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Scorpion4ik [409]
2 years ago
14

Y

Mathematics
1 answer:
Juliette [100K]2 years ago
8 0

Answer:

y = 18 when x = 3

Step-by-step explanation:

y is directly proportional to x^2, meaning:

y=ax^2

where a is the proportion between them. We're given the values for both x and y, so plug those in and solve for a:

8=a(2)^2\\8=a4\\2=a\\a=2

Now you can use a to solve for y when x is 3:

y=ax^2\\y=(2)(3)^2\\y=2(9)\\y=18

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If the annualized GDP growth rates for four consecutive quarters are 2.0%, 0.9%, 0.8%, and 1.2%, estimate the growth rate for th
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Answer:

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4 years ago
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1+2+2²+2³+...+2^x=1023
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1 + 2 + 2^{2} + 2^{3} + 2^{x} = 1023 \\3 + 4 + 8 + 2^{x} = 1023 \\7 + 8 + 2^{x} = 1023 \\15 + 2^{x} = 1023 \\2^{x} = 1023 - 15 \\2^{x} = 1008 \ln(2^{x}) = ln(1008) \\xln(2) = ln(16 * 8 * 7) \\xln(2) = ln(2^{4} * 2^{3} * 7) \\\frac{xln(2)}{ln(2)} = \frac{4ln(2) + 2ln(3) + ln(7)}{ln(2)} \\x = 4 + \frac{2ln(3)}{ln(2)} + \frac{ln(7)}{ln(2)}
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