

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6 0
3 years ago
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