Let F(x, y) be the statement "x can fool y," where the domain consists of all people in the world. Use quantifiers to express each of these statements. a) Everybody can fool Fred. b) Evelyn can fool everybody. c) Everybody can fool somebody. d) There is no one who can fool everybody. e) Everyone can be fooled by somebody. f) No one can fool both Fred and Jerry. g) Nancy can fool exactly two people

Answer:  15-1/2x=21

Step-by-step explanation:

I plugged in - 12 to it and it was right. I also did the other ones to check and the first one is the only one right.

The simplified expression is (5b - 7a²) / (a²b²).

To add or subtract the expressions 5/a²b and -7a/5b², we need to find a common denominator.

The common denominator for a²b and 5b² is a²b².

Let's rewrite the expressions with the common denominator:

5/a²b = (5 * b) / (a² * b²) = 5b / a²b²

-7a/5b² = (-7a * a) / (5 * a² * b²) = -7a² / 5a²b²

Now, we can combine the expressions:

5b / a²b² - 7a² / 5a²b²

To subtract these expressions, we need to have the same denominator, which we already have. Thus, we can combine the numerators:

(5b - 7a²) / (a²b²)

The simplified expression is (5b - 7a²) / (a²b²).

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The granite countertop costs $555

From the question, we have the following parameters that can be used in our computation:

Length = 3 meters

Width = 1 meter

Cost per square meter = $185.00

The cost of the granite counter is then calculated as

Cost = Length * width * Cost per square meter

substitute the known values in the above equation, so, we have the following representation

cost = 3 * 1 * 185

Evaluate

cost = 555

hence, the cost is $555

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Samantha and her family can travel approximately 135 miles in 3 hours.

The formula to calculate the distance traveled is r · t, where r represents the rate or speed, and t represents the time.

In this case, Samantha's family is traveling in a car at an average speed of 45 miles per hour, and they want to know how many miles they can travel in 3 hours.

To find the distance traveled, we can use the formula r · t. We substitute the given values into the formula:

Distance = 45 miles per hour × 3 hours

Now, we can calculate the distance:

Distance = 45 miles/hour × 3 hours
Distance = 135 miles

So, Samantha and her family can travel approximately 135 miles in 3 hours.

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Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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Answer:

area =  452.39 square units

circumference = 75.40 square units

Step-by-step explanation:

area = \(\pi r^{2}\)

r = 12

452.389

circumference = \(\pi *d\)

d = 2r

r = 12

d = 24

75.398

Answer:

you need to substitute f(x)=0, there are two possible answers: x1=-6, x2=3

Step-by-step explanation:

\(f(x) = (x + 6)(x - 3) \\ f(x) = 0 \\ 0 = (x + 6)(x - 3) \\ swap \: it \\ (x + 6)(x - 3) = 0 \\ x + 6 = 0 \\ x - 3 = 0 \\ x = - 6 \\ x = 3 \\ x1 = - 6 \\ x2 = 3\)

Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. The value of the account on January 1, 2021, would be $2,331.57.

To calculate the value of the account on January 1, 2021, we need to consider the compounding interest for each year.

First, we calculate the value of the initial deposit after three years (12 quarters) using the formula for compound interest:

Principal = $1,000

Rate of interest per period = 8% / 4 = 2% per quarter

Number of periods = 12 quarters

Value after three years = Principal * (1 + Rate of interest per period)^(Number of periods)

                           = $1,000 * (1 + 0.02)^12

                           ≈ $1,166.41

Next, we calculate the value of the additional $1,000 deposit made on January 1, 2019, after two years (8 quarters):

Principal = $1,000

Rate of interest per period = 2% per quarter

Number of periods = 8 quarters

Value after two years = Principal * (1 + Rate of interest per period)^(Number of periods)

                         = $1,000 * (1 + 0.02)^8

                         ≈ $1,165.16

Finally, we add the two values to find the total value of the account on January 1, 2021:

Total value = Value after three years + Value after two years

                ≈ $1,166.41 + $1,165.16

                ≈ $2,331.57

Therefore, the value of the account on January 1, 2021, is approximately $2,331.57.

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Answer:

n = 19/18

Step-by-step explanation:

Given:

11/6 = n + 7/9

Find n

11/6 = n + 7/9

Subtract 7/9 from both sides of the equation

11/6 - 7/9 = n + 7/9 - 7/9

11/6 - 7/9 = n

(99-42) / 54 = n

n = 57/54

n = 19/18

Answer:

19/18

Step-by-step explanation:

Answer

=5

4^5=2x2x=1024x=512 

Answer: \(x=65^{\circ}, y=65^{\circ}, z=65^{\circ}\)

Step-by-step explanation:

All radii of a circle are congruent, so by the base angles theorem

Also, angles x and y are inscribed in the same arc, and they are thus congruent, meaning x = 65.

The real estate major collected information on various variables, gathering data for each one.

The real estate major conducted a comprehensive data collection process to gather information on multiple variables. This undertaking aimed to provide a detailed understanding of various aspects related to real estate. The collected data encompassed a range of factors that influence the real estate market, such as property prices, location demographics, housing preferences, market trends, and economic indicators.

By examining these variables, the real estate major could gain insights into market dynamics and make informed decisions regarding investment strategies, property development, and pricing. The data collection process likely involved extensive research, surveys, interviews, and data analysis techniques to ensure accuracy and reliability. This information can be leveraged to identify emerging trends, forecast market conditions, and assess the potential profitability of different real estate ventures.

Overall, the real estate major's effort to collect information on multiple variables underscores their commitment to understanding the complex nature of the real estate market and making well-informed decisions based on reliable data.

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Answer:

green

Step-by-step explanation:

green

The amount Marcia saved in interest by consolidating the two balances will be $105

It is given that

For Card A = 1,879.58 ; APR 14%; monthly = 43.73

For Card B = 861.00 ; APR 10% ; monthly = 18.29

Now \(\rm 5\ Years \times\ 12\ months =60\ months\)

For Card \(A=43.73\times60=2623.80\)

For Card \(B=18.29\times60=1097.40\)

Now the \(\rm Total=2623.80+1097.40=3721.20\)

Since Lowest APR is 10%. monthly rate: 0.83%

So the Total Card balance  \(1879.58+861=2740.58\)

\(A=\dfrac{P\times r(1+r)^n}{(1+r)^n} -1\)

\(A=\dfrac{2740.58\times(0.0083(1.0083)^{60}}{1.0083^{60}}-1\)

\(A=2740.58\times0.022\)

So monthly payment.

\(A=60.29\)  

\(60.29\times60=3617.40\)

For Separate cards: 3,721.20

For Consolidated:     3,617.40

The Difference: 103.80

Thus the amount Marcia saved in interest by consolidating the two balances will be $105

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Answer:

Step-by-step explanation:

The best statement that describes the function of the logic variable X is: A. X is a variable whose value is 1 or 0.

Logic variables typically represent binary states or conditions, where 1 represents "true" or "on" and 0 represents "false" or "off". Therefore, option A accurately describes the function of the logic variable X as having a value of either 1 or 0. Logic variables are often used in the field of logic and computer science to represent binary states or conditions. The value of a logic variable can only be one of two possibilities: 1 or 0.

In this context, 1 typically represents "true" or "on," indicating that a certain condition is satisfied or a certain state is active. On the other hand, 0 represents "false" or "off," indicating that the condition is not satisfied or the state is inactive.

By using logic variables, we can model and manipulate binary logic in a precise and systematic manner. The values of logic variables are fundamental in logical operations, such as AND, OR, and NOT, which are essential in designing and analyzing digital circuits, programming, and logical reasoning.

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Answer:

Break it into 2 parts.

Explanation:

Y=4x

Firstly draw the graph of y=4x , then light it up the y-axis by 4 units.

Or you can do it by plotting points; say x=0, x=1, x=2 and so on.

Step-by-step explanation:

Answer:

so the 2 questions i see are surveys so... you have to answer them with truth on your own self

Step-by-step explanation:

Answer:

hi i am the person that you are talking to with all the comments give him brainliest

Step-by-step explanation:

If f (x) < g(x) for all real 1; The expression that must be true is I f'(x)sg'(x) for all real x II. f'(x)≤g'(x) for all real x III. f(x)dx ≤ [8(x)dx is option D. I and II only

I. f(x) and g(x) have continuous first and second derivatives everywhere, so by the mean value theorem, there exists a point c in the interval (a, b) such that f'(c) = (f(b) - f(a)) / (b - a) and g'(c) = (g(b) - g(a)) / (b - a). Since f(x) < g(x) for all x, we have f(b) - f(a) < g(b) - g(a), so f'(c) < g'(c), and thus, f'(x) < g'(x) for all x.

II. f(x) and g(x) have continuous first and second derivatives everywhere, so by the mean value theorem, there exists a point c in the interval (a, b) such that f''(c) = (f'(b) - f'(a)) / (b - a) and g''(c) = (g'(b) - g'(a)) / (b - a). Since f'(x) < g'(x) for all x, we have f'(b) - f'(a) < g'(b) - g'(a), so f''(c) < g''(c), and thus, f''(x) < g''(x) for all x.

III. This statement is not necessarily true. The definite integral of f(x)dx is equal to the area between the curve and the x-axis, and the definite integral of g(x)dx is equal to the area between the curve and the x-axis. The definite integral of a function does not depend on the value of the function at each point, but on the overall shape of the curve, so it is not guaranteed that f(x)dx ≤ g(x)dx just because f(x) < g(x) for all x.

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The complete question goes thus:

Let f and g have continuous first and second derivatives everywhere. If f (x) < g(x) for all real 1; which of the following must be true? I f'(x)sg'(x) for all real x II. f'(x)≤g'(x) for all real x

III. f(x)dx ≤ [8(x)dx

(A) None

(B) I only

(C) III only

(D) I and II only

(E) I, II, and III

Answer: -2.72 repeated

Step-by-step explanation: First off, you want to divide 60 by 22 which is 2 and 16/22. Now, you can convert this into a simpler fraction which is 2 and 8/11. 8/11 =.72 repeated. Because the problem was originally -60/22, you add your negative back to the 2. So, it's -2.72 repeated.

Answer:yes

Step-by-step explanation:

Answer:

5280

Step-by-step explanation:

Eighty-six thousand and one hundred sixty-three thousandths can be written as a decimal number as 86.163.

To write eighty-six thousand and one hundred sixty-three thousandths as a decimal number, we can express it as 86,163.000.

To write eighty-six thousand and one hundred sixty-three thousandths as a decimal number, we need to convert the whole number and the fraction into decimals separately.

Let's start with the whole number, which is 86,000.

To convert it into a decimal, we move the decimal point three places to the left since there are three zeros after the 86.

This gives us 86.000. Now, let's focus on the fraction, which is one hundred sixty-three thousandths.

This fraction can be written as 163/1000. To convert it into a decimal, we divide the numerator (163) by the denominator (1000). This gives us 0.163.

Finally, we add the decimal form of the whole number (86.000) and the decimal form of the fraction (0.163) together.

86.000 + 0.163 = 86.163

Therefore, eighty-six thousand and one hundred sixty-three thousandths can be written as a decimal number as 86.163.

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The angle measure that corresponds to angle S is angle H.

Given information:

Figure 1 and Figure 3 are congruent figures.

That means, they have the same type of shape but have different sizes.

Therefore, as per the diagram,

PT ≅ GF

TR ≅ FD

RS ≅ DH

SQ ≅ HE

QP ≅ EG.

PTRSQ ≅ GFDHE.

Now, for angle measures,

Angle P is congruent to the angle G.

Angle T is congruent to the angle F.

Angle R is congruent to the angle D.

Angle S is congruent to the angle H.

Angle Q is congruent to the angle E.

As per the congruency of the figures,

∠S ≅ ∠H.

Therefore, ∠S ≅ ∠H.

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Answer:

B, and D

Step-by-step explanation:

Answer:

B and D.

Step-by-step explanation:

A relation between sets is referred to as a function when there is exactly one output for each input.

To write the equation y = ax + b in function notation, substitute f(x) for y

The only true statement is the last one. A function assigns exactly one output value to each input value. The domain is the set of all input, or x-values. The range is the set of all output, or y-values.

y=ax+b can be written in function notation by replacing y with f(x).

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With the help of the figure we can say that triangles are congruent by SAS Rule

What is Congruence of Triangle?

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides are equal and all three of their corresponding angles are equal in size. These triangles can be moved, rotated, flipped, and turned to look exactly the same.

Solution:

By SAS rule, two triangles are said to be congruent if any two sides and the angle included between the sides of one triangle are comparable to the corresponding two sides and the angle included between the sides of the second triangle.

In given figure, sides AB= PQ, BC=QR and angle between AB and BC equal to angle between PQ and QR i.e. ∠B = ∠Q. Hence, Δ ABC ≅ Δ PQR.

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The solution for the inequality in this problem is problem is given as follows:

v ≤ 81.

The four inequality symbols, along with their meaning, are presented as follows:

The inequality is given as follows:

5v/9 ≤ 45.

v ≤ 45 x 9/5

v ≤ 9 x 9

v ≤ 81.

Hence the solution is composed by the numbers to the left of 81, with a closed interval at x = 81.

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Amy will choose the second restaurant to purchase pizza. Because the second one is cheaper.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given,

the first restaurant charges a delivery fee of $6 for the entire purchase and $13 per pizza.

The second restaurant has no delivery fee and charges $16 per pizza.

And Amy will choose between two restaurants to purchase pizzas for her party.

The cost of one pizza of the first restaurant:

Cost = delivery fee + price of one pizza

        = $6 + $13

         = $19

The cost of one pizza of the second restaurant:

Cost = delivery fee + price of one pizza

          = $0 + $16

         = $16

And 16< 19

The second restaurant is cheaper.

Therefore, Amy will choose the second restaurant to purchase pizza.

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