For which value of a does lim g(x) not exist?
x-a
Answers
Answer:
X value de correct answer
Based on the graph of the given limit of a function, the value for which [tex]\lim_{x \to a} g(x)[/tex] doesn't exist is equal to -3.
What is a limit?A limit can be defined as a numerical value which a function approaches (output) as the input value approaches other values. In Mathematics, limits are typically used to determine the following:
IntegralsDerivativesContinuityFor the right-hand limit, we have:
[tex]\lim_{x \to -3^{+}}[ -3 + 1] = -2[/tex]
For the right-hand limit, we have:
[tex]\lim_{x \to -3^{-}} [-3 - 1] = -4[/tex]
By critically observing the graph of the given limit of a function, we can logically deduce that -3 is the value for which [tex]\lim_{x \to a} g(x)[/tex] doesn't exist because the right-hand limit and left-hand limit are not the same (different).
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Related Questions
If a1 = 7 and an = 3an-1 + 3 then find the value of a5.
Find the value of a5
Answers
Answer:
here you go
Step-by-step explanation:
Recursive expressions are ways of expressing sequence using functions. The fifth term of the recursive sequence is 567.
What is Recursive functions?Recursive functions are ways of expressing sequence using functions. Recursive Function is a function that repeats or uses its own previous term to calculate subsequent terms and thus forms a sequence of terms.
here, we have,
given that,
Given the following recursive functions
a₁=7 and;
aₙ = -3aₙ₋₁
For the second term;
a₂ = -3a₁
a₂ = -3(7)
a₂ = -21
For the third term a₃
a₃ = -3a₂
a₃ = -3(-21)
a₃ = 63
For the fourth term
a₄ = 3a₃
a₄ = 3(63)
a₄ = 189
For the fifth term
a₅ = 3a₄
a₅ = 3(189)
a₅ = 567
Hence the fifth term of the recursive sequence is 567.
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Question 2 of 10
What is the slope of the line y = 3? Answer here.
______
Answers
Answer:
0
Step-by-step explanation:
The slope of a horizontal line will always be 0. In our given line, y will equal 3 at any point on the line. This means the line is horizontal, so the slope = 0.
I hope this helps ^^ Good luck ·ω·
Answer:
0
Step-by-step explanation:
Since, You have only given us that y=3.
The slope will be 0
and the y-intercept will be: (0,3)
x | y
0 | 3
1 | 3
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answers
Answer:
h = 6.7km
Step-by-step explanation:
4.5^2 + 4.9^2 = c^2
44.26 = c^2
6.65 = c
Please help me solve this question
Answers
Answer:
The final answer is 78 inches, though I would recommend for you to read through the steps of how this is achieved.
Step-by-step explanation:
To start, to grasp the corresponding sides deal, think of it as saying Quad 1234 is equal to Quad ABCD. Now, it is fairly easy to make up the sides between the two shapes. With this, the following is true:
Side 12 ≅ Side AB
Side 23 ≅ Side BC
Side 34 ≅ Side CD
With the end, it loops back around to meet back at the first edge of the shape again, if you're looking for a side length.
Side 41 ≅ Side DA
Now, with the real stuff. We're greeted with the Quads DEFG and KLMN, and asked to find FG. Looking at it, FG would be using the 3rd and 4th letters of the set of quad edges. Comparing this to the other quad shape, the 3rd and 4th letters are MN. Therefore, lets use this.
Next, set these equal to each other. FG is 5y+3 and MN is 7y-27
5y+3 = 7y-27
5y = 7y-30
-2y = -30
2y = 30
y = 15
y equals 15.
Lastly, plug this into the equation for FG to get the final answer.
5(15)+3
75+3
78 inches
7x+8y= 8
Slope
Y intercept
Answers
Answer:
Slope = -7/8
Y-intercept = (0, 1)
Step-by-step explanation:
Answer:
[tex]slope = - \frac{7}{8} [/tex]
y- intercept= 1
Step-by-step explanation:
Rearrange the equation such that it is in the form of y=mx+c. This form is known as the slope-intercept form, and m is the gradient while c is the y-intercept.
7x +8y= 8
8y= -7x +8
Divide by 8 on both sides:
[tex]y = - \frac{7}{8} x + 1[/tex]
Thus, the slope is [tex] - \frac{7}{8} [/tex] and the y-intercept is 1.
Another way to find the y-intercept is to substitute x= 0 into the equation since the y-intercept occurs at x= 0.
7x +8y= 8
When x= 0,
7(0) +8y= 8
8y= 8
y= 8 ÷8
y= 1
Thus, the y-intercept occurs at y= 1 or the coordinate (0, 1).
Note: slope and gradient have the same meaning and can be used interchangeably
Using the picture above Find the measure of arc EF
Answers
Given:
Measure of arc CG is 125 degrees.
The measure of angle CDG is 85 degrees.
To find:
The measure of arc EF.
Solution:
Intersecting chords theorem: If two chords intersect each other inside the circle, then the measure of angle on the intersection is half of the sum of intercepted arcs.
Using the intersecting chords theorem, we get
[tex]m\angle CDG=\dfrac{1}{2}(m(arcCG)+m(arcEF))[/tex]
Let x degrees be the measure of arc EF.
Substituting the given values, we get
[tex]85^\circ=\dfrac{1}{2}(125^\circ+x)[/tex]
[tex]2\times 85^\circ=125^\circ+x[/tex]
[tex]170^\circ -125^\circ=x[/tex]
[tex]45^\circ=x[/tex]
Therefore, the measure of arc EF is [tex]45^\circ[/tex].
HELP PLZZ ill give u brainlest !!!
Hakeem owns seven less than 3/5
the number of DVDs that Manuel owns. Hakeem owns 20 DVDs. How many DVDs does Manuel own? Show your work.
Answers
Answer: 45 DVDs
Step-by-step explanation:
Assume that the number of DVDs owned by Manuel is x.
In comparison to Manuel therefore, the DVDs owned by Hakeem can be expressed as:
= 3/5 * x - 7
We know that Hakeem owns 20 DVDs so we can use this number to solve for x:
20 = 3/5x - 7
3/5x = 20 + 7
3/5x = 27
x = 27 ÷ 3/5
x = 27 * 5/3
x = 45 DVDs
Micheal records the number of miles he runs each week for nine weeks.
6,11,13,8,15,9,11,5,9
Which box plot represents the data?
Answers
Answer:
... c
Step-by-step explanation:
Need help filling in the blanks
Answers
Answer:
translated up 5 units and stretch by the factor 4
Mr. Moore planted a tree in his backyard. His tree grew 3 1/3 feet over five years. if his tree grew at the same rate each year, how much did the tree grow per year.
A. 1/5 foot
B. 1/3 foot
C. 3/5 foot
D. 2/3 foot
Answers
Answer:
D. 2/3 per year.
Step-by-step explanation:
3 1
3
÷ 5
=
10
3
÷ 5
=
10
3
×
1
5
=
10 × 1
3 × 5
=
10
15
=
10 ÷ 5
15 ÷ 5
=
2
3
lolllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll
Answers
Answer:
trapezoid
hope this helps
have a good day :)
Step-by-step explanation:
can someone help me with this?<33
Answers
9514 1404 393
Answer:
-35
Step-by-step explanation:
Replace F with -31 and do the arithmetic.
C = 5/9(-31 -32)
C = (5/9)(-63) = -35
The temperature in degrees Celsius is -35.
What is the volume of the prism?
Answers
Hi there!
I believe your answer is:[tex]200\text{in}^3[/tex]
Here’s why:The formula for volume of a rectangular prism is:
[tex]V = LWH\\\\L-\text{Length}\\W-\text{Width}\\H-\text{Height}[/tex]
Our given measurements are:
[tex]\text{The height of 8 inches.}\\\\\text{The length of 5 inches.}\\\\\text{The width of 5 inches.}[/tex]
Plugging in the values into the formula...
[tex]V = 5 * 5 * 8\\\\\text{Multiply from left to right.}\\\\\rightarrow V=25*8\\\\\rightarrow \boxed{V=200}[/tex]
[tex]\text{The volume of the prism given should be }\boxed{\text{200 cubic inches.}}[/tex]
Hope this helps you. I apologize if it’s incorrect.
Which describes the relationship between EG and DF 2 Select all that apply.
ty
F
E
21
ס
o
2
4
A
perpendicular
B bisect each other
C. parallel
D. congruent
Answers
Answer:
A perpendicular
B bisect each other
D. congruent
Step-by-step explanation:
Given
Attached quadrilateral
Required
Relationship between EG and DF
First, we have that: DEFG is a square
EG and DF are diagonals
Using the property of diagonals of a square, we have:
EG and DF to be perpendicular
EG and DF to be congruent
EG and DF to be bisect each other
Martha recorded the eye colors of the people who have already signed up for a lecture on genetics.
gray 1
brown 10
hazel 1
green 1
blue 7
Considering this data, how many of the next 16 people to sign up should you expect to be brown-eyed?
Answers
=====================================================
Explanation:
According to the table, 10 people have brown eyes. This is out of 1+10+1+1+7 = 20 people total. So 10/20 = 0.50 = 50% of the group has brown eyes.
If this trend holds up, then we expect 50% of the next group of 16 people also have brown eyes.
50% of 16 = 0.50*16 = 8
We expect 8 people to have brown eyes in this next group. This is of course assuming that the first group is unbiased and represents the population (or is close enough).
Which expression shows the prime
factorization of 66?
A 32 x 11
B 2x 3 x 11
C 6 x 11
Answers
The table represents a proportional relationship. Complete the table and write an equation that describes the relationship
Answers
Answer:
Which table?
There's non
Write the equation of the line whose slope and the point through which it passes are given. Express the equation in point-slope form. (-5-6) and slope m = 3/8
Answers
Answer:
Step-by-step explanation:
PLEASE HELP ASAPPPP!!!!!
Answers
Answer:
see below
Step-by-step explanation: 5 20 15 39
coin 2 possibilities 1/2
three coins (1/2) × (1/2) × (1/2) = _________ or (1/2)³
After the warm-up the participant performs the WAnT. You don't have equipment to automatically track power output, therefore, you count revolutions for each 5 second period of the test. The results are as follows:
Time(sec) 5sec_rpm cumulative
0-5 10 10
5-10 7 17
10-15 9 26
15-20 7 33
20-25 7 40
25-30 6 46
The power output can now be computed for each 5 second period using the following equation:
kg of resistance x number of revolutions x 11.765= power (watts)
Required:
What is the power output for each 5 second period?
Answers
Answer: Missing detail ( weight of resistance = 6.69 Kg )
answer :
787.0785 watts 550.95 watts708.37 watts 550.95 watts 550.95 watts 472.25 wattsStep-by-step explanation:
Applying the equation for computing the power output
= Kg of resistance * number of revolutions * 11.765 ------- ( 1 )
Calculate the power output for each 5 second period
weight ( Kg of resistance ) = 6.69 Kg
Equation 1 becomes :
6.69 * number of revolutions * 11.765 ---- ( 2 )
Next :Apply equation (2) to every 5 seconds interval as represented in the table
For Time 0 - 5
Number of revolutions ( rpm ) = 10
power output = 6.69 * 10 * 11.765 = 787.0785 watts
cumulative rpm = 10 + 0
Cumulative Power = power output + previous power output = 787. 0785watt
For Time ( 5 - 10 )
Number of revolutions ( rpm ) = 7
Power output = 6.69 * 7 * 11.765 = 550.95 watts
Cumulative rpm = rpm + previous rpm = 7 + 10 = 17
Cumulative power = power output + previous power output
= 550.95 + 787.0785 = 1338.0285 watts
Power output for ( 10 - 15 ) = 6.69 * 9 * 11.765 = 708.37 watts
Power output for ( 15 - 20 ) = 6.69 * 7 * 11.765 = 550.95 watts
Power output for ( 20 - 25 ) = 6.69 * 7 * 11.765 = 550.95 watts
Power output for ( 25 - 30 ) = 6.69 * 6 * 11.765 = 472.25 watts
the area of a square whose sides have length x cm is increasing at the rate of 12cm²/s. how fast is the length of a side increasing when the area is 81cm²
Answers
Answer:
0.67 cm/s
Step-by-step explanation:
The area of a square is given by :
[tex]A=x^2[/tex] ....(1)
Where
x is the side of a square
[tex]\dfrac{dA}{dt}=12\ cm^2/s[/tex]
Differentiating equation (1) wrt t.
[tex]\dfrac{dA}{dt}=2x\times \dfrac{dx}{dt}[/tex]
When A = 81cm², the side of the square, x = 9 cm
Put all the values,
[tex]12=2\times 9\times \dfrac{dx}{dt}\\\\\dfrac{dx}{dt}=\dfrac{2}{3}\\\\\dfrac{dx}{dt}=0.67\ cm/s[/tex]
So, the length of the side of a square is changing at the rate of 0.67 cm/s.
A national organization has been working with utilities throughout the nation to find sites for large wind machines that generate electricity. Wind speeds must average more than 20 miles per hour (mph) for a site to be acceptable. Recently, the organization conducted wind speed tests at a particular site. Based on a sample of n = 43 wind speed recordings (taken at random intervals), the wind speed at the site averaged x = 25.8 mph, with a standard deviation of s = 4.2 mph. To determine whether the site meets the organization's requirements, consider the test, H0: µ = 25 vs. Ha: µ > 25, where µ is the true mean wind speed at the site and alpha = .01. Suppose the value of the test statistic were computed to be 1.25. State the conclusion.
A) At alpha = .01, there is sufficient evidence to conclude the true mean wind speed at the site exceeds 25 mph.
B) At alpha΅= .01, there is insufficient evidence to conclude the true mean wind speed at the site exceeds 25 mph.
C) We are 99% confident that the site meets the organization's requirements.
D) We are 99% confident that the site does not meet the organization's requirements.
Answers
Answer:
B) At alpha = 0.01, there is insufficient evidence to conclude the true mean wind speed at the site exceeds 25 mph.
Step-by-step explanation:
P-value of the test:
The p-value of the test is the probability of finding a sample mean above 25.
We are using the t-distribution, with test statistic t = 1.25 and 43 - 1 = 42 degrees of freedom. This probability is a right-tailed test.
With the help of a calculator, this p-value is of 0.1091.
Since the p-value of the test is 0.1091 > 0.01, at [tex]\alpha = 0.01[/tex] there is insufficient evidence to conclude the true mean wind speed at the site exceeds 25 mph, and the correct answer is given by option B.
How does 84.013 compare to 84.01
84.013 > 84.01
84.013 < 84.01
84.013 = 84.01
Answers
Answer:
84.013 > 84.01
Step-by-step explanation:
84.013 is more than 84.01 because it has .12
Factor by grouping. 9c^3-12c^2+18c-24
Answers
Answer:
[tex]9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4][/tex]
Step-by-step explanation:
Given
[tex]9c^3 - 12c^2 - 18c - 24[/tex]
Required
Factor
Group into 2
[tex][9c^3 - 12c^2] - [18c + 24][/tex]
Factorize each group
[tex]3c^2[3c - 4] - 6[3c - 4][/tex]
Factor out 3c - 4
[tex][3c^2 - 6][3c - 4][/tex]
Hence:
[tex]9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4][/tex]
1200 students attend Ridgewood Junior High School. 5% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday?
Answers
Answer:
Your answer is 60 kids brought there lunch to school on Thursday.
Step-by-step explanation:
1200*.05 = 60
Find the Slope between the two points: (-4,3) and (2,-9)
Answers
Answer:
-2
Step-by-step explanation:
going from 3 to -9 is taking away 12, so -12.
going from -4 to 2 is adding 6, so 6.
-12/6 simplifies to -2/1, or -2
What is the measure of BPC?
Answers
Answer:
[tex]\angle BPC=100^{\circ}[/tex]
Step-by-step explanation:
Assuming P is the center of the circle:
The angle BPC encompasses arc BC. Notice angle CEB also encompasses this arc and the measure of angle CEB is given as [tex]50^{\circ}[/tex]. The measure of an angle with a point on the circle that encompasses an arc is equal to half of the measure of an angle with a point on the center of circle. Therefore, the measure of arc BPC is equal to [tex]2\cdot50^{\circ}=\boxed{100^{\circ}}[/tex]
Part 1 l: Jose and Tamika are married with three children . If they decided to combine their income taxes and complete one tax form , what is their filing status ? . Part 2: Jose makes $54,923 and Tamika has an earned income of $49,500 for the year. Using your answer from part 1 how much will they owe in taxes?
Answers
Answer:
that is you ni report kits
The density of a solid bar is 25 pounds per cubic foot. If the bar has a volume of 5.2 cubic feet, what is the weight of the bar?
Answers
Answer:
Step-by-step explanation
Goodbye
Gabriela bought 48 tickets in order to win the $1000 grand prize for the raffle organized by the Student Council. If there are
432 tickets sold for the raffle, what is the probability that Gabriela will not win the grand prize?
Answers
Answer:
[tex]\frac{8}{9}[/tex]
Step-by-step explanation:
Since there are 432 tickets total and Gabriela bought 48, the chances of Gabriela not winning the grand prize is equal to the chance of any of the tickets she did not buy getting drawn. If she bought 48, then she did not buy 432-48=384 tickets. The chances of any of these being drawn is:
[tex]\frac{384}{432}=\boxed{\frac{8}{9}}[/tex]