Part A: A keypad lock asks you to input a four-digit code. If you can choose any digit, 0 through 9, for each of the four digits, how many possible combinations are there? Part B: Suppose the similar keypad lock asks for a four-digit code but does not allow you to repeat a digit. How many possible combinations are there for this lock?

Answers

Answer 1

Answer:

A. 10,000 combinations

B. 5,040 combinations

Step-by-step explanation:

A. four-digit code from 0-9 without restriction

1st digit - 10 options

2nd digit - 10 options

3rd digit - 10 options

4th digit - 10 options

Number of possible options = 10 * 10 * 10 * 10 = 10^4 = 10,000 combinations

b. No repetition of digits

1st digit = 10 options

2nd digit = 9 options

3rd digit = 8 options

4th digit = 7 options

Number of possible choices = 10 * 9 * 8 * 7 = 5,040 combinations


Related Questions

What expressions are equivalent to 10^-5x10^2

Answers

Answer:

Answer= D and E

Step-by-step explanation:

(for two powers multiplied together we add them)

[tex]10^{-5}[/tex]×[tex]10^{2}[/tex]

=[tex]10^{-5+2}[/tex]

=[tex]10^{-3}[/tex]

this is the same as:

=[tex]\frac{1}{10^{3} } =\frac{1}{1000}[/tex] (as [tex]x^{-y}[/tex] is the same as [tex]\frac{1}{x^{y} }[/tex])

or

[tex](\frac{1}{10})^{3}[/tex] (as this is the same as [tex]\frac{1}{10}[/tex]×[tex]\frac{1}{10}[/tex]×[tex]\frac{1}{10}[/tex] which is equal to [tex]\frac{1}{1000}[/tex] the answer for the question)

Anthony save $1 from his first paycheck, $2 from his second paycheck, then $4,
$8, and so on. How much money did Anthony save from his tenth paycheck. *

Answers

Answer:24 dollars hope this helped

Step-by-step explanation:

Please HELP! will give brainliest

Answers

Answer:  angle D = 71 degrees

================================================

Explanation:

FGH is similar to EDC

Note the order of the letters. The order is important since it tells us how the letters pair up.

F and E are the first letters, so F and E pair up. This means F = E.G and D are the second letters, meaning that G = DH and C are the third letters showing that H = C.

The diagram shows G = 71. Since G = D, we know that D = 71 as well. You can use the substitution property or the transitive property (both are effectively the same).

----------

Side note: The angles G and D are the top most angles in the diagram, so this is a visual way to see how they pair up. Keep in mind that the diagram won't always be helpful because it may not be drawn to scale or something may be rotated to trick you. It's best to use the letter pairing method in the previous section above.

bailey ran 0.674 times aound her school track. what percentage of the track did she run around?

f: 0.0674%
G: 6.74%
H:64.4%
j: 674%

Answers

Answer:

0.674 as a percent. 0.674 is equivalent to 67.4%.

Hope this helps!

Someone please help! Asap

Answers

4x + 3 + 9x + 5 = 47
13x + 8 = 47
13x = 39
X = 3

9(3) + 5

Answer: 32
Answer :
X=3

Steps :

4x+3 + 9x+5
= 13x+8

Then
13x+8 = 47

X=3

What quadrant is point A located in?
A. Quadrant IV
B. Quadrant III
C. Quadrant I
D. Quadrant II
Someone pls help me ASAP

Answers

D, Quadrant II, hope this helps :)

Graph g(x), where f(x) = 4x − 2 and g(x) = f(x + 1).

a line labeled g of x that passes through points 0, negative 2 and 1, 2
a line labeled g of x that passes through points 0, negative 3 and 1, 1
a line labeled g of x that passes through points negative 1, negative 2 and 0, 2
a line labeled g of x that passes through points 0, negative 1 and 1, 3

Answers

9514 1404 393

Answer:

  a line labeled g of x that passes through points (-1, -2) and (0, 2)

Step-by-step explanation:

We can find the function g(x) to be ...

  g(x) = f(x+1) = 4(x+1) -2

  g(x) = 4x +2

This tells us the y-intercept is (0, 2), so the only viable answer choice is ...

  a line labeled g of x that passes through points (-1, -2) and (0, 2)

Answer:

Your answer would be C:]

Step-by-step explanation:

What is the decimal equivalent of 23/9
A. 25
B. 0.39
C. 2.39
D. 2.55

Answers

2.55

To find a decimal you need to divide y and x (y/x)  

What I did was I divided 23/9 and got 2.55555555556. And 2.55 is closest to 2.55555555556.

How do I turn a equation to factored form

Answers

Answer:

what equation is it?? bc it's important to know witch one

One car rental company charges $30 per day plus $0.25 per mile driven. A second company charges $40 per day plus $0.10 per mile driven. What is the minimum number of miles you must drive a one-day rental at the second company to be less expensive than the same rental at the first company?

Answers

Answer:

66.67=67mi.

Step-by-step explanation:

Two window washers start at the heights shown. One is​ rising, the other is descending. How long does it take for the two window washers to reach the same​ height? Explain.

21 ft high

rising 8 in./s

50 ft high

descending 11 in./s

After t​ seconds, the height of the rising window washer is exactly

nothing ​feet, and the height of the descending window washer is exactly

nothing feet. Setting these expressions equal to each other and solving for t yields the exact value t

nothing. Rounding to one decimal​ place, the window washers reach the same height after about

nothing seconds.

​(Simplify your​ answers.)

Answers

Answer: 18.32secs

Step-by-step explanation:

given data:

first washer

21 ft high

rising 8 in./s

second washer

50 ft high

descending 11 in./s

Solution:

initial height of first washer = 21 feet

1feet = 12inches

21 * 12 = 252inches

decending at a pace of 8inch/secs

= 252 + 8x

initial height of second washer

= 50 feet

= 50 * 12

= 600inches

descending at a pace of 11inch/secs

= 600 + 11x

At what time would they meet

252 + 8x = 600 + 11x

collect like terms

8x + 11x = 600 – 252

19x = 348

divide both sides by 19

19x/19 = 348/19

x = 18.32secs

The members of the gardening group plan to build a walkway through the garden as formed by the hypotenuse of each of the four triangles in the drawing. That way, the gardeners will be able to access all sections of the garden. Calculate the length of the entire walkway to the nearest hundredth of a yard. Show your work

Answers

Pythagoras' theorem is a basic relationship between the three sides of a right triangle. The length of the entire walkway to the nearest hundredth of a yard is 50.24 yds.

What is Pythagoras theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.

In order to calculate the length of the walkway, we need to calculate the value of b first. Therefore,  the value of b using the Pythagoras theorem can be written as,

[tex]D^2=12^2+b^2\\15^2=12^2+b^2\\225=144+b^2\\b^2= 81\\b=9[/tex]

As we  got the value of b, now the value of each of the four hypotenuses can be written as,

[tex]A = \sqrt{12^2+8^2} = \sqrt{208}=14.422\\\\B=\sqrt{6^2+8^2}=\sqrt{100} = 10\\\\C =\sqrt{6^2+9^2}=\sqrt{117} = 10.82\\\\D = 15[/tex]

Adding the value of all the hypotenuse to get the length of the walkway, therefore, the length will be,

[tex]Sum = A+B+C+D = 14.422+10+10.82+15 = 50.24[/tex]

Hence, the length of the entire walkway to the nearest hundredth of a yard is 50.24 yds.

Learn more about Pythagoras Theorem:

https://brainly.com/question/14461977

Put the numbers below in order from lowest to highest.

Please help!!! 50 points!!!

Answers

Answer: -23, -4, -126/42, .4, 5/6, square root of 36, 8, 17

Step-by-step explanation: you simplify all the fractions and square roots then determine the order.

The answer above is correct my dude

Solve for f.
4f = -2 + 5f

Answers

Answer:

f=2

Step-by-step explanation:

First, you move the variables to the left side of the equation and change its sign.

After doing so, you  have 4f -5f =2.

Now, combine like terms. 4f-5f = -f, or -1f. Either way is fine.

Your equation looks like this now: -f = -2

Now remove the negative symbols due to their being one on both side.

f=2

Mark brainliest if possible please! Have a nice day.

The function r(x) = –0.000345(x – 50)2 + 2.1 can be used to model the curve of a road designed to allow for water to run off in rainstorms depending on the distance from the shoulder of the road, x, in feet. A European firm studying these curves is going to convert feet to meters using the function m(x) = 0.3048x. Which composition can be used to model the curve of the road in terms of meters?

Answers

Answer:

- 0.000105156(x - 50)² + 0.64008

Step-by-step explanation:

Given the curve function model : -0.000345(x - 50)² + 2.1 ; Which is measured in feets :

To convert the curve model in feets to metres +, using the function :

m(x) = 0.3048x

Multiply m(x) by r(x)

Hence,

m(r(x)) = 0.3048(-0.000345(x - 50)² + 2.1)

m(x) = - 0.000105156(x - 50)² + 0.64008 ; measured in meters

Find all solutions to 3x2 + 2x + 1 = 0

Answers

Answer:

x = -3.5

Step-by-step explanation:

3 x 2 + 2x + 1 = 0

6 + 2x + 1 = 0

2x + 7 = 0

2x = -7

x = -7/2 = -3.5

Hope this helped! If not, please let me know! <3

5/-8 + 2/3
Evaluate it and in simplest form​

Answers

Answer:

1/24

Step-by-step explanation:

(-5/8)+2/3

(-15/24)+16/24

1/24

There are (64)2 ⋅ 60 pigs on a farm. What is the total number of pigs on the farm?

Answers

I’m bot sure if you ask 64^2 x 60 or 64 x 2 x 60. If you ask the first one, the answer is 245760. But if you ask the second one, the answer is 7680.

Answer:

If the question is (64)2 x 60, then the answer is 7,200

Step-by-step explanation:

a class has the same number of girls and boys only 8 boys were absent on a particular day and then the number of girls was double the number of boys what is the number of boys and girls​

Answers

The answer would be 32

Which graph shows a proportional relationship between x and y?

Answers

Answer:the last one

Step-by-step explanation:

Answer:  B

Step-by-step explanation:

I HAVE DONE THIS ALREADY

What is the equation of the line that passes through the point (6,-4) and has a
slope of -1/6

Answers

Answer:

y = -1/6x-3

hope this helps

Answer:

x+6y+18=0

Step-by-step explanation:

we have to use (y-y1)=m(x-x1)

now,(x1,y1)=(6,-4),m=-1/6

so, (y+4)=-1/6(x-6)

or,6y+24=-x+6

or,x+6y+24-6=0

x+6y+18=0 is the required equation.

Round 1,217 to the nearest thousand.

Answers

Answer:

1,000

Step-by-step explanation:

if it's past 1500 or in 1500 it would fall to 2000

but like it's less then 1,500 then it falls to 1000

hopefully it's right


Which equation has a slope of 3?
A) y = 3x + 4
B) y = 4x + 3
C) 3x + 4y = 24
D) 4x + 3y = 24

Answers

Answer:

a

Step-by-step explanation:

The answer is a hope this helps

An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 g of an alloy containing 12% copper with 78 g of an alloy containing 92% copper how many grams of copper are in the resulting mixture what percentage of the resulting mixture is copper

Answers

Given :

An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 g of an alloy containing 12% copper with 78 g of an alloy containing 92% copper.

To Find :

How many grams of copper are in the resulting mixture what percentage of the resulting mixture is copper.

Solution :

Mass of copper in 50 gm alloy = [tex]50\times 0.12 = 6\ gram[/tex].

Mass of copper in 78 gm alloy = [tex]78\times 0.98 = 76.44\ gram[/tex].

Total mass of copper, ( 6 + 76.44 ) gm = 82.44 gram.

Percentage of copper in resulting mixture :

[tex]\%=\dfrac{82.44}{50+78}\\\\\%=64.4\ \%[/tex]

Hence, this is the required solution.

Tony purchased a 15-foot-long-sub for a party. He cuts the sandwich into 5/12 foot sections. Into how many pieces does he cut the sandwich?

Answers

Answer:

3?

Step-by-step explanation:

Number of pieces in sandwich is 36 piece (Approx.)

Given that;

Sandwich size = 15 feet

Each piece = 5 / 12

Find:

Number of pieces in sandwich

Computation:

Number of pieces in sandwich = Sandwich size / Each piece

Number of pieces in sandwich = 15 / [5/12]

Number of pieces in sandwich  = 36 piece (Approx.)

Learn more:

https://brainly.com/question/14634000?referrer=searchResults

Which one is the right answer?

Answers

Answer:

angle 2 is 35 degrees

angle 3 is 55 degrees

Answer:

(below)

Step-by-step explanation:

since angles 3 + 4 are a right angle (90 degrees) 90 - 35 = 55. so, m of angle 3 = 55 degrees

1 is a right angle. so, m of angle 1 = 90 degrees

if all interior angle of a triangle add up to 180, angle 2 must equal 35

I really need help :( I would really appreciate it:)

Answers

Answer:

3,32,6,56

Step-by-step explanation:

1/3 minus 1/6 equals to???

Answers

Answer:

1/6

Step-by-step explanation:

In order to add or subtract fractions you have to have the same denominator for both factions. you do this through finding the Lowest Common Denominator (LCD) In this case it's six because both 3 and 6 (the denominators) can go into 6. So turn 1/3 into a fraction with 6 as the denominator through multiplying both the top and bottom of the fraction by 2

1/3 * 2/2 = 1*2/3*2 = 2/6

Then you can straightforwardly subtract

2/6 - 1/6 = 1/6

in an equation y varies directly as x varies. if y = 55 when x = 22, what is the value of x when y = 85?​

Answers

Answer:

x=34

Step-by-step explanation:

If you put Y and X into a ratio then it will be

5:2

because since their GCF is 11, then we will have to divide both of the numbers by 11.

If y=85 then that means that it was multiplied by 17. If we want them to stay within the same ratio, then we will have to multiply X (2) by 17.

That will get you 34.

I’ll give brainliest

Answers

The answer is 3x + 2y = 8
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