Answer: Choice C
Yes, holidays are a subset and proper subset of the calendar year.
=========================================================
Explanation:
The set of days in the calendar year spans from Jan 1st to Dec 31st.
The set of holidays is a small subset of the previous set mentioned. Any holiday is found on the calendar, but not every day on the calendar is a holiday.
------------
Here's another example of a subset
A = set of all animals
B = set of dogs
Set B is a subset of set A because any dog is an animal. In other words, any individual in set B is also in set A, but not the other way around.
------------
Going back to the calendar example, the set of holidays is a subset and it's also a proper subset of all the days in the year. We say that set B is a proper subset of set A if B has less items in it compared to A.
If we had these two sets
A = {1,2,3,4,5,6}
B = {1,2,3}
We can see that B is a proper subset of set A since everything in B is found in A, and B is smaller than A. The only time we have a subset and not a proper subset is when we talk about the set itself. Any set is a subset of itself (not a proper subset of itself).
The True statement is
Yes, holidays are a subset and proper subset of the calendar year.
What is Set?Sets are represented as a collection of well-defined objects or elements that are consistent from one person to the next. A capital letter represents a set. The cardinal number of a set is the number of items in a finite set.
The order of a set determines the number of elements in the set. It refers to the size of a set. The order of the set is often referred to as the cardinality.
The set of days in the calendar year spans from Jan 1st to Dec 31st.
The set of holidays is a subset of the previously described set. Any holiday can be found on the calendar, however not every day is a holiday.
let Set B is a Proper subset of set A if it contains fewer elements than A.
So, A = {1,2,3,4,5,6}
B = {1,2,3}
We can see that B is a proper subset of set A since everything in B is found in A, and B is smaller than A.
So, holidays are a subset and proper subset of the calendar year.
Learn more about Set here:
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1. Identify the following numbers as rational or irrational.
a. -15.4
b. 27/5
c. 0.99999....
d. V
Given that a²+b²=34 and ab=15 , find the value of (a+b²).
Answer:
The numbers are 3 and 5
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
3^2=9
5^2=25
25+9=34
3*5=15
Answer:
64
Step-by-step explanation:
(a+b)²= a²+b²+2ab = 34+(2×15)= 64
Evaluate: 5 + 2 • 42?
5 + ( 2 × 42 ) =
5 + 84 =
89
.....
.....
Answer:
89
Step-by-step explanation:
So we will follow PEMDAS in this exact order:
P- Parentheses
E- Exponents
M- Multiplication
D- Division
A- Addition
S- Subtraction
5 + 2 • 42 Equation
5 + (2 • 42) We have no parentheses or exponents so we move on to multiplication
5 + 84 We have no division so we move on to addition
= 89 We have no subtraction so this is our final answer
If 120 learners took an examination, passes to fail is 17:3 : what percentage of learners passed
Answer:
85%
Step-by-step explanation:
First, let's add up the ratios and use it to divide 120. That way we can find out how many people each ratio is.
17 +3 = 20
120/20 = 6
Each individual ratio is equal to 6.
17 * 6 = 102
3 * 6 = 18
102/120 = percentage of who passed
= 0.85
85 percent of learners passed.
Seven-ninths of the students surveyed like to participate in extra curricular activities after school. Which decimal is equivalent to the fraction of students
who like to participate in activities after school?
O 0.7
0.7
0.78
O 0.79
Answer:
0.7
Step-by-step explanation:
7/9 = 0.7
Answer:
0.7 (with the repeating sign on the 7)
Step-by-step explanation:
Which function is a quadratic function?
O p(x) = 2x(x2 + 6) + 1
m(x) = -4(x + 3) - 2
Ot(x) = -8x²(x2 – 6) + 1
Oh(x) = 3x(x - 2) - 4
What's the distance between the two points (0,-2) and (0,-9)
Find the measure of the angle indicated. PLSASE HELP !!!!
Answer:
Step-by-step explanation:
3x + 4 + 8x + 4 = 140 degree (sum of two interior opposite angle is equal to the exterior angle formed)
11x + 8 = 140
x = 140 - 8
x = 132 /11
x = 12
angle S = 3x + 4
=3*12 + 4
=36 + 4
=40 degree
89 + 5x - 7 = 14x + 1
82 + 5x = 14x + 1
82 - 1 = 14x - 5x
81 = 9x
81/9 = x
9 = x
angle H = 5x - 7
=5*9 - 7
=45 - 7
=38 degree
Answer:
15. <SRJ+<SRT=180 (BEING IN A STRAIGHT LINE)
140+<SRT=180
<SRT=40
NOW
<SRT+<STR+<RST=180
40+8X+4+3X+4=180
11X=132
X=12
SUBSTITUTING THE VALUE OF X IN <RST
3*12+4=40
HENCE,<S=40 DEGREE
SIMILARLY,
16.
<H=38 DEGREE
Subtract the second equation from the first. 4x+3y = 17 (4x + y 9)
A. -8x = 26
B. 4y= 8
C. 8x = 26
D. 2y = 8
Answer:
D
Step-by-step explanation:
4x+3y -4x -y = 17 -9
<=> 2y =8
The parabola described by the equation -1/16(x-3)^2 + 4 = y has the directrix at y=8. What is the focus of the parabola?
Answer:
(3, 0)
Step-by-step explanation:
A parabola is the locus of a point such that the distance from a fixed line called directrix and the distance from a fixed point called focus is constant.
The equation of a parabola with a vertex at (h, k) with axis of symmetry parallel to the y axis is given as:
[tex]4p(y-k)=(x-h)^2[/tex]
The directrix is at y = k - p, and focus is at (h, k + p).
Given an equation -1/16(x-3)^2 + 4 = y, expressing it in standard form is:
[tex]-\frac{1}{16}(x-3)^2+4=y\\\\(y-4)= -\frac{1}{16}(x-3)^2\\\\-16(y-4)=(x-3)^2\\\\[/tex]
Comparing with the standard form:
The center = (h, k) = (3, 4)
Also, -16 = 4p
p = -4
Directrix is at y = k - p = 4 - (-4) = 8
Directrix is at y = 8
The focus is at (h, k + p) = (3, 4 + (-4)) = (3, 0)
The focus is at (3, 0)
What is 1 1/8-3/4 also what is 3 5/8-2 7/8
Answer: 4.25
Step-by-step explanation: Conversion a mixed number 3 1/
8
to a improper fraction: 3 1/8 = 3 1/
8
= 3 · 8 + 1/
8
= 24 + 1/
8
= 25/
8
To find new numerator:
a) Multiply the whole number 3 by the denominator 8. Whole number 3 equally 3 * 8/
8
= 24/
8
b) Add the answer from previous step 24 to the numerator 1. New numerator is 24 + 1 = 25
c) Write a previous answer (new numerator 25) over the denominator 8.
Three and one eighth is twenty-five eighths
Conversion a mixed number 2 3/
8
to a improper fraction: 2 3/8 = 2 3/
8
= 2 · 8 + 3/
8
= 16 + 3/
8
= 19/
8
To find new numerator:
a) Multiply the whole number 2 by the denominator 8. Whole number 2 equally 2 * 8/
8
= 16/
8
b) Add the answer from previous step 16 to the numerator 3. New numerator is 16 + 3 = 19
c) Write a previous answer (new numerator 19) over the denominator 8.
Two and three eighths is nineteen eighths
Add: 25/
8
+ 19/
8
= 25 + 19/
8
= 44/
8
= 4 · 11/
4 · 2
= 11/
2
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 8 = 64. In the next intermediate step, , cancel by a common factor of 4 gives 11/
2
.
In words - twenty-five eighths plus nineteen eighths = eleven halfs.
Conversion a mixed number 1 1/
4
to a improper fraction: 1 1/4 = 1 1/
4
= 1 · 4 + 1/
4
= 4 + 1/
4
= 5/
4
To find new numerator:
a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/
4
= 4/
4
b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5
c) Write a previous answer (new numerator 5) over the denominator 4.
One and one quarter is five quarters
Subtract: the result of step No. 3 - 5/
4
= 11/
2
- 5/
4
= 11 · 2/
2 · 2
- 5/
4
= 22/
4
- 5/
4
= 22 - 5/
4
= 17/
4
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 4 = 8. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - eleven halfs minus five quarters = seventeen quarters.
Solve for h
h(x)=a(x-h)^2+k
h(x)=x^2-8x+14
Answer:
h = 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
Given
h(x) = x² - 8x + 14
Express h(x) in vertex form by using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² - 8x
h(x) = x² + 2(- 4)x + 16 - 16 + 14
= (x - 4)² - 2
Compare to h(x) = (x - h)² + k , then
h = 4
what is the value of k in which the expression k-22=13-61
Solve for x. Round to one decimal place
Answer:
x ≈ 27.2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 54°
Opposite Leg = 22
Hypotenuse = x
Step 2: Solve for x
Substitute in variables [sine]: sin54° = 22/x[Multiplication Property of Equality] Cross-multiply: x = 22/sin54°Evaluate: x = 27.1935Round: x ≈ 27.2Simplify 6V 80.
0 6+16 51
0 6+415
0 6+1615
O 6+4v5i
Answer:
2nd option
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] and [tex]\sqrt{-1}[/tex] = i
Simplifying the radical
[tex]\sqrt{-80}[/tex]
= [tex]\sqrt{16(5)(-1)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{5}[/tex] × [tex]\sqrt{-1}[/tex]
= 4 × [tex]\sqrt{5}[/tex] × i
= 4i[tex]\sqrt{5}[/tex]
Then
6 + [tex]\sqrt{-80}[/tex]
= 6 + 4i[tex]\sqrt{5}[/tex]
Please answer quickly this is due today and I just can’t figure it all out!!
In Andrews furniture shop he build bookshelves and tables each type of furniture takes him about the same time to make he figures he has time to make at most 25 pieces of furniture this by the Saturday the material for each book shelf cost him $20 in a materials for each table cost and $45 he has $675 to spend on materials Andrew makes a profit of $60 on each bookshelf and a profit of $100 for each table how many of each piece of furniture should Andrew make to maximize his profit 1. write a system of inequalities that represents Andrews constraints explain what each of the inequalities represents you should have four inequalities
Answer:
A. You may set the variables in either order. But for argument sake, let's set as follows:
x = Amount of bookshelves
y = Amount of tables
B. Because of the amount of things you need to make, the following is an inequality using those variables.
x + y > 25
Plus you can determine a second inequality based on the amount of money that you have to spend.
20x + 45y < 675
Finally you may also add in that each value must be greater than or equal to zero, since they cannot have negative tables.
C. By solving the system and looking at basic constraints when graphed, you can see the feasible region has 4 vertices.
(0,0)
(18, 7)
(0, 15)
(33.75, 0) or (33, 0) if you insist on rounding.
Step-by-step explanation: Good luck and hope this helps :)
3p²q - 6pq² help me please .
3p²q - 6 pq²
3pq (p - 2q )
I think this is the solution
Find the area of a regular hexagon with radius length 8
C) –7c^5 + 13c^5 + c^5=
Answer:
please mark as brilliant thanks for the above
Anyone know the answer to this please?
Answer:
140 degrees
Step-by-step explanation:
The center angle of a semi circumference is 180 degrees
BC 180 - 20 - 20 = 180 - 40 = 140 degrees
En 4 días un hombre recorrió 120 km. Si cada día avanzó 1/3 de lo que anduvo el día anterior, en el segundo día recorrió.
Answer:
36 Km
Step-by-step explanation:
Por favor, encontrar el archivo adjunto
What is the gradient of the line that passes through the points (4.2) and (0.4)
Answer:
[tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
Gradient Formula= [tex]m=\frac{y_{2}- y_{1}}{x_{2}- x_{1}}[/tex]
[tex]y_{2}=4\\y_{1}=2\\x_{2}=0\\x_{1}=4[/tex]
[tex]=>\frac{4-2}{0-4}[/tex]
[tex]=> -\frac{1}{2}[/tex]
That's it. Hope that helped.
A boy standing between two pillars of equal height observes the angle of a
elevation of the top of pillars to be 30°. Approaching 15m towards any one
of the pillar, the angle of elevation is 45°. Find the height of the pillars and the distance between them
Answer:
15m
Step-by-step explanation:
did the math
[tex](2x + 3)(2 {x}^{2} - x - 2)[/tex]
simplify this question
Is -14 greater than less than or equal to -3
Answer:
less than is the correct answer
Which graph represents y as a function of x?
Answer:
A
Step-by-step explanation:
By vertical line test, if you draw any vertical line, except for A, all graph meet at more than two points. So, graph A represents y as a function of x.
In converting 14 hours to minutes, what unit (omit the number) would you
place in the denominator of your ratio? Use the plural form in your answer.
Remember that there are 60 minutes in 1 hour.
Answer:
The unit I would place in the denominator of my ratio is minutes
Step-by-step explanation:
1 hour = 60 minutes
Converting 14 hours to minutes
= 14 hours/ x minutes = 1 hour /60 minutes
x minutes = 14 × 60 minutes
= 840 minutes
14 hours = 840 minutes
Therefore,
The unit I would place in the denominator of my ratio is minutes
The sum of $4500 is divided among Anesha, Sian and Joanne in the ratio 7: 11: 12
respectively.
Calculate
(i) The amount of money each person received
(ii) The percentage of the total that Joanne received.
For EASY BRAINLIEST!!!
Answer as many as you can !!
A scatter plot is shown with the title Jordans Hot Chocolate Sales. The x axis is labeled High Temperature and the y axis is labeled Cups of Hot Chocolate Sold. Data points are located at 20 and 20, 30 and 18, 40 and 20, 35 and 15, 50 and 20, 45 and 20, 60 and 14, 65 and 18, 80 and 10, 70 and 8, 40 and 2.
Answer:
First Part;
As the temperature in the city increases, the number of cups of hot chocolate sold decreases
Second Part;
The approximate value of the slope in number of cups sold per change in temperature is -0.12222
The approximate value of the y-intercept is 20.944 degrees temperature
Step-by-step explanation:
Question;
First Part
What is the relationship between temperature in the city and the number of cups of hot chocolate sold, using your own words
Second Part
How can the line of best fit be made. Give the approximate values of the slope and the y-intercept of the line of best fit
Explanation
The data points are presented in the following table;
[tex]\begin{array}{lcl}x&&y\\20&&20\\30&&18\\40&&20\\35&&15\\50&&20\\45&&20\\60&&14\\65&&18\\80&&10\\70&&8\\40&&2\end{array}[/tex]
A scatter plot is formed from the given data using MS Excel
First part;
From the values of the number of cups sold, y, and the temperature at which they are sold, x, there is correlation between the x and y values, such that as the temperature increases, the number of cups sold decreases, the becomes more rapid as the temperature increases past 50, such that the reason for taking the hot chocolate decreases with increasing temperature
Second Part;
The line of best fit can be found using the least squares regression formula to draw a straight line from the regression equation as follows;
y = a + b·x
[tex]b = \dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }[/tex]
a = [tex]\bar y[/tex] - b·[tex]\bar x[/tex]
Where;
b = The slope
a = The y-intercept
From MS Excel, we have;
[tex]\bar y[/tex] = 15, [tex]\bar x[/tex] = 48.63636
[tex]\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) = -410[/tex]
[tex]\sum \left(x_i - \bar x\right )^2 = 3354.545[/tex]
Therefore;
[tex]b = \dfrac{-410}{3354.545} = -0.12222[/tex]
The approximate value of the slope, b = -0.12222 (number of cups sold per unit change in temperature)
a = 15 - (-0.12222)×48.63636 ≈ 20.944
The approximate value of the y-intercept, a = 20.944 (in degrees of temperature).