1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ipn [44]
2 years ago
7

A padlock has the digits 0 through 9 arranged in a circle on its face. A combination for 0 1 2 3 4 6 5 7 8 9 this padlock is fou

r digits long. Because of the internal mechanics of the lock, no pair of consecutive numbers in the combination can be the same or one place apart on the face. For example 0-2-7-1 is a valid combination, but neither 0-4-4-7 (repeated digit 4) nor 3-0-9-5 (adjacent digits 0-9) are permitted. How many combinations are possible?
Mathematics
1 answer:
stepan [7]2 years ago
8 0

Answer:

The total numbers of possible combinations are 3430.

Step-by-step explanation:

Consider the provided information.

A combination for 0 1 2 3 4 6 5 7 8 9 this padlock is four digits long. Because of the internal mechanics of the lock, no pair of consecutive numbers in the combination can be the same or one place apart on the face.

Here, for the first digit we have 10 choices.

For the second digit we have 7 choices, as the digit can't be the same nor adjacent to the first digit.

For the third digit we have 7 choices, as the digit can't be the same nor adjacent to the second digit.

For the fourth digit we have 7 choices, as the digit can't be the same nor adjacent to the third digit.

So the number of choices are:

10\times 7\times 7\times 7=10\times 7^3\\10\times 343=3430

Hence, the total numbers of possible combinations are 3430.

You might be interested in
To wash a window that is 12 feet off the ground, Wayne leans a 13-foot ladder against the
AlladinOne [14]

Answer:

5 meters

Step-by-step explanation:

Based on the situation, it forms into a right triangle. So we will apply the Pythagorean Theorem here. The ladder acts as the hypotenuse while the height from the ground to the window serves as our side "a". We are tasked to solve for "b". Side "b" is the distance from foot of side a to the tip of side c which is the hypotenuse (ladder). We will derive the formula below to solve for b.

c = √( a² + b² )

c² = a² + b²

b² = c² - a²

b = √ ( c² - a² )

b = √ ( 13² - 12² )

b = 5 meters

Correct me if I'm wrong. I hope it helps.

3 0
2 years ago
Which equation represents the function shown on the graph?<br> y=1/4x<br> y=1/2x<br> y=2x<br> y=4x
Alexus [3.1K]
Y=4x. y=mx+b m=slope b=y intercept m=4 because it goes up 4 over 1 and 4/1=4 b=0 because it started at 0, making the equation y=4x+0 or just y=4x
5 0
2 years ago
Read 2 more answers
Find the exact value of the remaining trigonometric functions given: Tan x = Undefined Sin x &gt; 0
finlep [7]

Answer:

  • sin(x) = 1
  • cos(x) = 0
  • cot(x) = 0
  • csc(x) = 1
  • sec(x) = undefined

Step-by-step explanation:

The tangent function can be considered to be the ratio of the sine and cosine functions:

  tan(x) = sin(x)/cos(x)

It will be undefined where cos(x) = 0. The values of x where that occurs are odd multiples of π. The smallest such multiple is x=π/2. The value of the sine function there is positive: sin(π/2) = 1.

The corresponding trig function values are ...

  tan(x) = undefined (where sin(x) >0)

  sin(x) = 1

  cos(x) = 0

__

And the reciprocal function values at x=π/2 are ...

  cot(x) = 0 . . . . . . 1/tan(x)

  csc(x) = 1 . . . . . . .1/sin(x)

  sec(x) = undefined . . . . . 1/cos(x)

3 0
2 years ago
What is the answer of 9-2x= -23
Lana71 [14]
X=7
Step 1: add nine to both sides it becomes
-2x=-23+9 —> -2x=-14
Step 2: divide by -2 on both sides it becomes
X=-14/-2 —> x=7
8 0
3 years ago
Please help answer!!!! <br> will try and give brainliest if i can.<br> need all four answers!
Ivahew [28]

Answer:

a is option c

b is 17.5

c is 9

Step-by-step explanation:

I do not know if all of these are right

6 0
3 years ago
Other questions:
  • For Every 12 Student in a group there are 2 adults if there are 96 students how many adults are on the field trip
    6·2 answers
  • What is the value of x?
    5·1 answer
  • If f(x)= 5x-3 what is f(-4)
    13·1 answer
  • Please help pick which option. I will mark brainlist.
    15·1 answer
  • Find the measure of CD.<br> mCD= [?] degrees
    14·1 answer
  • 30 POINTS!!! Louie is trying to find a rectangular canvas for his art project. Its diagonal must measure 23.3 inches and form a
    12·2 answers
  • PLEASE HELP I NEED THIS BRAINLISEST AND 20 POINTS
    7·1 answer
  • A line goes through the points (8,9) (-2,4)
    8·1 answer
  • How would you solve x^3=8
    10·1 answer
  • Brenda buys a shirt for $40. She has a coupon for 25% off. What is 25% of $40?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!