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3 years ago

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How do you simplify 4/^3√4

1 answer:

OlgaM077 [116]3 years ago

7 0

$\dfrac{4}{\sqrt[3]{4}}=\dfrac{4\cdot\sqrt[3]2}{\sqrt[3]{4}\cdot\sqrt[3]2}=\dfrac{4\sqrt[3]2}{\sqrt[3]{4\cdot2}}=\dfrac{4\sqrt[3]2}{\sqrt[3]8}=\dfrac{4\sqrt[3]2}{2}=2\sqrt[3]2$

$Use\ \sqrt[3]a\cdot\sqrt[3]b=\sqrt[3]{ab}$

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You shuffle a standard 52 card deck of cards, so that any order of the cards is equally likely, than draw 4 cards. How many diff

galina1969 [7]

Answer:

270725 different ways

Step-by-step explanation:

The problem tells us that the order of the letters does not matter. Therefore, in the combination the order is NOT important and is signed as follows:

C (n, r) = n! / r! (n - r)!

We have to n = 52 and r = 4

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4 years ago

A pot is being used to boil off 1 kg of water. The specific energy required to cause the phase change is 2297 kJ/kg. Assuming th

lana66690 [7]

Answer:

It will take 58 seconds

Step-by-step explanation:

If you have 1 kg of water in the jar, half of it will be 0.5 kg.

To vaporize half of the water (0.500 kg) the energy supply needed is

$2297 kJ/kg*0.5kg=1148.5 kJ$

If the stove is supplying 20 kJ/s, the time its needed is

$\frac{1148.5 kJ}{20\frac{KJ}{s} }=57.425 s$

It will last at least 58 seconds to vaporize half of the water.

6 0

3 years ago

Find the area of the triangle

BartSMP [9]

Area of the triangle = 1/2 x base x height

Area of the triangle = 1/2 x 74 x 17

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Answer: 629 ft²

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3 years ago

Over 1,000 people try to climb Mt. Everest every year. Of those who try to climb Everest, 31 percent succeed. The probability th

Arada [10]

Answer:

A. P(success/age≥60) = 12.5%

B. Yes, the success is independent of age.

Step-by-step explanation:

Probability of success, given that a climber is at least 60 years old is calculated using conditional probability rule

P(A|B) = P(A n B)/P(B)

Probability of success given that a climber is at least 60 years old is given by

P(success|age≥60) = P(success n age ≥ 60)/P(age ≥ 60) = 0.005/0.04

= 0.125

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B. The success is independent on age

3 0

4 years ago

Chord \displaystyle \overline{AB} AB is 12 inches from center \displaystyle OO. If the radius has a length of \displaystyle 1515

Leokris [45]

Answer:

18 inches

Step-by-step explanation:

Given

$r = 15in$ --- radius

$h = 12in$ --- distance between chord and the center of the circle

Required

The chord length

See attachment for illustration

First, calculate distance AX using Pythagoras theorem.

$AO^2 = AX^2 + OX^2$

This gives:

$15^2 = AX^2 + 12^2$

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Collect like terms

$AX^2 = 225 - 144$

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Take square roots of both sides

$AX = 9$

AB is then calculated as:

$AB= AX + XB$

Where:

$AX=XB =9$

So:

$AB = 9 + 9$

$AB = 18$

4 0

3 years ago