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svetoff [14.1K]
3 years ago
12

Someone pls help I need this like now pls lots of points and brainliest

Mathematics
1 answer:
Serjik [45]3 years ago
8 0

Answer:

  • See below

Step-by-step explanation:

<h3>#7</h3>
  • 5⁵(16²5³)³ = 5⁵(2⁴)³(5³)³ = 5⁵2¹²5⁹ = 5¹⁴2¹²
<h3>#8</h3>
  • (8⁴5³/8⁵)² = (5³/8)² = (5³)²/(2³)² = 5⁶ / 2⁶
<h3>#9</h3>
  • (5⁸3⁷/5⁴)¹⁰ = (5⁴3⁷)¹⁰ = (5⁴)¹⁰(3⁷)¹⁰ = 5⁴⁰3⁷⁰
<h3>#10</h3>

<u>Multiplying powers with same base:</u>

  • a^b*a^c=a^{b+c}
  • Same base with powers added up

<u>Multiplying powers with same exponent but different base:</u>

  • a^b*c^b=(ac)^b
  • Same exponent with bases multiplied
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Answer:

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Step-by-step explanation:

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⇔ 6x - 8 = 10x - 72

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Let h(x) = e^(kx) + f(x),
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Answer:

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Step-by-step explanation:

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3 years ago
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The rate of change (dP/dt), of the number of people on an ocean beach is modeled by a logistic differential equation. The maximu
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Answer:

\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})

Step-by-step explanation:

The logistic differential equation is as follows:

\frac{dP}{dt} = rP(1 - \frac{P}{K})

In this problem, we have that:

K = 1200, which is the carring capacity of the population, that is, the maximum number of people allowed on the beach.

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This means that \frac{dP}{dt} = 400 when P = 200. With this, we can find r, that is, the growth rate,

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\frac{dP}{dt} = rP(1 - \frac{P}{K})

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3 0
3 years ago
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