Answers
The operations between the data-sets are given as follows:
8. B ∩ A = {2,3}.
9. A ∩ U = {2,3,5,6}.
10. n(B) = {1,5,6,7}.
11. B x C = {{2,5}, {2, 1}, {2, 3}, {3, 5}, {3,1}, {3,3}}.
What is the intersection operation between two data-sets?The intersection operation between two data-sets is the set that is composed by all the elements that belong to both data-sets. The intersection operation is represented by the symbol ∩.
From the data-sets in this problem, we have that:
B ∩ A = {2,3}, as elements 2 and 3 both belongs to sets A and B.A ∩ U = {2,3,5,6}, as elements 2, 3, 5 and 6 both belongs to sets A and U.What is the negation of a data-set?The negation of a data-set is the set that contains all elements belonging to the universe set U but not to the data-set.
Hence, from the data-sets in this problem, we have that:
n(B) = {1,5,6,7}.
In which n(B) is the negation of set B.
What is the multiplication between two data-sets?The multiplication between two data-sets is given by all ordered pairs formed from the two data-sets.
Hence the solution for item 11 is given as follows:
B x C = {{2,5}, {2, 1}, {2, 3}, {3, 5}, {3,1}, {3,3}}.
More can be learned about operations between data-sets at https://brainly.com/question/19736050
#SPJ1
Related Questions
f(x)=5x-12what is f(-4)
Answers
multiply 5(-4) and get -20
-20 and add -12
answer is -32
find the inverse of this grapg
Answers
Answer:
Can you please send the picture of the graph
Step-by-step explanation:
express x^pi in base e
Answers
The representation of x^pi in base e is e^xln3.
What is defined as the exponential functions?An exponential function is a the kind of mathematical function that involves exponents.
A mathematical function of the very next form is an exponential function:f (x) = aˣ
where x is a variable and an is a constant known as the function's base.
The transcendental number e, which is approximately 2.71828, is the most frequently detected exponential-function base. As a result, the preceding expression becomes:f (x) = eˣ
When the exponent in this component increases by one, the function's value increases by a factor of e.
When the exponent is reduced by one, the value of the function is reduced by the same factor (it is divided by e ).
Base-10 exponential functions have been encountered in computers and experimental science. The common form is:f ( x ) = 10ˣ
Now, for the given function.
3x=e^ln3^x
= e^xln3
Therefore, the base e representation of the expression is e^xln3.
To know more about the exponential functions, here
https://brainly.com/question/2456547
#SPJ9
You are laying brick for a custom circular patio fire pit. The radius of the fire pit is 36 inches. In square feet, what
amount of patio space is needed for the fire pit?
O 9.42 square feet
O 28.26 square feet
O 113.04 square feet
226.08 square feet
4,069.44 square feet
Answers
Answer:
The answer is 28.26 square feet.
Step-by-step explanation:
The area of a circle is [tex]\pi r^{2}[/tex], so if the radius is 36, [tex]\pi *36^{2}[/tex] is equal to about 4071.5. The formula for converting square inches to square feet is to divide by 144, and [tex]\frac{4071.5}{144}[/tex] is around 28.26.
4Y-4(-2z+6y)-2z simplify
Answers
The simplified expression of 4y - 4(-2z + 6y) - 2z is -20y + 6z
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to simplify the expression?The expression is given as
4y - 4(-2z + 6y) - 2z
Open the bracket
4y - 4(-2z + 6y) - 2z = 4y + 8z - 24y - 2z
Collect the like terms
4y - 4(-2z + 6y) - 2z = 4y - 24y + 8z - 2z
Evaluate the like terms
4y - 4(-2z + 6y) - 2z = -20y + 6z
Hence, the simplified expression of 4y - 4(-2z + 6y) - 2z is -20y + 6z
Read more about expression at
https://brainly.com/question/723406
#SPJ1
distance between (4,9) (9,2)
Answers
The distance between the two points is 8.6 units
How to determine the distance between the two points?The points are given as
(4, 9) and (9, 2)
The distance between the two points is then calculated as
d = √(x2 - x1)^2 + (y2 - y1)^2
This gives
d = √(4 - 9)^2 + (9 - 2)^2
Evaluate the sum of exponents
So, we have
d = √74
Evaluate the exponents
So, we have
d = 8.6
Hence, the distance between the two points is 8.6 units
Read more about distance at
https://brainly.com/question/17273444
#SPJ1
a. A group of 30 students were surveyed and it was found that 18 of them took
Calculus and 12 took Physics. If all students took at least one course, how
many took both Calculus and Physics? Illustrate using a Venn diagram.
Answers
No student took both calculus and physics out of the 30 students.
Given that, total number of students are 30. Out of which 18 took calculus and 12 took physics. Then, we have to calculate how many took both calculus and physics. So, by using venn diagram we have,
Total number of students = 30
Students who took calculus = P(A) = 18
Students who took physics = P(B) = 12
Students who took both calculus and physics = P(A∩B) = x
Students who took only physics = P(B)-x = (12-x)
Students who took only calculus = P(A)-x = (18-x)
From venn diagram, we get
(18-x)+x+(12-x) = 30
18-x+x+12-x = 30
⇒ x = 0
∴ P(A∩B) = 0
Therefore, No student took both physics and calculus.
Learn more in depth about venn diagram at https://brainly.com/question/2099071
#SPJ9
graph each function and give its domain
f(x) = √x - 2
Answers
Domain = ∈ [2, ∞]
Range = ∈ [0, ∞]
Graph [tex]\sqrt{x - 2 [-10, 10, -5, 5]}[/tex]
Just outline the function.
The typical root operation is:
[tex]y = a * \sqrt{(x - h)} + k[/tex]
where x - h ≥ 0
The value within the root sign of a square root function CANNOT be < 0
∴ x - h ≥ 0
∴ x ≥ 2
Therefore, Domain = ∈ [2, ∞]
Regarding range, the function we were provided doesn't have a K value.
As a result, the range spans from 0 to infinity.
Therefore, Range = ∈ [0, ∞]
To know more about, Domain and Range of a function, refer to this link:
https://brainly.com/question/28135761
#SPJ9
3x - 2y = 15
x = 3
the two lines given by the equations above interest in the xy-plane. What is the value of the y-coordinate of the point of intersection?
Answers
Step-by-step explanation:
y-intersec is (0,y)
sub x=0 in 3x-2y=15
3*0-2y=15
0-2y=15
y=-15/2
A men’s traditional haircut at the Barbara spot cost $20 and a shave cost $25 there is an 8.25% state sales tax what is the total price that Cheyenne must pay if she gets his haircut and beard shaved and he tips the barber 25%
Answers
The total price that Cheyenne must pay if he gets his haircut and beard shaved $60.89
A sales tax is one that applies to the purchase of goods and services for consumers and to the sale of goods and services for businesses. It's a type of consumption tax, meaning it taxes people for spending money.
The formula for calculating the sales tax on a good or service is: selling price x sales tax rate, and when calculating the total cost of a purchase, the formula is:
total sale amount = selling price + sales tax.
Given that
spot cost = $20
shave cost = $25
state sales tax = 8.25%
tips = 25%.
find out the total price that Cheyenne pay.
total selling price = spot + shave cost
total selling price = $20 + $25
total selling price = $45
we know that
sales tax = selling price x sales tax rate
sales tax = $45 x 8.25%
sales tax = $45 x 8.25 / 100
sales tax = $3.7125.
Cost with sales tax = $45 + $3.7125
Cost with sales tax = $48.7125
Tip is calculated on total bill
Tip Total: $ 12.18
Total (Bill + Tip): $ 60.89
hence , total amount of $ 60.89 is that Cheyenne must pay if he gets his haircut and beard shaved with the bill and tip.
To learn more about Sales tax and Tip
visit - https://brainly.com/question/25934490
#SPJ9
Help!
solve for x 13,14, and 16 only!!!
Answers
Answer:
13:
x= 86°
14:
x= 30°
16:
x= 59°
(-5, 0) and (8, 0)
Quadratic function
Answers
We need to know about roots of a quadratic equation to solve the problem. The quadratic equation is [tex]x^{2} -3x-40=0[/tex]
Quadratic equation is an equation with the highest degree of the variable being 2. A quadratic equation has two roots. The two roots can be real and different or real and equal or imaginary. The roots of a quadratic equation can be found using factorization method. The roots of a quadratic equation can be used to find the quadratic equation itself. Here in this question we have two points (-5,0) and (8,0). These points lie on the x-axis hence we can say that they are the two roots of the equation and the quadratic equation is in terms of x since it cuts the x-axis. Hence we can say that the two roots of the equation are -5 and 8.
For a quadratic equation [tex]ax^{2} +bx+c=0[/tex] let us say that the roots are α and β
α+β=-b/a
αβ=c/a
Here α and β are -5 and 8
-5+8=-b/a ⇒b/a=-3
c/a=-5 x 8=-40
The quadratic equation is given by [tex]x^{2} +\frac{b}{a} x+\frac{c}{a} =0[/tex] which is [tex]x^{2} -3x-40=0[/tex]
Therefore we found the quadratic equation using the two points given, the equation is [tex]x^{2} -3x-40=0[/tex]
Learn more about quadratic equation here:
https://brainly.com/question/1214333
#SPJ9
A company's sales in Seattle were $330,000 in 2012, while their sales in Portland were $245,000 for
the same year. Complete the following statements:
a. Seattle's sales were
% larger than Portland's.
b. Portland sales were
% smaller than Seattle's.
c. Portland sales were
% of Seattle's.
Answers
Question 6
WORLD RECORD The world's largest ice cream cake was created on May 10, 2011, in Toronto, Canada. The cake
was 4.45 meters long, 4.06 meters wide, and 1 meter tall. All surfaces of the cake except the bottom were covered
with a cookie crumble topping. Use an appropriate two-dimensional model to approximate the area covered by the
cookie crumble topping. Round your answer to the nearest tenth of a square meter.
m²
Answers
The surface area covered by the rectangular cookie crumble topping is of 35.1 m².
What is the surface area of a rectangular prism?The surface area of a rectangular prism of height h, width w and length l is given by:
S = 2(hw + lw + lh).
For this problem, the bottom is not covered, hence the surface area will be of:
S = 2(hw + lh) + lw.
The dimensions are given as follows:
l = 4.45, w = 4.06, h = 1.
Hence the surface area is:
S = 2(4.06 x 1 + 4.45 x 1) + 4.45 x 4.06 = 35.1 m².
More can be learned about the surface area of a rectangular prism at https://brainly.com/question/1310421
#SPJ1
During a marathon, Amy was in second place and was told that the leader was 100 meters ahead of her and that the closest runner behind her was 75 meters back. On a number line, let's say Amy's position is at 0, and the leader's position is on the positive side of 0. Which number sentence correctly compares the distance between Amy and the runner behind her to the distance between Amy and the leader?
A) |-75|< |-100|
B.|-75|<|100|
C.|75|=|-100|
D.|-75|>|100|
Answers
Answer:c
Step-by-step explanation:
c
If Alpha and Beta are the roots of 2x² - 5x - 6=0, find the equation whose toots are ( Alpha -1) and (Beta+1).
pls help with this and lots of explanations.Tnx
Answers
Answer:
[tex]x = 28[/tex]
[tex]2x { } ^{2} - 5x - 6 = 0[/tex]
what is the value of x??
please help!!
Answers
jon started driving west 2 hours ago and has gone 80 mph. What is his veolcity?
Answers
Answer:
Either 40 or 80, depending on whether you worded the question correctly or not.
Step-by-step explanation:
If you mean he has gone 80 miles:
velocity is distance per time, so 80miles/2hours = 40 miles/hour
If you mean he is going 80mph, then the answer is in the question, 80 miles/hour and the distance he has traveled is in miles, therefore you need to multiply by hours, i.e., 80*2=160 miles.
P(n), given below, is the price in dollars for n grams of vitamins.
P(n) = 0.2n + 5.3
Complete the following statements.
(a) which statement best describes (p^-1) (x)?
(See picture)
(b) p^-1 (x) =
(c) p^-1 (6.6) =
Answers
The statement that best describes the expression p-1(x) is (c) the amount for x grams
How to complete the statements?The equation of the function is given as
P(n) = 0.2n + 5.3
(a) which statement best describes (p^-1) (x)?
The function is given as
P(n) = 0.2n + 5.3
This means that the inverse of the function is represented as p-1(n)
Hence, the statement that best describes the expression p-1(x) is (c) the amount for x grams
(b) The function p^-1 (x)
We have
P(n) = 0.2n + 5.3
Rewrite as
y= 0.2x + 5.3
Swap x and y
x = 0.2y + 5.3
Make y the subject
y = 5x - 26.5
Express as inverse function
p^-1(x) = 5x - 26.5
(c) The value of p^-1 (6.6)
We have
p^-1(x) = 5x - 26.5
This gives
p^-1(6.6) = 5 x 6.6 - 26.5
Evaluate
p^-1(6.6) = 6.5
Read more about inverse functions at
https://brainly.com/question/14796161
#SPJ1
PLEASE HELP FAST I ONLY HAVE ONE HOUR!!!!!!
Answers
I’ll give braniest
Find the coordinates of the point
7/10 of the way from A to B.
Answers
[tex]\textit{internal division of a segment using a fraction}\\\\ A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{-8})\qquad B(\stackrel{x_2}{10}~,~\stackrel{y_2}{5})~\hspace{8em} \frac{7}{10}\textit{ of the way from A to B} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_2}{10}-\stackrel{x_1}{(-3)}~~,~~ \stackrel{y_2}{5}-\stackrel{y_1}{(-8)})\qquad \implies \qquad \stackrel{\stackrel{\textit{component form of}}{\textit{segment AB}}}{\left( 13 ~~,~~ 13 \right)} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\left( \stackrel{x_1}{-3}~~+~~\frac{7}{10}(13)~~,~~\stackrel{y_1}{-8}~~+~~\frac{7}{10}(13) \right)\implies \left(-3+\cfrac{91}{10}~~,~~-8+\cfrac{91}{10} \right) \\\\\\ \left( \cfrac{-30+91}{10}~~,~~\cfrac{-80+91}{10} \right)\implies \left(\cfrac{61}{10}~~,~~\cfrac{11}{10} \right)\implies \left(6\frac{1}{10} ~~,~~1\frac{1}{10} \right)[/tex]
Kai is buying boxes of cookies at a bakery. Each box of cookies costs \$4$4dollar sign, 4. He wrote this equation to find how many dollars he'll spend (d)(d)left parenthesis, d, right parenthesis when he buys some number of boxes of cookies (c)(c)left parenthesis, c, right parenthesis:
d=4cd=4cd, equals, 4, c
Identify the dependent and independent variables.
Answers
The number of boxes of cookies Kai buy : independent variable
The amount of the cookies will cost in dollars : dependent variables
Based on the given conditions, formulate,
Each box of cookies costs is = \$4$4dollar (sign, 4).
Cookie represented by c
The required equation is,
d = 4cd = 4cd = 4c
The price is determined by the number of cookies purchased.
c is the independent variable
when c is changes d is changed
So, d is the dependent variable
variables of the equation.
So,
We can write,
d = 4c
where d represents the cost of cookies in dollar and c represents the number of boxes of cookies.
Then, the cost of each box of cookies is $4.
It means,
The cost of 1 box of cookies is = $4.
The cost of 2 boxes of cookies is = $(4+4) = $(2×4)
The cost of 3 boxes of cookies is = $(4+4+4) = $(3×4)
The cost of cookies = (Number of boxes × 4)
The required equation is,
d = 4c
where d represents the cost of cookies in dollar and c represents the number of boxes of cookies.
Therefore,
The boxes of cookies Kai buy : independent variable
The cookies will cost in dollars : dependent variables
To learn more about visit dependent and independent variables :
brainly.com/question/24657192
#SPJ1
Boxes of cookies (c) is Independent.
Dollars spent (d) is Dependent.
The number of species, N, on an island as a function of the area, A, of the island is N=kA‾‾√3.
(a) What is the exponent of this power function?
Answers
-[tex]\sqrt{3}[/tex] is the exponent of the power function.
The power function is generally just f(x) = c x^p for some constant c and some real number exponent p. (It can only be defined for positive values of x.) For example, the square root function f(x) = √x is a power function with p = 1/2.
In this case, N=kA‾‾√3 , -[tex]\sqrt{3}[/tex] is the exponent of this function.
Exponentiation is a mathematical operation, written as bⁿ, involving two numbers, the base b and the exponent or power n, and pronounced as "b to the n".
For more information about exponents, visit https://brainly.com/question/11975096
#SPJ9
The exponent of the power function is 1/2.
How often we are multiplying a number by itself is indicated by its exponent. To multiply 3 four times, for instance, we get 34. It is 3333 in its enlarged form. A number's power is another name for an exponent. It may take the form of an integer, a fraction, a negative integer, or a decimal.
A fractional exponent is one where the exponent of a number is a fraction. Parts of fractional exponents include square roots, cube roots, and nth roots. Square root of the base is a number having a power of half.
Hence we get the exponent of the function as 1/2.
Learn more about Exponents here:
brainly.com/question/847241
#SPJ9
What is 9 x 5.63 show how you got your answer.
Answers
Answer:50.63
Step-by-step explanation: line them up on top of each other and multiply 9 by all them and if its over 10 put the 2nd digit the the next number.
One day total attendance at the state fair was 126,945. Round 126,945 to the nearest ten thousand, nearest ten thousand and the nearest thousand. Which of these rounded amounts is closest to the actual attendance?
Answers
Answer: To the nearest thousand.
Step-by-step explanation:
First, we will round 126,945 to the requested place values;
(it says ten thousand once, so I'm going to include hundred thousand)
hundred thousand ➜ 126,945 ➜ 100,000
ten thousand ➜ 126,945 ➜ 130,000
thousand ➜ 126,945 ➜ 127,000
Next, we will subtract these values from 126,945, and see which absolute value is the smallest.
hundred thousand ➜ 126,945 - | 100,000 | = 26,945
ten thousand ➜ 126,945 - | 130,000 | = 3,050
thousand ➜ 126,945 - | 127,000 | = 55
The rounded amount that is closest to the actual attendance is thousand.
Read more about rounding here: https://brainly.com/question/10763876
Write the next three terms of the following sequences.
5⁄8, 13⁄8, 21⁄8, 29⁄8, 37⁄8, ...
Answers
Answer:
45/8
Step-by-step explanation:
COULD YALL HELP ME ?!???!
Answers
Answer:
28 degrees
Step-by-step explanation:
We know that (4x + 7) + (2x + 5) add up to a straight angle = 180 degrees, so we have the equation 4x + 7 + 2x + 5 = 180.
By combining like terms, we get 6x + 12 = 180.
Subtract 12 from both sides of the equation to get 6x = 168. Divide both sides by 6 and you get x = 28.
Solve - 3g-2| +1 < 6.
Answers
Answer: 18=18
Step-by-step explanation:
Graph the following system of inequalities on the coordinate plane. You will need to explain your work. Each correct line graphed WITH the correct explanation and shading is worth TWO points.
Please tell me how you graphed each line and how you determined where to shade
Answers
Answer:
See attached graphs Graph1, Graph2 and Graph3 and detailed explanation below
Step-by-step explanation:
The process for plotting and shading are essentially the same but with different inequalities
To plot any line
We need two pointsPlug in a value for x and find the corresponding y valueRepeat for another x value and find the corresponding y valueDraw a straight line through the two pointsTo determine area to shade
Choose a point on either side of the line from the graph. See if the corresponding (x,y) values satisfy the inequality. If they do, then that's the area to shade. If not, shade the other area
1. Inequality y > -3x - 2
The line equation is y = -3x -2
Let's choose x = 0. Then y = -3(0) -2 = -2. So one point is (0, -2)
Choose another value for x, say x = 1
y = -3(1) - 2 = -3-2 = -5. So another point is (1,-5).
Draw a straight line through both points (see attached Graph1)
Determining area to shade
Choose a point on the graph on one side of the line. Let's choose (1,2). So x = 1 and y = 2. Does this satisfy the inequality y = -3x -2? Let's see
Is 2 > -3(1) - 2 ?
2 > -3-2 ?
2 > -5 ? YES since a positive number is greater than a negative number. So the area containing (1,2) should be shaded as shown in Graph 1
2. Inequality 4x + 5y ≤ 20
Line equation is 4x + 5y =20
Convert to a function of x as follows
Subtract 4x from both sides ==> 5y = 20 -4xDivide by 5 both sides ==> y = 20/5 - (4/5)x ==> y = 4- 4x/5Choose two values of x and find corresponding y values to get the coordinates of two points
Plug x = 0 into line equation ==> y = 4- 4x/5
==> y = 4 - 4(0)/5 = 4
==> (0, 4) is one point
Choose another value of x, say 5(this is a convenient value since we are dividing by 5)
==> y = 4- 4(5)/5 = 4-4 = 0
==> (5, 0) is another point
Draw straight line through (0,4) and (5,0)
To determine area to shade let's choose a point on the graph. (0,0) is a convenient point. Do the values of x=0 and y=0 satisfy the inequality
4x + 5y ≤ 20?
Plugging in x = 0 and y = 0 gives us
4(0) + 5(0) = 0 and 0 is indeed ≤ 20
So the inequality is satisfied at (0,0)
Shade the region on the side of the line where (0,0) is (see Graph2)
3. Inequality y > -4
The line equation is y = -4
Since this equation does not involve x, the line plot will be a horizontal line at y = -4 for all x values
Simply draw a horizontal line which crosses the y axis at y = -4
To determine which area to shade, choose a point. Use (0,0)
Does y = 0 satisfy the inequality y > -4?
0 > -4 so indeed the point (0,0) satisfies the inequality. Just shade the area on the side of the line which contains (0,0). This will be the region above the line y = -4 See Graph3
Hope that helps :)
A teacher has 15 weeks in which to teach six chapters. Write and then solve
an equation that represents the number of lessons the teacher must teach per week if
there is an average of 8.5 lessons per chapter.