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Orlov [11]
4 years ago
10

Solve the literal equation: Z = 4x/Y^2 + 3W for X

Mathematics
2 answers:
ra1l [238]4 years ago
8 0

Answer:

Z = 4X / Y^2 + 3W

Z - 3W = 4X / Y^2

(Z - 3W) * Y^2 = 4X

1/4 * (Z - 3W) * Y^2 = X

X = 1/4 * (Z - 3W) * Y^2

il63 [147K]4 years ago
6 0

Subtract 3w from both sides:

z-3w = \dfrac{4x}{y^2}

Multiply both sides by y^2:

y^2(z-3w) = 4x

Divide both sides by 4:

\dfrac{y^2(z-3w)}{4} = x

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Answer:

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3 years ago
The half life of silicone-32 is 710 years. If 30 grams is present now, how much will be present in 300 years?
Irina18 [472]

Answer:

22.38 g of silicone-32 will be present in 300 years.

Step-by-step explanation:

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay and its given by

                                           N(t)=N_0(\frac{1}{2})^{\frac{t}{t_{1/2}}

where,

N(t) = quantity of the substance remaining

N_0 = initial quantity of the substance

t = time elapsed

t_{1/2} = half life of the substance

From the information given we know:

  • The initial quantity of silicone-32 is 30 g.
  • The time elapsed is 300 years.
  • The half life of silicone-32 is 710 years.

So, to find the quantity of silicone-32 remaining we apply the above equation

N(t)=30\left(\frac{1}{2}\right)^{\frac{300}{710}}=30\left(\frac{1}{2}\right)^{\frac{30}{71}}\approx22.38 \:g

22.38 g of silicone-32 will be present in 300 years.

7 0
3 years ago
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weqwewe [10]

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Step-by-step explanation:

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Romashka-Z-Leto [24]

Answer:

x = 10

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Step-by-step explanation:

By using the vertical angles theorem we know that x+ y +10 = 90, also simplified to x + y = 80

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By using the substitution method on x + y = 80, it will be y = -x + 80

When you put into the equation 2x + y = 90 you will get 2x -x +80 = 90

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8 0
3 years ago
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