Which statement is true regarding the functions on the
graph?

° f(2) = g(2)
° f(0) = g(0)
° f(2)= g(0)
° f(0) = g(2)

The Propositions are resulting

(a) ∀x∃y(x = y²) is False

(b) ∀x∃y(x² = y) is True.

(c) ∃x∀y(xy = 0) is True.

(d) ∀x∃y(x + y = 1) is True.

(a) ∀x∃y(x = y²)

This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².

Therefore, the proposition (a) is false.

(b) ∀x∃y(x² = y)

For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.

Therefore, the proposition (b) is true.

(c) ∃x∀y(xy = 0)

The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.

Therefore, the proposition (c) is true.

(d) ∀x∃y(x + y = 1)

To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.

Therefore, the proposition (d) is true.

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Therefore, we estimate that there are 2250 Art majors in the total population.

In mathematics, a proportion is an equation that states that two ratios are equal. A ratio is a comparison of two quantities expressed as a fraction or a decimal. Since both sides of the equation are equal, the proportion is true. Proportions are used in many mathematical and real-world contexts, such as in geometry, finance, and statistics. They are useful for comparing and scaling quantities, and for solving problems involving unknown quantities or variables.

Here,

We can use proportions to estimate the total number of Art majors in the population based on the proportion of Art majors in the sample.

The proportion of Art majors in the sample is:

75/250 = 0.3

We can assume that this proportion is representative of the proportion of Art majors in the population.

So, if x is the total number of Art majors in the population, then we can set up the following proportion:

0.3 = x/7500

To solve for x, we can cross-multiply and simplify:

0.3 * 7500 = x

x = 2250

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Answer:

---------------------------------

Real distance is 4.4 miles and on the map it is 8 inches.

The scale is:

or

Answer:   71º

Step-by-step explanation:

I cant remeber the therum but basically its just the opposite, super simple!!

Answer:

C: 110.25

Step-by-step explanation:

The simplification form of the provided expression is 18.25 option (A) is correct.

It is defined as the combination of constants and variables with mathematical operators.

We have a mathematical expression:

\(= \rm \dfrac{7\times8+20(4.5)}{16\times0.5}\)

= (56 + 90)/8

= 146/8

= 18.25

Thus, the simplification form of the provided expression is 18.25 option (A) is correct.

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The width of the deck given that the entire deck needs 40 feet to trim is 8 feet

Let's assume the width of the rectangular deck is "w".

The perimeter of the deck can be calculated by using the formula: P = 2(l + w), where P is the perimeter, l is the length, and w is the width.

Here, the length of the deck is given as 12 feet.

So, P = 2(12 + w)

We also know that the total trim required is 40 feet.

So, P = 40 feet

Equating both the expressions for P, we get:

2(12 + w) = 40

Simplifying the equation, we get:

24 + 2w = 40

2w = 16

w = 8

Therefore, the width of the deck is 8 feet.

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Answer:

C (40)

Step-by-step explanation:

8^2 + 15^2 = C^2

64 + 225 = C^2

289 = C^2

17 = C

It's asking for the permiter, so you have to add up all the sides:

8 + 15 + 17 = 40

ANSWER

EXPLANATION

Given;

Now using the formula for simple interest

substituting the values we have;

Now the interest after 7 months would be

The maturity value is

(a) Expand the given expression as

\(\dfrac{3s-10}{s^2+25}=3\cdot\dfrac s{s^2+25}-2\cdot\dfrac5{s^2+25}\)

You should recognize the Laplace transform of sine and cosine:

\(L[\cos(at)]=\dfrac s{s^2+a^2}\)

\(L[\sin(at)]=\dfrac a{s^2+a^2}\)

So we have

\(L^{-1}\left[\dfrac{3s-10}{s^2+25}\right]=3\cos(5t)-2\sin(5t)\)

(b) Take the Laplace transform of both sides:

\(y'(t)+3y(t)=e^{6t}\implies (sY(s)-y(0))+3Y(s)=\dfrac1{s-6}\)

Solve for \(Y(s)\):

\((s+3)Y(s)-2=\dfrac1{s-6}\implies Y(s)=\dfrac{2s-11}{(s-6)(s+3)}\)

Decompose the right side into partial fractions:

\(\dfrac{2s-11}{(s-6)(s+3)}=\dfrac{\theta_1}{s-6}+\dfrac{\theta_2}{s+3}\)

\(2s-11=\theta_1(s+3)+\theta_2(s-6)\)

\(2s-11=(\theta_1+\theta_2)s+(3\theta_1-6\theta_2)\)

\(\begin{cases}\theta_1+\theta_2=2\\3\theta_1-6\theta_2=-11\end{cases}\implies\theta_1=\dfrac19,\theta_2=\dfrac{17}9\)

So we have

\(Y(s)=\dfrac19\cdot\dfrac1{s-6}+\dfrac{17}9\cdot\dfrac1{s+3}\)

and taking the inverse transforms of both sides gives

\(y(t)=\dfrac19e^{6t}+\dfrac{17}9e^{-3t}\)

The location of point A''' after the three transformations would be (-4, 1).

To determine the location of point A''', we need to apply the three transformations (reflection over the y-axis, reflection over the x-axis, and rotation of 180°) to point A.

When a point is reflected over the y-axis, the x-coordinate is negated while the y-coordinate remains the same.

So, the reflection of point A (-4, 1) over the y-axis would be (4, 1).

When a point is reflected over the x-axis, the y-coordinate is negated while the x-coordinate remains the same. So, the reflection of point (4, 1) over the x-axis would be (4, -1).

When a point is rotated 180°, the x-coordinate and y-coordinate are both negated. So, the rotation of point (4, -1) by 180° would be (-4, 1).

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ANSWER:

The value of x is 43°

STEP-BY-STEP EXPLANATION:

We know that the sum of the internal angles in a triangle is equal to 180°

We also know that the sum of the internal and external angle is also equal to 180°

Therefore:

The first thing is to calculate the value of the internal angles, like this

replacing:

Check the picture below.

No, there are x values which map to more than 1 y-value.

Given that Matthew examines the relation as shown in the below.

{(4, -11), (3,1), (0,1), (2,6), (3, -1)}

We need to check whether the relation is a function or not,

So, we know that,

A relation can map inputs to multiple outputs. It is a function when it maps each input to exactly one output. The set of all functions is a subset of the set of all relations.

If any x values are repeated, and the corresponding y values are different, then we have a relation and not a function.

Here we can see that the y values are repeated, so it is not a function.

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The linear function C has the greatest initial value is 2. And the linear function B that has the greatest rate of change is 3.

The complete question is attached below.

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

Then the equations of the functions A, B, and C is given as

Function A: y = 5/2 x

Function B: y = 3x - 1

Function C: y = 1/3x + 2

Then graph of the functions is given below.

The linear function C has the greatest initial value is 2.

The linear function B that has the greatest rate of change is 3.

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Answer:

38 = 1 x 38 or 2 x 19. Factors of 38: 1, 2, 19, 38. Prime factorization: 38 = 2 x 19

Answer:

3(x + 5y) - 2(x + y)

3x + 15y - 2x - 2y

x + 13y

(3x + 15y) + (-2x + -2y)

x + 13y

Answer:

-19 and 19

Step-by-step explanation:

The only values that have an absolute value of 19 are -19 and 19.

Answer:

Hope I helped!~

Step-by-step explanation:

To find the equation of the line, we can use the slope-intercept form of the equation:

y = mx + b

where m is the slope of the line and b is the y-intercept.

Using the two data points given, we can calculate the slope:

m = (11.25 - 8.35) / (1995 - 1993) = 1.95

To find the y-intercept, we can use one of the data points:

8.35 = 1.95(1993) + b

b = -3884.65

So the equation of the line is:

y = 1.95x - 3884.65

To predict the price of a box of two pieces on July 1, 1999, we can substitute x = 6 (since 1999 is 6 years after 1993) into the equation:

y = 1.95(6) - 3884.65

y = 11.7 - 3884.65

y = -3872.95

This gives us a negative price, which obviously does not make sense. It is likely that the price of a box of two pieces was not linearly increasing during this time period, or that there were other factors influencing the price. Therefore, we cannot use this equation to accurately predict the price of a box of two pieces on July 1, 1999.

The required piecewise linear relations are f(x) = 4 if [0, 2), and f(x) = -2x + 8 if [2, 4).

A piecewise-defined function (also known as a piecewise function or a hybrid function) is a function defined by multiple sub-functions, each of which applies to a different interval of the main function's domain (a sub-domain).

The graph is given in the question, as shown

f(x) = 2x + 4 if [-2, 0]

This the sub-function define between the interval [-2, 0].

f(x) = 4 if [0, 2)

This the sub-function define between the interval [0, 2).

f(x) = -2x + 8 if [2, 4)

This the sub-function define between the interval [2, 4).

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Answer:

False

Step-by-step explanation:

We have several terms that we can take reference to in this true or false situation. The first is Central Tendency which measures for locating a single score that's most representative or descriptive of all scores in a distribution.

Given text:

The sum of the squared differences of scores from their mean is zero.

The main term within this sentence is the word mean. This term is the sum of a set divided by the total (#) of scores summed.

In order to determine whether this is true or false, we must list what is referred to as the 5 characteristics of the term Mean.

1. Changing an existing score will change the mean.

2.Adding a new score or removing an existing score will change the mean, unless that value equals the mean.

3. Adding, subtracting, multiplying, or dividing each score in a distribution by a constant will cause the mean to change by that constant.

4. The sum of the differences of scores from their mean is zero.

5. The sum of the squared differences of scores from their mean is minimal.

After taking closer analysis, there has been clarification within the characteristics of the mean confirming that the answer is indeed false.

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If the trend had continued unchecked, 3,774,873,600 people would have died from AIDS in 2004

The equation of the function is given as

P(n) = 1800(2.0)^n

Where n represents the number of years since 1983

There are 21 years from 1983 to 2004

This is calculated as

n = 2004  - 1983

n = 21

Substitute 21 for n in the equation P(n) = 1800(2.0)^n

So, we have

P(21) = 1800(2.0)^21

Evaluate

P(21) = 3774873600

Hence, if the trend had continued unchecked, 3,774,873,600 people would have died from AIDS in 2004

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10 is the answer

why are you struggling

so simple

Mark me as brainliest

Answer:

50 days

Step-by-step explanation:

Grace=3x+200

Joseph=6x+50

3x+200=6x+50

3x=150

x=50

Answer:

UNDEFINED

Step-by-step explanation:

Can't further simplify the function

Answer: 1:18

Step-by-step explanation:

Answer:

2 inches : 3 inches

Step-by-step explanation:

Start with turning the 2 feet into inches

2(12)

24

Then to simplify a ratio just find the Greatest Common Factor, which is 12 in this case

24:36

\(\frac{24}{12} : \frac{36}{12}\)

= 2:3

There are no extraneous solutions when plugging -7 into x-5=2(x+1).

So extraneous solutions means the solutions that you get by solving an equation, but after you try plugging it back into your original equation, the solution does not work.

Now we have our solutions of x=7, and we just need to check whether it is extraneous or not. We can do this by taking x=1 and plugging it back into your original equation  x - 5 = 2(x + 1)

x - 5 = 2(x + 1)

-7 - 5 = 2(-7 + 1)

-12 = -14 + 2

-14 + 14

0 = 0

We end up getting that 0 = 0 which is correct,

Thus, there are no extraneous solutions.when plugging -7 into x-5=2(x+1).

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Answer:

A

Step-by-step explanation:

To solve the equation 7x-3(x-6)=30, we need to use the distributive property to simplify the left-hand side of the equation:

7x - 3(x-6) = 30

7x - 3x + 18 = 30

4x + 18 = 30

Next, we need to isolate the variable term on one side of the equation. To do this, we can subtract 18 from both sides:

4x + 18 - 18 = 30 - 18

4x = 12

Finally, we can solve for x by dividing both sides by 4:

4x/4 = 12/4

x = 3

Therefore, the solution to the equation 7x-3(x-6)=30 is x = 3. Answer A is correct.

The missing code that can be used to replace / missing code / so that the code segment works as intended is x >= 10.

The code segment is intended to store the sum of all multiples of 10 between 10 and 100, inclusive. The value of x starts at 100 and is decremented by 10 on each iteration of the loop, until it reaches 10. The sum of all the multiples of 10 between 10 and 100 is stored in the variable total.

The missing code in the while statement determines when the loop will stop. If we use x >= 10 as a replacement for / missing code /, the loop will run as long as x is greater than or equal to 10. When x reaches 10, the loop will stop.

Here's the complete code:

int x = 100;

int total = 0;

while(x >= 10)

{

   total = total + x;

   x = x - 10;

}

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Your question is incomplete but probably the complete question is:

Consider the following code segment, which is intended to store the sum of all multiples of 10 between 10 and 100, inclusive (10 + 20 + ... + 100), in the variable total.

int x = 100;

int total = 0;

while( / missing code / )

{

total = total + x;

x = x - 10;

}

Which of the following can be used as a replacement for / missing code / so that the code segment works as intended?

A x < 100

B x <= 100

C x > 10

D x >= 10

E x != 10