Write each power as a product of factors 2^4
4^2
9^2
8^5
5^3
7^3

Answers

Answer 1
Answer: 2^(4)⇒2×2×2×2⇒16
4^(2)⇒4×4⇒16
9^(2)⇒9×9⇒81
8^(5)⇒8×8×8×8×8⇒32.768
5^(3)⇒5×5×5⇒125
7^(3)⇒7×7×7⇒343

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For security, a credit card number is coded in the following way, so that it can be sent as a message. Subtract each digit from 9. 1. Code the credit card number 3201 2342 3458 0931.

2. A coded credit card number is 2341 0135 7923 0133. What is the original credit card number?

3. Find f(x) if x represents a single input digit. What is the domain
of f(x)?

4. Find f-1(x). What is the domain of f-1(x)?

Answers

Answer:

1.  6798 7657 6541 9068.

2. 7658 9864 2076 9866.

3. f(x)=9-x and domain of f(x) is {0,1,2,3,4,5,6,7,8,9}.

4.f^(-1)(x)=9-x and domain of f⁻¹(x) is {0,1,2,3,4,5,6,7,8,9}.

We are given that,

The coding method for the card number is 'Subtract each digit from 9'.

So, we have,

Part 1: The number given is 3201 2342 3458 0931.

So, after subtracting each digit from 9, we have,

The coded number is 6798 7657 6541 9068.

Part 2: The coded number given is 2341 0135 7923 0133.

To find the original number, we will subtract the digits from 9.

The original number is 7658 9864 2076 9866.

Part 3: We have f(x), where x represents the single input digit.

That is, 'x' can have values from {0,1,2,3,4,5,6,7,8,9}.

As, the coded output is the number subtracted from 9.

We get, the function isf(x)=9-x.

So, the domain of f(x) is {0,1,2,3,4,5,6,7,8,9}.

Part 4: We need to find the inverse function.

So, we have, f(x)=9-x i.e. x=9-f(x).

Thus, the inverse function isf^(-1)(x)=9-x

Since, the range of f(x) is the domain of f⁻¹(x).

The domain of f⁻¹(x) is {0,1,2,3,4,5,6,7,8,9}.

What was the original price if: after 10% discount it becomes $450?

Answers

Answer: Original Price=$450


Step-by-step explanation:

Price post discount=$450

Discount=10%

Let the original price be x

Given x - 10% of x=450

x-(10)/(100)* x

(100x-10x)/(100)=450

(90x)/(100)=450

x=(100*450)/(90)

On solving

x=500$

The original price =500$

The original price before the 10% discount was about $500.

What is the  original price?

To know the original price before the discount, one can use the following formula:

Original Price = Discounted Price / (1 - Discount Percentage)

So, the discounted price is $450, and the discount percentage is 10%.

To calculate the original price:

Original Price = $450 / (1 - 0.10)

= $450 / 0.90

-  $500

Therefore, the original price before the 10% discount was about $500.

Read more about  discount  here:

brainly.com/question/12965533

#SPJ6

is the following statement true or false? if the sum of three numbers is negative then all three numbers are negative, explain.

Answers

it is true!!!! hope this helps


3•3•3•2=? Idk what else to write so 1234567891012345678910

Answers

Answer: 54

Step-by-step explanation:

3x3=9

9x3=27

27x2=54

Complete the sentence 0.04 is 1/10 of???
how was you able to get the answer plz explain

Answers

We have an equation: 0.04/? = 1/10

Cross multiply:
1*? = 0.04*10
⇒ ? = 0.04*10/1= 0.4

0.04 is 1/10 of 0.4~
0.04 is 1/10 of 0.4 
All you do is multiply 0.04 to 10.

A right triangle has a vertex at point A, a height of 4 units, and a base of 5 units.Use the Polygon tool to draw the triangle.

Each segment on the grid represents 1 unit.

Answers

Answer:

The triangle is shown in the below diagram.

Step-by-step explanation:

It is given that each segment on the grid represents 1 unit and point A is a vertex of a right angle triangle.

The height of triangle is 4 units, and the base is 5 units.

Let the coordinates of A be (x,y).

There are many possibilities to draw a right angled triangle having height 4, base 5 and vertex at A.

The height of the triangle is 4 units, so the coordinate of another vertex B is (x,y+4).

The base of the triangle is 5 units, so the coordinate of another vertex C is (x+5,y).

The triangle is shown in the below diagram.