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Alisiya [41]
3 years ago
13

Pls I’m about to cry...

Mathematics
1 answer:
marissa [1.9K]3 years ago
7 0

FORMULA:

  • Volume of cylinder = πr²h
  • Volume of sphere = 4/3πr³

ANSWER:

Volume of capsule = 4/3πr³ + πr²h

πr²(4/3r + h)

  • 3.14 × 2²(8/3 + 5.6)
  • 3.14 × 4(2.6 + 5.6)
  • 12.56(8.2)
  • 102.99 or 103 rounded.

Now, Density = 0.7mg/mm³

  • 0.7/103
  • 0.00679mg

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Answer: D

Explanation: Apply the pythagorean theorem (a^2 + b^2 = c^2) to get 11^2 + b^2 = 18^2. From that you can solve for b and you get the square root of 203.

Hope this helped! :)
8 0
3 years ago
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Simplify (4x^2-7x+14)(3x+5x^2-6)<br> Please show work
tatiyna

Answer:

-23x^3+20x^4+25x^2+84x-84

Step-by-step explanation:

1 Expand by distributing sum groups.

4x^2(3x+5x^2-6)-7x(3x+5x^2-6)+14(3x+5x^2-6)

2 Expand by distributing terms.

12x^3+20x^4-24x^2-7x(3x+5x^2-6)+14(3x+5x^2-6)

3 Expand by distributing terms.

12x^3+20x^4-24x^2-(21x^2+35x^3-42x)+14(3x+5x^2-6)

4 Expand by distributing terms.

12x^3+20x^4-24x^2-(21x^2+35x^3-42x)+42x+70x^2-84

5 Remove parentheses.

12x^3+20x^4-24x^2-21x^2-35x^3+42x+42x+70x^2-84

6 Collect like terms.

(12x^3-35x^3)+20x^4+(-24x^2-21x^2+70x^2)+(42x+42x)-84

7 Simplify.

-23x^3+20x^4+25x^2+84x-84

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Step-by-step explanation:

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