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blsea [12.9K]
3 years ago
7

I WILL GIVE BRAINLIEST!!!!! Consider the scenario below. This morning Haidar noticed that her dog, Aldi, seemed unwell. She took

him to the vet, where he was diagnosed with an ear infection. The veterinarian prescribed an antibiotic called amoxicillin to help Aldi feel better. Haidar will give Aldi 150 mg of the antibiotic once each day for 10 days. Each time Haidar gives Aldi his next dose of medication, 40% of the previous dose remains in his bloodstream. Use what you know about recursive sequences and iteration to explore the mathematics related to this scenario. 1. Determine the amount of medication that is in Aldi’s bloodstream after Haidar gives him each of the 1st, 2nd, 3rd, and 4th doses of amoxicillin. Show your work.
Mathematics
1 answer:
Scilla [17]3 years ago
3 0

Answer:

225 mg remain in Aldi bloodstream

Step-by-step explanation:

150mg of amoxicillin was given daily for 10 days equals 1,500

of the 1500-40% =600mg

600mg divided by  4 days = 225mg still in blood stream

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How do I solve: 2 sin (2x) - 2 sin x + 2√3 cos x - √3 = 0
ziro4ka [17]

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\displaystyle x = \frac{\pi}{3} +k\, \pi or \displaystyle x =- \frac{\pi}{3} +2\,k\, \pi, where k is an integer.

There are three such angles between 0 and 2\pi: \displaystyle \frac{\pi}{3}, \displaystyle \frac{2\, \pi}{3}, and \displaystyle \frac{4\,\pi}{3}.

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By the double angle identity of sines:

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2\, (2\, \sin x \cdot \cos x) - 2\, \sin x + 2\sqrt{3}\, \cos x - \sqrt{3} = 0.

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\left(2\, \sin x + \sqrt{3}\right) \cdot (2\, \cos x - 1) = 0.

This equation holds as long as either \left(2\, \sin x + \sqrt{3}\right) or (2\, \cos x - 1) is zero. Let k be an integer. Accordingly:

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Any x that fits into at least one of these patterns will satisfy the equation. These pattern can be further combined:

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