The equation of straight line in the cartesian plane with slope and y-intercept of -1 is y+x+1=0
A straight line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature.
The x-axis, a horizontal line, and the y-axis, a vertical line, are two perpendicular lines that split the number plane, also known as the Cartesian plane, into four quadrants. The origin is the location where these axes converge.The general equation of a line in the cartesian plane is given by the equation y = mx + c , where m is the slope and c is the y-intercept.The slope of a straight line is calculated by taking tan θ where θ is the angle made by the line with positive direction of x- axis.Given the slope = y-intercept= -1
Therefore m = -1 and c = -1 .
Substituting the values of m and c in the general equation of a straight line we get :
y = -x - 1
or, y + x+ 1 = 0
Therefore the equation of the straight line is y + x+ 1 = 0.
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solve:
4(n-7) -2 (n+3)-15n
Answer:
solved
Step-by-step explanation:
4n-28 -2n -6 -15n
-13n-34
-(13n+34)
A bag contains yellow balls, pink balls and green balls only.
The ratio yellow balls : pink balls : green balls = 7:3:5.
There are 42 yellow balls in the bag.
Work out the total number of balls in the bag.
What’s the answer
Answer:
90
Step-by-step explanation:
M1 for ( ) 42/7 [x(7+3+5)] soi by 6
=90
Assuming there are only 42 yellow balls in the bag. The total number of balls in the bag is 90 balls.
Total number of ballsFormulate
42×(3+5+7)÷7
Reduce the fraction
42÷7×(3+5+7)
6×(3+5+7)
Hence:
Total number of balls=6×15
Total number of balls=90 balls
Inconclusion the total number of balls in the bag is 90 balls.
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ANTHONY SURVEYED 320 STUDENTS AND FOUND OUT THAT 120 OF THEM HAVE A PET BASED ON THIS INFORMATION HOW MANY
STUDENTS OUT OF 960 WOULD HAVE A PET?
Can I get help plz ?!? Mark BRAINLIEST?
Answer:
2
Step-by-step explanation:
Perimeter of a rectangle = 2(length + breadth)
=> 2{2x + (x + 4)) = 20
=> (2x + x + 4) = 20/2 = 10
=> 3x + 4 = 10
=> 3x = 10 - 4 = 6
=> x = 6/3 = 2
Here, according to the diagram
Length = 2x = 2(2) = 4
Breadth = x + 4 = 2+4 = 6
But breadth should always be lesser than the length. From this, it can be concluded that the actual breadth is 2x and actual length is x + 4, for perimeter to be 20.
Answer:
X is 2 I am sure
Step-by-step explanation:
2+4=6
6+6=12
2*2=4
4+4=8
12+8= 20
There were 425 guests at a hotel. 170 guests ordered food. what percentage of the guests ordered food?
There were 425 guests at a hotel. 170 guests ordered food. 40 percentage of the guests ordered food.
Define percentage.A percentage is a fraction of a whole in mathematics, which is denoted by the symbol per 100. A single unit out of a hundred, or one hundredth of something, is represented as a single percent, such as 1%. The Latin phrase per centum, which means by the hundred, is where the word percent originates. Percentage does really refer to a hundredth or 1/100 of something.
Given,
Total number of guests = 425
Guest who ordered food = 170
For percentage,
Value/ Total × 100%
170/425 × 100%
0.4 × 100%
40%
There were 425 guests at a hotel. 170 guests ordered food. 40 percentage of the guests ordered food.
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Math help help please
Answer:
5,000,000+4,000+300=5,004,300
Step-by-step explanation:
hope this helps
Calculate the monthly lease payment for a 36-month lease on a car with a $29,000 msrp, a 79% residual value, and a money factor of 0.00365. a. $358.64 b. $128.08 c. $169.17 d. $105.85 please select the best answer from the choices provided a b c d
Answer:
A
Step-by-step explanation:
i did this before and got it correct
Chad drove his car 20 miles and used 2 gallons of gas. What is the unit rate of miles per gallon?
Chad's car achieved an average rate of 10 miles per gallon.
The unit rate of miles per gallon can be calculated by dividing the total miles driven by the amount of gas consumed.
In this case, Chad drove 20 miles and used 2 gallons of gas.
To find the unit rate, we divide the miles by the gallons:
20 miles / 2 gallons = 10 miles per gallon.
Therefore, the unit rate of miles per gallon for Chad's car is 10 miles per gallon.
This means that for every gallon of gas Chad's car consumes, it is able to travel a distance of 10 miles.
It's important to note that the unit rate can vary depending on factors such as driving conditions, speed, and the type of car, but in this scenario, Chad's car achieved an average rate of 10 miles per gallon.
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Rocky Mountain Tire Center sells 10,000 go-cart tires per year. The ordering cost for each order is $35, and the holding cost is 40% of the purchase price of the tires per year. The purchase price is $25 per tire if fewer than 200 tires are ordered,$17 per tire if 200 or more, but fewer than 8,000, tires are ordered, and $13 per tire if 8,000 or more tires are ordered.
a) How many tires should Rocky Mountain order each time it places an order?
b) What is the total cost of this policy?
a) Rocky Mountain should order 200 tires each time it places an order.
b) The total cost of this policy is $17,160.
a) To determine how many tires Rocky Mountain should order each time, we need to consider the different price levels and find the point where it is most cost-effective to order. Let's analyze the three price levels:
If fewer than 200 tires are ordered: The purchase price is $25 per tire.
If 200 or more, but fewer than 8,000 tires are ordered: The purchase price is $17 per tire.
If 8,000 or more tires are ordered: The purchase price is $13 per tire.
Since the ordering cost is $35 per order, it is most cost-effective to order the maximum quantity that falls within the second price level, which is 200 tires.
b) To calculate the total cost of this policy, we need to consider the ordering cost and the holding cost. The holding cost is 40% of the purchase price per tire per year. Let's calculate the total cost:
Total holding cost = (Purchase price per tire * Quantity ordered * Holding cost rate) / 2 = (($17 * 10,000 * 0.4) / 2) + (($13 * 2,000 * 0.4) / 2) = $34,000 + $5,200 = $39,200
Total cost = Total ordering cost + Total holding cost = (Ordering cost per order * Number of orders) + Total holding cost = ($35 * (10,000 / 200)) + $39,200 = $1,750 + $39,200 = $40,950
Therefore, the total cost of this policy is $40,950.
Rocky Mountain Tire Center should order 200 tires each time it places an order, resulting in a total cost of $40,950 for this policy. This ordering quantity and cost analysis allows Rocky Mountain to make efficient and cost-effective decisions in managing their inventory.
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if the two firms do not cooperate, which of the following represents the payoff north springs and south springs receive in the dominant-strategy equilibrium and the nash equilibrium?
If the two firms do not cooperate, the payoff that North Springs and South Springs receive in the dominant-strategy equilibrium and the Nash equilibrium would depend on the specific game or scenario being played. Without more information about the specific game being played and the strategies of the two firms, it is impossible to provide a definitive answer.
However, in general, the dominant-strategy equilibrium refers to the situation where each player chooses their best strategy, regardless of what the other player does. The Nash equilibrium refers to the situation where each player chooses their best strategy given what the other player is doing. In some cases, the dominant-strategy equilibrium and the Nash equilibrium may be the same, but in other cases, they may differ.
So, in order to determine the payoff that North Springs and South Springs receive in these equilibria, more information about the game being played and the strategies of the two firms would be needed.
Based on the information given, we can analyze the payoff for both North Springs and South Springs firms in the dominant-strategy equilibrium and the Nash equilibrium.
Dominant-Strategy Equilibrium:
1. Identify each firm's dominant strategy (the best response regardless of the other firm's action).
2. Combine the dominant strategies for both firms to find the outcome.
Nash Equilibrium:
1. Identify each firm's best response given the other firm's action.
2. Find the outcome where both firms are simultaneously choosing their best responses.
Without specific numerical payoffs, I cannot provide the exact payoff amounts. However, once you have the payoff matrix, you can follow the steps mentioned above to find the payoffs for North Springs and South Springs in the dominant-strategy equilibrium and the Nash equilibrium.
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A pet store has seven puppies, including four poodles, two terriers, and one retriever. Suppose Rebecka and Aaron, in that order, each select one puppy at random without replacement (Rebecka and Aaron cannot select the same puppy). Find the probability that Aaron selects a terrier, given Rebecka selects a poodle.
The probability that Aaron selects a terrier, given Rebecka selects a poodle, is 1/3.
To find the probability that Aaron selects a terrier, given Rebecka selects a poodle, we need to use conditional probability.
First, we need to find the probability that Rebecka selects a poodle. Since there are four poodles out of seven puppies total, the probability that Rebecka selects a poodle is 4/7.
Next, we need to find the probability that Aaron selects a terrier, given that Rebecka has already selected a poodle. Now there are only three poodles and two terriers left in the store, so the probability that Aaron selects a terrier is 2/6 (or simplified, 1/3).
Putting it all together, we can use the formula for conditional probability:
P(Aaron selects a terrier | Rebecka selects a poodle) = P(Aaron selects a terrier and Rebecka selects a poodle) / P(Rebecka selects a poodle)
Since we know that Rebecka selects a poodle, the numerator is just the probability that Aaron selects a terrier given that there are three puppies left in the store. So:
P(Aaron selects a terrier and Rebecka selects a poodle) = (1/3) * (4/7) = 4/21
And we already calculated that P(Rebecka selects a poodle) = 4/7. So:
P(Aaron selects a terrier | Rebecka selects a poodle) = (4/21) / (4/7) = 1/3
Therefore, the probability that Aaron selects a terrier, given Rebecka selects a poodle, is 1/3.
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What did Alexander Fleming discover that helped solve a societal problem?
an antibiotic
bacteria
infections
mold
Answer:
Antibiotic
Step-by-step explanation:
Alexander Fleming discovered penicillin, the most important drug that destroys bacteria within the human body. This discovery has led to the prevention of many diseases and untimely deaths in society. He was a pharmacologist, botanist, and biologist that won a Nobel Prize in Physiology for his major contributions in developing antibiotic substances.
Given the temperature t (in Fahrenheit) and the wind speed v (in miles per hour), the National Weather Service defines the effective temperature to be: w=35.74+0.6215t+(0.4275t−35.75)
⋆
v
∧
0.16 Compose a program that takes two floats t and v from the command-line and prints the wind chill value w
The wind chill is a measure of how cold it feels when the wind is blowing.
The formula provided by the National Weather Service to calculate the wind chill is:
w = 35.74 + 0.6215t + (0.4275t - 35.75) * v^0.16
where:
- w is the wind chill value
- t is the temperature in Fahrenheit
- v is the wind speed in miles per hour
Here's a Python program that takes the temperature (t) and wind speed (v) as input and calculates the wind chill value (w) using the provided formula:
```python
import math
import sys
def calculate_wind_chill(t, v):
w = 35.74 + 0.6215 * t + (0.4275 * t - 35.75) * math.pow(v, 0.16)
return w
# Check if command-line arguments are provided
if len(sys.argv) != 3:
print("Usage: python wind_chill.py <temperature> <wind_speed>")
else:
try:
# Parse the input arguments as floats
temperature = float(sys.argv[1])
wind_speed = float(sys.argv[2])
# Calculate the wind chill value
wind_chill = calculate_wind_chill(temperature, wind_speed)
# Print the wind chill value
print("Wind Chill Value: {:.2f}".format(wind_chill))
except ValueError:
print("Invalid input! Please enter numeric values for temperature and wind speed.")
```
To run the program, open a command prompt or terminal, navigate to the directory where the Python script is saved, and execute the following command:
```
python wind_chill.py <temperature> <wind_speed>
```
Replace `<temperature>` and `<wind_speed>` with the desired values for temperature (in Fahrenheit) and wind speed (in miles per hour).
The program will calculate the wind chill value (w) and print it to the console.
Example usage:
```
python wind_chill.py 50 10
```
Output:
```
Wind Chill Value: 43.41
```
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Worth 60 points for a rapid reply- find the area of each regular polygon. Answers are rounded to the nearest whole number.
The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.
How to calculate for the area of the polygonArea of regular polygon = 1/2 × apothem × perimeter
perimeter = (s)side length of octagon × (n)number of side.
apothem = s/[2tan(180/n)].
11 = s/[2tan(180/12)]
s = 11 × 2tan15
s = 5.8949
perimeter = 5.8949 × 12 = 70.7388
Area of dodecagon = 1/2 × 11 × 70.7388
Area of dodecagon = 389.0634 in²
Area of pentagon = 1/2 × 5.23 × 7.6
Area of pentagon = 19.874 in²
Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.
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please i need your help also going to brainliest you, please help ;)
Answer:
B, or (-6,1)
Step-by-step explanation:
- 3/5 - ( -2/5 ) = ?
Answer:
Step-by-step explanation:
3/5 is .6
2/5 is .4
-.6+.4 is -.2 or
-3/5+2/5
-1/5
what is largest number of flights you would need to get from any destination to any other destination in mathworld?
Largest number of flights you would need to get from any destination to any other destination in Math world can be calculated using the concept of Graph theory.
Graph theory, a network of points (vertices) and lines (edges) is represented as a graph.
In the case of flights, the airports are the vertices, and the flights connecting them are the edges.
find the maximum number of flights needed, we need to find the diameter of the graph.
Diameter of a graph is the longest distance between any two vertices. In other words, it is the maximum number of edges that you need to travel to get from one vertex to another.
diameter of the graph will depend on the number of vertices and the connections between them.
In the case of Math world, we do not have a specific graph, so we cannot calculate the exact number of flights needed. we can estimate that the diameter of the graph will be large, given the number of airports and the complexity of the network.
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a number that is 1/4 as great as 10-2
Answer:
2.
Step-by-step explanation:
In order to determine what is the number that is 1/4 as great as 10-2, the following equation must be performed, where X will be the number sought, which will be equal to 1/4 multiplied by the result of 10-2:
X = 1/4 x (10 - 2)
X = 0.25 x (10 - 2)
X = 0.25 x 8
X = 2
Therefore, the number that is 1/4 as great as 10-2 is 2.
Amanda bought 4 pairs of jeans for $71.40. How much would she need to pay for 8 pairs of jeans?
==========================================================
Explanation:
To get this answer, we double the 71.40 to get 142.80
You can think of it like an equation and we multiply both sides by 2
4 jeans = 71.40 dollars
2*(4 jeans) = 2*(71.40 dollars)
8 jeans = 142.80 dollars
------------
Or you could solve it like this
(4 jeans)/(71.40 dollars) = (8 jeans)/(x dollars)
4/71.40 = 8/x
4x = 71.40*8
4x = 571.2
x = 571.2/4
x = 142.80
------------
Yet another way to solve is to first find the unit rate
4 jeans cost 71.40, so that must mean 1 pair of jeans cost 71.40/4 = 17.85 dollars. This is the unit rate since "unit" means "one". It's the price per pair of jeans.
Multiply that by 8 to find out how much 8 pairs will cost, and we get 17.85*8 = 142.80
I also got stuck on this one.
Answer:
8 questions.
Step-by-step explanation:
100 - 2x = 84
-2x + 100 = 84
-x + 50 = 42
x - 50 = -42
x = 8
Trevor answered 8 questions incorrectly.
Hope this helps!
Answer:
8
8Step-by-step explanation:
100-2x=84
subtract 84 from both sides
16-2x=0
add 2x to both sides
16=2x
divide both by 2 to get x
x=8
hope this helped
What is 4a+7c-2-5a+2c
Answer:
-a+9c-2
Step-by-step explanation:
4a+7c-2-5a+2c
Collect like terms
=4a-5a+7c+2c-2
= -a+9c-2
Please Answer!!!
Answer is 2,4, and 6
Solve for x, Round to the nearest tenth.
Answer:
2= 18.88 4=24.752 . 6=13.74713
Step-by-step explanation:
I need help pleaseeeeee
Answer:
c
Step-by-step explanation: because if you go up 5 then move 4 left you will get to the number coresponding it c
answer THE ANSWER IS C, 0 TO 1750
Step-by-step explanation:
2. Find the slope of the line that passes through (-4,4) and (-4,18)
Answer: 14
Step-by-step explanation:
The equation to find slope is y2-y1/x2-x1 or in simpler terms is rise over run.
We see that the y increase by 14 so the rise is 14 and the x is the same so the run is 0. So the slope is 14.
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(3x-7)+(4x-8) what is the sum of this question pls
Answer:
17x-15 ................... I needed to put dots so I can have 20 characters
Answer:
7x-15
Step-by-step explanation:
PLEASE HELP I WILL GIVE 100 POINTS!
order the numbers from least to greatest pi, -3, sqrt 49 , sqrt 9
The order of the numbers from least to greatest (pi, -3, sqrt 49 , sqrt 9) is -3.00 < sqrt 9 < pi < sqrt 9
How can the number be arranged?The concept that will be used here is ordering. When you put a list of numbers in order, you rank them from least to greatest or greatest to least. An effective tool for comparing and sorting numbers is a number line. From left to right, we read a number line, with the numbers nearer to the left having lower values.
The given numbers can be converted to decimals so as to be able to arange them in the required order which can be done as :
pi= 3.147= 3.15
-3= -3.00
sqrt 49=7.00
sqrt 9 =3.00
Therefore,-3.00 < sqrt 9 < pi < sqrt 9
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A surveyor randomly interviewed 34,572 people who live in Scotland to gather information on whether national healthcare is accomplishing its goals.
Part A: What are the population and sample in this survey? (4 points)
Part B: The survey found that 70% of smokers and 87% of non-smokers visited a family doctor at least once in the past year. Do you think these approximations of the sample are close to approximations of the entire population? Explain. (6 points)
I NEED PART B
Answer:
Part A
Here the entire population is the total number of people who live in Scotland and the sample considered in this survey is the randomly chosen 34,572 people.
Part B
The approximations made out of the sample cannot be considered same as that of the entire population. Because here, only a random sample of 34,572 is taken whereas the total population here is the people who live in the Scotland, which can be quite large sample. The patient details recorded are used for survey. So in the sample surveyed we do not have the data about the rest of the population. The approximations made out of the sample become same as that of the entire population only if the entire population number is near to the randomly collected sample.
Riders must be at least 42 inches tall to ride the coaster. Write an addition inequality to determine how much taller William must be to ride the coaster. Let x be the variable representing how much taller
An addition inequality to determine how much taller William must be to ride the coaster is, Height of William + x ≥ 42.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, Riders must be at least 42 inches tall to ride the coaster, and 'x' be the variable representing how much taller William should be.
Therefore, Height of William + x ≥ 42 is an inequality that may be used to calculate how much taller William has to be in order to ride the coaster.
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What si the mean absolute deviation of these numbers 3,1.6,2.8,2.5,1.7,2.8
The mean absolute deviation of the given numbers is 0.5.
What is the mean?The mean is the sum of all values divided by the total number of values.
The mean of the given number is obtained by dividing the sum of the values by its total number of value.
\(\dfrac{(1.6+1.7+2.5+2.8+2.8+3)}{6} = 2.4\)
Then taking the difference of each number from the mean.
\((1.6-2.4), (1.7-2.4),(2.5-2.4),(2.8-2.4),(2.8-2.4),(3-2.4)\)
\(-0.8,-0.7,0.1,0.4,0.4,0.6\)
Take the sum of the absolute value of the above numbers
\(|-0.8+-0.7+0.1+0.4+0.4+0.6| = 3\)
Divide 3 by 6 to obtain mean absolute deviation.
\(\dfrac{3}{6} = \dfrac{1}{2} =0.5\)
Hence, 0.5 is the mean absolute deviation of the given numbers.
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Slove the system of equations by useing the substitution method. 2x - 3y=9 y=x-4
Answer:
x = 3
y = -1
Step-by-step explanation:
in this system, we are given that y = x - 4
this means that we can take the other equation and replace y with x - 4:
so 2x - 3y=9 turns into
2x -3 (x - 4) = 9
distribute -3 to x and -4:
2x - 3x + 12 = 9
add like terms and subtract 12 from both sides
-x = -3
divide both sides by -1 to get rid of the negative on x:
x = 3
now we have the value of x, so we can replace the x in y = x - 4 with the value we just got
so y = x- 4 turns into
y = (3) - 4
solve and you get
y = -1