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BartSMP [9]
3 years ago
15

20 POINTS HELPPPPP

Mathematics
2 answers:
Olenka [21]3 years ago
4 0

D. 1 is the answer on edg

kiruha [24]3 years ago
3 0

For this case we have the following expression:

\frac {216 ^ {n-2}} {(\frac {1} {36}) ^ {3n}} = 216

We multiply both sides by: (\frac {1} {36}) ^ {3n}

216 ^ {n-2} = 216 * (\frac {1} {36}) ^ {3n}

We divide both sides by 216:

\frac {216 ^ {n-2}} {216} = (\frac {1} {36}) ^ {3n}

To divide powers of the same base, we place the same base and subtract the exponents:

216 ^ {n-2-1} = (\frac {1} {36}) ^ {3n}\\216 ^ {n-3} = (\frac {1} {36}) ^ {3n}

Rewriting:

(6 ^ 3) ^ {n-3} = (\frac {1} {6 ^ 2}) ^ {3n}\\6 ^ {3n-9} = \frac {1} {6 ^ {6n}}\\6^{ 3n-9} * 6^{ 6n} = 1

To multiply powers of the same base, we place the same base and add the exponents:

6^{ 3n-9 + 6n} = 1\\6^{ 9n-9} = 1

We know that any number raised to zero is 1, a ^ 0 = 1.

So, for equality to be true:

9n-9 = 0\\9n = 9\\n = \frac {9} {9}\\n = 1

Answer:

n = 1

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You have 2,112 grams of a radioactive kind of mercury. How much will be left after 188 days if it's half-life is 47 days?
Anastasy [175]

Answer:

  • 132 g

Step-by-step explanation:

  • Initial amount = 2112 g
  • Time = 188 days
  • Half-life = 47 days

188 days / 47 days = 4 periods

<u>Mercury left after 188 days:</u>

  • 2112 * (1/2)^4 =
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4 0
2 years ago
30 kg of tomatoes cost $93. how much would 14 kg cost
katovenus [111]

Answer:

$43.4

Step-by-step explanation:

Let's say x is the cost per kilgram

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x = 3.1

14x = 43.4

8 0
3 years ago
A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the numb
Ugo [173]
To answer this item, we take the differential of the equation and equate to zero.
 
                  C(x) = 0.8x² - 256x + 25939

Differentiation,
                dC(x) = 1.6x - 256 
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The value of x from the derived equation above is 160. 

Thus, the number of machine to be made in order to minimize the cost should be 160. 
4 0
3 years ago
Read 2 more answers
Factor completely. 2x^4+4x^3-30x^2
kramer

Answer:

Step-by-step explanation:

2x⁴ + 4x³ - 30x² = 2x²*(x² + 2x - 15)

x² + 2x - 15

Sum = 2

Product = -15

Factors = 5 ; (-3)

x² + 2x - 15 = x² + 5x - 3x - 3 *5

                  = x(x + 5) - 3(x + 5)

                  = (x + 5)(x - 3)

2x⁴ + 4x³ - 30x² = (2x²) (x + 5)(x - 3)

7 0
3 years ago
1. The drama club sells 200 pounds of fruit to raise money. The fruit is sold in
KatRina [158]

I got the wrong answer. I don't want to keep this up just in case anyone needs the answer to this question again. But I can't delete my answer so I'll just leave this. Have a nice day tho. Sorry about that :(

4 0
3 years ago
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