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ddd [48]
3 years ago
10

Solve for x (5√3)^x+(10√3)^(x-10)=84

Mathematics
1 answer:
Olenka [21]3 years ago
8 0

9514 1404 393

Answer:

  x = 20

Step-by-step explanation:

We can define z = 3^(x/10). Then the equation is quadratic, which we can solve by completing the square. X can be found from the positive solution for z.

  z^2+\dfrac{1}{3}z=84\\\\z^2+\dfrac{1}{3}z+\dfrac{1}{36}=84\dfrac{1}{36}\\\\(z+\dfrac{1}{6})^2=(9\dfrac{1}{6})^2\\\\z=9\dfrac{1}{6}-\dfrac{1}{6}=9\\\\z=3^{\frac{x}{10}}=3^2\\\\x=10\cdot2\\\\\boxed{x=20}

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Answer:

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3 years ago
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Svet_ta [14]

Answer:

1.One proportion

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5. Means from Dependent Samples

6. Two Independent Means

Step-by-step explanation:

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8 0
3 years ago
Michael has 1.85 in dimes and nickels.He has a total of 25 coins.how many of each does he have
creativ13 [48]
D+n=25 subtract d from both sides *(if your wondering what d and n are it stands for Dimes and Nickels)* n=25-d   
0.10d+0.05= 1.85
0.10d+0.05(25-d)= 1.85
0.10d+1.25-0.05d= 1.85
0.05d = 0.60
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
My answer: He has 12 dimes (d=12) and 25-12=13 so 13 nickels.. Hope this helps! :)

5 0
4 years ago
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Zigmanuir [339]
Its 0.343 because it cannot be expressed as a fraction or whole number
4 0
3 years ago
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