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2 years ago

Find the number of 4 digit numbers that can be formed using the digits 1,2,3,4,5 if no digits is no repeated

Mathematics

1 answer:

loris [4]2 years ago

4 0

Answer:

5 different numbers, 2 even

Step-by-step explanation:

Since we have 5 digits and they are non repeating we can use the permutation formula:

$P(n, k) = \frac{n!}{k!}, $where $ k \leq n ; k, n \in \mathbb{N}$

It gives us the amount of ways to arrange k objects out of n objects without repetition, but order does matter.

In our case the amount of 4 digit numbers that can be formed using the digits from 1 to 5 is: $P(5, 4) = \frac{5!}{4!} = 5.$

And out of those 5, only 2 are even

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What are all of the rational zeros of the function g(x) = x^4- x^3+ 4x^2- 4x?

Darya [45]

Yo sup??

We can solve this questions by trying option verification.

We observe that 0 is common among all the options so 0 has to be a zero of the function.

when x=1

g(1)=1-1+4-4=0

Therefore 1 is also a zero of the function.

Since 1 is not there is option 2 and 3, hence our answer is either option 1 or 4

when x=2

g(2)=16-8+16-8=0

Therefore 2 is also a zero of the function.

Hence the correct answer is option D ie 0,1,2

Hope this helps.

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3 years ago

What is 37.50 rounded to the nearest tenth?

photoshop1234 [79]

37.50 rounded to the nearest tenth is 37.5

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3 years ago

Read 2 more answers

The difference of twice a number and five is three. Find the number.

Katyanochek1 [597]

Answer:

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3 years ago

You are driving in France and see the price of gasoline is 2.099 euros per liter. Use the facts below to calculate the price in

Dahasolnce [82]

Answer: $\$10.503$

Step-by-step explanation:

Knowing that the price of gasoline in France is 2.099 euros per liter, you can follow these steps in ordere to calculate the price of the gasoline in US dollars per gallon:

1. Convert 2.099 euros to US dollars:

$(2.099\ euros)(\frac{1\ US\ dollar}{0.7564\ euros})=2.774\ US\ dollars$

Then, the price in US dollars per liter is $2.774\ US\ dollars\ per\ liter$

3. Knowing that:

$1\ liter=1.0567\ quarts\\\\4\ quarts = 1\ gallon$

You can make the conversion from 1.0567 quarts to gallons:

$(1.0567\ quarts)(\frac{1\ gallon}{4\ quarts})=0.2641\ gallons$

4. Set up the following proportion:

$\frac{2.774}{0.2641}=\frac{x}{1}$

Where "x" is the the price in US dollars per gallon.

5. Solving for "x", you get:

$\frac{(2.774)(1)}{(0.2641)}=x\\\\x=10.503$

8 0

3 years ago

Part A: Create an example of a polynomial in standard form. How do you know it is in standard form? (5 points)

Burka [1]

Answer:

The "Standard Form" for writing down a polynomial is to put the terms with the highest degree first.

For example, the polynomial f(x)=x5+2x3−x2+2x+1 is in standard form because the highest degree terms are kept first.

The problem 3 + 6 = 9 demonstrates the closure property of real number addition.

Observe that the addends and the sum are real numbers.

The closure property of real number addition states that when we add real numbers to other real numbers the result is also real.

In the example above, 3, 6, and 9 are real numbers

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3 years ago