Answer:
[tex](B'\cap A)\cup C=\{1,5,6,7,8\}[/tex]
Step-by-step explanation:
[tex]B'=\{1,5,8,9\}[/tex]
[tex](B'\cap A)=\{1,5\}[/tex]
[tex](B'\cap A)\cup C=\{1,5,6,7,8\}[/tex]
The complement of a set, notated with a prime symbol ('), are all other elements that are not in that set.
The intersection of two sets, notated by [tex]\cap[/tex], are just the elements that are contained in both sets.
The union of two sets, notated by [tex]\cup[/tex], are all the elements that are contained in both sets (any duplicates are not included).
Hamza had MVR 835 in his pocket. While eating in a restaurant, he ordered a fish curry for MVR 30 ,a plate of rice for MVR 15 and a bottle of fruit juice for MVR 39. How much money was left with him ?
Answer:
i hope this help
Step-by-step explanation:
Hamza spent 30 + 15 + 39 = 84 MVR.
So, Hamza had 835 - 84 = 751 MVR left.
The perimeter of a rectangular red sticker is 14 millimeters. The sticker is 4 millimeters wide. How tall is it?
Answer:
3 millimeters
Step-by-step explanation:
The formula for finding perimeter: 2W+2L=P
W= width
L= length
P= Permiter
So just substitute the numbers in the equation
4 millimeters is the width
14 millimeters is the perimeter
So this is your equation
2*4+2L=14
8+2L=14
Subtract 8 from both sides
2L=6
Divide both sides by 2
L=3
So your length is 3 millimeters
To check:
(2*4)+(2*3)=14
8+6=14
14=14
draw a design that uses three equilateral triangles and two isosceles triangles. label the vertices. list all the congruent sides and angles
In geometry, an equilateral triangle is one with three equal-length sides. In the traditional Euclidean geometry, an equilateral triangle is also equiangular, which means that each of the three internal angles is 60 degrees and that they are all congruent with one another.
What is internal angle?A shape's interior can contain angles. The closed, side-and-vertex-containing shapes are known as polygons. All of the internal angles of a regular polygon are equal. For instance, the inner angles of a square are all exactly 90 degrees, or the right angle.Interior angle of a polygon is equal to the sum of interior angles divided by the number of sides, according to the following formula. A polygon has a total of 360° in its outside angles. Exterior angle of a polygon is equal to 360 divided by the number of sides, according to the following formula. An interior angle is one that is located inside a polygon. As an illustration, a triangle has three interior angles.To learn more about internal angle, refer to:
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The design using three equilateral triangles and two isosceles triangles is shown using the vertices.
What are equilateral triangles?Any triangle with three equal sides is said to be equilateral. The third side of this particular isosceles triangle is also equal. ABC has the formula AB = BC = CA. An equilateral triangle has the following qualities:
It has three equal sides. The three angles are equal. Every angle of an equilateral triangle is 60 degrees since the sum of the interior angles is 180 degrees.
It has three regular sides and is a polygon.
What are isosceles triangle?Regardless of which way the triangle's apex points, an isosceles triangle is one that has two equal sides. Angle determination can be done using isosceles triangles. AB Equals AC in the isosceles triangle ABC. Likewise, PQ Equals PR in the triangle PQR. The isosceles triangle's base is represented by the uneven sides BC and QR, while vertices A and P are regarded as the triangle's peaks. Among its attributes are:
There are equal sides on it. The basis angles are two equal angles that make up the object. A triangle is referred to as a right isosceles triangle when the third angle is 90 degrees.
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Find the simple interest for the following. Use ordinary time (360 days). Round to the nearest cent.
$34,000 at 7.5% for 100 days
When the principal is $ 34000, the rate is 7.5%, and the time period is 100 days, the simple interest is $ 698.63.
what is simple interest ?Increase the investment by the lending rates, the length of time, and other factors to arrive at simple interest. Simple return = money + interest + hours is the selling formula. This method makes it easiest to calculate interest. The most conventional technique to figure out interest is as a portion of the principal sum. He will indeed pay his share of the 100percent interest, for example, if he buys $100 from just a friend and offers to pay it back with 5% interest. $100 (0.05) = $5. When you borrow more money, you should pay interest, then when you give it out, you must charge interest. Interest is often determined as an extra component of the loan total. The interest on the loan is this percentage.
given
r = R/100 = 7.5%/100 = 0.075 per year,
putting time into years for simplicity,
100 days ÷ 365 days/year = 0.273973 years,
then, solving our equation
I = 34000 × 0.075 × 0.273973 = 698.63115
I = $ 698.63
When the principal is $ 34000, the rate is 7.5%, and the time period is 100 days, the simple interest is $ 698.63.
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How do I realign the handlebars for my big Flyer?
To realign the handlebars to your bike, you would need to:
Stand with your bicycle in front of you.Put your front wheel between your legs.Hold the bike's front wheel tight with your legs to keep the bike upright.Grab the handlebar and make it perpendicular to the front wheel.Keep the bike steadyLoosen the stem using the Allen wrench. Do minor adjustments using your hand.Put the handlebar in a straight position. Then use a ruler, tape measure, or adjust by sight to the correct placement.Use the Allen wrench or Hex key to gently turn the two bolts (some bikes have one) on the stem until they hold tight.After tightening the bolt(s), check the alignment again.Now, try rotating your bike using a handlebar.Bicycles' steering is controlled by a handlebar. As it is typically immediately mechanically connected to a pivoting front wheel via a stem that is then attached to the fork, it is the equivalent of a tiller for vehicles and watercraft.
The steps to fix your big Flyer bike has been given above.
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Which of the following is the first step to rewriting the formula P = 2l + 2w to solve for l
A)
B)
C)
D)
b) Subtract [tex]2w[/tex] from both sides
NEED HELP ASAP!!!
Given the graph of the function f(x) which graph shows the function g(x) if g(x) = f(x + 3) ?
Answer:
(d) see below
Step-by-step explanation:
You want the graph of g(x) = f(x+3) given the graph of f(x).
TranslationThe graph of the parent function f(x) is translated right h units and up k units by ...
g(x) = f(x -h) +k
Here, we have (h, k) = (-3, 0), so the translation is to the left by 3 units.
The graph that shows f(x) translated left 3 units is attached.
You are the chief scientist of Neo Medtech Inc. Your company produces 3 types of devices to detect Covid-19, namely, A, B, and C. There are 3 different type of Materials used for production, namely, M1, M2 and M3.
To produce one unit of A requires 3 units of M1, 2 units of M2 and 6 units of M3. To produce one unit of B requires 3 units of M1, 2 units of M2, and 4 units of M3. To produce one unit of C requires 4 units of M3, 5 units of M1, and 7 units of M2. The manufacturer has an everyday available quantity of 71 thousand units of M1, 81 thousand units of M2 and 92 thousand units of M3.
a. Form a system of linear equations from the information above.
b. Write a matrix equation for the system of linear equations obtained in (b).
c. Use the inverse matrix method, find the quantity of A, B and C.
d. The production cost is RM0.70 for a unit of A, RM0.50 for a unit of B, and RM0.90 for a unit of C, find, using matrix method, the daily cost for these 3 types of medicine.
The answers to all parts shown below.
What is Matrix?A set of numbers arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries, of the matrix.
Given:
a) The system of linear equations
3A + 2B + 6C = 71, 000
3A + 2B +4C = 81, 000
5A + 7B + 0C= 92, 000
B) The equation for the system of linear equations
Y = [tex]\left[\begin{array}{ccc}3&2&6\\3&2&4\\5&7&0\end{array}\right][/tex] , Z = [tex]\left[\begin{array}{ccc}71000\\81000\\92000\end{array}\right][/tex]
So, YX = Z
X = Z[tex]Y^{-1[/tex]
C) The inverse matrix method
14/11 21/11 -2/11
= 1/22 10/11 -15/11 3/11
1/2 -1/2 0
= 7/ 121 21/ 242 -1/121
5/121 -15/242 3/242
1/44 -1/44 0
and, X = Z[tex]Y^{-1[/tex]
X = [tex]\left[\begin{array}{ccc}71000\\81000\\92000\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}7/ 121 &21/ 242& -1/121\\ 5/121&-15/242&3/242\\1/44&-1/44&0\end{array}\right] \\[/tex]
A= 10,376.03
B = 946.28
C= 227.72
d) The production for A = RM 7,263.221
The production for B = RM 473.14
The production for C = RM 204.948
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A water sport shop rents tubes, kayaks, canoes, skis, and rafts. The circle graph below shows the rentals from June.
There were 300 items rented in June. Based on the circle graph, how many of those rentals were tubes or rafts?
A.
180
B.
120
C.
150
D.
225
The required, 180 items rentals were tubes or rafts of 300 items.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The circle graph shows that tubes and rafts made up 60% of the total rentals. If there were 300 items rented in June, then 60% of those rentals were tubes or rafts:
300 items × 60% = 180 items
So the answer is A. 180.
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Y=x-2 and y=3x +5 what does x and y =
Answer:
x = - 3.5 , y = - 5.5
Step-by-step explanation:
y = x - 2 → (1)
y = 3x + 5 → (2)
substitute y = 3x + 5 into (1)
3x + 5 = x - 2 ( subtract x from both sides )
2x + 5 = - 2 ( subtract 5 from both sides )
2x = - 7 ( divide both sides by 2 )
x = - 3.5
substitute x = - 3.5 into either of the 2 equations for y
substituting into (1)
y = x - 2 = - 3.5 - 2 = - 5.5
then x = - 3.5 and y = - 5.5
Find the coordinates of the point on the unit circle at an angle of 225∘.
Give your answer in the form (x,y) and leave any fractions in fraction form.
The unit circle has the co-ordinates (-√2/2, -√2/2)
What are trigonometric functions?In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.
Given here: The unit circle and the point makes an angle of 225
we know the co-ordinates of any point on the unit circle is given by
x=cost and y=sint where t is the angle that line passing through the origin containing the point makes with x-axis
Thus x=cos225
=-√2/2
and y=sin225
=-√2/2
Hence, The required point is given by co-ordinates (-√2/2, -√2/2)
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rewrite the expression without absolute value bars
The expression without absolute value bars is 3.84.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
|√10 - 7 |
= | 3.16 - 7 |
= | -3.84 |
= 3.84
Thus,
The value of the expression is 3.84.
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Which of the following sets of numbers could not represent the three sides of a triangle?
{
10
,
17
,
27
}
{10,17,27}
{
9
,
22
,
30
}
{9,22,30}
{
6
,
16
,
19
}
{6,16,19}
{
4
,
7
,
9
}
{4,7,9}
The set {10,17,27} does not represent the three sides of a triangle,
What are triangles?Having three edges and three vertices, a triangle is a three-sided polygon. The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic. This characteristic is known as the triangle's angle sum property.
Given the sets for the triangles,
property of triangles says that,
The length of a triangle's two longest sides added together is longer than the third side.
Similarly to this, the length of the third side of a triangle third side is shorter than the difference between its two sides.
1: given sides are 10, 17, 27
according to the property sum of 10 and 17 should be greater than 27 but sum is equal to 27,
10 + 17 = 27,
so the sides do not represent the triangle
2: sides are 9, 22, 30
here 9 + 22 > 30
the set represents the triangle.
3: sides 6, 16, 19
6 + 16 > 19
the set represents the triangle.
4: sides 4, 7, 9
4 + 7 > 9
set represents the triangle.
Hence option A is correct.
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Factor the expression.
(blankq^2-r^2s)(blankq^4+blankq^2r^2+blankr^4s^2)
The value of the expression is q^6 + q^4r^2 + q^2r^4s^2 - q^4r^2s - q^2r^4s + r^6s^3
How to factor the expressionFrom the question, we have the following parameters that can be used in our computation:
(blankq^2-r^2s)(blankq^4+blankq^2r^2+blankr^4s^2)
Express properly
So, we have
(q^2-r^2s)(q^4+ q^2r^2 + r^4s^2)
Open the brackets
q^6 + q^4r^2 + q^2r^4s^2 - q^4r^2s - q^2r^4s + r^6s^3
There are no like terms in the expression
So, the solution is q^6 + q^4r^2 + q^2r^4s^2 - q^4r^2s - q^2r^4s + r^6s^3
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Samantha mixes some amount of 25% sugar syrup with x grams of 10% sugar syrup. The result is 120 grams of 15% sugar syrup. How much pure sugar is in x grams of 10% syrup?
Answer:
40 grams
Step-by-step explanation:
........................
Answer: 0.10x grams
Step-by-step explanation:
What values complete the table if y = �3?
Question 3 options:
A)
9, 0, 9
B)
–3, 0, 3
C)
–9, 0, 3
D)
–3, 0, 9
[tex]y= \sqrt[3]{x} [/tex]
The values that will complete the function table are;
B) –3, 0, 3
How to solve function tables?The function we are trying to solve is expressed as;
y = ∛x
When x = -27, we have the result as;
y = ∛-27
y = -3
When x = 0, we have;
y = ∛0
y = 0
When x = 27, we have;
y = ∛27
y = 3
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Tonya handed out 240 fliers advertising a school play. It took her 5 hours to hand out all 240 fliers.
If Tonya’s rate was StartFraction 240 fliers Over 5 hours EndFraction , at what unit rate did she hand out fliers each hour?
Tonya handed out
fliers per hour.
Which table represents a linear function?
Which table represents a linear function? - 1
A linear equation is an equation in which each term has at max one degree. The table that represents a linear function is Table 1. Thus, the correct option is A.
What is a linear equation?A linear equation is an equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c
Linear equation with two variables, when graphed on a cartesian plane with axes of those variables, give a straight line.
For the table to represent a linear function, the function must have a constant slope between any two points.
For the first table, the slope between the first two points is,
m = (7-3)/(2-1) = 4
The slope between the last two points is,
m = (15-11)/(4-3)
Hence, the table that represents a linear function is Table 1. Thus, the correct option is A.
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5 inches : 2 feet. If the gym is 170 inches wide in the drawing, how wide is the actual gym?
Answer:
68
Step-by-step explanation:
170/5=34 34*2=68
Which equation represents the graph? a graph of a line that passes through the points 0 comma negative 3 and 4 comma negative 1 y equals negative one half times x plus 6 y equals one half times x minus 3 y = 2x − 3 y = −2x + 6
The equation of the line is y = (1/2)x - 3.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The line passes through (0, -3) and (4, -1)
Now,
The equation of a line is y = mx + c
m = (-1 + 3) / (4 - 0)
m = 2/4
m = 1/2
Now,
(0, -3) = (x, y)
y = mx + c
-3 = (1/2) x 0 + c
-3 = c
c = -3
Thus,
y = (1/2)x - 3 is the equation of the line.
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Let A(7,10) and B(-5,5). What is the length of AB
The length of segment AB is determined as 13 units.
What is distance between two points?The distance between two points is the length of the line segment that connects the two points in a plane.
here, we have,
The length of segment AB is the distance between point A and point B, which is calculated as follows;
|AB| = √[(x₂ - x₁)² + (y₂ - y₁)²]
where;
x₁ is the x - component of point A
x₂ is the x - component of point B
y₁ is the y - component of point A
y₂ is the y- component of the point B
|AB| = √[(x₂ - x₁)² + (y₂ - y₁)²]
|AB| = √[(-5 - 7)² + (5 - 10)²]
|AB| = √[144+25]
|AB| = 13 units
Thus, the length of segment AB is the distance between point A and B.
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Which coordinate pair is the best estimate of the point of intersection in this graph?
Answer:
(1,1)
Step-by-step explanation:
Find the scale factor.
ABCD~EFGH
The scale factor for the given quadrilateral would be 1.5.
A scale factor is a numerical value that is used to represent an object's enlarged or shrunk shape. It is a number that can be used to alter the size of any geometric figure or shape in relation to its original size. It aids in altering the figure's size but not its shape.
Given that the two quadrilaterals are similar to each other and are dilated by some scale factor.
The scale factor will be calculated as:-
Scale factor = 15 / 10
Scale factor = 1.5
Hence, the scale factor will be 1.5.
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Is (1, -1) a solution to this system of equations?
y= –6x + 5
y= x – 2
The solution to the system of equations is ( 1 , -1 )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first equation be represented as A
Now , the value of A is
y = -6x + 5 be equation (1)
Let the second equation be represented as B
Now , the value of B is
y = x - 2 be equation (2)
On simplifying the equations , we get
Substitute the value of y from equation (2) in equation (1) , we get
x - 2 = -6x + 5
Adding 6x on both sides of the equation , we get
7x - 2 = 5
Adding 2 on both sides of the equation , we get
7x = 7
Divide by 7 on both sides of the equation , we get
x = 1
Substitute the value of x in equation (2) , we get
y = 1 - 2
y = -1
Hence , the value of x and y is 1 and -1 respectively
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Divide the polynomials.
The form of your answer should either be p(x) or p(x) +
x
is an integer.
5x³ 22x²
x
-
5
17x +11
k
where p(x) is a polynomial and k
5
The division expression is (5x³ - 22x² - 17x + 11)/(x - 5) = 5x² + 3x - 2 + (2/(x - 5))
How to divide the polynomialFrom the question, we have the following parameters that can be used in our computation:
(5x³ - 22x² - 17x + 11)/(x - 5)
Using a synthetic setup, we have
x - 5 = 0
This gives
x = 5
So, the set up becomes
5 | 5 -22 -17 11
The synthetic division is then carried out as follows
5 | 5 -22 -17 11
25 15 -10
5 3 -2 1
So, we have
Quotient = 5 3 -2
Remainder = 1
Introduce the variable
Quotient = 5x² + 3x - 2
Remainder = 2
Hence, the quotient is 5x² + 3x - 2 and the remainder is 2
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The reader can tell that this excerpt is part of the poem’s resolution, because the speaker
finally feels a sense of belonging.
finally learns how to play baseball.
no longer wants to get home before dusk.
no longer tries to catch the ball.
Answer:
A
Step-by-step explanation:
In parallelogram LMNP if PQ=21 find QM.
5 stars and like
Answer: The diagonals of a parallelogram bisect each other, then. QM = PQ = 21. Explore all similar answers.
Step-by-step explanation: got do the d
PLEASE HELP ME ANSWER
Answer: D)12 units
Step-by-step explanation:
Because, your y axis travels from 34 to 22, in that case you have to take away 22 from 34 which you get 12.
Which number is rational?
A. 4√2 B. √15 C. √3 D. √16
Please explain thank you
Answer: D
Step-by-step explanation:
Think about it this way, 3 squared is 3x3 correct? that equals 9. 4 squared is 16 so there you go. Sorry if this isn't answered clearly.I'm trying my best to help
54 students from a local high school were asked two questions about musical preferences: “Do you like rock?” “Do you like rap?” The responses are summarized in the table below. Is there evidence of a positive association between liking rock and liking rap?
There is evidence of a positive association between liking rock and liking rap as this can be seen from the fact that a larger proportion of students who like rock also like rap.
How to illustrate the informationWhen the values of two variables tend to rise together, this is referred to as a positive association between the two variables. When the values of one variable tend to fall as the values of the other variable rise, there is a negative relationship between the two variables.
There is proof that liking rap and liking rock are positively correlated. The fact that more pupils who enjoy rock also like rap (27 out of 33, or 81.8%) than those who don't like rock (17 out of 21, or 80.9%) demonstrates this.
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54 students from a local high school were asked two questions about musical preferences: “Do you like rock?” “Do you like rap?” The responses are summarized in the table below. Is there evidence of a positive association between liking rock and liking rap
likes rap doesn't like rap
likes rock 27 6
doesn't like rock 4 17