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4 years ago

Mixed numbers between 0 and 2 with an interval of 1/3 between each pair of mixed numbers

1 answer:

3 0

A mixed number is a whole number plus a fraction.The smallest whole number is 1.So no mixed number can be less than 1.
Mixed numbers that are 1/3 apart and are between 0 and 2
could be (1-1/3) and (1-2/3).
They could also be (1-1/6), (1-1/2), and (1-5/6) .

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Use the Associative Property of Addition to write an expression equivalent to r+ (h+t). r+ (h+t) = Enter your answer in the answ

svlad2 [7]

Answer:

Associative propertry of addition.

Step-by-step explanation:

The associative property of addition states that:

$a+(b+c) = (a+b)+c$

It states that we can add numbers regardless of the groups. The sum does not change irrespective of how the addends are grouped.

We are given the expression:

$r + (h + t)$

It can be written as:

$(r+h) + t$

It can also be written as:

$r + (h+t) = (r+t) + h = (h+t)+r = h + (t+r)$

Whatever maybe the arrangement of r, h and t, their sum will always be equal. We can regroup them in many ways but the sum remains the same.

4 0

3 years ago

Which of the following is perpendicular to 4x - 3y = 8?

vivado [14]

Answer:

a.-8x-12y

Step-by-step explanation:

i hope it will help u

8 0

3 years ago

the following are the changes of a value of a certain stock over the last 5 days: -$7, +$3, +$6, -$2, -$5. find the mean and int

jarptica [38.1K]

-7+3+6-2-5. = -5. /5. = -1. That means that they lost $1 a day

4 0

3 years ago

Read 2 more answers

Find function domain <br> f(x) = sqrt( 2sin x - 1 )

vekshin1

Answer:

{x ∈ ℝ : x ≥ π/6 +2πn and x ≤ π/6 + 2πn and n ∈ ℤ}

Step-by-step explanation:

sinx can run from -1 to +1

2sinx can run from -2 to +2

2sinx -1 can run from -3 to +1

However, the square root is imaginary when x < 0. So, the condition is

2sinx -1 ≥ 0

2sinx ≥ 1

sinx ≥ ½

x ≥ π/6 (30°)

So, in the interval [0, 2π], π/6 ≤ x ≤ 5π/6

However, the sine is a cyclic function and repeats itself every 2π.

Over all real numbers, the condition is (π/6 +2πn) ≤ x ≤ (5π/6 + 2πn).

The domain is then

{x ∈ ℝ : x ≥ π/6 +2πn and x ≤ π/6 + 2πn and n ∈ ℤ}

5 0

3 years ago

PLEASE HELP<br>L has y-intercept (0,5) and is perpendicular to the line with equation y=1/3x+1

marin [14]

Answer:

y=-3x+5

Explanation:

Given a line L such that:

• L has y-intercept (0,5); and

• L is perpendicular to the line with equation y=(1/3)x+1.

We want to find the equation of the line in the slope-intercept form.

The slope-intercept form of the equation of a straight line is given as:

$\begin{equation} y=mx+b\text{ where }\begin{cases}m={slope} \\ b={y-intercept}\end{cases} \end{equation}$

Comparing the given line with the form above:

$y=\frac{1}{3}x+1\implies Slope,m=\frac{1}{3}$

Next, we find the slope of the perpendicular line L.

• Two lines are perpendicular if the product of their slopes is -1.

Let the slope of L = m1.

Since L and y=(1/3)x+1 are perpendicular, therefore:

$\begin{gathered} m_1\times\frac{1}{3}=-1 \\ \implies Slope\text{ of line L}=-3 \end{gathered}$

The y-intercept of L is at (0,5), therefore:

$y-intercept,b=5$

Substitute the slope, m=-3, and y-intercept, b=5 into the slope-intercept form.

$\begin{gathered} y=mx+b \\ y=-3x+5 \end{gathered}$

The equation of line L is:

$y=-3x+5$

7 0

1 year ago