Using the Fundamental Counting Theorem, it is found that 2,322,432 codes can be generated.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
Considering that the ode will have one digit followed by four letters, the parameters are given as follows:
[tex]n_1 = 7, n_2 = n_3 = n_4 = n_5 = 24[/tex]
Hence the number of codes that can be generated is:
N = 7 x 24 x 24 x 24 x 24 = 2,322,432.
More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866
#SPJ1
Argyle wants to make T-shirts for students. Customink is willing to offer a deal with the school that each shirt will cost $5 plus a $50 fee for each shirt color. Argyle wants to make a teal and a purple shirt.
Write an equation that shows the total cost (t) for the shirts (s) made on two different colors. Also explain what the variables and constraints are.
Answer:
See explanation
Step-by-step explanation:
c=different number of colors
t=5s+50c ==> c=2
t=5s+50(2)
t=5s+100
5 is the cost of making each shirt and 50 is the cost of making shirts in one color. Hence, 50c is the cost of making shirts in c number of colors and 5s is the cost of making s number of shirts. 50c translates to 50(2) since shirts are made in two colors, so 50(2)=100. 100 dollars is the total cost of making shirts in 2 different colors.
Work out the outer surface area of this open top box. 9m 3m 2m
The outer surface area of this open top box is 102 [tex]m^{2}[/tex].
What is surface area?The outer surface area of this open top box is given by SA=2lw+2lh+2hw
l = 9m
w= 3m
h = 2m
SA = 2×9×3 + 2×3×2 + 2×2×9
SA = 102 [tex]m^{2}[/tex]
The quantity of space enclosing the exterior of a three-dimensional shape is its surface area.
By summing the areas of the base, top, and lateral surfaces (sides) of the object, one may determine the total surface area. This is accomplished by measuring in square units and applying various area calculations.
The total area that all of a 3D object's faces cover is the surface area. The surface area of a cube is its surface area, for instance, if we are trying to determine how much paint is needed to paint it. Always expressed in square units.
To learn more about surface area from the given link:
brainly.com/question/2835293
#SPJ9
Quadrilateral M is a scaled copy of quadrilateral L.
18
36
Quadrilateral L
What scale factor takes quadrilateral L to quadrilateral M?
18
Quadrilateral M
Answer:
Step-by-step explanation:
3/5
3,725,000 in scientific notation
Answer:
3.725 x 10^6 is the scientific notation
Solve for w.
5w² = -13w+6
Answer:
W = -3
Alternatively 2/5
Answer:
2/5,-3 or 0.4,-3 Bainlist please
Step-by-step explanation:
Brainliest, 40 pts, & 5-stars.
Consider the following polygon. Determine the measure of both angles A and B. Show your work. (Note: image is not drawn to scale)
Considering the sum of the internal angles of the polygon, it is found that the measures of the angles A and B are given as follows;
Angle A: 119º.Angle B: 93º.What is the sum of the internal angles of a polygon?The sum of the internal angles of a polygon with n vertices is given by the following equation:
S = (n - 2) x 180º.
For this problem, the polygon has 6 vertices, hence n = 6 and the sum is given by:
S = (6 - 2) x 180º = 720º.
Considering each internal angle, we can solve for x as follows:
13x + 2 + 16x + 7 + 88 + 155 + 170 + 95 = 720
29x + 517 = 720
29x = 203
x = 203/29
x = 7.
Then the measures are given as follows:
Angle A: 16 x 7 + 7 = 119º.Angle B: 13 x 7 + 2 = 93º.More can be learned about the sum of the internal angles of a polygon at https://brainly.com/question/224658
#SPJ1
A hiking trail is shown as 14 cm on a map.
The scale is 1 : 150000
How far in km is it in real life?
Answer:
21km
Step-by-step explanation:
1km=100000cm
14x150000=2100000cm=21km
The distance in real life in kilometers by the given scale factor will be 21 kilometers.
What is the scale factor?You must specify the extent of the shape's enlargement when describing one.
The scale factor is the ratio of two dimensions such that one figure is large and another is small.
The scale factor is done due to the unpractical measurement of any figure.
As per the given,
Scale factor = 1 : 150000
It means 1 cm will convert to 150000 cm.
In real life = 14 x 150000 = 2100000 cm
2100000 cm = 21000 m = 21 kilometer
Hence "The distance in real life in kilometers by the given scale factor will be 21 kilometers".
To learn more about scale factors,
brainly.com/question/22312172
#SPJ6
write an expression showing allowable number of players on a team
In linear equations, the possible number of players in a game with eight teams is given by 16 ≤ P ≤ 32.
What are instances of linear equations?
Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).Let the number of players be n
Since each team can have between 2 and 4 players
n ≥ 2 or 2 ≤ n, and n ≤ 2
Therefore, the allowable number of players on a team is given by 2 ≤ n ≤ 4
2) There are four players in Han's team and a perfect score is 20
Therefore, the number of points Han's team earns in one round if every player earns a perfect score is given by 4 * 20
3) There are four players in Han's team
Total score if each player in Han's team earns a perfect score is 4 * 20 = 80
Let the total score of Han's team be T
Therefore, the number of points, Han's team earns in one round if no players earn a perfect score is given by T < 80
4) If two team have 4 players, it is given by 2 * 4
If the rest four teams have 3 players each, it is given by 4 * 3
Therefore, the number of players in a game with six teams of different sizes: two teams have 4 players each and the rest have 3 players each is given by (2 * 4) + (4 * 3)
5) Let the possible number of players in a game with be P
Maximum number of players in eight teams = 4 * 8 = 32
Minimum number of players in eight teams = 2 * 8 = 16
P ≤ 32 and P ≥ 16 or 16 ≤P
Therefore, the possible number of players in a game with eight teams is given by 16 ≤ P ≤ 32.
Learn more about linear equations
brainly.com/question/11897796
#SPJ9
The complete question is -
In a video game, players form teams and work together to earn as many points as possible for their team. Each team can have between 2 and 4 players. Each player can score up to 20 points in each round of the game. Han and three of his friends decided to form a team and play a round. Write an expression, an equation, or an inequality for each quantity described here. If you use a variable, specify what it represents
Kisha can play 3 games of pool in 45 minutes. If kisha plays 5 games, predict how much time Kisha plays
Answer: 75 minutes ( 1 hour 15 minutes )
Step-by-step explanation:
3 games = 45 minutes
45 divided by 3 = 15
1 game = 15
15 x 5 = 75
5 games = 75 minutes
50 PTS
Which relation is a function?
Answer:
Options C and DStep-by-step explanation:
Looking at the graphs we can state that:
A) Not a function as it fails the vertical line test. The three points has same x-coordinate of -1.
B) Not a function as it fails the vertical line test. The three points has same x-coordinate of 1.
C) Is a function as each x-value has a unique y-value:
(-3, 2), (- 1, 1), (0, - 3), (4, 1)Passes the vertical line testD) Is a function as each x-value has a unique y-value:
(-3, -2), (-2, - 1), (0, 3), (1, 0), (2, - 3)Passes the vertical line test1. The y-intercept of the graph of an equation will _____have a y-coordinate of 0.
2. If a linear equation contains only one variable, its graph will ______ pass through the origin.
3. True or false: The graph of Ax + By = 0 will always pass through the origin.
Using function concepts, it is found that:
1. The y-intercept of the graph of an equation will sometimes have a y-coordinate of 0.
2. If a linear equation contains only one variable, its graph will sometimes pass through the origin.
3. The statement is true.
What is the y-intercept of a function?The y-intercept of a function is the value of f(x) when x = 0, that is, the value of y for which the function crosses the y-axis.
If the function crosses the y-axis at y = 0, it will have a y-coordinate of 0, hence:
1. The y-intercept of the graph of an equation will sometimes have a y-coordinate of 0.
One example of linear equation with one variable is: y = 0.
Which passes through the origin, but y = 2 does not, hence:
2. If a linear equation contains only one variable, its graph will sometimes pass through the origin.
In item 3, the intercept is of By = 0 -> y = 0, hence when x = 0, y = 0, meaning that the statement is true, as the function will always pass through the origin.
More can be learned about function concepts at https://brainly.com/question/24808124
#SPJ1
I NEED IT RIGHT NOW!!! Maritsa is making a necklace of x wooden beads at 0.60 each and 11 glass beads at $1.55 each. The total cost of the necklace is $21.85. Write an equation to esent this situation.
0.60x + (1.55 x 11) = 21.85
I'm not sure if this is what you need but its the best response i got :)
evaluate 4(3-1)2
A. 128
B. 16
C.64
D.32
Answer:
B.16
Step-by-step explanation:
Answer:
B:16
Step-by-step explanation:
Always start in the brackets so
3-1=2 and since the numbers are right by the brackets you multiply
2x4=8 8x2=16
000
Cedric lives in an apartment and pays the following expenses each month: electric bill,
$33.90; TV streaming service, $24.99; and rent, $538.95. Estimate his total expenses for
the month by first rounding each value to the nearest tens place.
O $550
O $590
O $598
O $600
The total expenses for the month by first rounding each value to the nearest tens place is $598.
How to calculate the expenses?It should be noted that Cedric lives in an apartment and pays the following expenses each month:
electric bill $33.90;
TV streaming service, $24.99; and
Rent, $538.9
Rounding them will be:
electric bill $33.90 = $33.9
TV streaming service, $24.99 = $25.0
Rent, $538.9 = $538.9
Therefore, the total expenses for the month by first rounding each value to the nearest tens place will be:
= $33.9 + $25.0 + $538.9
= $597.8
= $598
Therefore, the total expenses for the month by first rounding each value to the nearest tens place is $598.
Learn more about expense on:
brainly.com/question/14697297
#SPJ1
A sample of 50 high school and college students were surveyed to choose a favorite free-time activity: playing sports, dancing, or watching movies/TV. 40% of the sample is high school students. From the sample, it is found that 22% were high school students who chose playing sports, and 6% were high school students who chose dancing. 10% were college students who chose sports and 18% were college students who chose watching movies/TV. 38% of the students surveyed chose dancing.
Which of the following is a correct two-way relative frequency table for the data?
High School and College Student Leisure Time Activity Preferences
Sports Dancing Movies/TV Row Totals
High school students 0.22 0.06 0.12 0.40
College students 0.10 0.32 0.18 0.60
Column totals 0.32 0.38 0.30 1
High School and College Student Leisure Time Activity Preferences
Sports Dancing Movies/TV Row Totals
High school students 0.11 0.03 0.06 0.40
College students 0.05 0.16 0.09 0.60
Column totals 0.16 0.19 0.15 1
High School and College Student Leisure Time Activity Preferences
Sports Dancing Movies/TV Row Totals
High school students 11 3 6 20
College students 5 16 9 30
Column totals 16 38 30 50
High School and College Student Leisure Time Activity Preferences
Sports Dancing Movies/TV Row Totals
High school students 22 6 12 40
College students 10 32 18 60
Column totals 32 38 30 100
From the given options, the only one that represents the correct two-way relative frequency table for the data is; Option A
How to identify a two-way relative frequency table?
A two way frequency table is a way to display frequencies or relative frequencies for two categorical variables. One category is represented by rows and a second category is represented by columns.
Now, we are given the following;
Total Number of students surveyed = 50 students
Percentage that are high school students; 40% = 0.4
Percentage of high school students who chose playing sports; 22% = 0.22
Percentage of high school students who chose dancing; 6% = 0.06
Thus, Percentage of high school students who chose watching movies/TV = 0.4 - (0.22 + 0.06) = 0.12
Percentage that are college students; 100% - 40% = 60% = 0.6
Percentage of college students who chose playing sports; 10% = 0.10
Percentage of college students who chose watching movies/TV; 18% = 0.18
Thus, Percentage of college students who chose dancing = 0.6 - (0.1 + 0.28) = 0.32
Looking at the given options, the only one that represents the correct two-way relative frequency table for the data is; Option A
Read more about two-way relative frequency table at; https://brainly.com/question/16148316
#SPJ1
Answer:
Option A
Step-by-step explanation:
Option A
Denise and Stacey went to a carnival. The admission fee was $6 per person.
Each ride at the carnival costs c dollars. The game booths charged g dollars
for each game. Both Denise and Stacey went on 7 rides each. Stacey played 3
games, while Denise played 2 games. Which expression represents the total
amount of money that Denise and Stacey spent at the carnival?
The sum of three consecutive odd integers is -3−3. Find the value of the least of the three.
The value of the least of the three odd numbers is -3
What are consecutive odd numbers?Consecutive odd numbers are odd numbers that have a common difference of 2
How to find the value of the least of the three?The sum of the odd integers is given as
Sum = -3
Let the least of the odd integers be x
So, the other two odd integers are x + 2, x + 4
When these numbers are added, we have
Sum= x + x + 2, x + 4
Evaluate the sum
Sum= 3x + 6
Substitute Sum= 3x + 6 in Sum = -3
3x + 6 = -3
This gives
3x = -9
Divide by 3
x = -3
Hence, the value of the least of the three odd numbers is -3
Read more about consecutive numbers at
https://brainly.com/question/10853762
#SPJ1
calculate the following 2+2
Answer:4
Step-by-step explanation:
2+2 is 4
HELP on 53. It’s asking you to explain for 53. Need help with 53 three please. I will give a whole lot of extra points and a Brainly for whoever does it.
Step-by-step explanation:
Is true, even if we are not given the truth values of q, r and s.
which of the following numbers would be an integer, but not a natural number -3/5, -8.2, 5 or -22
The number -22 is an integer but not a natural number.
Integers are subsets of real numbers which are all numbers excluding fractions and decimals.
There are 3 types of integers.
positive integers such as 6, 8 , 17 , 854negative integers such as -1 , -4 , -65zero integer or 0Natural numbers are subset of integer numbers which contains all the positive integers such as 7 , 45 , 685 .
Natural numbers are also the subset of real numbers.
The given numbers are:
-3/5 is not an integer as it is a fraction.-8.2 is not an integer ,it is a negative real number.5 is a positive integer also a natural number.-22 is a negative integer but not a natural number.Hence only -22 is an integer but not a natural number.
To learn more about integers or natural numbers visit:
https://brainly.com/question/27954799
#SPJ9
30%= simplify your answer
Answer:
3/10 in fractions, 0.3 in decimals.
Step-by-step explanation:
I dont know how to explain for decimal, but for fractions, just divide by 10, and you will get 3, and since 10 can fit in 100 10 times, you just put 3/10 which means 30/100. for decimals, just move the percent two parts backwards, and it should be 0.3 or .30. hopefully it helped (for fraction).
The worlds smallest help is 3/4 in long. An adult western banded help is 7 1/3 times as long. How long is an adult male western banded geko
The correct answer is 5.5.
Numerator and denominator are the two components of a fraction. The denominator, which is not zero, comes below the line dividing the numerator from the denominator.
The simplest way to answer this question is to multiply the mixed number and fraction together after converting them to decimals.
We are aware that we must divide the numerator by the denominator in order to convert a fraction to a decimal.
1 ÷ 3 Equals 0.3... (This decimal repeats itself.)
0.3... + 7 Equals 7.3... (Continues to repeat)
7/3 equals 7.(3) in decimal form.
3 ÷ 4 = 0.75
As a decimal, 3/4 is 0.75.
Add the two decimal places together:
7. (3) × 0.75 = 5.5
To learn more about mixed fraction refer the link:
https://brainly.com/question/2753661
#SPJ9
What is the solution
{3x-2y=12
Answer:
Step-by-step explanation:
Answer:
x = 4 + 2y/ 3
Step-by-step explanation:
Which option below provides the best description of the relationship between
a quadratic parent function and a square root parent function?
OA. The quadratic function is the inverse of the square root function
with a limited domain.
OB. The quadratic function is one-to-one and the square root function
is not.
OC. The quadratic function and the square root functions are in no way
related other than they are both functions.
OD. The square root function is the inverse of the quadratic function
with a limited domain.
The option that provides the best description of the relationship between a quadratic parent function and a square root parent function is (d) the square root function is the inverse of the quadratic function with a limited domain.
How to determine the best description of the relationship between a quadratic parent function and a square root parent function?A quadratic parent function is represented as
y = x^2
A square root parent function is represented as
y = √x
As a general rule, a quadratic parent function has no limited domain while a square root parent function has a limited domain i.e. no negative numbers
Also, the square root function is the inverse of the quadratic function
Hence, the best description of the relationship between a quadratic parent function and a square root parent function is (d) the square root function is the inverse of the quadratic function with a limited domain.
Read more about inverse function at
https://brainly.com/question/14796161
#SPJ1
Can someone help me please
Answer: U': (0, 9)
V': (0, 3)
W': (-9, 6)
Step-by-step explanation:
In a 90 degree clockwise rotation about the origin for this triangle, the x and y coordinates of the triangle's edges are swapped, but the y-coordinates are negated. This is because the transformation is happening over the x-axis, where the y-values will be changing signs while the x-values will still have the same signs.
U: (-9, 0) ==> (0, -9) ==> U': (0, 9)
V: (-3, 0) ==> (0, -3) ==> V': (0, 3)
W: (-6, -9) ==> (-9, -6) ==> W': (-9, 6)
Review of equations show work
Answer:
m = -2
Step-by-step explanation:
Let's solve your equation step-by-step.
9=−7m+1−6
Step 1: Simplify both sides of the equation.
9=−7m+1−6
9=−7m+1+−6
9=(−7m)+(1+−6)(Combine Like Terms)
9=−7m+−5
9=−7m−5
Step 2: Flip the equation.
−7m−5=9
Step 3: Add 5 to both sides.
−7m−5+5=9+5
−7m=14
Step 4: Divide both sides by -7.
−7m/−7 = 14/−7
m=−2
piercewill08 is officially on my list of "reliable answers"
All work is provided in the attached screenshot! I got you!
Have a great day!
Question 5(Multiple Choice Worth 2 points)
(Writing Two-Step Equations MC)
Write and solve an equation that represents the following math sentence.
Twenty-six equals the sum of 13.5 and the quotient of a number and 2.5.
26 13.5+- m=5
m
2.5
26=13.5+m; m = 31.25
2.5
26 13.5+ 2.5m; m = 5
O26 13.5+2.5m; m = 31.25
The expression of the statement is 26 = 13.5 + m/2.5
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
What are rational expressions?Rational expressions are expressions that are represented by the quotient of two polynomials or radicals.
This means that, a rational expression is represented by a fraction whose numerator and denominator are polynomials or radicals
How to determine the rational expression?The mathematical statement is given as
Twenty-six equals the sum of 13.5 and the quotient of a number and 2.5.
Let the number be m
So, we have
Twenty-six equals the sum of 13.5 and the quotient of m and 2.5.
Quotient means divide
So, we have
Twenty-six equals the sum of 13.5 and m/2.5
Sum means addition
So, we have
Twenty-six equals 13.5 + m/2.5
Equals means =
So, we have
Twenty-six = 13.5 + m/2.5
Rewrite as
26 = 13.5 + m/2.5
Hence, the expression of the statement is 26 = 13.5 + m/2.5
Read more about expression at
https://brainly.com/question/723406
#SPJ1
Answer:
A. 26 = 13.5 + m/2.5; m = 5 is the correct equation and solution.
To explain, the word "quotient" indicates that we need to divide a number by 2.5. Let the unknown number be represented by the variable "m". Then, the quotient of a number and 2.5 can be written as m/2.5. The math sentence can be written as: 26 = 13.5 + m/2.5
To solve for "m", we can isolate it by subtracting 13.5 from both sides and then multiplying both sides by 2.5:
26 - 13.5 = m/2.5
12.5 = m/2.5
m = 12.5 * 2.5
m = 5
Therefore, the equation that represents the given math sentence is 26 = 13.5 + m/2.5, and the solution is m = 5. Option a is correct.
definition for piecewise function
Answer:
A piecewise function is a function that is defined by different formulas or functions for each given interval.A non-void subset of A x B is a function from A to B if each element of A appears in some ordered pair in f and no two pairs ...Let f: A → B.
Mathematics, 26.09.2021 14:00, aliyahgregory
Point Q is the midpoint of segment PR. QR = 18 and PR = 5x+6.
Applying the definition of the midpoint of a segment, we have:
x = 6
PR = 36 units
What is the Midpoint of a Line Segment?If point Q is the midpoint of segment PR, it therefore means that point Q bisects (divides) line segment PR into two equal parts, namely: PQ = QR.
Also, PQ + QR = PR
Given the following:
QR = 18
PR = 5x + 6
Thus, we can create the following equation:
2(QR) = PR
Substitute
2(18) = 5x + 6
36 = 5x + 6
36 - 6= 5x + 6 - 6
30 = 5x
30/5 = 5x/5
6 = x
x = 6
PR = 5x + 6
Plug in the value of x
PR = 5(6) + 6
PR = 36 units
Learn more about the midpoint of a segment on:
https://brainly.com/question/19149725
#SPJ1