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3 years ago

Which of the following shows the correct order for -1 2/5, (-1)², -1.4 repeating and (1/2)²

Mathematics

1 answer:

lukranit [14]3 years ago

4 0

Answer:

<h2>b. -1.4 repeating<-1 2/5<(1/2)²<(-1)²</h2>

Step-by-step explanation:

Calculate and convert the fractions (mixed number) to the decimals:

$-1\dfrac{2}{5}=-1\dfrac{2\cdot2}{5\cdot2}=-1\dfrac{4}{10}=-1.4\\\\(-1)^2=(-1)(-1)=1\\\\-1.4444...\\\left(-\dfrac{1}{2}\right)^2=\left(-\dfrac{1}{2}\right)\left(-\dfrac{1}{2}\right)=\dfrac{1}{4}=\dfrac{1\cdot25}{4\cdot25}=\dfrac{25}{100}=0.25$

We have

$-1.4;\ 1,\ -1.444...,\ 0.25$

Therefore

$-1.444...$

You might be interested in

Find the inverse, g−1(x), of the following function: g(x) = 4x - 11

Sphinxa [80]

Answer:

$g^{-1}$ (x) = $\frac{x+11}{4}$

Step-by-step explanation:

let y = g(x) and rearrange making x the subject, that is

y = 4x - 11 ( add 11 to both sides )

y + 11 = 4x ( divide both sides by 4 )

$\frac{y+11}{4}$ = x

Change y back into terms of x , with x = $g^{-1}$ (x) , thus

$g^{-1}$ (x) = $\frac{x+11}{4}$

7 0

3 years ago

A box of cereal states that there are 75 calories in a 34-cup serving. What is the unit rate for calories per cup? How many calo

xeze [42]

The unit rate is how many calories are in 1 cup of cereal.
Set up a proportion:
$\frac{75 cal}{3/4 cup} = \frac{X cal}{1 cup}$
Cross multiply and solve:
$\frac{3}{4} X = 75\\ 3X=300\\X=100$
There are 100 calories per cup of cereal.

To get the calories in 4 cups of cereal, simply multiply the unit rate of 100cals/cup by 4.
$100*4=400$
There are 400 calories in 4 cups of cereal.

8 0

4 years ago

Read 2 more answers

Please help me! II'll give you brainliest!

sweet [91]

Answer:

x=7

Step-by-step explanation:

4x-12=16

4x=28

x=7

5 0

3 years ago

A mouse climbs up a well of 86 meters. It advances 14 meters during the night, but during the day it retreats 2. The mouse will

Deffense [45]

Step-by-step explanation:

we assume day and night are equally long.

and the mouse will start at night of day 1.

then, on day 2, it will first retreat 2 meters (during daylight) and then advance 14 meters (at night).

so, on every full day, the mouse will effectively advance 12 meters (-2 + 14 = 12).

with a starting value of 14 (the first night).

so, we are getting an arithmetic sequence

an = an-1 + c

c = 12 in our case.

a1 = 14

a2 = a1 + 12 = 14+12 = 26

a3 = a2 + 12 = a1 + 12 + 12 = 14 + 2×12 = 38

an = a1 + (n-1)×12 = 14 + 12(n-1)

at what n will it reach 86 ?

86 = 14 + 12(n-1) = 14 + 12n - 12 = 2 + 12n

84 = 12n

n = 7

so, on the 7th day the mouse will reach the surface (if we truly count the first starting night day 1 - this is up to your teacher, but I would).

7 0

2 years ago

The tength of a picture frame is 12 cm more than twice the width. If the perimeter is 204cm, find the

alekssr [168]

Answer:

30cm x 72 cm

Step-by-step explanation:

The perimeter is the measurements of all sides added together. Let's start by dividing the perimeter by 2, so we have the sum of the length and width. This gives us 102cm. Let's call the width <em>x</em>, and the length <em>y</em>. We know <em>y</em> is <em>x</em> times 2 plus 12. (2x + 12) So, we know [x + y = x + (2x + 12)]. So let's solve.

x + y = x + (2x + 12)

102 = x + (2x + 12)

102 = 3x + 12

102 - 12 = 3x + 12 - 12

90 = 3x

90/3 = 3x/3

30 = x

The width is 30cm.

8 0

3 years ago