Graph the function and select the y-intercept y = 2 times 3 Superscript x

The phrase "all free variables of a formula ϕ(u1, . . . , un) are among u1, . . . , un" refers to a property of a logical formula ϕ with variables u1, u2, ..., un. In logic and formal systems, variables are used to represent unspecified elements or objects.

When a variable is considered "free" in a formula, it means that it is not bound by any quantifiers or other logical operators in the formula. In other words, it is a variable that is not restricted in any way within the formula.

The given statement implies that all the free variables in the formula ϕ(u1, . . . , un) are explicitly listed among the variables u1, u2, ..., un. In other words, the formula ϕ does not contain any additional free variables beyond the ones explicitly mentioned.

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Step-by-step explanation:

7! = 5040 ways

Answer:

c. ( 5 )

          :)   :)    :)

Answer:

Step-by-step explanation:

Two standard deviations gives 95%.

It means 100% - 95% = 5% out of 100 containers are likely not to be distributed.

5% of 100 containers is 5*100/100 = 5 containers.

Correct choice is C

Answer:

x = 90

Step-by-step explanation:

The given diagram shows a circle with intersecting chords, KM and JL.

To find the value of x, we can use the Angles of Intersecting Chords Theorem.

According to the Angles of Intersecting Chords Theorem, if two chords intersect within a circle, the angle formed at the intersection point is equal to half the sum of the measures of the arcs intercepted by the angle and its corresponding vertical angle.

Let the point of intersection of chords KM and JL be point P.

As the chords are straight lines, angle x° forms a linear pair with angle JPM.

Note: We cannot use the Angles of Intersecting Chords Theorem to find the value of x directly, since we have not been given the measures of the arcs KJ and ML. Therefore, we need to use the theorem to find m∠JPM first.

From inspection of the given diagram:

Using the Angles of Intersecting Chords Theorem, we can calculate the measure of angle JPM (shown in orange on the attached diagram):

\(\begin{aligned}m \angle JPM &=\dfrac{1}{2}\left(m\overset\frown{JM}+m\overset\frown{LK}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+(2x-30)^{\circ}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+2x^{\circ}-30^{\circ}\right)\\\\&=\dfrac{1}{2}\left(2x^{\circ}\right)\\\\&=x^{\circ}\end{aligned}\)

As angle JPM forms a linear pair with angle x°, the sum of the two angles equals 180°:

\(\begin{aligned}m \angle JPM+x^{\circ}&=180^{\circ}\\\\x^{\circ}+x^{\circ}&=180^{\circ}\\\\2x^{\circ}&=180^{\circ}\\\\\dfrac{2x^{\circ}}{2}&=\dfrac{180^{\circ}}{2}\\\\x^{\circ}&=90^{\circ}\\\\x&=90\end{aligned}\)

Therefore, the value of x is 90, which means that the two chords intersect at right angles.

Answer:

x=150

Step-by-step explanation:

x+30=180[co-interior angle]

x=180-30

x=150

The solution to the linear system is c = -6 and d = 3.

To solve the linear system using the elimination strategy, we can eliminate one variable by adding or subtracting the equations. Let's solve the first linear system:

(1) 12c + 28d = 12

(2) -20c + 16d = 168

To eliminate one variable, we can multiply equation (1) by 5 and equation (2) by 3, which will result in opposite coefficients for 'c'. This will allow us to eliminate 'c' when adding the equations together:

(1) 60c + 140d = 60

(2) -60c + 48d = 504

Now, we can add the equations:

(60c + 140d) + (-60c + 48d) = 60 + 504

188d = 564

d = 564/188

d = 3

Substituting the value of 'd' back into equation (1):

12c + 28(3) = 12

12c + 84 = 12

12c = 12 - 84

12c = -72

c = -72/12

c = -6

The solution to the linear system is c = -6 and d = 3.

Now let's analyze the second linear system:

(1) 7x - 3y = 43

(2) 7x - 3y = 13

By comparing the two equations, we can see that they have the same coefficients for both 'x' and 'y', and the constant terms on the right side are different. This means the lines represented by the equations are parallel and will never intersect.

The linear system has no solution.

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Each letter should be matched to its correct term as follows;

1. A ⇔ Efficiency.

2. B ⇔ Impossible.

3. C ⇔ Inefficiency.

In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;

Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;

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The equation of the line in the standard form exists 3x - y = 2.

The equation of a line is a representation of a line on an x-y plane that illustrates the relationship between x and y for each point on the specific line. When x and y are variables and a, b, and c are constants, a line has the standard form ax + by = c.

Y = mx + b is the slope-intercept form of a line, where x and y are variables, m is the line's slope, and b is the line's y-intercept.

The one-point formula reads: y - y₁ = m(x - x₁). to describe the equation of a line traveling through the point (x1, y1) and having a slope of m.

We are asked to graph a line with a slope = -3, passing through the point (1, -5).

We use the one-point formula to determine the equation of this line, with slope m = -3, (x₁, y₁) = (1, -5).

Substituting these values in the equation y - y₁ = m(x - x₁), we get

Let the equation be y - -5 = -3(x - 1)

simplifying the equation, we get

y = -3x + 3 - 5

y = -3x - 2

3x - y = 2

The equation of the line in the slope-intercept form exists y = -3x - 2

The equation of the line in the standard form exists 3x - y = 2.

We draw the locations (1,-5) (because it is obvious that the line goes through this location) and (0, 2) (since the y-intercept is at 2 and the line passes through the point (0, 2)) in order to graph this line. We draw a line connecting these places, then we expand it on both sides to create the necessary line.

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Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D

Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.

Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.

Therefore, the correct answer is D. parallelogram.

It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.

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Answer:

linear

Step-by-step explanation:

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c = 0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

Step-by-step explanation:

Parallel to the x-axis means it is just a horizontal line with the value being the y-coordinate of the point:

y = -2

Answer:

y=-2

and m=0 must be your answer

Step-by-step explanation:

as line is parallel to x axis its slope will be zero as it does not have any definite x coordinate

so

equation of line is y-y'=m(x-x')

so m=0 m is slope

y'=-2 and x'=4

so by substituting the values

y+2=0

so y=-2

and m=0 is your answer

Answer:

its A on edge 2021

Step-by-step explanation:

your welcome :)

Answer:

1 1/2

Step-by-step explanation:

4 can go into 6 1 time than 6-4 = 2 and 2/4 simplified is 1/2

(a) A continuous function defined on an open interval with a range equal to a closed interval is f(x) = 1/(x - 1) on the open interval (0,1), which has range [1, +∞),

(b) It is impossible for a continuous function defined on a closed interval to have a range equal to an open interval,

(c) An example of a continuous function defined on an open interval with a range equal to an unbounded closed set different from R is f(x) = tan(x) on the open interval (-π/2, π/2), which has range [-∞, +∞),

(d) It is impossible for a continuous function defined on all of R to have a range equal to Q, the set of rational numbers.

(a) One example of a continuous function defined on an open interval with a range equal to a closed interval is f(x) = 1/(x - 1) on the open interval (0,1), which has range [1, +∞).

(b) It is impossible for a continuous function defined on a closed interval to have a range equal to an open interval. This is a consequence of the intermediate value theorem, which states that a continuous function on an interval takes on every value between the values it takes on at the endpoints of the interval.

(c) One example of a continuous function defined on an open interval with range equal to an unbounded closed set different from R is f(x) = tan(x) on the open interval (-π/2, π/2), which has range [-∞, +∞).

(d) It is impossible for a continuous function defined on all of R to have a range equal to Q, the set of rational numbers. This is a consequence of the fact that the irrational numbers are dense in R, meaning that between any two distinct rational numbers, there exists an irrational number. Since a continuous function preserves the property of connectedness, the range of such a function must also be connected. However, Q is not connected, as it can be written as the union of two disjoint open sets, namely Q and its complement in R.

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49. \(x = \dfrac{1}{a}\) and \(y = 3\)

50. \(x = \dfrac{1}{2a}\) and \(y = \dfrac{1}{b}\)

Step-by-step explanation:

We are going to solve these systems of equations using the elimination method.

49. Given:

\(5ax + 4y = 17\) (1)

\(\:\:ax + 7y = 22\) (2)

Multiply Eqn(1) by 7 and multiply Eqn(2) by -4 to get

\(\:\:35ax + 28y = 119\)

\(-4ax - 28y = -88\)

Adding the two equations above, we get

\(31ax = 31 \Rightarrow x = \dfrac{1}{a}\)

Substituting this value for a into Eqn(2), we get

\(y = 3\)

50. Given:

\(4ax + \:\:by = 3\) (3)

\(6ax + 5by = 8\) (4)

Multiplying Eqn(3) by -5, we get

\(-20ax - 5by = -15\)

\(\:\:\:\:\:\:6ax + 5by = \:\:8\)

Adding the two equations above, we get

\(-14ax = -7 \Rightarrow x = \dfrac{1}{2a}\)

Plugging in the value of x into Eqn(3), we get the value for y as

\(4a(\frac{1}{2a}) + by = 3\)

or

\(2 + by = 3 \Rightarrow y = \dfrac{1}{b}\)

Answer: 2.789

Step-by-step explanation:

- When you round either you round down if less than 5 if greater round up

- first place after decimal point is tenth and second place is hundredth

Answer:

A. True

Step-by-step explanation:

This statement is True. An Identity is an equation that is true for all values (of x). An Equation is only true for certain values (of

Answer:

A true

i hop this helps

The publisher nedds to produce 2414 books and sell so that production cost will equal the money from sales.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

A small publishing company is planning to publish a new book.

The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing).

The one-time fixed costs will amount to $27,160.

The variable costs will be $8.75 per book.

The publisher will sell the finished product to bookstores at a price of $20.00 per book.

Let x be the number of books.

Cost = 8.75x + 27160

Revenue = 20x

Revenue = cost

20x = 8.75x + 27160

11.25x = 27160

x = 2414.2

x ≈ 2414 books.

Therefore, the required number of books are 2414 books.

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The needed number of days at 10 degrees is given as follows:

11 days.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

For this problem, we have that when x decreases by 5, y increases by 2, hence the slope m is given as follows:

m = -2/5

m = -0.4.

Hence the time needed for a temperature of 10 degrees is given as follows:

9 + 2 = 11 days.

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Answer:

\(1 < x < -1\)

Step-by-step explanation:

Given the inequality

\(|x| > 1\)

The modulus of x shows that x can be both positive and negative value.

If x is positive:

\(x > 1\)

\(1 < x\)

If x is negative:

\(-x > 1\)

Multiplying both sides of the inequality by minus will change the inequality sign

\(x < -1\)

Combining both inequalities:

\(1 < x < -1\)

Find the position on the number line in the attachment

Answer:

There was 32.5mm of rainfall on the seventh day.

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is the sum of all values of a data-set divided by the number of values in the data-set.

The mean daily rainfall for a week was 5.5mm.for the first six days the mean rainfall was 1mm.

This means that during the week(7 days), the total amount of rain was of:

\(6*1 + x = 6 + x\)

How much rainfall on the seventh day ​?

This is x. We have that:

\(\frac{6 + x}{7} = 5.5\)

\(6 + x = 7*5.5\)

\(6 + x = 38.5\)

\(x = 38.5 - 6 = 32.5\)

There was 32.5mm of rainfall on the seventh day.

Answer:

its 100 ez bro

Step-by-step explanation:

Answer: 100 balloons

Step-by-step explanation:

because it is 100 balloons

A square root function that is represented by the graph include the following: A. f(x) = √(4x + 8).

In Mathematics and Geometry, a square root function can be defined as a type of function that typically has this form f(x) = √x, which basically represent the parent square root function i.e f(x) = √x.

In Mathematics and Geometry, a horizontal translation to the left is modeled by this mathematical equation g(x) = f(x + N) while a vertical translation to the positive y-direction (downward) is modeled by this mathematical equation g(x) = f(x) - N.

Where:

Therefore, the required square root function is given by;

f(x) = √(4x + 8)

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Answer:

I think its C

Step-by-step explanation:

The value of the fraction, negative 5 and 1 over 7 ÷ negative 7 and 3 over 4 is 144/217

A fraction can be described as the part of a whole element or value.

The different types of fractions are;

Examples of proper fractions; 2/4, 5/6, 7/9

Examples of improper fractions; 4/2, 3/2, 6/5

Examples of mixed fractions; 2 1/4, 4 6/7, 8 1/2

Examples of simple fractions; 1/ 3, 3/4, 1/2

Now, from the information given, we have;

Convert into improper fractions

-36/7 ÷ -31/4

take inverse of the divisor and multiply

-36/ 7 × 4/-31

-144/-217

144/217

Hence, the value is 144/217

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Answer:

\(y = 2 + x\)

Step-by-step explanation:

x=0, y=2

x=1, y=3

x=2, y=4

x=3, y=5