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algol13
3 years ago
10

Use properties to evaluate 2/3 • (- 3/4 / 1/8) 1/3 A.-4 B. 4 C.-4/3 D.4/3

Mathematics
1 answer:
Bond [772]3 years ago
7 0

Answer:

Step-by-step explanation:

First you do the division in parentheses and you get (-3/4*8/1) = -24/4 = -6

The new exercise becomes 2/3 *(-6)*1/3

Next, since there are only multiplication we have to do then in order from left to right so we have

-12/3*1/3 = -12/9

We can simplify by 3 and we get -4/3

Anwer choice C

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pickupchik [31]

This sequence be represented as a recursive equation by a1=8 and an=2a1

<u>Step-by-step explanation</u>:

  • 'Recursive' refers to the repetition of a specific process in a sequence.
  • The given sequence is {8,16,32,64}.
  • If the value is 2 times the previous value, then an=2a(n-1)

Let a1=8,

then a2 = 2a(2-1)

⇒ a2 = 2a1

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Similarly,

For a2=16,

⇒ a3 = 2(a2)

⇒ a3 = 2(16)

⇒ a3 = 32

For a3=32,

⇒ a4 = 2(a3)

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∴ The equation is recursive as a1=8 and an=2a1 to follow the sequence.

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