If slope of the line is 1/3, then slope of the perpendicular line should be negative reciprocal, and so it is equal -3.
What is perpendicular line?Lines that cross at a straight angle (90 degrees) are said to be perpendicular. Two geometric objects in basic geometry are perpendicular if they intersect at a right angle. The perpendicular sign,, is a graphic representation of the perpendicularity criterion.
Between two lines, between a line and a plane, or between two planes, it can be defined. slope, An evaluation of a line's inclination with respect to the horizontal using numbers.
The slope of any line, ray, or line segment in analytical geometry is defined as the ratio of the vertical to the horizontal distance between any two points on the line ("slope equals rise over run"). The slope or gradient of a line in mathematics is a number that indicates the line's steepness and direction.
To learn more about perpendicular line refer to:
brainly.com/question/17565270
#SPJ1
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.
To learn more about compounded interest, visit here
https://brainly.com/question/14295570
#SPJ4
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
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
simplify this problem 0.27 / 0.3
Answer:
0.9
Step-by-step explanation:
0.27 / 0.3
Divided by 0.3, and you get the answer of 0.9
If you can, please give me a Brainliest; thank you!
Answer:
the answer is 0.9
Step-by-step explanation:
treat it like a regular math problem, 27 divided by 3. then put the decimal where it should be.
mark me brainliest ! xx
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]
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.
The data set {7, 20, 51, 6, 30, 72, 31, 84, 28, 77, 98} is to be represented by a histogram. Which first interval would most clearly and simply show the distribution of this data?
The first interval which would most clearly and simply show the distribution of this data include the following: B. 0 – 10.
What is a class width?A class width can be defined as the difference between the upper (maximum) and lower (minimum) boundaries of any class in a data set. This ultimately implies that, all classes must all have the same width in a frequency distribution table or histogram.
Mathematically, the class width of a data set can be calculated by using this formula:
Class width = max - min
Where:
max represents the maximum value in a data setmin represents the minimum value in a data set.Based on the data set provided above, the most appropriate class width or interval is given by;
Class width = 0 to 10
In conclusion, 0 to 50 would produce two rectangular bars while 0 to 100 is too big an interval.
Read more on histogram here: brainly.com/question/30194859
#SPJ1
Complete Question:
The data set {7, 20, 51, 6, 30, 72, 31, 84, 28, 77, 98} is to be represented by a histogram. Which first interval would most clearly and simply show the distribution of this data?
0–5
0–10
0–50
0–100
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.
To learn more about values
https://brainly.com/question/29258933
#SPJ1
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.
Learn more on probability here: https://brainly.com/question/25870256
#SPJ1
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).
For more questions on Linear Equation
https://brainly.com/question/2030026
#SPJ4
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.
Learn more about the application of the expected value concept here:https://brainly.com/question/24305645
#SPJ4
An understanding of which of the following mathematical concepts is most helpful when working with probabilities? A: Place value B: Divisibility rules C: Factors and multiples D: Ratios and proportions
Ratios and proportions are the mathematical idea that proves to be most useful when dealing with probabilities. . Calculating probabilities and making judgments based on them require this understanding.
Working with probability requires the use of ratios and proportions. We can compare two different items using ratios and proportions to determine how they relate to one another in terms of size or value. For instance, if we are aware of the proportions of automobile owners and non-owners within a given age group, we can use this information to determine the likelihood that a randomly chosen member of that age group will be a car owner. Calculating the likelihood of separate events can also be done using ratios and proportions. For instance, if we know that the likelihood of one event happening is x and the likelihood of another.
Learn more about probability here
https://brainly.com/question/30034780
#SPJ4
Carla i going on a boat tour. The boat will travel a total ditance of 20 kilometer during the 5-hour tour. If the boat travel at a contant peed during the tour, what ditance in kilometer hould the boat travel in 3 hour?
12
15
18
33
The correct answer is option A. The boat should travel 12 kilometers in 3 hours.
Since the boat will travel a total distance of 20 kilometers during the 5-hour tour, and the speed is constant, we can calculate the average speed of the boat by dividing the total distance by the total time: 20 kilometers / 5 hours = 4 kilometers per hour.
To find the distance the boat should travel in 3 hours, we multiply the average speed by the time: 4 kilometers per hour * 3 hours = 12 kilometers.
In summary, the boat should travel 12 kilometers in 3 hours because the average speed is 4 kilometers per hour and the time is 3 hours.
Learn more about Speed and Distance here:
https://brainly.com/question/4931057
#SPJ4
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:
More can be learned about a system of equations at https://brainly.com/question/30374328
#SPJ1
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:
Which of the following types of statements can explain the steps of a proof?
Answer:
Guess and Conjecture is the answers that apply.
Also known as B. and C.
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:
Find the values of X and Y
In a triangle, The value of x is, 40°
And, The value of y is, 50°
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
The triangle is show in figure.
We know that;
In a triangle, the pair of two opposite sides are equal then there corresponding angles are also equal.
Now, By figure we can formulate;
⇒ x + x + 100 = 180
Solve for x;
⇒ 2x + 100 = 180
⇒ 2x = 180 - 100
⇒ 2x = 80
⇒ x = 40
Thus, The value of x = 40°
And, We get;
⇒ x° + y° + 90° = 180°
⇒ 40 + y + 90 = 180
⇒ y + 130 = 180
⇒ y = 180 - 130
⇒ y = 50°
Thus, The value of y = 50°
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ1
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.
To know more about rectangle:
https://brainly.com/question/15469093
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
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.
Learn more about triangle, by the following link
brainly.com/question/17335144
#SPJ1
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
To learn more about normally distribution link is here
brainly.com/question/29509087
#SPJ4
During study hall, Kenji finished 2 out of 8 problems from his math homework. Bill did 1 out of 3 problems from his math homework. Who did a greater percentage of his math problems?
Kenji or Bill
Bill has a greater percentage of his math problems than kenji.
What is percentage ?
Percentage can be defined as the product of ratio of given value, total value and hundred.
Given ,
During study hall, Kenji finished 2 out of 8 problems from his math homework. Bill did 1 out of 3 problems from his math homework.
SO,
Kenji percentage = 2 / 8 * 100
= 1/4 * 100
= 25
Bill percentage = 1/3 * 100
= 33.33
so, the percentage of bill is more than Kenji.
Therefore, Bill has a greater percentage of his math problems than kenji.
To learn more about Percentage from given link.
https://brainly.com/question/29967647
#SPJ1
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
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.
Read more about Probability:
brainly.com/question/24756209
#SPJ4
find 45% of 170
give simple working out :0
Answer:
76.5
Step-by-step explanation:
0.45*170 = 76.5
Cool.
ab=2x+22,bc=3, and ac=x+17 find x
Answer: -8
Step-by-step explanation:
ALL e 3 3. Team Formation HackerRank is organizing a chess tournament for its employees. There are n employees, having IDs 1, 2,.. n, where the th employee has rating denoted by rating[i]. Two employees can form a team if they have the same rating, and one employee can be in at most one team, There are q queries, each of the form (/, r). For each query, find the number of teams which can be formed considering employees with IDs [1, 1+1,.. r- 1, r]. All queries are independent of each other. Example: [[1,4], [3, 4]] Consider n = 4, rating = [2, 3, 4, 2], q= 2, queries • For the first query, all employees are considered. Employees with IDs 1 and 4 can be teamed as their ratings are the same. There are no other team formations possible. So, the number of teams is 1. • For the second query, employees 3 and 4 are considered, their ratings are [3, 4]. Since they are different, no teams can be formed. So, the number of teams is 0. Hence, the answer is [1, 0]. Function Description: Complete the function count Teams in the editor
The "countTeams" function is an efficient solution for the chess tournament problem for HackerRank employees.
The function "countTeams" is a program designed to solve a chess tournament problem for HackerRank employees. The problem involves finding the number of teams that can be formed from a group of n employees, where each employee has a unique rating.
The program takes in two parameters, n (the number of employees) and an array of ratings.
Additionally, there are q queries, each of which ask for the number of teams that can be formed considering employees with specific IDs.
The function must then calculate and return the number of teams that can be formed in each query.
The function works by first initializing a dictionary to store the frequency of each rating in the given array. Then, for each query, it loops through the ratings of the employees with the given IDs and adds the frequency of the rating to a counter.
Finally, the counter is divided by 2 to give the number of teams that can be formed with employees with the same rating.
To know more about function here.
https://brainly.com/question/28193995
#SPJ4
Can I please get some help, please?
The equation can be used to find the measure of an angle that is supplementary to EOF is B m ∠EOF + m ∠EOD = 180
What are Supplementary angles ?
Supplementary angles are the ones angles that sum as much as a hundred and eighty degrees. for instance, angle one hundred thirty° and attitude 50° are supplementary angles because sum of a hundred thirty° and 50° is identical to one hundred eighty°. similarly, complementary angles add up to 90 levels. the two supplementary angles, if joined together, form a straight line and a directly attitude.
however it ought to be mentioned that the two angles which can be supplementary to each different, do not need to be next to each other. as a result, any angles can be supplementary angles, if their sum is equal to a hundred and eighty°.
Given ,
To find the measure of an angle that is supplementary to EOF .
So, from given figure
we can say that ,
B m∠EOF + m∠EOD = 180
Hence, The equation can be used to find the measure of an angle that is supplementary to EOF is B m ∠EOF + m ∠EOD = 180
To learn more about Supplementary angles from given link.
https://brainly.com/question/18164299
#SPJ1
