Answer:
(a) B ∩ D' = {k}
(b) (B ∪ D)' = {s}
Step-by-step explanation:
Set Notation
[tex]\begin{array}{|c|c|l|} \cline{1-3} \sf Symbol & \sf N\:\!ame & \sf Meaning \\\cline{1-3} \{ \: \} & \sf Set & \sf A\:collection\:of\:elements\\\cline{1-3} \cup & \sf Union & \sf A \cup B=elements\:in\:A\:or\:B\:(or\:both)}\\\cline{1-3} \cap & \sf Intersection & \sf A \cap B=elements\: in \:both\: A \:and \:B} \\\cline{1-3} \sf ' \:or\: ^c & \sf Complement & \sf A'=elements\: not\: in\: A \\\cline{1-3} \sf - & \sf Difference & \sf A-B=elements \:in \:A \:but\: not\: in \:B}\\\cline{1-3} \end{array}[/tex]
Given sets:
U (universal) = {f, k, q, s, x, y, z}B = {k, q, x, y}D = {f, q, x, y, z}Part (a)
[tex]\begin{aligned}\sf B \cap D' & = \sf B \cap \left( \text{U}-D\right)\\ &= \sf \{k, q, x, y \} \cap \left(\{f, k, q, s, x, y, z \} - \{f, q, x, y, z \}\right)\\& = \sf \{k, q, x, y \} \cap \{ k, s \}\\ & = \sf \{k \}\end{aligned}[/tex]
Part (b)
[tex]\begin{aligned}\sf \left(B \cup D\right)' & = \sf \text{U}-\left(B \cup D\right)\\& = \sf \{f, k, q, s, x, y, z \}-\left(\{k, q, x, y\} \cup \{f, q, x, y, z\}\right)\\& = \sf \{f, k, q, s, x, y, z \}-\{ f, k, q, x, y, z\}\\& = \sf \{s\}\\\end{aligned}[/tex]
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Now we have to find,
→ B ∩ D'
→ (B ∪ D)'
Let's solve for the following sets,
a) B ∩ D' = ?
→ B ∩ D'
→ {k, q, x, y} ∩ ({f, k, q, s, x, y, z} - {f, q, x,y,z})
→ {k, q, x, y} ∩ {k, s} = {k}
Hence, the required set is {k}.
b) (B ∪ D)' = ?
→ B' ∩ D'
→ ({f, k, q, s, x, y, z} - {k, q, x, y}) ∩ ({f, k, q, s, x, y, z} - {f, q, x, y, z})
→ {f, s, z} ∩ {k, s} = {s}
Hence, the required set is {s}.
WILL GIVE BRAINLIEST
The difference of two numbers is 4. Their sum is 12. What are the numbers?
Answer:
^algebra^
#1). a - b=4
a=4 + b .....(equation 1)
#2) a + b=12
(4 + b) + b= 12
4 + b + b=12
4 + 2b=12
2b= 12 - 4
2b =8
b= 8:2
b=4
subtituted b in equation 1
a= 4 + b
a= 4 + 4
a=8
so, the number is 8 and 4
What is the solution to this equation?
3x - 6 = 6
O A. x = 3
O B. x = 11
O C. x = 2
O D. x = 4
please someone help
Answer:
x = 4 or D
Step-by-step explanation:
3x - 6 = 6
Solve for x
3x = 12
x = 4
Patrick graphed a square with the area of 50 square units on a coordinate plane. one of the verticles of the square is located at (5,10). which could the other three vertice of the square
Answer:
The other 3 vertices would be (10,5) , (5,0) , and (0,5)
Step-by-step explanation:
is the square root of 13/16 rational?
Answer:
its not a rational bcs 13 is non recurring decimal and not a perfect square.
HALP PLAS NEED HALP PLESAAA
Answer:
the answer is 32
Step-by-step explanation:
ywwwww
Answer:
the answer is 32..... 32
The sum of two linear functions yields a new linear function. Find the sum of f(x) and g(x) given that f(x) = 3x-7 and g(x) =-10x + 1. Call this new function h(x). Write the equation for h(x) below.
Answer:
Step-by-step explanation:
in simple language h(x) = f(x)+ g(x)
=f(x) +g(x)
h(x)=(3x-7)+(-10x+1)
h(x)= 3x-10x-7+1
h(x)=-7x-6 is yournew derived function
What does the transformation f(x)↦f(x)+3 do to the graph of f(x)?
Answer:
It moves the line up 3 units
Step-by-step explanation:
you rent an apartment that costs $1600 per month during the first year ,but the rent is set to go up 11.5% per year.what would be rent of the apartment during the 10th year of living in the apartment? round to the nearest tenth (if necessary ).
Answer:
$4,750.
Step-by-step explanation:
To determine the rental value of the apartment in the tenth year, knowing that it is worth 1,600 during the first year but that it will be adjusted annually to 11.5%, the following calculation must be made:
X = 1,600 x (1 + 0.115) ^ 10
X = 4,751.91
Thus, at ten years, rounded to the nearest tenth, the rental value will be $ 4,750.
The rent of the apartment during the 10th year of living in the apartment is 4,751.9.
Rent of the apartment:Let x represent the rent of the apartment
Hence:
x= 1,600(1 + 0.115)^10
x=1,600(1.115)^10
x=4,751.9
Inconclusion the rent of the apartment during the 10th year of living in the apartment is 4,751.9.
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Order the orange juice mixtures so that the strongest tasting one is listed first.
Claire mixes 2 1/2 cups of water with 1/3 cup of orange juice concentrate.
Han mixes 1 2/3 cups of water with 1/4 cup of orange juice concentrate.
GUYS PLEASE HELP DUE TODAY :( .
Answer:
Han's mixture, Claire's mixture
Step-by-step explanation:
I figured out the percentage of orange juice for each person's mixture:
For Claire:
2 1/2 + 1/3 = 2 5/6
2 5/6 as a decimal: about 2.8
Now find what percent of Claire's total mixture was orange juice:
100 * 1/3 / 2.8 = about 11.9%
For Han:
1 2/3 + 1/4 = 1 11/12
1 11/12 as a decimal: about 1.9
Now find what percent of Han's total mixture was orange juice:
100 * 1/4 / 1.9 = 13.2%
So, Han's mixture is stronger, since his has the higher percentage of orange juice concentrate
Find the equation of the line using the point-slope formula.
Passes through the point (-9,8) and is parallel to the graph y=8/9x + 8
Answer: y-8=8/9(x-9)
Step-by-step explanation:
If it is parallel line that means that their gradient must be the same.
Point slope formula: y - y1 = m (x - x1)
m= gradient
y1 = y point
x1 = x point
y-8=8/9(x-9)
Amber is saving money to buy a bicycle She saves $60 her
grandfather gave her, and plans to save an additional $5 each
week. How much will Amber save after w weeks?
Total savings
Use a bar diagram to represent the amount
Amber will save after w weeks.
$60
Amber will save 60 + 5w dollars
after w weeks
Money from grandfather
Weekly
savings
Reggie drives 10 miles from the airport to the highway. Once on the highway, he drives at
a speed of 55 miles per hour. What is Reggie's total distance from the airport h hours after
reaching the highway?
1. Complete the bar diagram.
Total distance
55 miles per hour
Distance
traveled to
highway
Hourly distance on highway
Answer:
Reggie travels a speed of 55 miles an hour
Step-by-step explanation:
Jada is making a square pen for her rabbit to play in. Each side of the pen is 8 feet long. The formula for the area of a square is A = s2 where A stands for the area and s is the length of one side, What is the area of the pen? O A. 64 square feet O B. 16 square feet O C. 8 square feet O D. 32 square feet
Answer:
Step-by-step explanation:
A = s2
A = (8)2
= 64
Option A is the correct answer
HELP ILL GIVE BRAINLIEST AND THANKS
I think my teacher is sleep deprived
I have actually no idea how to do this- none of the answer choices seem to be correct or maybe i'm just... anyways help me!!!
Question: -4pv+ 9= -5
a.3.5
b. -14
c. -45
Answer:
B. -14
Step-by-step explanation:
sana maka tulong ako sayo
at ano ba ang grade nyo
. Two rectangles have a ratio of similarity of 4/7. If one side of the small rectangle is 12m long, how long is the same side of the larger rectangle?
Answer:
For two rectangles to be similar, their sides have to be proportional (form equal ratios). The ratio of the two longer sides should equal the ratio of the two shorter sides.
Step-by-step explanation:
Find the value of x.
m2 = x + 67
Answer:
x=m2-67
Step-by-step explanation:
Answer:
x=m2-67
is the actual answer I
5 7\10 × 7 4\16=????? I'm trash with multypliing
9514 1404 393
Answer:
41 13/40
Step-by-step explanation:
Generally, you're told to multiply mixed numbers by converting each to an improper fraction:
5 7/10 = (5·10 +7)/10 = 57/10
7 4/16 = (7·16 +4)/16 = 116/16
The fractions are multiplied by multiplying their numerators to get the numerator of the result, and multiplying their denominators to get the denominator of the result.
[tex](5\frac{7}{10})(7\frac{4}{16})=\dfrac{57}{10}\cdot\dfrac{116}{16}=\dfrac{57\cdot116}{10\cdot16}=\dfrac{6612}{160}\\\\=41+\dfrac{52}{160}=\boxed{41\frac{13}{40}}[/tex]
__
You don't have to mess with reducing the fraction of the result if you reduce the fraction 4/16 to 1/4 to begin with. Then the product is (57/10)(29/4).
_____
Alternate solution
You can also treat this as the product of two sums. The distributive property is handy for this.
(5 + 7/10)(7 + 1/4) = (5)(7) +(5)(1/4) +(7/10)(7) +(7/10)(1/4)
= 35 +5/4 +49/10 +7/40
= 35 +1 +1/4 + 4 + 9/10 + 7/40 . . . . take out the integer parts
= 40 +10/40 +36/40 +7/40 . . . . . . use 40 as a common denominator
= 40 +53/40 = 41 13/40
Answer:
41.325
Step-by-step explanation:
:)
your answers needs to be 20 characters long-
HELP MEEEE (and dont steal its just wrong) i really need help tho.
Answer: 3) two angles are opposite angles
Step-by-step explanation:
Answer:
Angles opposite to congruent sides are congruent.
Step-by-step explanation:
According to a particular theorem:
1) Sides opposite to equal angles are congruent.
2) Angles opposite to equal sides are congruent.
Here, We have been given that LO ≅ PO
So, The angles opposite to these sides will also be equal.
Such that:
∠MOL ≅ ∠NOP
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807What is the surface area of a cube if each side length is 5 inches?
Answer:║
∨
A=150in²
Hope this helps :D
Answer:
150 inches
The surface area of a cube is the sum of the areas of its six faces:
area of one face = 5 inches × 5 inches = 25 square inches
surface area of the cube = 6 × 25 square inches = 150 square inches.
Step-by-step explanation:
How are circumference and area the same? How are they different?
lisa made 300 doller in 6 hours. find the untit rate
Answer:
Step-by-step explanation:
The unit rate is 50
Hope it helps
Mitzi received some gourmet brownies as a gift. The wrapper said each brownie was 420 calories, and had 113 calories of fat. What percent of the total calories in each brownie comes from fat?
The percent of the total calories in each brownie that comes from fat is 26.9%
What percent of the total calories in each brownie comes from fat?
We know that the total amount of calories in each brownie is 420 calories, so that number represents our 100%, then we can write the relation:
420 cal = 100%
Now, the fat has 113 calories, this is a percentage X that we want to find, so we can write:
113 cal = X
We have the two relations:
113 cal = X
420 cal = 100%
If we take the quotient we get:
(113 cal/420 cal) = X/100%
Solving for X.
(113 cal/420 cal)*100% = X = 26.9%
So, the percent of the total calories in each brownie that comes from fat is 26.9%.
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Can somebody explain this?
Answer:
(xy+5)/(xy+3)
Step-by-step explanation:
Given a ratio of rational expressions, you want the simplified version.
SimplifyingThe colon separating the two expressions is one of the ways a ratio is written. In this context, it can be replaced by "divided by" (÷). Of course, the division is carried out in the usual way: multiplying by the inverse of the denominator.
The product is simplified by cancelling common factors. This requires each of the polynomials be factored.
[tex]\dfrac{x^2y^2-4}{x^2y^2+xy-2}\div\dfrac{x^2y^2+xy-6}{x^2y^2+4xy-5}=\dfrac{x^2y^2-4}{x^2y^2+xy-2}\times\dfrac{x^2y^2+4xy-5}{x^2y^2+xy-6}\\\\=\dfrac{(x^2y^2-4)(x^2y^2+4xy-5)}{(x^2y^2+xy-2)(x^2y^2+xy-6)}=\dfrac{(xy-2)(xy+2)(xy-1)(xy+5)}{(xy-1)(xy+2)(xy-2)(xy+3)}\\\\=\boxed{\dfrac{xy+5}{xy+3}}[/tex]
please help me please please please please please please pl
Answer:
37.1 m/h, he was going over but I don't think 2 m/h is technically speeding
Step-by-step explanation:
v = 2√5(69)
v = 2 √345
v = 2 × 18.57418
v = 37.14835
v = 37.1 m/h
WILL GIVE BRAINLIEST ANSWER!
You are locked out of your house and the only open window on the second floor is 25 feet above the ground. You need to borrow a ladder from one of your neighbors. There is a bush along the edge of the house, so you will have to place the ladder 10 feet from the house. What length of the ladder do you need to reach the window?
A restaurant mixes homemade barbecue sauce with their smoked pulled pork using a ratio of two cups of sauce for every four pounds of shredded pulled pork. Write two rates to represent this relationship.
The two rates that can be used to represent this relationship are:
2 cups : 4 pounds, and 1 cup : 2 poundsWhat is a ratio?A ratio is a comparison between two numbers that can be separated with (:) sign or can be represented as a fraction. This comparison deals with the same units.
However,
A rate of a ratio deals with the comparison between different units.From the parameters given:
The ratio rates occur between the homemade barbecue and smoked pulled porkFor every 2 cups of barbecue sauce, 4 pounds of pulled pork is used.
Therefore, we can conclude that the two rates that can be used to represent this relationship are:
2 cups : 4 pounds, and 1 cup : 2 poundsLearn more about ratio here:
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True or fade. In the context of our book, the following is a true statement
Maggie and her friends played an online trivia game. Their scores at the end of the game were −1, 3, 0, −2, 1, −3, and 4 points. a. List the scores in order from greatest to least. b. Write an inequality to show the relationship between the largest and the smallest value. c. Write a statement that interprets the inequality you wrote as a statement about the relative position of those numbers on a number line.
The scores in order from the greatest to the least is 4, 3, 1, 0, -1, -2, -3.
The inequality that shows the relationship between the greatest and least number is 4 > -3.
On the number line, four is greater than -3.
What is the number listed from greatest to least?Integers are whole numbers. It is a number without a fraction or decimal component. Integers can either be positive, negative or zero. Examples from integers are 0, -1 and 1.
The farther a positive number is from zero on the number line, the greater the positive number. The closer a negative number is to zero on the number line, the greater the negative number.
For example, 10 is greater than 4 because 4 is closer to 0 when compared to 10. -4 is greater than -10 because -4 is closer to 0 than -10 on the number line.
Here are inequality signs and what they mean:
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
The sign that would be used to show the relationship between the greatest and the least number is the greater than sign (>)
4 > -3
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Please help I dont understand..
Answer:
2. A
3. H
4. D
5. C
6. G
7. E
8. F
A 97% confidence interval for the mean of a population is to be constructed and must be accurate to within 0.3 unit. A preliminary sample standard deviation is 1.4. The smallest sample size n that provides the desired accuracy is
Answer:
The sample size will be "[tex]102.5494 \sim 102[/tex]". A further explanation is given below.
Step-by-step explanation:
Let the sample size will be:
= n
The given values are:
Standard deviation,
= 1.4
ME,
= 0.3
As we know,
⇒ [tex]n=(Z \frac{a}{2}\times \frac{SD}{E})^2[/tex]
On putting the estimated values, we get
⇒ [tex]=(2.17\times \frac{1.4}{0 .3})^2[/tex]
⇒ [tex]=(\frac{3.038}{0.3})^2[/tex]
⇒ [tex]=102.5494 \sim 102[/tex]
Find the range and the interquartile for 32,33,37,32,31,36,34,31
Answer: range:6
interquartile: 3.5
Step-by-step explanation: