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3 years ago

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10 points What is the difference of the two polynomials? * (9x2 + 8x) - (2x2 + 3x) 7x² + 5x 7x² + 11x Option 1 Option 2 h 11x² +

5x 11x² + 11x Option 3 Option 4

1 answer:

Blizzard [7]3 years ago

4 0

Answer:

The answer to your question is 7x2+5x

Step-by-step explanation:

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The price of a pair of headphones is $49.99 before tax. Ron bought the headphones for a 50% discount. He then paid sales tax of

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Answer:

1. Ron paid 4 dollars on sales tax and 2. The total Ron paid was 28.99

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3 years ago

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In 1859, 24 rabbits were released into the wild in Australia, where they had no natural predators. Their population grew exponen

Mashcka [7]

Answer:

a) P' = P

$P(t) = 24e^{0.693t}$ where t is step of 6 months

b) 7.7 years

c)1064.67 rabbits/year

Step-by-step explanation:

The differential equation describing the population growth is

$\frac{dP}{dt} = P$

Where t is the range of 6 months, or half of a year.

P(t) would have the form of

$P(t) = P_0e^{kt}$

where $P_0 = 24$ is the initial population

After 6 month (t = 1), the population is doubled to 48

$P(1) = 24e^k = 48$

$e^k = 2$

$k = ln(2) = 0.693$

Therefore $P(t) = 24e^{0.693t}$

where t is step of 6 months

b. We can solve for t to get how long it takes to get to a population of 1,000,000:

$24e^{0.693t} = 1000000$

$e^{0.693t} = 1000000 / 24 = 41667$

$0.693t = ln(41667) = 10.64$

$t = 10.64 / 0.693 = 15.35$

So it would take 15.35 * 0.5 = 7.7 years to reach 1000000

c. $P' = P_0ke^{kt}$

We need to resolve for k if t is in the range of 1 year. In half of a year (t = 0.5), the population is 48

$24e^{0.5k) = 48$

$0.5k = ln2 = 0.693$

$k = 1.386$

Therefore, $P' = 1.386*24e^{1.386t}$

At the mid of the 3rd year, where t = 2.5, we can calculate P'

$P' = 1.386*24e^{1.386*2.5} = 1064.67$ rabbits/year

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3 years ago

If your cell phone bill was 67 Point $82 and there is a 7.5% late fee how much will your bill be with the late fee included

Ivenika [448]

$\frac{7.5}{100} = \frac{x}{82} \\ x = \frac{82 \times 7.5}{100} = \frac{615}{100 } = 6.15$
$82 + 6.15 = 88.15$
the answer is $88.15

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Answer:

y = -32

Step-by-step explanation:

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