Answer:
Step-by-step explanation:
for reflection around x-axis.
(x,y)→(x,-y)
so P' is (-7,4)
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
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Lilia asked 12 students how many courses they have taken so far at her college. Here is a least of answers.
23,16,5,3,22,10,18,26,1,9,3,14
What is the percentage of these students who have taken a fewer than 11 courses?
Answer:
50%
Step-by-step explanation:
6/12 students have taken fewer than 11 courses.
50% of students have taken fewer than 11 courses.
6/12=50/100
help me please will give brainliest
Answer:
I believe it's 8 degrees
Step-by-step explanation:
if x=8, then the angle of S would equal 8 degrees
Liam needs a guitar case. It must be 1.18 m long. Select the case that is suitable? 11.8mm,118cm,1.8m ,11.18mm
Answer:
118 cm
Step-by-step explanation:
1 m = 100 cm
1 m = 1000 mm
1.18 m = 118 cm = 1180 mm
11.8 mm ----> too small
118 cm ----> just right
1.8 m ----> too big
11.18 mm ----> too small
Where the above dimensions are given, the suitable guitar case for Liam would be the one that is 1.8 m long.
How is this so?Since Liam's guitar case needs to be 1.18 m long, we need to select the option that is closest in length without exceeding it.
Among the given options, 11.8 mm and 11.18 mm are too small, and 118 cm is equal to 1.18 m, which exceeds the required length.
Hence , the only suitable option is 1.8 m, which matches Liam's requirement of a guitar case with a length of 1.18 m.
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obtain the equation of two points passing of lines 4x-3y-1=0 and 2x-3y+3=0 and equally inclined to the axes
Answer:By 8(4)P.5, the slope of the line equally inclined to axes is tan(±45
o
)=±1. Hence by P+λQ=0,
5λ+3
2λ+4
=±1
⇒λ=
3
1
,−1. Putting for λ, the two lines are
x−y=0,x+y−2=0.
Was this answer helpful
2. How many radians are in 27"?
The answer is 0.471 radians.
FORMULA:
Just do 27° × π/180 = 0.4712rad but then cut off the two.
Which model represents the equation 15= 3x?
Answer:
C
Step-by-step explanation:
We want to find the total, which is 15. This crosses out A and B.
Also there are 3 x that makes a total of 15, (3x is x copied 3 times, not 3 + x), this crosses out D.
The only option left is C.
5/8 of the students in
the Science Club are girls.
If there are 32 students in
the club. How many boys
are there?
What is 1.827 rounded to the nearest tenth
Answer:
1.8
Step-by-step explanation:
Answer:
1.8
Step-by-step explanation:
decimals go tenth hundredth thousandth ten thousandth hundred thousandth millionth ten millionth and so on
What is the value of x when 1/3x = 9 1/2
I'll help.
\( \frac{1}{3}x = 9 \frac{1}{2} \)
\(x = ?\)
↓
\( \frac{1}{3} x = \frac{19}{2} \)
\(x = \frac{57}{2} \)
"How it can be 57 ?"
The number 19 is multiplied by the number 3 at the bottom left.
19 × 3 = 57.
solve by completing the square
x2 - 3x + 4 = 9
If a constant is required, it must be added in order to complete the square, which entails writing a quadratic in the shape of a squared bracket.
Solve by completing the square ?If a constant is required, it must be added in order to complete the square, which entails writing a quadratic in the shape of a squared bracket.
Finding the function's greatest or minimum value and its occurrence are two uses of the square that can be made.
Changing the equation so that the left side is a perfect square trinomial results in the completion of the square.
That's just a fancy way of saying that the method of factoring quadratic equations known as completing the square allows you to factor quadratic equations that previously couldn't be factored.
3x^2 + 9x - 4
3x^2 + 9x = 4
3(x^2 + 3x) = 4
Consequently, a = 3.
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Suppose you are a ladybug on the “outer” surface of the Klein bottle. Describe a path on the surface of the bottle that you can travel that would get you to the “inside” where a special gentleman bug is waiting.
As a ladybug on the outer surface of the Klein bottle, there is no direct path to the inside. However, you can travel along a specific type of curve called a "cross-cap curve" to reach the inside. and using topology.
To do this, start by moving along the outer surface of the Klein bottle until you reach the point directly opposite to your starting position. Then, imagine folding the surface of the bottle in half along a line that runs through this point.
This folding will create a new surface that intersects with the original surface of the bottle along a cross-cap curve. Follow this curve until you reach the inside of the Klein bottle, where the special gentleman bug is waiting for you.
It's important to note that the Klein bottle is a non-orientable surface, which means that there is no "inside" or "outside" in the traditional sense. However, the concept of inside and outside can still be useful for navigation purposes.
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Use the following conversions to answer the question.
60 seconds = 1 minute
60 minutes = 1 hour
24 hours = 1 day
How many minutes are there in a week?
A. 420
B. 1,400
C. 10,080
D. 604,800
Answer:
C. 10,080
Step-by-step explanation:
We can multiply to find how many minutes there are in 1 day.
24 * 60 = 1,440
Now, we can multiply that value by 7 to find out how many minutes there are in 1 week.
1,440 * 7 = 10,080
Best of Luck!
answer this question math
Answer:
B) 4+2+x and (4+2)+x
What is the value of x
83
58
50
70.5
Answer:
58
Step-by-step explanation:
\(x = \frac{141 - 25}{2} = 58\)
4x + 2y =19 3x+3y = 17.25
Answer: 4x=3y-19 3x+2y=24 its 24
Answer: x
=
3.75
,
y
=
2
Step-by-step explanation:
Leslie wants to deposit $10,000 in an account that earns 5% simple interest paid annually so that she will have $12,000 when she starts college. How long will it take her account to reach $12,000?
SHOW WORK PLEASE ASAP
To reach $12,000 the account will take 4 years.
What is simple interest?It is the interest calculated on the principal at a given rate for a time period.
The formula for simple interest is PRT/100.
Where,
P = principal
R = rate
T = time
We have,
P = $10,000
R = 5%
A = $12,000
Now,
A = P + SI
12,000 = 10,000 + SI
12,000 - 10,000 = PRT/100
2000 x 100 = 10,000 x 5 x T
20 = 5 x T
T = 20/5
T = 4
Thus,
The account will take 4 years.
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Mary wants her friend to guess how many cards she has in her hand. She says that if the number of cards in her hand is tripled, and 4 are added, then she has 22 cards.
Answer:
22 minus 4 = 18
18 divided by 3 is equal to 6
then following from the question now that we got the answer
so she have 6 cards first then it tripled and now it's 18 Then she added four now it's 22
your welcome
Answer:
6
Step-by-step explanation:
let x be the number of cards
3x + 4 = 22
3x = 18
x = 6
ANOTHA ONE LETS GOOOOOO
Answer:
1/560
Step-by-step explanation:
So the x input which is the top row the numbers increase by 1 so that is your top number of your slope (rate of change)
And your bottom row increases by 560 so that is your bottom number of your slope
So your rate of change is 1/560
How do I know where to get these numbers?
Well if you take the first 2 numbers from the top row (in your case 1 and 2) and subtract them from each other (2-1=1) you get your first number. Then you do the same for the bottom (in your case 560 and 1120) subtract them (1120-560=560) and get your bottom....If needed you can simplify your fraction but sometimes your slope can come out as a whole number instead of a fraction but in your case you have a fraction.
That is where you get 1/560
Hope this helped!
If 3/4 of an inch on a map is equal to 45 miles , what does 1 inch represent?
Answer:
60 miles
Step-by-step explanation:
if 45 = 3/4
divide 45 by 3 = 15
15 * 4 = 60
Roger’s office building has a $320,000 value, a 2 rating, and a B building classification. The contents in the building are valued at $105,000. Calculate his total annual premium.
Answer:
2,230
Step-by-step explanation:
Zaid and Matias, two farmers, constructed a 792 foot fence around their very large garden. Zaid agreed to construct 20% more of the fence than Matias did. How much of the fence did Zaid construct?
Answer:
\( 1.2x +x =792\)
\( 2.2x =792\)
And we got finally:
\( x =\frac{792}{2.2}= 360 ft\)
And the amount for Zaid would be 1.2*360 ft= 432ft
So then Zaid construc 432 ft and Matias 360 ft
Step-by-step explanation:
For this case we know that Zaid and Matias, two farmers, constructed a 792 foot fence around their very large garden so then the total is represented by 792 ft
We also know that Zaid agreed to construct 20% more of the fence than Matias did. Let's assume that the amount that construct by Matias was x then the amount constructed by Zaid would be 1.2 x representing 20% more than Matias and we can set up the following equation:
\( 1.2x +x =792\)
\( 2.2x =792\)
And we got finally:
\( x =\frac{792}{2.2}= 360 ft\)
And the amount for Zaid would be 1.2*360 ft= 432ft
So then Zaid construc 432 ft and Matias 360 ft
Use a linear approximation to estimate 3√28 write your exact answer with fractions
The estimated value of 3√28 using linear approximation is 82/27 which is answered in form of fraction.
What is linear approximation?A general function can be approximated using a linear function in mathematics using the term "linear approximation" (more precisely, an affine function). They are frequently utilised in the finite difference method to create first order approaches for resolving or approximating solutions to equations.
We need to find the approximate value of ∛28 using linear approximation
Let f(a) = ∛a
then F(27) = ∛27 = 3
We compute the derivative of f(a) as being
\(f(a)=a^{\frac{1}{3}}\) ⇒ \(f'(a)=\frac{1}{3}a^{-\frac{2}{3}}\)
Hence,
\(f'(a)=\frac{1}{3}a^{-\frac{2}{3}}\) = \(\frac{1}{3}(3)^{-2}=\frac{1}{3}(\frac{1}{9})=\frac{1}{27}\)
Recall the equation of a line is given by
⇒ y - b = m(x - a)
⇒ \(y-3=\frac{1}{27}(x-27)\)
⇒ \(y=\frac{1}{27}x-1+3\)
⇒ \(y=\frac{1}{27}x+2\)
So the approximation at x= 27.5 would be
⇒ \(y=\frac{1}{27}(28)+2\)
⇒ y = 82/27
⇒ y = 3.037
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Heeeeeeeeeeelppppppppppppppppppp
Calculate the acceleration of a moving object, given that the object is 500 g and has a a force of 6.5 n
Hello!
\(\large\boxed{a = 13m/s^{2}}\)
Use the equation F = m · a to solve where:
F = total force (N)
m = mass (kg)
a = acceleration (m/s²)
We are given the force and mass, so we can plug these values into the equation to solve.
However, mass is used in kilograms, so we must convert from grams to kilograms:
1 kg = 1000 grams
Convert using dimensional analysis or proportions:
\(500 g* \frac{1 kg}{1000g} = 0.5kg\)
Plug in the force and mass to solve:
6.5 = 0.5(a)
Divide both sides by 0.5 (Multiply by 2)
a = 13 m/s²
Answer:
OKOKOKOKOKO
Step-by-step explanation:
OKOKOKOKOKOKOKOKOOKOOKO
To evaluate whether customers enjoy the barista’s new smoothie, a restaurant manager surveys every other customer who orders the new smoothie. The manager determines that customers enjoy the new smoothie. Select all the statements that are true about the sampling method.
The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.
Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:
1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.
2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.
3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.
4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.
5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.
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FIND THE AREA PLEASE
Answer:
the area of the shape is 48m
Step-by-step explanation:
10*4=40
2*4=8
40+8=48
brake it up into two triangles. one is a triangle that is 10m tall and 8m wide at the top. you can solve that by doing 4*10=40. the other triangle is 4m wide at the bottom and 2m tall. you can solve that by doing 2*4=8. and 40+8=48.
Harshini rode her bicycle 13.76 kilometers on Monday, 9.8 kilometers on Wednesday, and 16.415 kilometers on Friday. She used the addition below to determine the total distance she rode over the three days. 13.76 + 9.8 + 16.415 = 39.975. All decimal points are aligned. Which method determines whether her answer is reasonable?
A.) Remove the decimal points and add 137 + 98 + 16415 = 17,889; since 17,889 is not close to 39.975, her answer is not reasonable.
B.) Round all the numbers to 20; since 20 + 20 + 20 = 60 and 60 is not close to 39.975, her answer is not reasonable.
C.) Round all the numbers to 10; since 10 + 10 + 10 = 30 and 30 is close to 39.975, her answer is reasonable.
D.) Round 13.76 to 14, round 9.8 to 10, and round 16.415 to 16; since 14 + 10 + 16 = 40 and 40 is close to 39.975, her answer is reasonable.
Answer: AKA B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Solve: 3,125 = 5^-10 + 3x DONE
Which expression represents the phrase: “3 fewer than a number, p”?
Answer:
p - 3
Step-by-step explanation:
"fewer than" means subtract from, in this case 3, from an unknown number represented by p
The expression represents the phrase: “3 fewer than a number, p" is
(p-3).
What is Expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
Expression: (Math Operator, Number/Variable, Math Operator)
We have,
Statement - “3 fewer than a number, p”
We know that the symbol for fewer would subtraction.
Then, the mathematical expression for 3 fewer than a number, p is
= (p - 3)
Thus, the required expression is (p-3).
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