In the triangular lattice below, there are an infinite number of equilateral triangles that have at least two of the points as vertices.
This is because the triangular lattice is made up of an infinite number of equilateral triangles of various sizes and orientations. Any two points in the lattice form the vertices of an equilateral triangle and any other point in the lattice can be used as the third vertex.
An equilateral triangle is a triangle in which all three sides are equal in length. It is also equiangular, meaning that all three angles are equal in measure. In the plane, all three vertices of an equilateral triangle can be connected to form a single closed figure. Equilateral triangles can also be used to form periodic patterns, such as the triangular lattice shown in the question.
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how does deviance clarify moral boundaries and affirm norms?
Deviance is a concept that refers to behaviors or actions that are outside of the norms and expectations of a particular society or group. In many ways, deviance clarifies moral boundaries and affirms norms because it helps define what is considered acceptable and unacceptable behavior within a particular community.
When individuals engage in deviant behavior, it draws attention to the fact that there are established norms and expectations for behavior within a society. For example, if someone steals from a store, it is considered deviant behavior because it goes against the norm of honesty and fair dealing. This deviant behavior highlights the fact that there is a norm of honesty and fair dealing in society, and helps to reinforce it. Similarly, when deviant behavior is punished, it sends a message to others in the community that the behavior is unacceptable and reinforces the norm against it. For example, if a person is punished for stealing from a store, it sends a message to others that this behavior is not tolerated and reinforces the norm of honesty and fair dealing.
In conclusion, deviance clarifies moral boundaries and affirms norms because it highlights and reinforces established expectations for behavior within a society. When individuals engage in deviant behavior, it brings attention to these norms and reinforces their importance.
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Write an expression that when simplified is equivalent to 3y^2 + 2y + 1/2
Answer:
Step-by-step explanation:
4x -3(x-2y) + (1/2)(6x -8y)
Let's distribute...
4x-3x+6y+3x-4y
Let's combine like figures...
(4x-3x+3x)+(6y-4y)
4x+2y
Solve the system of linear equations by graphing y=-1/2x+6 and y=1/2x+6
a stick of length 1 into two pieces, with the breakpoint being chosen uniformly at random over the stick. a right triangle t is drawn with the two smaller sticks as its legs. find the expected value of the square of the length of the hypotenuse of t.
The expected value of the square of the length of the hypotenuse of the triangle is 2/3.
The expected value of the square of the length of the hypotenuse of the triangle can be found using the following steps:
Let X be the random variable representing the length of the longer stick and Y be the random variable representing the length of the shorter stick.The breakpoint is chosen uniformly at random over the stick, so X and Y have a uniform distribution over [0, 1].The square of the length of the hypotenuse of the triangle can be found using the Pythagorean theorem: Z = X^2 + Y^2.The expected value of Z can be found by taking the expected value of each term in the equation and adding them: E(Z) = E(X^2) + E(Y^2).The expected value of X^2 and Y^2 can be found by integrating the square of X and Y over their respective ranges:E(X^2) = ∫_0^1 x^2 * (1/1) dx = 1/3
E(Y^2) = ∫_0^1 y^2 * (1/1) dy = 1/3
6. Therefore, E(Z) = 1/3 + 1/3 = 2/3.
So, the expected value of the square of the length of the hypotenuse of the triangle is 2/3.
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Shayna and Kali are selling wrapping paper for a school fundraiser. Customers can buy rolls of
plain wrapping paper and rolls of shiny wrapping paper. Shayna sold 5 rolls of plain wrapping
paper and 3 rolls of shiny wrapping paper for a total of $57. Kali sold 11 rolls of plain wrapping
paper and 3 rolls of shiny wrapping paper for a total of $93. Find the cost each of one roll of
plain wrapping paper and one roll of shiny wrapping paper.
(PLS HELP ASAP!!!!)
Answer:
The cost of plain wrapping paper is $6 and cost of shiny wrapping paper is $9
Step-by-step explanation:
cost of plain wrapping paper = x
cost of shiny wrapping paper = y
so the equation will be:-
5x + 3y = 57
11x + 3y = 93
by subtracting 3y from the equation we get :-
6x = 36
x = 6
5(6) + 3y = 57
30 +3y = 57
3y = 27
y = 9
hence, the cost of plain wrapping paper is $6 and cost of shiny wrapping paper is $9
determine whether the equation below has a one solutions, no solutions , or an infinite number of solutions. afterwards determine two values of x value that support your conclusion
Two values of x that support this conclusion are x = 2 and x = -4. When x is equal to 2, the equation is satisfied: 2(2) + 3 = 2 - 1. When x is equal to -4, the equation is also satisfied: 2(-4) + 3 = -4 - 1.
What is the values ?Values are beliefs, principles, or qualities that are considered worthwhile or desirable. They are the fundamental beliefs that guide an individual’s behavior and choices. Values are important because they help people to make decisions and determine what is meaningful and important in life. Examples of values include honesty, fairness, respect, responsibility, compassion, and loyalty. Values can also include religious beliefs or spiritual values, as well as cultural values.
2x + 3 = x - 1
This equation has one solution. The solution is x = 2. This can be determined by solving for x by subtracting two from both sides, resulting in a value of 3x = 4. Dividing both sides by 3, we get x = 2.
Two values of x that support this conclusion are x = 2 and x = -4. When x is equal to 2, the equation is satisfied: 2(2) + 3 = 2 - 1. When x is equal to -4, the equation is also satisfied: 2(-4) + 3 = -4 - 1.
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b. find the probability that a randomly chosen new student who joins the club after receiving the membership material is a woman.
Probability that a randomly chosen new student who joins the club after receiving the membership material is a woman is 0.659
A campus student club distributed material about membership to new students attending an orientation meeting. Of those receiving this material 40% were men and 60% were women. Subsequently, it was found that 7% of the men and 9% of the women who received this material joined the club.
a. Find the probability that a randomly chosen new
student who receives the membership material will join the club.
b. Find the probability that a randomly chosen new student who joins the club after receiving the membership material is a woman.
P men = 0.4
P women = 0.6
P join/men = 0.07
P join /women = 0.09
P join =P men* P join/men + P women*P join /women
P join = 0.4 * 0.07 + 0.6 *0.09
= 0.028 + 0.054
= 0.082
P(women/join)= 0.082/0.6(0.09)
= 41/27 ≈0.659
Probability that a randomly chosen new student who joins the club after receiving the membership material is a woman is 0.659 .
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The life of cell batteries is normally distributed with a mean of 68.3 hours and a standard deviation of 18.4 hours. 93% of the batteries will last more than how many hours? (2 decimal places )
The life of cell batteries is normally distributed with a mean of 68.3 hours and a standard deviation of 18.4 hours. 93% of the batteries will last more than 41.15 hours.
A mean = 68.3 hours
A standard deviation(SD) = 18.4 hours
We have to determine 93% of the batteries will last more than how many hours.
P(x > x(1)) = 93%
P(x > x(1)) = 0.93
1 - P(x ≤ x(1)) = 0.93
Now solving
P(x ≤ x(1)) = 0.07
P(z ≤ (x(1) - mean)/SD) = 0.07
P(z ≤ (x(1) - 68.3)/18.4) = 0.07
P(z ≤ (x(1) - 68.3)/18.4) = 0.07
Using the z table
(x(1) - 68.3)/18.4 = -1.4758
Multiply by 18.4 on both side, we get
x(1) - 68.3 = -27.15472
Add 68.3 on both side, we get
x(1) = 41.14528
x(1) = 41.15 hours
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there are 36 disks in a bag. some of them are black and the rest are white. two are simultaneously selected at random. given that the probability of selecting two disks of the same colour is equal to the probability of selecting two disks of different colour, how many black disks are there in the bag?
There are 18 black disks in the bag given that the probability of selecting two disks of the same color is equal to the probability of selecting two disks of different colors.
Let's assume there are x black disks in the bag. So there are 36-x white disks.
The probability of selecting two black disks is (x/36)*((x-1)/35).
The probability of selecting two white disks is ((36-x)/36)*((35-x)/35).
And the probability of selecting one black and one white disk is (x/36)*((36-x)/35).
Since the probability of selecting two disks of the same color is equal to the probability of selecting two disks of different colors, we can set these probabilities equal to each other:
(x/36)((x-1)/35) = (36-x)/36)((35-x)/35)
Expanding both sides and simplifying, we get,
[tex]x^2[/tex] - x = 36x - [tex]x^2[/tex]
2[tex]x^2[/tex] = 36x
[tex]x^2[/tex] = 18x
x = 0 or x = 18
Since there must be at least some black disks in the bag, we can conclude that there are 18 black disks in the bag.
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I NEED HELP ON QUESTION 7 ASAP!!!
Answer:
Formula to find the Area of a triangle is A=1/2* bh
A=area
B=base
H=height
Part C.)
1/2b*12=108
multiply entire equation by the reciprocal of 1/2 (2/1) to clear the fraction, then ...divide 216 by 24, and get b=9
Your base is 9
a rectangular box has a total surface area of 94 square inches. the sum of the lengths of all its edges is 48 inches. what is the sum of the lengths in inches of all of its interior diagonals? $\textbf{(a)}\ 8\sqrt{3}\qquad\textbf{(b)}\ 10\sqrt{2}\qquad\textbf{(c)}\ 16\sqrt{3}\qquad\textbf{(d)}\ 20\sqrt{2}\qquad\textbf{(e)}\ 40\sqrt{2}$
The correct answer is option (e). The sum of the lengths in inches of all of its interior diagonals is 40√2.
The surface area of a rectangular box can be expressed as 2lw + 2lh + 2wh, where l, w, and h are the length, width, and height of the box, respectively. Since the total surface area is 94 square inches and the sum of the lengths of all its edges is 48 inches, we can write an equation using these variables. Solving for l, w, and h, we find that the length, width, and height are 6, 7, and 4 inches, respectively.
The sum of the lengths of all interior diagonals can then be found using the Pythagorean theorem. The result is,
√(l^2 + w^2 + h^2) = √(6^2 + 7^2 + 4^2)
= √(36 + 49 + 16)
= √101
= 10√2.
The sum of the lengths of all interior diagonals is then equal to 2(10√2) = 40√2.
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someone please help i only got an 1 hour left
Answer:
[tex]\frac{1}{12^{16} }[/tex]
Step-by-step explanation:
[tex](12^{-2}) ^{8}[/tex]
When a power is raise to a power, you multiply the exponents
[tex]12^{-16}[/tex]
To make the power positive, you put the power under 1.
[tex]\frac{1}{12^{16} }[/tex]
2. The histogram shows student's scores from last month's math test how many students scored in the 80-89 range?
13. how mony total students took the math test
14. Eight new students took a make-up test today and received the following scores. 72,75,76,84,88,97,98,99
Using your pencil, add these scores to the histogram to the right by extending the height of the bars as necessary
. help me please thx v: ✌
Answer:
12. 12
13. 31
14. Not doable obviously because it needs to be done on paper.
Step-by-step explanation:
PLEASE HELP A small company has one manager and 5 other employees. The manager's salary is 25% of the company's
salary budget. If the company's salary budget is x dollars, which expressions represent the amount of money, in
dollars, from the salary budget that is left for the 5 other employees? Select all correct expressions.
6x -0.25x
5x - 25x
-0.25x
Ox-0.75x
0.25x
0.75x
Using algebraic expression, expressions that represent the amount of money, in dollars, from the salary budget that is left for the 5 other employees are 6x -0.25x and 0.75x.
Which expressions represent the amount of money?The manager’s salary is 25% of the total budget, while the other five employees share the remaining 75%.
The total salary budget is represented by the variable x, so the manager’s salary is 0.25x.
The remaining five employees share 0.75x.
The expressions that represent the amount of money, in dollars, from the salary budget that is left for the five other employees are 0.75x and 6x-0.25x.
0.75x represents the total amount of money available to the five employees, while 6x-0.25x shows the amount of money available to the five employees after the manager’s salary has been subtracted.
The expressions -0.25x, 5x-25x, and 0.25x are not valid representations of the amount of money available to the five other employees, since they do not account for the manager’s salary.
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Jayne polled 50 students about their preferred after-school sport, and then recorded the data in the table. Which sport is more popular?
A. Baseball is more popular because 27 students preferred baseball, compared to 2 students who preferred soccer.
B. Baseball is more popular because 11 students preferred baseball, compared to 10 students who preferred soccer.
C. Soccer is more popular because 29 students preferred baseball, compared to 21 students who preferred soccer.
D.Baseball is more popular because 38 students preferred baseball, compared to 12 students who preferred soccer.
Answer:
D. Baseball is more popular because 38 students preferred baseball, compared to 12 students who preferred soccer.
38 is the highest number of students who preferred basketball.
Step-by-step explanation:
I don't understand, at the end of the desmos slide, it said that it was wrong when I said s=0 and a=20, even though that is a possible answer. So what is the actual answer?
The solution to the system of equations is given as follows:
(s,-3s+20).
The meaning is that the number of adult tickets purchased was 20 subtracted by the triple of the number of student tickets purchased.
How to solve the system of equations?The system of equations for this problem is defined as follows:
150s + 50a = 1000.a = -3s + 20.Replacing the second equation into the first, the value of s is given as follows:
150s + 50(-3s + 20) = 1000
150s - 150s - 1000 = 1000
0s = 0.
This means that the system has an infinite number of solutions in the following format:
(s,-3s+20).
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The adjacent angles of a parallelogram ( 4x+22) degrees and ( x-42 ) degrees. Find the value of x
Answer:
x = 40
Step-by-step explanation:
the adjacent angles of a parallelogram sum to 180° , then
4x + 22 + x - 42 = 180
5x - 20 = 180 ( add 20 to both sides )
5x = 200 ( divide both sides by 5 )
x = 40
Answer:
Step-by-step explanation: WE KNOW THAT,
THE SUM OF THE ADJACENT ANGLE OF THE PARALLELOGRAM IS 180.
SO 4X+22+X-42=180
5X-20=180
5X=200
X=40
ab=2x+22,bc=3, and ac=x+17 find x
Answer: -8
Step-by-step explanation:
8. How much money hould a couple place in a time depoit in a bank that pay 10% compounded annually o that they will have ₱500,000. 00 after 5 year?
To find out how much money a couple should place in a time deposit to have ₱500,000 after 5 years, we can use the formula for compound interest: A = P * (1 + r/n)^(nt)
Where A is the amount after t years, P is the initial deposit (the amount being invested), r is the interest rate as a decimal, n is the number of times the interest is compounded per year, and t is the number of years the money is invested.
Given the information, we have:
A = 500,000
r = 0.10 (10% interest rate)
n = 1 (interest is compounded annually)
t = 5
So, substituting into the formula:
500,000 = P * (1 + 0.10/1)^(1 * 5)
Solving for P:
P = 500,000 / (1 + 0.10/1)^(1 * 5)
P = 500,000 / 1.610526
P = ₱309,724.07
Therefore, the couple should place ₱309,724.07 in a time deposit to have ₱500,000 after 5 years at 10% interest compounded interest annually.
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What is the form of the Difference of Cube identity?
Answer:
B
Step-by-step explanation:
You can search this up
Hi can someone check my work for me! im unsure of my answers, please tell me if get any wrong!
For the probability of coin flip and die roll:
The amount of possible outcomes are 12Probability of getting heads and rolling a 5 is 1/12Probability of getting tails and rolling a 1 is 1/12Probability of getting heads and and rolling any die number is 1/2Probability of getting tails and rolling an odd number on a die is 1/4probability of getting heads and rolling a number greater than 3 is 1/4.What is probability?A probability is a number that represents the likelihood or chance that a specific event will occur.
To find the probability of getting heads and rolling a 5 = 1/2 x 1/6 = 1/12.
Probability of getting tails and rolling a 1 on the die = 1/2 x 1/6 = 1/12.
The chance of getting head and rolling any number = 1/2 x 1 = 1/2.
Probability of tails and rolling an odd number = 1/2 x 3/6 = 3/12 = 1/4.
and the probability of getting heads and rolling a number greater than 3 = 1/2 x 3/6 = 3/12 = 1/4.
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what is the distance difference between the two dashes in yards?
For these traditional cooking measurements, there are no specific definitions. The majority of sources, however, claim that a dash is roughly 1/8 of a teaspoon, a pinch is 1/16 of a teaspoon, and a smidgen is 1/32 of a teaspoon.
Now, According to the question:
How many teaspoons is two dashes?For these traditional cooking measurements, there are no specific definitions. The majority of sources, however, claim that a dash is roughly 1/8 of a teaspoon, a pinch is 1/16 of a teaspoon, and a smidgen is 1/32 of a teaspoon.
One tablespoon or less of a soft food, like whipped cream or sour cream, is typically referred to as a "dollop."
Furthermore, a pinch is, as its name suggests, the quantity of an ingredient (such as salt or a dry herb) that you can hold between your thumb and fingers. Additionally, there is a "healthier-sized" pinch that involves your thumb, forefinger, and middle finger, known as a "three-finger pinch." It probably equals between a quarter and an eighth of a teaspoon in terms of volume.
The difference is one of distance...
100 yards = 300 feet
100 meters = 328.0839895 feet
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Find the Area of the figure
below, composed of a rectangle
with a semicircle removed
from it. Round to the nearest
tenths place.
10
14
Answer: 150 square units
Step-by-step explanation: Hope this helps :)
Answer: 111.5
Step-by-step explanation:
I need helppppp please.
The number of solutions of each system of equations is given, respectively, as follows:
One solution.No solution.Infinity solutions.No solution.How to obtain the number of solutions of each system of equations?
There are three possible number of solutions for each system of equations, and the cases are presented as follows:
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Identify all the solutions to the following-inequality.
3(x - 3) ≤ 27
Answer: [tex]x \leq 12[/tex]
Step-by-step explanation:
[tex]3(x-3) \leq 27\\\\x-3 \leq 9\\\\x \leq 12[/tex]
Step-by-step explanation:
To solve the inequality 3(x - 3) ≤ 27, we can use the following steps:
Distribute the 3 on the left side of the inequality: 3x - 9 ≤ 27
Add 9 to both sides of the inequality: 3x ≤ 36
Divide both sides of the inequality by 3: x ≤ 12
Therefore, the solution to the inequality is x ≤ 12.
This solution is valid for any value of x less than or equal to 12, including 12.
Examples of values that satisfy this inequality are:
x = -6, -4, -2, 0, 2, 4, 6, 8, 10, 11, 12
x = -1, -0.5, 0.1, 4.5, 8.9, 12
Note that the solution set is a set of real numbers, that includes all x that are less or equal than 12.
find area for these !!! pls help
the Area of the triangle is 212.3 m².
What is are of triangle?
The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.
The perimeter will be P = sum of all three side.
Side a = 21 meters, b=31 meters, c = 18 meters
s = p/2 = 70/2 = 35
A = √(s)(s-a)(s-b)(s-c)
A = √35*4*14*23
A = 212.3 m²
Hence the Area of the triangle is 212.3 m².
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an experiment is to flip a fair coin three times. what is the probability of getting exactly two heads? round to 3 decimal places. answer:
The probability of getting exactly 2 heads if you flip a coin 3 times is 3/8.
Now, According to the question:
Probability : The number of ways of achieving success. the total number of possible outcomes. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .
"Information available from the question"
An experiment is to flip a fair coin three times.
We have to find the probability of getting exactly two heads.
Sample space: {HHH, HTH,THH,TTH, HHT, HTT,THT,TTT}
Total number of possible outcomes=8
Probability of getting exactly two heads is:
P(A) = P(getting two heads)
P(A) = 3/8
Therefore, the probability of getting exactly 2 heads if you flip a coin 3 times is 3/8.
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Mrs Tan spent 5 days to make a total of 35 lanterns. Each day, she makes 2 more lanterns than the day before. How many lanterns did she make on the 4th day?
Answer:
9
Step-by-step explanation:
we could use a way of guess
like first our number bases could be
1,2,3
for 1 , 1+3+5+7+9=25
2= 2+4+6+8+10+12=30
3= 3+5+7+9+11=35
so we find answer it is 9
i hope that could help you
A rectangle has a length of 12 meters and a width of 400centimeters. What is the perimeter, in cm, of the rectangle?
The perimeter of the rectangle is 3200cm.
The perimeter of a rectangle is the sum of the lengths of all four sides of the rectangle. It is calculated by adding the length and the width of the rectangle and then multiplying the sum by 2.
In this case, the rectangle has a length of 12 meters and a width of 400 centimeters. To find the perimeter in centimeters, we first need to convert the length in meters to centimeters.
As 1 meter is equal to 100 centimeters, we multiply 12 meters by 100 to get 1200 centimeters.
Now we add the width of 400 centimeters to this value and get 1200+400 = 1600.
And finally, we multiply this value by 2 to get the perimeter of the rectangle,
1600*2 = 3200.
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A company ell it product for $55 per unit. Write an expreion for the amount of money received from ale of x unit of product
The amount of money received from the sale of x units of the product can be represented by the following equation:
Revenue = 55 * x, where 55 is the price per unit and x is the number of units sold.
A linear equation is an algebraic equation with simply a constant and a first-order (linear) component of the form y=mx+b, where m is the slope and b is the y-intercept. The above is sometimes referred to as a "linear equation with two variables," where y and x are the variables.
Ax+By=C is the typical form for linear equations in two variables. 2x+3y=5, for example, is a simple linear equation. It is rather simple to get both intercepts when an equation is stated in this way (x and y).
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