Prove the following sequent. You may use TI and SI if you wish, though you may only use those sequents on the "Sequents for TI and SI" list provided in Canvas. Feel free to have the list open while working on this PL-Q & R) 4F (P --v (PR) [Notice the 't ] special characters: & V → 4 - 3 (a) P- (Q&R) FP --Q) v (P-R) (1) (2) (b) (P-1) ( PR) FP --(Q&R) (1) (2)

Answer: GCF is 4

Step-by-step explanation:

Factors of 4: 1, 2, 4

Factors of 12: 1, 2, 4, 6, 12

Answer:

they are the exact oposite of eachother

Step-by-step explanation:

for example : (8,-4) and (-8,4)

a) With V=0 at infinity, what is the electric potential at corner A  is -5.07 μC and corner B is = +2.48 μC.

b) The amount of work is required to move a charge from B to A along a diagonal of the rectangle is -2.59 μC.

c) Yes, this work increase the electric potential energy of the three-charge system inside the rectangle but not on a diagonal and outside the rectangle.

The electric potential at a point in a rectangle can be calculated using the electric potential equation. In the given figure, we have a rectangle with sides of length 4.34 cm and 18.5 cm, with charges q1 = -5.07 μC and q2 = +2.48 μC.

=> -5.07 + 2.48 = -2.59

To find the electric potential at corner A and corner B, we must first calculate the electric field from the two charges.

If V=0 at infinity, then the electric potential at corner A and corner B can be calculated using the electric potential equation given by V = ∫E⋅dr.

The amount of work required to move the same charge q3 from point B to point A along a path that is inside the rectangle but not on a diagonal and outside the rectangle will be different.

This is because the path of the charge will determine the electric field and electric potential at each point.

If the path is longer and passes through areas of higher electric potential, then more work will be required to move the charge

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A point that satisfies the inequality y < -1/3x + 3 is (0, 3) or (9, 0).

In Mathematics, an inequality simply refers to a mathematical relation that can be used to compare two (2) or more numerical values, numbers, and variables in an algebraic equation, especially based on any of the following inequality symbols:

Next, we would use an online graphing calculator to plot (graph) the given inequality (y < -1/3 x + 3) in order to determine the point that satisfies it, which is the ordered pair (0, 3) or (9, 0).

y < -1/3 x + 3

3 < -1/3 (0) + 3

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Complete Question:

What point satisfies the inequality y < -1/3x + 3?

the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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Answer:

20700

Step-by-step explanation:

3 times 3 times 2300 = 20700

The method of data analysis depends on the research objectives.

The chosen analytical techniques and approaches for data analysis should align with the specific goals and objectives of the research study.

Different research objectives may require different data analysis methods. For example, if the objective is to identify patterns or themes in qualitative data, methods such as thematic analysis or content analysis may be appropriate. On the other hand, if the objective is to determine the relationship between variables, quantitative analysis techniques like regression analysis or hypothesis testing may be used.

Therefore, the most crucial factor in determining the method of data analysis is the research objectives.

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Answer: (-6,-9)

Step-by-step explanation: you probably don't wanna read this but in case someone asks you about it- first start by putting the first equation into graphing form, turning it into 2y=-3x+12.

then you can go ahead and multiply the second equation by two to get 2(y=1/2x-6), which is 2y=x-12.

next, just subtraction! 2y=-3x+12 minus 2y=x-12!

You get -4x=24, which leaves you to divide both sides by -4 to get x=-6!

now to put in x for the solution, you take a equation(either one) and put in x

[y=1/2(-6)-6]

[y=-3-6]

[y=-9]

so your points are (-6,-9)

The correct answer is A. When events A and B are independent, it means that the occurrence of one event does not affect the probability of the other event occurring.

In other words, the probability of A occurring does not depend on whether B occurs or not, and vice versa.

To find the probability of both A and B occurring, we need to use the multiplication rule of probability. The multiplication rule states that the probability of two independent events occurring together is equal to the product of their individual probabilities. That is, P(A and B) = P(A) × P(B).

For example, if the probability of event A occurring is 0.3 and the probability of event B occurring is 0.4, then the probability of both events occurring together is:

P(A and B) = P(A) × P(B) = 0.3 × 0.4 = 0.12

Therefore, to find the probability of event A AND B when events A and B are independent, we simply multiply the probability of A by the probability of B.

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The value of c in the perfect square trinomial x^2 + 10x + c can be determined by examining the entries in the 6-column table.

In the given table, the first column represents \(x^2\) and has entries x, x, x, x, x. The second column represents x and has missing entries, which we need to determine. The third, fourth, fifth, and sixth columns also have missing entries.

To find the value of c in the perfect square trinomial \(x^2\) + 10x + c, we need to complete the table and observe the entries in the second column. Since the first column represents \(x^2\), we can see that each entry is \(x^2\). Thus, the missing entries in the second column are x, x, x, x, x, respectively.

The perfect square trinomial \(x^2\) + 10x + c can be factored as \((x + 5)^2\), which expands to \(x^2\) + 10x + 25. Comparing this with the given expression, we can conclude that c = 25.

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Answer:

Circle A or +2

Step-by-step explanation:

Step 1. Cross Multiply

This gets you -15 * -2 and -16 * -1

Step 2. Simplify

This gets you 30/16 which converts to 15/8 or 1 7/8

Step 3. Round your answer to the nearest whole number

This would result you with positive 2

Step 4. CIRCLE A :)

Answer:

Option B

Step-by-step explanation:

Laws of indices:

1. \(a^{n}\) = \(\frac{1}{a^{-n}}\)  OR  \(a^{-n}\) = \(\frac{1}{a^{n}}\)

2. \(a^{n}\) × \(a^{m}\) = \(a^{n + m}\)

3. \(\frac{a^{n}}{a^{m}}\) = \(a^{n-m}\)

\(\frac{6}{3}\) × \(\frac{x^{2}}{x^{6}}\)

Method 1:

= \(2\) × \(\frac{1}{x^{6}.x^{-2}}\)

= \(\frac{2}{x^{6+(-2)}}\)

=\(\frac{2}{x^{6-2}}\)

= \(\frac{2}{x^{4}}\)

Method 2:

= \(2\) × \(x^{2-6}\)

= \(2\) \(x^{-4}\)

= \(\frac{2}{x^{4}}\)

∴Option B

Answer:

A

Step-by-step explanation:

Answer:

12x=25

Step-by-step explanation:

Answer:

11/12

Step-by-step explanation:

The product of One-fourth times three and two-thirds will be 1 / 2.

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

Given that, the numbers are one-fourth times three and two-thirds. The product of the numbers will be calculated as,

Product =  ( 1 / 4 ) x ( 3 ) x ( 2 / 3 )

Product = 6 / 12

Product = 1 / 2

Therefore, the product of One-fourth times three and two-thirds will be 1 / 2.

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The four step to graphing the linear inequalities are: Always begin by separating the variable y from the inequality's left side, Replace the inequality symbol with the equality symbol, In XY plane, graph the boundary line from step 2, The final step is to shade a portion or one side of the border line.

In the given question we have to explain the 4 steps in graphing linear inequalities.

Step 1: Always begin by separating the variable y from the inequality's left side.

Step 2: Replace the inequality symbol with the equality symbol.

Step 3: In XY plane, graph the boundary line from step 2.

Step 4: The final step is to shade a portion or one side of the border line.

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The solution of the given system of equations by substitution is (-2, -3).

Given a system of equations,

9y - 7x = -13 [Equation 1]

-9x + y = 15 [Equation 2]

We have to find the solution of the given system of equations.

From [Equation 2],

y = 15 + 9x [Equation 3]

Substitute [Equation 3] in [Equation 1].

9 (15 + 9x) - 7x = -13

135 + 81x - 7x = -13

74x = -148

x = -2

y = 15 + (-18) = -3

Hence the solution of the given system of equations is (-2, -3).

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Answer:

This statement is false.

Sampling error is the difference between the statistic (such as the sample mean) and the population parameter.

The z-value is a measure of how many standard deviations a given data point or statistic is from the mean, and is not directly related to sampling error.

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Answer: 1/5 * 1/4 = a

Step-by-step explanation: Ok, so 5/5 = 1 whole. So that is the reason why the square is divided into 20 small squares. Dividing fractions is the same as multiplying by its recriplical. Ex. 2 divided by 1/4. First we would do 2/1 divided by 1/4, since a whole can be put on top of 1. So in your case that would be 4/1. Then we do 2/1 * 4/1. As you can see 1/4 is flipped because dividing is the same as multiplying by the reciprocal. So in your case that would be 1/5 * 1/4 = a

Answer:

2/5

Step-by-step explanation:

2/10+2/10=4/10

4/10 divided by 2/2= 2/5

Hope this helps!

Answer;

2/10 + 2/10 is 4/10 and then simplified it would be 2/5 because 2 goes into both 4 and 10.

2/10 + 2/10 = 4/10

4/10 = 2/5

Hope this Helps!

Since both of the flower will be y = 1 at x = 0, yes, the flowers will be the same​ height at x = 0. And (0,1) is the solution to the system of equation

To know the solution of a system of equation, the two equation can be solved simultaneously.

Given the 2 equations y = 1.5x + 1 and y = 1.2x + 1

Equate the two equations to get x

1.5x + 1 = 1.2x + 1

collect the like terms

1.5x - 1.2x = 1 - 1

0.3x = 0

x = 0

Substitute x in any of the equation.

y = 1.5(0) + 1

y = 1

Yes! The flower will be of the same height at x = 0.

Therefore, (0,1) is the solution to the system of equation. And the flower will be of the same height at x = 0.

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No, when finding the upper and lower quartiles, the median is not included in the calculations.

When finding the upper and lower quartiles of a data set, the median (or second quartile) is not included in the calculations. The quartiles divide the data set into four equal parts, with the median representing the second quartile.

To find the lower quartile (Q1), one needs to determine the median of the lower half of the data set, excluding the median itself. This includes the data points below the median.

Similarly, to find the upper quartile (Q3), the median of the upper half of the data set is determined, excluding the median. This includes the data points above the median.

The inclusion of the median in the calculation of quartiles can cause confusion, but it is important to note that the median is separate and distinct from the quartiles.

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Answer:

$216

Step-by-step explanation:

324 / 18 = 18. (Meaning she makes 18 dollars an hour)

18 * 12 = 216

Answer:$216

Step-by-step explanation: Rate per hour is 324/18=18

12hours =18×12

you've forgotten the picture :)

The values of a, b, c and d are -5, -1, 3 and 5.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is y=2x+1

Substitute (-3, a) in y=2x+1, we get

a=2(-3)+1

a=-6+1

a=-5

Substitute (-1, b) in y=2x+1, we get

b=2(-1)+1

b=-1

Substitute (1, c) in y=2x+1, we get

c=2(1)+1

c=3

Substitute (2, d) in y=2x+1, we get

d=2(2)+1

d=5

Therefore, the values of a, b, c and d are -5, -1, 3 and 5.

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"Your question is incomplete, probably the complete question/missing part is:"

Use the table to work out the values a, b, c and d.

      x        y=2x+1

     -3           a

     -2           -3

      -1           b

       0            1

       1            c

       2            d

The question is unclear but I will assume they mean 1/4 and 3 1/2.

Find common denominators.

1/4

3 1/2 -> 3 2/4

Turn into an improper fraction.

3 2/4 -> 14/4

Divide.

14/4 / 1/4

14/4 * 4/1

56/4

14

So, they can make 14 ornaments.

Best of Luck!

The sum of the measures of the interior angles of a polygon with n sides can be found using the formula (n-2) * 180 degrees.

For a 10-sided figure, we have (10-2) * 180 = 8 * 180 = 1,440 degrees.

Therefore, the sum of the measures of the interior angles of a 10-sided figure is 1,440°.

The answer is A.

Answer:

-1/4

Explanation:

To write the decimal -0.25 as a fraction we need to multiply and divide by 100 as follows:

We multiply by 100 because there are 2 digits after the decimal point.

Then, we need to simplify the fraction, so we can divide the numerator and the denominator by 25 as:

So, the fraction in its simplest form is -1/4