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3 years ago

Express (16^3)^1/2 in simplest radical form.

Mathematics

1 answer:

Rufina [12.5K]3 years ago

6 0

Answer:

I assume you mean 16^(1/3) i.e. the cube root of 16

I am also assuming you mean the real cube root because, as you may know, every non-zero real number has three cube root - one real and two complex conjugates.

Since 16 = 8 x 2 and 8 = 2³ then (2³ x 2)^1/3 = (2³)^1/3 x 2^1/3 = 2 x 2^1/3

You might check that the cube root of 16 is about 2.52 which is twice the cube root of 2

Step-by-step explanation:

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kodGreya [7K]

Answer:

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4 years ago

What the answer and how did you get it

Olegator [25]

Let x = the cost of the student discount card.

x + the cost of the passes = 29.50

x + 15(1.50) = 29.50

x + 22.50 = 29.50

Subtract 22.50 on both sides to isolate the variable x.

x = 29.50 - 22.50

x = 7

The student discount card is $7.

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4 years ago

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iogann1982 [59]

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3 years ago

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masha68 [24]

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3 years ago

Read 2 more answers

A shipment of 18 televisions sets contains 3 defective sets. A hotel purchases 8 of these televisions sets. What is the probabil

Allisa [31]

Answer:

85.29%

Step-by-step explanation:

We know 18 televisions sets contains 3 defective sets => 15 TV sets are ok

So the total number of possible ways for the hotel to buy = $C^{18} _{8} = 43758$

At least one of the defective sets, so we need to find the probability for 1 defective sets, 2 defective sets and 3 defective sets.

1. The number of ways the hotel purchases 8 of these televisions sets but have 1 defective one:

P(1) = $C^{15} _{7}$ * $C^{3} _{1}$ = 6435*3 = 19305

2. The number of ways the hotel purchases 8 of these televisions sets but have 2 defective one:

P(2) = $C^{15} _{6}$ * $C^{3} _{2}$ = 5005*3= 15015

3. The number of ways the hotel purchases 8 of these televisions sets but have 3 defective one:

P(3) = $C^{15} _{5}$ * $C^{3} _{3}$ = 3003*1 = 3003

So the probability that the hotel receives at least one of the defective sets =

(P(1) + P(2) + P(3) ) / P = (19305 +15015 + 3003 ) / 43785*100% = 85.29%

6 0

3 years ago