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
Ig1000+log342 - 1 -123
Answer:
log(342) - 121
Step-by-step explanation:
-121 + log(342) is a transcendental number
-115.165189262937394847783249972808918485...
each month for 6 months laras bank account balance decreased by $84. Witch quantity describes the total change in laras bank account balance
Answer:
Step-by-step explanation:
0
Solve. Show work
Y = -1/2 (-2) + 2
Answer:
[tex]→y = \frac{ - 1}{2} ( - 2) + 2[/tex]
[tex]→y = 1 + 2[/tex]
[tex]→y = 3[/tex]
Answer:
[tex]y=3[/tex]
Step-by-step explanation:
First distribute:
[tex]y=-\frac{1}{2} (-2)+2[/tex]
[tex]y=1+2[/tex]
Add:
[tex]y=3[/tex]
Hope this helps! :)
32.28 in
expanded form
Step-by-step explanation:
expanded form is adding each place value together with zeros replacing all other spots
32.28
30.00 + 2.00 + 00.20 + 00.08
PLEASE HELP IM BEGGGINGGG
Answer:
the answer is (a) a//b
Step-by-step explanation:
perpendicular means that two lines that do not cross over each other.
Find an equation in point-slope form for the line having the slope m= - 4 and containing the point (4,5).
The equation in point-slope form is
(Use integers or fractions for any numbers in the equation.)
Step-by-step explanation:
The point-slope form of a line is (y - y₁) = m(x - x₁)
Since we know the slope (m) is -4
And the point ( x₁, y₁ ) is (4, 5)
Then we can just plug these into the equation above:
⇒ y - 5 = - 4 (x - 4)
I often use Desmos to check my answer. As seen below, the equation does pass through the point (4, 5).
The car travels with constant acceleration reaching a speed of v m/s after 6 seconds. The car then travels at a constant speed of v m/s for a further 2 seconds. The car travels a total distance of 150 metres. Work out the value of v
v=30m/s velocity is 30 ms-1
I am a 4 digit number.My hundred's digit is 4 less than my thousands digit.My unit's digit is 7 less than my ten's digit.My ten's digit is 3 more than my hundred's digit.My thousand's digit is the largest single digit number.what number am i?
Answer:
9581
Step-by-step explanation:
Find the missing side of each triangle. Leave your answer in simplest radical form.
(Please show ur work)
___________
[tex] \: [/tex]
[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]
Step by step :x² = 12² + 10²
x² = 144 + 100
x² = 244
x = 2[tex]\bold{\sqrt{61}}[/tex]cm✔
Please help! See algebra question..
Answer:
n=-10
Step-by-step explanation:
n+3=-7
n=-7-3
n=-10
this helps thank you
branlist please
Answer:
n = -10
Step-by-step explanation:
solving a one step equation with a missing variable
step 1: subtract 3 from both sides of the equation then simplify
ex: n + 3 - 3 = -7 - 3 (n = -10)
step 2: take your answer of n which is -10 and add plug it in into your original equation n + 3 = -7 and solve to check your answer
ex: n + 3 = -7 (-10 + 3 = -7)
add
-10 + 3 = -7
-7 = -7 (if both sides of the equation are the same numbers like -7 = -7 then your answer is true making n = -10 your answer) i would love to get brain if this is correct and helps <(^w^)>
Hello I really need help 30 points
Answer:
C
Step-by-step explanation:
The vertical line test determines that more than 1 point falls on the vertical line making the graph NOT a function
What is 0.000000000325 in scientific notation?
Answer:
3.25*10^-10(is.3.25E−10)
3.25x10^-9
The coefficient must be between 1 and 10The negative exponent means the number is smallHope it helps!
~Just a joyful teen
[tex]GraceRosalia :)[/tex]
A walking path across a park is represented by the equation y=-2x-7. A
new path will be built perpendicular to this path. The paths will intersect at
the point (-2,-3). Identify the equation that represents the new path.
A. y = 1/2 x - 2
B. y = 2x +1
C. y = -2x-7
D. y = -1/2 x- 4
Answer:
d
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
subtract (3x^3-2x+5)-(-4x^3+3x-6)
Answer:
7x^3-5x+11
Step-by-step explanation:
(3x^3-2x+5)-(-4x^3+3x-6)
Distribute
3x^3-2x+5+4x^3-3x+6
Simplify
7x^3-5x+11
3. Due to leakage, 30% of the water was lost from a water tank. If
only 340 liters of water is left in the tank now, find the total
capacity of the water tank?
HELPP
Answer:
1133.3 liters of water after leakage.
Step-by-step explanation:
x*.30=340
x=340/.30
x=1133.33
The total capacity of the water tank is 1133.33 liters of water after leakage.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We have given Due to leakage, 30% of the water was lost from a water tank. If only 340 liters of water is left in the tank now, then we need to find the total capacity of the water tank.
x*.30 = 340
x = 340/.30
x = 1133.33
Hence, the total capacity of the water tank is 1133.33
Learn more about the unitary method;
https://brainly.com/question/23423168
#SPJ2
Here’s another one.. so sorry if this confused you..
(Also I got this question wrong..)
Answer:
hmmm did you try 14?
Suppose y varies directly as x, and y=14 when x=4. What is the value of y when x=9
Given :-
y varies directly as x, and y=14 when x=4.To Find :-
the value of y when x=9 .Solution :-
According to Question ,
y = kx ( k is constant )When y = 14 and x = 4 ,
14 = k(4)k = 14/4k = 7/2When x = 9 ,
y = 7/2*9 y = 63/2y = 31.5Find the measure of each angle indicated 12,13,14
Answer:
Step-by-step explanation:
12. 15 (3x5x1)
13. 8 (4x2x1)
14. 18 (6x3x1)
Directions:Classify the following polynomials by degree and number of terms.
ANYONE PLEASE HELP ME WITH MY QUESTIONS 2 AND 3 I REALLY NEED THE ANSWER RIGHT NOW BECAUSE I HAVE TO PASS THIS LATER I HOPE Y’ALL CAN HELP ME:(
I’LL MARK BRAINLIEST FOR THOSE WHO CAN ANSWER IT CORRECTLY!
Answer:
Question 2: The degree is 3 and the terms are 2, Binomial
Question 3: The degree is 2 and the terms are 3, Polynomial
Step-by-step explanation:
Look at the image and determine a answer please.
Answer:
Dividing
Step-by-step explanation:
z = -72
Find the slope of each line.
Answer:
Slope: - 5/2
Step-by-step explanation:
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
hello can anyone help with this?
The distance between Heysham and the Isle of Man is 80 km.
A hovercraft travels at 50 km per hour.
How long does the journey take?
Answer:
1 hour 36 minutes
Step-by-step explanation:
Amount of time the journey takes = 80km ÷ 50km/h
= 1.6h
= 1h 36mins
Find m Give explanation please
Answer:
m < FGN = 88°
Step-by-step explanation:
The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles (also known as remote interior angles).
Given the exterior angle, m <FGN = (7x + 18)°, and the two remote interior angles, m < E = 38° and m < F = (6x - 10)°:
The following equality statement can be established according to the exterior angle theorem:
m < E + m < F = m <FGN
38 + 6x - 10 = 7x + 18
Combine like terms:
28 + 6x = 7x + 18
Subtract 6x from both sides:
28 + 6x - 6x = 7x - 6x + 18
28 = x + 18
Subtract 18 from both sides:
28 - 18 = x + 18 - 18
10 = x
Next, substitute the value of x = 10 into the equality statement to determine whether it is the correct value of x, and to find the measures of < FGE and < F.
m < E + m < F = m <FGN
38° + (6x - 10)° = (7x + 18)°
38 + 6(10) - 10 = 7(10) + 18
38 + 60 - 10 = 70 + 18
88 = 88 (True statement).
Therefore, m < FGN = 88°
(re-asking this question) please help asap! ill give brainliest.
write 571/7 as a mixed number
(the numerator is 7, while 571 is the denominator)
Answer:
Using a calculator, if you typed in 517 divided by 7, you'd get 73.8571. You could also express 517/7 as a mixed fraction: 73 6/7.
Step-by-step explanation:
so 73 6/7 is your answer
Answer:
81 4/7
Step-by-step explanation:
Does this help?
Can anyone help asap please
Step-by-step explanation:
a=32(alternate angles are equal)
b=a=32
c=17(all sides of rhombus are equal in length)
d=17(all sides of rhombus are equal in length)
e=90
f=90(diagonals intersect at right angles)
The perimeter of this rectangle si __________ units
The answer for this question is 14
Order each set of numbers from least to greatest.
1: -4,-7, 3, 16,-18
2: -12, 20, 24, -39, -24
3: 9,-57,-64, -32, 0
4: -3,-13, -24,-1,-8
Answer:
1. -18,-7,-4,3,16
2. -39,-24,-12,20,24
3. -64,-57,-32,0,9
4. -24,-14,-8,-3,-1
Step-by-step explanation:
Negative numbers are always least.
RIGHT
ACUTE
OBTUSE
EQUIANGULAR
Step-by-step explanation:
option B is correct answer ( Acute angle triangle)
hope this helps you.
Answer:
Acute triangle
Step-by-step explanation:
Acute triangle have less than 90 degrees
the sum of a number and 11
Hello!
The sum of a number and 11:
Let's say that the number is x. So the expression "the sum of a number and x" looks like this:
x+11
Hope this helps you!
~Just an emotional teen who listens to her favourite songs
[tex]SilentNature[/tex]
Hey there!
Guide:
• The word “sum” means “add” or “addition”
• The word “difference” means “subtract” or “subtraction”
• The word “product” means “multiply” or “multiplication”
• The word “quotient” means “divide” or “division”
NOW THAT WE HAVE ALL OF THAT INFORMATION, WE CAN SOLVE FOR YOUR EQUATION
“The SUM of a number and 11”
Well since the “number” is unknown we can label it as “a” so we can know what we’re ADDing to 11…
So, your equation should be: a + 11
Answer: a + 11
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)