MATHEMATICS HIGH SCHOOL

Which is equivalent to 216 power of 1/3 ?
3
6
36
72

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

GIVEN :

$(216)^{(1)/(3) }$

Solution :

let

$(216)^{(1)/(3) }=x$

$216 = x^(3)$

$6^(3) = x^(3)$

⇒ x = 6

⇒ $(216)^{(1)/(3) }= 6$

Answer 2

Answer:

Answer:

Option (b) is correct.

$(216)^{(1)/(3)}=6$

Step-by-step explanation:

Given: 216 power of 1/3

We have to find an equivalent number to 216 power of 1/3

Consider 216 power of 1/3

Writing mathematically as, $(216)^{(1)/(3) }$

Also, 216 can be written as product of 6 three times that is 6× 6 × 6

Thus, $(216)^{(1)/(3)}=(6* 6* 6)^{(1)/(3)}$

Simplify, we get,

$(6* 6* 6)^{(1)/(3)}=(6^3)^{(1)/(3)}$

Apply property of exponents, we have,

$(a^n)^m=a^(nm)$

$(6^3)^{(1)/(3)}=6^{(3)/(3)}=6$

Thus, $(216)^{(1)/(3)}=6$

Option (b) is correct.

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True or False: 1. all trapezoids are scalene? 2. all squares are rhombuses? 3. all rectangles are squares? 4. all squares are rectangles? 5. all parallelograms are squares?

Answers

false, because are not the same thing because a square Is not a triangle so these aren't trapezoids at all because all trapezoids are not scalence

What is the solution to the system of equations? x=4y 6 x-3y=4

Answers

If you graph the two equations then you will find that they intersect at (-2,-2).

You then have to check your answer.

x=4y+6
(-2)=4(-2)+6
-2=-8+6
-2=-2

x-3y=4
(-2)-3(-2)=4
-2+6=4
4=4

From the digits 9, 8, 7, 5, 3, and 1, find the number of positive integers, each consisting of three digits

Answers

if we can repeat
6 numbers
6*6*6=216 ways

therea re 216 different 3 digit numbers you can make if we can repeat

if we cannot repeat
6*5*4=120, 120 ways if we cannot repeat numbers

216 and 120 since you didn't give the questions.

Determine the factors of 5x2 + 29x _ 6

Answers

The answer is (x + 6)(5x - 1).

5x² + 29x - 6 = 5x² + 30x - x - 6 =
= (5x · x + 5x · 6) - (x + 6) =
= 5x(x + 6) - 1(x + 6) =
= (x + 6)(5x - 1)

Answer:

The factors of given equation $5x^2+29x-6$ is $(5x-1)(x+6)$

Step-by-step explanation:

Given equation $5x^2+29x-6$

We have to determine the factors of given equation.

Quadratic equation is an equation with highest degree 2.

Consider the given quadratic equation $5x^2+29x-6$

We can solve the quadratic equation $5x^2+29x-6$ using middle term splitting method.

splitting middle term can be done by writing middle term in such a way that the product of coefficient is the product of remaining two terms.

29x can be written as 30x-1x

$\Rightarrow 5x^2+29x-6$

$\Rightarrow 5x^2+30x-x-6$

Taking 5x common from first two terms and -1 from last two terms , we have,

$\Rightarrow 5x(x+6)-1(x+6)$

$5x^2+29x-6=(5x-1)(x+6)$

Thus, the factors of given equation $5x^2+29x-6$ is $(5x-1)(x+6)$

If takes 5 farmers 10 days to plant a garden. How many days will it take 10 farmers?

Answers

Answer:

Step-by-step explanation:

2days

The answer is 5 days because you are using twice the number of farmers so it should take half the time to plant the garden

The price of a coat increased by 20% in December, and then decreased by 20% three months later. If the finalprice of the coat was $144, what was the original price of the coat before December ?