1/2 ÷ ______ = 2<br><br> Please help

Which number is irrational? ( MCC.8NS.1) A. √10, B. -√81 c. 5/4 d. 9.12

gregori [183]

Answer:

A. √10

Step-by-step explanation:

A rational number can be written as the ratio of two integers

A. √10

This cannot be simplified into the ratio of two integers, Square roots that cannot be simplified are irrational

B. -√81

- 9

-9/1 which is the ratio of two integers so it is rational

c. 5/4

This is the ratio of two integers so it is rational

d. 9.12

912/100

This is the ratio of two integers so it is rational

6 0

3 years ago

URGENT. WILL GIVE BRAINLIEST.

galben [10]

Answer:

A. Miguel has the greatest spread.

B. Considering the middle 50% of the training time, the person with the least spread is Adam.

C. Miguel is inconsistent with the time set for training compared to that of Adam.

Step-by-step explanation:

The spread of a data shows the range of the data.

Using the range to determine the spread of the given data:

A. The range of the two persons can be determined by:

Range = highest value - lowest value

So that:

Adam's range = 106 - 91

= 15

Miguel's range = 105 - 86

= 19

Comparing the range of the two, Miguel has the greatest spread.

B. Considering the middle 50% of the training time;

Adam - 103 105 104 106 100

Miguel - 88 86 89 93 105

Adam's 50% range = 106 - 100

= 6

Miguel's 50% range = 105 - 86

= 19

Considering the middle 50% of the training time, the person with the least spread is Adam.

C. The answers to parts 2(a) and 2(b) shows that; there is a wide variation (much inconsistency) in the time that Miguel spend during training, but a minimum variation in the time spent by Adam during training.

8 0

3 years ago

Is 3.734795.... a rational or irrational number? and why

Marina CMI [18]

Answer:

Let's look at what makes a number rational or irrational ...

Rational Numbers

A Rational Number can be written as a Ratio of two integers (ie a simple fraction).

Example: 1.5 is rational, because it can be written as the ratio 3/2

Example: 7 is rational, because it can be written as the ratio 7/1

Example 0.333... (3 repeating) is also rational, because it can be written as the ratio 1/3

Irrational Numbers

But some numbers cannot be written as a ratio of two integers ...

...they are called Irrational Numbers.

Example: π (Pi) is a famous irrational number.

Pi

π = 3.1415926535897932384626433832795... (and more)

We cannot write down a simple fraction that equals Pi.

The popular approximation of 22/7 = 3.1428571428571... is close but not accurate.

Another clue is that the decimal goes on forever without repeating.

Cannot Be Written as a Fraction

It is irrational because it cannot be written as a ratio (or fraction),

not because it is crazy!

So we can tell if it is Rational or Irrational by trying to write the number as a simple fraction.

Example: 9.5 can be written as a simple fraction like this:

9.5 =

19

2

So it is a rational number (and so is not irrational)

Here are some more examples:

Number As a Fraction Rational or

Irrational?

1.75

7

4

Rational

.001

1

1000

Rational

√2

(square root of 2) ? Irrational !

Square Root of 2

Let's look at the square root of 2 more closely.

square root 2 When we draw a square of size "1",

what is the distance across the diagonal?

The answer is the square root of 2, which is 1.4142135623730950...(etc)

But it is not a number like 3, or five-thirds, or anything like that ...

... in fact we cannot write the square root of 2 using a ratio of two numbers

... I explain why on the Is It Irrational? page,

... and so we know it is an irrational number

Famous Irrational Numbers

Pi

Pi is a famous irrational number. People have calculated Pi to over a quadrillion decimal places and still there is no pattern. The first few digits look like this:

3.1415926535897932384626433832795 (and more ...)

e (eulers number)

The number e (Euler's Number) is another famous irrational number. People have also calculated e to lots of decimal places without any pattern showing. The first few digits look like this:

2.7182818284590452353602874713527 (and more ...)

phi

The Golden Ratio is an irrational number. The first few digits look like this:

1.61803398874989484820... (and more ...)

radical symbol

Many square roots, cube roots, etc are also irrational numbers. Examples:

√3 1.7320508075688772935274463415059 (etc)

√99 9.9498743710661995473447982100121 (etc)

But √4 = 2 (rational), and √9 = 3 (rational) ...

... so not all roots are irrational.

pls, branliest :)

7 0

3 years ago

A rectangle is twice as long as it is wide. if its length is increase by 4 cm and its width is decreased by 3 cm, the new rectan

strojnjashka [21]

Now the width is w.
It's twice as long as wide, so now the length is 2w.

If the length is increased by 4 cm, the length will be 2w + 4.
The width is decreased by 3 cm, so the width will be w - 3.

The are of the new rectangle is 100 cm^2.

area = length * width

area = (2w + 4)(w - 3)

The area of the new rectangle is 100, so we get

(2w + 4)((w - 3) = 100

2w^2 - 6w + 4w - 12 = 100

2w^2 - 2w - 112 = 0

w^2 - w - 56 = 0

(w - 8)(w + 7) = 0

w - 8 = 0 or w + 7 = 0

w = 8 or w = -7

A width cannot be negative, so discard w = -7.

w = 8

The width is 8 cm.
The length is twice the width, so the length is 16 cm.

5 0

3 years ago

The table represents the temperature of a cup of coffee over time.

Harrizon [31]

Answer: first choice, exponential, because there is a relatively consistent multiplicative rate of change.

Explanation:

1) I have attached the figure with the data table that represents the temperature of a cup of coffee over time.

These are the data:

Time (min) ------ Temperature (°F)

0 ----------------------- 200

10 ---------------------- 180

20 --------------------- 163

30 --------------------- 146

40 ---------------------131

50 -------------------- 118

60 -------------------- 107

2) Since, the increase in time is constant, while the decrease in temperaute is not, you know that it is not linear.

3) The other two options involve exponential models.

The exponential models have a constant multiplicative rate of change, not additive. Therefore, the only feasible choice is the first one: temperature of a cup of coffee over time.

4) You can prove it:

i) Exponential models have the general form y = A [r]ˣ, where B is r is the multiplicative rate of change: any value is equal to the prior value multiplied by r:

y₁ = A [r]¹

y₂ = A[r]²

y₂ / y1 = r ← as you see this is the constant multiplicative rate of change.

ii) Test some data:

180 / 200 = 0.9

163 / 180 ≈ 0.906 ≈ 0.9

146 / 163 ≈ 0.896 ≈ 0.9

131 / 146 ≈ 0.897 ≈ 0.9

118 / 131 ≈ 0.901 ≈ 0.9

107 / 118 ≈ 0.907 ≈ 0.9

As you see all the data of the table have a relatively consistent multiplicative rate of change, which proves that the temperature follows an exponential decay; so the right choice is the first one.

6 0

3 years ago

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1/2 ÷ ______ = 2 Please help