As described in Analytical Geometry the relationship between quantities of a qualitative graph are explained below.
What is Analytical Geometry?
The area of algebra known as analytical geometry uses an ordered pair of numbers known as coordinates to determine the position of a point on a plane. It is utilised to model many plane objects, including points, lines, and others. The terms Coordinate geometry and Cartesian geometry are both used to refer to analytical geometry.
Cluster Use functions to model relationships between quantities. Standard Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear).
A linear relationship between two quantities will produce a graph of a straight line. The line represents every possible solution for the range of the function. In order to create the line, we use the function equation and evaluate the range, or output, values based upon several of the domain, or input, values.
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the number of times a variable appears in a data set is called _____
Answer:
The number of times a variable appears in a date set is called a constant.
if you can guess my middle name will mark Brainlyest.
hint one: named after a British toffee
hint two: it starts with a h
Answer:
Heath
I think
Step-by-step explanation:
Answer:
is it Heath?
Hope it helps!!!
write the equation of a circle given the center and radius. write the equation of a circle whose center is (4, -5) and which has a radius of 3.
The equation of a circle can be written as\((x - h)^2 + (y - k)^2 = r^2,\)where (h, k) is the center of the circle and r is the radius.
Circle's basic equation is represented by:
\((x-h)^2 + (y-k)^2 = r^2\)
where the radius is r and the circle's center's coordinates are (h,k).
Let's first consider what a circle is before determining its equation. A circle is a collection of all points in a plane that is uniformly distanced from a fixed point. The fixed point is referred to as the circle's center. The radius of a circle is the separation between the center and any point along its circumference. In this post, we'll go over what a circle equation in standard form is and how to calculate a circle's equation when the origin serves as its center.
Therefore, the equation of a circle whose center is (4, -5) and which has a radius of 3 is:
\((x - 4)^2 + (y + 5)^2 = 3^2\)
Simplifying and expanding the equation gives:
\((x - 4)^2 + (y + 5)^2 = 9\)
And that is the equation of the circle.
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Which of the following is an exampio of operant condiconing?
When dogs salivate to the sound of a bell
When a dog comes funning to the sound of the can opener opening a can of tornatoes
When a dog gors into heat in the spring.
when a dog learns to roll over toy being rewarded for the behavior.
Operant conditioning is the theory that behavior is influenced by consequences. Behaviorists believe that behavior is shaped through reward and punishment, so a behavior that is followed by a favorable outcome is likely to be repeated while a behavior that is followed by an unfavorable outcome is less likely to be repeated.
The example of operant conditioning among the given options is: when a dog learns to roll over toy being rewarded for the behavior.
Operant conditioning, a concept developed by B.F Skinner, consists of three elements: the antecedent (the stimulus that comes before the behavior), the behavior, and the consequence.
In the example given in the question, the antecedent is the dog being taught to roll over, the behavior is the dog rolling over, and the consequence is being rewarded with a toy.
When a dog learns to roll over toy being rewarded for the behavior is an example of operant conditioning.
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NEED HELP with these two pages please help me (30 points)
Answer:
1. B
2. E
3. D
4. B
5. C
6. B
7. E
8. D
9. D
10.D
11. E
Consider the following augmented matrix of a system of linear equations, where a is any number: [1 0 0 5 0 0 0 1 a 1 2 6]. Which of the following statements is true? (a) The system has a unique solution when a = 3. (b) The system has no solution when a = 3. (c) The system has infinitely many solutions when a = 3. (d) The system has infinitely many solutions when a notequalto 3. (e) None of the above.
The answer is (b) The system has no solution when a = 3.
We can use row reduction to determine the solution(s) of the system of linear equations for any value of a. The augmented matrix is:
\begin{bmatrix}
1 & 0 & 0 & 5 \
0 & 0 & 0 & 1 \
a & 1 & 2 & 6
\end{bmatrix}
First, we can use row operations to put the matrix in row echelon form:
\begin{bmatrix}
1 & 0 & 0 & 5 \
0 & 1 & 2 & 6-a \
0 & 0 & 0 & 1
\end{bmatrix}
Now we can see that the system has a unique solution if and only if the third row corresponds to the equation 0x + 0y + 0z = 1, which is never true, so we can conclude that the system has no solution when a is any number. Therefore, the answer is (b) The system has no solution when a = 3.
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1.Find the next three terms in the sequence. -2 , -5 , -8, -11 , ...
2. Find the 100th term.
Please show the working.
The human resources department of the Mean Corporation would like to estimate the size of the annual salary that they should offer to university graduates. The CEO of the Mean Corporation has suggested that the salary offered (W) should be calculated based on the Grade Point Average (G) of a student. Based on a random sample of university graduates, the human resources department has calculated the mean salary offered to university graduates to be /W and the mean Grade Point Average of university graduates to be /G. The Mean Corporation will carry out a regression analysis to investigate the relationship between salary and Grade Point Average.
Write down the independent variable in the regression analysis that will be conducted.
The independent variable in the regression analysis that will be conducted is the Grade Point Average (G) of university graduates.
It is considered the independent variable because it is the predictor or explanatory variable that is believed to have an effect on the dependent variable, which is the salary offered (W). The regression analysis will help to estimate the relationship between the two variables and provide a mathematical equation that can be used to predict the expected salary for a given Grade Point Average.
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A tv show had 3.6 x 104 viewers in the first week and 4.1 x 104 viewers in the second week. determine the average number of viewers over the two weeks and write the final answer in scientific notation. 3.85 x 104 7.7 x 104 3.85 x 108 7.7 x 108
The average number of viewers over the two weeks written in scientific notation is 3.85 × 10^8. option C
Scientific notationFirst week = 3.6 x 10⁴Second week = 4.1 x 10⁴Average number of viewers over the two weeks = (First week + Second week) / 2
= {(3.6 x 10⁴) + (4.1 x 10⁴)} / 2
= {3.6 + 4.1 × 10^(4×4) } / 2
= (7.7 × 10^16) / 2
= 3.85 × 10^8
Therefore, the average number of viewers over the two weeks written in scientific notation is 3.85 × 10^8.
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Which expression can be used to determine the volume of water in a rain barrel after d days if there were 198. 6 gallons of water in the barrel and 12. 2 gallons are used each day
What calculation will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters?
Answer:
The complete question can be found online.
The missing information is:
Carson drove a total distance of 120km, he initially has 30L of fuel on his tank, and his car efficiency is 100 cm^3/km
Remember that 1000cm^3 = 1 L
then:
100cm^3 = 0.1L
This means that he uses 0.1 L per kilometer.
The equation that shows how many liters of fuel he will have is:
initial fuel - consumed fuel.
We know that the initial fuel is 30 liters.
And the consumed fuel will be the amount of fuel he used to drive the 120 km
Remember that for each km, he consumes 0.1 L of fuel.
Then for the 120km he used 120 times 0.1 L of fuel, so he used a total of:
120*0.1 = 12 L of fuel
Then the remaining fuel in the tank is:
30 L - 12 L = 18L
There are 18 L of fuel in the tank.
Answer:
Should be 30-100/1000*120
Step-by-step explanation:
the original price of a pair of sunglasses is AED 149 The sale price is AED 110 Calculate the amount of the discount
Answer:
Discount= original price-sale price
Step-by-step explanation:
Hence D = AED149-AED110
D= AED 39
Which expression is equivalent to the square root of -108 - square root of -3
Answer:
5i√3
Step-by-step explanation:
You will have to use imaginary numbers i for negative square roots.
Answer:
\(5\sqrt{3}i\)
Step-by-step explanation:
\(\sqrt{-108} -\sqrt{-3}\)
\(\sqrt{-1}\sqrt{108}-\sqrt{-1}\sqrt{3}\)
\(\sqrt{108}i-\sqrt{3} i\)
\(\sqrt{36 \times 3}i-\sqrt{3}i\)
\(\sqrt{36} \sqrt{3} i-\sqrt{3} i\)
\(6\sqrt{3}i-\sqrt{3}i\)
\(=5\sqrt{3}i\)
All three meanings of fractions involve the idea of partitioning. true or false
True, all three parts of a whole, parts of a set, and division meanings of fractions involve the idea of partitioning.
Partitioning is a method of splitting numbers into smaller parts to make work easy. An example of Partitioning is when the child is taught to recognize that the number 54 represents 5 tens and 4 ones, which shows how the number can be partitioned into 50 and 4.
A fraction is defined as a part of the whole thing in mathematics, for example, when we say "1/2 of the pizza", we are partitioning the whole pizza into two equal parts and taking one of those parts. Types of Fractions are Proper Fractions, Improper Fractions, Mixed fractions, Like fractions, Unlike fractions, and Equivalent fractions
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a claim that two situations are similar, based on minor similarities between two cases when there are major differences being ignored is a _____.
The claim that two situations are similar, despite major differences being ignored and only minor similarities being emphasized, is a fallacy known as false analogy.
False analogy is a logical fallacy that occurs when two situations are compared based on minor similarities while ignoring significant differences. It involves drawing an invalid or weak comparison between two unrelated or dissimilar things. In this fallacy, the person making the claim assumes that because two situations share some superficial similarities, they must be similar in all aspects. However, this overlooks the fundamental differences that make the situations distinct.
For example, if someone argues that banning the use of plastic bags in a city is similar to banning the use of cars, based solely on the fact that both involve restricting a common item, they would be committing a false analogy. While there may be minor similarities between the two situations, such as the concept of imposing restrictions, there are major differences in terms of environmental impact, necessity, and alternatives. Ignoring these significant differences leads to an invalid comparison and can result in flawed reasoning.
In conclusion, false analogy occurs when two situations are deemed similar based on minor similarities while disregarding major differences. It is essential to carefully evaluate the relevant factors and understand the nuances of each situation before drawing comparisons to ensure logical and valid arguments.
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Which equation shows y=3x−15 in standard form?
15x+y=-1
15x-5=1
5x-15y=1
5x-15y=-1
Answer:
the correct answer would be I think 5x-15y=1
Step-by-step explanation:
I have already learned that
Answer:
it's 5x - 15y = 1
Step-by-step explanation:
Hope this helped have a wonderful day!!! :)
Jaime needs to buy a new refrigerator for his apartment. He found what he needed for
$1,300 at a well-known appliance store. The store is offering two options for Jaime to
finance the appliance:
Option: A store credit card with a $1,500 limit:
1) The credit card charges 16.5% annual interest rate
2) The minimum monthly payment is $100 plus the monthly
finance charge
3) No down payment required
4) The loan is expected to be paid off in 12 months to avoid
additional penalties
Option II: The appliance store offers an installment loan for his purchase:
Loan charges a simple interest rate of 12,5%
2) Loan must be paid off in 12 equal payments to avoid penalties
A $300 down payment is required
A Which Option should Jaime choose if he wants the interest he pays to be as
small as possible?
The second option should be chosen as it depicts the amount with the lowest interest.
How to calculate the interestFor option 1, the annual interest will be:
= $1300 × 16.5% = $214.50
The monthly finance charge will be:
= $1300 × (0.165/12)
= $17.88
The minimum monthly payment for the first month will be:
= $100 + $17.88 = $117.88
Hence, the total amount paid will be:
= ($117.88 × 12) + $214.50
= $1629.06
For option 2, the simple interest will be:
= (1300 × 12.5%)
= $162.50
The amount that will be paid monthly will be:
= $1000/12
= $83.33.
In this case, the total amount paid will be:
= $162.50 + $1300
= $1462.50
Therefore, the second option is better as it's cheaper.
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Match these items. 1. insects, birds epidermis 2. moss, trees monerans 3. yeast, molds reproductive parts 4. protozoa, red algae kingdoms 5. bacteria, blue-green algae plants 6. five main groups of all living things vegetative parts 7. the study of plants fungi 8. flowers, fruits, and seeds protists 9. roots, stems, and leaves botany 10. provides plant cover on leaves and roots animals
Answer:
1. Animals.
2. Plants.
3. Fungi
4. Protists.
5. Monerans.
6. Kingdom.
7. Botany.
8. Reproductive parts.
9. Vegetative parts.
10. Epidermis.
Step-by-step explanation:
1. Insects, birds: Animals. All insects and birds are living organisms generally referred to as animals.
2. Moss, trees: Plants. Moss and trees are living organisms generally referred to as plants.
3. Yeast, molds: Fungi. They belong to a kingdom of multi-cellular eukaryotic organisms which can't make or produce their own food (heterotrophs).
4. Protozoa, red algae: Protists. They belong to a kingdom of single-celled (unicellular) eukaryotic microscopic organisms.
5. Bacteria, blue-green algae: Monerans. They belong to a kingdom of single-celled (unicellular) prokaryotic organisms without a nuclear cell membrane.
6. Five main groups of all living things: Kingdom. These are namely Kingdom Animalia, Kingdom Fungi, Kingdom Plantae, Kingdom Monera and Kingdom Protista
7. The study of plants: Botany.
8. Flowers, fruits, and seeds: Reproductive parts.
9. Roots, stems, and leaves: Vegetative parts.
10. Provides plant cover on leaves and roots: Epidermis.
Help pls , it would be nice if you help me
Answer:
1. Negative slope
2. Undefined slope
3. Positive slope
4. A vertical line has a undefined slope
5. Negative slope
Step-by-step explanation:
I am not going to give any reasons because that would take too long but I hope this helped. Also I do not know the answer for numbers 6-9, sorry.
Question 2 options:
Multiply the radicals.
What is the product in simplest form?
The product in simplest form is \(-250\sqrt[3]{50}\) .
In the question,
It is given that,
\(5*\sqrt[3]{5} * (-10\sqrt[3]{50})\)
By radical laws, \(\sqrt{a} * \sqrt{b} = \sqrt{ab}\)
So,
The given question becomes:
\(-50*\sqrt[3]{50*5} = -50*\sqrt[3]{250} = -250\sqrt[3]{5} }\)
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Identify the side lengths of the following triangle.
The side lengths of the triangle are CA = 42.0 and BC = 36.4
Identifying the side lengths of the triangle.From the question, we have the following parameters that can be used in our computation:
The triangle
Using the tangent rratio, we have
tan(60) = BC/21
So, we have
BC = 21 * tan(60)
Evaluate
BC = 36.4
Next, we have
CA = √[36.4^2 + 21^2] -- pythagoras theorem
Evaluate
CA = 42.0
Hence, the side lengths are CA = 42.0 and BC = 36.4
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In a simple linear regression model, if all of the data points fall on the sample regression line, then the standard error of the estimate is
In a simple linear regression model, the standard error of the estimate (also known as the standard deviation of the residuals) measures the variability or scatter of the observed data points around the sample regression line.
It is an important measure of the accuracy of the regression model and helps us to estimate the uncertainty in making predictions.
If all of the data points fall exactly on the sample regression line, then the residuals (i.e., the differences between the observed values and the predicted values) will be zero for each data point. This means that there is no variability or scatter in the data points around the regression line, and hence the standard error of the estimate will also be zero.
However, this scenario is highly unlikely in real-world situations, as there will always be some random error or measurement noise that affects the observed data points. Therefore, it is important to interpret the standard error of the estimate in the context of the data and the regression model. A smaller standard error of the estimate indicates a better fit of the regression line to the data, whereas a larger standard error of the estimate indicates more variability or scatter in the data points around the regression line.
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points a (-2,5) and b (1,-8) are placed in two different quadrants of a cartesian coordinate system. convert each set of cartesian coordinates to polar coordinates. the angle should be reported as a positive angle, in degrees, from the positive x-axis. (0° < θ < 360°)
The polar coordinates for point A (-2, 5) are
\((r, \theta) = (\sqrt{2^2 + 5^2}, \tan^{-1}\left(\frac{5}{-2}\right)) \\\\\approx (5.39, 112.62^\circ).\)
The polar coordinates for point B (1, -8) are
\((r, \theta) = (\sqrt{1^2 + (-8)^2}, \tan^{-1}\left(\frac{-8}{1}\right)) \\\\\approx (8.06, -81.87^\circ).\)
To convert cartesian coordinates to polar coordinates, we need to determine the distance from the origin (r) and the angle (θ) the point makes with the positive x-axis.
For point A (-2, 5):
1. Calculate the distance from the origin using the distance formula:
\(r = \sqrt{(-2)^2 + 5^2} \\\\= \sqrt{4 + 25} \\\\= \sqrt{29} \\\\\approx 5.39.\)
2. Calculate the angle θ using the arctangent function:
\(\theta = \tan^{-1}\left(\frac{5}{-2}\right) \\\\\approx 112.62^\circ.\)
For point B (1, -8):
1. Calculate the distance from the origin:
\(r = \sqrt{1^2 + (-8)^2} \\\\= \sqrt{1 + 64} \\\\= \sqrt{65} \\\\\approx 8.06."\)
2. Calculate the angle θ:
\(\theta = \tan^{-1}\left(\frac{-8}{1}\right) \\\\\approx -81.87^\circ.\)
Since the point is in a different quadrant, we report the angle as negative. To convert it to a positive angle, we can add 360°:
\(-81.87^\circ + 360^\circ \approx 278.13^\circ.\)
Thus, the polar coordinates for point A are approximately (5.39, 112.62°) and for point B are approximately (8.06, 278.13°).
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Any u linearly independent vectors From Py will definitely form a basis for the vector space P4 True False
The statement "Any u linearly independent vectors from Py will definitely form a basis for the vector space P4" is false.
To understand why this statement is false, we need to first understand what a basis is. A basis for a vector space is a set of vectors that are linearly independent and span the entire vector space. In other words, any vector in the vector space can be expressed as a linear combination of the basis vectors, and no basis vector can be expressed as a linear combination of the other basis vectors.
Now let's consider the vector space P4, which consists of all polynomials of degree 4 or less. Suppose we have a set of u linearly independent vectors from Py, where Py is a subset of P4. It is possible that these vectors do not span the entire vector space P4. In other words, there may be some polynomials in P4 that cannot be expressed as a linear combination of the u vectors. If this is the case, then the u vectors do not form a basis for P4.
To illustrate this, consider the following example. Let Py = {1, x, x^2} be a subset of P4. We can see that these three vectors are linearly independent, since there is no non-zero linear combination of them that equals the zero polynomial. However, they do not span the entire vector space P4, since there are polynomials of degree 3 or less that cannot be expressed as a linear combination of 1, x, and x^2. For example, the polynomial p(x) = x^3 cannot be expressed as a linear combination of 1, x, and x^2. Therefore, 1, x, and x^2 do not form a basis for P4.
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Write the coordinates of the vertices after a dilation with a scale factor of 1/5, centered at the origin.C (10, 15)C' (___,___)
We have a point C that is dilated with a scale factor of 1/5 centered in the origin.
A dilation centered in the origin with scale factor of 1/5 is:
\((x,y)\longrightarrow(\frac{1}{5}x,\frac{1}{5}y)\)For C=(10,15), we have:
\(C=(10,15)\longrightarrow C^{\prime}=(\frac{1}{5}\cdot10,\frac{1}{5}\cdot15)=(2,3)\)Answer: C' = (2, 3)
Please help hurry!!
Answer:
-4, quick maths, nahh they all /4
Step-by-step explanation:
Question 1 of 10
Which of the following is the converse of the statement "If it is snowing, then
it is my birthday"?
A. If it is my birthday, then it is not snowing.
B. If it is not my birthday, then it is snowing.
C. If it is not my birthday, then it is not snowing.
D. If it is my birthday, then it is snowing.
SUBT
Answer:
The converse of the statement "If it is snowing, then it is my birthday" is "If it is my birthday, then it is snowing." Therefore, the correct answer is D.
¡cuantas unidades se deben producir para que el costo sea el más bajo posible?
\(c(x)=800-10x+0.25x^{2}\)
Rectangle abcd is similar to rectangle pqrs.given that ab=14cm,BC=8cm and pq=21 cm calculate the length of qr
Answer:
12cm
Step-by-step explanation:
similar rectangles means ab/bc = pq/qr
14/8 = 21/x
7/4 = 21/x
x = 21×4/7 = 12cm
James is framing a rectangular print for art class and needs to know the perimeter. The length of the print is 24 inches and the width is 18 inches. What is the perimeter in inches of the print?
Answer:
84
Step-by-step explanation:
Given,
Length of the print(l) = 24 inches
Width of the print(b) = 18 inches
Perimeter of the print(P)= ?
We know,
Perimeter of the print(P) = 2(l + b)
= 2(24 + 18)
= 2(42)
=84 inches^2