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LUCKY_DIMON [66]
4 years ago
8

Please help and show all the work. I need all the work to be explained as the teacher asked. Thank you so much for the help.

Mathematics
2 answers:
statuscvo [17]4 years ago
8 0
17. You need to know the number of chairs in a row, so 24/4 = 6. So B.
18. Anything over 1 is itself, so 4/1 = 4. A.
19. 6+8 = 14 people like pizza/hamburgers. 3+5 =8 people like spaghetti/tacos. 14-8 = 6. D.
vova2212 [387]4 years ago
3 0
17.  Because there need to be 4 equal rows, we can divide 24 by 4.  This gives us 6 chairs per row.

18.  We can do this one by checking each fraction.  Let's start from the bottom.  1/4th is equal to .25.  2/2 is equal to 1.  4/4 is equal to 1.  4/1 is equal to 4, so A has to be the answer.

19. 8 students liked pizza, 6 students chose hamburger, 3 students chose spaghetti, and 5 students chose tacos.  We add up the students who chose pizza and hamburgers to get 14, and we add together the students who chose spaghetti and tacos to get 8.  Now, we subtract the amount of students who chose spaghetti and tacos from the amount of students who chose pizza or hamburgers.  This is 14-8, or 6.  Answer D.
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<h2>Half Life</h2>

The half life period is the time in which only half of the given population remains. It can be represented through this equation:

f(t)=a\times(1/2)^{\frac{t}{h}}

  • <em>t</em> = time passed
  • <em>a</em> = y-intercept
  • <em>h</em> = half life

<h2>Solving the Question</h2>

We're given:

  • <em>h</em> = 28 million years
  • <em>a</em> = 184 grams (this is the initial mass, after 0 time has passed)

For most questions like this, we would have to plug these values into the equation mentioned above. However, this question asks for the time elapsed after 3 half-lives.

This can be calculated simply by multiplying the given half-life by 3:

28 million years x 3

= 84 million years

<h2>Answer</h2>

84 million years

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<h2><u>Answer:</u></h2>

⟶ 2³ × 3² is the prime factorization for which one of these choices?

Let's check,

1) 6 = 3 × 2 [So, obviously not this choice]

2) 25 = 5 × 5 = 5² [Not this either]

3) 36 = 3 × 2 × 2 × 3 = 3² × 2² [Doesn't match with 2³ × 3²]

4) 72 = 2 × 2 × 2 × 3 × 3 = <u>2</u><u>³</u><u> </u><u>×</u><u> </u><u>3</u><u>²</u><u> </u>[Matches]

⟶ The answer is, choice <u>7</u><u>2</u><u>.</u>

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