The given set is {0, 1, 2, 6, 7}. Using De Morgan's laws, we can find the indicated set.
First, let's find A'. A' represents the complement of set A with respect to the universal set U. The elements that are not in set A are {0, 3, 5, 6, 8}.
Next, let's find (A' U B). (A' U B) represents the union of sets A' and B. Since B is an empty set, the union of A' and B is simply A'. Therefore, (A' U B) = {0, 3, 5, 6, 8}.
Finally, let's find ((A' U B)'). ((A' U B)') represents the complement of set (A' U B). The elements that are not in set (A' U B) are {1, 2, 4, 7, 9}.
Therefore, the indicated set ((A' U B)') is {1, 2, 4, 7, 9}.
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A board game allows players to trade game pieces of equal value. The diagram shows two fair trades. The hotel is worth $2400. How much is a car worth?
Answer:
Step-by-step explanation:
the quadratic $2x^2+5x+12=19-7x$ has two solutions. what is the positive difference between these solutions?
The positive difference between the two solutions of the quadratic equation \(2x^{2}\) + 5x + 12 = 19 -7x is \(\frac{\sqrt{200} }{4}\).
We are required to determine the positive difference between the two solutions of the given quadratic equation: \(2x^{2}\) + 5x + 12 = 19 -7x
1. Move all terms to the left side of the equation to form a standard quadratic equation:
\(2x^{2}\) + 5x + 12 + 7x - 19 = 0
2. Simplify the equation: \(2x^{2}\) + 12x - 7=0.
3. Use the quadratic formula to find the solutions for x:
\(x = \frac{-b \pm \sqrt{b^{2} -4ac}}{2a}\)
where a=2, b=12, and c=-7.
4. Substitute the values:
\(x = \frac{-12 \pm \sqrt{12^{2} -4(2)(-7)}}{2(2)}\)
5. Simplify the expression:
\(x = \frac{-12 \pm \sqrt{144 + 56}}{4}\)
6. Calculate the value under the square root:
\(x = \frac{-12 \pm \sqrt{200}}{4}\)
7. Now, we have two solutions:
\(x_{1} = \frac{-12 + \sqrt{200}}{4}x_{2} = \frac{-12 - \sqrt{200}}{4}\)
8. Find the difference between the solutions:
\(x_{1} - x_{2}\) = \(\frac{\sqrt{200} }{4}\)
The positive difference between the two solutions is\(\frac{\sqrt{200} }{4}\).
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Write an exponential equation in the form y = a· that passes through the points (3, 2) and (6, 16) (Assume asymptote is y=0)
Step-by-step explanation:
Since we are looking for an exponential equation in the form y = a·b^x, where b is the base of the exponential function, we can use the two given points to set up a system of equations and solve for a and b.
Using the point (3, 2), we have:
2 = a·b^3
Using the point (6, 16), we have:
16 = a·b^6
Dividing the second equation by the first equation, we get:
16/2 = (a·b^6) / (a·b^3)
8 = b^3
Taking the cube root of both sides, we get:
b = 2
Substituting this value of b into either of the two equations, we can solve for a. Using the first equation, we have:
2 = a·2^3
2 = 8a
a = 1/4
Therefore, the exponential equation that passes through the points (3, 2) and (6, 16) and has an asymptote of y=0 is:
y = (1/4)·2^x
or
y = 0.25·2^x
Determine the radii of convergence of the Taylor series of the functions centered at the indicated pointsz0, without explicitly writing the series.
(a) sinz/e^z,z0=−2
(b) 1/cosz’ , z0=0
(c) z^2+1/(z−i), z0=1+i
a)The radius of convergence is R = |-2 - (-πi)| = |-2 + πi| = √(2^2 + π^2) ≈ 3.146.b)The radius of convergence is R = |1 + i - i| = |1| = 1. c)The radius of convergence is R = |1 + i - i| = |1| = 1.
The radius of convergence of a Taylor series centered at a point z0 is the distance from z0 to the nearest singularity of the function.
(a) The function sinz/e^z has singularities at z = kπi for any integer k, and the nearest singularity to z0 = -2 is at z = -πi. Therefore, the radius of convergence is R = |-2 - (-πi)| = |-2 + πi| = √(2^2 + π^2) ≈ 3.146.
(b) The function 1/cosz' has singularities at z = (k + 1/2)π for any integer k, which are equidistant from z0 = 0. Therefore, the radius of convergence is R = π/2.
(c) The function z^2+1/(z−i) has a singularity at z = i, which is the nearest singularity to z0 = 1 + i. Therefore, the radius of convergence is R = |1 + i - i| = |1| = 1.
Note that these radii of convergence only guarantee convergence within the radius; the series may converge or diverge at the boundary.
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A teacher graded s 27 tests in 3 hours. Do these quantities(number of tests graded in time) vary directly or inversely? Explain.
Answer:
directly
Step-by-step explanation:
The line has been partitioned into three angles. Is there a triangle with these three angle measures? The degrees are 39,42,99 Please help quick!!!!!!!!!!
Answer:
yes it is
Step-by-step explanation:
a triangles measures are supposed to add up to 180, since 39+42+99=180 then its a traingle
Brainliest?
Yes, there is a triangle with these three angles measuring 39°, 42°, and 99°.
Given,
The line has been partitioned into three angles.
Is there a triangle with these three angle measures?
The degrees are 39,42,99.
What is the sum of angles in a triangle?The sum of the angles in a triangle is 180 degrees.
The sum of all the angles in a straight angle is 180 degrees.
We have,
39°, 42°, and 99°.
The sum of the angles is:
= 39 + 42 + 99
= 180 °
The sum of the angles in a triangle is 180 degrees.
Thus,
Yes, there is a triangle with these three angles measuring 39°, 42°, and 99°.
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8
Helen thinks of two numbers.
The Highest Common Factor (HCF) of her two numbers is 5
The Lowest Common Multiple (LCM) of her two numbers is a multiple of 12
Write down two possible numbers that Helen could be thinking of.
As a result, it is evident from the steps above that it is impossible to have two numbers with the same LCM and HCF as 12 and 5, respectively.
what is HCF ?The biggest integer that is able to divide two or more quantities is known as the highest common factor (HCF) or greatest common factor. Highest refers to the biggest or greatest number. The sharing a common meaning of two or more integers. Feature is an integer that can be used to divide a whole number (a divisor). Write each integer as the sum of one's main characteristics in step one. Step 3: The HCF of said given integers is the greatest number that can be found among the common factors.
given
1. It is assumed that when Helen thinks of two numbers, they have corresponding HCF and LCM values of 5 and 12.
2. The smallest common multiple shared by two numbers is referred to as the least common number.
LCM of 4 and 6 is 12, for instance.
3. The highest number that divides the two selected numbers, leaving a residue of 0, is referred to as the highest common factor.
HCF of 6 and 8 is 2, for instance.
4. Given that the LCM of Helen's two chosen numbers is 12, even multiples of 12 are the two numbers' common multiples. In light of this, 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, and so forth.
5.The only numbers that may be divided by 5 are 60 and 120. All other numbers have HCF values other than 5. 60 and 120 have an HCF of 60, but not 5.
As a result, it is evident from the steps above that it is impossible to have two numbers with the same LCM and HCF as 12 and 5, respectively.
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A) What are the coordinates of the image of vertex G after a reflection across the line y = x?
B) What is the rule when reflecting across the line y = x
Answer:
b. (-5, 4)
Step-by-step explanation:
edge2020
How do o solve this equation? 4(3x - 10) + 7 = 15
Which of these is NOT the net of a cube?
A cube is a three-dimensional solid object having six square faces, facets, or sides, three of which meet at each vertex. The correct option is C.
What is a cube?A cube is a three-dimensional solid object having six square faces, facets, or sides, three of which meet at each vertex.
The net that will not form a cube is C, because of the two side flaps which will overlap, therefore, will form an open box from the side.
Hence, The correct option is C.
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if x=5, y=-3, and z=-7 z=-7, evaluate 3x^2-9y/yz
x = 108 and y = 3, given that x is directly related to the square of y. If x= 12, what is the value of y?
Answer:
1
Step-by-step explanation:
x = ky², where k is a constant.
108 = k(3)² = 9k
k = 108/9 = 12.
x = ky²
12 = 12y²
y = 1
It’s multiplication and I need help
Answer:
tell me the question
Step-by-step explanation:
please mark me as brainlest
The number of reviews for each of the local restaurants is counted. The results are normally distributed with a mean of 25 and a standard deviation of 4.
What percentage of restaurants have between 20 and 25 reviews?
10.6%
50.0%
16.0%
39.4%
Using the normal distribution, it is found that 39.4% of restaurants have between 20 and 25 reviews.
Normal Probability DistributionIn a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by \(\mu = 25, \sigma = 4\).
The proportion of restaurants that have between 20 and 25 reviews is the p-value of Z when X = 25 subtracted by the p-value of Z when X = 20, hence:
X = 25:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{25 - 25}{4}\)
Z = 0.
Z = 0 has a p-value of 0.5.
X = 20:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{20 - 25}{4}\)
Z = -1.25.
Z = -1.25 has a p-value of 0.106.
0.5 - 0.105 = 0.394 = 39.4%.
Hence, 39.4% of restaurants have between 20 and 25 reviews.
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the scatterplot below shows the amount of time a trumpet player spends practicing a song, and the number of incorrect notes she plays while performing that song. Based on the graph, how many incorrect notes will she play if the practice time 7 1/2 hours
Answer:
10
Step-by-step explanation:
HELP ME PLEASEEE!!! IM DESPERATE
Answer:
Conv. of Alt. Int. is the correct answer.
find the primter of a traingle( the numbers around
it are 1/3 1/5 and 1/8) ASAP PLZ
Answer:
79/120
Step-by-step explanation:
Answer:
79/120
Step-by-step explanation:
You make all the answers to have the same denomination and then add them.
Which equation represents the relationship between x and y?
A. y = x + 25
B. y = 25x
C. x =25y
D. x = y +25
There are 723 fifth grade tudent and 685 ixth grade tudent going on a field trip each bu hold 58 tudent how
Students will board the bus at 1350 even though it is not totally full.
What is unitary method ?Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.
Create a square on paper by using a pencil. Two dimensions make it up. A shape's area on paper is the space it takes up.
Imagine that your square is made up of smaller unit squares.
The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few cmmon units for measuring area
To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.
According to our question-
723+685
1408-58
1350
Hence, Students will board the bus at 1350 even though it is not totally full.
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Select true or false for each statement
Answer:
1.false
2.true
3.true
i am sure. these are the correct answeres
HELP! I’LL GIVE BRAINLIEST ANSWER
Answer:
d. 20°
Step-by-step explanation:
First, we need to solve for m<Q
m<Q+m<R+m<S=180°
where m<R=90° and m<S=70°
m<Q+90°+70°=180°
m<Q=20°
Since m<Q=m<M
Then, m<M=20°
A study is done on the number of bacteria cells in a petri dish. Suppose that the population size PC) after thours is given by the following exponential functionP (t) = 2000(1.09)By what percent does the population size change each hour?
Give the following equation:
\(\text{ P(t) = 2000(1.09)}^t\)1.09 represents the growth rate. It means that the population increases by 9% each hour, (1 + r).
The answer is 9%.
what is the coefficient of determination; how do you interpret this number? make a comment on the strength of the regression relationship
The coefficient of determination (also known as the R-squared) is a measure of the proportion of the variance in the dependent variable (the y-variable) that is explained by the independent variable (the x-variable).
It is denoted by r-squared and typically takes values between 0 and 1. A value of 0 indicates that the independent variable does not explain any of the variance in the dependent variable, while a value of 1 indicates that the independent variable explains all of the variance in the dependent variable. The coefficient of determination (also known as the R-squared) is a measure of the proportion of the variance in the dependent variable (the y-variable) that is explained by the independent variable (the x-variable). A higher R-squared value indicates a stronger regression relationship between the two variables.
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1. What guides the end behavior of a function
2. What is the line that a graph approaches
3. What does the variable K represent
Answer:
1The degree and the leading coefficient of a polynomial function determine the end behavior of the graph. The leading coefficient is significant compared to the other coefficients in the function for the very large or very small numbers.
2An asymptote is a line that a graph approaches but never touches. That line can be vertical, horizontal, or even slanted, and graphs can have multiple types of asymptotes.
3constant of variation (k) is a ratio that represents the relationship between the independent variable (x) and the dependent variable (y). It can be found by dividing y by x, if both of those variables have known values.
plz help me with math problem
Answer:
A) -2y + 2x >= 7x+y+5
Step-by-step explanation:
I can't remember how to get there by actually doing math, but I used a calculator on a program called Desmos (don't know if you've heard of it?). It's great because they have lots of types of calculators for any kind of math you're doing. I used the graphing calculator for this one. There's also a scientific calculator which I used a lot throughout middle school when we had to do operations with PEMDAS OR GEMS.
To find the graphing calculator for future problems like this, just type in Desmos Graphing Calculator and it should come up.
Hope you find it useful.
Count to find the slope
Answer:
6/7
Step-by-step explanation:
how to find point of inflection
Step-by-step explanation:
They can be found by considering where the second derivative changes signs. In similar to critical points in the first derivative, inflection points will occur when the second derivative is either zero or undefined.
make me brainlist
Can someone help me with this geometry question?
Answer:
whats the question
Step-by-step explanation:
Answer:
I don't see a question to answer
Step-by-step explanation:
SOLVE THIS!!!! CAUSE...WELL BRAINLY
please fill in the blanks
Time is an illusion~
that helps things make ____
so we're always living in the present tense
it is unforgiving when a good thing ____
Answer: sense happens
Step-by-step explanation:
How do I simplify this expression?
Answer:
\(a=1\\\\b=7\)
Step-by-step explanation:
\(\dfrac{x^2 (y^3)^4}{xy^5}\\\\\\=x^{2 -1} \cdot \dfrac{y^{3 \times 4}}{y^5}\\\\\\=x^1 \cdot \dfrac{y^{12}}{y^5}\\\\\\=x^1 \cdot y^{12-5}\\\\\\=x^1 \cdot y^7\\\\\text{Hence a = 1, b = 7}\)