The area inside the larger loop and outside the smaller loop of the Limacon [tex]r=\frac{1}{2}+cos\theta[/tex] is [tex]\frac{\pi+3\sqrt3}{3} u^2[/tex].
The given equation is [tex]r=\frac{1}{2}+cos\theta[/tex].
The polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction. The relationship between rectangular and polar coordinates is:
[tex]x=rcos\theta[/tex]
[tex]y=rsin\theta[/tex]
[tex]r^2=x^2+y^2[/tex]
[tex]\theta=tan^{-1}(\frac{y}{x})[/tex]
[tex]J=r[/tex]
The area between the curve [tex]r=f(\theta)[/tex] and two polar radius corresponding to [tex]\theta_1=\alpha[/tex] and [tex]\theta_2=\beta[/tex] is:
[tex]A=\frac{1}{2}\int_{\alpha}^{\beta}[f(\theta)]^2d\theta[/tex]
We have that:
[tex]\frac{1}{2}+cos\theta=0[/tex]
[tex]cos\theta=-\frac{1}{2}[/tex]
[tex]\theta_1=\frac{2\pi}{3}[/tex]
[tex]\theta_2=\frac{4\pi}{3}[/tex]
Then, the top half of larger loop of the Limacon is defined on the interval [tex][0, \frac{2\pi}{3}][/tex] and bottom half of smaller loop is defined on the interval [tex][\frac{2\pi}{3}, \pi][/tex].
Therefore, the area inside the larger loop and outside the smaller loop of the given Limacon will be:
[tex]A=2\frac{1}{2}[\int_0^{2\pi/3}(\frac{1}{2}+cos\theta)^2d\theta-\int_{2\pi/3}^{\pi}(\frac{1}{2}+cos\theta)^2d\theta][/tex]
[tex]=\int_0^{2\pi/3}(\frac{1}{4}+cos\theta+cos^2\theta)d\theta-\int_{2\pi/3}^{\pi}(\frac{1}{4}+cos\theta+cos^2\theta)d\theta[/tex]
[tex]=\int_0^{2\pi/3}(\frac{1}{4}+cos\theta\frac{1}{2}+\frac{cos2\theta}{2})d\theta-\int_{2\pi/3}^{\pi}(\frac{1}{4}+cos\theta+\frac{1}{2}+\frac{cos2\theta}{2})d\theta[/tex]
[tex]= (\frac{3}{4}\theta+sin\theta+\frac{sin2\theta}{4})|_0^{2\pi/3}-(\frac{3}{4}\theta+sin\theta+\frac{sin2\theta}{4})|_{2\pi/3}^{\pi}[/tex]
[tex]= \frac{\pi}{2}+sin\frac{2\pi}{3}+\frac{1}{4}sin\frac{4\pi}{3}-(\frac{3\pi}{4}-\frac{\pi}{2}-sin\frac{2\pi}{3}-\frac{1}{4}sin\frac{4\pi}{3})[/tex]
[tex]= \frac{\pi}{4}+\sqrt3-\frac{1}{4}\sqrt3[/tex]
[tex]= \frac{\pi+3\sqrt3}{3} u^2[/tex]
Therefore, the area inside the larger loop and outside the smaller loop of the Limacon [tex]r=\frac{1}{2}+cos\theta[/tex] is [tex]\frac{\pi+3\sqrt3}{3} u^2[/tex].
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Antonio collected data on airline flights. The equation for his set of data is M = 1,754 – 550h, where M represents the distance a plane is from its destination and h represents the time in hours. What is the meaning of the y-intercept?
A.the distance the plane has traveled after 1 hour
B.the distance the plane traveled per hour
C.the length of time the plane takes to reach its destination
D.the distance from the destination before the plane departs
1,754 represents the y-intercept that the distance the plane traveled per hour
How to obtain the equation for the line of best fit?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which the coefficients are given as follows: m is the slope, representing the rate of change of the output of the function relative to the input. b is the y-intercept, representing the value assumed by the function the input assumes a value of zero.
We are given that the equation for his set of data is M = 1,754 – 550h, where M represents the distance a plane is from its destination and h represents the time in hours.
Therefore, M = 1,754 – 550h
Here we can see that 1,754 represents the y-intercept meaning that the distance the plane traveled per hour
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A website is selling plastic rings for $0.63. The site got the plastic rings at a cost of $0.25. What percentage is the mark-up?
The percentage that is the mark-up is 152%
What percentage markup did the website make?From the question, we have the following parameters that can be used in our computation:
Initial value = $0.25
Final value = $0.63
The percentage mark up is then calculated as
Percentage mark up = (Final value - Initial value)/Initial value * 100%
Substitute the known values in the above equation, so, we have the following representation
Percentage mark up = (0.63 - 0.25)/0.25 * 100%
Evaluate
Percentage mark up = 152%
Hence, the percentage mark up is 152%
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What is the answer to this question?(m^0)^2
Answer:
1
Step-by-step explanation:
(m^0)^2 Any non-zero expression raised to the power of 0 equals 1 .
m^0 = 1 Bring down the exponent ^2
1^2
The exponent 2 represents how many times the base number is going to be multiplied by itself. So, 1 is going to be multiplied twice by itself
So,
1 x 1 = 1
Solution, 1
What is simple and complex fraction?
A simple fraction is a fraction composed of a numerator and denominator, such as 3/4. A complex fraction is a fraction that has another fraction in either the numerator or denominator, such as 2/3 + 1/4.
A simple fraction is a fraction made up of a numerator and denominator, such as 3/4. The numerator is the number on top of the fraction, and the denominator is the number on the bottom. The fraction represents a division of the numerator by the denominator. A complex fraction, on the other hand, is a fraction that has another fraction in either the numerator or denominator. For example, 2/3 + 1/4 is a complex fraction because it has 1/4 in the numerator. Complex fractions can be used to represent more complicated divisions, such as the division of one complex fraction by another. They can also be used to represent the sum of two or more fractions. Complex fractions can be simplified by reducing the fraction’s terms to their lowest common denominator, which can make them easier to work with.
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A simple fraction is a fraction composed of a numerator and denominator, such as 3/4. A complex fraction is a fraction that has another fraction in either the numerator or denominator, such as 2/3 + 1/4.
complex fraction
A complex fraction is a rational expression that has a fraction in its numerator, denominator or both. In other words, there is at least one small fraction within the overall fraction.
Fraction
A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.
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A little boy accidentally let go of his balloon, and it floated away. It was 3 feet above the ground when he let go, and it steadily rose 3 feet per second.
The equation that shows the relationship between the number of seconds since the boy let the balloon go is y = 3x + 3.
What is a function?A function can be defined as the outputs for a given set of inputs. The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Here,
Given, A little boy accidentally let go of his balloon, and it floated away. It was 3 feet above the ground when he let go this height is our constant value in the function.
It steadily rose 3 feet per second.
Assuming time in seconds to be x and total height is y.
∴ An equation that shows the relationship between the number of seconds since the boy let the balloon go is,
y = 3x + 3
The link between the amount of seconds after the youngster let go of the balloon is shown by the equation y = 3x + 3.
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The measure of an exterior angle of a triangle is ..... the sum of the measures of the remote interior angles.
Using the properties of a triangle, The answer is Yes, The measure of an exterior angle of triangle is sum of the opposite interior angles of the triangle.
What is an angle?An angle is a measure of the amount of rotation between two lines or planes. It is typically measured in degrees or radians. An angle can be defined as the amount of rotation needed to bring one line or plane into coincidence with another. Angles are often represented graphically as a central point, called the vertex, and two rays that extend from the vertex in different directions. The angle is the amount of rotation needed to rotate one ray so that it coincides with the other ray.
What is a triangle?A triangle is a three-sided polygon that has three angles and three sides. The sum of the three angles in a triangle is always 180 degrees. Triangles can be classified based on their side lengths and angles, such as right triangles, acute triangles, and obtuse triangles. A right triangle has one angle that measures exactly 90 degrees, while an acute triangle has all angles that measure less than 90 degrees, and an obtuse triangle has one angle that measures greater than 90 degrees. Triangles can also be classified by the length of their sides as equilateral, isosceles and scalene triangle. An equilateral triangle has all sides of equal length, an isosceles triangle has two sides of equal length, and a scalene triangle has no sides of equal length.
z = exterior angle
x, y = opposite interior angles to z.
z= x + y
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If the expression, 10x² +23x-42 is factored as (ax + b) (cx-d) where a, b, c, and d are integers. What is the value of a?
The value of the variables a, b, c, and d will be 2, 7, 5, and -6, respectively.
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
If the expression, 10x² +23x - 42 is factored as (ax + b) (cx-d) where a, b, c, and d are integers.
Factorize the expression, then we have
⇒ 10x² +23x - 42
⇒ 10x² + 35x - 12x - 42
⇒ 5x(2x + 7) - 6(2x + 7)
⇒ (2x + 7)(5x - 6)
Compare the factors with (ax + b) (cx-d).
The value of the variables a, b, c, and d will be 2, 7, 5, and -6, respectively.
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What is the slope of the line associated with the equation 5x- 6y=30
Answer:
so shortcut method for finding slope in equation is simply slope = - coefficent of x/ coefficient of y
Answer:
5/6
Step-by-step explanation:
put the equation into slope-intercept form: y = mx + b
5x - 6y = 30
-6y = -5x + 30
y = (-5/-6)x - (30/6)
y = 5/6x - 5
Therefore, slope = m = 5/6
The mass of a baby boy at birth was 3.6kg. When he was 6 months old and 12 months old, his masses were 7.2 kg and 10.0 kg respectively. What was the percentage increase in his mass at 12 months old when compared with (a) his mass at birth (b) his mass at 6 months old
Using the concept of fraction and percentage, the percentage increase of the baby at 12 months is 177.7 percent
What is Percentage IncreasePercentage increase is a mathematical concept that refers to the increase in a particular value over its initial amount. It is usually expressed as a percentage and is calculated by dividing the increase in the value by the original amount, then multiplying by 100.
In this problem, the data given are;
Initial mass = 3.6kgmass at 6 months = 7.2kgmass at 12 months = 10kgThe percentage increase at 12 months old can be calculated as
percentage increase = [(mass at 12 months - Initial mass) / Initial mass] * 100
percentage increase = [(10 - 3.6) / 3.6] * 100
percentage increase = 1.7 * 100
Percentage increase = 177.7%
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please help on #5. I’m so confused and don’t understand what it’s asking.
She needs 15 minutes to complete 2 miles, thus completing 4 miles at the same rate will take her 4 hours and 15 minutes.
what is statistics ?The average number of points received by students in one math class at the conclusion of the term, for instance, is an example of a statistic since it represents the population of all math classes, if we view that class as a sample. Because it integrates arithmetic ideas to create an analysis of a data set that may be used to comprehend an association in the data, statistics has earned a reputation for being an extremely challenging course, especially when studied in college (whoo that was a mouthful).
given
The unit rate for the ratio of 150 minutes to every 20 miles is obtained by dividing 150 by 20.
150÷20=7.5
Thus, the runner is covering one mile in 7.5 minutes. This unit rate can be multiplied by the number of miles:
6 miles in 7.5 minutes equals 45 minutes.
At this speed, she can complete 6 miles in 45 minutes.
If she runs 6 miles in 45 minutes, she will run 2 miles at the same pace in 453=15 minutes.
She needs 15 minutes to complete 2 miles, thus completing 4 miles at the same rate will take her 4 hours and 15 minutes. She is moving at a speed of 8 miles per hour since 60 minutes equal 1 hour.
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On a coordinate plane, a line goes through (negative 3, negative 4) and (2, negative 2). choose values for a and b to create infinitely many solutions to this system of equations. 10x – ay = 60 –10x 20y = b a = b =
The value for a = 10 and b = -[tex]\frac{16}{5}[/tex] to create infinitely many solutions to this system of equations.
STEPS FOR FIND a AND bThe given line can be represented by the equation y = mx + b, where m is the slope of the line and b is the y-intercept. To find m and b, we can use the coordinates of two points on the line:(x1, y1) = (negative 3, negative 4) and (x2, y2) = (2, negative 2).
The slope of the line is given by:m = (y2 - y1) ÷ (x2 - x1) = (-2 - (-4)) ÷ (2 - (-3)) = [tex]\frac{2}{5}[/tex]
The y-intercept of the line is given byb = y1 - mx1
= -4 - ( [tex]\frac{2}{5}[/tex])(-3)
= -4 - (- [tex]\frac{2}{5}[/tex])
= -4 + [tex]\frac{2}{5}[/tex]
So the equation of the line is:y = ( [tex]\frac{2}{5}[/tex])x - 4 + [tex]\frac{2}{5}[/tex] = [tex]\frac{2}{5}[/tex] x - [tex]\frac{16}{5}[/tex]
To create infinitely many solutions, we have to make sure that the line equation is equal to the equation of the other equation we have. and by using these values:10x - ([tex]\frac{16}{5}[/tex])y = 60
So we can say that, a = 10, b = - [tex]\frac{16}{5}[/tex]Learn more about equation y = mx + b here:
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With the hit and trial method of infinite number of solutions, the equation can be solved through:
A=20
B= -60
A system with infinite number of solutions is formed by equations which are a multiple of the other one. To create infinitely many solutions, we have to make sure that the line equation is equal to the equation of the other equation we have. Then, the following proportion must be observed:
A=10/-10 = -A/20 = 60/B
A= -1
-A/20 = -1
A=20
60/B= -1
B= -60
Hence the values for A and B are 20 and -60 respectively.
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The graph below shows the amount of money that Scott has to pay for extra labor for someone to help him work on his property. He hired his nephew to work after school and on weekends.
Which statement correctly describes the graph?
Responses
A Scott pays his nephew $15 per hour, and he initially had $900 for extra labor.Scott pays his nephew $15 per hour, and he initially had $900 for extra labor.
B Scott pays his nephew $10 per half-hour, and he initially had $900 for extra labor.Scott pays his nephew $10 per half-hour, and he initially had $900 for extra labor.
C Scott pays his nephew $10 per hour, and he initially had $900 for extra labor. Scott pays his nephew $10 per hour, and he initially had $900 for extra labor.
D Scott pays his nephew $20 per hour, and he initially had $900 for extra labor.
Scott pays his nephew $10 per hour, and he initially had $900 for extra labor. Then the correct option is C.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The graph below illustrates how much Scott must spend on additional labor to hire someone to assist him as he works on his property. He recruited his nephew to work on weekends and after school.
From the graph, the two points are (0, 900) and (800, 10). Then the slope of the line is given as,
m = (900 - 800) / (0 - 10)
m = - 100 / 10
m = - 10 dollars per hour
Then the equation is given as,
y = - 10x + 900
Scott pays his nephew $10 per hour, and he initially had $900 for extra labor. Then the correct option is C.
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Write a while loop that prints a. All squares less than n. For example, if n is 100, print 0 1 4 9 16 25 36 49 64 81.
Answer:
n = input()
a = 0
while pow(a, 2) < n:
print(pow(a, 2))
a += 1
Step-by-step explanation:
5 tomatoes for3.10. What was the cost per tomato
Answer:
0.62 cents
Step-by-step explanation:
divide 5 and 3.10
hope this helps:)
Which statements are correct interpretations of this graph?
Melanie pumps 4 in. of water every 4 hours
Melanie pumps 8 in. of water every 4 hours
Melanie pumps 0.5 in. of water every hour
Melanie pumps 14 in. of water every 7 hours
At a community bake sale, Justin earned $1.50c selling cookies, $2.25m selling muffins, and $1.90b selling brownies. He paid $0.30b for the ingredients for the brownies, $0.19c for the cookie ingredients, and $0.59m for the muffin ingredients.
Which expression represents his total profit?
1.2c+2.06m+1.31b
1.8c+2.44m+2.49b
1.31c+1.66m+1.6b
1.69c+2.84m+2.2b
The expression that represents the profit Justin made is 1.31c + 1.66m + 1.6b ( option C)
What is linear expression?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.
Justin earned $1.50c selling cookies but he spent $0.19c. Therefore the profit on cookies = $(1.5-0.19)c. = $1.31c
He earned $2.25m by selling muffins and spent $0.59m on the ingredients. Therefore the profit He made on muffins = $(2.25-0.59) = $1.66m
He earned $1.90b selling brownies and he spent $0.30b on ingredients. The profit he made on brownies = $1.90-$0.30 = $1.60b
Therefore the expression for the total profit = $(1.31c+ 1.66m+1.6b)
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suppose that x and y are substitute goods. if the price of good x increases, we can expect:
If the price of good x increases, the demand curve for good Y to shift to the right.
Complement goods are defined as the goods that a consumer likes to consume with a given good. Example of goods like it , peanut butter and jelly.
Substitute goods are those goods that a consumer could consume instead of a given good. For example, peanut butter and almond butter. The Market Equilibrium is used to define the intersection between the demand and supply curve. In other words, the market equilibrium occurs when price and quantity are same.o
When the price of a substitute , x increases, the demand for the second good increases. That is to say, there is a positive relationship between these two variables. In other words the price of good x increased , the demand for x will increase because it is more attractive for consumers. Therefore, the demand curve of y all shifts to the right.
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if a six sided die is tossed two times, the probability of obtaining two "4s" in a row is
Answer:
[tex]\frac{1}{36}[/tex]
Step-by-step explanation:
The probability of rolling a 4 is 1/6.
Using the multiplication rule, the required probability is [tex](1/6)^2=\frac{1}{36}[/tex].
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 7
and DC 11, what is the length of BD in simplest radical form?
The length of BD in simplest radical form is √77 units
What is a right-angle triangle?
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
Hypotenuse AC = AD + DC = 7 + 11 = 18
Altitude = square root of the multiplication of AD and DC
√(7 x 11) = X
√77 = X
√77 can't be simplified further
Therefore, the length of BD is √77 units
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what is 10 divided by 1 2/3
Answer: 6
Step-by-step explanation:
One event A is _________________ of another event B if the probability of event A has occurred given event B is the same as the probability that A will occur with no knowledge of B.
One event A is dependent on another event B if the probability of event A has occurred given event B is the same as the probability that A will occur with no knowledge of B.
When Two events are to be Dependent the outcome of the first event influences the outcome of the second event, and also defines if the outcome of one event affects the outcome of the other.
When two events, A and B are dependent, the probability of occurrence of A and B is:
P(A and B) = P(A) · P(B|A)
P(A) represents the probability of happening an event A.
P(B) represents the probability of happening an event B.
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Three vertices of a parallelogram are shown in the figure below.
Give the coordinates of the fourth vertex.
(-7,-2)
(1,-4)
(5,0)
The coordinate of fourth vertex is (-3, 2) determined by using the properties of parallelogram.
What is parallelogram?
The quadrilateral whose opposite sides are equal and parallel to each other along with equal opposite angles is called parallelogram. The only difference of parallelogram from rectangle is that rectangle has four right angles, but parallelogram has not.
How to determine the coordinate of the fourth vertex given in the question?we are given, three vertices as (-7, -2), (1, -4) and (5, 0)
let, the fourth vertex is (x, y)
the above vertices can be named as A (-7, -2), B (1, -4) and C (5, 0)
and D (x, y)
We know the distance of two points (x₁, y₁) and (x₂, y₂) is given by the following formula.
√[(x₂-x₁) ²+(y₂-y₁) ²]
Now distance from A to B = √[(1+7)² + (-4+2) ²]
length of AB = √ (64 + 4) = √68
distance from B to C = √ [(5-1)² + (0+4) ²]
length of BC = √32 = 4√2
According to the properties of parallelogram, two opposite sides are equal and parallel to each other.
If ABCD is a parallelogram, then AB = CD and BC = AD
length of CD = √[(x-5) ² + (y- 0) ²] = AB
length of AD = √ [ (x+7) ² + (y+2) ²] = BC
√68 = √[(x-5)² + y²]
after squaring both sides, we get 68 = x² - 10x + 25 +y²
x²+ y² -10x -43 = 0 ... equation 1
4√2 = √[(x+7) ² + (y+2) ²]
32 = x² + 14x + 49 + y² + 4y + 4
x² + y² +14x + 4y +21 = 0 .......... equation 2
solving the equation 1 and 2 we determine the value x = -3 and y =2
hence, the fourth vertex D (x, y) = D(-3, 2)
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Samuel has 1 cup of rubbing alcohol and will use the entire amount. He plans to store the cleaning solution in containers that each hold a maximum of 6 cups. How many containers does he need.
Samuel needs a total of 6 containers for his plan
How to determine the number of container he needs?The complete question is added as an attachment
From the question, we have the following parameters that can be used in our computation:
1 cup of rubbing alcohol = 1/(1/2) = 2 shares
Also, we have
1 cup of rubbing alcohol contains = 1 + 1/2 + 16 = 17.5
For the 2 shares calculated above, we have
2 shares = 17.5 * 2
Evaluate
2 shares = 35
Given that each can hold a maximum of 6 cups, the number of containers needed is
Container = 35/6
This gives
Container = 5.83
Round up
Container = 6
Hence, he needs 6 containers
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Two different containers with coins each have a volume of 500 mL. One container is full of quarters and the other container is full of pennies. What will happen to the volume if all of the coins are transferred into separate 1 L containers?
The total volume of coins will remain the same, but the two containers will now each have a volume of 1 L.
1. The two containers each have a volume of 500 mL.
2. Both containers are full of coins: one of quarters and the other of pennies.
3. All of the coins are transferred into separate 1 L containers.
4. The total volume of coins will remain the same (500 mL), but the two containers will now each have a volume of 1 L.
The original two containers each had a volume of 500 mL and were full of coins - one container with quarters, the other with pennies. All of the coins were then transferred into separate 1 L containers. After this, the total volume of coins remained the same (500 mL), but the two containers now had a volume of 1 L each. This means that the same amount of coins were contained in a larger space, which did not affect the amount of coins but did affect the volume of the containers. Therefore, when all of the coins were transferred into separate 1 L containers, the total volume of coins stayed the same, but the two containers each had a volume of 1 L.
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318.2 is what percent of 256?
Answer: 124.3%
318.2 is 124.3% of 256.
Hey there!
Answer:
318.2 is 124.296875% of 256.
Hope this helps!
Suppose A is a 7x5 matrix. How many pivot columns must A have if its columns are linearly independent? Why? Select the correct answer below. A. The matrix must have 7 pivot columns. Otherwise, the equation Ax = 0 would have a free variable, in which case the columns of A would be linearly dependent B. The matrix must have pivot columns. The statements "A has a pivot position in every row and the columns of A are linearly independent" are logically equivalent.C. The matrix must have 7 pivot columns. If A had fewer pivot columns, then the equation Ax = 0 would have only the trivial solution. D. None of the columns of A are pivot columns. Any column of A that is a pivot column is linearly dependent with the other pivot columns.
The correct option is B. The matrix must have pivot columns. The statements "A has a pivot position in every row and the columns of A are linearly independent" are logically equivalent.
The data given in this question is,
Suppose A is a 7 × 5 matrix.
The objective of this question is to find how many pivot columns must have if its columns are linearly independent.
Explanation for step 1:
A key idea in linear algebra is linear independence. If no vector can be expressed as a linear combination of the others, then two or more vectors are said to be linearly independent.Consider the given data that A is a 7 × 5 matrix.
All fine columns of 7 × 5 matrix A must be Pivot Columns.
Otherwise the equation AX=0, would have a free variable, in which care the Columns of would be linearly dependent.
Explanation:
Each relationship of linear dependency between the columns of A relates to a complex solution to the equation Ax=0. If and only if the trivial solution exists for the equation Ax=0, then the column of matrix A are linearly independent.Therefore, the required answer for the given question is option (B) correct.
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Veda climbs up the mountain while Kaleb climbs down. The equation and the table represent the
elevations of the climbers in feet, y, as functions of time in minutes,.
LOOK AT PHOTO
Answer:
Veda: 10
Kaleb: 20
Step-by-step explanation:
Veda is seen in the equation:
y = 10x + 600
The 600 is telling us what elevation she started at and the 10 tells us her rate.
Kaleb:
We see that he went down 20 feet every second (570 - 550)
Answer: Hope This help:)
Step-by-step explanation:
. the width of the pool is 25 m find the length of the acual pool?
Answer: How are you supposed to know the length if you only know the width. There isn't an answer to this question.
Find the values of the variables
Answer:
W = 59 degree
Y = 59 degree
Z = 53 degree
x = 121 degree
v = 121 degree
Step-by-step explanation:
W = 59 degrees because a triangle has a total of 180 degrees, and we know 2 of the angles, one is 31 degrees and the other is 90 degrees, so
90 + 31 = 121
180 - 121 = 59 degrees
So, W = 59 degrees
Y = 59 degrees because w and y are vertical angles.
z = 53 degrees because
68 + 59 = 127
180 - 127 = 53 degree
So, z = 53 degree
x = 121 degree, y = 121 degree because w, x, y, v add up to 360 degree
59 + 59 = 118
360 - 118 = 242
242 / 2 = 118 degree
So, x and y equal to 118 degrees.
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are the categories by which data are grouped.
Classes
Class widths
Upper class limits
Lower class limits
Those are all categories used in grouping data in statistics.
Classes refer to the specific groups or intervals into which the data is divided.Class widths refer to the range of values within each class.Upper class limits refer to the highest value in each class.Lower class limits refer to the lowest value in each class.Data Classification CategoriesThese categories are typically used for creating a frequency distribution, which is a way to organize and summarize a set of numerical data. By grouping the data into classes, it becomes easier to see patterns and trends in the data, such as the shape of the distribution and the presence of outliers.
Additionally, these categories are often used to create histograms, which are graphical representations of a frequency distribution. Histograms are useful for visualizing the distribution of a dataset and identifying any patterns or outliers in the data.
Learn more Data Classification Categories here:
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