MATHEMATICS HIGH SCHOOL

Which number is a perfect cube?
09
18
27
O 36

Answers

Answer 1
Answer:

Answer:

36

Step-by-step explanation:

a cube has 6 sides

6 squares on each side

36 divided by 6 = 6

6 x 6 = 36

hope this helps!

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We are given with height= 9 ft. Length=10 ft. Wall Brackets: 48-inch cost $12.95 68-inch cost $16.95 Distance from brackets from ends= 1 foot maximum . What is the total cost of the brackets, before tax?

Answers

Answer:

$89.7

Step-by-step explanation:

We are given with

height = 9 feet

length = 10 feet

wall brackets:

48-in costing $12.95

60-in costing $16.95

distance of brackets from ends = 1 foot

maximum distance between brackets= 24 inches

The brackets are

48/12 = 4 feet

and

60/12 = 5 feet

One of each must be used to cover the height of the shelf

The length of the shelf is

60 inch

subtracting 1 in from each side for the allowance

60 - 2 = 58 in

Dividing by 24 inches

58/24 = 2.41 ~ 3 

The total cost is

($12.95 + $16.95) * 3 = $89.7

The total cost of the brackets is $89.7

What is 6/10 plus 3/100

Answers

decimal form: 0.63
fraction form: (63)/(100)

Answer:

decimal form: 0.63

fraction form:  \frac{63}{100}

Step-by-step explanation:

3 goes after 6 and 100 replaces 10. For the decimal form you divide 63 by 100, which results in 0.63.

Which expression is a difference of cubes?
X^6-6
X^6-8
x^8-6
X^8-8

Answers

Answer: The correct expression is, x^6-8

Step-by-step explanation:

x^6 is represented in cube form as, (x^2)^3

'8' is represented in cube form as, 2^3

x^8 and '6' will not show cube form of integer power.

The expanded form of the given expression, x^6-8 is represented as,

x^6-8=(x^2)^3-2^3

This expression will showing the difference of cubes.

And the other options, x^6-6,x^8-6,x^8-8 will not show the difference of cubes.

Therefore, the correct answer is, x^6-8

The expression \boxed{{x^6} - 8} is a difference of cubes. Option (b) is correct.

Further Explanation:

The cubic formula can be expressed as follows,

\boxed{{a^3} + {b^3} = \left( {a + b} \right)\left( {{a^2} - ab + {b^2}} \right)}

Given:

The options are as follows,

(a). {x^6} - 6

(b). {x^6} - 8

(c). {x^8} - 6

(d). {x^8} - 8

Calculation:

8 is a cube of 2 and can be written as follows,

8 = {2^3}

{x^6} can be written as a cube of {x^2}.

{x^6} = {\left( {{x^2}} \right)^3}

Use the identity {a^3} + {b^3} = \left( {a + b} \right)\left( {{a^2} - ab + {b^2}} \right) in above expression.

\begin{aligned}{x^6} - 8&= {\left( {{x^2}} \right)^3}- {\left( 2 \right)^3} \n&= \left( {{x^2} - 2} \right)\left( {{x^4} + 2{x^2} + 4} \right)\n\end{aligned}

The expression \boxed{{x^6} - 8} is a difference of cubes. Option (b) is correct.

Option (a) is not correct.

Option (b) is correct.

Option (c) is not correct.

Option (d) is not correct.

Learn more:

1. Learn more about unit conversion brainly.com/question/4837736

2. Learn more about non-collinear brainly.com/question/4165000

3. Learn more aboutbinomial and trinomial brainly.com/question/1394854

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Exponents and Powers

Keywords: Solution, factorized form, x^12y^18+1, exponents, power, equation, power rule, exponent rule.

If h(2) = 3 and h'(2) = -7, find d/dx(h(x)/x) x = 2.

Answers

Answer:   -17/4

Work Shown

\frac{d}{d\text{x}}\left(\frac{h(\text{x})}{\text{x}}\right) = \frac{\frac{d}{d\text{x}}(h(\text{x}))*\text{x}-h(\text{x})*\frac{d}{d\text{x}}(\text{x})}{\text{x}^2} \ \text{ .... quotient rule}\n\n\frac{d}{d\text{x}}\left(\frac{h(\text{x})}{\text{x}}\right) = \frac{h'(\text{x})*\text{x} - h(\text{x})}{\text{x}^2}\n\n

Evaluate that at x = 2.

\frac{h'(\text{x})*\text{x} - h(\text{x})}{\text{x}^2}\n\n=(h'(2)*2 - h(2))/(2^2)\n\n=(-7*2 - 3)/(2^2)\n\n=-(17)/(4)\n\n

Therefore,

\frac{d}{d\text{x}}\left(\frac{h(\text{x})}{\text{x}}\right)=-(17)/(4) \ \text{ when h(2) = 3, h'(2) = -7, and x = 2}\n\n

System of equations - urgent please help ben is making a new Twitter account and has 72 followers on his first day. He averages 10 new followers each week after that. Sarah also started a Twitter account and has 100 followers on her first day and averages 3 new followers each week. After how many weeks will they have the same number of followers?

Answers

Answer:

4 weeks

Step-by-step explanation:

Step one:

ben has 72 followers on his first day.

He averages 10 new followers each week

let the number of weeks be x

and the total followers be y

y= 72+10x--------1

Sarah also started a Twitter account and

has 100 followers on her first day and averages

3 new followers each week

let the number of weeks be x

and the total followers be y

y= 100+3x--------2

Step two:

let us equate the two expression to get the number of weeks x

72+10x=100+3x

collect like terms

10x-3x=100-72

7x=28

divide both sides by 7

x=28/7

x= 4 weeks

What is 11/12 times 4/5 estimated

Answers