Over which interval is this function continually increasing?
f(x) = 2/3|x - 3| + 2
A. (3, ∞)
B. (-∞, 2)
C. (-∞, 3)
D. (2, ∞)
Answers
The given function is continually increasing at an interval (3, ∞)
What is an interval of a function?An interval is a set of (real) numbers with the property that for every pair of numbers y and z that it contains, it contains also every number between y and z.
Given that, a function f(x) = 2/3|x - 3| + 2
Plot the graph for the function. we get that, the graph is continuously decreasing from ∞ to -3 and continuously increasing in 3 to ∞
Hence, the given function is continually increasing at an interval (3, ∞)
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Related Questions
Determine the slope of a line that is perpendicular to a line with the slope 2/7
Answers
Answer:
-7/2
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals of each other.
To find the reciprocal of a fraction, flip the fraction.
For the negative part, change the sign.
Slope of line: 2/7
Slope of perpendicular line: -7/2
1. Whitney buys a latte in a cylindrical cup that has a cardboard sleeve, so the cup isn't too hot to hold. If the sleeve has a diameter of 9 cm and a height of 5 cm, find the number of square centimeters of the cup covered by the sleeve
Please help immediately!!!
Answers
The number of square centimeters of the cup covered by the sleeve is 141.42 square cm
How to find the number of square centimeters of the cup covered by the sleeveFrom the question, we have the following parameters that can be used in our computation:
Height, h = 5 cm
Diameter, d = 9 cm
This means that the radius, r is
r = 9/2
r = 4.5 cm
Since the sleeve is a cylinder, we can use the formula for the lateral area of a cylinder to calculate the area of the sleeve:
Lateral area = 2 * pi * r * h
So in this case, the lateral area of the sleeve is:
2 * pi * (4.5) * 5 = 141.42 square cm
This is the area of the cup covered by the sleeve.
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the angle of elevation from the tip of a building's shadow to the top of the building is 63 degrees and the distance is 220 feet. find the height of the building to the nearest foot
Answers
The angle of elevation from the tip of a building's shadow to the top of the building is 63⁰. The height of the building is 432 ft.
The tip of the building's shadow, the top of the building, and the base of the building form a right triangle.
Angle of elevation is the angle formed an object is placed above the observer. It is the angle between the the line of sight and the horizontal line.
If we know the angle of elevation and the distance, we can compute the height of the building using trigonometric function.
tan α = y/x
Since it is a right triangle, using the trigonometric formula
height of the building / distance = tan 63⁰
height of the building / 220 = 1.96
height of the building = 220 x 1.96 = 432 feet.
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I really need help with rate of change!!! Please helpppppp
Answers
Answer:
zero
Step-by-step explanation:
You want the rate of change between the points (3, 1) and (4, 1).
Rate of changeThe "rate of change" is also known as the "slope" of the line between the points. That is given by the formula ...
m = (y2 -y1)/(x2 -x1)
For your points, this is ...
m = (1 -1)/(4 -3) = 0/1 = 0
The rate of change is zero.
__
Additional comment
The y-value is constant. That means the equation of the line is y=1, a horizontal line. It does not rise or fall. Its rate of change is zero.
please answer this question attached
Answers
The equation of the line passing through M and perpendicular to PR would be y = -x + 6.
What is the equation of the line?
An equation of a line is a mathematical expression that describes the relationship between the variables x and y that defines the position of a point on the line. There are several ways to write the equation of a line, including slope-intercept form (y = mx + b), point-slope form (y - y1 = m(x - x1)), and standard form (ax + by = c).
The midpoint of a line segment is the point that is exactly halfway between the two endpoints of the line. To find the midpoint of a line segment, you need to take the average of the x-coordinates and the y-coordinates of the two endpoints.
Given the line segment Q(-6, 2) and R(10, 6), the midpoint is:
((-6+10)/2 , (2+6)/2) = (2,4)
So the midpoint of the line segment Q(-6, 2) and R(10, 6) is (2,4).
Now find the slope of PR = 6-(-4)/10 = 10/10=1
Hence, the slope of the line passing through M and perpendicular to PR would be = -1.
Now we can form the equation of the line:
y - 4 = -1(x - 2)
y - 4 = -x + 2
y = -x + 6
Hence, the equation of the line passing through M and perpendicular to PR would be y = -x + 6.
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a normal blood sugar range for someone without diabetes, 2 hours after eating, is less than 140 mg/dl. james is concerned about his health and measures and records his blood sugar 4 times a day for a week. the results are in the boxplot above. what is the minimum blood sugar reading james measured?
Answers
The minimum blood sugar reading that James measured was 92 mg/dl. This is based on the boxplot shown above, which shows the range of blood sugar readings that James recorded over the course of a week.
The boxplot shown above provides a graphical representation of the range of blood sugar readings that James measured over the course of a week. A boxplot is composed of five different components: the minimum, the first quartile (Q1), the median, the third quartile (Q3), and the maximum. The minimum is the lowest value in the dataset, and in this case, it is represented by the lowermost point of the boxplot. This point indicates that the minimum blood sugar reading that James measured was 92 mg/dl. This value is lower than the normal blood sugar range for someone without diabetes, which is less than 140 mg/dl, two hours after eating. This indicates that James's blood sugar levels are within a healthy range.
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If a mechanic rotates the octagonal nut shown clockwise around its center, what is the angle of rotation that will moves position 5 to position 8?
Answers
The angle of rotation that will move the clockwise position of 5 to 8 is 225 degrees.
What is rotation?The circular movement of an item about a center is referred to as rotation. Different forms can be rotated by an angle about their central point. A rotation is a map in mathematics. The rotation group of a certain space is made up of all the rotations that revolve around a fixed point and form a group beneath a structure.
The given nut is in the shape of an octagon.
The total angle of a polygon is 360 degrees.
An octagon has 8 sides, so each rotation of the nut will result in an angle of:
Rotation = 360 / 8
Rotation = 45 degrees.
To move the position of 5 to 8, a total of 5 rotations are required.
Total rotation = (45)(5)
Total rotation = 225 degrees.
Hence, the angle of rotation that will move the position of 5 to 8 is 225 degrees.
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Consider the division of 8y2 – 12y + 4 by 4y. what are the values of a and b? a. a = 2y and b = 3 b. a = y/2 and b = –3y c. a = 2y and b = –3 d. a = 2/y and b = 3y
Answers
Answer: c. a = 2y and b = -3
Step-by-step explanation:
To find the values of a and b in this division problem, we need to perform polynomial division. Starting with the dividend, 8y^2 – 12y + 4, we divide the leading term of the dividend, 8y^2, by the leading term of the divisor, 4y. This gives a quotient of 2y.
Next, we multiply the divisor, 4y, by 2y and subtract it from the dividend, 8y^2 – 12y + 4. This gives a remainder of -3.
So, in this division problem, the values of a and b are a = 2y and b = -3.
The teacher gave a true and false quiz where P(true) = 0.5 for each question. Interpret the likelihood that the first question will be true.
Likely
Unlikely
Equally likely and unlikely
This value is not possible to represent probability of a chance event.
Answers
Answer: Don't trust me on this.
Step-by-step explanation:
I want to say it will be equally unlikely and equally likley, because it's 0.5, which is half. (Tell me if im right.)
Answer the question In the picture.
Concept of limits
Answers
For the trigonometric function lim x→(π/2) tan (x), the RHL and LHL are not equal to f(a), hence the limit does not exist.
What is trigonometric function?
Simply put, trigonometric functions also referred to as circular functions are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle.
The given trigonometric function is -
lim x→(π/2) tan (x)
To find the value of trigonometric function use x = π/2.
First deduce the right hand limit (RHL).
Right Hand Limit = lim h→0^+ tan [(π/2) + h]
= lim h→0^+ -cot h
= lim h→0^+ [(-cot h)/h] × h
= -1 × 0 = 0
Now deduce the left hand limit (LHL).
Left Hand Limit = lim h→0^- tan [(π/2) - h]
= lim h→0^- cot h
= lim h→0^- [(cot h)/h] × h
= 1 × 0 = 0
Thus, LHL = RHL.
Left hand limit = right hand limit = f(a)
If the above condition is satisfied then limit exists.
f(π/2) = lim x→(π/2) tan (x)
= tan (π/2)
= ∞
Left hand limit = right hand limit ≠ f(a)
Therefore, the limit does not exist.
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Compare dilations to rigid motions. How are they the same? How are they different? For each property,
select the transformations that preserve the property.
Answers
Rigid motions and dilations are transformations in Euclidean space. They are both types of transformations that preserve distances and angles.
Similarities between Rigid motions and Dilations:
Both preserve the length of lines and distances between points.
Both preserve angles between lines.
Differences between Rigid motions and Dilations:
Rigid motions are a combination of rotations, translations, and reflections, while dilations are just scaling transformations.
Rigid motions preserve orientation, while dilations change it.
Rigid motions preserve the shape of figures, while dilations change the size of figures but preserve the ratio of lengths of corresponding sides.
Properties and the transformations that preserve them:
Length of lines: Rigid motions and dilations preserve the length of lines.
Distances between points: Rigid motions and dilations preserve distances between points.
Angles between lines: Rigid motions and dilations preserve angles between lines.
Orientation: Rigid motions preserve orientation, while dilations change it.
Shape of figures: Rigid motions preserve the shape of figures, while dilations change the size of figures but preserve the ratio of lengths of corresponding sides.
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EMERGENCY!!! A bank offers two interest-rate options. Option A gives 6% annual interest compounded quarterly. Option B gives 7% annual interest compounded yearly. Charlie wants to deposit his money into an accout for 10 years. He picks the option that will give him more money after 10 years and deposits $10,000. How much more money will Charlie have after 10 years, rounded to the nearest dollar?
Answers
In option B Charlie get more money. So he picks the option B that will give him $700 more after 10 years and deposits $10,000.
A bank offers two interest-rate options.
First we check which option can give more amount after 10 years by solving the options. Then we determine how much more money Charlie will have after 10 years.
Option A gives 6% annual interest compounded quarterly.
There are 4 quarters in a year. So n = 4
So r = 6/4 = 3/2%
The formula of compound interest is
A = P(1 + r/100)^n
From the question P = 10,000, Now putting the value
A = 10000(1 + 3/200)^4
A = 10000(203/200)^4
A = 10000(1.015)^4
A = 10000(1.0614)
A = $10,614
Option B gives 7% annual interest compounded yearly.
r = 7%, P = $10000, n = 1
The formula of compound interest is
A = P(1 + r/100)^n
Now put the values.
A = 10000(1 + 7/100)^1
A = 10000(107/100)
A = 10000 × 1.07
A = $10,700
Now we can see that in option B Charlie get more money.
More Money after 10 years = 10,700 - 10,000
More Money after 10 years = $700
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question is on the picture
Answers
Answer:
C. √5 =2.236.
Step-by-step explanation:
it's the sq root of 2²+1² = 5.
Explanation
We can use the triangle of the two points to use Pythagorean theorem, leg 1 = 1, leg 2 = 2
1^2 + 2^2 = c^2
1 + 4 = c^2
5 = c^2
√ 5 = √ c^2
2.2 = c
The diagonal of the triangle or the length of the line is 2.2
Which is a correct solution for the following system of Inequalities
Answers
The solution for the system of inequalities is (-0.83,-1.34).
What is an inequality?
In algebra, the inequality symbol is used to show how two expressions are related in an inequality assertion. Uneven expressions can be seen on both sides of a sign of inequality.
We are given a graph on which two inequalities are plotted
So, first, we will have to frame the equations from the points.
For the blue line, we have points (0,-3) and (-1.5,0)
So, using slope-intercept form, we get the equation as
y + 2x ≥ -3
For the red line, we have points (-1,-2) and (0,2)
So, using slope-intercept form, we get the equation as
y - 4x ≥ 2
For finding the solution, we will subtract both the equations
On subtracting, we get
⇒(y+2x) - (y-4x) = -3 - 2
⇒y+2x - y + 4x = -5
⇒6x = -5
⇒x = -0.83
Substituting this value in the equation, we get
⇒y+2(-0.83) = -3
⇒y-1.66 = -3
⇒y = -1.34
Hence, the solution for the system of inequalities is (-0.83,-1.34).
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There are 28 students in a class. Fourteen of those students are men.
What percent of the class are men ?
Answers
Answer: 50%
Step-by-step explanation:
If fourteen are men, and there are twenty-eight in the class, then the fraction that are men are -
14/28.
14/28 is 1/2 which is equal to 0.5
0.5 converted to percent is 50%
En una excursión escolar viajaron 120 pasajeros: 1/4 del total: alumnos de 4° año, 1/3 del total: alumnos de 5° año y del resto, 1/5 eran adultos, ¿Cuantos chicos de 4° viajaron? ¿Cuantos chicos de 5° año viajaron? ¿Que fraccion del total de pasajeros representan en conjunto los alumnos de 4° y 5° año que viajaron? ¿Que fraccion del total no son alumnos de 4° ni de 5°? ¿Que fraccion del total de viajeros son adultos? ¿Cuantos adultos viajaron? ¿Cuantos alumnos de 6° viajaron?
Answers
1. Total 30 4th year children travel.
2. Total 40 children from 5th year travel.
3. Total 10 adults travel.
4. Total 40 students from 6th year travel.
5. The fraction of the total number of passengers together represent the students of 4th and 5th years who traveled is 7/12.
6. The fraction of the total does not have students of 4th or 5th is 5/12.
7. The fraction of the total number of travelers are adults is 1/12.
Total passenger = 120
4th year student = 1/4 × 120
4th year student = 30
5th year student = 1/3 × 120
5th year student = 40
Now the remaining passenger
Remaining passenger = Total passenger - (4th year student + 5th year student)
Remaining passenger = 120 - (30 + 40)
Remaining passenger = 120 - 70
Remaining passenger = 50
Adults = 1/5 × 50
Adults = 10
Now the 40 passengers are left that are 6th year students.
Now we determine fraction of the total number of passengers together represent the students of 4th and 5th years who traveled.
Fraction = (4th year student + 5th year student)/Total passenger
Fraction = (30 + 40)/120
Fraction = 70/120
Fraction = 7/12
Now we determine fraction of the total does not have students of 4th or 5th.
Fraction = (Adults + 6th year passenger)/Total Passenger
Fraction = (10 + 40)/120
Fraction = 50/120
Fraction = 5/12
Now we determine fraction of the total number of travelers are adults.
Fraction = Adults/Total Passenger
Fraction = 10/120
Fraction = 1/12
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The complete question is:
In a school excursion 120 passengers travel: 1/4 of the total: 4th year students, 1/3 of the total: 5th year students and the rest, 1/5 are adults.
1. How many 4th year children travel?
2. How many children from 5th year travel?
3. How many adults travel?
4. How many students from 6th year travel?
5. What fraction of the total number of passengers together represent the students of 4th and 5th years who traveled?
6. Which fraction of the total does not have students of 4th or 5th?
7. What fraction of the total number of travelers are adults?
Adam writes a number. The number is greater than 50 and less than 54. What numbers could Adam have written?Explain
Answers
The numbers is greater than 50 and less than 54 are 51, 52 and 53.
Now, According to the question:
A number is an arithmetic value used for representing the quantity and used in making calculations. A written symbol like “3” which represents a number is known as numerals. A number system is a writing system for denoting numbers using digits or symbols in a logical manner.
Adam writes a number.
The number is greater than 50 and less than 54.
Based on the given condition:
A number is > and < .
Then,
51, 52, and 53 are all greater than 50, but less than 54
Hence, The numbers is greater than 50 and less than 54 are 51, 52 and 53.
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Hi,please help ! (see image!)
Answers
The following algebraic expressions are factorized using their highest common factor HCF:
a) x² - 2x = x(x - 2)
b) 6x² + 12x = 6x(x + 2)
c) 3x³ - 9x = 3x(x² - 3)
d) 4x² + 28x³ = 4x²(1 + 7x)
What is HCFThe H.C.F. defines the highest common factor present in between given two or more numbers or mathematical expression.
x² and 2x have HCF as x such that;
x² - 2x = x × x - 2 × x
x² - 2x = x(x - 2)
6x² and 12x have HCF as 6x such that;
6x² + 12x = x × 6x + 2 × 6x
6x² + 12x = 6x(x + 2)
3x³ and 9x have HCF as 3x such that;
3x³ - 9x = x² × 3x - 3 × 3x
3x³ - 9x = 3x(x² + 3)
4x² + 28x³ have HCF as 4x² such that;
4x² + 28x³ = 1 × 4x² + 7x × 4x²
4x² + 28x³ = 4x²(1 + 7x)
Therefore, the algebraic expressions are factorized using their highest common factor HCF to be:
a) x² - 2x = x(x - 2)
b) 6x² + 12x = 6x(x + 2)
c) 3x³ - 9x = 3x(x² - 3)
d) 4x² + 28x³ = 4x²(1 + 7x)
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A local pizza shop has a membership program for frequent buyers. The membership costs $20 per month and members get a discounted price of $1.25 per slice of pizza. Jaya purchased a membership to this pizza shop. How much would Jaya have to pay the pizza shop if she bought 16 slices of pizza this month? What would be the monthly cost for
�
x slices of pizza?
Answers
Answer:
Step-by-step explanation:
a couple slices of pizza
Factor the expression completely. x^3 y^4 −x^4 y^4
Answers
The algebraic expression x³y⁴ - x⁴y⁴ is factorized to be x³y⁴(1 - x) using their highest common factor HCF
What is HCFThe H.C.F. defines the highest common factor present in between given two or more numbers or mathematical expression.
The two terms x³y⁴ and x⁴y⁴ of the algebraic expression x³y⁴ - x⁴y⁴ have their highest common factor to be x³y⁴ such that:
x³y⁴ × 1 = x³y⁴
x³y⁴ × x = x⁴y⁴
and
x³y⁴ - x⁴y⁴ = x³y⁴ × 1 - x³y⁴ × x
x³y⁴ - x⁴y⁴ = x³y⁴(1 - x)
Therefore, the algebraic expression x³y⁴ - x⁴y⁴ is factorized to be x³y⁴(1 - x) using their highest common factor HCF
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oshua is 12 years old and his sister is three times as old as he. when joshua is 23 years old, how old will his sister be?
Answers
His sister will be 47 years old.
Now, According to the question:
To find Joshua's sisters age when Joshua is 23 years old. We are given that Joshua is currently 12 years old and that his sister is three times as old as he is.
3 × 12 = 36
We have that his sister's current age is 36 years old.
We want to know how old she will be when Joshua is 23 years old. Since Joshua is currently 12 years old,
23 - 12 = 11
We have that in 11 years, Joshua will be 23 years old.
So we want to know what his sister's age will be in 11 years.
To find this, we simply add 11 to her current age of 36.
36 + 11 = 47
We get that in 11 years, his sister will be 47 years old, so when Joshua is 23 years old, his sister will be 47 years old.
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How do you write 310% as a
fraction or mixed number?
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Looking for improper or mixed fraction:}[/tex]
[tex]\mathsf{310\% \rightarrow \dfrac{310}{100} \rightarrow 3.1}[/tex]
[tex]\mathsf{\rightarrow 3.1 \times \dfrac{10}{10}}[/tex]
[tex]\mathsf{\rightarrow \dfrac{3.1}{1}\times\dfrac{10}{10}}[/tex]
[tex]\mathsf{\rightarrow \dfrac{3.1\times10}{1\times10}}[/tex]
[tex]\mathsf{\rightarrow \dfrac{31}{10}}[/tex]
[tex]\mathsf{\rightarrow 3 \dfrac{1}{10}}[/tex]
[tex]\huge\text{Therefore, your answers should be:}[/tex]
[tex]\huge\boxed{\mathsf{Fraction \rightarrow \dfrac{310}{100}\ \& \ Mixed\ Number \ \rightarrow 3\dfrac{1}{10}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Please help
Nancy purchased a hot tub at a total price of $6995.
She made a $1200 down
payment and financed the rest at 10. 4% compounded monthly.
Nancy can repay
the loan in 36 months or 48 months.
How much interest will Nancy save is she
repays the loan in 36 months instead of 48 months?
Answers
First, we need to calculate the remaining balance after the down payment of $1200. The remaining balance is: $6995 - $1200 = $5795
To calculate the total interest for 36 months, we can use the formula:
I = P * r * t
Where:
I = total interest
P = remaining balance ($5795)
r = interest rate (10.4%/12)
t = number of months (36)
So the total interest for 36 months would be:
$5795 * (0.104/12) * 36 = $2,199.40
To calculate the total interest for 48 months, we can use the same formula but with a different value for t (48 months):
$5795 * (0.104/12) * 48 = $2,932.80
To find out how much Nancy will save by repaying the loan in 36 months instead of 48 months, we can subtract the total interest for 36 months from the total interest for 48 months:
$2,932.80 - $2,199.40 = $733.40
So, Nancy will save $733.40 in interest if she repays the loan in 36 months instead of 48 months.
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Alegría va a la tienda a comprar arroz y azúcar, pero solo tiene $ 20. Si cada libra de arroz cuesta $ 0,60 y de azúcar cuesta $ 0,80, ¿cuántas libras de cada una le alcanza para comprar?.
a. Escriba por lo menos 4 pares ordenados, que cumplan con la condición
b. Realice la gráfica
Answers
1. At least 4 ordered pairs that comply with the conditions are (0, 25), (6, 20.5), (12, 16) and (16, 13)
2. Graph is drawn according to the points and equation which is given below.
Alegria have total money $20.
The cost of one pound rice = $0.60
The cost of one pound sugar = $0.80
Let Algeria buy x pound rice and y pound sugar.
So the total cost of x pound rice is 0.60x.
The total cost of y pound sugar is 0.80y.
Now the required equation is:
0.60x + 0.80y = 20
Now we find the values buy putting the values as x = 1, 2, 3, ...
x 0 6 12 16
y 25 20.5 16 13
The graph of the values are given below:
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The complete question is:
Alegria goes to the store to buy rice and sugar, but only has $ 20. If each pound of rice costs $ 0.60 and sugar costs $ 0.80, how many pounds does each pound cost to buy?
a. Write at least 4 ordered pairs that comply with the condition
b. Realize the graphics.
Let us assume that you started a job on 08/21/2019. You graduated on 05/20/2022. How many days have you been working at the job as a student?Group of answer choices121512879051003
Answers
I began my job as a student on 08/21/2019 and worked for a total of 905 days until my graduation on 05/20/2022. This is calculated by taking the total number of days between the start and end date - 3 years - which is 1095, and then subtracting the weekends and holidays - 190 days - during that period. This demonstrates my commitment to my job as a student.
08/21/2019 - 05/20/2022
= 3 years
= 1095 days
- 190 days (weekends and holidays)
= 905 days
Starting on 08/21/2019, I have been working at my job as a student for 905 days as of 05/20/2022. This is determined by taking the total number of days - 3 years - between the start date and end date, which is 1095 days, and then subtracting 190 days for the weekends and holidays during that period. This leaves me with 905 days of work as a student.
I began my job as a student on 08/21/2019, and my graduation was on 05/20/2022. After calculating the total number of days between the two dates - 3 years - which is 1095, and then subtracting the weekends and holidays during that period - 190 days - I have worked as a student for 905 days up until my graduation date. This demonstrates the commitment and dedication I had to my job as a student.
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X-braces are also used to provide support in rectangular fencing. If AB=6 feet, AD=2 feet, and m∠DAE=65° , find m∠EDC . Round to the nearest tenth, if necessary.
Answers
The measure of angle m∠EDC = 25°, round to the nearest tenth.
Explain the term isosceles triangle?Any triangle with (in least) two equivalent sides is said to be isosceles. The remaining side in the illustration has length in addition to the two equal sides. This characteristic equates to the triangle's two angles being equal.Therefore, an isosceles triangle has two equal sides as well as two equal angles.For the given question
AB=6 feet, AD=2 feet, and m∠DAE=65° ,As the both diagonal of the rectangle are equal.
ΔAED is isosceles triangle.
Then,
m∠ADE = m∠DAE = 50°
As all 4 angles of the triangle are equal.
m∠EDC = 90 - m∠ADE
= 90 - 65
m∠EDC = 25°
Thus, the measure of the angle m∠EDC = 25°, round to the nearest tenth.
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The diagram for the question is attached.
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Allan would need to sell 427 boxes to make 1600 dollars in total sales. The number line representation of the number of boxes sold is 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ..............., 1600].
What is the mathematical value of Y?A pair of coordinates’ vertical value. How high or low the point is. In an ordered pair of coordinates (x,y), the Y Coordinate is always written second, as in (12,5). In this case, the Y Coordinate is “5”. Also known as “Ordinate” Pick x and solve the equation for y to locate points on the line y = mx + b, or choose y and solve for x.
When you know the slope of the line to be investigated and the point supplied is also the y intercept, you may utilize the slope intercept formula y = mx + b. (0, b). The y value of the y intercept point is represented by b in the formula. Exemplification 2: Determine the equation.
In the given question,
a. The point on the graph that represents 1600 dollars in total sales is (427, 1600).
b. Allan would have to sell 427 boxes to make 1600 dollars in total sales.
c. The number line representation of the number of boxes sold when the total sales is equal to 1600 dollars would be:
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ................., 1600].
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a population is a. always the same size as the sample. b. the same as a sample. c. the collection of all items of interest in a particular study. d. the selection of a random sample.
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The population is the entire set of individuals or items of interest in a particular study, and it is not necessarily the same size as the sample which is a subset of the population.
Population is a term used to refer to the entire set of individuals or items that are of interest in a particular study. Population size is not necessarily the same as sample size. Sample size is the number of individuals or items that are selected from the population to participate in the study. The sample may be selected randomly, or it may be selected based on specific criteria. When collecting data, researchers use the sample as a representation of the population in order to identify patterns, relationships, and trends that can be used to make inferences about the population. When constructing a sample, it’s important to make sure that it is random and representative of the population, otherwise the results of the study may be biased.
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what is the dependent variable? what is the independent variable in this study? a. calorie resctrition b. weight loss c. randomized control trial d. body composition
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A dependent variable is the variable that being check in a scientific experiment.
The dependent variable is "dependent" on the other independent variable. As the experimenter alter the independent variable, the change in the dependent variable is observed and recorded. When you take data in an experiment, the dependent variable is the one being advised.
A scientist is testing the effect of light and dark on the efforts of moths by turning a light on and off. The independent variable is the amount of light and the moth's reply is the dependent variable.
A change in the independent variable (total amount of light) straight source a change in the dependent variable (moth behavior).
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(a) how many paths are there from the point (0, 0) to the point (110, 111) in the plane such that each step either consists of going one unit up or one unit to the right? (b) how many paths are there from (0,0) to (210, 211), where each step consists of going one unit up or one unit to the right, and the path has to go through (110, 111)?
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(a) The number of pathways in the plane from point (0, 0) to point (110, 111) when each step consists of walking one unit up or one unit to the right is known as the number of ways to go to a point in a grid using just right and up moves.
This is a classic combinatorial problem known as a binomial coefficient. The binomial coefficient C(110+111, 110) = C(221, 110) = 221!/(110!111!) is the number of ways to travel from (0, 0) to (110, 111).
(b) The number of paths from (0, 0) to (210, 111) where each step consists of walking one unit up or one unit to the right and the path must pass through (110, 111) is the product of two binomial coefficients.
First, as calculated in section 1, the number of pathways from (0, 0) to (110, 111) is C(110+111, 110) = C(221, 110). Second, there are C(210+211, 210) ways to get from (110, 111) to (210, 111). (210, 211). (421, 210). C(221, 110) * C is the total number of paths found by multiplying these two binomial coefficients (421, 210).
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