Answer and Step-by-step explanation:
Not p = ¬p
P or q = p ∨ q
P and q = p ∧ q
If p then q = p → q
P if and only if q = p ↔ q
Existential quantification: There exist an element x in the domain such that p(x).
Universal quantification: p(x) for all values of x in the domain.
(a) No one has lost more than one thousand dollars playing the lottery.
Let A(x) means ‘x has lost more than one dollars playing the lottery’
It can also write as “there does not exists a person that lost more than one thousand dollars playing”
¬Ǝ x A (x)
Negation of this statement:
By using double negation law:
¬ [¬Ǝ x A (x)] ≡ Ǝ x A(x)
(b) There is a student in this class who has chatted with exactly one other student.
Let B(x,y) means “ x has chatted with y” and domain is all students of this class.
We can write the given sentence as:
“There is a student in the class who has chatted with one student and this student is not himself and for all people the student chatted with, this student has to be himself or the one student he chatted with”
Ǝ x Ǝ y[B ( x, y) ∧ x ≠ y ∧ ∀ z (B(x,y) → ( z = x v z = y))]
The negation:
¬ Ǝ x Ǝ y[B ( x, y) ∧ x ≠ y ∧ ∀ z (B(x ,y) → ( z = x v z = y))]
By using De Morgan’s law for quantifiers:
≡∀x ¬ Ǝ y [B ( x, y) ∧ x ≠ y ∧ ∀ z (B(x ,y) → ( z = x v z = y))]
≡∀x ∀ y [B ( x, y) ∧ x ≠ y ∧ ∀ z (B(x ,y) → ( z = x v z = y))]
De Morgan’s law:
≡∀x ∀ y [¬ B ( x, y) v ¬ ( x ≠ y) v ∀ z (B(x ,y) → ( z = x v z = y))]
By using De Morgan’s law for quantifiers:
≡∀x ∀ y [¬ B ( x, y) v x= y v Ǝ z¬ (B(x ,z) → ( z = x v z = y))]
(c) No student in this class has sent e-mail to exactly two other students in this class
Let c(x, y) means “ x has sent email to y” and the domain is all student of class.
Using double negation law:
Ǝ x Ǝ y Ǝ z [c(x, y) ∧c(x ,z) ∧ x≠ y ∧ x ≠z ∧ y ≠ z ∀ w (c(x,w) → ( w = x v w = y v w = z)]
There is a student in class that has sent email to exaxtly two other students in class.
(d) One student has solved every exercise in this book
Let D(x , y) mean student x has solved exercise y in this book.
The negation:
Ǝx∀yD(x,y)
Use De Morgan’s law for qualifiers:
≡∀ x Ǝ y ¬D(x, y)
(e). No student has solved at least one exercise in every section of this book.
Let E(x, y,z) be student x has solved exercise y in section z of this book.
We can write “there does not exist a student that solved at least one exercise in all sections of this book”
¬Ǝ x Ǝ y ∀ Z E(x, y, z)
Negation:
≡¬ [¬ Ǝ x Ǝ y ∀ Z E(x, y, z) ]
Use double negation law:
≡ Ǝ x Ǝ y ∀ Z E(x, y, z)
the product of -3 and t is greater then 11
Answer:
t ≤ 4
Step-by-step explanation:
3 X 4 = 12 or any number greater than 4
Use technology to solve the following problem: The lifetime of a certain type of automobile tire (in thousands of miles) is normally distributed with mean μ = 38 and standard deviation σ = 7. What proportion of tires have lifetimes between 36 and 46 thousand miles?
Answer:
0.4859
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score,
μ is the population mean, and
σ is the population standard deviation.
From the question:
mean μ = 38,000
standard deviation σ = 7,000
For.
36 ( thousand miles) = 36,000
z = (x-μ)/σ
z = 36,000 - 38,000/7000
z = -0.28571
Probability value from Z-Table:
P(x = 36000) = 0.38755
For 46 thousand miles = 46,000
z = (x-μ)/σ
z = 46,000 - 38,000/7000
z =1.14286
Probability value from Z-Table:
P(x = 46000) = 0.87345
The proportion of tires that have lifetimes between 36 and 46 thousand miles is calculated as:
P(x = 46000) - P(x = 36000)
0.87345 - 0.38755
= 0.4859
2 An art studio charges $65 per month for art lessons. There is also an additional supply fee of $25 at the time of registration. Which equation best describes the total cost, c, given the number of months, m?
Answer:
The equation should be, 65m+25=c
Answer: it’s going to be c=65m+25
Step-by-step explanation:
is 600 : 450 and 4 : 3 equivalent
Answer:
Yes
Step-by-step explanation:
600/150=4
450/150=3
Christina's ice cream parlor sold 60 vanilla cones on the first day of summer. If the goal is to increase the number of vanilla cones sold each day by 4, how many will be sold 20 days later?
1280 cones because you would add 60 +4 and multiply by 20, and would get 1280 cones.
PLEASE HELP(I’ll mark your answer as the Brainiest! & 11points) can someone please do numbers 1-3 Find the angle measure. Tell which postulate or theorem you use, thank you in advance!❤️
Answer:
1. m<5 = 114
2. m<6 = 68
3. m<2 = 64
Step-by-step explanation:
Question 1:
<1 = <4 because of Vertical Angles Theorem
< 4 = <5 because of Alternate Interior Angles Theorem
Hence, <1 = <5
Since m<1 = 114: m<5 = 114.
Question 2:
<3 = <6 because of Alternate Interior Angles Theorem
Since m<3 = 68: m<6 = 68
Question 3:
<2 = <7 because of Alternate Exterior Angles Theorem
Since m<7 = 64: m <2 = 64
Hope this helped! If not, let me know! <3
Can y’all help me ASAP ! I need this done before 12am
Answer:
6 is the answer since a line is 180 degrees and it gives you 40 degrees and 90 degrees via the square symbol. you add 40 to 90 to get 130 so 7k + 8 has to equal 50.
How much money will it cost to buy the paint? Show all work
Answer:
Step-by-step explanation:
Circle:
diameter = 30 ft
r = 30/2 = 15 ft
Area = πr²
= 3.14 * 15*15
= 706.50 square feet
Triangle:
base (b) = 30 ft
height (h) = 20 ft
Area = [tex]\frac{1}{2}bh[/tex]
[tex]=\frac{1}{2}*30*20\\\\=30*10[/tex]
= 300 square feet
Area of four triangles = 4 * 300
= 1200 square feet
Area to be painted blue = area of circle + area of 4 triangles
= 706.50 + 1200
= 1906.50 square feet
Area painted by one bucket blue paint = 350 sq. feet
Number of paint buckets needed = 1906.50 ÷ 350
= 5.44
= 6
6 buckets of blue paint is needed.
Cost of 6 buckets of blue paint = 85.50 * 6
= $ 513
Each part of the design needs two coats.
So Cost for two coats = 2 * 513
= $ 1026
Square:
Side = 40 ft
Area of square = side *side
= 40*40
= 1600 sq. ft
Area of square to be painted yellow = area of square - area of circle
= 1600 - 706.50
= 893.50 sq.ft
Area painted with one bucket of yellow paint = 250 sq. ft
Number of yellow paint buckets needed = 893.50 ÷ 250
= 3.574
= 4
4 buckets of yellow bucket is needed
Cost of 4 buckets of yellow bucket = 64.50 * 4
= $ 258
Each part of the design needs two coats.
So Cost for two coats = 2 * 258
= $ 516
Help the pic is right here
Answer:
i think its C
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
its just division tbh
You can afford a $1350 per month mortgage payment. You’ve found a 30 year loan at 7% interest.
A) How big of a loan can you afford?
B) How much total money will you pay the loan company?
C) How much of that money is interest?
A) The loan amount you can afford is, $177,690.52
B) There will be paid a total of $486,000 to the loan company over the course of 30 years.
C) $308,309.48 of the total money you will pay the loan company is interest.
Given that,
You can afford a $1350 per month mortgage payment.
And, found a 30-year loan at 7% interest.
A) Using the formula for calculating the monthly mortgage payment, we can rearrange it to solve for the loan amount:
Loan Amount = [tex]\frac{Monthly Payment }{(Monthly Payment * (1 + (\frac{1}{1+Monthly Payment )^{Number of payments} } }[/tex]
Plugging in the given values:
Monthly Payment = $1350
Monthly Interest = 7% / 12
= 0.00583
Number of Payments = 30 years × 12 months
= 360
Hence,
Loan Amount = [tex]\frac{1350}{(0.00583 (1 + \frac{1}{1+ 0.00583)^{360} } )}[/tex]
By evaluating this expression,
the loan amount you can afford is,
$177,690.52
B) The total money you will pay the loan company,
Total Money Paid = Monthly Payment × Number of Payments
Total Money Paid = $1350 × 360
= $486,000
Therefore, you will pay a total of $486,000 to the loan company over the course of 30 years.
C) the amount of money which is interest,
Interest Paid = Total Money Paid - Loan Amount
Interest Paid = $486,000 - $177,690.52
= $308,309.48
Hence, $308,309.48 of the total money you will pay the loan company is interest.
To learn more about the Interest visit:
https://brainly.com/question/7639734
#SPJ4
Solve for x.
X + 5 = 2x
OX=3
OX=-3
OX=-5
Ox=5
What happens to a triangle that is drawn on a sphere?
Answer: The sum of the angles of a triangle on a sphere is 180°(1 + 4f), where f is the fraction of the sphere's surface that is enclosed by the triangle. For any positive value of f, this exceeds 180°.
what is 1 1/5 x 3/5
Answer:
Okay so you mean one then 1/5 a fraction times 3/5 if so that means that
Exact Form: 18/25
Decimal Form: 0.72
18/25 is the simplest form by the way
Welcome!
F(x)=3x+2 and g(x)=x^3 find (fog)(-5)
CONSTRUCTED-RESPONSE ITEM 14. Four people each deliver food to people's homes.
19
Constructed Responses
..
Curtis charges a flat fee of $2.50 for each delivery plus $0.20 per mile for each mile he drives. For one delivery, Curtis drives 6 miles.
...
A. How much does Curtis charge to deliver the food?
Answer:
I'm Pretty Sure it is $16.20
Step-by-step explanation:
First, you add 2.50 + 0.20 and you get 2.70. Then, you get 2.70 x 6 miles and you get 16.20. Hope this helps! :)
Turn -8 1/2 into an improper fraction. Explain your steps
Answer:
-17/2
Step-by-step explanation:
This is the answer because:
1) The formula of turning mixed fractions into improper fractions is:
Denominator x Whole Number + Numerator
2) 2 x -8 = -16, -16 + -1 = -17
Hope this helps!
The correct Standard Form of the equation y=3/2x+3
Answer:
3x-2y=-6
My mom listening to wap
solve -3x^2=150
please help me
Answer:
x=5i√2,−5i√2
Tap to view steps...
Step-by-step explanation:
math, way, . , com
Y=-6x+15 what is the slope of this function?
Answer:
slope = -6
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
The line is moving down negatively, and by using rise over run, we can determine that the slope is -6/1
1. How many numbers less than 10,000 are there which are divisible
by 21, 35 and 63?
Answer:
31
Step-by-step explanation:
To solve this problem, we must find the lowest common multiple of 21, 35 and 63
Find the prime factors of the number;
Prime factors of 21 = 3 x 7
35 = 3 x 5
63 = 3 x 3 x 7
The lcm = 3 x 3 x 5 x 7 = 315
The numbers between 1 and 10, 000 divided by these three numbers;
First number = 315
Last number = 9765
Now the total number:
= [tex]\frac{first number - last number }{315} + 1[/tex]
= [tex]\frac{9765 - 315}{315}[/tex] + 1
= 30 + 1
= 31
Looking at the picture below, what are two things that you would correct about this student's posture and playing position if you were the teacher.
Please answer ASAP
Answer:
The Student has good posture on the chin rest but The way that there are not standing straight up and how there holding the bow is incorrect
Step-by-step explanation:
Sitting up straight, turn your head enough that your nose lines up with the left foot. Drop your chin and place the violin so that it's also aligned with your left foot. Hold your spine straight and relax into this position; you should be able to keep the violin steady using only your chin.
I'm not 100 percent sure this correct
What value of p makes this equation true?
3/4 p- 1/4p + 3 = -2
Answer:
-10
Step-by-step explanation:
p/2=-5
p=-10
Answer:
-10
Step-by-step explanation:
3/4p-1/4p+3=-2
1/2p+3=-2
1/2p=-5
-10
The Riley family has 3 children all born 1 year apart. Kate is the youngest, Bradley is the middle child, and Cameron is the oldest. Together, the children's ages total 36. How old is Kate?
Step-by-step explanation:
12
Answer:
11
Step-by-step explanation:
11+12+13 =36
So Kate would be 11. Bradley would be 12. And Cameron would be 13
please hurry aliviabettis
Answer: ummm......real life confusion 101 but, ighty den. i'm not finna ask questions
In one particular suburb, there are 10 families that own a labrador. If there are a total of 20 families that own a dog in general, then what percentage of dog owners have a labrador?
A line with slope -3 passes through the points (5,2) and (9,y). Find y. (and yes I know this is a repost but the other one was wrong its not y=5)
9514 1404 393
Answer:
y = -10
Step-by-step explanation:
Using the point-slope form of the equation for a line, we can write the equation as ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -2 = -3(x -5)
Using the values for the other point, this becomes ...
y -2 = -3(9 -5)
y = -3(4) +2
y = -10
Which only lists multiples of 18? O 1,2,3, 4, 6, 9, 18 O1,2,3, 6, 9, 18 O 18, 27, 36, 45 18, 36, 54,72
。 • ﾟ 。
. . . 。 。 .
. 。 ඞ 。 . •
• Red_kid was not the Impostor. 。 .
Answer: 18,36,54,32
Step-by-step explanation:
Simplify 5-3y+(-9y)+5.5
Answer:
-1.5y
Step-by-step explanation:
Sunflower
Post Malone, Nicky Jam, ...
Ayy, ayy, ayy, ayy (ooh)
Ooh, ooh, ooh, ooh (ooh)
Ayy, ayy
Ooh, ooh, ooh, ooh
Needless to say, I keep her in check
She was a bad bad, nevertheless (yeah)
Callin' it quits now, baby, I'm a wreck (ayy)
Crash at my place, baby, you're a wreck (ayy)
Needless to say, I'm keepin' her in check
She was a bad bad, nevertheless
Callin' it quits now, baby, I'm a wreck
Crash at my place, baby, you're a wreck
Thinkin' in a bad way, losin' your grip
Screamin' at my face, baby, don't trip
Someone took a big L, don't know how that felt
Lookin' at you sideways, party on tilt
Ooh, some things you just can't refuse
She wanna ride me like a cruise
And I'm not tryna lose
Then you're left in the dust
Unless I stuck by ya
You're a sunflower
I think your love would be too much
Or you'll be left in the dust
Unless I stuck by ya
You're the sunflower
You're the sunflower
Every time I'm leavin' on ya (ooh)
You don't make it easy, no, no (no)
Wish I could be there for ya
Give me a reason to (to, to)
Oh, every time I'm walkin' out (ayy)
I can hear you tellin' me to turn around
Fightin' for my trust and you won't back down
Even if we gotta risk it all right now, oh (now)
I know you're scared of the unknown (known)
You don't wanna be alone (alone)
I know I always come and go (and go)
But it's out of my control
And you'll be left in the dust
Unless I stuck by ya
You're the sunflower
I think your love would be too much
Or you'll be left in the dust
Unless I stuck by ya
You're the sunflower
You're the sunflower
(Yeah)
Answer:
ok
Step-by-step explanation:
heres a memeeeee
PLEASE HELP! 6TH GRADE MATH please write done what number you're doing
Answer:
# 10 is 4/3 or 1 and 1/3
#11 is 4/10 or 2/5
#12 is 2 and 3/4
#13 is 36/12 or 3 and 1/12
Step-by-step explanation:
i am not 100% sure on #13 btw
hope this helped!
p.s it would be cool if you gave me brainliest.
Answer:
Hey your answers on there are correct.
Step-by-step explanation: