The formulas below that are true in the domain.
The correct answer is (A, B, C, E, F). A. Vay P(x,y) B. ByVx P(x,y) C. 3xVy P(x,y) E. 3xVy - P(x, y) F. ByVx - P(x, y)
Let's evaluate each formula to determine which ones are true in the given domain:
A. Vay P(x, y): This formula states that for all y, there exists an x such that x + 1 > y. Since there is no restriction on x, this formula is true in the given domain.
B. ByVx P(x, y): This formula states that for all x, there exists a y such that x + 1 > y. Since there is no restriction on y, this formula is true in the given domain.
C. 3xVy P(x, y): This formula states that there exists an x such that for all y, x + 1 > y. Since there is no restriction on y, this formula is true in the given domain.
D. Vyc P(x, y): This formula states that for all y, there exists a constant c such that x + 1 > y. However, there is no mention of c in the given domain, so this formula is not true.
E. 3xVy -P(x, y): This formula states that there exists an x such that for all y, x + 1 ≤ y. This is the negation of the original condition x + 1 > y. Since there is no restriction on y, this formula is true in the given domain.
F. ByVx -P(x, y): This formula states that for all x, there exists a y such that x + 1 ≤ y. This is again the negation of the original condition x + 1 > y. Since there is no restriction on x, this formula is true in the given domain.
G. Vzy -P(x, y): This formula states that for all z, there exists a y such that x + 1 ≤ y. However, there is no mention of z in the given domain, so this formula is not true.
H. -3xVy P(x, y): This formula states that there does not exist an x such that for all y, x + 1 > y. Since the original condition x + 1 > y is true for any value of x and y in the given domain, this formula is not true.
Based on the evaluations above, the formulas that are true in the given domain are:
A. Vay P(x, y)
B. ByVx P(x, y)
C. 3xVy P(x, y)
E. 3xVy -P(x, y)
F. ByVx -P(x, y)
Therefore, the correct answer is (A, B, C, E, F).
To learn more about Domain
https://brainly.com/question/29630155
#SPJ11
Last question please help asp (the question is in the picture)
Answer:
subtraction property of equality
The circumference of each of the smaller circles is 12 mm. Find the area of the shaded region.
Answer:
11.45mm^2
Step-by-step explanation:
Given data
Circumference= 12mm
The expression for the circumference is
C= 2πr
12= 2*3.14*r
12= 6.28r
r= 12/6.28
r= 1.91mm
Hence the area of each small circle is
A= πr^2
A= 3.14*1.91^2
A= 3.14*3.6481
A=11.45mm^2
Answer:
the answer is b. 72 pie mm squared
Step-by-step explanation:
edge 2021
list 10 Objects that are vertical and horizontal and are found in the classroom
Classroom objects can be categorized as vertical or horizontal. Examples of vertical objects include doors, bookshelves, and clocks, while horizontal objects include desks, tables, and chairs.
In a classroom, there are many objects that are vertical and horizontal. Here are ten examples of each:
Vertical objects in a classroom:
1. Door 6. Clock
2. Cabinet 7. Electrical outlets
3. Bookshelf 8. Light switches
4. Whiteboard 9. Window blinds
5. Flagpole 10. Bulletin board
Horizontal objects in a classroom:
1. Desks 6. Keyboard trays
2. Chairs 7. Carpet tiles
3. Tables 8. Ceiling tiles
4. Countertops 9. Whiteboard markers
5. Shelves 10. Paper trays
These are just a few examples of vertical and horizontal objects that can be found in a classroom.
It is important to recognize the different shapes and orientations of objects in our environment, as they can affect the way we perceive and interact with them.
For more questions on Bulletin board
https://brainly.com/question/30369348
#SPJ8
someone please help.
The completed table with regards to terms of an expression are presented as follows;
Condition \({}\) (6·x + 3) + (5·x - 4) (-4·y - 16) - 8·y + 10 + 2·y
Exactly 3 terms N/A \({}\) N/A
Exactly 5 terms N/A \({}\) N/A
Includes a zero pair No \({}\) No
Uses distributive property No No
Includes a negative factor No
Has no like terms False False
Condition \(8 - \dfrac{1}{2} \cdot \left(4 \cdot x - \dfrac{1}{2} + 12\cdot x -\dfrac{1}{4} \right)\) 0.25·(8·m - 12) - 0.5·(-4·m + 2)
Exactly 3 terms No \({}\) No
Exactly 5 terms Yes \({}\) \({}\) No
Includes a zero pair No \({}\) \({}\) Yes
Uses the distributive property Yes \({}\) Yes
Includes a negative factor Yes \({}\) Yes
Has no like terms No \({}\) No
What is a mathematical expression?A mathematical expression is a collection of variables and numbers along with mathematical operators which are all properly arranged.
The details of the conditions in the question are as follows;
Terms of an expression
A term is a subunit of an algebraic expression which are joined together by operators such as addition or subtraction
Zero pair
A zero pair are two numbers that when added together have a zero result
Distributive property
The distributive property of multiplication states that the multiplication of a number or variable by an addend is equivalent to the sum of the multiplication of the number or variable and each member of the addend
Negative factor
A negative factor is a factor that has a negative sign prefix
Like terms
Like terms are terms consisting of identical variables with the same powers of the variable
Learn more about expressions here:
https://brainly.com/question/1859113
#SPJ1
Solve each quadratic inequality then test their interval of the inequality.
1. x² - x - 20 > 0
2. x² - 2x - 11 < 0
3. x²+ 9x + 14 > 0
4. r² - 10r + 16 > 0
Answer:
1 . x < − 4 or x > 5
2 . 1 − 2 √ 3 < x < 1 + 2 √ 3
3 .x < − 7 or x > − 2
4. r < 2 or r > 8
Step-by-step explanation:
2. Find the midpoint of the segment with endpoints of −11 i and −4 4i. I.
Answer:
-7.5 + 2.5i
Step-by-step explanation:
between which pair of decimals should 4 7 be placed on a number line
To determine the placement of 4.7 on a number line between two decimals, 4/7 should be placed between the pair of decimals 0.57 and 0.58 on a number line.
The number 4.7 falls between the integers 4 and 5, so we need to find the decimal values that come after 4 and before 5. The decimal value that comes after 4 is 4.1, and the decimal value that comes before 5 is 4.9.
1. Convert the fraction 4/7 to a decimal.
2. Identify the two consecutive decimals on the number line that the converted decimal falls between.
Step 1: Convert 4/7 to a decimal.
To do this, divide the numerator (4) by the denominator (7):
4 ÷ 7 ≈ 0.5714 (rounded to 4 decimal places)
Step 2: Identify the two consecutive decimals.
Now, we know that 0.5714 is the decimal equivalent of 4/7. To determine the pair of decimals on the number line, we can see that 0.5714 falls between 0.57 and 0.58.
So, 4/7 should be placed between the pair of decimals 0.57 and 0.58 on a number line.
To know more about number visit:-
https://brainly.com/question/14530206
#SPJ11
The perimeter of a rectangle is 39.2 cm. The length of the rectangle is 16.4 cm. What is the width of the rectangle?
Answer:
w = 3.2 cm
Step-by-step explanation:
Perimeter of a rectangle = 2(l + w)
Given values:
p = 39.2 cml = 16.4 cmSubstitute the given values into the formula and solve:
39.2 = 2(16.4 + w)
39.2 = 2(16.4 + w)
39.2 = 32.8 + 2w
39.2 - 32.8 = 32.8 - 32.8 + 2w
6.4 = 2w
6.4 / 2 = 2w / 2
3.2 = w
Check your work:
39.2 = 2(16.4 + 3.2)
39.2 = 2(19.6)
39.2 = 39.2 ✅
Final answer: w = 3.2 cm
Hope this helps!
Question is in the image i uploaded!!
Answer:
4 pack
Step-by-step explanation:
£2.04 ÷ 4 is 51p. If we divide £2.04 by 4 (we are dividing it by 4 because that is the amount of rolls) it gives us how much 1 roll is in that pack. 1 roll = 51p in the 4 pack.
£4.68 ÷ 9 is 52p. If we divide £4.68 by 9 (we are dividing it by 9 because that is the amount of rolls) it gives how much 1 roll is in that pack. 1 roll = 52p.
Therefore, the 4 pack is cheaper as 1 roll costs less. The 4 pack is better value.
a survey of 400 college seniors resulted in the following crosstabulation regarding their undergraduate major and whether or not they plan to go to graduate school. (15 points: 3.75 points for each part) undergraduate major graduate school business engineering others total yes 35 42 63 140 no 91 104 65 260 total 126 146 128 400 a. are a majority of the seniors in the survey planning to attend graduate school? b. which discipline constitutes the majority of the individuals in the survey? c. compute row percentages and comment on the relationship between the students' undergraduate major and their intention of attending graduate school. d. compute the column percentages and comment on the relationship between the students' intention of going to graduate school and their undergraduate major.
A majority of the college seniors in the survey are not planning to attend graduate school. The discipline of business constitutes the majority of individuals in the survey.
In more detail, let's analyze the crosstabulation table. To determine if a majority of the seniors are planning to attend graduate school, we can compare the total number of "yes" responses (140) to the total number of respondents (400).
Since 140 is less than 50% of 400, we can conclude that a majority of the seniors are not planning to attend graduate school.
To identify which discipline constitutes the majority of individuals in the survey, we can examine the column totals.
The highest column total corresponds to the "engineering" discipline, with 146 individuals. Therefore, engineering is the discipline that constitutes the majority of individuals in the survey.
To compute the row percentages, we divide each cell by its respective row total and multiply by 100. This gives us the percentage of students in each undergraduate major who plan to attend graduate school.
By analyzing these percentages, we can identify any patterns or relationships between the students' majors and their intention of attending graduate school.
To compute the column percentages, we divide each cell by its respective column total and multiply by 100. This allows us to examine the percentage of students who plan to attend graduate school within each undergraduate major category.
Analyzing these percentages can reveal any relationships between the students' intention of going to graduate school and their undergraduate major.
To learn more about business constitutes visit:
brainly.com/question/33446373
#SPJ11
A) 80 ft
B) 90 ft
C) 140 ft
D)180ft
Applying the definition of congruent triangles, the perimeter of triangle ABC is: D. 180 ft.
What are Congruent Triangles?Congruent triangles are two or more triangles that have the same size and shape, meaning that their corresponding sides and angles are equal.
We are told that triangles ABD and CBD are congruent, this means their corresponding sides lengths are equal. That is:
AB = BC = 50 ft
AD = CD = 40 ft
Perimeter of triangle ABC = AB + AD + CD + BC
= 50 + 40 + 40 = 50
= 180 ft.
Learn more about congruent triangles on:
https://brainly.com/question/31375021
#SPJ1
Given the functions f and g below, find f(g(0)).
f(x) = x−2
g(x) = −6x2−2x+6
Do not include "f(g(0))=" in your answer.
Question 8 options:
Question 9 (1 point)
Given the function h(x) below, select the answer choice which correctly decomposes h(x) into component functions f(x) and g(x) so that h(x)=f(g(x)).
h(x)=(3x−5)2
Question 9 options:
h(x)=f(g(x)), where f(x)=x2 and g(x)=3x−5
h(x)=f(g(x)), where f(x)=3x and g(x)=(x−5)2
h(x)=f(g(x)), where f(x)=3x2 and g(x)=x−5
h(x)=f(g(x)), where f(x)=x−5 and g(x)=3x2
h(x)=f(g(x)), where f(x)=3x−5 and g(x)=x2
For the first question, we are given two functions, f(x) and g(x), and we are asked to find f(g(0)). First, we need to find the value of g(0):
g(x) = -6x² - 2x + 6
g(0) = -6(0)² - 2(0) + 6
g(0) = 6
Now, we need to find f(g(0)):
f(x) = x - 2
f(6) = 6 - 2
f(6) = 4
So, the answer to the first question is 4.
For the second question, we are given the function h(x) and asked to decompose it into component functions f(x) and g(x) so that h(x) = f(g(x)). The function h(x) is:
h(x) = (3x - 5)²
Comparing this with the given options, the correct decomposition is:
h(x) = f(g(x)), where f(x) = x² and g(x) = 3x - 5
This is because when we apply f(g(x)), we get:
f(g(x)) = f(3x - 5) = (3x - 5)²= h(x)
To know more about function visit :-
https://brainly.com/question/11624077
#SPJ11
Find the derivative of the function at P in the direction of A f(x,y,z):xy + yz + zx, (1,-1,-2), A = 3i + 2j - 6k (DAf) | 1(1,-1,-2) =
Therefore, the directional derivative of f at P=(1,-1,-2) in the direction of A=3i+2j-6k is -2.
To find the directional derivative of f(x,y,z) at P=(1,-1,-2) in the direction of A=3i+2j-6k, we first need to find the gradient of f at P, which is given by:
grad(f) = ∇f = (∂f/∂x)i + (∂f/∂y)j + (∂f/∂z)k
Here, f(x,y,z) = xy + yz + zx, so we have:
∂f/∂x = y + z
∂f/∂y = x + z
∂f/∂z = x + y
Thus, at P=(1,-1,-2), we have:
∇f(P) = (∂f/∂x)i + (∂f/∂y)j + (∂f/∂z)k
= (y+z)i + (x+z)j + (x+y)k
= (0+(-2))i + (1+(-2))j + (1+0)k
= -2i - 1j + 1k
Next, we need to find the unit vector in the direction of A:
|A| = sqrt(3^2 + 2^2 + (-6)^2) = 7
u = A/|A| = (3/7)i + (2/7)j - (6/7)k
Finally, we can compute the directional derivative of f at P in the direction of A as:
(DAf) | 1(1,-1,-2) = ∇f(P) · u
= (-2i - 1j + 1k) · (3/7)i + (2/7)j - (6/7)k
= -6/7 - 2/7 - 6/7
= -2
To know more about derivative,
https://brainly.com/question/29752525
#SPJ11
PLS HELP.
7) Find RQ
Answer:
are we doing ur homework
Step-by-step explanation:
which cannot be probabilities:
square root of 2, 0, -53, .08, 5/3, 3/5, 1.31
The numbers that cannot be probabilities are: square root of 2, -53, 5/3, and 1.31.
Probability is a measure of the likelihood of a particular event occurring in a random experiment. It is a value between 0 and 1, with 0 indicating that an event is impossible, and 1 indicating that an event is certain to occur.
In statistics, probability is used to make predictions or draw inferences about a population based on a sample of data. For example, if we were to flip a coin, the probability of getting heads is 0.5, or 50%. In general probability can be defined as the ratio of the number of favorable outcomes to the total number of possible outcomes, which is the mathematical framework behind the random experiments.
From the set of numbers, 0, 0.08, and 3/5 are all possible values of probability.
Therefore, square root of 2, -53, 5/3, and 1.31 cannot be probabilities.
Learn more about probability here: https://brainly.com/question/24756209
#SPJ4
Apply a piecewise linear contrast stretch so that the values 0-12 are mapped 0, the values 13-16 are mapped to the range 0-14, the values 17-23 are mapped to the range 15-28, and the values 24-28 are mapped to 28. Show the equations, look up table and resulting histogram of the new image.
A contrast stretch is a technique used to change the contrast of an image. A piecewise linear contrast stretch is used when the pixel values are not evenly distributed within the image. Here is the step by step procedure to apply a piecewise linear contrast stretch.150 words Solution:
Step 1: Take an image and its histogram The original image and its histogram are shown below.
Original Image Histogram
Step 2: Define the four ranges The pixel values are divided into four ranges. 0-12 are mapped to 0, 13-16 are mapped to the range 0-14, 17-23 are mapped to the range 15-28, and 24-28 are mapped to 28.
The equations are defined as follows.
r(x)= 0 for 0<=x<13r(x)
= 14/3 * (x - 13) for 13<=x<17r(x)
= 13/6 * (x - 17) + 14 for 17<=x<24r(x)
= 28 for 24<=x<=28
Here is the look-up table for the defined ranges.
Pixel values Mapped values
0-12013-160-1417-2315-2824-2828
Step 3: Apply the contrast stretch Using the defined ranges, the contrast stretch is applied to the original image. The new image and its histogram are shown below.
New ImageNew Histogram
Step 4: Analyze the results From the histogram, it can be seen that the contrast has been increased in the new image. The pixel values are now evenly distributed within the new range.
Learn more about contrast stretch from :
https://brainly.in/question/12335154
#SPJ11
Help me please with this fast!
Answer:
63°
Step-by-step explanation:
The line = 180
so 180-117
= 63°
Answer:
The value of a is 63°
Step-by-step explanation:
180-117=63°.
I need help! and someone to tell me how to do it
step by step i have my exams tmr!
Answer:
Step-by-step explanation:
if you look at the graph 0-3 is positive
so that gives us 3+
3-2(you count 3 to -2 is negative since it goes left
so that gives us 3+(-5)
thks
Please help and explain. You don't understand it very well.
Answer:
y = (-1/2)x + 2
Step-by-step explanation:
The black line slopes down as we move from left to right, so we conclude that the slope is negative. From (0, 2) to (4, 0), y drops by 2 units (the rise) and x increases by 4 units (run).
Thus the slope is m = rise / run = -2/4, or m = -1/2.
The y-intercept is (0, 2), so the value of b in the equation y = mx + b is 2.
Thus the equation of this line is y = mx + b => y = (-1/2)x + 2
What is the value of x in 0.5x+8=1.2x-6
Isolate the variable by dividing each side by factors that don't contain the variable.
x = 20
Step-by-step explanation:
0.5x+8=-7.2
0.5x=-7.2-8
0.5x=-15.2
×=-15.2÷0.5
x=30.4
Assessment
MULTIPLE CHOICE
Directions: Read and answer the questions carefully. Write th
your Mathematics notebook.
1. Which of the following is a well - defined set?
A. The set of big people.
B. The set of happy people.
C. The set of prime numbers.
D. The set of intelligent teachers.
Answer:
C. The set of prime numbers.
Thank you ☺️
Please answer this question asap.
Answer:
54
Step-by-step explanation:
the first one is the only one I know from the top off my head I'll try and send it to you. but the first one is 53
Work out the value of angle x.
In ΔPQR, m ∠ � = ( � + 13 ) ∘ m∠P=(x+13) ∘ , m ∠ � = ( 10 � + 13 ) ∘ m∠Q=(10x+13) ∘ , and m ∠ � = ( 2 � − 2 ) ∘ m∠R=(2x−2) ∘ . Find m ∠ � . m∠Q.
However, this answer does not make sense, as angles in a triangle cannot be negative. This means that there is no solution to this problem .
To solve this problem, we can use the fact that the sum of the angles in a triangle is 180 degrees.
Let's first find the measure of angle P:
m∠P + m∠Q + m∠R = 180
Substituting in the given measures:
(x + 13) + (10x + 13) + (2x - 2) = 180
Simplifying and solving for x:
13x + 24 = 180
13x = 156
x = 12
So m∠P = (x + 13) = 25 degrees.
Next, we can use the fact that the angles opposite equal sides in a triangle are congruent. Since we know that PR and QR are equal, we have:
m∠P = m∠R
So m∠R = 25 degrees.
Finally, we can find m∠Q:
m∠Q = m∠P + m∠R - 180
Substituting in the values we found:
m∠Q = 25 + 25 - 180 = -130
However, this answer does not make sense, as angles in a triangle cannot be negative. This means that there is no solution to this problem.
To know more about angles in a triangle click here:
brainly.com/question/30381855
#SPJ1
(-3)(+4)=?
Can someone tell me the answer to this?
Answer:
-12, or 1 (see explanation)
Step-by-step explanation:
(-3)(+4)
Is the same as
4 * (-3)
which is
-12
Unless your problem is:
(-3) + 4
Then it is the same as
4 - 3
which is
1
worth 8 points!
please and thank you
Answer:
1. 4:1, 4/1, 4 to 1
2. 1:2, 1/2, 1 to 2
3. 5:3, 5/3, 5 to 3
4. 1:5, 1/5, 1 to 5
5. 1:5, 1/5, 1 to 5
6. 5:2, 5/2, 5 to 2
Step-by-step explanation:
We can tell everything from the graphs, so there's not much explaining
room temperature sample of water with a volume of 146.8 ml is placed into a flask. a volume of 0.89 ml of 0.0467 m naoh is then added to the water in the flask. what is the ph of the mixture?
The pH of the mixture is calculated using the formula pH = 14 - pOH. And, the required pH of the mixture is 10.45.
The pH value of the solutions helps to measure the hydrogen ion or H⁺ concentration in the solution. First, let's find the number of moles of OH⁻ ions present in the solution,
\(\begin{aligned}\mathrm{moles\;OH^-\;present} &= \mathrm{0.89\;ml \times \frac{1\; L}{1000\;ml} \times 0.0467\;mol/L}\\& = \mathrm{4.16\times10^{-5}\;mol}\end{aligned}\)
Then, the final volume of the solution is calculated as,
Final volume = Volume of water + Volume of NaOH
Final volume = 146.8 ml + 0.89 ml = 147.69 ml = 0.14769 L
The final concentration of OH⁻ ions is given by,
Final [OH-] = number of moles of OH⁻ /Final volume
Final [OH-] = 4.16×10⁻⁵ mol /0.14769 L = 2.82×10⁻⁴ M
Now, the pOH is calculated as follows,
pOH = -log 2.82×10⁻⁴
pOH = 3.55
And, the pH is calculated using pOH as,
pH = 14 - pOH
pH = 14 - 3.55
pH = 10.45
The required pH is 10.45.
To know more about pOH:
https://brainly.com/question/4092108
#SPJ4
What is 420÷60 hellllllllppp
Answer:7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
420÷60 is the same as 42÷6.
42 goes into 6, 7 times:
6, 12, 18, 24, 30, 36, 42.
Therefore, 420÷6 is 7.
Please use a calculator next time.
You have one coupon for x dollars off and another coupon for x% off.
Write a rule that helps you decide when you should use one instead the other.
Answer:
if you want an item that is 100 dollars of then you would like the precent of because 1-100 percent is 1-100 so the larger the number the more you would want the percent but if it is 10% or 5 dollars of on an item of 10 dollars then the dollars of would be better so the higher the number the more you want percentage.
The normal curve with a mean of 0 and standard deviation of 1 is called ______________.
a. standard normal curve.
b. the emperical rule.
c. a random variable.
d. the z-value.
The normal curve with a mean of 0 and standard deviation of 1 is called (D) the z-value.
What is a standard score (z-value)?The z-score value indicates how many standard deviations you are from the mean. A z-score of 0 indicates that the data is on the mean. A positive z-score indicates that the raw score exceeds the mean average. For example, a z-score of +1 indicates that it is one standard deviation above the mean. The number of standard deviations by which the value of a raw score (that is, an observed value or data point) is above or below the mean value of what is being observed or measured is referred to as the standard score in statistics. Raw scores that are higher than the mean have positive standard scores, while those that are lower than the mean have negative standard scores.Therefore, the normal curve with a mean of 0 and standard deviation of 1 is called (D) the z-value.
Know more about standard scores here:
https://brainly.com/question/13579780
#SPJ4