The value of the union of all three sets is (∪∪) = 325.
What is the value of (∪∪) when given specific values for individual sets and their intersections?
Given the information provided, we have three sets: A, B, and C, with corresponding values of A = 100, B = 200, and C = 300.
Additionally, the intersections of these sets are given as A∩B = 10, A∩C = 15, and B∩C = 20. Lastly, the intersection of all three sets (∩∩) is 5.
To determine the value of the union of all three sets (∪∪), we can use the principle of inclusion-exclusion.
According to this principle, (∪∪) = A + B + C - (A∩B) - (A∩C) - (B∩C) + (∩∩).
Substituting the given values, we get (∪∪) = 100 + 200 + 300 - 10 - 15 - 20 + 5 = 325.
Therefore, the value of (∪∪) is 325.
Learn more about principle of inclusion-exclusion
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15. Which of the following systems represent the graph shown?
A) 2x + 3y < 6
-x + y > -4
B) 2x + 3y _> 6
-x + y _> -4
C) x + y >_ 4
2x - 3y <_ 6
D) x + y > 4
2x - 3y < 6
Write the point-slope form of the equation of the line through the given point with the given slope. through: (2, 2), slope = 3
Answer:
y-2=3(x-2)
Step-by-step explanation:
point slope form:
y-y₁=m(x-x₁)
y-2=3(x-2)
A 30 ft water slide forms a 45 degree angle with their surface of the water. How high is the top of the slide bouncer nearest whole number
Answer:
21ft
Step-by-step explanation:
sin(45°)=height/30
height=30sin(45°)
h=30×√2/2=15√2≈21.213(21ft to the nearest whole)
The height should be 21 ft.
Given that,
A 30 ft water slide forms a 45 degree angle with their surface of the water.Based on the above information, the calculation is as follows:
[tex]sin(45^{\circ})=height\div 30\\\\height =30sin(45^{\circ})\\=30\times \sqrt 2\div 2\\\\=15\sqrt 2[/tex]
≈21.213
= 21 ft
Learn more: brainly.com/question/17429689
Mark's father was putting in a new kitchen floor. The dimensions were 8 feet by 12 feet. If each tile was 1 square foot,
how many tiles dld he need?
87tiles 96tiles 78tiles
Answer:
96
Step-by-step explanation:
Total area is 12*8=96 square feet
Each tile is 1 square foot
The required tiles are therefore 96/1=96
En que bote se hizo más Rosa más intenso en el de pintura roja y blanca en el cada color
What is the circumference of a circle with a diameter of 15 inches
Answer:
C=47.1
Step-by-step explanation:
take the diameter(15) and multiply it by pi(3.14).
15 x 3.14 = 47.1
A student answered 40 problems on a test correctly and received a grade of 80%. How many problems were on the test, if all the problems
were worth the same number of points?
Answer:
Step-by-step explanation:
80x/100 = 40
80x = 4000
x= 50 problems
Answer:
50 problems
Step-by-step explanation:
40÷2 =20 = 40% 20÷2 =10 = 20%
if 10 =20% then 10 × 5 = 50 or 80%
(overthinking)
HELP ME IT WOULD MEAN A LOT
Answer:
123
Step-by-step explanation:
72+51=123
123 - 72 = 51
Answer:
72+51=123
123 - 72 = 51
Step-by-step explanation:
Evaluate y + (x2 + y) when x = 0.4, y = 3, z =
Answer:
6.16 is the answer
Step-by-step explanation:
3 + (.4^2 + 3)
3 + 3.16
6.16
can anyone help with this???
Answer:
X= 13
A=104
C=26
Step-by-step explanation:
the equation is 8x+2x+50=180
10x=130
x=13
Please help due today
Answer:
14 miles
Step-by-step explanation:
3 + 4 + 3 + 4 = 14
Spencer had a sack filled with 65 9/10 pounds of cement. He removed some of the cement from the sack and put it into three buckets. He put 8 1/10 pounds of cement in each bucket. Spencer says he has about 42 pounds of cement left in the sack. Is his statement reasonable?
Answer:
No the statement isnt reasonable
Step-by-step explanation:
5xy4 25x2y 5x2y2 What is the greatest common factor (GCF) of the monomials shown above?
Answer:
5xy
Step-by-step explanation:
I'm going out on a limb and assuming exponents.
[tex]5xy^{2} \\25x^{2}y \\5x^{2} y^{2}[/tex]
We can note that 5 is a common factor for the coefficients. All the terms share at least one x. All the terms share all least one y. So the GCF of these monomials is 5xy.
How do you solve this equation for x?
-3(x+4) = x - 4
Step-by-step explanation:
(x+4)-x=-4+3
X+4-x = -1
x-x = - 1-4
-x = - 5
Tell me if this is right or wrong and if you can you fix it
Answer:
Your answers are correct; decreases by 31.50
Step-by-step explanation:
help me please :> I would really appreciate it.
Answer:
no
yes
no
Check to see if your equation has exponents. If it has exponents, it is nonlinear. If your equation has no exponents, it is linear.
Hope it helped!!!
Can someone help me please
I’ll mark as brainliest
Answer true
Step-by-step explanation:
I NEED HELP AGAIN 4.0
Answer:
Move the dot at the axis one to the left and one down move the other dot to (7,0)
Step-by-step explanation:
Find the dot at the origin (0,0)
Move it to (-1,-1) which is one unit to the left and one unit down.
Select other dot and place it at (7,0)
Click submit
What is 5n = 185 what’s the n=__?
249 = 3y y=__?
-6w = 354 w=__?
1. n = 37
isolate n by dividing both sides by 5
2. y = 83
isolate y by dividing both sides by 3
3. w = -118
isolate w by dividing both sides by -6
m-3/18=11/18 What is m??
Answer:
I think m is a variable
Step-by-step explanation:
because a variable is a letter representing a unknown amount
Step-by-step explanation:
hope this will help you.
(5x^2-4X + 7) - (4x + 2)
Guys help please I need this done in like 5-10 mins I will mark u brainliest please
Answer:
HI
Step-by-step explanation:
U got this (:
Answer:
1/4
Step-by-step explanation:
rise=y it takes him 4 minutes to run 1 km so rise over run would be 1//4
run=x
and him running 1 minute is half a meter
or do you need slope fomula
this is not the clearest photo so it might be wrong but i hope this clears some up please mark brainlest
If you answer correctly the first one will get brainliest so plz answer correctly Which process in photosynthesis uses energy from the sun?(1 point) A splitting water into hydrogen and oxygen B combining carbon dioxide and hydrogen C absorbing carbon dioxide D releasing oxygen
Answer: A. splitting water into hydrogen and oxygen
Step-by-step explanation:
Photosynthesis is the process by which plants produce glucose by reacting carbon dioxide and water in the presence of sunlight. Chlorophyll which gives the plant its green color, traps sunlight and uses it to split water molecules into their constituent molecules of hydrogen and oxygen.
Glucose is then synthesized from these molecules and used in respiration to release energy for the plant.
A, splitting water into hydrogen
If the FDIC has an insurance fund of $67.8 billion and must use 7.6% of it to cover several failed banks, approximately how much money is left in the fund?
Answer: D
Step-by-step explanation: correct on edg 2021
Shane took out a 5.5-year loan from the bank in order to purchase at $12,000 motorcycle. At the end of the loan, he had paid $3267 in interest. Find the interest rate. Help me please
Answer:
4.95%
Step-by-step explanation:
3,267 ÷ 5.5 = $594 interest per year
$594 ÷ $12,000 = 0.0495 aka 4.95%
evaluate the following expression 10x(-9+(-6))
Answer:
-150x
Step-by-step explanation:
Find the midpoint of a and b when a has coordinates (-5,3) and b has coordinates (3,-1)
Answer:
(-1,1)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates and divide by 2
(-5+3)/2 = -2/2 = -1
To find the y coordinate of the midpoint, add the y coordinates and divide by 2
(3+-1)/2 = 2/2 = 1
(-1,1)
make ,me as brainlist
Other option
B: 74.9
C: 15.1
D: 15.7
Step-by-step explanation:
cosine of B = adjacent/hypot
to find hypotenuse use a^2+b^2 = c^2
which is 5 (it's a 3,4,5 triangle so it's easy)
Cosine B= 4/5
A running race follows a triangular course. The first leg of the race is in a straight line, covering 4.4km. Runners turn an angle of 79 deg for the second leg, and then turn again 77 deg to head back to the start line to finish the race. What is the length of the entire race, to the nearest tenth of a kilometer?
Answer:
The length of the entire race is 9,5km
Step-by-step explanation:
Required
Determine the length of the race.
To aid my explanation, I have added an attachment which shows the triangular course.
From the attachment, we have:
A as the starting point and the following measurement;
[tex]\angle B = 11^{\circ[/tex]
[tex]\angle C = 13^{\circ} + 79^{\circ} = 92^{\circ[/tex]
[tex]\angle A + \angle B + \angle C = 180^{\circ}[/tex]
[tex]\angle A = 180^{\circ} - (\angle B + \angle C )[/tex]
[tex]\angle A = 180^{\circ} - (11^{\circ}+92^{\circ})[/tex]
[tex]\angle A = 77^{\circ}[/tex]
[tex]\angle B = 11^{\circ[/tex]
[tex]\angle C = 92^{\circ[/tex]
[tex]c = 4.4km[/tex]
Apply sine rule
[tex]\frac{a}{sin\ A} = \frac{b}{sin\ B} = \frac{c}{sin\ C}[/tex]
[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = \frac{4.4}{sin\ 92^{\circ}}[/tex]
[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = \frac{4.4}{0.9994}[/tex]
[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = 4.403[/tex]
Split to solve for a and b
[tex]\frac{a}{sin\ 77^{\circ}} =4.403[/tex]
[tex]\frac{b}{sin\ 11^{\circ}} = 4.403[/tex]
Make a the subject
[tex]\frac{a}{sin\ 77^{\circ}} =4.403[/tex]
[tex]a = 4.403 * sin(77^{\circ})[/tex]
[tex]a = 4.403 * 0.9744[/tex]
[tex]a = 4.3km[/tex]
Make b the subject
[tex]\frac{b}{sin\ 11^{\circ}} = 4.403[/tex]
[tex]b = 4.403 * sin(11^{\circ})[/tex]
[tex]b = 4.403 * 0.1908[/tex]
[tex]b = 0.8km[/tex]
The length of the race is:
[tex]Length = a + b + c[/tex]
[tex]Length = 4.3km + 0.8km + 4.4km[/tex]
[tex]Length = 9.5km[/tex]
You guessed the height of the building to be 23 feet, but it was actually 35 feet. What was your percent error? Round to the nearest WHOLE percent
please round to WHOLE
Answer:
34%
Step-by-step explanation:
35 - 23 = 12, so the guess is off by 12/35.
To find the percentage, divide 12 by 35, which is approximately 34%.