Answer:
7:a
Step-by-step explanation:
-15:-2a+9-a-3
-15:-3a+9-3
-15:-3a+6
-15-6:-3a
-21:-3a
Minus sign with be cancelled by each other
21:3a
21/3:a
7:a
Find each Value
m∠A =
Answer:
75 degrees
Step-by-step explanation:
since this figure has four sides we can figure out the measure of the interior angles by using the formula, (n-2)*180, where 'n' = number of sides
(4-2)180 = 2(180) = 360
also, we know that since AB is parallel to DC that the figure is a rhombus where adjacent angles are supplementary
therefore, we can find 'x' by writing this equation:
12x - 3 + 9x - 6 = 180
simplify:
21x - 9 = 180
21x = 189
x = 9
also, we know that opposite angles in a rhombus are equal so if we substitute '9' for 'x' in angle C we will know the measure of angle A:
m<A = 9(9)-6
m<A = 81-6
m<A = 75 degrees
NEED HELP SUR TOMORROW!!!!!!!
The image below shows a circle with radius and central angle measurements Find the area of the shaded sector, and the length of the arc defined by the sector.
Answer:
Below
Step-by-step explanation:
The shaded fraction is 160 / 360 ths of the entire area
160/360 * pi (5)^2 = shaded area =~ 35 in^2
Similarly , the arc is 160/360 ths of the entire circumference
160/360 * pi ( 2 * 5) = 13.96 = ~ 14 inches
how to convert millimolar to molar
One of the molar concentration units is the millimolar. The symbol or abbreviation mM stands for millimolar. 1 millimolar equals 1 mol/meter³ in terms of measurement units. In terms of molar, 1 millimolar is equivalent to 0 point 001 molar.
The term "molar concentration" (also known as "molarity," "amount concentration," or "substance concentration") refers to the amount of a substance per unit volume of solution and is used to describe the concentration of a chemical species, specifically a solute, in a solution.
The number of moles per liter, denoted by the unit symbol mol/L or mol/dm3 in SI units, is the most widely used unit for molarity in chemistry. One mol/L of a solution is referred to as one molar, or 1 M.
Because most solutions' volumes only slightly vary with temperature due to thermal expansion, the use of molar concentration in thermodynamics is frequently inconvenient. Typically, temperature correction factors are introduced to solve this issue, or a concentration measure that is not temperature dependent, like molality, is used.
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Given l∥m∥n, find the value of x?
Answer:
x = 69
Step-by-step explanation:
[tex]x + 111 = 180[/tex]
[tex]x = 180 - 111[/tex]
[tex]x = 69[/tex]
Answer:
69°
Step-by-step explanation:
What is an angle?An angle is a measure of a turn, measured in degrees or °. Angles are made up of two rays, making the sides of the angle.
What types of angles are there?There are right angles (exactly 90 degrees), acute angles (less than 90 degrees), obtuse angles (more than 90 degrees), and reflex angles (more than 180 degrees).
We can see that if there is a straight line, the angles must add up to 180°. To solve for the value of x, we can use this equation:
180 - 111 = 69Therefore, the measure of angle x = 69°
Boats from all along the Atlantic coast were moored at a busy marina one summer day. Of the 16 boats at the marina, 8 were from Maine.
What is the probability that a randomly selected boat will be from Maine?
I NEED HELP ASAP
The solution is, the probability of picking a boat from Virginia is 3/8
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
The formula of probability is often given as
P = no. of favorable event/ no. of total outcome
In this case, our variables are
no. of favorable event=6
no. of total outcome =16
Let's proceed to input our values and solve
P = 6/16
= 3/8
From the calculation above the probability of picking a boat from Virginia is 3/8
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Which of the following equations represents a linear function?
A. y = x/12
B. y = 1/2x^2
C. y= 3x
D. y = 2 (2 + 3)
Answer: Option A,C and D represents a linear equation
Step-by-step explanation:
In linear function the variable has the power raised to one.
In equation ,y=x/12 ,y=3x and y=2(2+3) all the variables has the power of 1
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What is 500 Meters in Miles?
To convert meters into miles, divied the meter value by 1609.34. Multiply when we want to convert miles into meter.
500 meters is equal to the 0.31 miles.
The symbol for meter is m.
There are 1,609.344 meters in a mile.
The word "metre" is how this unit is spelled internationally.
Both the US Customary Units and the Imperial System recognise the mile as a unit of length or distance.
The symbol for mile is mi.
There are 0.00062137 miles in a meter.
500 meters is approximately 0.31 miles.
To convert meters to miles,
You can use the following conversion:
1 mile = 1609.34 meters
Therefore,
To convert 500 meters to miles,
You can divide 500 by 1609.34:
500 meters (1609.3) meters/mile ≈ 0.31 miles
500 metres is equivalent to 0.31 miles.
Thus, rounding to two decimal places,
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The Pickle Family had 10 1/2 pounds of candy to fill 4 pinatas. Each pinata would have 6 kids sharing the candy that fell from it. How much candy would each child get?
Each child would get 7/8 of a pound of candy from each pinata.
To find out how much candy each child would get, we need to first determine the total amount of candy in all four pinatas, and then divide that amount by the total number of kids who will be sharing the candy.
To start, we can convert the 10 1/2 pounds of candy into a mixed fraction:
10 1/2 = 10 + 1/2 = 20/2 + 1/2 = 21/2
So the Pickle Family had 21/2 pounds of candy to fill the pinata.
To find out how much candy each piñata would have, we can divide the total amount of candy by the number of piñatas:
21/2 ÷ 4 = 21/2 × 1/4 = 21/8
So each pinata would have 21/8 pounds of candy.
Now we need to determine how much candy each child would get. Since each pinata will be shared among 6 kids, we can divide the amount of candy in each pinata by 6:
21/8 ÷ 6 = 21/8 × 1/6
= 7/8
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Why Did The Coffee Taste Like Mud?
Answer:
Step-by-step explanation:
If the coffee tastes like mud, it may be due to several reasons:
Overbrewing: If the coffee is brewed for too long or with too much coffee grounds, it can result in a bitter taste, and it may have a muddy texture.
Dirty equipment: Dirty coffee makers or dirty coffee cups can cause the coffee to taste like mud. Residual coffee oils, grounds, or bacteria can create an unpleasant taste.
Old coffee beans: Coffee beans that have been stored for too long or have expired can lose their flavor, making the coffee taste stale and muddy.
Poor quality water: The quality of water used to brew coffee can significantly affect its taste. Hard water, which has high mineral content, can give the coffee a muddy taste.
Poor quality coffee beans: Using low-quality coffee beans can result in a muddy taste. Coffee beans that are not roasted correctly or not freshly roasted can also create an unpleasant taste.
Ground coffee storage: If the ground coffee is not stored correctly, it can absorb moisture and other flavors in the air, resulting in a muddy taste.
To avoid a muddy taste in coffee, it is essential to use high-quality beans, grind the beans freshly, use clean equipment, and follow the proper brewing instructions. By doing so, one can enjoy a flavorful and satisfying cup of coffee.
HELP ASAP, WILL GIVE BRIANLIEST, 100 POINTS,
A donut shop wanted to determine the best price to sell its donuts. The manager of the shop gathered data from several donut shops in the city for the total cost, y, for different amounts of donuts, x. He created the following scatter plot with a line of fit.
scatter plot titled donut pricing with the x axis labeled number of donuts and the y axis labeled total cost in dollars, with points at 1 comma 1, 2 comma 2 and a half, 5 comma 5, 6 comma 5 and a half, 3 comma 2, 7 comma 7, 4 comma 4, 8 comma 5 and a half, 12 comma 10, 10 comma 9, 9 comma 9, and 8 comma 7, with a line passing through the coordinates 3 comma 3 and 8 comma 7
Find the slope of the line of fit and explain its meaning for the real-world situation.
The slope is 3 over 5, which means when 0 donuts are sold, it is predicted that the shop will earn $0.60.
The slope is 4 over 5, which means when 0 donuts are sold, it is predicted that the shop will earn $0.80.
The slope is 3 over 5, which means for each additional donut sold, the shop is predicted to earn $0.60.
The slope is 4 over 5, which means for each additional donut sold, the shop is predicted to earn $0.80.
Answer:
The slope of the line of fit and its meaning for the real-world situation include the following: C. The slope is 3/5, which means for each additional donut sold, the shop is predicted to earn $0.60.
What is the point-slope form?
Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.
x and y are the points.
Based on the information provided, we can logically deduce the following data points on the line:
Points on x-axis = (7, 12).
Points on y-axis = (5, 8).
At data point (7, 12), a linear equation of this line in slope-intercept can be calculated by using the point-slope form form as follows:
y - 12 = (8 - 5)/(12 - 7)(x - 7)
y - 12 = 3/5(x - 7)
y = 3x/5 - 4.2 + 12
y = 3x/5 + 7.80
Mark as BRIANLIEST pls
How to convert acres to square feet
Answer:
1 acre=43560 square feet
Step-by-step explanation:
1 acre is 43560 square feet
How do you know when you have understood a math concept???????
Answer: When you can do it with no outside help
Step-by-step explanation:
If you can do something without needing help or looking at your notes that probably means you understand the concept
Answer:
Step-by-step explanation:
If you understand how to solve and can solve an example math problem without help or mistakes, you probably know the concept.
Find the volume of the solid bounded by the planes x = 0, y = 0, z = 0, and x + y + z = 9.
The volume of this solid is 18 cubic units.
This solid is a triangular prism with a triangular base and a height of 9 units. To calculate the volume of the solid, we can use the formula V=Bh, where B is the area of the base and h is the height. The base of the prism is a right triangle with sides of length 9, 9, and 6. We can use the Pythagorean Theorem to calculate the length of the hypotenuse of the triangle, which is equal to 12. We can then use the formula for the area of a triangle, A=1/2bh, to calculate the area of the base, which is equal to 27. We can then multiply this by the height, 9, to get the volume of the solid, which is 18 cubic units.
This solid is a triangular prism with a triangular base and a height of 9 units. To calculate the volume of the solid, we can use the formula V=Bh, where B is the area of the base and h is the height. The base of the prism is a right triangle with sides of length 9, 9, and 6.
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What is the conversion of 80 oz to gallons?
After conversion of 80 ounces into gallon we get 0.625 gallons.
A fluid ounce is the U.S. popular units system.
Ounces and fluid ounces are two unlike units.
1 fluid ounce is equal to the 1.04 oz weight.
US fluid ounce contain 29.6 milliliters and British fluid ounce contain 28.4 milliliters.
Ounce expressed by notation oz.
To convert ounces (oz) to gallons,
We know that
One gallon = 128 fluid ounces.
We want to convert 80 ounces to gallons,
we can use the following formula:
80 oz ÷ 128 oz/gal = 0.625 gallons
Hence,
We get 80 ounces is equal to 0.625 gallons.
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you are going to have your hair trimmed. what metric measurement will you use when telling your hairdresser how much to take off the ends?
The metric measurement will you use when telling your hairdresser how much to take off the ends is centimetres (cm).
The decimalized meter-based system of measurement that had been adopted in France in the 1790s was replaced by the metric system. The International System of Units (SI), which was invented/created in the middle of the 20th century with the help of an international standards body, was the historical culmination of the development of these systems.
The term "metrication" refers to the adoption of the metric system. The historical development of metric systems has led to the acceptance of a number of principles. A single base unit of measurement expresses all of nature's essential dimensions. More and more often now, natural principles rather than replicas of physical artifacts are used to define base units.
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Philippa is making jam. She needs to buy mini jam jars which come in packs of 12, lids which come in packs of 16 and labels which come in packs of 36. She doesn't want to have any items left over. Find the smallest number of packs of each item she can buy
Philippa can buy 12 packs of mini jam jars, 9 packs of lids, and 4 packs of labels without having any items left over.
To find the smallest number of packs of each item Philippa can buy without having any items left over, we need to find the least common multiple (LCM) of 12, 16, and 36. The LCM is the smallest number that is a multiple of all three numbers.
We can find the LCM by listing the multiples of each number and finding the smallest number that appears in all three lists:
Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144...
Multiples of 16: 16, 32, 48, 64, 80, 96, 112, 128, 144...
Multiples of 36: 36, 72, 108, 144...
The smallest number that appears in all three lists is 144. Therefore, the LCM of 12, 16, and 36 is 144.
To find the smallest number of packs of each item Philippa can buy, we need to divide the LCM by the number of items in each pack:
Packs of mini jam jars: 144 ÷ 12 = 12
Packs of lids: 144 ÷ 16 = 9
Packs of labels: 144 ÷ 36 = 4
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Austin bought some belts online for $26. He used a coupon code to get a 40% discount. The website also applied a 10% processing fee to the price after the discount. How much was the discount, in dollars and cents?
Answer: the discount in dollars and cents was $10.40.
Step-by-step explanation: Austin bought some belts online for $26. With a 40% discount, the price of the belts is reduced by:
Discount = 40% x $26 = $10.40
So the new price after the discount is:
$26 - $10.40 = $15.60
Then a 10% processing fee is applied to the discounted price of $15.60, so the final price paid by Austin is:
Final price = $15.60 + 10% x $15.60 = $17.16
Therefore, the discount in dollars and cents was $10.40.
ANSWER : Austin got discount of 8.84 $ and 34% of price of belt.
EXPLANATION
Price of belts is $26.
Price of belts after discount of 40% = $15.6
(60% of 26 is 15.6)
Price of belt after processing fee of 10% = 17.16
(110% of 15.6 is 17.16)
Final discount in $ = Price of belt - Price of belt after processing fee
26-17.16=8.84
Final discount in % = (8.84*100)/26 =34%
A printer company has two locations with a total of 23 employees. If four times the number of employees at the larger location is four greater than seven times the number of employees at the smaller location, how many employees are at each location?
A printer company has two locations with a total of 23 employees. Then, there are 08 employees are at smaller location and there are 15 employees in larger location.
System of Equation:
In algebra, a system of equations consists of two or more equations and finds a general solution to the equations. "A system of linear equations is a set of equations satisfied by the same set of variables."
The systems of equations discussed above are sets of equations that find general solutions for the variables involved. The following equation is an example of a system of equations.
2x - y = 12
x - 2y = 48
Let,
L = Number of employee at larger location.
S = Number of Employee at smaller location.
Since,
If Four times the number of employees at the larger location is four greater than seven times the number of employees at the smaller location.
Therefore,
4L = 7S +4 ------------------------- (1)
And, L+S = 23
⇒ S = 23- L
Putting S = 23-L in equation(1),
4L = 7(23-L) + 4
⇒ 4L = 161- 7L + 4
⇒ 4L +7L = 161 + 4
⇒ 11L = 165
⇒ L = 15
Therefore, in the larger location there are 15 employees.
Now,
Putting L = 15 in:
S = 23 -L
S = 23-15
S = 8
Therefore, there are 08 employees in the smaller location.
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Question
Evaluate the expression.
4216−−−√3−3=
PLEASEEEEEEE ITS DUE IN AN HOUR
Answer: 21
Step-by-step explanation: Evaluate the first expression which is the cube root of 216. 6^3 equals 216 so the cube root of it is equal to six. Multiply it by 4 because thats what's its there for and you get 24. Subtract by 3 to get the final answer, 21.
A high school principal asks a physical education teacher and football coach to obtain a sample of 20 student each to compare times in physical activity each week. the physical education teacher randomly selects 20 students from her classes and the football coach randomly selects 20 students from football teams. Do you expect the comparison to be fair.
No, the comparison is not expected to be fair. The two groups being compared are not selected randomly from the same population
Describe Population?A population is a group of organisms of the same species that live in the same geographic area and are capable of interbreeding. The term "population" can refer to a group of animals, plants, bacteria, or any other type of living organism.
Populations can vary in size from just a few individuals to millions or even billions. The size of a population can be influenced by a number of factors, including birth rates, death rates, immigration, and emigration.
Populations also have characteristics that define their genetic makeup, such as the frequency of particular alleles or genes. This genetic diversity can influence the ability of a population to adapt to changes in its environment or to recover from disturbances, such as disease outbreaks or natural disasters.
Understanding population dynamics is important for fields such as ecology, conservation biology, and public health, as it can help us to better manage and protect populations of organisms, including our own.
No, the comparison is not expected to be fair. The two groups being compared are not selected randomly from the same population, as the physical education teacher's sample only includes students from her classes, while the football coach's sample only includes students from the football team. This could lead to potential biases and differences between the groups that may not accurately reflect the general population of students at the high school. To ensure a fair comparison, both samples should be selected randomly from the same population.
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In your own words, explain what the main differences are between earned and unearned income
Earned income refers to the money an individual earns from working for an employer, running a business or providing a service. It is considered compensation for the labor or services provided by the individual. Examples of earned income include salaries, wages, bonuses, commissions, and tips.
Unearned income, on the other hand, is income that is not directly earned through labor or services provided. Instead, it comes from investments, government benefits, or other sources of passive income. Examples of unearned income include interest income, dividends, rental income, capital gains, and social security benefits.
One of the main differences between earned and unearned income is how they are taxed. Earned income is generally subject to payroll taxes, which includes Social Security and Medicare taxes, while unearned income is generally taxed at a different rate than earned income. Another difference is that earned income is more closely tied to an individual's skills, effort, and work output, while unearned income is often influenced by factors such as market conditions, investment decisions, and government policies.
Find the 13th geometric sequence 1, 2, 4, …
Answer:
24.
Step-by-step explanation:
The pattern is clearly going up by twos.
So continuing the pattern,
1, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24
1 2 3 4 5 6 7 8 9 10 11 12 13
Find an equation of the plane that contains the curve with the given vector equation. r(t) = (t, t3, t)
The equation of the plane can be expressed as 3t2x - y - 3t2z = d, where d is a constant.
What is equation?Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.
The equation of the plane that contains the curve with the vector equation r(t) = (t, t3, t) can be found by taking the cross product of two vectors that are on the plane. Let the two vectors be v1 = (1, 0, 1) and v2 = (1, 3t2, 1). Taking the cross product of these two vectors yields v1 x v2 = (3t2, -1, -3t2). This vector is perpendicular to the plane. Therefore, the equation of the plane can be expressed as 3t2x - y - 3t2z = d, where d is a constant.
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37 over 22 as a decimal rounded to the nearest hundredth
Answer: 1,68
Step-by-step explanation:
2. If f(x) = 3x - 5 and g(x) = x2, find (fog)(3)
20
27
22
18
We can solve with composite functions just as we do variables, by substituting one function into the other.
Solving the Question[tex]f(x) = 3x - 5[/tex]
[tex]g(x) = x^2[/tex]
First, find [tex]f\circ g(x)[/tex] by substituting g(x) into f(x):
[tex]f(x) = 3x - 5\\f\circ g(x)=3(x^2)-5\\f\circ g(x)=3x^2-5[/tex]
Now, find [tex]f\circ g(3)[/tex]:
[tex]f\circ g(3)=3(3)^2-5\\f\circ g(3)=3(9)-5\\f\circ g(3)=27-5\\f\circ g(3)=22[/tex]
Answer22
Ms. Wallace needs 45 juice boxes for a class trip. The juice boxes come in packages of 12. If Ms. Wallace already has 5 juice boxes, which equation would you use to find how many packages (p) she should buy?
The equation that is used to find the number of packages is 12x + 5 = 45.
Linear equation:
The mathematical statement that is used to find an unknown quantity is known as the Linear equation. In this, we use variables like 'x, y, z... to represent the unknown quantity or unknown number.
[ In the given problem we use variable 'x' to represent the number of packages. ]
Here we have
Ms. Wallace needs 45 juice boxes for a class trip.
The juice boxes come in packages of 12
Let Ms. Wallace needs to buy 'x' number of packages
Number of juice boxes in 'x' packs = 12x
Given that Ms. Wallace already has 5 juice boxes,
=> 12x + 5 = 45
Therefore,
The equation that is used to find the number of packages is 12x + 5 = 45.
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y=20(0.8)^x growth or decay
The given function,[tex]y=20(0.8)^x[/tex] is an exponential decay.
What is an exponential function?
An exponential function is a mathematical function of the form [tex]f(x) = a^x[/tex], where "a" is a constant and "x" is the input variable. These functions are commonly used to model situations that involve continuous growth or decay.
The function ,[tex]y=20(0.8)^x[/tex] represents exponential decay.
In the given function, a = 20 and b = 0.8, which is between 0 and 1. Therefore, the function represents exponential decay. This means that as x increases, the value of y decreases, getting smaller and smaller. In this case, the base 0.8 represents the decay factor, and 20 represents the initial value or the y-intercept of the function.
Hence, the given function,[tex]y=20(0.8)^x[/tex] is an exponential decay.
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Math question...pls help!
The value of the missing angle 1 is 59⁰.
What is the measure of angle 1?
The value of the measure of angle 1 is calculated by applying the concept of sum of angles in a triangle and sum of angles on a straight line.
The measure of the angle adjacent to 139⁰ is determined as follows;
? + 139⁰ = 180⁰ ( sum of angles in a triangle )
? = 180 - 139
? = 41⁰
The value of the missing angle 1 is calculated as follows;
m∠1 + 41⁰ + 80⁰ = 180 ( sum of angles in a triangle )
m∠1 + 121 = 180
m∠1 = 59⁰
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Mario & Luigi decide to invest in a Mushroom business, Mario invests $500,000 whilst Luigi invests $350,000. After their first year of business, they agree to split the profits within the same ratio of their initial investments. If the business made $3 million in profits, how much will Luigi receive?
a) a day
b) an hour
Amount Luigi received per day is $3,384.4 and Amount Luigi received per hour is about $141
What is Profit?Profit is the difference between the revenue that an economic entity has received from its outputs and the total cost of its inputs.
The amount Mario invests = $500,000
Amount Luigi invests = $350,000
The ratio in which the profit was split after their first year = Within the same ratio of their initial investments
The amount of profit made by the business = $3 million
The ratio of their initial investment = 500,000 : 350,000 = 10 : 7
Therefore, the ratio in which the profit is split = 10 : 7
The amount Luigi received in a year = (7/(10 + 7)) × 3 = 1235294 2/17
The time unit conversion from year to day is presented as follows;
Number of days in a year = 365 days
The amount Luigi received per day = (1235294 2/17)/365 = 3384 456/1241
= 3384.4
The amount Luigi received per day = $3,384.4
b) The number of hours in a day = 24 hours
Amount Luigi received per hour = (3384 456/1241)/24 = 141 19/1241
141 19/1241 = 141
The amount Luigi received per hour is about $141
Hence, amount Luigi received per day is $3,384.4
Amount Luigi received per hour is about $141
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what is parabola equation calculator
A parabola equation calculator is an online tool used to find the equation of a parabola based on its vertex and focus points, or other given parameters.
A parabola equation calculator is a type of math calculator used to find the equation of a parabola based on certain given parameters. These parameters could include the vertex and focus points, the directrix, or the x- or y-intercepts. By inputting these parameters into the calculator, users can obtain the equation of the parabola, which is a quadratic function in the standard form y = ax² + bx + c.
Parabolas are widely used in physics and engineering applications, such as the trajectory of a projectile, the shape of a satellite dish, or the design of a parabolic solar collector.
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