ξ = {numbers between 3 and 19}
P {3,4,5,67,8,10,11,12,16}
Q {3,5,6,7,9,10,12,13,17,18}
Find n(Q')
The number of elements in the Q complement set, n(Q') is 7
Sets : Calculating the number of elements in a setFrom the question, we are to determine the number of elements that are in the given set.
To find n(Q'),
First, we will determine the elements in Q'
NOTE: Q' means Q complement, that is, the elements that are present in the universal set but not in Q
The universal set is
ξ = {numbers between 3 and 19}
That is,
ξ = {3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19}
From the given information,
Q = {3, 5, 6, 7, 9, 10, 12, 13, 17, 18}
Therefore,
Q' = {4, 8, 11, 14, 15, 16, 19}
The value of n(Q') is the number of elements in the q' set
That is,
n(Q') = 7
Hence, n(Q') = 7
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A ball is thrown from a height of40 meters with an initial downward velocity of 10 . The ball's height (in meters) after seconds is given by the following.
Answer:
after 2 seconds
0=40-10t-5t^2
t^2+2t-8=0
(t+4)(t-2)=0
t=-4 or t=2
I think this is correct
Write an equation of the line using function notation.
Slope 0; through (−3,−2)
The equation of the line is f(x)=
The equation of the line having slope 0 and passing through (-3,-2) is f(x) = -2.
Any horizontal line has the same y-value for every point on the line. We are given that the line passes through the point (-3,-2). This means that f(-3) = -2, since the y-value of the point (-3,-2) corresponds to the value of the function at x = -3.
This is because no matter what x-value we plug into the function, the output (y-value) will always be -2. Therefore, the equation of the line in function notation is f(x) = -2.
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Urgent Help Please!!!
Answer:
the x = 50 degrees, just because the sum of the angles of the triangle = 180 degrees, then the ABD triangle = 50 + 78+52 = 180, also the line AC will have 180 degrees, so the sum 78 + 102 = 180, and the BCD triangle is 102+ 50+28 = 180 and the ABC triangle also is 50+102+28=180
14 subtracted from the product of a number and -3 is 25
Answer: -13
Step-by-step explanation:
This is how you would set it up:
-3x -14 = 25
Add the 14 to both sides:
-3x = 39
Divide both sides by -3 to isolate the variable (x)
x = -13
What is x, y and h ?
*Image
Answer:
u have to work out the letters by adding and timesing and then u change the letters for numbers
A+B=44, 2B-8=A. What isA? What is B? How did you reach those awnsers?
Answer:
A= B=17.3
Step-by-step explanation:
First replace A with 2B-8:
2B - 8 + B = 44
Next simplify:
3B - 8 = 44
44+8=3B
52 = 3B
B = 52/3
B= 17.3
Now find A:
2B-8=
2 x 17.3 -8=
34.6 - 8=
26.6
I hope this helps :)
A gardener wants to determine which of two brands of fertilizer is best for the plants in a garden. Before using one of the fertilizers on the entire garden, the gardener decides to conduct an experiment using 28 individual plants. Which of the two plans for randomly assigning the treatments should the gardener use? Explain.
Plan A: Choose the 14 unhealthiest-looking plants. Apply Brand X fertilizer to all 14 of those plants. Apply Brand Y fertilizer to the remaining 14 plants.
Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.
Plan A, because the unhealthy plants need the fertilizer the most and should be treated first
Plan B, because the sample of plants is randomly chosen
Plans A and B are equivalent because they both follow experimental design
Plans A and B are both poorly designed because there are not enough plants to test
The plans cannot be evaluated from the information given
Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.
What is a sample and its types?A sample is only a small portion of the population.
Let's imagine you were interested in determining the average income for all Americans in your population.
Instead of knocking on every door in America because of time and money constraints, you decide to ask 1,000 random people. Your sample consists of these a thousand persons.
Given, A gardener wants to determine which of two brands of fertilizer is best for the plants.
And the gardener decides to conduct an experiment using 28 individual plants.
Plan A will be a biased sampling and the experiment would not yield
desired results.
Therefore, The gardener should choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.
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bridge is raised so that it forms a 15° angle with the ground. It is then raised some more so that it forms a 43° angle with the ground. How many degrees was the draw bridge raised from its first position to its second position?
Answer: If you minus it the answer is -0.488692191 rad
I think
Step-by-step explanation:
How do you find the second of an angle?
The whole part of the measure of an angle in decimal degrees is the whole number of degrees. Multiplying the decimal part by 60 gives the number of minutes. If this number of minutes has a decimal part, then multiplying this decimal part by 60 gives the number of seconds.
These are my opinion
Work out Simplify if possible.
Answer:
a.1×9/1=9
b.3×5/1=15 i think this would be the answer
Answer:
a) 9
b) 15
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can
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Question 8 of 10
Which descriptions from the list below accurately describe the relationship
between ABC and DEF? Check all that apply.
Answer:
C. Same shape
D. Similar
Step-by-step explanation:
All three angles in ∆ABC are congruent to all three corresponding angles in ∆DEF. However, the three corresponding sides of both ∆s are not the same but they are proportional to each other.
This implies that, both triangles are similar.
Similar triangles have the same shape but different size.
Thus, ∆ABC and ∆DEF can be referred to as being similar and also having the same shape.
Are the figures congruent? Including more questions
Answer: Hello!
Step-by-step explanation: After measuring the two triangles I can conclude they are congruent!
Finn, tenth grader straight A student.
Have a great day.
Can anyone solve this for me?
Answer:
multiply, 12 inches per foot
Step-by-step explanation:
PLEASE HELP
Refer to the number line. Find the coordinate of point W such that the ratio of AW to WF is 1:3
The coordinate of point W should be -4 or point C such that the ratio of AW to WF is 1:3
How to solveGiven data
ratio 1:3
the ratio implies every unit WF is equal to 3 x AW.
hence every unit of AW multiplied by 3 gives WF
using equivalent of fractions in the comparison as follows
1 : 3 = 2 : 6 = 3 : 9
comparing 3 : 9 gives
For point A
Point A = - 7
point A + 3 = -7 + 3 = - 4 = point C
For point F
point F = 5
point F - 9 = 5 - 9 = - 4 = point C
\(\frac{AW}{WF} = \frac{|+3|}{|-9|} = \frac{AC}{FC}\)
Hence the coordinate of point W should be -4 or point C such that the ratio of AW to WF is equal to 1:3
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Which statement is always false?
A. All squares are rhombuses.
B. All trapezoids are quadrilaterals.
C. All rectangles are parallelograms.
D. All parallelograms are squares
PLEASE HELP QUICKLY! THANK YOU
Answer:
All parallelograms are squares
Step-by-step explanation:
Reasoning:
You can have a parallelogram with side lengths, i dont know, 5 and 3, right? That isn't a square :)
Select the correct answer. In which direction must the graph of f(x) = x be shifted to produce the graph oSelect the correct answer.
In which direction must the graph of f(x) = x be shifted to produce the graph of g(x) = f(x) - 4?
A.
left and down
B.
right and up
C.
down
D.
upf g(x) = f(x) - 4? A. left and down B. right and up C. down D. up
Answer:
A. down
Step-by-step explanation:
The parent graph is
f(x)=x
If this graph is transformed to obtain
g(x)=f(x)−4
The subtracttion means the graph will shift downward vertically
The graph of g(x) is obtained by shifting f(x) down by 4 unit.
Therefore the direction is down.
Mark this as brainliest please.
How many ounces are in 2 pounds
Answer:
the answer is 32 ounces
Answer:
In 2 pounds, there are 32 ounces.
Explanation:
1 pound = 16 ounces
The HCF of three numbers is 8 and the sum of these numbers is 80. List the possible set of such three numbers.
Let's denote the three numbers A, B, and C.
Given that the highest common factor (HCF) of these three numbers is 8 and their sum is 80, we can consider possible combinations of numbers that satisfy these conditions.
Since the HCF is 8, all three numbers must be divisible by 8. Additionally, the sum of the numbers is 80, so we need to find combinations of three numbers that satisfy both conditions.
Let's list the possible combinations:
(8, 16, 56): In this case, A = 8, B = 16, and C = 56. All three numbers are divisible by 8, and their sum is 8 + 16 + 56 = 80.(16, 8, 56): Here, A = 16, B = 8, and C = 56. Again, all three numbers are divisible by 8, and their sum is 16 + 8 + 56 = 80.(24, 8, 48): In this combination, A = 24, B = 8, and C = 48. All three numbers are divisible by 8, and their sum is 24 + 8 + 48 = 80.(8, 24, 48): Similarly, A = 8, B = 24, and C = 48. All three numbers are divisible by 8, and their sum is 8 + 24 + 48 = 80.These are the four possible sets of three numbers that satisfy the given conditions: (8, 16, 56), (16, 8, 56), (24, 8, 48), and (8, 24, 48).
select all the expressions that are equivalent to 64^2/3
Answer:
1365 + 1/3 or
1365.3333
Step-by-step explanation:
64^2/3=
4096/3=
1365 + 1/3
what is the slope and the y intercept of y= -9x + 15
Answer:
Step-by-step explanation:
the slope for y = -9x + 15
Slope: -9
y-intercept: y= -9(0) + 15 = 0 + 15 = 15
(0, 15)
Answer:
-9
(0, 15)
Step-by-step explanation:
y = mx + c
y = -9x + 15
so m = -9
y intercept is when x = 0
c = 15
(0, 15)
Solve 15x - 10y = -30 and 5x - 9y = 7 using elimination. Show Steps. Put answer in coordination form (x,y)
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The coordinates are (0, 3) or (34/5, 3)
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
15x - 10y = -30 _____(1)
5x - 9y = 7 ______(2)
Multiply 3 on (2)
15x - 27y = 21 _____(3)
Using the elimination method we get,
From (1) and (3) we get,
15x - 10y = -30
15x - 27y = 21
(-) (+) (-)
17y = 51
This means,
y = 51/17
y = 3
Now,
Put y = 3 in (1) we get,
15x - 10y = -30
15x- 10 x 3 = -30
15x - 30 = -30
15x = 0
x = 0
Put y = 3 in (2) we get,
5x - 9y = 7
5x - 9 x 3 = 7
5x - 27 = 7
5x = 7 + 27
5x = 34
x = 34/5
Thus,
The coordinates are (0, 3) or (34/5, 3)
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Which inequality is represented by this graph?
Answer:
x>0
Step-by-step explanation:
.0135÷4.5??? help!!
Answer:
0.0135/4.5 = 0.003
Good night
what is 2 over x to the power of 2 equivilent to
The equivalent exponential expression for this problem is given as follows:
(2/x)² = 4/x².
How to obtain the equivalent exponential expression?The expression for this problem is defined as follows:
(2/x)².
We have a fraction that is squared, meaning that both the numerator and the denominator are squared, hence:
2² = 4.x².This means that the equivalent exponential expression for this problem is given as follows:
(2/x)² = 4/x².
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Which linear inequality is represented by the graph?
O y < 3x + 2
Oy> 3x + 2
Oy< 1/3x + 2
O y>1/3x+2
Answer:
\(y> 3x + 2\)
Step-by-step explanation:
Hope it is helpful....
The linear inequality that represents the given graph is y > 3x + 2.
The solutions to the graph of the inequalities is given as;
(x, y) = (0, 2)
(x, y) = (-3, -7)
To determine the inequality represented in the graph;
Using option A, when x = 0, y < 2 (this is not same as the graph)Using option B, when x = 0, y > 2 ( same as the graph)Using option B, when x = -3, y > -7Thus, the linear inequality that represents the given graph is y > 3x + 2.
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Veronica buys a shirt for $22.00. If the sales tax is 5.5%,
what is the total price Veronica pays for the shirt
including tax?
Answer:
Step-by-step explanation:
22*5.5%=1.21 tax
22.00+1.21= $23.21
Answer:
23.00
Step-by-step explanation:
smartness lol
Please look at the photo. Thank you!
The zeros with each multiplicity are given as follows:
Multiplicity one: x = 6.Multiplicity two: x = 11.Multiplicity three: x = -6 and x = -5.How to obtain the multiplicities?The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
Considering the linear factors of the function in this problem, the zeros are given as follows:
(x + 6)³ -> zero at x = -6 with multiplicity of 3.(x - 11)² -> zero at x = 11 with multiplicity of 2.x - 6 -> zero at x = 6 with multiplicity of 1.(x + 5)³ -> zero at x = -5 with multiplicity of 3.More can be learned about the Factor Theorem at brainly.com/question/24729294
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please help.
definitions: 1. definition of right triangle
2. definition of isosceles TrianglesReflexive
3. HL
4. definition of perpendicular
5. CPCTC
6. reflexive
From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC
How to solve two column proof problems?The two column proof to show that ∠BAC ≅ ∠DAC is as follows:
Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD
Reason 1: Given
Statement 2: AB ≅ AD
Reason 2: Definition of isosceles Triangles
Statement 3: ∠1 and ∠2 are right angles
Reason 3: Definition of perpendicular
Statement 4: AC ≅ AC
Reason 4: Reflexive Property
Statement 5: ΔABC and ΔADC are right triangles
Reason 5: Definition of right triangle
Statement 6: ΔABC ≅ ΔADC
Reason 6: HL Congruency
Statement 7: ∠BAC ≅ ∠DAC
Reason 7: CPCTC
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The data show the daily high temperature in a town every day for a week.
Mon: 76∘F
Tue: 78∘F
Wed: 81∘F
Thu: 74∘F
Fri: 69∘F
Sat: 69∘F
Sun: 70∘F
How can you find the experimental probability that the high temperature on a given day was warmer than 75∘F?
a. Count the number of days with temperatures below 75∘F and divide that number by 75∘F.
b. Count the number of days with temperatures above 75∘F and divide that number by the number of days with temperatures below 75∘F.
c. Count the number of days with temperatures above 75∘F and divide that number by 75∘F.
d. Count the number of days with temperatures above 75∘F and divide that number by the number of days in the week.
The correct option regarding how to find the experimental probability that the high temperature on a given day was warmer than 75∘F is:
d. Count the number of days with temperatures above 75∘F and divide that number by the number of days in the week.
How to calculate a probability?The probability of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.
In the context of this problem, these outcomes are obtained as follows:
Desired outcomes: Number of days with temperatures above 75∘F.Total outcomes: Total number of days in the week.The experimental probability is calculated when these outcomes are taken from a data-set, as is the case in this problem, hence option d is correct.
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i need to know whether it is the minimum or maximum function and what that number is as well as where x axis intercepts the quadratic graph . i need to know if there are any roots in the quadratic graph, and i need to know when y=1 , the value of x could be x= or x=
Answer:
The minimum value of this quadratic function is -4.
At the point (-4, 0), the x-axis intercepts with the quadratic graph.
There is 1 root of this quadratic equation.
Approximately, when y=1, the x value could be -5 or -3.