for the function f(x) given below, evaluate limx→[infinity]f(x) and limx→−[infinity]f(x) . f(x)=−x2−2x4x4−3‾‾‾‾‾‾‾√ enter an exact answer.
Answers
The function f(x) = -x² - 2x / (4x⁴ - 3) has a denominator that goes to infinity, as the highest power of x is 4. As the degree of the numerator is less than the degree of the denominator, limx→[infinity]f(x) = 0. We get:limx→−[infinity]f(x) = limx→−[infinity]-1/x⁴ / (1/x⁴ + 3/x⁴) limx→−[infinity]f(x) = limx→−[infinity]-1 / (1 + 3x⁴) = -1. Therefore, limx→−[infinity]f(x) = -1 and limx→[infinity]f(x) = 0.
To determine the limit limx→−[infinity]f(x), we first need to divide the numerator and denominator by the highest power of x that they share, which is x²:f(x) = -x² / x² - 2x / x²(4x⁴ - 3)Simplifying, we get:f(x) = -1 / (1 - (2x² / (4x⁴ - 3)))
Now we can take the limit as x approaches negative infinity: limx→−[infinity]f(x) = limx→−[infinity]-1 / (1 - (2x² / (4x⁴ - 3)))Multiplying the numerator and denominator by 1/x⁴, we get : limx→−[infinity]f(x) = limx→−[infinity]-1/x⁴ / (1/x⁴ - (2/4 - 3/x⁴)) .
Simplifying, we get:limx→−[infinity]f(x) = limx→−[infinity]-1/x⁴ / (1/x⁴ + 3/x⁴) limx→−[infinity]f(x) = limx→−[infinity]-1 / (1 + 3x⁴) = -1. Therefore, limx→−[infinity]f(x) = -1 and limx→[infinity]f(x) = 0.
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Related Questions
Name the shape below.
1. irregular pentagon
2. irregular quadrilateral
3. irregular octagon
4. irregular hexagon
Answers
Answer:
3
Step-by-step explanation:
Irregular pentagon since it has 5 sides
Answer:
irregular pentagon
(first option listed)
Step-by-step explanation:
This shape still has five sides--making it a pentagon. Because the angles are not exactly the same, and so the side lengths are also not equal, we name it an "irregular" pentagon.
hope this helps! have a lovely day :)
If mike wanted to know the graphed equation what sequence would he use?
Answers
Answer:
Whats the choices?
Step-by-step explanation:
will award 100 points
Answers
Answer:
4 and 6 are alternate interior angles.
3 and 7 are corresponding angles.
8 and 1 are same side exterior angles
Answer:
4 or 6 what the other person said was right
Step-by-step explanation:
Find the product of (x − 5)2.
x2 + 10x + 25
x2 − 10x + 25
x2 − 25
x2 + 25
Answers
Answer:
\({x}^{2} - 10x + 25\)
Step-by-step explanation:
How can we solve this?For this problem, we can break the equation into (x - 5) use FOIL. First, Outer, Inner, Last.
(x - 5) (x - 5)
First, multiply the two Xs together.
X * X =
\( {x}^{2} \)
Now, the outer numbers and values.
X * -5 =
\( - 5x\)
Then, it's the inner numbers and values.
-5 * x =
\( - 5x\)
Finally, multiply the last numbers.
-5 * -5 =
\( 25\)
Now that we have multiplied all of the values, we can put the answers from FOIL together.
\( {x}^{2} - 5x - 5x + 25\)
Now, add any like terms.
\( - 5x - 5x = - 10x\)
The answer is
\( {x}^{2} - 10x + 25\)
Symmetric confidence intervals are used to draw conclusions about two-sided hypothesis tests.a. Trueb. False
Answers
The given statement "Symmetric confidence intervals are used to draw conclusions about two-sided hypothesis tests" is True.
In statistics, a confidence interval is a range within which a parameter, such as a population mean, is likely to be found with a specified level of confidence. This level of confidence is usually expressed as a percentage, such as 95% or 99%.
In a two-sided hypothesis test, we are interested in testing if a parameter is equal to a specified value (null hypothesis) or if it is different from that value (alternative hypothesis). For example, we might want to test if the mean height of a population is equal to a certain value or if it is different from that value.
Symmetric confidence intervals are useful in this context because they provide a range of possible values for the parameter, with the specified level of confidence, and are centered around the point estimate. If the hypothesized value lies outside the confidence interval, we can reject the null hypothesis in favor of the alternative hypothesis, concluding that the parameter is different from the specified value.
In summary, symmetric confidence intervals play a crucial role in drawing conclusions about two-sided hypothesis tests by providing a range within which the parameter of interest is likely to be found with a specified level of confidence. This allows researchers to determine if the null hypothesis can be rejected or if there is insufficient evidence to do so.
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hello please help i’ll give brainliest
Answers
Answer:
LandslideStep-by-step explanation:
As,
Landslide, also called landslip, the movement downslope of a mass of rock, debris, earth, or soil (soil being a mixture of earth and debris).
Landslides occur when gravitational and other types of shear stresses within a slope exceed the shear strength (resistance to shearing) of the materials that form the slope.
Answer:
Landslide
Hope this helps. Plz give brainliest
a sports analyst claims that the mean batting average for teams in the american league is not equal to the mean batting average for teams in the national league because a pitcher does not bat in the american league. what hypothesis test would be used to test that batting average for teams in the american league is not equal to the batting average in the national league?
Answers
Hypothesis test used to test the batting average of the two given team national league and American league is given z-test.
As given in the question,
Given : Mean batting for American league is not equal to Mean batting for National league.
Here two teams are given representing sample size of the population.Hypothesis tests help us to make decisions or conclusion about the value of the given parameters, such as the population mean. Based on it two approaches are used for conducting a hypothesis test one is the critical value and the P-value test.If in the given data population standard deviation (σ) can be calculated, a hypothesis test used for one population mean is z-test. A z-test represents the hypothesis test which is used to test a population mean, μ, against a considered population mean, μ₀.Therefore, hypothesis test used to test the batting average of the national league and American league is given z-test.
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A soccer team made $575.75 from selling popcorn at a concession stand during a tournament. The popcom cost the
team $65.00. What is the amount of money earned for each player if the profit is divided equally among the 15
players? Round to the nearest cent.
O S34.05
0 $42.72
57.661.25
59.611.25 hurry I'm being timed!
Answers
Answer:
$34.05
Step-by-step explanation:
OUT 1 Describe the rule of this function, IN and find the missing numbers. 0- 2 - 4 - 5 F U N C T I 7 13 25
Answers
First
In = x
out =y
when x=0 , y=1
so in order to find the rule we have, because the one we have in x=0
y=kx+1
so we need to find k for example using x=2 y=7
7=k(2)+1
Then we isolate the k
2k=7-1
2k=6
k=6/2
k=3
so the rule is
y=3x+1
for x=5
y=3(5)+1=16
x=5 y=16
for y=25
25=3x+1
25-1=3x
24=3x
x=24/3
x=8 y=25
the missing values are
16
8
explain the difference between a stratified sample and a cluster sample. (select all that apply.) in a stratified sample, the clusters to be included are selected at random and then all members of each selected cluster are included.
Answers
The required points on difference between a stratified sample and a cluster sample are explained.
How we go through the difference between a stratified sample and a cluster sample?In a stratified sample the populace is partitioned into various portions and afterward we take irregular components from each section.
In a group test, the example is separated into sections (or bunches) and afterward the example is taken by choosing different clusters.
Consequently, in the group test we take ALL components from various bunches while in a separated example we take A few components from the various segments.
According to question:In a group test, the main examples conceivable are those including each kth thing from the irregular beginning position: Bogus. In the group test we select all things from the bunch.In a group test, each example of size n has an equivalent possibility being incorporated: Valid. in the event that we partition the example into groups of size n, each bunch has an equivalent possibility being chosen (since we select them at irregular).In a separated example, irregular examples from every layers are incorporated: Valid. We previously said that we take an irregular example from each fragment (layers).In a separated example, the main examples conceivable are those including each kth thing from the irregular beginning position: Misleading. We can apply various strategies to choose our example from every layers.In a bunch test, the groups to be incorporated are chosen indiscriminately and afterward all individuals from each chose group are incorporated. Valid. This is the meaning of bunch test we composed from the beginning.In a delineated example, each example of size n has an equivalent possibility being incorporated: Valid, we take tests from components, not from stratas.In a bunch test, irregular examples from every layers are incorporated: Bogus. This is the meaning of separated example.In a separated example, the bunches to be incorporated are chosen aimlessly and afterward all individuals from each chose group are incorporated: Bogus. This is the meaning of bunch test.To know more about stratified sample and a cluster sample visit:
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20x50= ?
Please answer me!
Answers
Answer:
1,000
Step-by-step explanation:20*50
anthony sells two different size jars of peanut butter. The large size sells for 2.60 and the small size sells for 1.80. He has 80 Jars worth 164. How many of each size jar does he have?
Answers
Let's solve this problem using a system of equations. Let's denote the number of large jars as "L" and the number of small jars as "S."
According to the given information, we can set up the following equations:
The total number of jars: L + S = 80
The total value of the jars: 2.60L + 1.80S = 164
To solve this system of equations, we can use the substitution method. First, we solve equation 1 for L:
L = 80 - S
Now substitute this expression for L in equation 2:
2.60(80 - S) + 1.80S = 164
208 - 2.60S + 1.80S = 164
-0.80S = 164 - 208
-0.80S = -44
S = (-44) / (-0.80)
S = 55
Substituting this value back into equation 1
L = 80 - 55
L = 25
Therefore, Anthony has 25 large jars and 55 small jars.
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Choose a coefficient b that makes this system singular. Then choose a right side g that makes it solvable. Find two solutions in that singular case.
2x + by =16
4x + 8y = g.
Answers
To make the system singular, we need the coefficient of one of the variables to be a multiple of the coefficient of the same variable in the other equation. Let's choose b = 4, which makes the first equation a multiple of the second:
2x + 4y = 16
4x + 8y = g
To make the system solvable, we need the two equations to not be parallel, which means the slopes must be different. Let's choose g = 32, which gives the second equation a slope of 1/2:
2x + 4y = 16
4x + 8y = 32
We can solve this system using substitution or elimination. Let's use elimination:
-2(2x + 4y = 16) -> -4x - 8y = -32
4x + 8y = 32
0 = 0
We see that the last equation is always true, which means the system has infinitely many solutions. We can find two solutions by setting x = 0 and solving for y:
2(0) + 4y = 16
y = 4
So one solution is (0,4). Now let's set y = 0 and solve for x:
2x + 4(0) = 16
x = 8
So another solution is (8,0).
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pa help, pleaseeee. sana mahanap to ng matalino, pumuputok utak ko, pahelp naman po please
Answers
2. True
3. False
4. False
5. True
6. False
7. B, 8 units
(3x -4 = x+12, solve the equation)
8. D, 40 degrees
(3x -4 +x+12, substitute the value of x found in question 7)
9. B
10. C
11. A
12. D
13. A, 7 units
(3y + 1 = 2y + 8 , solve the equation)
14. A, 22 units
(3y+1, substitute the value of y found in question 13)
15. C, 10 units
(CL is half of CO)
If you have any more questions, feel free to ask me ;)
What’s the answer bc I cannnot forgive this out rs
Answers
Answer:
x=0.41666666666666663,−0.916666666666666
Step-by-step explanation:
Its in the doc below
Pranay's school is selling tickets to the annual talent show. On the first day of ticket sales the
school sold 9 senior citizen tickets and 10 student tickets for a total of $113. The school took in
$64 on the second day by selling 2 senior citizen tickets and 10 student tickets. What is the price
each of one senior citizen ticket and one student ticket?
Answers
Answer:
Price of senior citizen ticket = $7
Price of student ticket = $5
Step-by-step explanation:
Let:
senior citizen ticket price = astudent ticket price = bEquations formed :
9a + 10b = 1132a + 10b = 64Subtract : Equation 1 - Equation 2
9a + 10b - 2a - 10b = 113 - 647a = 49a = 7Finding b
2(7) + 10b = 6410b = 50b = 5Solution
Price of senior citizen ticket = $7Price of student ticket = $5Answer:
Senior tickets would be 7 dollars
and
Student ticket prices would be 5 dollars
Step-by-step explanation:
Add 17 , 19 , 20 , 20 , and 23
Answers
Answer:
99
Step-by-step explanation:
Answer:
=99
Step-by-step explanation:
Frederick is training for a triathlon and wants to focus on swimming this week. He can swim 25 yards in 23 seconds. He set up a proportion to determine how long it would take him to swim 175 yards at this rate. Which proportions can be used to determine how long it would take him to swim 175 yards?
Answers
Answer:
161secsStep-by-step explanation:
If Frederick can swim 25 yards in 23 seconds, then:
25 yards = 23 seconds
To determine how long it will take him to swim 175yards, we will say:
175 yards = x
Equating both expression:
25 yards = 23 seconds
175 yards = x
Cross multiply
25x = 23*175
25x = 4025
Divide both sides by 25
25x/25 = 4025/25
x = 161 secs
This means that it will take Frederick 161 secs to swim 175 yards
Sabrina is x years old.
Meghan is twice as old as Sabrina.
Michael is three years younger than Meghan.
The product of Sabrina's and Michael's age is 35.
How old is Meghan?
Answers
Answer:
10
Step-by-step explanation:
If Sabrina is 5 & Michael is 7. (5×7=35)
Michael is 7, & he is 3 yrs younger than Meghan, who is 10. And Meghan is twice as old as Sabrina, when Sabrina is 5 (5×2=10).
Answer:
Meghan is 10 years old
Step-by-step explanation:
We can write out the information with equations and then combine the information. Then, we can solve for x and hence solve for Meghan's age.
We write our first variable, x. Meghan (m) is twice as old as Sabrina (x). So we write:
m = 2x
Michael (M) is 3 years younger than Meghan. So we write:
M = m - 3
The product (multiplication) of Sabrina's and Michael's age is 35. So we write:
Mx = 35
To solve for x, we can substitute Meghan's age (2x) into the equation for Michael.
M = 2x - 3
Then, we can substitute this for M in the final equation to solve for x. This will be a quadratic so we factorise to solve it:
x(2x - 3) = 35
2x² - 3x = 35
2x² - 3x -35 = 0
(2x - 7)(x - 5) = 0
x = ⁷⁄₂ or 5
we know it is 5 since ⁷⁄₂ does not work and it is not a whole number. Hence:
m = 2(5)
m = 10
Which of the following is NOT CORRECT about Poisson distribution? The probability distribution function for a Poisson random variable X is given by, p(X=x)= x!
e −λ
λ x
Answer: a. Random variable X can be zero (X=0) b. Random variable X can be any positive value c. λ must be a positive value d. Variance is λ e. Mean is λ
Answers
The correct answer is (b) Random variable X can be any positive value. The Poisson distribution is a discrete probability distribution that models the number of events occurring within a fixed interval of time or space, given the average rate of occurrence (denoted by λ).
It has several properties that distinguish it from other probability distributions:
(a) Random variable X can be zero (X=0): In the Poisson distribution, it is indeed possible for the random variable X to take on the value of zero. This means that there is a probability of no events occurring within the given interval.
(b) Random variable X can be any positive value: This statement is incorrect. The Poisson distribution deals with discrete events, meaning the random variable X can only take on non-negative integer values. It cannot be any positive real number.
(c) λ must be a positive value: This statement is correct. The parameter λ, which represents the average rate of occurrence, must be a positive value in the Poisson distribution. It determines the shape and intensity of the distribution.
(d) Variance is λ: This statement is correct. The variance of a Poisson distribution is equal to its mean, which is λ. Therefore, the variance is λ.
(e) Mean is λ: This statement is correct. The mean of a Poisson distribution is equal to the average rate of occurrence, which is λ. Therefore, the mean is λ.
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I need help !! Omg omg omg omg help help help help
Answers
Answer:
6
Step-by-step explanation:
Answer:
The answer is 6
Step-by-step explanation:
Solve the equation.
–3x + 1 + 10x = x + 4
x = x equals StartFraction one-half EndFraction
x = x equals StartFraction 5 Over 6 EndFraction
x = 12
x = 18
Answers
The solution to this equation –3x + 1 + 10x = x + 4 include the following: A. x = 1/2.
How to create a list of steps and determine the solution to the equation?In order to create a list of steps and determine the solution to the equation, we would have to rearrange the variables and constants, and then collect like terms as follows;
–3x + 1 + 10x = x + 4
-3x + 10x - x = 4 - 1
6x = 3
By dividing both sides of the equation by 6, we have the following:
6x = 3
x = 3/6
x = 1/2
In conclusion, we can reasonably infer and logically deduce that solution to this equation –3x + 1 + 10x = x + 4 is 1/2 or 0.5.
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Complete Question:
Solve the equation.
–3x + 1 + 10x = x + 4
x = 1/2
x = 5/6
x = 12
x = 18
ZA and ZB are complementary angles. If m_A = (6x – 4)º and m
ZB = (x + 17)°, then find the measure of ZA.
Answers
\(\\ \sf\longmapsto 6x-4+x+17=90\)
\(\\ \sf\longmapsto 7x+13=90\)
\(\\ \sf\longmapsto 7x=90-13=77\)
\(\\ \sf\longmapsto x=11\)
Answer:
\(62 \degree\)
Step-by-step explanation:
Complementary Angles are added up to 90°
Therefore,
\(6x - 4 + x + 17 = 90 \\ 7x + 13 = 90 \\ 7x = 90 - 13 \\ 7x = 77 \\ \frac{7x}{7} = \frac{77}{7} \\ x = 11\)
So,
\(ZA = 6x - 4 \\ = 6 \times 11 - 4 \\ = 66 - 4 \\ = 62 \degree\)
Hope this helps you.
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In which of the following division problems will the quotient be larger than the dividend?
10 ÷ 5
1/4 ÷ 2
5 ÷ 1/6
1/2 ÷ 7
Answers
Answer: 5÷ 1/6 =30
Step by step explaination:
CAN ANYONE PLEASE EXPLAIN TO ME WHAT ON EARTH THIS MEANS
Answers
the work that you're required to do has to contain all three requirements in order to earn the maximum number of points, and it also has to be creative (meaning no copying other people's work)
Find a formula for the general term an of the sequence, assuming
that the pattern of the first few terms continues. {8, 4, 8, 4,} an
= How do I go about doing these types of questions?
Answers
The general term of the given sequence {8, 4, 8, 4, ...} can be represented by the formula: an = 8 - 4 * ((n - 1) mod 2), where n is the position of the term in the sequence.
we need to analyze the pattern in the given terms and try to identify a formula that generates those terms. Let's examine the given sequence {8, 4, 8, 4, ...}.
From the first few terms, we can observe that the sequence alternates between the numbers 8 and 4. The first term is 8, the second term is 4, the third term is 8 again, and so on. This pattern repeats indefinitely.
We can express the alternating pattern more formally by using the modulo operation. The modulo operation calculates the remainder when a number is divided by another number. In this case, we'll use the modulo 2 (mod 2) operation, which returns either 0 or 1.
If we consider the position of each term in the sequence, we can notice that the terms at even positions (2nd, 4th, 6th, ...) are equal to 4, and the terms at odd positions (1st, 3rd, 5th, ...) are equal to 8.
To represent this pattern mathematically, we can define a formula for the general term of the sequence:
an = 8 - 4 * ((n - 1) mod 2)
In this formula, 'an' represents the 'n-th' term of the sequence. The expression ((n - 1) mod 2) evaluates to 0 for even values of 'n' and 1 for odd values of 'n'. By multiplying this expression by 4 and subtracting it from 8, we get the desired alternating pattern of 8s and 4s.
For example, let's find the 7th term of the sequence using the formula:
a7 = 8 - 4 * ((7 - 1) mod 2)
= 8 - 4 * (6 mod 2)
= 8 - 4 * 0
= 8
Therefore, the 7th term is 8, which aligns with the pattern of the sequence.
By using this formula, you can find any term in the sequence by plugging in the corresponding value of 'n'.
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If AB = 2, AD = 5, and DE = 6, what is the length of ?
2.5
2.7
2.4
2.3
Please help
Answers
The length of BC in this problem is given as follows:
BC = 3.6.
What are similar triangles?Two triangles are defined as similar triangles when they share these two features listed as follows:
Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.The similar triangles for this problem are given as follows:
ABC and ADE.
Hence the proportional relationship for the side lengths is given as follows:
3/5 = BC/6.
Applying cross multiplication, the length BC is given as follows:
BC = 6 x 3/5
BC = 3.6.
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8 2/3 divided by 4/3 .
Answers
Answer:
0.0555555555555556 thats what my calculator said
Step-by-step explanation:
13/2 in improper fractions
6.5 in decimal
The circumference of a circle can be found using the formula c=2 pi r.
Which is an equivalent equation solved for r
Answers
The formula for the circumference of a circle is C = 2πr, where r is the radius and C is the circumference. The equation solved for r is r =c/π2 .
p1.81 use eq. (1.39) to fi nd and sketch the streamlines of the following fl ow fi eld: u 5 kx; v 5 2ky; w 5 0, where k is a constant.
Answers
To find and sketch the streamlines of the given flow field, we need to first solve for the stream function ψ, which is related to the flow velocity (u, v, w) by Eq. (1.39). The equation for the stream function is:
ψ = ux - vy
Substituting the given flow velocity in the equation, we get:
ψ = kx2 - 2ky2
Now, to find the streamlines, we need to solve for the partial derivatives of ψ with respect to x and y:
∂ψ/∂x = 2kx, ∂ψ/∂y = -2ky
The streamlines of the given flow field can be sketched by plotting the points (x, y) where the partial derivatives of ψ are equal to zero, i.e. 2kx = 0 and -2ky = 0. Hence, the streamlines will be given by x = 0 and y = 0.
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