4. How many combinations are possible on a 4 number computer cable lock. Each space can
be any number 0 - 9. The only exception is that all four numbers cannot be the same.
How many combinations are possible?
Answers
The possible number of combinations are 9,720.
What is combination?In mathematics, a combination is a way of selecting a subset of items from a larger set, where the order of selection does not matter. The number of combinations of size k that can be chosen from a set of n items is denoted by the symbol C(n,k) or sometimes by ⁿCk, and is given by the formula:
C(n,k) = n! / (k! ×(n - k)!)
Define number?A number is a mathematical concept used to represent quantity or value. It can be a whole number, such as 1, 2, 3, or a decimal, such as 1.5 or 3.14. Numbers are used in various mathematical operations, such as addition, subtraction, multiplication, and division. They are also used in everyday life for counting and measuring.
There are a total of 9,720 possible combinations for a 4-number computer cable lock where each space can be any number 0-9, except for the restriction that all four numbers cannot be the same. To arrive at this number, we can first calculate the total number of possible combinations without the restriction, which is 10⁴ = 10,000. Then we subtract the number of combinations where all four numbers are the same, which is simply 10 (i.e. 0000, 1111, 2222, etc.), to get 9,990. Finally, we subtract the number of combinations where all four numbers are the same and also subtract the number of combinations where three out of four numbers are the same (which is simply 10×4 = 40 since there are 10 possible values for the repeated number and 4 possible positions for it), which gives us a final count of 9,720.
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Related Questions
Los organizadores de la Feria de Alimentos colocan un contenedor de agua que mide 2,76 metros de largo, por 23,5 decímetros de ancho y por 196 centímetros de alto. ¿Cuál es el volumen del contenedor? Expresa la respuesta en metros cúbicos con aproximación a centésimos.
Answers
The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.
To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.
The length of the container is 2.76 meters.
The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).
The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).
Now we can calculate the volume of the container:
Volume = Length × Width × Height
Volume = 2.76 meters × 2.35 meters × 1.96 meters
Volume ≈ 12.9516 cubic meters (rounded to four decimal places)
Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.
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Which function is graphed below? Select all that apply.
Answers
Mr. Jones's prescription calls for 1.04 tablets per day. Based on this information, how many tablets should Mr. Jones take per day? a) 1.25 O b) 1.5 c) 1 O d) 2
Answers
Answer:
b
Step-by-step explanation:
1?25*213+4=b shsshehwhssj
Juan pays $500 per month in rent, a semiannual car insurance premium of $800, and an annual health club membership fee of $900.
Answers
Answer:
400 is the answer
Step-by-step explanation:
900-800=100
500-100=400
What percent is represented by the shaded area?
Answers
Hope I helped :)
Answer:
total no. of lines 10
the shaded lines are 7
percentage of shaded area is 7/10×100=70%
Write each expression as a single power of 10.
Answers
Answer:
Refer to below!
Step-by-step explanation (a):
\(\rightarrow \dfrac{10^{3} \times 10^{4} }{10^{5} } \\\\\\ \rightarrow \dfrac{10^{3 + 4} }{10^{5} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \[[\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ] \\\\\\ \rightarrow \dfrac{10^{7} }{10^{5} } \\\\\\\)
\(\rightarrow 10^{7 - 5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}] \\\\\rightarrow 10^{2}\)
Step-by-step explanation (b):
\(\rightarrow \huge{\text{(}{10^{4} \times \dfrac{10^{12} }{10^{7} }\huge{\text{)}\)
\(\rightarrow \huge{\text{(}{10^{4} \times {10^{12 - 7} }\huge{\text{)} \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}]\)
\(\rightarrow \huge{\text{(}{10^{4} \times {10^{5} }\huge{\text{)}\)
\(\rightarrow \huge{\text{(}{10^{4 + 5} }\huge{\text{)}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ]\)
\(\rightarrow{10^{9} }\)
Step-by-step explanation (c):
\(\rightarrow \huge{\text{(}\dfrac{10^{5} }{10^{3} } }\huge{\text{)}\)
\(\rightarrow \huge{\text{(}10^{5 - 3} }\huge{\text{)} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}]\)
\(\rightarrow 10^{2} }\)
Step-by-step explanation (d):
\(\rightarrow \dfrac{10^{4} \times 10^{5} \times 10^{6} }{10^{3} \times 10^{7} }\)
\(\rightarrow \dfrac{10^{4 + 5 + 6} }{10^{3 + 7} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ]\)
\(\rightarrow \dfrac{10^{15} }{10^{10} }\)
\(\rightarrow 10^{15 - 10} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}]\)
\(\rightarrow 10^{5} }\)
Step-by-step explanation (e):
\(\rightarrow \dfrac{(10^{5})^{2} }{(10^{2})^{3} }\)
\(\rightarrow \dfrac{10^{5 \times 2} }{10^{2 \times 3} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Using exponent rule: }(a^{2} )^{5} = a^{2 \times 5} = a^{10} ]\)
\(\rightarrow \dfrac{10^{10} }{10^{6} }\)
\(\rightarrow {10^{10 - 6} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}]\)
\(\rightarrow {10^{4}\)
Which of the sets of ordered pairs represents a function? (4 points)
A = {(−4, 5), (1, −1), (2, −2), (2, 3)}
B = {(2, 2), (3, −2), (9, 3), (9, −3)}
a
Only A
b
Only B
c
Both A and B
d
Neither A nor B
Answers
Answer: D, neither A nor B
Step-by-step explanation: In a function, the x (the input) cannot repeat in the given set of ordered pairs. In Set A, 2 repeats in the third and fourth ordered pairs. In Set B, 9 repeats in the third and fourth ordered pairs as well.
Answer: B
Step-by-step explanation:
Functions and Relations
A relation is just a set of ordered pairs (x,y) . In formal mathematical language, a function is a relation for which: if (x1,y) and (x2,y) are both in the relation, then x1=x2 . This just says that in a function, you can't have two ordered pairs with the same x -value but different y -values.
Real numbers a and b satisfy
a + ab = 250
a - ab = -240
Enter all possible values of a, separated by commas.
Answers
The only possible value of "a" that satisfies the given equations is a = 5.
The possible values of "a" that satisfy the given equations, let's solve the system of equations:
a + ab = 250 ---(1)
a - ab = -240 ---(2)
We can solve this system by using the method of substitution. Rearranging equation (2), we get:
a = ab - 240 ---(3)
Substituting equation (3) into equation (1), we have:
(ab - 240) + ab = 250
2ab - 240 = 250
2ab = 250 + 240
2ab = 490
ab = 490/2
ab = 245
Now we have the value of "ab."
We can substitute this back into equation (3) to solve for "a":
a = (245) - 240
a = 5
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Amadi is three times as old as Chima. The sum of their ages is 24
Answers
Answer:
Amadi: 20 years old
Chima : 4 years old
Convert 1.5 seconds to milliseconds
Answers
Answer:
15000 milliseconds
Step-by-step explanation:
1 seconds is equal to 1000milliseconds.
A student wants to write an expression for, all of the elements which are in set A AND all of the elements in set B.” Which expression below matches the statement? (A ‘U B’). (A U B). (A n B) P(A n B)
Answers
A student wants to write an expression for, all the elements which are in set A and all the elements in set B. Then, the expression matches the statement is (A n B), which is read as A intersection B. Thus, option B is correct.
What is intersection?The intersection of two sets A and B, denoted by display by (A ∩ B). It is the set containing all elements of A that also belong to B, or, alternatively, all elements of B that also belong to A. The symbol is sued for the intersection is ∩. This is defined as that the element of A and B are is a single set.
Therefore, option B is correct.
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Which figure shows a reflection of pre-image ABC over the y-axis?
Answers
The figure that shows a reflection of pre-image ABC over the y-axis is Figure D, which has negative x-coordinates for each point.
A figure's reflection over the y-axis is obtained by flipping the figure across the y-axis. This means that each point's x-coordinates are negated while its y-coordinates remain unchanged.
We can see from the figures in the image that the pre-image ABC has positive x-coordinates, and a reflection over the y-axis results in a new image with negative x-coordinates.
As a result, Figure D, which has negative x-coordinates for each point, depicts a reflection of pre-image ABC over the y-axis.
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Use the unit circle to find the value of sin (-90)
Answers
The value of Sin(90) is equal to 1.
What are trigonometric functions?In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.
Given here: Sin(90) and to find the value using the unit circle
Rotate ‘r’ anticlockwise to form a 90° angle with the positive x-axis.
The sin of 90 degrees equals the y-coordinate(1) of the point of intersection (0, 1) of unit circle and r.
The value of sin 90 degrees can be calculated by constructing an angle of 90° with the x-axis, and then finding the coordinates of the corresponding point (0, 1) on the unit circle. The value of sin 90° is equal to the y-coordinate (1). ∴ sin 90° = 1.
Hence, Sin (90) is equal to 1.
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Angle α lies in quadrant II, and tanα=−12/5. Angle β lies in quadrant IV, and cosβ=35.
What is the exact value of cos(α+β)?
Enter your answer in the box.
Answers
Answer:
Step-by-step explanation:
[-5/13] 3/5 +12+13 [-4/5 = - 63/65
How wide is a rectangular strip of land with length 1 1/2 kilometers and area 3/4 square kilometers?
Answers
Answer: The wideness of the rectangular strip of land is 1/2 km
The length of the rectangular strip = 1 1/2 kilometers
The area of the rectangular strip = 3/4 square kilometers
Area of a rectangle = Length x width
Let the width of the rectangular strip = x
\(\begin{gathered} \text{Length = 1}\frac{1}{2}\text{ km} \\ \text{Convert the length to an improper fraction} \\ \frac{(1\text{ x 2) + 1}}{2} \\ \frac{2\text{ + 1}}{2} \\ \frac{3}{2}\text{ km} \\ \text{ Since, area = 3/4 } \\ \frac{3}{4}\text{ = }\frac{3}{2}\cdot\text{ x} \\ \frac{3}{4}\text{ =}\frac{3x}{2} \\ \text{Cross multiply} \\ 3\text{ x 2 = 3x }\cdot\text{ 4} \\ 6\text{ = 12x} \\ \text{Divide both sides by 12} \\ \frac{12x}{12}\text{ = }\frac{6}{2} \\ x\text{ = }\frac{1}{2}\text{ kilometer} \end{gathered}\)The widenes of the rectangular strip is 1/2 km
Trey wants to earn more than $44 trimming trees. He charges $6 per hour and pays $4 in equipment fees. What are the possible numbers of hours Trey could trim trees?Use t for the number of hours.Write your answer as an inequality solved for t.
Answers
Data:
t: number of hours
y: earnings
earn more than $44
\(y>44\)He charges $6 per hour (6t) and pays $4 (-4) in equipment fees:
\(y=6t-4\)Then, you get the next inequality:\(6t-4>44\)To find the number of hours Trey could trim trees solve the inequality for t:
- Add 4 in both sides of the inequality:
\(\begin{gathered} 6t-4+4>44+4 \\ \\ 6t>48 \end{gathered}\)- Divide both sides of the inequality into 6:
\(\begin{gathered} \frac{6}{6}t>\frac{48}{6} \\ \\ t>8 \end{gathered}\)Then, Trey needs to trim tress for more than 8 hours to earn more than $44Write an expression using the distributed property to dind the product of 7x63
Answers
The product of the expression 7 x 63 is 441.
We have,
To find the product of 7 x 63 using the distributive property, we can break down 63 as the sum of its factors, such as 60 and 3:
7 x 63 = 7 x (60 + 3)
Now, we can apply the distributive property by multiplying 7 to each term inside the parentheses:
7 x (60 + 3) = 7 x 60 + 7 x 3
Simplifying further:
7 x 60 + 7 x 3 = 420 + 21
Therefore,
The product of 7 x 63 is 441.
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Find x when () = 2. Please explain step by step
Answers
Answer: Ans is 990. First such a number is 5×0 +2=2, then 5×1 +2=7, like that in all 20 numbers are there from 2 to 97 in A.P.with common difference of 5.
Step-by-step explanation:
For the following expression, a) Determine the number of terms. b) Write down each term. c) Write down the coefficient for each term. Make sure you simplify the expression before answering. 2x-13
Answers
Answer:
a) 2
b) 2x, -13
c) 2, -13
Step-by-step explanation:
Term means mathematical equations that are separated by arithmetic symbols like (+,-,x,/).
For example, there is 2 terms in the following example because there is two values separated by arithmetic symbols: 3x+5.
More examples of terms: 7, 5x, x, \(7x^2\), \(x^2\)
Coefficient means the value that you multiply the variable by. The coefficient in the variable: 5x is 5 because you are multiplying x by 5.
A stone is dropped from the upper observation deck of a tower, 950 m above the ground. (Assume g = 9.8 m/s2.)
(a) Find the distance (in meters) of the stone above ground level at time t.
(b) How long does it take the stone to reach the ground? (Round your answer to two decimal places.)
(c) With what velocity does it strike the ground? (Round your answer to one decimal place.)
(d) If the stone is thrown downward with a speed of 8 m/s, how long does it take to reach the ground? (Round your answer to two decimal places.)
Answers
a) The distance of the stone above ground level at time t :
d(t)= -4.9t² + 950
b) It takes 13.92 seconds the stone to reach the ground
c) With 136.42 m/s velocity the stone strikes the ground.
d) If the stone is thrown downward with a speed of 8 m/s, it will take 13.13 seconds to reach the ground
Here, a stone is dropped from the upper observation deck of a tower, 950 m above the ground.
(a) the distance of the stone above ground level at time t would be,
d(t) = 0.5 (-9.8) t² + v(0) t + d(0)
= (-4.9)t² + 0t + 950
= -4.9t² + 950
(b) Now we find the time the stone takes to reach the ground.
i.e., the value of 't' when d = 0
Substituting d(t) = 0 in the above equation.
-4.9t² + 950 = 0
t² = (-950) / (-4.9)
t² = 193.88
t = 13.92 seconds
(c) We need to find the velocity the stone takes to strike the ground
i.e., the velocity when t = 13.92 seconds
v(t) = v(0) + gt
v(13.92) = 0 + (9.8)(13.92)
v = 136.42 m/s
(d) here, v(0) = -8 m/s
Velocity is negative because stone is being thrown downward.
d(t) = 0
(-4.9)t² + v(0) t + d(0) = 0
(-4.9)t² -8t + 950 = 0
Using the quadratic formula we solve above equation for,
t = -14.76, 13.13
We can disregard the negative solution
So, we get t = 13.13 seconds.
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Kristin wants to wrap a ribbon around the perimeter of a rectangle. The length is five less than twice the width. The perimeter is 56 inches. What are the dimensions?
Answers
The length of the rectangle is 51 inches while the width of the rectangle is 28 inches.
Since Kristin wants to wrap a ribbon around the perimeter of a rectangle, the perimeter of a rectangle P = 2(L + W) where L = length of rectangle and W = width of rectangle.
Given that the perimeter of the rectangle, P = 56 inches and the length of the rectangle, L is five less than twice the width of the rectangle, W we have that
L = 2W - 5
Substituting L into P, we have
P = 2(2W - 5 + W)
P = 2(W - 5)
Since P = 56, we have
2(W - 5) = 56
~Dividing both sides by 2, we have
W - 5 = 56/2
W - 5 = 23
Adding 5 to both sides, we have
W = 23 + 5
W = 28 inches
Substituting W into L, we have
L = 2W - 5
L = 2(28) - 5
L = 56 - 5
L = 51 inches
So, the length of the rectangle is 51 inches while the width of the rectangle is 28 inches.
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What is the value of u?
Answers
Answer:
66-26 = 40
Step-by-step explanation:
u = 40 degrees
56, 52, 65, 72, 57, 65, 98
Send data to calculator
(a) What is the median of this data set? If your answer is not
an integer, round your answer to one decimal place.
(b) What is the mean of this data set? If your answer is not an
integer, round your answer to one decimal place.
(c) How many modes does the data set have, and what are
their values? Indicate the number of modes by clicking in the
appropriate circle, and then indicate the value(s) of the
mode(s), if applicable.
0
Ozero modes
O one mode:
two modes:
Answers
a. 65 is the median
b. 61.16 or 66.42
c. 2 modes and its 6
explanation step by step
A.) you need to arrange it first lowest to highest : 52, 56, 57, 65, 65, 72, 98
B. add all the numbers and divided by how many are them. as you see there is 2 answers in it, the lowest one is I didn't add the outliner and the high one is outliner is added 98
C. look at the same number.(twice, triple etc)
Question 101 point)
Find the slope of a line that passes through the following points
(4,9) ,(2,4)
A. 5/2
B. -5/2
C. 2/5
D. -2/5
Answers
Answer:
A. 5/2
Step-by-step explanation:
Finding slope is Y1 - Y2 over X1 - X2
so, 9 - 4 over 4 - 2
= 5/2
Answer:
A. 5/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: \(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Point (4, 9)
Point (2, 4)
Step 2: Identify
(4, 9) → x₁ = 4, y₁ = 9
(2, 4) → x₂ = 2, y₂ = 4
Step 3: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: \(\displaystyle m=\frac{4-9}{2-4}\)[Slope] Subtract: \(\displaystyle m=\frac{-5}{-2}\)[Slope] Simplify: \(\displaystyle m=\frac{5}{2}\)Q8 Change 12 g to kilograms,
Answers
Answer:
0,012
Step-by-step explanation:
12 grams is 0.012 kilograms.
Hope this helps; have a great day!
what is the area of the regular polygon shown below?
Answers
Because the apothem will always be half of the length of one side. The length of one side is 28 in.
The formula for the area is:
Area = (number of sides × length of one side × apothem)/2
Working out:
A = (7 times 28 times 14) divided by 2 = 1372 in. squared
Hope this helps!
Please give Brainliest!
help meeeeeeeeeeeeeeeeeeeeeee
thank you
Answers
The function f(-5) has a value of -6
How to evaluate the function?The given parameters are the graphs in the figure
From the question, we have the function definition to be f(-5)
Next, we analyze the functions of the graphs
The function on the first graph is a function of f(x), while the second graph is a function of g(x)
This means that we use the first graph to calculate the value of the function f(-5)
The function f(-5) means the value of x is -5
On the first graph, we have
f(x) = -6 when x = -5
So, we have
f(-5) = -6
Hence, the value of the function is -6
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what is the property of 3x(5x7)=(3x5)7
Answers
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
A car journey is in two stages Stage1 the car travels 110 miles in 2 hours Stage 2 the car travels 44 miles at the same average speed as stage 1 Work out the time for stage 2 Give you answer in minutes.
Answers
9514 1404 393
Answer:
48 minutes
Step-by-step explanation:
The average speed for stage 1 is ...
speed = distance/time = (110 mi)/(2 h) = 55 mi/h
Then the time for stage 2 is ...
time = distance/speed = (44 mi)/(55 mi/h) = (4/5 h)(60 min/h) = 48 min
The time for stage 2 is 48 minutes.
Answer:
Solution :-We know that
SpeeD = Distance/Time
Speed = 110/2
Speed = 55 mi/hr
For, 2
Speed = 44/55
Speed = 4/5
Speed = 48 min
\( \\ \)
Find the horizontal and vertical asymptotes of the curve. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
y =
7x2 + x − 1/
x2 + x − 20
A) horizontal y=
B) vertical x=
Answers
A) horizontal asymptote: y = 7 B) vertical asymptote: x = -4, 5 is the required answers for horizontal and vertical asymptotes of the curve.
The horizontal asymptote of a curve is a horizontal line that the curve approaches as x approaches infinity or negative infinity. The vertical asymptote of a curve is a vertical line that the curve approaches but never crosses as x approaches a certain value. In this case, the horizontal asymptote is found by letting x approach infinity in the fraction and observing what the value of y approaches. In the limit as x approaches infinity, the x^2 term dominates and thus y approaches 7, which is the horizontal asymptote. To find the vertical asymptote, we find the values of x where the denominator equals 0 and the numerator is not equal to 0. In this case, the denominator x^2 + x - 20 = 0 has roots of -4 and 5. Thus, the vertical asymptotes are x = -4 and x = 5. To find the vertical asymptotes, we look for the values of x where the denominator of the function equals 0 and the numerator does not equal 0. In this case, the denominator x^2 + x - 20 = 0 has roots of -4 and 5, which means that x = -4 and x = 5 are the vertical asymptotes of the function. These values of x represent the values at which the function is undefined, and as x approaches these values from either side, the value of the function approaches positive or negative infinity.
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