MATHEMATICS HIGH SCHOOL

Find the Value of 8 1/3

Answers

Answer 1

Answer:

The value of $8^{(1)/(3) }$ is 2.

What are the laws of exponents?

The Laws of Exponents are:

$x^(m) .x^(n) =x^(m+n)$

$(x^(m) )/(x^(n) ) =x^(m-n)$

$(x^{^(m))n}=x^(mn)$

$(xy)^(m) =x^(m) y^(m)$

According to the given question.

We have a number in exponential form $8^{(1)/(3) }$

The above exponential number can be written as

$8^{(1)/(3) }$

$= 2^{3((1)/(3) )}$ (because $2^(3) = 8$ )

$= 2$ ( because $(3)(1)/(3) = 1$ )

Hence, the value of $8^{(1)/(3) }$ is 2.

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Answer 2

Answer: $8^{ (1)/(3) } = \sqrt[3]{8} = 2$

$8^{ (2)/(3) } = \sqrt[3]{8^2} = \sqrt[3]{64} = 4$

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the Pentagon in Washington DC is immense in size with an outside wall 921 feet length what is the perimeter of the Pentagon

What is the answer [7×(6-1)] 100

Answers

Answer:

3500

Step-by-step explanation:

Answer:

3500

Step-by-step explanation:

you do the () which equals 5 then multiply it by seven then multiply it by 100

1 you type 500 words in 250 minutes find the wpm2. bus holds 32 students 192 students to use the bus. find the number of students per bus.

Could you please answer and explain? I haven't learned this yet.

Answers

1. wpm = number of words / number of minutes
so 500/250 = 2wpm

2. if one bus can hold 32 students, and you have 192 of them, divide the amount of students by the number that can fit on one bus
192/32 = 6 buses

I need to write an equation for:

ten times the sum of half a number and 6 is 8

Answers

Let's start with the easy part of this equation. We know it will end with = 8 because of the the phrase "is 8". Now let's work backwards, starting with the sum of half a number and 6. In this example, we will represent "a number" with x. To take half a number is to divide it by 2, so half a number would be x/2. The phrasing "the sum of" indicates addition, therefore the sum of half a number and 6 would be represented by x/2+6. Now for the the first part of the equation, ten times. This phrasing indicates multiplication, and so we will multiply 10 by the remainder of the equation, This gives us the answer of 10(x/2+6). Now all you have to do is add the equals sign and answer to make this expression and equation, and you get 10(x/2 + 6) =8

Verify the Pythagorean Identity 1 + cos^2(theta) = csc^2(theta)

Answers

1 + cot² t = csc² t
$1+cot ^(2) t = (1)/(sin ^(2) t) \n 1+ (cos^(2)t )/(sin^(2)t ) = (1)/(sin ^(2) t)$ / * sin² t
sin² t + cos² t = 1
1 = 1
We have confirmed the identity.

The verification for the Pythagorean identity 1 + cot²∅ = cosec²∅ will lead to sin²∅ + cos²∅ = 1

How to verify Pythagorean identity?

1 + cot²∅ = cosec²∅

Therefore,

cosec²∅ = 1 / sin²∅

cot²∅ = 1 / tan²∅ = cos²∅ / sin²∅

Hence,

1 + cos²∅ / sin²∅ = 1 / sin²∅

Therefore, multiply both sides by sin²∅

1(sin²∅) + (sin²∅) cos²∅ / sin²∅ = (sin²∅) 1 / sin²∅

sin²∅ + cos²∅ = 1

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What are the factor pairs of 23?

Answers

it is a prime, it doesn't have, the only (I don't know if your system counts 1,23 as factors but there are no others)

at murky middle school, 372 students ride the bus to school. if this number is 60% of high school enrollment, then how many students are enrolled at the school

Answers

372 divided by 60 give you 1% or 6.2. Take 6.2 times 100 for 100% of the students or 620 total students

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Max worked 6.23 hours on Monday, 7.45 hours on Tuesday, 8.3 hours on Wednesday, 8 hours on Thursday, and 5.21 hours on Friday. What is the total number of hours that Max worked?

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ABCD is a rectangle with angle abd=40 determine angle dbc

PLEASE HELPGiven: AABC with vertices A(5,-2), B(5, -7), and C(1, -2). Which set ofcoordinates best repositions the triangle to make a coordinate proof easier?o (0,0),(4,0), and (4.-5)O (0,0).(-4,0), and (0, -5)O(0,0). (0,4), and (5,0)O (0,0),(4,0), and (0, -5)None of the other answers are correct