–4(5x)
simplify .......

The truth values of a compound statement are displayed in a truth table for all feasible combinations of the truth values of its component propositions.

A truth table is a graph that shows the truth value of one or more compound propositions for any two compound propositions that can have the same truth value. It is used to judge whether a logical argument is sound. A truth table is made up of rows and columns, each row having the truth value of the compound proposition for the specified set of truth values, and each column containing the truth value of the individual proposition. The propositions that make up the compound proposition must first be identified, and all potential combinations of truth values for each of those propositions must then be listed in order to produce a truth table. The truth value of the compound proposition can then be calculated for each combination. Applying reasoning to the provided combination will do this. The truth value of the compound proposition will then be shown in the truth table for each combination of truth values. This can assist in determining the viability of a given logical argument.

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The answer is: a. It would converge to the shape of a normal distribution.

When you increase your sample size, more data points are included in the sample, resulting in a more accurate representation of the population. As a result, the distribution of the sample means will approach a normal distribution, known as the Central Limit Theorem. This means that the shape of the sampling distribution will become more symmetrical and bell-shaped as the sample size increases.

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Answer:

,bn ljb ib

Step-by-step explanation:

Answer:

m<G

Step-by-step explanation:

They are the same angle, hence they are congruent by the reflexive property. Moreover, they are both a part of the triangles; GHL and GJK, and therefore prove similarity.

$3.42

Take the original price and multiply by 1.14

Explanation: 1.14 comes from the whole (1) of the orange juice at the time plus the percent (14% ---> .14).

The terms in the given equations represent various physical quantities and processes related to the zonal and meridional motion of a fluid.

The term "rho1*∂y/∂p" represents the horizontal pressure gradient force in the meridional direction. It describes the change in pressure with respect to meridional distance and influences the fluid motion. The pressure gradient force acts perpendicular to the isobars (lines of constant pressure) and drives the fluid from regions of high pressure to low pressure.

The term "rho1" represents the density of the fluid, which determines its mass per unit volume. The density influences the magnitude of the pressure gradient force and is typically assumed to be constant in these equations.

The term "∂y/∂p" represents the derivative of meridional distance with respect to pressure. It quantifies the spatial variation of the meridional coordinate as pressure changes. A larger ∂y/∂p indicates a steeper meridional gradient and can result in stronger pressure gradient forces.

The combined term "rho1*∂y/∂p" captures the effect of the pressure gradient force in the meridional direction, driving fluid motion across lines of constant pressure.

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Answer:

  about 3.08 L

Step-by-step explanation:

You want the number of litres in the volume of a cylindrical can 14 cm in diameter and 20 cm high.

A litre is a cubic decimeter, 1000 cubic centimeters. As such, it is convenient to perform the volume calculation using the dimensions in decimeters:

The volume of the cylinder is given by the formula ...

  V = (π/4)d²h . . . . . . . where d is the diameter and h is the height

  V = (π/4)(1.4 dm)²(2.0 dm) ≈ 3.079 dm³ ≈ 3.08 L

The cylindrical can will hold about 3.08 litres.

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Answer: ≈ 26 lb

Step-by-step explanation:

11,800 grams x \(\frac{1 kilograms}{1000 grams}\) x \(\frac{1 pound}{0.45kilograms}\) ≈ 26 lb

Answer:

Step-by-step explanation:

a) 1/3 (p+q)

b) \(\sqrt{xy}\)

The missing word to complete the sentence is "division".The property of equality that says "For all Real numbers, a, b and c: if a = b, then a/c = b/c where c ≠ 0" is called the division property of equality.

The property of equality states that if we have two equal values on one side of the equation, we can do the same thing to both sides of the equation, and it will still hold true. Here are the four main answers to the properties of equality: Multiplication property of equalityAddition property of equalitySubtraction property of equalityDivision property of equalityThe Division Property of Equality is one of the four properties of equality.

The other three properties include the multiplication property of equality, addition property of equality, and subtraction property of equality. These properties are used to solve equations where we need to find the value of an unknown variable.In other words, if we have two equal numbers, and we divide them by the same number, then we will still have two equal numbers. This property is useful when we want to isolate a variable in an equation.For example, if we have the equation x + 4 = 12, we can use the division property of equality to isolate x by dividing both sides of the equation by 2.x + 4 = 122 - 4 = 8This means that x is equal to 8. We can check our answer by substituting it back into the equation.

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The street dance group performed a total of 4.5 hours for 8 days during the summer.

From the given image, on the first two days which are Day-1 and Day-2 they performed for 1/4 hour which is  0.25 hours on each day. The next 3 days which are day-3, day-4, and day-5 they performed for 2/4 hour which is 0.5 hour on each day. For the next 2 days which is day-6 and day-7, they performed for 3/4 hours which is 0.75 hours for each day. On the final day which is day-8, they performed for 1 hour.

To find mathematically, the total hours they performed in 8 days is

Total hours = (2 x 0.25) + (3 x 0.5) + (2 x 0.75) + 1 (1)

                   = 0.5 + 1.5 + 1.5 + 1

                   = 4.5 hours

From the above analysis, we can conclude that the dance group performed for a total of 4.5 hours for 8 days.  

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The probability that it will not be orange is 0.9

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how probably an event is to do, or how likely it's that a proposition is true.

given:

There are:

5 pink marbles

9 green marbles,

13 blue marbles, and

3 orange marbles.

There is a total of 30 marbles in the jar.

Step 1. Take 1 marble from the jar.

Step 2. Probability that it is orange, = P(orange) = ( 3/30 ) = ( 1/10 ) = 0.10 = 10%

Step 3. Probability that the chosen marble is not orange, = ( 1 - Probability that the chosen marble IS orange) = ( 1 - 0.1 ) = 0.9 = 90%.

hence , the probability that it will not be orange is 0.9

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From the given expression, 3/4(8x+12)+x-5, the simplified expression is 7x + 4.

From the question, we are to simplify the given expression.

To simplify the expression 3/4(8x+12)+x-5, we can follow the order of operations, which is commonly remembered using the acronym PEMDAS:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Using PEMDAS, we can simplify the expression as

3/4(8x+12)+x-5

Distributing 3/4 to the terms inside the parentheses

= 3/4 * 8x + 3/4 * 12 + x - 5

Simplifying the multiplication

= 6x + 9 + x - 5

Combining like terms

= 7x + 4

Hence, the simplified expression is 7x + 4.

Here is the complete question:

Simplify 3/4(8x+12)+x-5

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Answer:

f(5) = 2

f'(5) = \(\frac{1}{5}\)

Step-by-step explanation:

Tangent line to a function y = f(x) on a point (5, 2) passes through two points (5, 2) and (0, 1)

Let the equation of the line is,

y - y' = m(x - x')

Slope of a line passing through \((x_1,y_1)\) and \((x_2,y_2)\) = \(\frac{y_2-y_1}{x_2-x_1}\)

                                                                                   = \(\frac{2-1}{5-0}\)

                                                                                   = \(\frac{1}{5}\)

Therefore, equation of the line passing through (0, 1) and slope = \(\frac{1}{5}\) will be,

y - 1 = \(\frac{1}{5}(x-0)\)

y = \(\frac{x}{5}+1\)

Function representing equation will be,

f(x) = \(\frac{x}{5}+1\)

At x = 5,

f(5) = \(\frac{5}{5}+1\)

     = 1 + 1

     = 2

f(5) = 2

f'(x) = \(\frac{d}{dx}(\frac{x}{5}+1)\)

       = \(\frac{1}{5}\)

Therefore, f'(5) = \(\frac{1}{5}\) will be the answer.

Answer:

y = (9/2)x + 26.5

Step-by-step explanation:

Lets rewrote the equation in standard format of y = mx + b, where m is the slope and b is the y-intercept.

-2x-9y = 1

-9y = 2x + 1

y = -(2/9)x - (1/9)

The slope of this line is -(2/9)

A line that is perpendicular to this line will have a slope that is the negative inverse of -(2/9).  That would be (9/2).  So a perpendicular line will have the form of y = (9/2)x + b.  Any value of b can be chosen and the lines will still be perpendicular to each other.  However, we want to find a value of b that will force the line through point (-7,-5).  This is done by using the point in the above equation and solving for b:

y = (9/2)x + b

-5 = (9/2)(-7) + b  for point (-7,-5)

-5 = -(63/2) + b

b = -5 + (63/2)

b = -5 + 31.5

b = 26.5

The equation is y = (9/2)x + 26.5

See the attached graph.

Answer:

(4, –1, 3)

What is the solution to the following system? (3, –1, 4) (4, 1, 3) (4, –1, 3) (3, 1, 4

Answer:

(4, –1, 3)

Step-by-step explanation:

Answer:

$12 a week

Step-by-step explanation:

If he gets paid $168 for 14 weeks, to find 1 week's worth, divide 168 by 14 to get 12.

Answer:

Don't hate math because math is very important in our lives

The correct answer for the next step when bisecting line segment AB using a string is C. Set the string length at point A and at the top of the arc. Optio C

When bisecting a line segment using a string, the method involves creating congruent arcs on either side of the line segment. This is done by fixing the length of the string and using it as a compass to draw arcs. The goal is to find the point that lies on the perpendicular bisector of the line segment AB.

To achieve this, the steps would be as follows:

Place the string's endpoint at point A, and use the other endpoint to draw an arc that intersects line segment AB on both sides.

Without changing the length of the string, move the endpoint to the top of the arc (the point where it intersects the circumference). This ensures that the length of the string remains constant.

With the endpoint at the top of the arc, draw another arc intersecting the previous arc on both sides.

By following this procedure, the two arcs will intersect at two points. The perpendicular bisector of line segment AB passes through these points, effectively bisecting the line segment.

Therefore, option C, is correct.

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EXPLANATION

Given the polynomials in the problem, we can assevere that:

Formula of Perfect Square Trinomial:

(a+b)^2 = a^2 + 2ab + b^2

Difference of Squares formula:

(a^2 - b^2)

Now, we need to find what formula match better.

y^2 + 12y - 36 -----> Neither

Answer:

The graph would be similar to a Sin or Cos graph with a vertical shift. As the music gets louder the graph will go up and as the music and crowd become quieter, the graph will go down. Going up and down until the end of the concert where it will be 0.

Step-by-step explanation:

This is because the concert music would be loud, causing the sound on the graph to have a steady line.

Hope this helped! :)

Answer:

(-2,-1)

Step-by-step explanation:

Midpoints are found when you do ([x(subscript A) + x(subscript B)]/2, [y(subscript A) + y(subscript B)]. Therefore your equation (for x of B) should look like this:

-4 = ([-6+x]/2)

After you solve for x, you should have gotten -2 for x.

Then you do the same for y:

2 = ([5+y]/2)

You should get -1. Your final answer should be (-2, -1)

Answer:

37.15 pounds left

Step-by-step explanation:

Add the two pound values

1.3+1.75= 3.05

Subtract it from the total number of pounds in the bag

40.2-3.05

=37.15

Answer:Im pretty sure it's 25% percent loss

Step-by-step explanation:

sorry if im wrong

The length of h, given the length of the sides of the triangle, and the angle, is C. 24. 6 Inches.

We can find the value of h by using the cosine rule which is:

c² = a² + b² − 2ab cos C

One can apply the Law of Cosines to determine any unknown variables involving the sides or angles within a triangle, given that there are at least two known measurements available. This method proves especially advantageous when dealing with triangles whose angle measures differ from being 90 degrees.

We can use it to find h to be :

h² = 84² + 82² − 2 x 84 x 82 x cos 17°

h = 24.6 inches

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Step-by-step explanation:

\( = 0,43\)

\( = \frac{0,43}{1} \)

\( = \frac{0,43}{1} \times \frac{100}{100} \)

\( = \frac{43}{100} \)

Answer:

6x

Step-by-step explanation:

\(\sqrt{4x^2}\) = \(\sqrt{4}\) × \(\sqrt{x^2}\) = 2 × x = 2x

Then

3\(\sqrt{4x^2}\)

= 3 × 2x

= 6x