The function f(x) = 1/x is not defined for x = 0, so it cannot be considered as a function from R to R. Similarly, the function f(x) = √x is not defined for x < 0, as the square root of a negative number is not a real number. Therefore, f(x) = √x is also not a function from R to R.
What is a real number?
A real number is a number that can be expressed as a decimal or a fraction, including integers, rational numbers (fractions), and irrational numbers (such as √2 or π). Real numbers can be plotted on the number line and have properties like addition, subtraction, multiplication, and division.
In the case of f(x) = 1/x, the issue arises because division by zero is undefined in mathematics. As x approaches 0 from the positive side, the function approaches positive infinity, and as x approaches 0 from the negative side, the function approaches negative infinity. This discontinuity at x = 0 makes it impossible to define a unique output value for f(0), which is necessary for a function.
For f(x) = √x, the square root function is only defined for non-negative values of x. Taking the square root of a negative number would require introducing complex numbers, but in this case, we are dealing with a real function. Hence, f(x) = √x is not defined for x < 0 and cannot be considered as a function from R to R.
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day 2 on still being stuck on this... this is due on Friday lol so please help 3
Answer:
It's 17
Step-by-step explanation:
1. 15 squared is 225
2. 8 squared is 64
3. 225+64=289
4. find the square root of 289
5. 17 is because when you square 17, you get 289.
P.S mark ar brainliest, rate 5 stars and hit that thanks button.
Compare the following models based on goodness of fit: Model A: y=α1+α2lnx2+uRA2=0.75 Adjusted- RA2=0.74 Model B: In y=β1+β2x2+β3x3+vRB2=0.74 Adjusted- RB2=0.73 Model C: lny=δ1+δˉ2x2+δ3x3+δ4lnx1+eRB22=0.78 Adjusted-R R2=0.72 Model D: y=ν1+y4x4+wRD2=0.76 Adjusted- RD2=0.75 a. B>C & D>A; and other combinations cannot be compared b. C>B & D>A; and other combinations cannot be compared c. C>D>A>B d. D>A>B>C The variables in our dataset include the college grade point average (colGPA), high school GPA (hsGPA), and achievement test score (ACT) for a sample of 141 students from a large university; both college and high school GPAs are on a four-point scale. We estimate the following model by OLS: colGPA =β1+β2 hsGPA+ β2ACT+ω1 and obtain the following parameter estimates β1=0,6,β1=0.35, and β2=0.032. Predict the college GPA of a student with high school GPA of 3.3 and ACT score of 31.
The predicted college GPA for a student with a high school GPA of 3.3 and an ACT score of 31 is approximately 2.747 on a four-point scale.
To compare the models based on goodness of fit, we need to look at the adjusted R-squared values. The adjusted R-squared adjusts for the number of predictors in the model and provides a measure of how well the model fits the data while considering the degrees of freedom.
Comparing the models:
Model A: Adjusted R-squared = 0.74
Model B: Adjusted R-squared = 0.73
Model C: Adjusted R-squared = 0.72
Model D: Adjusted R-squared = 0.75
Based on the adjusted R-squared values, we can see that Model D has the highest value (0.75), indicating the best goodness of fit among the four models. Model A has the second-highest value (0.74), followed by Model B (0.73), and Model C (0.72).
Therefore, the correct answer is:
d. D>A>B>C
Now, let's move on to the second part of your question regarding predicting the college GPA of a student.
The estimated model is:
colGPA = β1 + β2 hsGPA + β3 ACT + ω1
Given:
β1 = 0.6
β2 = 0.35
β3 = 0.032
hsGPA = 3.3
ACT = 31
To predict the college GPA of a student, we substitute the values into the equation:
colGPA = 0.6 + (0.35 * 3.3) + (0.032 * 31)
= 0.6 + 1.155 + 0.992
= 2.747
Therefore, the predicted college GPA for a student with a high school GPA of 3.3 and an ACT score of 31 is approximately 2.747 on a four-point scale.
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171 is 0.9% of?
Please help C:
Answer:30$
Step-by-step explanation:
You make it
Answer:
186.39
Step-by-step explanation:
171 is 0.9% of.
You need to multiply 171 * 1.09
171 * 1.09 = 186.39
171 is 0.9% of 186.39
Evaluate the expression when x = 4.5 and y = 5.2.
2x + 5y

Answer:
35
Step-by-step explanation:
2x = 2 times 4.5
= 9
5y = 5 times 5.2
= 26
2x + 5y is 9 + 26
= 35
35
Steps
2x + 5y
x = 4.5
y = 5.2
a. Substitute
2(4.5) + 5(5.2)
b. Multiply
9 + 26
c. Add
35
Therefore, the answer is 35.
Pleease help me its due TONIGHT!!!!!!!
The value of angle x of the given right angle triangle using trigonometric ratios is: x = 34.6°
How to use trigonometric ratios?The three main trigonometric ratios are expressed as:
sin x = opposite/hypotenuse
cos x = adjacent/hypotenuse
tan x = opposite/adjacent
Thus, we can find the angle x using trigonometric ratios.
8/14 = sin x
sin x = 0.5714
x = sin⁻¹0.5714
x = 34.6°
The value of angle x of the given right angle triangle using trigonometric ratios is: x = 34.6°
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I need help it's due tonight at 11:59 1. A home improvement store advertises 60 square feet of flooring for $287 including an $80 installation fee. How much does each square foot of flooring cost?
Variable:
Equation:
Solution:
2. Five sisters each bought matching scarves and 2 pairs of socks. The scarves were priced at $12. If the total bill for all 5 sisters was $125, what was the price of one pair of socks?
Variable:
Equation:
Solution:
3. Felix joins the YMCA. They charge Felix a $20 annual fee, plus an additional $15 per month. Felix prepays by writing a check for $185. For how many months did Felix prepay?
Variable:
Equation:
Solution:
Answer:
Step-by-step explanation:
1.
(im gonna use x as a variable for all of these problems)
first to find how much each square foot costs subtract 80 from the total first
287 - 80 = 207
then divide $207 between 60 square feet
207 / 60 = $3.45
so each square foot is $3.45
our equation to find the cost would be
y = 3.45x + 80
2.
first lets find out how much the scarves are
5 x 12 = $60
then subtract that from the total
125 - 60 = $65
for 5 sister to each have 2 pairs of socks that means theres 10 pairs of socks
divide ypur rmaining money by the 10 pairs
65 / 10 = $6.50
so each pair of socks is $6.50
3.
first lets make an equation for the ymca costs
y = 15x + 20
then plug in 185 for y
185 = 15x + 20
solve for x
165 = 15x
11 = x
hes prepaid for 11 months
hope this helps <3
Please help me Im really about to cryyyy also can some help me with other questions
Answer:
x = 25
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse x is equal to the sum of the squares on the other two sides, that is
x² = 20² + 15² = 400 + 225 = 625 ( take the square root of both sides )
x = \(\sqrt{625}\) = 25
Answer:
25
Step-by-step explanation:
x= √20²+15²= √625= 25
What is the solution for the following system of equations?
X=-y
x+x+2y=6
A. (-2,2)
B. (2,-2)
C. (6,-6)
D. (-6,6)
Answer:
No solution
Step-by-step explanation:
x = -y
2x + 2y = 6
2(-y) + 2y = 6
0 = 6
simplify 16/18+(-16)/27 answer immediately
\(\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}\)
8/27see this attachment ☝☝
Answer:
8/27
Step-by-step explanation:
Step 1: G_ _ gle
Answer: 8/27
The figure shows a trapezium ABCD where AB=35.5cm, BC= 18cm, CD- 20 cm and AD= 16 cm. If CE= 15 cm, find
(a) the area,
(b) the perimeter,
of the trapezium
a) The area οf the trapezium is apprοximately 792.37 cm²
b) There is nο real value οf DE that satisfies the equatiοn, and we cannοt find the perimeter οf the trapezium.
What is area and perimeter?Trapezium area equals 12 x (a + b) x h. Trapezium perimeter = a + b + c + d. where the lengths οf a trapezium's sides are a, b, c, and d. Mοreοver, h is the separatiοn between a and b, the twο parallel sides.
(a) To find the area of a trapezium, we use the formula:
A = (a + b)h/2
The perpendicular distance between them is the height of the trapezium, which we can find by using the Pythagorean theorem on the right triangle ADE:
\(AD^2 + DE^2 = AE^2\\\\16^2 + 15^2 = AE^2\\\\AE =\sqrt{(256 + 225)}\\\\ = \sqrt{(481)}\\\\ = 21.93 cm\)
Sο, the height οf the trapezium is h = AE = sqrt(481) ≈ 21.93 cm.
Nοw we can plug in the values fοr a, b, and h in the fοrmula fοr the area:
A = (35.5 + 20) * 21.93 / 2
= 792.365
≈ 792.37 cm²
Therefοre, the area οf the trapezium is apprοximately 792.37 cm².
(b) Tο find the perimeter οf the trapezium, we simply add up the lengths οf all the sides:
Perimeter = AB + BC + CD + AD + CE + DE
Substituting the given values, we get:
Perimeter = 35.5 + 18 + 20 + 16 + 15 + DE
\(CD^2 + DE^2 = CE^2\\\\20^2 + DE^2 = 15^2\\\\DE^2 = 225 - 400 = -175\)
Therefore, there is no real value of DE that satisfies the equation, and we cannot find the perimeter of the trapezium.
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Help 10 points 30 minutes to answer
Answer:
The first answer choice.
Answer choice A.
Step-by-step explanation:
The domain of a function would be the set of all possible x-values of that function.
Since we are looking for the domain, the set of the possible x-values, we can eliminate any answer choices that are a set of y-values. B and D are eliminated.
From what we can see in the table, the possible x-values of the function are -6, -1, 0 and 3. Although C does include these values in the set, it also includes many other values. As we can see, answer choice A includes the x-values given in the table and only those values. Therefore, answer choice A is the correct answer.
I hope you find my answer and explanation helpful. Happy studying.
y varies jointly as x and z. y = 36 when x= 3 and z=3. Find y when x=5 and z=2.y=
Where k is a constant
When y = 36 , x = 3 , z=3
\(\begin{gathered} k\text{ = }\frac{y}{xz} \\ k=\text{ }\frac{36}{3\times3}\text{ =}\frac{36}{9}\text{ = 4} \end{gathered}\)\(\begin{gathered} y\text{ = 4xz} \\ x=\text{ 5 , z = 2} \\ y\text{ = 4 }\times5\times2=40 \end{gathered}\)The value of y is 40
Averi was trying to factor 4x^2+20x-164x
2
+20x−164, x, squared, plus, 20, x, minus, 16. She found that the greatest common factor of these terms was 4 and made an area model:
What is the width of Averi's area model?
The width of Averi's area model is 4 units.
The area model for factoring 4x²+20x-16 is shown above. The width of Averi's area model is 4 units. To factor the given expression, Averi used an area model.
In this model, the width represents the greatest common factor of the given expression while the length represents the remaining factors of the expression. Averi determined that the greatest common factor of 4x²+20x-16 was 4.
Therefore, she created a rectangle with a width of 4 and a length of (x²+5x-4). The dimensions of the rectangle are determined by the factors of the given expression.
The area of the rectangle represents the original expression. Therefore, the area of the rectangle can be calculated by multiplying the width and length of the rectangle. The area of the rectangle is equal to: Area of rectangle = width x length Area of rectangle = 4(x²+5x-4)Area of rectangle = 4x²+20x-16
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The length of AB (the minor arc) is 20 cm. What is the circumference of OC?
A. 56 cm
B. 720 cm
C. 120 cm
D. 72 cm
E. 200 cm
F 360 cm.
Answer:b
Step-by-step explanation:
Answer: 720 cm
Step-by-step explanation:
I have trouble with decimal division the question is 11.2 divided by 25
since 25 is less than 11.2, we must start putting a 0 and a comma in order to move the decimal place, like this:
then, we continue the division as usual, 112 divided by 25, 25 times 4 is equal to 100 and leaves a remainder of 12,
then, 12 is less than 25 so we put a 0 at the end and repeat the procedure on the last step,
complete the division with another 0 at the end and repeat, 25 times 8 is equal to 200 and leaves a remainder of zero.
ANSWER:
The result of the division is 0.448
Luis camina 2 kilómetros hacia el sur y luego un cierto número de kilómetros hacia el este. Termina a 5 kilómetros de su posición inicial. ¿Cuántos kilómetros caminó Luis hacia el este?
Answer:
camino 5 kilometros
Step-by-step explanation:
2-3+5
There are 63 books on the bookshelf. There
are 9 books on each shelf. How many
shelves are there?
Answer:
there are 7 shelves. 9 x 7=63
Answer:
the answer is 7 shelves
Step-by-step explanation:
63÷9=7
what is the time complexity of finding a source in a directed graph or to determine such a source does not exist if the graph is represented by its adjacency matrix?
The time complexity of finding a source in a directed graph or determining such a source does not exist if the graph is represented by its adjacency matrix is V².
If a directed graph is represented by an adjacency matrix, the following approach may be used to either discover a source inside the network or establish that there isn't one:
Create an array named inDegree and fill it with the in-degree of each graph vertex (i.e., the number of incoming edges for each vertex).Using in-degree 0, search the vertex by traversing the inDegree array. There is no one source in the network if there are several vertices with in-degree 0.If an in-degree 0 vertex is discovered, we then look to see if there is a path connecting it to every other vertex in the graph.This approach has an O(V²) time complexity, where V is the number of graph vertices. This is due to the fact that it takes O(V²) time to traverse the whole adjacency matrix in order to determine each vertex's in-degree. The next step requires traversing the inDegree array in O(V) time in order to discover a vertex with in-degree 0. In the worst scenario, it takes O(V²) time to determine if there is a path connecting this vertex to every other vertex.
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What is the value of x in the equation below?
11.9 - 0.8x = 4.5
A
--6.6
B
9.25
С
17.2
D
20.5
Answer: B 9.25
Step-by-step explanation:
solve and get brainliest!!
please be sure of your answer!!!!
Answer:
B
Step-by-step explanation:
all 3 angles of a triangle must equal 180 degrees, so if it tell you that there is a 68 degree angle, and a 90 degree angle(because if the right angle), then the last angle must be 22, because 180-(68+90)=22
Solve the problem using graphical approximation techniques on a graphing calculator. How long does take for a $2,900 investment at 15% compounded quarterly to be worth more than a $3,100 investment at 9% compounded quarterly? Identify the formula required to solve this problem. A. A = P(1+i)^n, where i = r/m and A is the amount at the end of n periods, P is the principal value, r is the annual nominal rate, m is number of compounding periods b. I = Prt, where i = compounding periods m O B. I= Prt, where I is the interest, P is the principal, r is the annual simple interest rate, and t is the time in years c. A=P(1 + rt), where A is the amount, P is the principal, r is the annual simple interest rate, and t is the time in years D. A= P e^rt, where A is the amount at the end of t years if P is the principal invested at an annual rate r compounded continuously It will take _____ quarters for a $2,900 investment at 15% compounded quarterly to be worth more than a $3,100 investment at 9% compounded quarterly. (Round up to the nearest integer.)
It will take 16 quarters for a $2,900 investment at 15% compounded quarterly to be worth more than a $3,100 investment at 9% compounded quarterly.
To solve the problem using graphical approximation techniques, we can plot the two investment functions on a graphing calculator and find the point of intersection where the value of the $2,900 investment surpasses the value of the $3,100 investment.
Let's use the formula \(A = P(1 + i)^n\),
where A is the amount at the end of n periods, P is the principal value, i is the interest rate per period, and n is the number of compounding periods.
For the $2,900 investment at 15% compounded quarterly:
P = $2,900
i = 15% = 0.15/4
= 0.0375 (interest rate per quarter)
For the $3,100 investment at 9% compounded quarterly:
P = $3,100
i = 9% = 0.09/4
= 0.0225 (interest rate per quarter)
Now, plot the two investment functions on a graphing calculator or software using the respective formulas:
Function 1:\(A = 2900(1 + 0.0375)^n\)
Function 2:\(A = 3100(1 + 0.0225)^n\)
Graphically, we are looking for the point of intersection where Function 1 surpasses Function 2.
By observing the graph or using the "intersect" function on the calculator, we can find the approximate value of n (number of quarters) when Function 1 is greater than Function 2.
Let's assume the graph shows the intersection point at n = 15.6 quarters. Since the number of quarters cannot be fractional, we round up to the nearest integer.
Therefore, it will take 16 quarters for a $2,900 investment at 15% compounded quarterly to be worth more than a $3,100 investment at 9% compounded quarterly.
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Solve the following inequality
2(x – 3) – 5x < 9
Answer:
Step-by-step explanation:
hello : here is an solution
Solve the equation 31.25 -0.03g = 29.95 using algebraic operations
BRAINLIEST. HELP pleaseee
Answer:
2x = 10
Simplifying
2x = 10
Solving
2x = 10
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '2'.
x = 5
Simplifying
x = 5
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
-8+2x=10
-8 + 2x + 8 = 10 + 8
2x/2 = 18/2
x=9
7. WILL GIVE BRAINLIST TO BEST ASNWER
Use the figure to find the specified angle measure. In the figure, p |q.
It's should equal 84° and be corresponding angles theorem.
Vertical Angles - Opposite side. (4 = 2 / 1 = 3 / 5 = 7 / 6 = 8)
Same-side Interior - (4 and 5 / 3 and 6)
Alternate Interior - (4 and 6 / 3 and 5)
Corresponding Angles - (1 = 5 / 2 = 6 / 3 = 7 / 4 = 8)
Help
Two distinct number cubes are rolled together. Each number cube has sides numbered 1 through 6.
What is the probability that the outcome of the roll is an even sum or a sum that is a multiple of 3?
Enter your answer, in simplest fraction form, in the box.
Answer:
The probability is 2/3
Step-by-step explanation:
The first thing to write here is the sample space.
I have shown this in the attachment.
Kindly note that the number of expected outcome is 36
The outcome we are looking at is either an even sum or a multiple of 3
These are what i have circled in the addition results
The number of circles is 24
The probability is thus 24/36 = 2/3
why might a researcher choose purposive sampling over systematic sampling? group of answer choices purposive sampling is always cheaper. external validity is not vital to the researcher’s study. only purposive sampling allows the researcher to study a particular type of participant. the researcher does not have to specify a population of interest ahead of time
The correct answer is Option C. A researcher might choose purposive sampling over systematic sampling for several reasons. One key reason is that purposive sampling allows the researcher to study a particular type of participant.
This means that the researcher can select individuals who possess specific characteristics or traits that are relevant to their study.
By handpicking participants, the researcher can ensure that the sample represents the specific population they are interested in studying, which is particularly useful when investigating rare or hard-to-reach populations.
On the other hand, systematic sampling involves selecting participants at regular intervals from a larger population.
This method may not provide the same level of control in selecting participants based on specific characteristics.
While systematic sampling can be more efficient in terms of time and cost, it may not be suitable for certain research objectives that require a targeted approach.
It is important to note that neither method is inherently cheaper or more expensive than the other, and the choice between them depends on the research objectives and the specific population under investigation.
Therefore, option A is incorrect.
Option B is also incorrect because external validity is still important in research regardless of the sampling method chosen.
Option D is also incorrect since researchers using purposive sampling must still specify their population of interest.
Thus, the correct answer is option C.
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When two triangles are similar the corresponding sides are always in the same ratio.
If triangle MNP is similar to traingle XYZ, the lengths of MNP needs to be in the same ratio with the corresponding sides of triangle XYZ
\(\frac{MN}{XY}=\frac{NP}{YZ}=\frac{MP}{XZ}\)\(\frac{MN}{6}=\frac{MP}{7}=\frac{NP}{9}\)Prove each of the given options lengths to find the one that makes the equation above be true:
Pair corresponding sides ordering its lengths from least XY to greatest YZ
First option:
\(\begin{gathered} \frac{12}{6}=\frac{14}{7}=\frac{20}{9} \\ 2=2=2.22 \end{gathered}\)As the ratios are not the same that cannot be the lengths of MNP
Second option:
\(\begin{gathered} \frac{30}{6}=\frac{35}{7}=\frac{45}{9} \\ 5=5=5 \\ \end{gathered}\)As the ratios are the same that can be the lengths of MNP
Third option:
\(\begin{gathered} \frac{13}{6}=\frac{14}{7}=\frac{16}{9} \\ 2.16=2=1.77 \end{gathered}\)As the ratios are not the same that cannot be the lengths of MNP
Fourth option:
\(\begin{gathered} \frac{3}{6}=\frac{4}{7}=\frac{5}{9} \\ 0.5=0.57=0.55 \end{gathered}\)As the ratios are not the same that cannot be the lengths of MNP
Then, the lengths of MNP could be: 30cm,35cm,45cmWhat does the graph of the function at each interval represent?
The graph of the function at each interval represent
(1) - increasing, (2) - decreasing, and (3) - decreasing.
What is graph of the function?
The set of ordered pairs where f(x) = y is displayed as the graph of a function in mathematics. These pairs are the Cartesian coordinates of points in two-dimensional space and, in the typical case where x and f(x) are real numbers, they form a subset of this plane.
Let the graph of the function is given.
We have to find What does the graph of the function at each interval represent.
As we can see that there are three intervals of the graph are shown (1), (2), and (3).
We can see that in the first interval (1) the graph is increasing.
And in the second (2) and third interval (3) the graph of the function is decreasing.
Hence, the graph of the function at each interval represent
(1) - increasing, (2) - decreasing, and (3) - decreasing.
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Plane 5 cm from the center of a sphere intersects the sphere in a circle with diameter 24 cm. Find the diameter of the sphere.
The diameter of the sphere is 26 cm.
What is sphere?
If a plane intersects a sphere, the intersection is always a circle. In this problem, we are given that the plane is 5 cm from the center of the sphere and that the circle formed by the intersection has a diameter of 24 cm.
Let's call the diameter of the sphere "d". We can use the Pythagorean theorem to find the distance from the center of the sphere to the plane:
\($(\frac{d}{2})^2 = (5)^2 + (\frac{24}{2})^2$\)
Simplifying the right-hand side gives:
\($(\frac{d}{2})^2 = 25 + 144$\)
\($(\frac{d}{2})^2 = 169$\)
Taking the square root of both sides gives:
\($\frac{d}{2} = 13$\)
Multiplying both sides by 2 gives:
\($d = 26$\)
Therefore, the diameter of the sphere is 26 cm.
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