Consider "Since some shoes are sneakers, some non-sneakers are non-shoes." This inference, drawn by contraposition, is:
A) Valid
B) Not valid
C) Valid by limitation
The correct option is B) Not valid. Consider the statement “Since some shoes are sneakers, some non-sneakers are non-shoes.”
We know that all sneakers are shoes, but all shoes are not sneakers. Hence, some shoes are sneakers. But, this statement does not imply that “some non-sneakers are non-shoes.” This inference cannot be drawn by contraposition. So, it is not valid.Inferences cannot be drawn in contraposition all the time. Contraposition is a type of logical statement that involves reversing and negating the terms of an original proposition. It is a logical relationship between a proposition and its converse. If a proposition is true, the contrapositive is always true.An example of contraposition can be shown as follows:“If a person is a human, then they are mortal.”We can write the contrapositive of this statement as:“If a person is not mortal, then they are not human.”
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Oh much bigger is5.02x10-2 than 4.79x103 in
diameters
5.02 x \(10^{-2\) is about 0.0105 times as big as 4.79 x \(10^3\) in diameters.
What is diameter?
Diameter is a straight line that passes through the center of a circle or sphere, and touches its circumference or surface at two points. It is the longest distance between two points on the circle or sphere.
To compare the two numbers, we need to convert them to the same exponent. Let's convert 5.02 x \(10^{-2\) to scientific notation with an exponent of 3 (the exponent of 4.79x\(10^3\)):
5.02x\(10^{-2\) = 5.02x\(10^{-2\) x \(10^3\) / \(10^3\) = 5.02x\(10^1\) x \(10^{-3\) = 5.02x\(10^{-2\)+3 = 5.02x\(10^1\)
Now we can compare the two numbers directly:
5.02x\(10^1\) is much bigger than 4.79x\(10^3\).
To be more precise, we can divide the two numbers:
(5.02x\(10^1\)) / (4.79x\(10^3\)) ≈ 0.0105
So 5.02 x \(10^{-2\) is about 0.0105 times as big as 4.79 x \(10^3\) in diameters.
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Mr kuldeep bought 7½ kg of and Mr Rajesh bought 5¾ kg of rice .who bought more rice and by how much.
Mr. Kuldeep bought more rice than Mr. Rajesh by 1¾ kg, or 1.75 kg more than Mr. Rajesh.
Mr. Kuldeep bought 7½ kg of rice and Mr. Rajesh bought 5¾ kg of rice. To find out who bought more rice and by how much, we need to compare the two quantities.
First, let's convert the mixed numbers into improper fractions:
7½ kg = (7 x 2 + 1)/2 = 15/2 kg
5¾ kg = (5 x 4 + 3)/4 = 23/4 kg
Now, let's compare the two fractions:
15/2 kg > 23/4 kg
Therefore, Mr. Kuldeep bought more rice than Mr. Rajesh.
To find out by how much, we need to subtract the smaller quantity from the larger one:
15/2 kg - 23/4 kg = (30 - 23)/4 kg = 7/4 kg
So, Mr. Kuldeep bought 7/4 kg or 1¾ kg more rice than Mr. Rajesh. In conclusion, Mr. Kuldeep bought more rice than Mr. Rajesh by 1¾ kg.
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Explain why 4 < x < 1 has no solution.
Answer:
because there is no number is greater than 4 and less than 1
An arcade sells game cards that customers can use to play the arcade games. A game card
comes stocked with credits, and each game costs 5 credits to play. Shivani was able to play
16 games before her card ran out of credits.
Graph the function that models the relationship between the number of games Shivani
played, n, and the number of credits remaining on her card, C(n).
Select points on the graph to plot them.
Answer: The function that models the relationship between the number of games played (n) and the number of credits remaining on the card (C(n)) is C(n) = 5n.
Step-by-step explanation: This function can be derived by realizing that each game costs 5 credits to play, so as the number of games played (n) increases, the number of credits remaining on the card (C(n)) decreases by 5 for each game played.
For example, if Shivani played 16 games before her card ran out of credits, we can substitute n = 16 into the function to find that C(16) = 5(16) = 80 credits. This means that her card had 80 credits on it before she started playing games.
To plot points on the graph, we can select a few different values of n and substitute them into the function to find the corresponding values of C(n). Here are a few examples:
When n = 0, C(n) = 5(0) = 0. This represents the case when Shivani has not played any games yet and has no remaining credits on her card.
When n = 8, C(n) = 5(8) = 40. This represents the case when Shivani has played 8 games and has 40 credits remaining on her card.
When n = 16, C(n) = 5(16) = 80. This represents the case when Shivani has played 16 games and her card has no remaining credits.
We can plot these points on the graph and label them (0,0), (8,40), (16,0) respectively.
Note that the y-intercept is (0,0) and the x-intercept is (16,0)
Graph:
n C(n)
0 0
8 40
16 0
The graph is a straight line starting from (0,0) and going down till (16,0) with a slope of -5.
Mike used of a cup of vinegar in his salad dressing recipe. He made 3 salad dressing recipes. Between which two whole numbers does the number of cups of vinegar that Mike used lie?
The number of cups of vinegar that Mike used lies between the whole numbers 2 and 4
If Mike used one cup of vinegar for each salad dressing recipe, then he used a total of 3 cups of vinegar (1 cup x 3 recipes = 3 cups).
However, the question states that he used "a cup of vinegar" in each recipe, which could mean that he used slightly less than one cup, exactly one cup, or slightly more than one cup.
Assuming that Mike used at least 3/4 cup of vinegar in each recipe (which is still close to "a cup"), then he used a minimum of 2 and 1/4 cups of vinegar in total (3/4 cup x 3 recipes = 2 and 1/4 cups).
Assuming that Mike used at most 1 and 1/4 cups of vinegar in each recipe (which is still close to "a cup"), then he used a maximum of 3 and 3/4 cups of vinegar in total (1 and 1/4 cups x 3 recipes = 3 and 3/4 cups).
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If a figure is a square, its diagonals divide it into isosceles triangles.
p: A figure is a square.
q: A figure's diagonals divide into isosceles triangles.
Which represents the converse of this statement? Is the converse true?
The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:
"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."
The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.
Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.
In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.
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"You want to buy a $22,000 car. The dealer offers you a 4-year loan with a 7 percent APR and no down payment required. Assuming monthly compounding, what will the monthly payments be?"
"$1,602.28 "
$526.82
$458.33
$398.48
Not possible to compute with the data provided
The monthly payments for a $22,000 car loan with a 4-year term, 7% APR, and no down payment required would be $398.48.
To calculate the monthly payments on a 4-year loan with an annual percentage rate (APR) of 7 percent and no down payment required, we can use the formula for calculating the monthly payment on an amortizing loan. The formula is:M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)
Where:M = Monthly payment
P = Principal amount (loan amount)
r = Monthly interest rate (APR divided by 12 months)
n = Total number of payments (number of years multiplied by 12 months)
In this case, the principal amount (P) is $22,000, the annual interest rate (APR) is 7 percent, and the loan term is 4 years.First, we need to convert the annual interest rate to a monthly rate by dividing it by 12:
r = 0.07 / 12 = 0.00583
Next, we calculate the total number of payments:
n = 4 * 12 = 48
Now, we can plug in the values into the formula:
M = 22,000 * (0.00583 * (1 + 0.00583)^48) / ((1 + 0.00583)^48 - 1)
Calculating this expression will give us the monthly payment.
The correct answer is $398.48.
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Determine the value for x in the equation x over 6 and 4 tenths equals 3 and 6 tenths.
Answer:
x = 23.04
Step-by-step explanation:
You want to know the value of x such that x/6.4 = 3.6.
One-step equationWe can solve this equation by multiplying by the inverse of the coefficient of x.
The coefficient of x is 1/6.4, so multiplying by 6.4 will give ...
6.4(x/6.4) = 6.4(3.6)
x = 23.04
The value for x in the equation is 23.04.
<95141404393>
the weight of bill's pack as he sets off on a backpacking trip is 48.3 lb. describe the type of variable and corresponding level of measurement (more than one answer may apply)
The weight of Bill's pack is a quantitative variable, so the weight can take on any numerical value within a certain range (in this case, likely between 0 and 100 lbs or so).
The type of variable for the weight of Bill's pack is a continuous variable, and the corresponding level of measurement is the ratio level of measurement.
Continuous variable: A continuous variable is a variable that can take on any value within a given range. In this case, the weight of Bill's pack can take on any value within a certain range (e.g., from 0 lb to 100 lb or more), making it a continuous variable.
Ratio level of measurement: The ratio level of measurement has a true zero point and allows for meaningful comparisons and calculations, such as multiplication and division. Since the weight of Bill's pack has a true zero point (0 lb) and allows for meaningful comparisons (e.g., one pack can be twice as heavy as another), it falls under the ratio level of measurement.
Hence, The weight of Bill's pack (48.3 lb) is a continuous variable, and its corresponding level of measurement is the ratio level of measurement.
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The heights, in inches, of five players on a basketball
team are 68, 70, 76, 71, and 70. What is the mean
height, in inches, of these players?
Evaluate the following as true or false
If limₓ→ₐ f(x) and limₓ→ₐ g(x) don’t exist, then lim ₓ→ₐ [f(x)+g(x)] does not exist.
The statement "If limₓ→ₐ f(x) and limₓ→ₐ g(x) don’t exist, then lim ₓ→ₐ [f(x)+g(x)] does not exist" is false.
In general, the sum of two limits exists if and only if both individual limits exist. However, the individual limits of f(x) and g(x) not existing does not guarantee that the limit of their sum does not exist.
There are cases where the limit of the sum can still exist even if the individual limits do not exist. One example is the limit of f(x) = x and g(x) = -x as x approaches 0. The individual limits do not exist at x = 0, but the limit of their sum f(x) + g(x) = x + (-x) = 0 does exist at x = 0.
For example, consider the functions f(x) = sin(1/x) and g(x) = -sin(1/x). Both f(x) and g(x) do not have a limit as x approaches 0 because they oscillate between -1 and 1 infinitely. However, if we consider the sum f(x) + g(x), the oscillations cancel each other out, and the limit of the sum as x approaches 0 is 0.
Therefore, the statement is false.
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Please help with problem 24
Answer: Domain: All real numbers
Range: y<-2, y>=0
Step-by-step explanation:
Domain: All real numbers ==> x can be less than zero and greater than or equal to zero.
Range: y<-2, y>=0
-x-2, x>0
-x-2+2, x>2
-x, x>2
x, x<-2
y, y<-2
-x, x<=0
x, x>=0
y, y>=0
Answer:
Step-by-step explanation:
Domain 5
range 2
Find the volume of the solid obtained by rotating the region bounded by the curves y=x³,y=0,x=1about the line x=2. Sketch the region, the solid, and a typical disk or washer.
Volume of the solid obtained by rotating the region bounded by the curves y=x³,y=0,x=1about the line x=2. is 4π/3
The volume of each slice is equal to the area of the base times the height.
The area of the base of the slice is equal to the area of the circle with radius 2 - x.
The height of the slice is equal to 1.
Therefore, the volume of each slice is equal to π(2 - x)^2 * 1.
To find the total volume, we need to sum the volumes of all the slices.
This can be done by using a definite integral.
The definite integral is equal to:
∫_0^1 π(2 - x)^2 dx
The integral is equal to:
π(2 - x)^3/3
The volume of the solid is equal to the value of the integral evaluated at the limits of integration.
The limits of integration are 0 and 1.
Therefore, the volume of the solid is equal to:
π(2 - 1)^3/3 = 4π/3
Therefore, the volume of the solid is 4π/3.
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what is the probability of an event occuring 4 standard deviations from the mean in a normal distribution
The probability of an event occurring 4 standard deviations from the mean in a normal distribution is extremely low. Specifically, the probability of an event occurring 4 standard deviations from the mean in a normal distribution is approximately 0.006%.
In a normal distribution, 68% of the values are within one standard deviation of the mean, 95% are within two standard deviations of the mean, and 99.7% are within three standard deviations of the mean. So, an event that is 4 standard deviations from the mean is extremely unlikely to occur.
This is because the empirical rule states that in a normal distribution, approximately 68% of observations will fall within 1 standard deviation of the mean, 95% of observations will fall within 2 standard deviations of the mean, and 99.7% of observations will fall within 3 standard deviations of the mean. Thus, the probability of an observation falling more than 3 standard deviations from the mean is very small, and the probability of it falling 4 or more standard deviations from the mean is even smaller. This demonstrates the importance of considering outliers and extreme values when analyzing data in a normal distribution.
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Find the standard form equation of the following circle in order to state the center and radius, then graph the circle
The standard form equation of the circle in order to state the center and radius, then graph the circle is: A. center (-3, -2), radius: 1.
What is the equation of a circle?In Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;
(x - h)² + (y - k)² = r²
Where:
h and k represent the coordinates at the center of a circle.r represent the radius of a circle.From the information provided above, we have the following equation of a circle:
x² + y² + 6x + 4y + 12 = 0
x² + 6x + (6/2)² + y² + 4y + (4/2)² = -12 + (4/2)² + (6/2)²
x² + 6x + 9 + y² + 4y + 4 = -12 + 4 + 9
(x + 3)² + (y + 2)² = 1
(x + 3)² + (y + 2)² = 1
Therefore, the center (h, k) is (-3, -2) and the radius is equal to 1 units.
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A line is parallel to y = -3x + 2 and
intersects the point (4, 3). What is the
equation of this parallel line?
y = [?]x + [ ]
Hint: Use the Point-Slope Form: y - y₁ = m(x -x1)
Then write the equation in slope-intercept form.
Enter
Answer:
the equation of line parallel to y=-3x+2
is y=-3x+k---(1)
Since,line(1) passes through point (4,3).
3=-3(4)+k
or,3=-12+k
or,k=3+12
:.k=15
Putting value of k in line (1), we get
y=-3x+15,which is the required eqn.
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Which is NOT true?
11 = 11
11 = 18 - 7
11 + 5 = 15 + 11
11 + 3 = 6 + 8
11 + 5 = 15 + 11
This is false
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer......
11 + 5 = 15 + 11- Is not true
Hope it helps!
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Evaluate 5-44• (-0.75) - 18 ÷ 2/3 • 0.8 + (-4/5)
Answer:
15.6.
Step-by-step explanation:
5-44• (-0.75) - 18 ÷ 2/3 • 0.8 + (-4/5)
= 5 + 33 - 27*0.8 - 0.8
= 5 + 33 -21.6 - 0.8
= 15.6.
The solution of the expression will be;
⇒ - 50.4
What is Mathematical expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 5 - 44• (-0.75) - 18 ÷ 2/3 • 0.8 + (-4/5)
Now,
Solve the expression as;
⇒ 5 - 44 • (-0.75) - 18 ÷ 2/3 • 0.8 + (-4/5)
⇒ 5 - 44 • (-0.75) - 18 × 3/2 • 0.8 + (-4/5)
⇒ 5 - 44• (-0.75) - 27 • 0.8 + (-4/5)
⇒ 5 - 33 - 21.6 - 0.8
⇒ - 50.4
Thus, The solution of the expression will be;
⇒ - 50.4
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if a polynomial function is in factored form, what would be a good first step in order to determine the degree of the function?
To determine the degree of a polynomial function given in factored form, a good first step is to count the highest power of the variable in the factored expression.
In factored form, a polynomial function is expressed as the product of linear factors or irreducible quadratic factors.
Each factor represents a root or zero of the function.
The degree of a polynomial is determined by the highest power of the variable in the expression.
To find the degree of the function, examine each factor in the factored form.
For linear factors, the degree is 1 since the highest power of the variable is 1.
For irreducible quadratic factors, the degree is 2 since the highest power of the variable is 2.
By observing the highest power in the factored expression, you can determine the degree of the polynomial function.
If the highest power is 1, the polynomial has a degree of 1 (linear function). If the highest power is 2, the polynomial has a degree of 2 (quadratic function). And so on.
It's important to note that the degree of a polynomial corresponds to the highest power of the variable in the expression and not the number of factors.
The number of factors indicates the number of roots or zeros of the polynomial, but it doesn't determine the degree.
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z is a standard normal random variable. What is the value of if the area between and is 0.754?
a. 0.377
b. 0.123
c. 2.16
d. 1.16
Let Z be a standard normal random variable. We want to determine the value of z if the area between –z and z is 0.754.Step 1: Sketch a standard normal curveThe standard normal curve is a normal curve with a mean of 0 and a standard deviation of 1.
The total area under the standard normal curve is equal to 1.Step 2: Shade the area under the curveWe want to shade the area between –z and z. We do not know the value of z, but we know that the area between –z and z is 0.754. Therefore, the area to the right of z is (1 – 0.754)/2 = 0.123 and the area to the left of –z is also 0.123.Step 3: Look up the z-scoreUsing a z-score table, we find that the area to the right of z is 0.123. The closest value to 0.123 in the table is 0.1226, which corresponds to a z-score of 1.16. Therefore, the value of z is 1.16.Answer: d. 1.16
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please please help me
Answer:
a) 22, b) i. 5/11, ii. 5/11, iii. 7/11
Step-by-step explanation:
a) 3+6+3+5+4+1 = 22 total number of students
b)
i. Number of girl/total number of students= 10/22 = 5/11
ii. blond hair/total number of students = 10/22 = 5/11
iii.
Number of girl/total number of students= 10/22 = 5/11
red hair/total number of students = 4/22 = 2/11
P(a girl or red hair) = 5/11 + 2/11 = 7/11
the time it takes me to wash the dishes is uniformly distributed between 5 minutes and 11 minutes. what is the probability that washing dishes tonight will take me between 9 and 10 minutes?
The probability that washing dishes tonight will take you between 9 and 10 minutes is 1/6.
The uniform distribution can be used to calculate the probability that the time it takes you to wash the dishes will be between 9 and 10 minutes:
The cumulative distribution function (CDF) of a uniform distribution between a and b can be determined as follows:
F(x) = (x-a) / (b-a) for a <= x <= b
F(x) = 0 for x < a
F(x) = 1 for x > b
So, for the time it takes you to wash the dishes, the CDF is:
F(x) = (x-5) / (11-5) for 5 <= x <= 11
F(x) = 0 for x < 5
F(x) = 1 for x > 11
The probability that washing dishes tonight will take you between 9 and 10 minutes can be calculated as the difference between the CDF evaluated at 10 and the CDF evaluated at 9:
P (9 <= x <= 10) = F (10) - F (9)
= (10-5)/ (11-5) - (9-5)/ (11-5)
= (5/6) - (4/6)
= 1/6
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What is the area of the rectangle whose length is 19 and the width is 31
Answer:
589
Step-by-step explanation:
to find the area of a rectangle it is length x width
19 is your length
31 is your width
19 x 31 = 589
be sure that in your final answer you put in your units (e.g.\(cm^{2}\) )
hoped this helped xx
HEB wants to have big cement spheres to be placed
outside all their stores. The spheres should be 3.6 feet
in diameter. What would be the volume of one sphere?
Round to the nearest tenth.
The volume of one sphere with a diameter of 3.6 feet is approximately 70.7 cubic feet.
Cement Sphere Volume CalculationThe volume of a sphere can be calculated using the formula:V = (4/3) * pi * r³
Where r is the radius of the sphere. The diameter of the sphere is 3.6 feet, so the radius can be found by dividing the diameter by 2:r = 3.6 feet / 2 = 1.8 feet
Now we can plug in the values into the formula:V = (4/3) * pi * (1.8 feet)³
Converting the units to cubic feet:V = (4/3) * pi * (1.8³) cubic feet
Calculating the numerical value:V = (4/3) * pi * (53.41) cubic feet
V ≈ 70.67 cubic feet
Rounding to the nearest tenth:V ≈ 70.7 cubic feet
So, the volume of one sphere with a diameter of 3.6 feet is approximately 70.7 cubic feet.Learn more about Cement Sphere Volume Calculation here:
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The price of gasoline drops from $1.00 per
gallon to 95° per gallon. What is the percent of
decrease?
Matthew was assigned 234 math problems over the weekend. He completed five times as many problems on Saturday than Sunday. How many math problems did Matthew solve on Saturday?
Answer:
\(195\)
Step-by-step explanation:
Let \(a\) represent the number of math problems Matthew solved on Sunday. From the problem, we know he solved \(5a\) problems on Saturday.
Therefore, we have:
\(5a+a=234,\\6a=234,\\a=39\)
Substitute \(a=39\) into \(5a\):
\(5(39)=\boxed{195}\)
An object moves in the xy-plane so that its position at any time tis given by the parametric equations x(t) = t° - 3t + 2 and y (t) = /t² + 16. What is the rate of change of y with respect to x when t = 3 ? A 1/90 B 1/15 3/5 D 5/2
The rate of change of y with respect to x when t = 3 is = 3/25 and the answer is not one of the options given.
How to determine of rate of change y with respect to x?An object moves in the xy-plane so that its position at any time tis given by the parametric equations x(t) = t° - 3t + 2 and y (t) = /t² + 16.
To find the rate of change of y with respect to x, we need to find dy/dx, which can be computed using the chain rule of differentiation:
(dy/dt) / (dx/dt) = dy/dx
We first compute dx/dt and dy/dt:
dx/dt = 1 - 3 = -2
dy/dt = 2t / (t² + 16)
When t = 3, we have:
dx/dt = -2
dy/dt = 2(3) / (3² + 16) = 6/25
Therefore, the rate of change of y with respect to x when t = 3 is:
(dy/dt) / (dx/dt) = (6/25) / (-2) = -3/25
So, the answer is not one of the options given.
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PLEASE HELP HURRY PLEASE‼️‼️‼️‼️‼️‼️‼️‼️‼️
Question 25 of 25
Which of the following values are in the range of the function graphed below?
Check all that apply.
10
10
10
-10
Answer:
I think thé answer is C 0 contadict me if it is dring please
Option D is correct, 6 is the value of the range in the given graph.
What is a function?A relation is a function if it has only One y-value for each x-value.
We have to find the values are in the range of the function graphed below
The domain of the given graph is -2≤x≤4
What can go into a function is called the Domain.
What may possibly come out of a function is called the Codomain.
What actually comes out of a function is called the Range.
The range of the given graph is y values.
The y value is 6
Hence, 6 is the value of the range in the given graph.
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can I get some help;
Answer:
I was never good at this in math...
Answer:
X = 30
Y = 14
Step-by-step explanation:
x/20 = 18/12
multiply both sides by 20
x = 18/12 x 20 = 30
y/21 = 12/18
multiply both sides by 21
y = 12/18 x 21 = 14