There are several ways the door can be locked, these ways illustrate combination.
There are 3375 possible combinations
From the question, we have:
[tex]\mathbf{n = 5}[/tex] --- the number of digits
[tex]\mathbf{r = 3}[/tex] ---- the number of actions
Each of the three actions can either be:
Pressing one buttonPressing a pair of buttonsThe number of ways of pressing a button is:
[tex]\mathbf{n_1 = ^5C_1}[/tex]
Apply combination formula
[tex]\mathbf{n_1 = \frac{5!}{(5-1)!1!}}[/tex]
[tex]\mathbf{n_1 = \frac{5!}{4!1!}}[/tex]
[tex]\mathbf{n_1 = \frac{5 \times 4!}{4! \times 1}}[/tex]
[tex]\mathbf{n_1 = 5}[/tex]
The number of ways of pressing a pair is:
[tex]\mathbf{n_2 = ^5C_2}[/tex]
Apply combination formula
[tex]\mathbf{n_2 = \frac{5!}{(5-2)!2!}}[/tex]
[tex]\mathbf{n_2 = \frac{5!}{3!2!}}[/tex]
[tex]\mathbf{n_2 = \frac{5 \times 4 \times 3!}{3! \times 2 \times 1}}[/tex]
[tex]\mathbf{n_2 = 10}[/tex]
So, the number of ways of performing one action is:
[tex]\mathbf{n =n_1 + n_2}[/tex]
[tex]\mathbf{n =5 + 10}[/tex]
[tex]\mathbf{n =15}[/tex]
For the three actions, the number of ways is:
[tex]\mathbf{Action = n^3}[/tex]
[tex]\mathbf{Action = 15^3}[/tex]
[tex]\mathbf{Action = 3375}[/tex]
Hence, there are 3375 possible combinations
Read more about permutation and combination at:
https://brainly.com/question/4546043
Helppppppp!!!!!!!!!!
Answer:
c and d are monomial because they have only one term
describe rule for pattern 10, 30, 90, …
Answer:
it go by 20 then 30
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Each term is 3 times the previous term, that is
30 = 10 × 3 = 30
90 = 30 × 3 = 90
There is a common ratio between consecutive terms meaning the sequence is geometric.
(8.1 x 10⁻⁴) - (9.5 x 10⁻⁵)
Answer:
[tex]7.15*10^{-4}[/tex]
Step-by-step explanation:
[tex](8.1*10^{-4})-(9.5*10^{-5})=0.00081-0.000095\\\\=0.000715 = 7.15*10^{-4}[/tex]
Can someone please tell me the answer
Answer:
36 since they are similer triangles
Longer process:
24/24 = 36/x
solve this and you get 36
I just started this chapter someone help me with these 2 questions
Which of the following equations are models for the ordered pairs shown in the table?
A. Y=4X+1
B. Y=1/4 X+1
C. Y=-4X+1
D. Y=-1/4 X+1
WILL MARK BRAINLIEST
Step-by-step explanation:
Given:
x = 70y = 106Find: Z to two decimal places
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {x}^{2} + {z}^{2} = {y}^{2} \\ {70}^{2} + {z}^{2} = {106}^{2} \\ 4900 + {z}^{2} = 11236 \\ {z}^{2} = 11236 - 4900 = 6336 \\ z = \sqrt{6336} = 79.60[/tex]
guys pls help me!!!!!!
Answer: 100
Step-by-step explanation:
A line equals 180 so subtract 180-80 to get your answer.
HELP PLEASE!!!! I REALLY NEED HELP
Answer:
CDW stocks a broad selection of office furniture, supplies, and accessories from computer stands to cleaning wipes, paper shredders and monitor stands.
Step-by-step explanation:
! ! ! Angles ! ! !
(worth ten points)
~
Which of these statements are true?
A.) ΔA is similar to ΔB.
B.) ΔB is similar to ΔC.
C.) ΔA is similar to ΔC.
D.) All three triangles are similar.
Answer:
A.)
Step-by-step explanation:
a & b are the closest to each other.
Tu
Miguel measured the town library and made a scale drawing. The scale he used was
1 millimeter : 7 meters. The parking lot is 7 millimeters long in the drawing. How long is the
actual parking lot?
Answer:
The parking lot is actually 49 meters.
Rosie Belin worked these total weekly hours in four weeks of work: 45, 38, 42, and 43. Her job pays $14 for each hour worked. What AVERAGE gross pay did she earn per week for these four weeks of work?
Answer:
Add the total number of hours in the four weeks and multiply that with the hourly pay rate to find the total gross pay. Divide the total gross pay by 4 to find the weekly average gross pay. An employee may earn income from various sources. The total income is the sum of all the earnings and is called as.
=727
May I please receive help?
Please
Answer:
<R=56 degrees; <Q=62 degrees; <S=62 degrees
Step-by-step explanation:
5x+12=4x+22 (This is because the two angles are congruent to each other.)
x+12=22
x=10
Now, plug it in.
5(10)+12=50+12=62 degrees
62(2)=124 degrees (This is because the two angles are congruent and equal)
180-124=56 degrees
If the line t is a transversal of lines I and m, NAME THE SPECIAL ANGLE PAIR RELATIONSHIP of the given angle pairs.
Answer:
a. <1 and <3
Step-by-step explanation:
Choose the graph of this equation. y = 2.5x
Answer:
i think it is the one on the right bottom corner. dont take the answer from me if u dont want to
Step-by-step explanation:
Help me with problem plz
Answer:
It is SAS (side - angle - side)
Step-by-step explanation:
Both BCA and DCE cross from side then the angle and lastly side.
What is the sum of the 3rd
prime number and the 2nd
square number?
Step-by-step explanation:
First 3 Prime Numbers are
2 , 3 , 5
Therefore, Sum of the square of these numbers will be
2^2 + 3^2 + 5^2
= 4 + 9 + 25
= 38
Hence the answer is 38
Hello there!
The third prime number is
[tex]5.[/tex]
The second square number is 4. Add them together and get 9 as your answer.
Now, what is a prime number? It's a number that has only 2 factors (1 and itself)
If you multiply a number times itself, you get a square number.
Hope this helps you!
~Just an emotional teen who listens to her favourite songs
[tex]Silent Nature[/tex]
I WILL REPORT LINKS!!!
Please show the steps.
[tex]\left(x^{\frac{1}{6}}y^{\frac{1\:}{3\:}}\right)^{-18}[/tex]
Answer:
what?
Step-by-step explanation:
PLEASE ANSWER THIS FAST!!!!!!!!!
If you paint all the walls in a room, how many square feet do you need to cover.
The east wall is 3 yds long
The South wall is 10 ft long but has a window that is a 5x3
The west wall is 3 yds long but has a door, 7x3
The north wall has a closet 6.5 ft wide and a small was that is 0.5 feet wide and extends 2 feet into the room.
PLEASE HELP
Answer:
Step-by-step explanation:
1. 300 square feet
10 pls pls pls help meeee!
Answer:
SAS
I THINK CORRECT ME IF IM WRONG
solve for f. f-(-4)=-1
Answer:
f-(-4)=-1
f+4=-1
f+4-4=-1-4
f=-5
Step-by-step explanation:
Cuál es la solución de la ecuación 9 x + 1 = 2x + 15
Answer:
X=2
Step-by-step explanation:
9x+1=2x+15
1. restar 1 de ambos lados ejemplo: 9x+1-1=2x+15-1
2. simplificar Ejemplo: 9x=2x+14
3. restar 2x de ambos lados ejemplo: 9x-2x=2x-2x+14
4. simplificar ejemplo: 7x=14
5.divide ambos lados entre 7 ejemplo: 7x/7= 14/7
6.Simplificar ejemplo: x=2
classify each pair of angles as alternate interior alternate exterior or corresponding
Answer:
1. corresponding
2. alternate interior
3. supplementary
4. interior
Step-by-step explanation:
1. <5 and <1 are corresponding angles because they are above each parallel line and are on the same side of the transversal.
2. <4 and <6 are alternate interior angles because they are in between the parallel lines, and are on opposite sides of the transversal.
3. <2 and <7 are supplementary angles because <2 is above the top parallel line and <7 is beneath the bottom parallel line, and they are on the same side of the transversal.
4. <3 and <6 are (consecutive) interior angles because they are in between the parallel lines, and are on the same side of the transversal.
Hope this helps you out!! Have an awesome day ;)
Solve the inequality. Graph the solution
Answer:
1. y > -3/5 and y < 7/5 Direction to graph 1 below.
2. r > 1 and r < 13/3 Direction to graph 2 below
Step-by-step explanation:
|5y - 2| + 5 > 0
Case 1 Positive || Case 2 Negative ||
5y - 2 + 5 > 0 -(5y - 2) + 5 > 0
5y +3 > 0 -5y + 2 +5 > 0
5y > -3 -5y + 7 > 0
y .> -3/5 -5y > -7
-y > -7/5
y < 7/5 y value negative, change sign
The graph 1: open circle at -3/5; close circle at 7/5; shade between these two numbers.
2. |8-3r|< 5
Case I Case II
8 - 3r < 5 -(8-3r) < 5
-3r < 5 - 8 -8 + 3r < 5
-3r < -3 3r < 5 + 8
-r < -3/3 3r < 13
r >1 r is negative, change r < 13/3
the direction of the sign
Graph 2: Open circle at 1; open circle at 13/3; shade between the two numbers.
Bentley is deciding between two truck rental companies. Company A charges an initial fee of $50 for the rental plus $2 per mile driven. Company B charges an initial fee of $10 for the rental plus $3 per mile driven. Let AA represent the amount Company A would charge if Bentley drives xx miles, and let BB represent the amount Company B would charge if Bentley drives xx miles. Graph each function and determine the interval of miles driven, x,x, for which Company A is cheaper than Company B.
Company A is cheaper than Company B when x ___ _ ___
Answer:
after 41 miles A is cheaper than B
Step-by-step explanation:
not sure if this is what the question is asking for
Use the graph below to find the x- and y - intercepts .
x-intercept : - 6; y - in ; intercept : 9
x-intercept: 1.5 ; y-intercept: 9
x-intercept : 9; y-intercept : - 6
x-intercept: -6; y-intercept: 3
find the GCF using factor trees 10, 54 show your work
In a neutral atom that has an atomic mass of 22 and atomic number of 12, how many neutrons does this element have?
Given :
In a neutral atom that has an atomic mass of 22 and atomic number of 12.To Find :-
The number of neutrons .Solution :-
As we know that,
n(neutrons) + n(protons) = A n(neutrons) + 12 = 2 2n(neutrons) = 22-12n(neutrons) = 10Hence the required answer is 10.
Answer:
10 neutrons
Step-by-step explanation:
no.of neutrons = atomic mass - Atomic number
no.of neutrons= 22-12
=10
Which of the following relations is not a function?
{(0,0),(1,0),(2,0)}
{(1,2),(3,-5),(-1,7)}
{(7,-1),(3,-2),(5,-2)}
{(-1,3)(4,2),(-1,5)}
Answer:
the last one
Step-by-step explanation:
because you have two (-1) and that means it is not a function.
Leala can write a 500- word essay in an hour. If she writes an essay in 10 minutes, approximately how many words do you think the essay contains?
Answer:
about 83
Step-by-step explanation:
