Answer:
see below
Step-by-step explanation:
A = {8, 9, 10, 11, 12, 13, 14} and B = {2, 4, 6, 8, 10, 12, 14, 16, 18}
----------------
(i) List down the elements of A’ and B’
{8, 9, 10, 11, 12, 13, 14, 2, 4, 6, 8, 10, 12, 14, 16, 18} - this is the elements of both sets
----------
(ii) Are sets A - B and B - A equal sets?
A-B= {9, 11, 13}
B-A= {2, 4, 6, 16, 18}
These are not equal as we can see
----------
(iii) Find and compare the sets (AUB)’ and A’∩B’ and share your observations
A∪B= {2, 4, 6, 8, 9, 10, 11, 12, 13, 14, 16, 18}- union included all elements of both sets
A∩B= {8, 10, 12, 14} - intersection only includes common elements
A catering company uses different functions to estimate the itemized costs for a party. The table below represents the included tip for wait staff as a function of the number of guests served. A table showing Catering Cost for Wait Staff Gratuity with two columns and 6 rows. The first column has, Number of Guests, and has the entries, 10, 20, 30, 40, 50. The second column, Wait Staff Tip, has the entries, $18, $36, $54, $72, $90. If the tip varies directly with the number of guests, which equation represents the relationship between the tip, t, and the number of guests, g?
Answer:
Step-by-step explanation:
If the tip varies directly with the number of guests, it means that an increase in the amount of tip would be as a result of an increase in the number of guests and a decrease in the amount of tip would be as a result of an decrease in the number of guests.
If we introduce a constant of proportionality, k , the relationship would be
t = kg
Given that
When t = 18, g = 10, then
18 = k × 10
k = 18/10 = 1.8
Therefore, the equation representing the relationship is
t = 1.8g
Answer:
answer is a
Step-by-step explanation:
Help Plz. My times is limited so I have around 20 mins
Answer:
40 students.
Step-by-step explanation:
There are 60 12th graders that voted for Nick and only 20 12th graders that voted for Garett. 60 - 20 = 40.
Hope this helps!
Find the sum or difference.
81-3
3
Answer:
48
Step-by-step explanation:
81 - 33 = 48
Answer:
48
Step-by-step explanation:
81 - 33 = 48
Do 81 - 30 first = 51
Then do 51 - 3 = 48
The value of x must be greater than
B
12
0
O 1
А
15
O 3
O 7
Answer:
x > 3
Step-by-step explanation:
Given 2 sides of a triangle then the third side x will be
difference of sides < x < sum of sides , that is
15 - 12 < x < 15 + 12, so
3 < x < 27
Thus x > 3
Answer:
C. 3
Step-by-step explanation:
x > 3
Ed 2020
Find the value of x.
Round to the nearest tenth.
X
16
30°
30
x = [?]
Law of Cosines: c2 = a2 + b2 - 2ab cos C
Please need answer asap
Answer:
18.0
Step-by-step explanation:
==>Given:
Triangle with sides, 16, 30, and x, and a measure of an angle corresponding to x = 30°
==>Required:
Value of x to the nearest tenth
==>Solution:
Using the Cosine rule: c² = a² + b² - 2abcos(C)
Let c = x,
a = 16
b = 30
C = 30°
Thus,
c² = 16² + 30² - 2*16*30*cos 30°
c² = 256 + 900 - 960 * 0.8660
c² = 1,156 - 831.36
c² = 324.64
c = √324.64
c = 18.017769
x ≈ 18.0 (rounded to nearest tenth)
Which of the following decimals is equivalent to 6%? A. 600 B. 6 C. 0.6 D. 0.06
Answer:
D
Step-by-step explanation:
Find the number of rectangles in 6×6 chessboard.
Answer:
36
Step-by-step explanation:
quick maths
Answer:
36 rectangles
Step-by-step explanation:
Assuming that all you are asking for is the individual number of squares (not the number of squares and rectangles that can be made when combining the individual ones), the answer is 36.
We get this by multiplying the six squares on one side by the six on the other side. This allows us to calculate the total number! You can do this on a calculator or by hand.
However, if you would like the TOTAL number of rectangles that includes combining the individual ones, this chessboard would have 91 squares and 441 rectangles.
what is the term to term rule for the sequence: 5 10 20 40 80 PLEASE HELP ITS URGENT
In the sequence 5,10,20,40,80.. I can see that it is doubled each time.
Doubling 5 is 10, doubling 10 is 20, doubling 20 is 40, and doubling 40 is 80.
Good luck! Stay safe!
- Eli <3
Please please help me!!
Answer:
The submarine is 307.8 yards below sea level.
Step-by-step explanation:
Since the 500 yards are the hypotenuse of the right angle triangle, the acute angle opposite the side of the triangle we need to find is known ([tex]38^o[/tex]), we can use the sine function to solve the problem:
[tex]sin(\theta)=\frac{opposite}{hypotenuse} \\sin(38^o)=\frac{x}{500} \\500\,*\,sin(38^o)=x\\x = 307.8307\,\,yards[/tex]
which rounded to the nearest tenth is : 307.8 yards
Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.
Answer:
To prove that 3·4ⁿ + 51 is divisible by 3 and 9, we have;
3·4ⁿ is divisible by 3 and 51 is divisible by 3
Where we have;
[tex]S_{(n)}[/tex] = 3·4ⁿ + 51
[tex]S_{(n+1)}[/tex] = 3·4ⁿ⁺¹ + 51
[tex]S_{(n+1)}[/tex] - [tex]S_{(n)}[/tex] = 3·4ⁿ⁺¹ + 51 - (3·4ⁿ + 51) = 3·4ⁿ⁺¹ - 3·4ⁿ
[tex]S_{(n+1)}[/tex] - [tex]S_{(n)}[/tex] = 3( 4ⁿ⁺¹ - 4ⁿ) = 3×4ⁿ×(4 - 1) = 9×4ⁿ
∴ [tex]S_{(n+1)}[/tex] - [tex]S_{(n)}[/tex] is divisible by 9
Given that we have for S₀ = 3×4⁰ + 51 = 63 = 9×7
∴ S₀ is divisible by 9
Since [tex]S_{(n+1)}[/tex] - [tex]S_{(n)}[/tex] is divisible by 9, we have;
[tex]S_{(0+1)}[/tex] - [tex]S_{(0)}[/tex] = [tex]S_{(1)}[/tex] - [tex]S_{(0)}[/tex] is divisible by 9
Therefore [tex]S_{(1)}[/tex] is divisible by 9 and [tex]S_{(n)}[/tex] is divisible by 9 for all positive integers n
Step-by-step explanation:
Can someone please help me I really need help please help me
Answer:
≈ 18.87 cm²
Step-by-step explanation:
The shaded area is the difference between the area of the trapezium and the semicircle.
The area (A) of the trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h( a + b)
where h is the height and a, b the parallel bases
Here h = 4 ( radius of circle), a = 14 and b = 4 + 4 = 8, thus
A = [tex]\frac{1}{2}[/tex] × 4 × (14 + 8) = 2 × 22 = 44 cm²
area of semicircle = [tex]\frac{1}{2}[/tex]πr² = [tex]\frac{1}{2}[/tex]π × 4² = 8π cm²
Shaded area = 44 - 8π ≈ 18.87 cm² ( to 2 dec. places )
Answer:≈ 18.87 cm²
Step-by-step explanation:
Answer:
≈ 18.87 cm²
Step-by-step explanation:
The shaded area is the difference between the area of the trapezium and the semicircle.
The area (A) of the trapezium is calculated as
A = h( a + b)
where h is the height and a, b the parallel bases
Here h = 4 ( radius of circle), a = 14 and b = 4 + 4 = 8, thus
A = × 4 × (14 + 8) = 2 × 22 = 44 cm²
area of semicircle = πr² = π × 4² = 8π cm²
Shaded area = 44 - 8π ≈ 18.87 cm² ( to 2 dec. places
Represent 1/3 and 5/2 on the same number line.
Step-by-step explanation:
1/3 and 5/2 can be shown as:
1/3= 3/6 5/2= 15/6points with 1/6 interval on the number line:
0, 1/6, 2/6, 3/6, 4/6, ..., 15/6
I need help I’m very confused with this question
Answer:
Option 1
Step-by-step explanation:
=> [tex]x^2-4x+2 = 10[/tex]
Adding 2 to both sides to complete the square
=> [tex]x^2-4x+4 = 12[/tex]
Completing the square
=> [tex](x-2)^2= 12[/tex]
Answer:
Step-by-step explanation:
exact form:
x=+2\sqrt(3+2)
decimal form:
x=5.46410161
What is the value of x in the equation 1/5x – 2/3y = 30, when y = 15?
Answer:
x = 200
Step-by-step explanation:
1/5x – 2/3y = 30
substitute in y
1/5x - 2/3(15) = 30
multiply
1/5x - 10 = 30
isolate the variable
1/5x = 40
multiply each side by 5
x = 200
Answer:
x = 200
Step-by-step explanation:
1/5x - 2/3y = 30
Put y as 15 and evaluate.
1/5x - 2/3(15) = 30
1/5x - 30/3 = 30
1/5x - 10 = 30
Add 10 on both sides.
1/5x = 40
Multiply both sides by 5.
x = 200
Can someone help me solve this?
Thank you!
Answer:b=-43.38
Step-by-step explanation:
7x -5 (x +6) simplify this algebraic expression completely
Answer:
2x-30
Step-by-step explanation:
Expand: 7x-5x-30
=2x-30
The histogram shows the number of miles drive by a sample of automobiles in New York City. Which is a reasonable explanation for the large gap in the histogram?
Answer:
The gap in the histogram simply means that: out of all the automobiles sampled, there were none with number of miles driven between 17,500 miles and 32,500 miles.
Step-by-step explanation:
The histogram in question is missing from the question. It was obtained online and is attached to this solution.
A histogram is a chart that represents numerical data using bars. The dataset is split into intervals, each interval is represented by a bar, and the number of variables in each interval makes up the frequency for that interval.
If the bars are of equal width, the height of each bar corresponds to the frequency of the interval represented by that bar. If not, the frequency is given by the area of each bar (this is the major difference between a Bar chart and a histogram).
For this question, the histogram shows the number of miles driven by a sample of automobiles in New York City, the frequency of automobiles in each interval of miles driven is presented on the y or vertical axis and the miles driven is shown on the x-axis.
It is clear that 50 automobiles are in this sample and the class width of each interval of miles driven is 5000 miles.
So, the gap in between this histogram between the interval just after 17500 miles driven and just before 32500 miles driven simply means that none of the automobiles sampled had number of miles driven within this range.
Hope this Helps!!!
solve the equation x^2+4x-7=0 by completing the square. Give your answer to 2 decimal places
Answer:
x ≈ - 5.32 , x ≈ 1.32
Step-by-step explanation:
Given
x² + 4x - 7 = 0 ( add 7 to both sides )
x² + 4x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 7 + 4, that is
(x + 2)² = 11 ( take the square root of both sides )
x + 2 = ± [tex]\sqrt{11}[/tex] ( subtract 2 from both sides )
x = - 2 ± [tex]\sqrt{11}[/tex]
Thus
x = - 2 - [tex]\sqrt{11}[/tex] ≈ - 5.32 ( to 2 dec. places )
x = - 2 + [tex]\sqrt{11}[/tex] ≈ 1.32 ( to 2 dec. places )
Answer:
x=-5.32 or x=1.32
Polygon ABCD is rotated 90 degrees counter loll about the origin to create polygon A' B' C' D'. Match set of coordinates to vertices of polygon A' B' C' D'
Answer:
A (3, 1)
B (2, 2)
C (1, 2)
D (1, 1)
Step-by-step explanation:
When a point is rotated 90° (90 degrees) counterclockwise about its origin, the coordinate B (x, y) transforms into B' (-y, x).
A′ (-1, 3) B′ (-2, 2) C′ (-2, 1) D′ (-1, 1)
Using the formula above B (x, y) ⇒ B' (-y, x), we have the coordinates for the polygon as:
A′ (-1, 3) ⇒ A (3, 1)
B′ (-2, 2) ⇒ B (2, 2)
C′ (-2, 1) ⇒ C (1, 2)
D′ (-1, 1) ⇒ D (1, 1)
∴ coordinates of the original polygon is given by the vertices:
A (3, 1), B (2, 2), C (1, 2), D (1, 1)
What is the total surface area of the square pyramid below?
10 14 10 plz help:(
Answer: 380[tex]cm^{2}[/tex]
Step-by-step explanation:
Area of triangle= 14 x 10 = 140
140/2 = 70
4 triangles= 70 x 4 = 280
Area of the square= 10 x 10 = 100
Total surface area= 280 + 100 = 380[tex]cm^{2}[/tex]
hello fellow army :)
04
Apples cost £a and bananas cost £b. Which is a correct expression for how 1 point
much 4 apples and 5 bananas cost? *
4a + 5b
4a 5b
9ab
4 + 5
Simplify fully
Answer:
4a+5b
Step-by-step explanation:
Given:
Apple=£a
Banana=£b
Quantity of Apple=4
Quantity of banana=5
Find the cost of 4 apples and 5 bananas
Total cost=PaQa+PbQb
Where,
Pa=price of Apple
Qa=quantity of Apple
Pb=price of banana
Qb=quantity of banana
Total cost=PaQa+PbQb
=4*a+5*b
=4a+5b
Find the area of the shaded segment. Round your answer to the nearest tenth. Please include units in your answer.
Answer: 56
Step-by-step explanation:
Let's organise our information :
the radius of the circle is r=14 cm we can get the area of the shaded by substracting the area of that triangle from that quarterThe area of the cercle's quarter area is :
A= 14²×π*(1/4) = 49π cm²The area of the triangle is :
A=14²*(1/2)=98NOw the area of the shaded segment :
A=49π-98= 55.98 ≈ 56Which function increases at the fastest rate between x = 0 and x = 8? A 2-column table with 5 rows titled Linear Function with the equation f of x = 2 x + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 6, 10, 14, 18. A 2-column table with 5 rows titled Exponential Function with the equation f of x = 2 Superscript x Baseline + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 3, 6, 18, 66, 258. A 2-column table with 5 rows titled Quadratic Function with the equation f of x = 2 x squared + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 10, 34, 74, 130. A 2-column table with 5 rows titled Linear Function with the equation f of x = 3 x + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 8, 14, 20, 26.
Answer:
The correct option is;
Exponential function 2ˣ + 2
x = 0, 2, 4, 6, 8
f(x) = 3, 6, 18, 66, 258
Step-by-step explanation:
The given functions are;
f(x) = 2x + 2
x = 0, 2, 4, 6, 8
f(x) = 2, 6, 10, 14, 18
f(x) = 2ˣ + 2
x = 0, 2, 4, 6, 8
f(x) = 3, 6, 18, 66, 258
f(x) = 2·x² + 2
x = 0, 2, 4, 6, 8
f(x) = 2, 10, 34, 74, 130
f(x) = 3·x + 2
x = 0, 2, 4, 6, 8
f(x) = 2, 8, 14, 20, 26
By comparison, the function that increases at the fastest rate between x = 0 and x = 8 is Exponential function 2ˣ + 2
Answer: The answer is B on edg
Step-by-step explanation:
Geometry, Inverse Trigonometry Find the measure of the indicated angle to the nearest degree
Answer:
? = 44 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp side/ adjacent side
tan ? = 46/48
Take the inverse tan of each side
tan ^-1 ( tan ?) = tan ^ -1 ( 46/48)
? = 43.78112476
To the nearest degree
? = 44 degrees
its for 100 points Solve the chart save the picture and solve it please it going to save my life --- its first difference
The first column is found by plugging in the x values to get corresponding y values. For instance, if x = -5, then y is...
y = x^2+3x-18
y = (-5)^2+3(-5)-18
y = 25-15-18
y = 10-18
y = -8
So that explains how they got -8 in the second column, next to x = -5.
--------------
The column of first differences is found by subtracting the adjacent terms in the y column. The distance from y = -8 to y = -14 is 6 units, so we'll write 6 in the first row of the "first differences" column. The rest of the values of this column are filled out in a similar fashion. This means that you'll need to completely fill out the y column before you can move onto the "first differences" column.
--------------
The second differences is found by subtracting the adjacent first differences. You should find the results of this column are all the same value. This is true of any quadratic function.
Match the question with the answer (e.G. 1 + C) 26 x 5 161 2. 25 x 6 130 3. 22 x 6 168 4. 21 x 8 150 5. 23 x 7 132 Answers: 1 + 2 + 3 + 4 + 5 +
Answer:
1+B,2+D,3+E,4+C and 5+A
Step-by-step explanation:
(A)161 (B)130 (C)168 (D)150 (E)132
1. 26 x 5=130
This is Option B, therefore we have the match:1+B
2. 25 x 6=150
This is Option D, therefore we have the match:2+D
3. 22 x 6=132
This is Option E, therefore we have the match: 3+E
4. 21 x 8=168
This is Option C, therefore we have the match: 4+C
5. 23 x 7=161
This is Option A, therefore we have the match:5+A
I need an asnwer Tutor and the answer to this question
Answer:
[tex] \dfrac{1}{a^6} [/tex]
Step-by-step explanation:
[tex] a^{-6}x^0 = [/tex]
[tex] = \dfrac{1}{a^6} \times 1 [/tex]
[tex] = \dfrac{1}{a^6} [/tex]
Question: Sara started her homework at 5:30 p.M. And finished it at 9:15 p.M. How much time did she take to finish her homework? [ 3 marks] Show your answer in 24 hour clock system. [ 2 marks]
Step-by-step explanation:
530pm = 17:50 in 24hr/military time
915pm = 21:15 in 24hr/military time
therefore..
24hr/military time. 21:15 - 17:50 = 3.65hr
our time. 3hr 45min
It took Sarah 3 hours and 45 minutes to finish her homework
The answer in 24 hour clock system is 3:45
The calculation can be done as follows
Sarah started her home work at 5:30 pm
She finished at 9:15pm
The time range here is 3 hours, 45 minutes
Please see the link below for more information
https://brainly.com/question/24991186?referrer=searchResults
Pls can someone help it’s due tmrz
Answer:
Step-by-step explanation:
In a quadrilateral all the angles equal to 360 degrees
ADC= 136+90+62=288.
360-288=72
A straight line is equal to 180 degrees
CDE= 180-72=108
x=108
Answer:
the value of x is 62 degrees.
Step-by-step explanation:
we know that corresponding angles are equal, so the value of x is 62 degrees as x is an corresponding angle of 62°
What is the answer to (-9c)-4=-25
Answer:
c= 7/3
Step-by-step explanation:
To solve for c:
Simplify the equation by moving all numbers to one side and variables to the other
-9c-4=-25
-9c= -25+4
-9c=-21
Now isolate c by dividing both sides by its coefficient (-9)
c= -21/-9
Since the (-) cancel out, this simplifies to:
c= 21/9
Now reduce the fraction by dividing the right hand side by a common value of 3:
c= 7/3