Answer:
4) The limit does not exist.
General Formulas and Concepts:
Calculus
Limits
Right-Side Limit: [tex]\displaystyle \lim_{x \to c^+} f(x)[/tex]Left-Side Limit: [tex]\displaystyle \lim_{x \to c^-} f(x)[/tex]Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]
Step-by-step explanation:
*Note:
For a limit to exist, the right-side and left-side limits must be equal to each other.
Step 1: Define
Identify
[tex]\displaystyle f(x) = \left\{\begin{array}{ccc}5 - x ,\ x < 5\\8 ,\ x = 5\\x + 3 ,\ x > 5\end{array}[/tex]
Step 2: Find Left-Side Limit
Substitute in function [Left-Side Limit]: [tex]\displaystyle \lim_{x \to 5^-} 5 - x[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to 5^-} 5 - x = 5- 5 = 0[/tex]Step 2: Find Left-Side Limit
Substitute in function [Right-Side Limit]: [tex]\displaystyle \lim_{x \to 5^+} x + 3[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to 5^+} x + 3 = 5 + 3 = 8[/tex]∴ since [tex]\displaystyle \lim_{x \to c^+} f(x) \neq \lim_{x \to c^-} f(x)[/tex] , [tex]\displaystyle \lim_{x \to 5} f(x) = \text{DNE}[/tex]
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Help plsssssssssss I’d really appreciate it
Answer:
The answer is the second one. "The distance decreases at a constant rate for the entire time"
Step-by-step explanation:
Find the value of x. 64 x
Answer:
the value of x is 116
Step-by-step explanation:
180-64=116
ONE HUNDRED POINTS PLEASE BE HONEST.
Answer:
12.207
Step-by-step explanation:
a^2 + b^2 = c^2
a and b are legs of the right triangle, c is the hypotenuse.
The hypotenuse squared is equal to the square root of (7^2 + 10^2).
The square root of 149 is around 12.207.
You cannot simplify the square root of 149 so if the question wants it in radical form just input square root of 149.
Susan has a blue skirt, a green skirt, and a gray skirt. She also has a white sweater, a purple sweater, and a green sweater.
If she randomly selects her outfit, what is the probability she will select the gray skirt and the purple sweater to wear to work that day?
Consider the equation a3= 64 Find the value of a.
1.) Apply the distribute property, 3 (2x + 4)
Answer:
6x+12
Step-by-step explanation:
2x*3= 6x
4*3= 12
6x+12
hope this helps
Answer plz I will make first correct answer brainleist
Answer:
18
Step-by-step explanation:
Jay had three cupcakes he divided the cupcakes by 1/3 how many pieces of cupcakes does Jay have now
Answer:
9
Step-by-step explanation:
if one cupcake is split into 3 pieces *1/3 per piece* then 3 cupcakes would be 9 slices in total *3x3=9*
The area of a square floor on a scale drawing is 36 square centimeters, and the scale drawing is 1 centimeter:3 ft. What is the area of the actual floor? What is the ratio of the area in the drawing to the actual area?
Answer:
36 answer
Step-by-step explanation:
What's the right answer?
Given:
[tex]sinh(f(x))=1+x^2[/tex]
To find:
The value of f'(x).
Solution:
Formulae used:
[tex]\dfrac{d}{dx}sinh(x)=cosh(x)[/tex]
[tex]\dfrac{d}{dx}x^n=nx^{n-1}[/tex]
[tex]\dfrac{d}{dx}C=0[/tex]
Chain rule:
[tex]\dfrac{d}{dx}[f(g(x))]=f'(g(x))g'(x)[/tex]
Where C is an arbitrary constant.
We have,
[tex]sinh(f(x))=1+x^2[/tex]
Differentiate with respect to x.
[tex]cosh(f(x))f'(x)=0+2x[/tex]
[tex]f'(x)=\dfrac{2x}{cosh(f(x))}[/tex]
Therefore, the required values is [tex]f'(x)=\dfrac{2x}{cosh(f(x))}[/tex].
what is triganomatry
AB ≅ CD
DB ≅ DC
BC ≅ AD
CB ≅ AB
Answer and Step-by-step explanation:
The answer would be
CB ≅ AB
Because these parts of the shape match up and are proven congruent by CPCTC. And, if you were to look at the other pairs of sides given as answer choices, they don't look nearly the same.
#teamtrees #PAW (Plant And Water)
Pls help Homework is due tomorrow and Im not sure about the answer!
Answer:
The picture isn't clear enough.
How many classes would Gina need to take for the total cost to be the same at both dance studios
Answer:
How many classes is Gina taking?
Answer:
10
Step-by-step explanation:
right on edge
PLSS HELP PLS EXPLAIN WITH FULL EXPLANATION
Answer:
Cant give sorry
Step-by-step explanation:
I can't give u the answer but I can give u how to find the part of the triangle.
Area of a triangle is Base × High ÷2
❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️
Answer: b is the answer
Step-by-step explanation:
What is an angle that is adjacent to
CED?
A Sociology student investigated the association between a country's Literacy Rate and Life Expectancy, and then drew the conclusions listed below. Explain why each statement is incorrect. (Assume that all the calculations were done properly.)
a) The $$R^2$$ of 64% means that the Literacy Rate determines 64% of the Life Expectancy for a country.
b) The slope of the line shows that an increase of 5% in Literacy Rate will produce a 2-year improvement in Life Expectancy.
Solution :
The term 'literacy rate' provides the ability of a person who is from a definite age group can read or write.
a). [tex]$R^2$[/tex] does not determine the rate at which the variable explains another, but it explains the amount the amount of variability in one of the variables as explained by the other variable.
b). The slope given provides an expected improvement but it cannot guarantee the improvement. The value may be less or it could be more also.
The regression model provides the prediction and not the actual values.
3.
Write the equation of the line best fit
Answer:
i dont quite have a answer i just need points sorry good luck tho .
A math teacher at George Washington Middle School asked boys in the 6th and 7th grades to report their shoe size. She used the results to create these histograms
Which conclusion best supported by the histograms?
A as boys get older, shoe sizes become more normally distributed with fewer large outliers.
B As boys get older, shoe size range, defined by the minimum and maximum, decreases
C As boys get older, shoe sizes increase and the distribution remains relatively unchanged.
D As boys get older, shoe size distribution becomes more spread with more large outliers
Answer:
As boys gets older, shoe sizes becomes more normally distributed with fewer large outliers.
Step-by-step explanation:
A visual analysi ls of the histogram distribution provided, we can observe that size distribution of 6 graders is positively skewed (right tailed) as outliers seems more to the right(large sizes). However, the second graph is balanced with a normal or symmetric distribution representing older age (7th graders). Hence, we can conclude that as the boys gets older, they attain normality in terms of their shoe sizes. And the outliers which are characterized by the first histogram having vanished or reduced.
PLEASE HELP ASAP 50 POINTS! real answers only or will be reported and deleted!
Find the probability of “landing” in the shaded region of the figures below.
9514 1404 393
Answer:
3/16
Step-by-step explanation:
The radii of the three circles appear to be in the ratios ...
5 : 10 : 20 = 1 : 2 : 4
Then the areas of the circles will be in the ratios that are the square of these:
1 : 4 : 16
The shaded area is the area of the middle-sized circle, less the area of the smaller circle, so is 4-1 = 3 "ratio units". The ratio of that area to the area of the largest circle is the probability of randomly choosing a point in the shaded area:
p(shaded) = 3/16
Answer:
3/16
Step-by-step explanation:
i took the test
Which set of ordered pairs is a function? {(1,1),(2, 2), (3, 3), (4,4), (5,5)} {(0,0),(1,1),(1, -1),(4,2),(4, -2)} {(2,1),(2,2).(2,3),(2,4),(2,5)} {(1,5).(2.4),(3,3).(2, 2), (1,1)
[tex] \underline{ \underline{ \large{ \red{ \tt{✧ E\: X \: P \: L \: A \: N \: A \: T\: I \:O\: N}}}}} : [/tex]
❀ Here, We are given relation from A to B [ Suppose ] & We have to identify whether they are function or not from the relation A to B.
{ ( 1 , 1 ) , (2 , 2 ) , ( 3 , 3 ) , (4 , 4 ) , ( 5 , 5 )}⇢ This is a function from A to B because every element of Set A has unique image in set B.
{( 0,0 ) , ( 1 , 1 ) , ( 1 , -1 ) , ( 4 , 2 ) , ( 4 , -2 ) }⇢ This is not a function because two of the elements of Set A ( 1 & 4 ) are associated to elements -1 , 1 & 2 , -2 respectively of Set B
{ ( 2 , 1 ) , (2 , 2 ) , (2 , 3 ) , (2 , 4 ) , (2 , 5 )⇢ This is not a function because the element of Set A ( 2 ) is associated to all the elements of Set B.
{ ( 1 , 5 ) , ( 2 , 4 ) , ( 3 , 3 ) , (2 , 2 ) , ( 1 , 1 )⇢ This is not a function because the elements of Set A ( 1 & 2 ) are associated to elements ( 5 , 1 & 4 , 2 ) of Set B respectively.
[tex] \boxed{ \boxed{ \large{ \purple{ \tt{A \: N \: S \: W \: E \: R: \{ ( 1 , 1 ) , (2 , 2 ) , ( 3 , 3 ) , (4 , 4 ) , ( 5 , 5 ) \} }}}}}[/tex]
♨ Q. What is function ? How can we identify whether the given relation is a function ?
⟶Function is a special type of relation. Function is the refinement of relation. In a relation from A to B , every element of Set A has only one ( distinct ) image in B. In other words , if no two different ordered pairs have the same first component , then it is a function.
# STUDY TIP :
♕ Have a hard time memorising ?
Read it 10 times Say it 10 times Write it 2 timesツ Hope I helped! ♡
✎ Let me know if you have any questions!
[tex] ♪ \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning ☄}}}[/tex]
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
The distance between the amusement park and the bus terminal on a map is 2.25 inches. The map uses a scale in which 1 inch represents 15 miles. What is the actual distance between the amusement park and the bus terminal?
Answer:
33.75 miles
Step-by-step explanation:
[tex]\frac{1}{15} :\frac{2.25}{y}[/tex]
1 × y = 2.25 × 15
y = 33.75
ANSWER ASAP DONT SEND A FILE. WHAT IS THE TRANSFORMATION??
Answer:
1st one.
Step-by-step explanation:
Melody's dad brought home a crate of apples he picked from their orchards. The crate contained 10 Granny Smiths, 14 Red Delicious, and 4 Golden Delicious. After replacing the first apple, she took out a second apple. What is the probability of picking a Golden Delicious and then a Granny Smith?
i need the answer options
Step-by-step explanation:
The number of pets is shown for houses on four different streets. Which data set fits a normal distribution curve?
O 3, 5, 4, 3, 4, 5, 4, 3, 4, 5, 3, 4,3,4,5,4,5,5, 4,5
O 2, 1, 4, 5, 3, 2, 1, 2, 3, 5, 6, 4, 5, 2, 2, 3, 4, 5, 2,7
O 0,3, 4, 2, 1, 4, 0,5, 4, 6, 4, 3, 4, 2, 1, 5, 6, 4, 3,5
4, 7, 8, 9, 0, 6, 5, 6, 8, 7, 1, 2, 3, 4, 5,3,4,6,7,7
Answer:65454545
Step-by-step explanation:
3x-2w cuando x = -1 y w = -3
Answer:
3
Step-by-step explanation:
3(-1)-2(-3)
Please help me with this! No links or files please. I'm using a school computer and it doesn't allow it.
Answer:
The location of (-2.5, 2) on the coordinate plane is one block left of -2 and 2 boxes up.
Step-by-step explanation:
Indicate in standard form the equation of the line passing through the given point and having the given slope.
A(5,5), m=3
Answer:
-4,0 -4,0
Step-by-step explanation:
-4,0 -4,0
The diameter of a circular mirror is 20 inches what is the area of the mirror? use 3.14?
Answer:
20/2 = 10
10 squared is 100 (10 x 10)
100 x (pi) = 314.159265359
But if we were to use 3.14 it would be 314