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2 years ago

Find the least common multiple of these two expressions. 10v^6y^7 and 6w^4v^5y^3

Mathematics

1 answer:

egoroff_w [7]2 years ago

4 0

10v⁶y⁷ = 2 * 5 * vvvvvv * yyyyyyy

6w⁴v⁵y³ = 2 * 3 * wwww * vvvvv * yyy

GCF: 2v⁴y³

The LCM is the GCF and everything leftover

LCM: 2v⁴y³ * (5 * v * yyyy) * (3 * wwww)

= (2 * 5 * 3) * (v⁴ * v) * (w⁴) * (y³ * y⁴)

= 30 v⁵ w⁴ y⁷

Answer: LCM = 30v⁵w⁴y⁷

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What is the average of the following numbers: 18, 64, 23, 78, 82, 91

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To Find The Answer, We Need To Add All Of Them Together, Then Divide By the Number Of Values. So:
64+23+78+82+91
-----------------------
5

64+23+78+82+91 = 338.

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338/5 = 67.6

So, The Average Is 67.6

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3 years ago

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2 years ago

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2 years ago

today a boat valued at $45,000.Thebvalue is expected to decrease at a rate of 8.5% each year.What is the value of the boat expec

Stels [109]

Current value of the boat = $45000

Rate at which the value decrease = 8.5%

Value decreased after 1 year = $\frac{8.5}{100}\times45000=3825$

Hence, value becomes = $45000-3825=41175$

Value decreased after 2nd year =

$\frac{8.5}{100}\times41175=3499.875$

Hence, value becomes = $41175-3499.875=37675.125$

Value decreased after 3 year =

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Hence, value becomes = $37675.125-3202.385=34472.74$

So, value of the boat after 3 years becomes $34472.74

3 0

3 years ago

PLEASE HELP ME! Drag the expressions into the boxes to correctly complete the table.

Kamila [148]

The polynomials are:

$x^4+3x^3-5x^2-7x+20$

$x^3-2x^2+x-12$

$x^2+3x^5-6x+12x^3$

Not a polynomial are:

$4\sqrt[3]{x} -\sqrt{x} -20$

$\frac{5}{x^3}-\frac{1}{x^2}+\frac{8}{x}-40$

$x^{-3}-x^{-2}-6x^{-1}+8$

Solution:

Polynomial is an expression with variables and coefficients,

Which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables

Option 1

$4\sqrt[3]{x} -\sqrt{x} -20$

Polynomial does not include roots

This is not a polynomial equation

Option 2

$x^4+3x^3-5x^2-7x+20$

This is polynomial expression involving addition and subtraction between terms with non-negative integer exponents of variables

Option 3

$\frac{5}{x^3}-\frac{1}{x^2}+\frac{8}{x}-40$

This is not a polynomial. This equations involves negative integer exponents of variables

Option 4

$x^3-2x^2+x-12$

This is a polynomial involving addition and subtraction between terms with non-negative integer exponents of variables

Option 5

$x^{-3}-x^{-2}-6x^{-1}+8$

This is not a polynomial. This equations involves negative integer exponents of variables

Option 6

$x^2+3x^5-6x+12x^3$

This is a polynomial involving addition and subtraction between terms with non-negative integer exponents of variables

5 0

2 years ago