The union of the sets is { 22, 33, 44, 55, 66 }
What is the union of sets?The union of sets can be defined as the sum of the elements of two or more sets without repetition of those elements.
It is also known as the combination of the all the elements of two or more sets.
It is denoted using the symbol , ' ∪ '
Given the sets;
(22, 33, 44, 55)(66, 44, 22}The union of the sets is:
{ 22, 33, 44, 55, 66 }
Thus, the union of the sets is { 22, 33, 44, 55, 66 }
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Luis is helping to make tacos for a school fundraiser. He needs to buy tortillas. Happy Grocery sells small packs of 20 tortillas for $4.40 and large packs of 45 tortillas for $8.55. Luis has been given $48 to spend on tortillas. Fill in the blanks to complete the statements. Tortillas The unit price for the small pack is $ A per tortilla. The unit price for the large pack is $ B per tortilla.
Answer:
A. $0.22 per tortilla
B. $0.19 per tortilla
Step-by-step explanation:
A. All you gotta do is divide the money by the amount of product.
4.40 ÷ 20 = 0.22
B. All you gotta do is divide the money by the product.
8.55 ÷ 45 = 0.19
Therefore, the best pack to spend your money on would be the larger pack B.
Identify a pattern in each list of numbers. Then use this pattern to find the next number. 5, 12, 33, 96, 285, ___
Answer:
852
Step-by-step explanation:
You want the next number in the pattern that starts with 5, 12, 33, 96, 285.
PatternWhen looking for patterns in sequences, it is often useful to consider first differences and the relations between them.
12 -5 = 7
33 -12 = 21
96 -33 = 63
285 -96 = 189
We notice that these differences have a common ratio of 3. This suggests the next difference will be 189×3 = 567.
The next number in sequence is 285 +567 = 852.
__
Additional comment
When differences have a common ratio, an exponential sequence is indicated. These differences have a ratio of 3, but are not powers of 3, so the exponential term needs additional components to completely describe the sequence. We expect there are horizontal and vertical offsets involved.
Exponential regression gives the explicit formula as ...
y = (3 +7·3^(x-1))/2
The perimeter of a rectangle is 28 cm. Which of the following express the area of the rectangle in terms of the width x?
Answer:
14x−x
2
Step-by-step explanation:
Perimeter is 2x + 2y = 28 (y is the length BTW)
To find y, transfer equations
28-2x=2y
Divide both sides by 2
14-x = y
Now you have your length in terms of x
Multiplt length and width
x(14-x)
14x - x {}^{2}14x−x
2
Calculate the area of a rhombus with vertices A(0,-5), B(9,2), C(12,13), and D(2,7) to the nearest tenth of a unit.
Answer:
93 square units (the figure is not a rhombus)
Step-by-step explanation:
You want the area of the figure whose vertex coordinates are A(0,-5), B(9,2), C(12,13), and D(2,7).
Area from coordinatesThe formula for the area of a polygon based on its coordinates might be written ...
[tex]\displaystyle A=\frac{1}{2}\left|\sum_{k=1}^n{x_k(y_{k+1}-y_{k-1})}\right|[/tex]
where coordinate indices wrap around from the end to the beginning.
Using this formula, we find the area to be ...
A = 1/2|0(2-7) +9(13-(-5)) +12(7-2) +2(-5-13)|
A = (1/2)|0 +162 +60 -36| = 1/2(186) = 93
The area of the figure is 93 square units.
DiagonalsThe area of a rhombus could be calculated as half the product of the lengths of the diagonals. This is only true because the diagonals of a rhombus cross at right angles.
Here, the differences between diagonally opposite coordinates are ...
AC = (12, 18) . . . . slope = 18/12 = 3/2
BD = (-7, 5) . . . . slope = 5/-7 = -5/7
If the diagonals are perpendicular, their slopes have a product of -1. Here, the product is ...
(3/2)(-5/7) = (-15/14) ≠ -1
The given figure is not a rhombus.
If we assume the diagonals are perpendicular, then the area would be ...
A = 1/2√(12²+18²)√((-5)²+7²) = 1/2√34632 ≈ 93.048
Rounded to the nearest tenth, this area would be 93.0 square units.
The diagonals actually cross at an angle of about 88.152°, so the area is actually ...
93.048·sin(88.152°) = 93 square units (exactly)
(Development of this formula is beyond the scope of this answer.)
Which graph shows a function where f(2)=4?
Answer:
The correct option is 1.
Step-by-step explanation:
We have to find a function where f(2)=4. It means the value of function is 4 at x=2.
In graph 1, the value of function is 4 at x=2, therefore option 1 is correct.
In graph 2, the value of function is -4 at x=2, therefore option 2 is incorrect.
In graph 3, the value of function is not shown in the graph at x=2, therefore option 3 is incorrect.
In graph 4, the value of function is not shown in the graph at x=2, therefore option 4 is incorrect.
Thus, correct option is 1.
Help please im stuck
Answer: 7.2 hours
Step-by-step explanation:
the interval for each number on the number line is 2.4 because 12 divide by 5 intervals = 2.4
and 2.4 x 3 = 7.2
First you need to find out how long it takes to cook a single kilogram of meat, by doing 12/5 you get 2.4 for one kilo of meat. Now you need to multiply 2.4 by 3 and you will get 7.2, so you can either put 7.2 hours or that converts to 7 hours and 12 minutes.
The larger room is twice as wide as the smaller room which is 29 3/4’. How wide is the
larger room?
Based on the fact that the larger room is twice as wide as the smaller room, the width of the larger room is 59¹/₂ inches.
How wide is the larger room?The larger room is twice the width of the smaller room.
If the smaller room is 29³/₄ inches therefore, the width of the larger room will be:
= Width of smaller room x 2
Solving for the width of the larger room gives:
= 29³/₄ x 2
= 29.75 x 2
= 59.50
= 59¹/₂ inches
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Un poste mide 150 centímetros y está pintado de azul, rojo y amarillo. La parte pintada de azul es 2/5 del poste, la parte pintada de rojo es 1/2 de la pintada de azul, y lo que resta está pintado de amarillo ¿cuánto mide cada parte?
A 150 cm post is painted in shades of azure, red, and amber. The blue portion of the post is two-fifths of the way up, the red portion is one-half of the blue portion, and the remaining portion is painted in amarillo. What does each part weigh?
71 forms
First, we'll determine how many different ways the five cubes may be arranged in a column using the multiplicand rule:
5 * 4 * 3 * 2 * 1 = 120
We have five cubes to place at the base of the column, four for the second position, three for the third position, and so on until all the cubes are organized.
Then we'll calculate how many different ways we may arrange the five cubes so that they'reBlue cubos twirl around one another. In this case, we would count the two blue cubes as though they were only one, which means that we would only have "4 cubes" and be able to arrange them in 24 different ways:
4 * 3 * 2 * 1 = 24
On the other hand, the two blue cubes can be arranged in one of two different ways: first the clear, then the dark, or first the dark, then the clear.
That is to say, there are 24 different ways to arrange the cubes so that the light comes on first and the dark follows, and there are 24 different ways to arrange the cubes so that the dark comes on first and the light follows.
This means that 48 of the 120 ways to organize the five cubes contain the cubes. 72 (120-48) formas los dos cubos azules no se tocan entre sí.
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A movie company spent $12,000,000 making a feature film. If tickets to see the movie cost $8.00 each, determine the number of tickets that must be sold in order for the company to break even
Answer: They will need to sell 1,500,000 to break even.
12,000,000 / 8 is 1,500,000
If ST = 5, TU = 2x, and SU = x + 9, what is SU? geometry
Answer:
Do like this:
Step-by-step explanation:
x+9=5+2x
and
2x-x=9-5
x=4
PLS HELP THANK YOU VERY MUCH
Given AB, explain how to construct a square with sides of length AB.
Answer:
because it is a square, you just need to make a square with the side lenghts all being a or b
Step-by-step explanation:
(x³- 3x²+2x+1)/x²-4x+4 dx (dx/dy) + (x²+4y-y²)/(²√4y+y²)
Step-by-step explanation:
y=1
x=1
jsjwoqoqoqpqowowoqoao
What is the meaning of selling price?
Answer:
noun. Britannica Dictionary definition of SELLING PRICE. [singular] : the price for which something actually sells. They asked $200,000 for the house, but the eventual selling price was $175,000.
Identify the values of a, b, and c that could be used with the quadratic formula to solve the equation. Enter a as a positive
integer value.
x²=8(x-5)
Answer:
See below
Step-by-step explanation:
Expand to get x^2 - 8x + 40 = 0
a = 1 b = -8 c = 40
Please hurry due today I will give brainlest
Solve for c. a = 11+4b-4c
Answer:
yes i think thats right
Step-by-step explanation:
if not then it might be b
The regular pentagon shown is rotated clockwise about center point P.
●P
Choose all degrees of rotation that will carry the regular pentagon onto itself.
A. 72°
B. 90°
C. 108°
D. 144°
E. 216°
Answer:
A. 72°
D. 144°
E. 216°
Step-by-step explanation:
are you tempted to calculate the internal angles ?
that is, I guess, the trap set by your teacher here, and it would be the wrong approach.
nevertheless, quickly just as a reminder :
the sum of all internal angles in a polygon is
(n - 2)×180°
n being the number of sides.
in our case that is
(5 - 2)×180 = 3×180 = 540°
so, each internal angle is 540/5 = 108°.
but we are not turning at an edge or vertex. no, we are turning the pentagon around is central point.
we are running each vertex along a circle arc. the center of that circle being P.
after every 1/5 of the circle arc there is a vertex of the pentagon.
and whenever we rotate one vertex on top of the next one, we carry the pentagon visually onto itself.
so, instead of a full circle rotation we need only 1/5 of that :
360 / 5 = 72°
and with every additional 1/5 of the circle arc (or 72°) we get it again.
that means at
72°
144°
216°
288°
360°
the pentagon carries onto itself.
therefore, A, D and E are correct.
Write a subtraction expression using integers that equals -6
Is there a difference between [tex]-\frac{x}{y}[/tex] and [tex]\frac{-x}{-y}[/tex] ?
Do they mean different things?
There is a difference between the expressions -x/y and -x/-y
How to determine if there is a difference between the expression?The expressions are given as:
-x/y and -x/-y
When the expression -x/-y is evaluated, we have:
-x/-y = x/y
This means that
-x/y = -x/y
-x/-y = x/y
When the above expressions are compared, we can see that both expressions are not equal
Hence, there is a difference between the expressions -x/y and -x/-y
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A serviceman charges ₱450 per hour for doing mechanical jobs. How much does he get for 6.75 hours of doing the job?
Pa help po
Answer:
450×6.75 = 2 956.5
So the serviceman will get 2 956.5 after 6.75 hours of doing the job
ALGEBRA 1 HW!! PLEASE HELP I WILL GIVE BRAINLYEST also pls explain what the heck an explicit formula is..
Answer:
explicit formula is a mix of different upgraded formulas
Step-by-step explanation:
4.
A standard glass of wine is 5 oz. How many full glasses of wine can you get from a typical 750 ml bottle?
full 5-oz glasses of wine.
Answer:
5
Step-by-step explanation:
750ml= 25 fluid oz each glass is 5oz
5/25=5oz
Guided Practice #1
Damaya is baking pies. For every 2 cups of flour, she uses 3
cups of sugar. How many cups of sugar will she need if she
uses 12 cups of flour? Model your answer on the double
number lines below.
0
O.
G
E
Answer:
18 cups of sugar
Step-by-step explanation:
I don't see any answer choices in your post but assuming it she has to use 3 cups of sugar for every 2 cups of flour, then that would mean she has to use 3/2 cups of sugar for every 1 cup of flour.
So if she uses 12 cups of flour she will have to use (3/2) x 12 = 18 cups of sugar
Q1. Elizabeth has a bunch of red, yellow and white roses.
She chooses a rose at random.
The probability that she chooses a yellow rose is 0.1
The probability that she chooses a white rose is 0.2
(a) What is the probability that Elizabeth chooses a rose that is either yellow or
white?
(b) What is the probability that Elizabeth chooses a red rose?
(c) There were ten roses in the bunch originally
How many roses were red?
Answer:
a) 0.02
b) 0.7
c) 7
Step-by-step explanation:
0.2 × 0.1
1 - (0.2 + 0.1)
10 - (2+1)
If √x = 9, then x is between
O 80 and 90
O 4 and 5
O 2 and 3
O 15 and 20
Answer:
80 and 90
Step-by-step explanation:
[tex]\sqrt{x}=9 \implies x=9^2=81 \implies 80<x<90[/tex]
how does the vertical line test work?
Answer:
To see if something is a function, just draw lines down the graph, if it touches the line twice, then that means it does not pass the vertical line test, meaning it is not a function
(By the line, I mean what you wrote on the paper,)
For example, a parabola is a function, because when you do the vertical line test, it only touches the line at one point, and not two,
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
(I included a picture that should help explain better)
PACKS
(MP) Attend to Precision Write the numbers 108,567;
107,658; and 107,568 in order from least to greatest.
The arrangement is as follows 107,568 ; 107,658 ; 108,567
What is ascending order?Ascending order is an arrangement from smallest to largest value.
Given:
108,567; 107,658; and 107,568
We have to arrange these numbers from least to greatest
smallest number = 107,568
largest number = 108,567
Hence, the arrangement is 107,568 ; 107,658 ; 108,567
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ome Tax A certain state uses the following progressive tax rate for calculating individual income tax: Income Range ($) 0 - 2000 2001 - 9000 Progressive Tax Rate 2% 5% 9001 and up 5.4% A Calculate the state income tax owed on a $30,000 per year salary. tax = $[?] Round your answer to the nearest whole dollar amount. Enter
The state income tax owed on a $30,000 per year salary is $1,524
What are the applicable tax rates?
The applicable tax rates are that the first $2,000 of taxable income is taxed at 2%, such that $9000 minus the earlier $2000, is taxed at 5% and any taxable income beyond $9,000 is taxed at 5.4%, in essence, the income tax owed by a taxpayer whose taxable income is $30,000 is computed thus:
income tax on first threshold=$2000*2%=$40
income tax on second threshold=($9000-$2000)*5%=$350
income tax on the last threshold=($30,000-$9,000)*5.4%=$1,134
total state income tax owed=$40+$350+$1,134
total state income tax owed=$1,524
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What are the solutions to the inequality (x-3)(x+5) ≤0?
O {x| 3≤x≤5}
O {xl-5≤x≤-3}
O x1-5≤x≤ 3}
O {xl-3≤x≤5}
Answer: -5<=x≤3 ==> 3rd option
Step-by-step explanation:
(x-3)(x+5)≤0
x-3>=0 and x+5≤0
x>=3 and x≤-5 ==> Not possible since a number subtracted by 3 can't be greater than the same number added by 5.
x-3≤0 and x+5>=0
x≤3 and x>=-5 ==> -5<=x≤3 ==> 3rd option
The solution to the inequality is {x | -5 ≤ x ≤ 3}, option C is correct.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is (x-3)(x+5) ≤0
To solve this inequality, we first find the critical points by setting the expression inside the inequality to zero:
(x-3)(x+5) = 0
This gives us two critical points: x=3 and x=-5.
We want to find where the expression is less than or equal to zero, so we include the endpoints of the intervals where the expression is zero or negative.
Hence, the solution to the inequality is {x | -5 ≤ x ≤ 3}, option C is correct.
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Create a scaled copy of ABCD using a scale factor of 2.
The coordinates of the scaled copy of the quadrilateral ABCD using a scale factor of 2 are A'(x, y) = (1, 9), B'(x, y) = (5, 9), C'(x, y) = (3, 5) and D'(x, y) = (1, 7).
How to create a scaled copy of a quadrilateral
A picture of the original quadrilateral ABCD is attached aside and we are asked to generated a scaled copy of the quadrilateral ABCD using a scale factor of 2. First, we generate two orthogonal axes (x, y) and we assume that the center of dilation is at point A.
The coordinates of each point of the original quadrilateral are A(x, y) = (1, 9), B(x, y) = (3, 9), C(x, y) = (2, 7) and D(x, y) = (1, 8).
Second, determine the coordinates of the new quadrilateral by using the dilation formula:
P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]
Where:
k - Scale factorO(x, y) - Center of dilationP(x, y) - Original pointP'(x, y) - Dilated pointIf we know that O(x, y) = (1, 9) and k = 2, then coordinates of the dilated point are:
A'(x, y) = (1, 9) + 2 · [(1, 9) - (1, 9)]
A'(x, y) = (1, 9)
B'(x, y) = (1, 9) + 2 · [(3, 9) - (1, 9)]
B'(x, y) = (1, 9) + 2 · (2, 0)
B'(x, y) = (1, 9) + (4, 0)
B'(x, y) = (5, 9)
C'(x, y) = (1, 9) + 2 · [(2, 7) - (1, 9)]
C'(x, y) = (1, 9) + 2 · (1, - 2)
C'(x, y) = (1, 9) + (2, - 4)
C'(x, y) = (3, 5)
D'(x, y) = (1, 9) + 2 · [(1, 8) - (1, 9)]
D'(x, y) = (1, 9) + 2 · (0, - 1)
D'(x, y) = (1, 9) + (0, - 2)
D'(x, y) = (1, 7)
The coordinates of the scaled copy of the quadrilateral ABCD using a scale factor of 2 are A'(x, y) = (1, 9), B'(x, y) = (5, 9), C'(x, y) = (3, 5) and D'(x, y) = (1, 7).
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expressions that are equivalent to k/2
A: k-2
B: 2/k
C: 1/2 k
D: k/2
E: k+k
The correct option is D: k/2 is the expression that is equivalent to the expression, K/2.
What is defined as the equivalent expressions?Two equations are equivalent unless and until they produce the same result for all matching variable values. As a result, we can determine whether 2 expressions seem to be equivalent by putting in many distinct corresponding values of the variables to ensure that each expression returns the same value in every instance.If we enter matching variable values into two mathematical expressions and get a different result from each expression, the two expressions really not equivalent.In response to the question;
We must determine the expression that is equivalent to k/2.
Among the options, Option D: k/2 is same as expression K/2.
Choice C, when written as (1/2)k, is equivalent to k/2 since they both imply half of k.
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