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3 years ago

Factor completely 2x^3 y -54yz^3

Mathematics

1 answer:

taurus [48]3 years ago

4 0

$2x^3 y -54yz^3=\\2y(x^3-27z^3)= \\ 2y(x^3-(3z)^3) =\\2y(x-3z)(x^2+3xz+9z^2)$

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mat deposited $2,000.00 in the bank. if the rate of simple interest was 10%, what was the amount of money mat had in the bank af

Mekhanik [1.2K]

Principal amount of money deposited by Mat in the bank = $2000
Rate of simple interest given by the bank = 10%
Number of years for which the money is kept in the bank = 5 years
As no money was withdrawn from the account, so
Amount after 5 years = Principal [1 + (Rate * Time)]
      = 2000 [ 1 + (10/100) * 5]
      = 2000 [ 1 + (1/2)]
   = 2000 * (3/2)
   = 1000 * 3
   = 3000 dollars
So the amount of money made by Mat after 5 years will be $3000.00

8 0

3 years ago

Explain how you can use the area model to find the number of miles that Lisa walks

kirill115 [55]

Answer:The area method, also sometimes called the box method, is an alternative to the standard algorithmic method (see below) for long multiplication.The standard algorithm is generally a faster method but, unlike the area method, it does not promote understanding or encourage the development of mathematical thinking.please mark as brainliest

Step-by-step explanation:

8 0

3 years ago

A locker combination consists of two nonzero digits, and each combination consists of different digits. Event A is defined as ch

Troyanec [42]

The correct answer is option B which is P ( A|B) will be ( 4 / 9 ).

<h3>What is probability?</h3>

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that:-

A locker combination consists of two nonzero digits, and each combination consists of different digits. Event A is defined as choosing an odd number as the first digit, and event B is defined as choosing an odd number as the second digit.

The total sample will have 9 numbers

S = { 1,2,3,4,5,6,7,8,9} = 9

Even Number = { 2,4,6,8} = 4

Odd Number = { 1,3,5,7,9} = 5

P ( A ) = ( 4 / 9 )

P ( B ) = ( 5 / 9 )

The probability will be calculated as:-

P( A:B ) = $\dfrac{P(A)\times P(B)}{P(B)}$

P( A:B ) = $\dfrac{( 5/9 ) ( 4/9 )}{5 / 9 }$

P( A:B ) = 4 / 9

Therefore the correct answer is option B which is P ( A|B) will be ( 4 / 9 ).

To know more about probability follow

brainly.com/question/24756209

#SPJ1

4 0

2 years ago

The area of a triangle is 30 square feet. If<br> the base is 4 feet, then what is the height?

ExtremeBDS [4]

Height=15

Explanation:
Area of a triangle= 1/2base x height
Plug in information
30=1/2 x 4 x h
Solve 1/2 x 4 = 2
30= 2 x h
Divide both side by two
30/2=2 x h/2
Solve:
15= h

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3 years ago

hafizah harvested 49 mangoes from her farm. The weights of the mangoes, w in grams, are shown on the following frequency table

sergejj [24]

To get the answer for this problem your going to have to show us the frequency table

5 0

3 years ago