The derivative at x = 3 does not exist.
To see why, recall the definition of absolute value:
\(|x| = \begin{cases}x&\text{if }x\ge0\\-x&\text{if }x<0\end{cases}\)
If x - 3 ≥ 0, then
2 + |x - 3| = 2 + (x - 3) = x - 1
and the derivative of this piece is 1 for all x > 3.
If x - 3 < 0, then
2 + |x - 3| = 2 - (x - 3) = 5 - x
and its derivative is -1 for all x < 3.
The derivatives to either side of x = 3 are not the same, so f '(x) is not continuous and indeed does not take on any value at this point.
Multiplying binomials please help ASAP(10 points)
Step-by-step explanation:
hope it helped you:)
have a nice day!
0 is an angle in a right-angled triangle. tan 0 = 23/52 What is the value of 0? Give your answer in degrees to 1 d.p.
The value of the angle θ is approximately 24.2 degrees to 1 decimal place.
In a right-angled triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Given that tan θ = 23/52, we can find the value of the angle θ.
To find the value of θ, we can use the inverse tangent or arctan function. Taking the inverse tangent of both sides of the equation, we have:
θ = arctan(23/52)
Using a calculator or trigonometric tables, we can evaluate the inverse tangent of 23/52. The result is approximately 24.2 degrees.
Note that in the context of a right-angled triangle, the tangent function is defined for acute angles (less than 90 degrees). Since 0 degrees is the smallest possible angle, it is considered an acute angle in this case.
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A 4-sided polygon is classified as a quadrilateral.
True
False
Answer:
TRUEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
find the measure of each triangle
Answer:
I'm sorry, but I cannot answer this question without additional information. In order to find the measure of each triangle, we need to know which angles or sides of the triangle are given. Please provide more details about the problem, including any given measurements or values.
Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D′E′F′G′H′I′: Hexagon DEFGHI and Hexagon D prime E prime F prime G prime H prime I prime on the coordinate plane with ordered pairs at D 2, 5, at E 5, 5, at F 6, 3, at G 5, 1, at H 2, 1, at I 1, 3, at D prime negative 6, negative 2, at E prime negative 3, negative 2, at F prime negative 2, negative 4, at G prime negative 3, negative 6, at H prime negative 6, negative 6, at I prime negative 7, negative 4
Answer: To find the image of a figure under a translation, you need to apply the same translation to every point in the figure.
In this case, the image of hexagon DEFGHI is hexagon D′E′F′G′H′I′. To find the image of each point, you can apply the translation that maps point D to point D′.
For example, to find the image of point E under the translation, you can apply the same translation that maps point D to point D′:
Point D is located at (2, 5).
Point D′ is located at (-6, -2).
The translation that maps point D to point D′ is a translation 6 units to the left and 2 units down.
To find the image of point E under this translation, you can apply the same translation to point E:
Point E is located at (5, 5).
The image of point E is located at (5 - 6, 5 - 2) = (-1, 3).
You can follow the same process to find the images of the other points under the translation.
Alternatively, you can use the coordinates of point D and point D′ to find the translation vector that describes the translation. The translation vector is a displacement that describes the change in position of a point under the translation.
In this case, the translation vector is given by the displacement from point D to point D′:
Point D is located at (2, 5).
Point D′ is located at (-6, -2).
The translation vector is given by the displacement (-6 - 2, -2 - 5) = (-8, -7).
To find the image of any point under the translation, you can add the translation vector to the coordinates of the point. For example, to find the image of point E under the translation, you can add the translation vector to the coordinates of point E:
Point E is located at (5, 5).
The translation vector is (-8, -7).
The image of point E is located at (5 - 8, 5 - 7) = (-3, -2).
You can follow the same process to find the images of the other points under the translation.
Step-by-step explanation:
Solve the equation 1/3 (x + 1) +2x =2
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Let's solve your equation step-by-step.
\(\frac{1}{3} (x+1)+2x=2\)
Step 1: Simplify both sides of the equation.
\(\frac{1}{3} (x+1)+2x=2\)
\((\frac{1}{3}) (x) + (\frac{1}{3} ) (1) + 2x = 2\) (Distribute)
\(\frac{1}{3} x + \frac{1}{3} + 2x = 2\)
\(( \frac{1}{3} x + 2x ) + (\frac{1}{3}) = 2\) (Combine Like Terms)
\(\frac {7}{3} x + \frac{1}{3} = 2\\\frac{7}{3} x + \frac{1}{3} = 2\)
Step 2: Subtract 1/3 from both sides.
\(\frac{7}{3} x + \frac{1}{3} - \frac{1}{3} = 2 - \frac{1}{3} \\\\\frac{7}{3} x = \frac{5}{3}\)
Step 3: Multiply both sides by 3/7.
\(( \frac{3}{7} ) * (\frac{7}{3}x) = ( \frac{3}{7}) * \frac{5}{3} \\\\x = \frac{5}{7}\)
So the answer is : \(x = \frac{5}{7}\)
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
Suppose stop lights at an intersection alternately show green for one minute, and red for two minutes (no yellow). Suppose a car arrives at the lights at a time distributed uniformly from 0 to 3 minutes. Let X be the delay of the car at the lights (assuming there is only one car on the road). E(X) is: a. none of the choices given b. 3/8
c. 1/4
d. 2/3
The expected value of the car representing the delay of the car at one of the light as per distribution of time is given by option d. 2/3.
For the probability density function of X.
Divide the interval from 0 to 3 minutes into three sub-intervals,
The first minute, during which the car will pass the intersection if the light is green.
The second minute, during which the car will be delayed by one minute if the light is red.
The third minute, during which the car will be delayed by two minutes if the light is red.
The probability of the car arriving during the first sub-interval is 1/3.
If the light is green, the car will pass immediately with no delay.
If the light is red, the car will be delayed by one minute.
So the probability density function of the delay during this sub-interval is,
f(x) ={ 1/3, if 0 ≤ x ≤ 1
0, otherwise }
Probability of the car arriving during the second sub-interval is also 1/3.
If the light is red, the car will be delayed by one minute.
If the light is green, the car will be delayed by two minutes.
So the probability density function of the delay during this sub-interval is,
f(x) = { 1/6, if 1 ≤ x ≤ 2
1/3, if 2 ≤ x ≤ 3
0, otherwise }
Probability of the car arriving during the third sub-interval is also 1/3.
If the light is red, the car will be delayed by two minutes.
If the light is green, the car will be delayed by three minutes.
But since the car cannot wait for more than three minutes, the delay during this sub-interval is bounded by 2 minutes.
So the probability density function of the delay during this sub-interval is,
f(x) = { 1/6, if 2 ≤ x ≤ 3
0, otherwise }
Now,
calculate the expected value of X by integrating the product of the delay and the probability density function over the entire range of possible delays
E(X) = \(\int_{0}^{3}\) x f(x) dx
= \(\int_{0}^{1}\)0 dx + \(\int_{1}^{2}\) x (1/6) dx + \(\int_{2}^{3}\) x(1/6) dx
= (1/6)(1/2) [(2^2 - 1^2) + (3^2 - 2^2)]
= (1/12) [ 3 + 5 ]
= 8/12
= 2/3
Therefore, the expected value of the delay of the car at the light is equal to option d. 2/3.
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The Happy Hacker electronics warehouse purchases 460 USB flash drives, which are then packed in sets of four selling for $24.95 per set. Calculate the total income from the sale of these flash drives.
Answer:
2869.25
Step-by-step explanation:
What is an equation of the line that passes through the point (6,-4) and isperpendicular to the line 22 - y = 5?
1.3 Do Activity 1.4.1 from your Study Guide. Give a concise account (do not copy and paste) of the main points of the principle of "Caring about the development of students' mathematical proficiency". (6)
The principle of "Caring about the development of students' mathematical proficiency" is a vital component of the teaching process.
As a teacher, you must be concerned about your student's growth in mathematics to support their success in the subject. The main points of this principle are as follows:
1. Supporting Students: The teacher must strive to provide effective support for each student's learning, based on their needs.
2. Encouraging Students: The teacher should encourage students to improve their proficiency in mathematics and support their learning by providing suitable opportunities for them.
3. Problem-Solving Skills: Teachers must help students develop problem-solving skills to tackle challenging mathematical problems.
4. Feedback and Assessment: The teacher must provide timely feedback and assessment to support the student's growth in mathematics. This feedback should be constructive and should aid in the student's development of mathematical proficiency.
5. Encouraging Student Reflection: The teacher should encourage students to reflect on their learning experiences to recognize areas where they need more support. The development of a student's mathematical proficiency should be the focus of a teacher's teaching, learning, and assessment practices.
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Questions 16. Santhosh and Co. Chennai, opened a branch at Trichy on 1.1.2018. The following Information relate to the branch for the year 2018.
40,000
36,000
9,000
7200
3,600
30,000
16,200
300
3,000
Prepare branch account to find out the profit or loss of branch. Santosh & Co, Chennai opened its branch in Trichy on 1.1.2018. The action for 2018 is as follows
Credit sales at branch
Office expenses by Head office
Cash remittance to branch for petty cash Stock 31.12.2018
Goods sent to Branch
Salaries paid by head office
Debtors 31.12.2018
Petty cash on 31.12.2018
Cash sales at branch
of
The preparation of the branch's income statement for Santosh & Co. Chennai is as follows:
Branch of Santosh & Co. Chennai
Income StatementFor the year ended December 31, 2018
Sales revenue $40,300
Cost of goods sold 4,200
Gross profit $36,100
Expenses:
Office expenses $36,000
Salaries 3,600
Total expenses $39,600
Loss $3,500
What is an income statement?An income statement is a financial statement prepared at the end of an accounting period to determine the profit or loss generated by a business or branch.
The profit or loss is the difference between the total revenue and the total expenses for the accounting period.
Credit sales at branch 40,000
Office expenses by Head office 36,000
Cash remittance to branch for petty cash 9,000
Goods sent to Branch 7,200
Salaries paid by head office 3,600
Debtors 31.12.2018 30,000
Petty cash on 31.12.2018 16,200
Cash sales at branch 300
Stock of 31.12.2018 3,000
Sales revenue $40,300 ($40,000 + $300)
Cost of goods sold $4,200 ($7,200 - $3,000)
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Select the choice that represents the two-variable
equation after it has been solved for x in terms of y.
2y - 3x = 0
The two variable equations when solved for x in terms of y is given as the equation y = 3x/2, and option A is the correct answer.
What are equations?A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13. Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero.
The given equation is:
2y - 3x = 0
Add 3x on both sides of the equation:
2y -3x + 3x = 3x
2y = 3x
Divide both sides of the equation with 2:
2y / 2 = 3x / 2
y = 3x/2
Hence, the two variable equations when solved for x in terms of y is given as y = 3x/2, and option A is the correct answer.
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The correct question is:
Question 7 of 20:
Select the best answer for the question.
7. Percent means "per
O A. 100
OB. 1000
O C. 1
O D. 10
11
K
OMark for review (Will be highlighted on the review p
Whole page for 81! Good luck!
Answer:
Prime number: A prime number has factor of only 1 and itself.
Ex: 3: 1 and 3 are the only ways to compose 3.
A whole number that has factors other than 1 and itself is called a composite number.
Ex: 8: the factors of 8 include 1,2,4,8
Circle 5,7,2,19,3,11
Box 18,20,22,16,15,30,26,38,45,10,21,6,14
To determine the prime factorization of a number, you must break down a number into its factors. (im not sure?)
Continute until all of the factors are (im not sure)
Prime factorization is written exponential form (im not quite sure)
30= 2x3x5
30= 2^1 3^1 5^1
24=2 × 2 × 2 × 3
24= 2^3 x 3
sorry idrk if they are all right
Study this table.
x
y
–3
–2
–2
0
0
4
4
12
Which best describes the function represented by the data in the table?
linear with a common ratio of 2
linear with a common first difference of 2
quadratic with a common ratio of 2
quadratic with a common first difference of 2
Find the volume of a cone with radius 5 yards and height 8 yards. Round your answer to two
decimal places
The volume of a cone will be 209.41 yard³.
What is volume of cone?
The area or volume that a cone takes up is referred to as its volume. Cones are measured by their volume in cubic units such as cm3, m3, in3, etc. By rotating a triangle at any of its vertices, a cone can be created. A cone is a robust, spherical, three-dimensional geometric figure.. Its surface area is curved. The perpendicular height is measured from base to vertex. Right circular cones and oblique cones are two different types of cones. While the vertex of an oblique cone is not vertically above the center of the base, it is in the right circular cone where it is vertically above the base.
So the
V = (1/3)πr²h.
Given, data r = 5yards
h = 8 yards
Volume = 1/3 * π * r ²* h
= 1/3 * 3.141*25*8
=209.41 yard³
Hence, the volume of a cone will be 209.41 yard³.
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find x and y
pls help
Step-by-step explanation:
(3x+6)= 48(Alternate angles)
3x=48-6
3x=42
x=14
2y+48=5y-9 (Sum of two opposite interior angles= exterior angle)
48+9=5y-2y
57=3y
y=19
How can you tell if an element has been oxidized?
A. Its oxidation state has not changed in the reaction.
B. Its oxidation state is higher in the product than in the reactant
C. Its oxidation state is lower in the product than in the reactant.
D. It has a negative oxidation state in the product.
Step-by-step explanation:
B. Its oxidation state is higher in the product than in the reactant
The perimeter of the rectangle below is 76 units. Find the value of y.
The solution is : the value of y is 7.
Here, we have,
The perimeter of a rectangle is found by
P = 2 (l+w)
P = 2( 3y+3+2y)
Combine like terms
P = 2(5y+3)
We know the perimeter is 76
76 = 2(5y+3)
Divide each side by 2
76/2 = 2/2(5y+3)
38 = 5y+3
Subtract 3 from each side
38-3 = 5y+3-3
35 = 5y
Divide each side by 5
35/5 = 5y/5
7 =y
We want the length of AD = BC = 2y
AD = 2y=2*y = 14
Hence, The solution is : the value of y is 7.
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The experimental probability that Amir will make a basket is 0.4. The experimental probability that Juju will make a basket is 0.6. If Amir and Juju each shoot 150 baskets, about how many more baskets will Juju be expected to make?
Answer:
30 baskets
Step-by-step explanation:
The experimental probability Pa that Amir will make a basket is 0.4;
Pa = 0.4
the experimental probability Pj that juju with make the same basket is 0.6;
Pj = 0.6
Total number of shoot Nt = 150
Number of basket Amir will make is;
Na = Pa × Nt
Na = 0.4 × 150
Na = 60 basket
Number of basket juju will make is;
Nj = Pj × Nt
Nj = 0.6 × 150
Nj = 90 basket
Answer:30
Step-by-step explanation:
You are buying shoes online. The selling price is $29.99. The sales tax is 6.5% What is the total cost? Round to the nearest penny, if necessary.
Answer:
$31.94
Step-by-step explanation:
29.99 x 0.065 = 1.95
29.99 + 1.95= 31.94 :)
Answer:
$31.94
Step-by-step explanation:
-10 + 10у + -3y +7
DOES ANYONE KNOW THE ANSWER????????????
Answer:
The answer is 30.
Step-by-step explanation:
Don't worry about the x and y it just make your head confuse, that's what my teacher said just add up the number.
NO LINKS!! Please help me with this problem. Find all points on the x-axis that are a distance 5 from P(-8,4)
Answer:
\((x,y)=\left(\; \boxed{-11,0}\; \right)\; \textsf{(smaller $x$-value)}\)
\((x,y)=\left(\; \boxed{-5,0}\; \right)\; \textsf{(larger $x$-value)}\)
Step-by-step explanation:
\(\boxed{\begin{minipage}{4 cm}\underline{Equation of a circle}\\\\$(x-a)^2+(y-b)^2=r^2$\\\\where:\\ \phantom{ww}$\bullet$ $(a, b)$ is the center. \\ \phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)
The points that are a distance of 5 units from P(-8, 4) will be all the points on the circumference of a circle with center (-8, 4) and radius 5.
Substitute the center and radius into the formula to create an equation of the circle:
\(\implies (x+8)^2+(y-4)^2=25\)
The y-value of any point on the x-axis is zero.
Therefore, to find the points on the x-axis that are 5 units from point P, substitute y = 0 into the equation of the circle and solve for x:
\(\implies (x+8)^2+(0-4)^2=25\)
\(\implies (x+8)^2+(-4)^2=25\)
\(\implies (x+8)^2+16=25\)
\(\implies (x+8)^2+16-16=25-16\)
\(\implies (x+8)^2=9\)
\(\implies \sqrt{(x+8)^2}=\sqrt{9}\)
\(\implies x+8=\pm3\)
\(\implies x+8-8=\pm3-8\)
\(\implies x=-8\pm3\)
\(\implies x=-11, x=-5\)
Therefore:
\((x,y)=\left(\; \boxed{-11,0}\; \right)\; \textsf{(smaller $x$-value)}\)
\((x,y)=\left(\; \boxed{-5,0}\; \right)\; \textsf{(larger $x$-value)}\)
if you multiply the number of cars in the parking lot by 4 there would be 32 cars how many cars are in the lot?
Answer:
8
Step-by-step explanation:
there would be 8 cars in the parking lot
how do you get people to answer your question? If this wasnt about asking how to get people to answer your question and instead was something like a math problem or multiple choice, what could i say or do to get more people if there is a way that you use ldk.
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Answer:
Uhm..
Step-by-step explanation:
I just keep it up and watch and then ramdom people answer.
Like you just have to wait for someone to answer. That is what I do And if it does not help I put it up again.
Two parallel lines are crossed by a transversal.
What is the value of d?
The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.
What is a Transversal?In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.
The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.
Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°
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A recent survey points to the transformation underway in the automotive retail landscape. A study found that automobile executives believe the number of physical automotive retail outlets, as we know them today, will be reduced by 30% to 50%. Eighty-two percent of automobile executives strongly agree that the only viable option for physical retail outlets will be the transformation into service factories, used car hubs, or focusing on an ID-management approach, where the customer is recognized at every single touchpoint. What additional information would you want to know about the survey before you accepted the results of the study?
The additional information would you want to know about the survey before you accepted the results of the study will be:
What sampling design was used?What was the population from which the design was selected?What was the response rate?How to illustrate the information?In research of human subjects, a survey is a list of questions aimed for extracting specific data from a particular group of people.
Surveys may be conducted by phone, mail, through the internet or in malls. From the information, a recent survey points to the transformation underway in the automotive retail landscape.
It is important to know the sampling design that was used, the population from which the design was selected and the response rate.
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A candy distributor needs to mix a 40% fat-content chocolate with a 60% fat-content chocolate to create
100 kilograms of a 46% fat-content chocolate. How many kilograms of each kind of chocolate must they
use?
Answer: They must mix
Kilograms of the 40% chocolate and
Kilograms of the 60% chocolate.
what's the estimate of 1925 × 7
Answer:
13,500
Step-by-step explanation:
1925 x 7 = 13,475
13,475
5 and up means round up so we start at the ones place.
13,500
Hopefully this helps you :)
pls mark brainlest ;)
h(x) = x + 1 k(x) = x - 2 (h + k)(2) =
\(h(x) = x + 1\)
\(k(x) = x - 2\)
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\((h + k)(x) = h(x) + k(x)\)
\((h + k)(x) = (x + 1) + (x - 2) \\ \)
\((h + k)(x) = x + 1 + x - 2\)
\((h + k)(x) = 2x - 1\)
\((h + k)(2) = 2(2) - 1\)
\((h + k)(2) = 4 - 1\)
\((h + k)(2) = 3\)
_________________________________
And we're done.....♥️♥️♥️♥️♥️
Answer:it’s 5
Step-by-step explanation:
because it is