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2 years ago

Write at least four rational numbers between -2/5 and -1/3.

Mathematics

2 answers:

castortr0y [4]2 years ago

7 0

Answer: -3/5, -1/2, -7/12, -6/11

OleMash [197]2 years ago

4 0

Answer:

-0.34, -0.35, -0.36, -0.37

Step-by-step explanation:

A rational number can be any number, negative or positive, so long as if the decimals (if any) terminate at some point or at least repeats itself.

- $\frac{2}{5}$ = -0.4

- $\frac{1}{3}$ = -0.333_ (This means that the digit "3" is repeated forever)

Thus, the possible rational numbers can be:

-0.34

-0.35

-0.36

-0.37

-0.38

-0.39

You can even write decimals like -0.334 since it is bigger than -0.333_ but smaller than -0.4.

You might be interested in

The base of the pyramid is a square what is the surface area if the pyramids height is 4 feet in the area of the base is 36 ft.?

KATRIN_1 [288]

Answer:

96 ft²

Step-by-step explanation:

The general formula for the surface area of a pyramid is:

SA = $\frac{1}{2}$ pl + B, were p = the perimeter of the base, l = the slant height and B = the area of the base

Since the area of the base is 36 ft², then each side is √36, or 6 ft. The perimeter is the sum of all the sides, so 6 x 4 = 24 ft.

Given the overall height of the pyramid is 4 feet, you can use the Pythagorean Theorem (a² + b² = c²) to find the slant height (hypotenuse) of the pyramid. Using 3 feet for 'a' and 4 feet for 'b':

3² + 4² = c² or 9 + 16 = 25

25 = c² or c = 5

SA = $\frac{1}{2}$ (24)(5) + 36

SA = 60 + 36 = 96 ft²

8 0

3 years ago

Does the series converge or diverge? If it converges, what is the sum? Show your work. ∑ ∞ n = 1 − 4 ( − 1 / 2 ) n − 1

Mekhanik [1.2K]

Answer:

Step-by-step explanation:

Given the series,

∑ ∞ n = 1 − 4 ( − 1 / 2 ) n − 1

I think the series is summation from n = 1 to ∞ of -4(-1/2)^(n-1)

So,

∑ − 4 ( − ½ )^(n − 1). From n = 1 to ∞

There are different types of test to show if a series converges or diverges

So, using Ratio test

Lim n → ∞ (a_n+1 / a_n)

Lim n → ∞ (-4(-1/ 2)^(n+1-1) / -4(-1/2)^(n-1))

Lim n → ∞ ((-4(-1/2)^(n) / -4(-1/2)^(n-1))

Lim n → ∞ (-1/2)ⁿ / (-1/2)^(n-1)

Lim n→ ∞ (-1/2)^(n-n+1)

Lim n→ ∞ (-1/2)^1 = -1/2

Since the limit is less than 0, then, the series converge...

Sum to infinity

Using geometric progression formula

S∞ = a / 1 - r

Where

a is first term

r is common ratio

So, first term is

a_1 = -4(-½)^1-1 = -4(-½)^0 = -4 × 1

a_1 = -4

Common ratio r = a_2 / a_1

a_2 = 4(-½)^2-1 = -4(-½)^1 = -4 × -½ = 2

a_2 = 2

Then,

r = a_2 / a_1 = 2 / -4 = -½

S∞ = -4 / 1--½

S∞ = -4 / 1 + ½

S∞ = -4 / 3/2 = -4 × 2 / 3

S∞ = -8 / 3 = -2⅔

The sum to infinity is -2.67 or -2⅔

Check attachment for better understanding

3 0

3 years ago

Does anyone have the questions answered

nata0808 [166]

Answer:

no can you help me

Step-by-step explanation:

6 0

2 years ago

Which inequality does this graph represent?

sp2606 [1]

Yea the Answer is B: 3y - 6x > -6

I used Desmos (Graphing Calculator)

5 0

2 years ago

Read 2 more answers

Suppose a rectangular garden plot has a length that can be expressed as x+2 feet and a width expressed as x+7 feet. Write a poly

mafiozo [28]

Answer:

$Area = x^2 + 9x + 14$

$Perimeter = 4x + 18$

Step-by-step explanation:

Given:

Length of rectangular garden = (x + 2) ft

Width = (x + 7) ft

Required:

a. Polynomial expression of the area of the garden

b. Polynomial expression of the perimeter of the garden

SOLUTION:

Area of the rectangular garden = length × width

$Area = (x + 2)(x + 7)$

Expand using the distributive property of multiplication

$Area = x(x + 7) +2(x + 7)$

$Area = x^2 + 7x + 2x + 14$

$Area = x^2 + 9x + 14$

Perimeter = 2(length) + 2(width)

$Perimeter = 2(x + 2) + 2(x + 7)$

$Perimeter = 2x + 4 + 2x + 14$

Collect like terms

$Perimeter = 2x + 2x + 4 + 14$

$Perimeter = 4x + 18$

6 0

2 years ago

Write at least four rational numbers between -2/5 and -1/3.​

Write at least four rational numbers between -2/5 and -1/3.