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koban [17]
3 years ago
15

Solve the system by substitution. -4.5-2y=-12.5 , 3.35x-y=-0.75

Mathematics
2 answers:
goldenfox [79]3 years ago
6 0
First, we solve for y in the first equation:
-2y = -12.5 +4.5
-2y=-8
y= \frac{8}{2}
y=4
Then, we substitute the y value in the other equation and solve for x:
3.35x-(4)=-0.75
3.35x=-0.75+4
3.35x=3.25
x= \frac{3.25}{3.35}
x= \frac{65}{67}

krok68 [10]3 years ago
5 0
<span>so -2y=-12.5+4.5 thus -2y=-8 thus y=4 if y=4 than 3.35x=-.75+4 thus 3.35x=3.25 thus x=3.35/3.25</span>
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How do you do this question?
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Step-by-step explanation:

(a) dP/dt = kP (1 − P/L)

L is the carrying capacity (20 billion = 20,000 million).

Since P₀ is small compared to L, we can approximate the initial rate as:

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C = 2.279

P(t) = 20,000 / (1 + 2.279e^(-t/305))

P(10) = 20,000 / (1 + 2.279e^(-10/305))

P(10) = 6240 million

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3 years ago
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Find the value of n, correct to 4 significant figures.​
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Answer:

6.708

Step-by-step explanation:

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  • \implies y\:\alpha \:x^2......(1)

  • Y varies inversely as the square root of z (Given)
  • \implies y\:\alpha\: \frac{1}{\sqrt z}......(2)

  • Combining (1) & (2), we find:

  • y\:\alpha \:\frac{x^2}{\sqrt z}

  • \implies y=\frac{kx^2}{\sqrt z} (Where k is constant of proportionality).....(3)

  • Now, when y = 2, x = 3 and z = 4, we find the value of k i.e. constant.

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  • \implies k =\frac{4}{9}

  • Plugging the value of k in (3), we find:

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  • Next, in equation (4), plug y = 5, x = n and z = 16 and obtain the value of n by solving it.

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  • \implies n=\sqrt{45}

  • \implies n=6.70820393

  • \implies n\approx 6.708
7 0
2 years ago
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