After answering the presented question, we can conclude that equation Therefore, the height of the plane after 6 minutes of descending is 19,500 feet.
What is equation?An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.
h(t) = 32,000 - 2,250t
h(6) = 32,000 - 2,250(6) = 19,500 feet
Therefore, the height of the plane after 6 minutes of descending is 19,500 feet.
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-7 + ◾ = 0 x 11
- 11+=-11
6+(-4+)=(6+(-4)+(-7)
The domain of the function using the attached diagram is given by option A. { x / x = -5, -3, 1, 2, 6 }.
As per the attach diagram,
The mapping in the diagram represents the relation between input values and the output values.
Let us consider all input values are represented by variable 'x'.
And all output values are represented by variable 'y'.
All input values represents the domain of the function.
-5 relates to 4
-3 relates to -9
1 relates to 2
2 relates to -6
6 relates to 0
Here,
Domain of the function is ,
{ x / x = -5, -3, 1, 2, 6 }
Range of the function is ,
{ y / y = 4, -9, 2, -6,0 }
Therefore, the domain of the function is equal to option A. { x / x = -5, -3, 1, 2, 6 }.
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The given question is incomplete, I answer the question in general according to my knowledge:
A mapping diagram shows a relation, using arrows, between inputs and outputs for the following ordered pairs: (negative 6, 0), (2, 1), (negative 7, negative 4), (11, 2), (3, 2).
What is the domain of the relation?
Diagram is attached.
A circular cookie cake costs $14.13. if the diameter of the cookie cake is 6 inches, what is the approximate cost per square inch of the cookie cake? use π = 3.14. a. $0.13 b. $0.25 c. $0.50 d. $0.75
The approximate price per square inch of the cookie cake is $0.50
The area of a circle is given through the formulation:
A = πr^2
In which r is the radius of the circle.
for the reason that diameter of the cookie cake is 6 inches, the radius is half of of that, or three inches.
Substituting this into the formulation, we've:
A = π(3^2) = 28.26 square inches (approximate)
The value per square inch is the overall value of the cookie cake divided with the aid of its area:
value per square inch = $14.13 / 28.26 sq.in = $0.50 (approximate)
Therefore, the approximate price per square inch of the cookie cake is $0.50
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A ladder is resting against a wall. The top of the ladder touches the wall at a height of 15 feet. Find the distance from the wall to the bottom of the ladder if the length of the ladder is one foot more than twice it's distance from the wall
The distance from the wall to the bottom of the ladder is approximately 5.97 feet.
Let's denote the distance from the wall to the bottom of the ladder as x, and the length of the ladder as y. We know that the top of the ladder touches the wall at a height of 15 feet, which means that the vertical distance from the ground to the top of the ladder is also 15 feet.
By using the Pythagorean theorem, we can write:
y² = x² + 15²
We also know that the length of the ladder is one foot more than twice its distance from the wall, which can be written as:
y = 2x + 1
We can substitute this expression for y into the previous equation and get:
(2x + 1)² = x² + 225
Expanding the left side and simplifying, we get:
3x² + 4x - 224 = 0
This is a quadratic equation, which we can solve using the quadratic formula:
x = (-4 ± √(4² - 43(-224))) / (2×3)
x = (-4 ± √(4 + 2688)) / 6
x ≈ -13.31 or x ≈ 5.97
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Which function has an inverse that is also a function? • g(x)=2x-3 •k(x) = -9x² • f(x) = |x + 2| •w(x) = -20
The function has an inverse that is also a function is g(x)=2x-3
What is Inverse function?A function that can turn into another function is known as an inverse function or anti function. In other terms, the inverse of a function "f" will take y to x if any function "f" takes x to y. The inverse function is designated by f⁻¹ or F⁻¹ if the function is written by f or F. Here, (-1) should not be confused with an exponent or an inverse.
A function takes in values, applies specific procedures to them, and produces an output. The inverse function works, agrees with the outcome, and returns to the initial function.
The solution in which x and y have been reversed is known as an inverse function.
The vertical line test determines whether a function succeeds or fails when you solve for y once more.
1. Here g(x) = 2x - 3 has inverse x = 2y - 3 which simplifies to;
[tex]y=\frac{x-3}{2}[/tex]
This is a line and is a function;
[tex]y=\frac{x}{2} +\frac{1}{2}[/tex]
2. k(x) = -9x² has the inverse x = -9y² which simplifies to;
[tex]y=\sqrt{x/(-9)}[/tex]
This is a function but only for certain values of x.
3. f(x) = |x+2| is an absolute value function.
Not all absolute value functions have function-based inverses.
4. A function's inverse does not exist for the equation w(x) = -20.
The function therefore has a negative that is also a function, which is
g(x)= 2x – 3.
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Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.
8 is subtracted from the cube of a number.
Answer: ChatGPT is acting weird
Step-by-step explanation:
The cube of a number x is represented as x^3, and 8 is subtracted from it.
So, the algebraic expression is:
x^3 - 8
1. use the quadratic equation to find the exact solutions to this equation, and simplify your answer: 2x^2 6x 12
As per the given statement, the quadratic equation is to be used to find the exact solutions to this equation, and the quadratic equation is given by [tex]ax² + bx + c = 0[/tex].
To solve the quadratic equation, we can use the quadratic formula given by[tex]x = (-b ± sqrt(b² - 4ac)) / 2a[/tex] Where x is the variable, a, b, and c are coefficients with a ≠ 0, and sqrt is the square root symbol.To find the exact solutions to this equation, we can use the quadratic formula with a = 2, b = 6, and c = 12.
Substituting these values in the quadratic formula, we get
[tex]x = (-6 ± sqrt(6² - 4 × 2 × 12)) / 2 × 2= (-6 ± sqrt(36 - 96)) / 4= (-6 ± sqrt(-60)) / 4= (-6 ± i√60) / 4= (-3 ± i√15) / 2[/tex]
Hence, the exact solutions to the given equation are [tex](-3 + i√15) / 2 and (-3 - i√15) / 2.[/tex]
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a bag contains 13 balls numbered 1 through 13. what is the probability of selecting a ball that has an even number?
The probability of selecting a ball that has an even number from a bag containing 13 balls numbered 1 through 13 is 6/13 or approximately 0.4615. This is because out of the 13 balls, 6 of them have even numbers.
To calculate the probability, we use the formula:
Probability = Number of Favorable Outcomes / Total Number of Outcomes
In this case, the favorable outcomes would be the number of even numbers, which is 6. The total number of outcomes would be 13 (the total number of balls in the bag). Therefore, the probability of selecting a ball that has an even number is 6/13.
Another way to look at this is to think of the probability as the ratio of favorable outcomes to total possible outcomes. In this case, the ratio is 6:13, which can be simplified to 3:6 or 1:2. Since one out of every two outcomes is favorable, the probability is 0.5, which is the same as 6/13.
To further understand the concept of probability, consider the example of a fair coin. If a fair coin is flipped, the probability of getting either heads or tails is 50%. This is because the ratio of favorable outcomes (one head and one tail) to total possible outcomes (two heads and two tails) is 1:2.
In conclusion, the probability of selecting a ball that has an even number from a bag containing 13 balls numbered 1 through 13 is 6/13 or approximately 0.4615.
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Parker Paint has just created a new color, Sunset Orange, made by mixing 3 parts of Fire Red with 5 parts of Brilliant Yellow. A graph to help customers decide how much paint they need is hanging in the store. Use the point shown from the graph to help you decide how much Fire Red paint is needed to paint one 8 foot by 10 foot wall.
To paint an 8 foot by 10 foot wall with Sunset Orange, one needs 48 parts of Fire Red and 80 parts of Brilliant Yellow.Using the graph, we can calculate that for every 5 parts of Brilliant Yellow, 3 parts of Fire Red is needed.
Using the graph, we can calculate that for every 5 parts of Brilliant Yellow, 3 parts of Fire Red is needed. Since we need to paint an 8 foot by 10 foot wall, we need 80 square feet of paint. To calculate how much Fire Red is needed, we can use the equation: 3 parts of Fire Red = 5 parts of Brilliant Yellow. We can rearrange this equation to read: 5 parts of Brilliant Yellow = 3 parts of Fire Red. To get the amount of Fire Red required to paint the wall, we can multiply 80 (the square footage of the wall) by 3 and divide it by 5, giving us a total of 48 parts of Fire Red.
To paint an 8 foot by 10 foot wall with Sunset Orange, one needs 48 parts of Fire Red and 80 parts of Brilliant Yellow.
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find a equation of the line through the point(-6,-5) and (-1,1))
a. y=6/5x + 11/5
b. y=6/5x - 11/6
c. y=6/5x
or
d. y=6/5x + 11/6
Answer:
The slope of the line passing through the points (-6,-5) and (-1,1) can be found using the formula:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) = (-6,-5) and (x2, y2) = (-1,1)
slope = (1 - (-5)) / (-1 - (-6)) = 6/5
Now, using point-slope form of the equation of a line, we get:
y - y1 = m(x - x1)
where m = 6/5 and (x1, y1) = (-6,-5)
y + 5 = 6/5(x + 6)
y + 5 = 6/5x + 6.72
y = 6/5x + 6.72 - 5
y = 6/5x + 1.72
Therefore, the equation of the line passing through the points (-6,-5) and (-1,1) is:
y = 6/5x + 1.72
Option (c) y=6/5x is not the correct equation of the line. The correct answer is (d) y=6/5x + 11/6.
the attendance for a basketball team declined at a rate of 5% per game throughout a losing season. 15 games were played in the season and 23,500 people were at the first game. how many people were at game 7?
At Game 7, the attendance for the basketball team had declined by 5% x 6 games = 30% and This means that the attendance at Game 7 was 23,500 x (1 - 0.3) = 16,450 people.
The attendance for a basketball team declined at a rate of 5% per game throughout a losing season. This means that for every game, the attendance dropped by 5% in comparison to the attendance of the game before it.
15 games were played in the season and 23,500 people were at the first game. To calculate the attendance at Game 7, we first need to calculate the total amount that the attendance had declined by by the 7th game.
This can be done by multiplying the rate of decline (5%) by the number of games that had passed (6 games). This gives us a total decline of 30%. We then need to calculate the attendance at Game 7 by subtracting the total decline from the initial attendance.
This can be done by multiplying the initial attendance (23,500) by (1 - 0.3), which gives us 16,450 people. Therefore, the attendance at Game 7 was 16,450 people.
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Determine the surface area of the cylinder. (Use π = 3. 14)
net of a cylinder where radius of base is labeled 5 inches and a rectangle with a height labeled 4 inches
157 in2
219. 8 in2
282. 6 in2
314 in2
The surface area of the cylinder with radius 5 inches and rectangle with height 4 inches is equal to 282.6 square inches.
Radius of the base = 5 inches
Height of the rectangle = 4 inches
Surface area of a cylinder
= area of the top and bottom circular faces + the area of the curved surface.
Here,
Rectangle represents the curved surface of the cylinder, with a height of 4 inches and a length equal to the circumference of the base.
Circumference of the base is equal to,
Circumference
= 2πr
= 2 x 3.14 x 5
= 31.4 inches (approx.)
Area of the curved surface of the cylinder is ,
Curved surface area
= Length x Height
= 31.4 inches x 4 inches
= 125.6 square inches
Area of each circular face of the cylinder is ,
Circular face area
= πr²
= 3.14 x 5²
= 78.5 square inches
Substitute the value to get total surface area of the cylinder we have,
Total surface area of the cylinder
= 2 x Circular face area + Curved surface area
= 2 x 78.5 square inches + 125.6 square inches
= 282.6 square inches (approx.)
Therefore, the surface area of the cylinder is approximately equal to 282.6 square inches.
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what is the probability of observing the expected value for the distribution of binomial(100, 0.20)?
The probability of observing the expected value for the distribution of a binomial (100, 0.20) is 0.20 (or 20%).
The probability of observing the expected value for a binomial distribution can be calculated using the following formula:
Probability = (n C r) p^r (1-p)^(n-r)
where n = number of trials,
r = expected value,
p = probability of success
For the given distribution, binomial (100, 0.20), we know that n = 100 and p = 0.20.
The expected value is given by:E(X) = np = 100 * 0.20 = 20
So, to find the probability of observing the expected value of 20, we need to plug in the values of n, r, and p into the formula:
Probability = (n C r) p^r (1-p)^(n-r)=
(100 C 20) (0.20)^20 (0.80)^80≈
0.1875 ≈ 0.20 (rounded to two decimal places)
Therefore, the probability of observing the expected value for the distribution of binomial (100, 0.20) is approximately 0.20 (or 20%).
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An aquarium tank holds 190 liters of water. How much is this in gallons? Use the following conversion: 1 gallon is 3. 8 liters. What is the Answer?
The aquarium tank that holds 190 liters of water equals to 50.15 gallons. Therefore, the answer to the given problem is 50.15 gallons.
Conversion factors are the ratios that describe the numerical relationship between two units of measurement.
The conversion factor of liters to gallons is 1 gallon is 3.8 liters.
Therefore, by multiplying the given value of liters by the conversion factor of liters to gallons, we can convert liters to gallons.
190 liters x 1 gallon/3.8 liters = 50.15 gallons
Thus, the aquarium tank that holds 190 liters of water equals to 50.15 gallons.
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when is welch's t-test used to compare two population means, and what distributional assumptions are needed?
Welch's t-test is a modified version of the t-test for independent means. Welch's t-test is an important statistical test that compares the mean of two groups that have different variances and is utilized when the assumptions of the t-test for independent means are violated.
However, unlike the standard t-test for independent means, Welch's t-test does not rely on the assumption that the variances of the two groups are equal. Instead, Welch's t-test relies on a more flexible assumption, that is, the assumption of unequal variances.
Welch's t-test's basic assumptions include the following:Independent samples: The sample sizes should be equal or almost equal in size. Normality: The two groups must have normally distributed populations. Even though Welch's t-test is more flexible than the standard t-test for independent means, the test is most accurate when the distributional assumptions are met.
It should be remembered that it is more conservative when the distributional assumptions are violated.
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the slope of a street is 0.54. if it covers 28m of horizontal distance, what is the rise of the street?
Answer: i believe its 15.12
Step-by-step explanation:
How do you solve this
The value of side x in the box is 8cm.
Definition of a cuboidA cuboid defined as a solid or figure in three dimensions with six rectangular sides known as faces. A cuboid contains six faces, each of which is a rectangle with all four corners at 90 degrees. It has 12 edges and 8 vertices. A cuboid's opposing faces are always equal. It indicates that the cuboid's opposing surfaces are in the same dimension.
Surface area of box=152cm²
Given:
l=6cm
b=2cm
h=x cm
Surface area of box=2(lb+bh+lh)
152=2(6×2+2×x+x×6)
152=2(12+8x)
12+8x=76
8x=64
x=8
Hence, The value of side x of the box is8cm.
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A scientist measures the amount of water collected in a tub at different times during the day. The table shows the time the water had been running and the amount of water in the tub.
Based on the information in the table, write an equation that can be used to find t, the number of minutes it took to collect w liters of water in the tub.
As a result, the following equation can be used to determine t, or how many minutes it took to fill the tub with w liters of water: t = (w - 0.2) / 0.4
what is slope ?Slope is a unit used to describe how steep or slope a line is. The ratio of the vertical change (rise) to the horizontal change (run) between any two locations on the line is what is referred to as the slope. In other words, the slope of the line going through the two points (x1, y1) and (x2, y2), which are on a line, is given by: Slope is equal to y2 - y1 / x2 - x1. Positive, negative, zero, or undefinable slopes are all possible.
given
With the slope and y-intercept in hand, we can now write the line's equation:
y = 0.4x + 0.2
Given a value for y, we wish to find a solution to this equation for x. In this instance, we're looking for t, or how many minutes it took to fill the tub with w liters of water. We can solve for x by substituting w for y:
w = 0.4t + 0.2
0.4t = w - 0.2
t = (w - 0.2) / 0.4
As a result, the following equation can be used to determine t, or how many minutes it took to fill the tub with w liters of water: t = (w - 0.2) / 0.4.
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5x+2y=10
Find the Y intercept and gradient
In an election, there were three candidates;⅔ of the electors voted for the first candidates,¼ for the second candidate and the rest for the third candidate. If the third candidate got 3290 votes, how many votes did the winner get? Solve this and show All your workings
The winner of the election got 26320 votes.
Let's first find the total number of votes cast in the election. We know that 2/3 fraction of the electors voted for the first candidate and 1/4 of the electors voted for the second candidate. Therefore, the remaining 1/12 of the electors voted for the third candidate. So, we have:
2/3 + 1/4 + 1/12 = 8/12 + 3/12 + 1/12 = 12/12 = 1
This means that all the electors voted, and the total number of votes cast is equal to the total number of electors.
Now, let's find the number of votes the third candidate got, which is 1/12 of the total number of votes. We know that this is equal to 3290. So, we have
1/12 x Total Number of Votes = 3290
Multiplying both sides by 12, we get:
Total Number of Votes = 3290 x 12 = 39480
Now, we can find the number of votes the first candidate got, which is 2/3 of the total number of votes. We have:
2/3 x Total Number of Votes = 2/3 x 39480 = 26320 votes
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Write a word sentence for the question
x - 14 = 52
Answer:
x-14=52|+14
x=52+14
x=66 candies
Step-by-step explanation: If Anna gives 14 candies to her sister, she remains with 52. How many candies does Anna have ?
The price of a new car is $28,000. Assume that an individual makes a down payment of 25% toward the purchase of the car and secures financing for the balance at the rate of 6%/year compounded monthly. (Round your answers to the nearest cent. )
(a) What monthly payment will she be required to make if the car is financed over a period of 36 months? Over a period of 60 months?
36 months=$
60 months=$
(b) What will the interest charges be if she elects the 36-month plan? The 60-month plan?
36-month plan =$
60-month plan=$
(a) The monthly payment for a 36-month plan is $704.41, and for a 60-month plan is $488.08.
(b) The interest charges for the 36-month plan are $1,459.07, and for the 60-month plan are $3,369.10.
For a)
To calculate the monthly payment for a car loan, we need to use the formula for monthly payments:
M = [tex]P[r(1+r)^n / ((1+r)^n - 1)][/tex]
where M is the monthly payment, P is the principal (the loan amount), r is the monthly interest rate (the annual interest rate divided by 12), and n is the number of months over which the loan is to be repaid.
For the 36-month plan, the principal is 75% of $28,000, or $21,000. The monthly interest rate is 6% / 12, or 0.005. The number of months is 36. Plugging in these values, we get:
M = $[tex]21,000[0.005(1+0.005)^{36} / ((1+0.005)^{36} - 1)][/tex] = $704.41
For the 60-month plan, the principal, monthly interest rate, and a number of months are the same, but we change the number of months to 60:
M = $21,000[0.005[tex](1+0.005)^{60[/tex] / ([tex](1+0.005)^{60[/tex] - 1)] = $488.08
Therefore, the monthly payment for a 36-month plan is $704.41, and for a 60-month program is $488.08.
For b)
To calculate the total interest charges for the loan, we need to subtract the principal (the amount of the loan) from the total amount paid and round to the nearest cent:
For the 36-month plan, the total amount paid is $25,459.07 (36 x $704.41), so the interest charges are:
$25,459.07 - $21,000 = $4,459.07, rounded to $1,459.07
For the 60-month plan, the total amount paid is $29,284.80 (60 x $488.08), so the interest charges are:
$29,284.80 - $21,000 = $8,284.80, rounded to $3,369.10
Therefore, the interest charges for the 36-month plan are $1,459.07, and the 60-month plan are $3,369.10.
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Math Homework Due Tomorrow,PLEASE HELP.
The cards below have various rational numbers on them. Which of the following diagrams shows the numbers in correct sets?
Answer:
Looks like J is right.
Step-by-step explanation:
Because the others are not right, and J was what my calculator said the numbers belonged to as in groups.
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i am stuck on this question and need help.
1. 53
2. can you explain more it would really help more
researchers are studying a population of small plants on an island. before and after a major drought, they dug up a random sample of plants and measured their root length. during the drought, no plant reproduction took place. what can be concluded from the plot below?
The correct conclusion that can be drawn from the plot is that the plant population had a significantly lower mean root length after the major drought occurred.
Explanation:
A frequency polygon is a graphical representation of a frequency distribution using line segments connected to points that indicate the midpoint of each class interval.
The horizontal axis shows the measurement variable, while the vertical axis shows the number of occurrences of the variable for each bin. The midpoint of each bin is used to represent the distribution of data that falls within that bin's range.
Since the values of adjacent bins overlap, the lines are connected. The points are connected by straight lines in a frequency polygon.
In this case, the conclusion that can be drawn from the plot is that the plant population had a significantly lower mean root length after the major drought occurred.
The peak of the frequency polygon has shifted to the left, indicating that the majority of plants have a shorter root length. The decrease in the mean root length of the plant population is due to the impact of the major drought on the island.
As a result, no plant reproduction took place, indicating a decrease in the plant population.
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In the diagram below, what is the measure of angle x?
Answer: C - 105
Step-by-step explanation:
75+75=150
360-150=210
210/2=105
a child-care center has 200 feet of fencing to enclose two adjacent rectangular safe play areas (of equal size). find the dimensions that will produce the maximum enclosed area. 5
The dimensions that will produce the maximum enclosed area for two adjacent rectangular safe play areas of equal size with 200 feet of fencing is 100 feet by 100 feet.
To solve this problem, use the area of a rectangle formula A = lw, where l is the length and w is the width.
Since the two play areas must be of equal size, let's call the length and width l and w, respectively.
We know that the total length of fencing is 200 feet, so l + w = 200 feet.
We can then solve for l by rearranging the equation as l = 200 - w.
We then substitute this into the area equation to get A = (200 - w)w.
To maximize the area, differentiate this equation to get A' = w - 200.
Set this to 0 and solve for w to get w = 100. Since l + w = 200, l = 100 as well.
Therefore, the maximum enclosed area is produced by dimensions of l = 100 feet and w = 100 feet.
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Harold walks once round a circle with diameter 100 metres.
There are 6 points equally spaced
on the circumference of the circle.
a) Find the distance Harold walks between
b) What is the mean distance covered by Harold
when walking from one point to the next?
m (1)
Harold therefore walks an average distance of 10 metres when moving from one location to another.
what is circle ?All the points in a plane that are equally spaced from a fixed point known as the centre make up a circle, which is a geometric form. The radius of a circle is the separation between any two points on the circle and its centre. A circle's diameter is defined as a line segment whose endpoints are on the circle and which goes through the centre of the circle. Circles are helpful in many areas of mathematics and science due to a number of significant characteristics.
given
A circle with a dimension of 100 metres has a circumference of d, where d is the diameter. As a result, this circle's diameter is:
C = d = (100) = 100 m
Harold will walk from one spot to the next after completing 1/6
of the circle's circumference because the circle's circumference has six points that are all equally spaced apart. As a result, Harold travels the following distance between each location:
Distance equals 1/6 * C * 1/6 * 100 * (50/3) metres.
b) The average of the distances between each location, which we just discovered to be (50/3) metres, represents the average distance that Harold covers when moving from one place to another. The circle has six evenly distributed points, so the average distance travelled by Harold is:
(Total distance travelled) / Mean distance (Number of segments)
Total distance travelled equals the distance between two adjacent locations on the circle, which is C/2, or (1/2) 100 metres, or 50 metres.
Segment count equals number of marks - 1 (i.e., 6 - 1 = 5).
The average distance Harold travels while strolling is as follows:
Typical distance is calculated as (Total distance travelled) / (Number of segments), which equals (50) / 5 = 10 metres.
Harold therefore walks an average distance of 10 metres when moving from one location to another.
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The forecast maximum temperature, in degrees Celsius, and the observed maximum temperature are recorded to determine the accuracy in the temperature prediction models used by the weather bureau.
Around noon, when the forecast temperature is about 4 degrees Celsius higher than the measured temperature, the difference is at its greatest.
what is correlation coefficient ?The strength and direction of the linear connection between two variables are measured by the correlation coefficient. Its value goes from -1 to 1, and it is represented by the symbol "r". A perfect negative correlation, or r = -1, implies that as one variable rises, the other variable falls in an exact predictable manner. There is no linear relationship between the two variables if r = 0, which implies there is no correlation between the two variables. When r = 1, there is a perfect positive correlation, meaning that when one measure rises, the other rises in an exact predictable manner.
given
The maximum temperature for a specific day is shown in the provided image alongside the predicted maximum temperature.
The blue line depicts the expected maximum temperature, while the red line depicts the actual maximum temperature.
We can see that throughout the day, the forecast temperature is typically greater than the actual temperature.
Around noon, when the forecast temperature is about 4 degrees Celsius higher than the measured temperature, the difference is at its greatest.
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How do I solve for x and y?
Answer:
x = 80
y = 160
Step-by-step explanation:
The sum of all arc measures that make up a circle is 360°. Therefore:
[tex]\implies 200^{\circ} + y^{\circ} = 360^{\circ}[/tex]
[tex]\implies 200^{\circ} + y^{\circ} - 200^{\circ} = 360^{\circ} - 200^{\circ}[/tex]
[tex]\implies y^{\circ} = 160^{\circ}[/tex]
[tex]\implies y=160[/tex]
Tangent and Intersected Chord TheoremIf a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is one-half the measure of its intercepted arc.
Therefore, according to the Tangent and Intersected Chord Theorem, the measure of angle x is equal to half of the measure of arc y:
[tex]\implies x^{\circ}=\dfrac{1}{2} y^{\circ}[/tex]
[tex]\implies x^{\circ}=\dfrac{1}{2} \cdot 160^{\circ}[/tex]
[tex]\implies x^{\circ}=80^{\circ}[/tex]
[tex]\implies x=80[/tex]
[tex]\hrulefill[/tex]
Circle Theorem vocabularyChord: A straight line joining two points on the circle.Tangent: A straight line that touches a circle at only one point.Arc: the curve between two points on the circumference of a circleIntercepted arc: The curve between the points where two chords or line segments intercept the circumference of a circle.Help againnnn pleaseeee
Answer:
20- gon
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
given the sum of the interior angles is 3240° , then
180° (n - 2) = 3240 ( divide both sides by 180° )
n - 2 = 18 ( add 2 to both sides )
n = 20
then the polygon is a 20- gon