A) Given the following description, answer the questions.
Move along the graph on the interval x<-1 from left to right.
1) What type of discontinuity is at this domain value?
2) Is this left-sided or right-sided behavior?
3) Rewrite the given statement in infinity notation.
Answers
1) The discontinuity at x = 1 is an infinite discontinuity.
2) This is a both-sides behavior.
3) The statement in infinity notation is given as follows: As x -> 1, f(x) -> ∞.
What is a discontinuity of a function?A discontinuity is value of the input x for which the function is not defined, hence this point is represented by a vertical asymptote in the graph of the function.
The discontinuity in the graph of the function presented at the end of the answer is given as follows:
x = 1.
The classification of the discontinuity is given as follows:
Infinite discontinuity.
Because the function goes up/down as the graph approaches x = 1. This discontinuity is also a both-sided behavior, as the numeric value of the function approaches infinite from both sides of x = 1.
Then the infinity notation of this discontinuity is given as follows:
As x -> 1, f(x) -> ∞.
Missing InformationThe graph of the function is given by the image presented at the end of the answer.
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Related Questions
Using the given graph of the function f, find the following.
(a) the intercepts, if any
(b) its domain and range
(c) the intervals on which it is increasing, decreasing, or constant
(d) whether it is even, odd, or neither
Answers
(a) The intercepts of the sine graph occur when the value of the function is equal to zero. The graph intersects the x-axis at the points (0, 0), (π, 0), and (2π, 0). Therefore, the sine graph has three x-intercepts.
What is Graph ?
A graph is a visual representation of data or mathematical relationships, often displayed as a diagram showing the relationship between two or more variables. Graphs are commonly used in various fields, such as mathematics, science, engineering, economics, and social sciences, to display data and to help analyze and interpret relationships and trends.
There are many different types of graphs, such as line graphs, bar graphs, scatter plots, pie charts, and histograms, each designed to represent data in a different way. Graphs can be created by hand or using computer software, and are often used to illustrate complex data or relationships that are difficult to understand from raw data alone.
(b) The domain of the sine function is all real numbers, as the function is defined for every value of x. The range of the sine function is between -1 and 1, as the values of the function oscillate between these two values.
(c) The sine function is increasing on the interval (0, π/2) and (3π/2, 2π), as the function values increase as x increases within these intervals. The sine function is decreasing on the interval (π/2, 3π/2), as the function values decrease as x increases within this interval. The function is constant at the x-intercepts (0, 0), (π, 0), and (2π, 0).
(d) The sine function is an odd function, as f(-x) = -f(x) for all x. This can be seen by observing that the graph of the sine function is symmetric about the origin, and that the function values alternate in sign as x is negated.
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A large clock on a county courthouse has a circumference of about 25 feet. The minute hand extends from the center of the clock to the edge of the clock. How long is the minute hand?
Answers
Answer:
Minute hand = 3.98 feet
Step-by-step explanation:
Circumference of a circle can be calculated by
C = 2 x pi x radius
The minute hand extends from center to the edge means that minute hand is the radius and that is required.
putting values in above equation
C = 25 and pi = 3.14
25 = 2 x 3.14 x radius
radius = 25 / 6.28
Radius = 3.98 feet
10 fewer than the difference of 8 and w? PLEASE HELP GETS BRAINLY 5 STARS AND A LIKEEEE!!!!!!!!!
Answers
Answer:
(8-w)-10
so -w-2
if w is a variable... sorry this answer is just for reference
Step-by-step explanation:
Which event is most likely to occur?
A. flipping a fair coin, with sides labeled heads and tails, and the coin landing on tails
B. choosing a marble out of a bag, with nine blue marbles and one red marble, and the marble is red
C. rolling a fair number cube, with faces labeled one to six, and the cube landing on a number less than six
D. spinning the arrow on a spinner, with four equal sectors labeled one to four, and the arrow landing on a number greater than one
Answers
T/F?The probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring.
Answers
This statement is False as the probability of intersection of two events is always less than the probability of union.
This assertion is untrue. Contrary to popular belief, the likelihood of two occurrences coming together is always higher than or on pair with the likelihood of them colliding.
The chance of two events A and B occurring together can be calculated using the following formula to see why:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)According to this equation, the probability of A and B joining together is equal to the total of their individual probabilities less the likelihood of their colliding.
When we rewrite this calculation and focus only on the likelihood of the intersection, we obtain:
P(A ∩ B) = P(A) + P(B) - P(A ∪ B)Now it is clear that the probability of the intersection is determined by subtracting the probability of their union from the sum of the probabilities of A and B.
P(A) and P(B) are both less than or equal to P(A B), since probabilities can never be negative. P(A + B) is therefore less than or equal to twice P(A + B) when they are added together. Thus, it follows:
P(A) + P(B) - P(A ∪ B) ≤ P(A ∪ B)This indicates that, contrary to what the original statement implied, the probability of the intersection is not greater than or equal to the probability of the union.
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Which expression is equivalent to is Measure of angle 4? A triangle has angles 1, 2, 3. The exterior angle to angle 1 is 4, to angle 2 is 5, to angle 3 is 6. Measure of angle 2 measure of angle 3 Measure of angle 1 measure of angle 2 Measure of angle 1 measure of angle 3 Measure of angle 5 measure of angle 6.
Answers
Answer: Measure of angle 2 + measure of angle 3
Step-by-step explanation:
The expression is equivalent to is Measure of angle 4 is ''Measure of angle 2 + measure of angle 3''.
Given
A triangle has angles 1, 2, 3.
The exterior angle to angle 1 is 4, angle 2 is 5, to angle 3 is 6.
Exterior angle;An exterior angle is an angle that is formed by one of the sides of any closed shape structure such as polygon and the extension of its adjacent side.
The,
The measure of the angle 4 is;
The measure of angle 2 + measure of angle 3
Hence, the expression is equivalent to is Measure of angle 4 is ''Measure of angle 2 + measure of angle 3''.
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Which of the following best describes ethics?
it is a set of thoughts that are made about kinds of individuals
or their manners of conducting activities
it is a set of values that define r
Answers
Answer:
the second
Step-by-step explanation:
refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice
Guys, I’m back from nearly a year later went on hiatus on The Brainly because of myself as an anxiety and a very stressful year with A.D.H.D., and I really need help from my own schoolwork from my own school about, “A Perimeter Of The Composite Figures” with only 2 more perimeter questions left to go as soon as possible before it’s too late, please! :O
Please read it as soon as possible before answering to 2 of my own perimeter questions and thank you guys. :)
There’s only 55 points for you to answer to my own 2 of my own perimeter questions, guys! :D
Well good luck, guys! :D
Answers
Answer:
2. 26.2 m
3. 117.2 cm
Step-by-step explanation:
You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.
2. Semicircular archThe circumference of a circle is given by ...
C = πd . . . . . where d is the diameter
The length of the semicircle of diameter 12.6 m will be ...
1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m
The two lighted sides of the rectangle have a total length of ...
3.2 m + 3.2 m = 6.4 m
The length of the light string is the sum of these values:
19.8 m + 6.4 m = 26.2 m
The length of the string of lights is about 26.2 meters.
3. Fan shapeThe perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.
Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:
C = 2πr
C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm
The four straight sides total ...
4 × 11.4 cm = 45.6 cm
The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:
71.6 cm + 45.6 cm = 117.2 cm
The design has a perimeter of about 117.2 cm.
__
Additional comment
The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.
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how do I write an equation for a quadratic function represented by a table ?
Answers
Answer:
Hello There!!
Step-by-step explanation:
Firstly,select three ordered pairs from the table. Secondly,substitute the first pair of values in to the form of the quadratic equation: f(x) = ax^2 + bx + c and then solve for a.
hope this helps,have a great day!!
~Pinky~
draw a rough sketch of a closed curve that is not a polygon
Answers
Answer:
I have inserted a photo.
Hope this helps :D
Using the numbers 5. 8. and 24, create a problem using no more than four operations (addition,
subtraction, multiplication, division, square, square root, cube, cube root) where the solution
will be an irrational number. Explain why the result of your operations is an irrational number
Answers
MULTIPLE CHOICE PLS HELP! (Links = report)
Answers
Answer:
Option 1.
3,619.1 m^3
Step-by-step explanation:
Mark as brainliest if this helped :D
The figure below consists of a square and a right triangle. Find the missing length x.
Answers
This is the image to the problem I think
What is slope of the line that pass through (-3,1) and (7,-14)?write your answer in simplesr form.
Answers
Slope = rise/run
Quantitative Problem 1t You deposit \( \$ 2,300 \) into an account that pays \( 6 \% \) per year. Your plan is to withdraw this amount at the end of 5 years to use for a down payment on a new car. How
Answers
You will be able to withdraw approximately $3,076.32 at the end of 5 years.
To calculate the amount you will be able to withdraw at the end of 5 years, we can use the future value formula for compound interest.
The formula for calculating the future value (FV) of a present value (PV) invested at an annual interest rate (r) for a certain number of years (t) is:
\(FV = PV * (1 + r)^t\)
Given:
PV = $2,300
r = 6% = 0.06 (decimal representation)
t = 5 years
Substituting these values into the formula, we get:
FV = $2,300 * \((1 + 0.06)^5\)
Calculating the expression inside the parentheses:
\((1 + 0.06)^5 = 1.338225\)
Multiplying the present value by this factor:
FV = $2,300 * 1.338225
FV ≈ $3,076.32
Therefore, you will be able to withdraw approximately $3,076.32 at the end of 5 years.
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You deposit $2,300 into an account that pays 6% per year. Your plan is to withdraw this amount at the end of 5 years to use for a down payment on a new car. How much will you be able to withdraw at the end of 5 years? Do not round intermediate calculations. Round your answer to the nearest cent
Patrick raced round a 440 metre circular track and stopped suddenly after 900 metres . How far was she from the starting point at the 900 metre mark ? Solve
Answers
Answer:
20 meters
Step-by-step explanation:
The track is circular so it means that after Patrick raced the entire track he is back at the starting point. In other words, every 440 meters he is back to the beginning.
So we would have that, if he races round the track twice, he would run 440(2) = 880 meters and he would be back at the starting point.
The problem asks us how far is he from the starting point at the 900 meter mark. If at 880 meters he is at the starting point, then at 900 meters he would be \(900-880=20\) meters from the starting point.
What is the Area of the Hexagon?
Answers
The region included by a hexagon's sides is known as the area of the hexagon.
What is a hexagon?
A hexagon is a two-dimensional shape with six sides, six angles, nine diagonals, and a total of 720 degrees in its inner angles.
The space included within the polygon's sides is referred to as the hexagon's area.
The area of a regular hexagon is calculated using the formula
(3√3s^2)/2, where 's' is the length of a hexagonal side.
The fact that all the sides are the same length should be noted since we are discussing a regular hexagon.
Hence, area of hexagon is the region included by a hexagon's sides.
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how to write a cosine function with amplitude and period
Answers
To write a cosine function with amplitude and period, we can use the formula f(x) = A cos (2π / P) x, where A is the amplitude and P is the period.
To write a cosine function with amplitude and period, we can use the following formula:
f(x) = A cos (2π / P) x
where A is the amplitude and P is the period.
The amplitude of a cosine function is the distance from the center line to the maximum or minimum value of the function. It represents the maximum displacement of the function from its mean or average value. The period of a cosine function is the length of one complete cycle of the function. It represents the time it takes for the function to repeat itself.
For example, if we want to write a cosine function with an amplitude of 3 and a period of 4, we can use the formula:
f(x) = 3 cos (2π / 4) x
Simplifying this equation, we get:
f(x) = 3 cos (π / 2) x
The cosine of π/2 is equal to zero, so this equation simplifies further to:
f(x) = 0
This means that the function has a constant value of zero for all values of x.
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The number of visitors to a website in the first week is 40. The number of visitors each week is double the number of visitors the previous week. What is the total number of visitors to the website in the first 10 weeks? Show your work.
Answers
The total number of visitors to the website in the first 10 weeks are 40960.
What are numbers?
An arithmetic value used for representing the quantity and used in making calculations.
Here given that the number of visitors each week is twice the number of visitors of the previous week.
So it is clear that the number of visitors to the website in the first ten weeks will be
\(Week \: 1: \: 40 \: visitors \\ Week \: 2: \: 240 = \: 80 \: visitors \\ Week 3: \: 280 = 160 \: visitors \\ Week \: 4: 2160 = 320 \: visitors \\ Week \: 5: 2320 = 640 \: visitors \\ Week \: 6: 2640 = 1280 \: visitors \\ Week \: 7: 21280 = 2560 \: visitors \\ Week \: 8: 22560 = 5120 \: visitors \\ Week \: 9: 25120 = 10240 \: visitors \\ Week \: 10: 2 \times 10240 = 20480 \: visitors\)
Now we need to add up the number of visitors from each week:
Total number of visitors
\(= 40 + 80 + 160 + 320 + 640 + 1280 + 2560 + 5120 + 10240 + 20480\)
Total number of visitors = 40960
Therefore, the total number of visitors to the website in the first 10 weeks is 40,960.
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what is the mean and median also rounded to the nearest tenth
Answers
The mean of the of the given set of numbers is calculated as;
\(\begin{gathered} M=\frac{\Sigma x}{x} \\ \text{Where M is the mean, }\Sigma x\text{ is the addition of all the numbers given,} \\ \text{And x is the number of data provided (7 in this case)} \\ M=\frac{\Sigma(12+15+3+13+9+6+11)}{7} \\ M=\frac{69}{7} \\ M=9.8571429 \\ M\approx9.86\text{ (rounded to two decimal places)} \\ \text{The median is the middle value, counting from both ends.} \\ \text{After arranging in ascending order, you now have} \\ 3,6,9,11,12,13,15 \\ \text{Taking thr}ee\text{ numbers from the left, and thr}ee\text{ numbers from the right,} \\ \text{The median (that is middle value) is 11.} \end{gathered}\)the newly elected president needs to decide the remaining 4 spots available in the cabinet he/she is appointing. if there are 11 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?
Answers
The probability of different ways in which members of the cabinet be appointed is 330
What is probability?Probability is a measure of the possibility of an event occurring.
The likelihood could range from 0 to 1, , where 0 indicates an impossibility and 1 indicates a certainty. Probability is the ratio of possible outcomes to the total outcomes.
Probability = Possible outcomes/total outcomes
The different ways can the members of the cabinet be appointed is given by:
P = ¹¹C₄
P = (11*10*9*8) / (4*3*2*1)
P =330 ways
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In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student plays an instrument given that they play a sport?
Plays an instrument Does not play an instrument
Plays a sport 2 10
Does not play a sport 8 4
Answers
The probability that a student plays an instrument given that they play a sport is 0.1667 or approximately 0.17.
To find the likelihood that an understudy plays an instrument given that they play a game, we can utilize Bayes' hypothesis. Bayes' hypothesis is a recipe that assists us with computing the restrictive likelihood of an occasion in light of earlier information on related occasions.
Let A be the occasion that an understudy plays an instrument and B be the occasion that an understudy plays a game. We need to find the likelihood of A given that B has happened. This is meant as P(A|B), which can be determined as follows:
P(A|B) = P(B|A) * P(A)/P(B)
Where P(B|A) is the likelihood of playing a game given that an understudy plays an instrument, P(A) is the likelihood of playing an instrument, and P(B) is the likelihood of playing a game.
From the information table, we realize that 2 understudies play an instrument and a game, 8 play an instrument however not a game, 10 play a game but rather not an instrument, and 4 don't play by the same token. Accordingly, the complete number of understudies is 24.
We can compute the probabilities as follows:
P(B|A) = 2/10 = 0.2
P(A) = 10/24 = 0.4167
P(B) = (2+10)/24 = 0.5
Subbing these qualities into the equation, we get:
P(A|B) = 0.2 * 0.4167/0.5 = 0.1667
Thusly, the likelihood that an understudy plays an instrument given that they play a game is 0.1667 or roughly 0.17.
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The radius of a circle is 1 meter. What is the circles area? Use 3.14
Answers
Answer:
3.14 is the answer
Step-by-step explanation:
Find an equation for the surface consisting of all points P for which the distance from P to the x-axis is twice the distance from P to the yz-plane. Identify the surface.
Answers
Answer:
Step-by-step explanation:
The equation for the surface consisting of all points P for which the distance from P to the x-axis is twice the distance from P to the yz-plane can be found by using the distance formula in three dimensions.
Let (x, y, z) be a point P on the surface. The distance from P to the x-axis is |x|, and the distance from P to the yz-plane is sqrt(y^2 + z^2). Setting these two distances equal and solving for x, we get:
|x| = 2 * sqrt(y^2 + z^2)
x = 2 * sqrt(y^2 + z^2) if x >= 0
x = -2 * sqrt(y^2 + z^2) if x < 0
This is the equation for a hyperboloid of one sheet. The hyperboloid of one sheet is a three-dimensional surface with two connected components that are mirror images of each other across the x-axis.
-18a^2b^2/5cd divided by (-9ab^3/5c^2d^4)
simplify the expression and find the domain
Answers
The simplified expression is (2ad^3) / (3b). The domain of the expression is all real numbers except when b = 0.
To simplify the expression (-18a^2b^2/5cd) / (-9ab^3/5c^2d^4), we can simplify the numerator and denominator separately, then divide them.
Simplifying the numerator: (-18a^2b^2/5cd)
Simplifying the denominator: (-9ab^3/5c^2d^4)
To divide fractions, we can multiply the numerator by the reciprocal of the denominator:
((-18a^2b^2/5cd) * (5c^2d^4/-9ab^3))
Simplifying further:
(-18a^2b^2 * 5c^2d^4) / (5cd * -9ab^3)
Canceling out common factors:
(-18a^2 * b^2 * c^2 * d^4) / (-9a * b^3 * c * d)
Simplifying:
(2a * d^3) / (3b)
Therefore, the simplified expression is (2ad^3) / (3b).
Now let's determine the domain of the expression. The expression is defined for all real values of a, b, and d except when b = 0. This is because division by zero is undefined in mathematics.
Therefore, the domain of the expression is all real numbers except when b = 0.
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Please help I don’t know this at all
Answers
Step-by-step explanation:
i probably didn't explain this too well, but I hope it helps
the answers are in blue
The table shows the results of rolling a number cube with sides labeled 1 through 6 several times. Outcome Number of times outcome occurred 1 10 What is the experimental probability of rolling a 3 or a 6? 2 6 Enter your answer as a fraction in simplest form in the box.. 3 4 4 8 5 6 Basic 6 6 7 8 9 L: X y
Answers
Answer:
Because a 2 or a 4 was rolled 3 out of 12 times in the experiment, t so the fraction would be 3/12 (or 3 over 12).
Simplified: 1/4 (or 1 over 4)
Step-by-step explanation:
Simplify (34 - 13) - (-6+5)
Answers
Answer:
22
Step-by-step explanation:
the sscp exam consists of ____ multiple-choice questions, and must be completed within three hours.
Answers
Answer:
125 questions
Answer:
125 questions
Step-by-step explanation:
You record the amounts of time you practice singing each day for 6 days. Your friend practices the same total amount of time, but for an equal number of hours each day. How long does your friend practice each day?
Answers
Answer:
mijjujihnnijnihnknijnlkuhiy7g7ygi7yygub7tgiuhguyg
Step-by-step explanation: