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The value of number 1 / 4 is a Rational number.

A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

We have to given that;

The number is,

⇒ 1 / 4

Now, Number 1 / 4 is of the form p / q (fraction form).

Hence, We can say that;

The value of number 1 / 4 is a Rational number.

Thus, It is a Rational number.

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Answer: Permutation

Permutation is a way, in which a set or number of things can be ordered or arranged. It is a listing where order matters and each thing in the list of things appears only once.

 In Mathematics, permutation is the action of changing the arrangement of a set of items. .It is also called an "arrangement number" or "order 

The opposite of 890 is -890, which means -890 added to 890 equals zero.

The opposite of a number is defined as a number that, when added to the original number, results in zero. To find the opposite of a number, you simply change its sign. If the number is positive, the opposite is negative, and if the number is negative, the opposite is positive. Therefore, the opposite of 890 is -890.

For a 6-digit zip code with no restrictions, there would be 1,000,000 possible zip codes. If the first digit could not be a '0', the number of possible zip codes would decrease to 900,000.

We're dealing with a counting problem here. This problem involves basic principles of combinatorics.

Firstly, if there are no restrictions on the digits used, each of the six positions in the zip code can hold any digit from 0 to 9. There are 10 choices (from 0 to 9) for each of the 6 digits in the zip code which leads to 10^6 = 1,000,000 possible zip codes.

However, if the first number could not be 0, there are 9 possible choices for the first digit and 10 choices for each of the remaining 5 digits. Therefore, the number of possible zip codes would be 9 * 10^5 = 900,000.

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This is a problem of system of linear equations. We form two equations from the conditions given in the problem, and solve the system of equations to find the number of text messages and pictures sent.

This is a problem of system of linear equations. Here are two conditions mentioned: The total cost and difference of number of text messages and pictures.

Let's denote the number of text messages as x and pictures as y as per your question.

From the cost, we have the equation: $0.05x + $0.10y = $4.

From the difference of the number of sent messages and pictures, we have: x = y + 5.

Now we can substitute x from the second equation into the first one, get the value for y, and calculate the value for x after. Here you have step-by-step solution for your problem.

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Answer:

centimeters to kilometers

Step-by-step explanation:

Answer:

-23/36 pi

Step-by-step explanation:

(-115 x pi) / 180

Answer:

Solution-

∵ cotx = (cosx÷sinx)

∴ The given expression can be written as

sinx + cotx·cosx = sinx + ( cosx÷ sinx).cosx

⇒sinx +(cosx)²÷sinx = [ (sinx)² + (cosx)²] ÷ sinx

⇒ 1÷ sinx = cosecx = cscx

using the identity (sinx)²+(cosx)²=1

∴ option B is correct.

In the given set, the mean is 64, the median is 66, there is no mode, and the range is 62.

To find the mean, median, mode, and range of the given set of numbers: 83, 75, 74, 40, 85, 64, 23, 68.

1. Mean:

[tex]\[ \text{Mean} = \frac{\text{Sum of all numbers}}{\text{Total number of numbers}} \][/tex]

[tex]\[ \text{Mean} = \frac{83 + 75 + 74 + 40 + 85 + 64 + 23 + 68}{8} \][/tex]

[tex]\[ \text{Mean} = \frac{512}{8} \][/tex]

[tex]\[ \text{Mean} = 64 \][/tex]

2. Median:

The median is the middle number when the numbers are arranged in ascending order.

Arranging the numbers in ascending order: 23, 40, 64, 68, 74, 75, 83, 85

Since there are 8 numbers, the median is the average of the two middle numbers:

[tex]\[ \text{Median} = \frac{64 + 68}{2} \][/tex]

[tex]\[ \text{Median} = 66 \][/tex]

3. Mode:

The mode is the number that appears most frequently.

In this set, there is no number that appears more than once.

So, there is no mode.

4. Range:

The range is the difference between the largest and smallest numbers.

[tex]\[ \text{Range} = \text{Largest number} - \text{Smallest number} \][/tex]

[tex]\[ \text{Range} = 85 - 23 \][/tex]

[tex]\[ \text{Range} = 62 \][/tex]

So, for the given set of numbers, the mean is 64, the median is 66, there is no mode, and the range is 62.

The expression that is equal to the rational expression when x does not equal to 5 or -1 is; (x - 7)/(x -5)

We want to simplify the algebraic expression;

(x - 7)(x + 1)/(x + 1)(x - 5)

Now, looking at the given expression, we see that (x + 1 ) is common to both numerator and denominator and as such they will cancel out to leave us with;

(x - 7)/(x -5)

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False. A Fermi estimate doesn't rely on geometry. It's a method for approximating large numbers using basic assumptions and math.

False. A Fermi estimate is not reliant on geometry to estimate measurements of real-world objects.

Instead, it's a method for making quick, rough approximations of quantities or numbers, especially when precise data is unavailable or impractical to obtain. Named after physicist Enrico Fermi, this approach involves breaking down complex problems into simpler components, making reasonable assumptions, and using basic mathematics to arrive at an estimate.

While geometry might be employed in some cases, Fermi estimates primarily focus on leveraging broad understanding and educated guesses to reach ballpark figures rather than precise calculations based on specific measurements.