HELP ME OUT QUICK THANK YOU !What is -78.6 (-2.4)?
A. -188.64
B. -32.75
C. 32.75
D. 188.64

Answer: T = -1

Step-by-step explanation:

**Disclaimer** I assume that the [T] is a variable. If it was, then you may refer to my answer. If it was not, then you may point it out and I'll redo it.

Given

3T - 2 + T - 5T = -1

Combine like terms

-T - 2 = -1

Add 2 on both sides

-T - 2 + 2 = -1 + 2

-T = 1

Divide -1 on both sides

-T / (-1) = 1 / (-1)

T = -1

Hope this helps!! :)

Please let me know if you have any questions

Example of an undecidable problem is given by the problems in the system created by computer viruses.

According to the computability theory, the problems that needs either yes or no answer, but it is not possible by any computer programming languages to create exact answer then this computational problem is termed as undecidable problems.

A decidable problem is a decision problem in the computer system that can be solved by an algorithm correctly.

whenever we find a problem for which there is no algorithm available for solve and we are also unable to create any program that can solve the problem exactly in finite time are declared as undecidable problems.

If we find a problem that ask yes or no question about some input and there is programming language available for responding correctly then this particular problem is declared as decidable.

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We have to find the total distance the pendulum has swung after 11 swings. Let's determine the length of the arc on the 2nd, 3rd, 4th, 5th, 6th, 7th, 8th, 9th, 10th, and 11th swings.

The pendulum swings back and forth so each swing has two arcs. Thus, the total distance the pendulum swings in 1 swing = 2 × length of arc. The total distance the pendulum swings in 1st swing = 2 × 20 = 40 inches.

The total distance the pendulum has swung after 11 swings . Inches or 222 inches (rounded to the nearest inch).Therefore, the approximate total distance the pendulum has swung after 11 swings is 222 inches.

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Answer:

0.2248307402

Step-by-step explanation:

Let 'success', p = 0.16,

and 'failure', q = 1 - 0.16 = 0.84

and the number of trials, n = 7

r = 2

\(P(X = r) = \binom{n}{r} {p}^{r} {q}^{n - r} \\ P(X = 2) = \binom{7}{2} {(0.16)}^{2} {0.84}^{5 - 2} \\ = 0.2248307402\)

False. The Six Sigma DMAIC approach is a problem-solving methodology used to improve processes and reduce defects, but it is not the only tool available.

Sigma is a statistical measure of dispersion, which is used to measure the variability or spread of a given data set. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean. Sigma is commonly used in data analysis and is used to identify outliers and other patterns in data sets.

Depending on the nature of the problem, other problem-solving techniques may be more appropriate. For example, if the goal is to improve customer service, a method such as Lean Six Sigma, which focuses on customer value, may be more effective. Similarly, if the goal is to create new products or services, a design thinking approach could be used. In any case, it is important to assess the situation and choose the best course of action for the specific problem.

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A null space calculator finds the null space of a matrix used in linear algebra.

An invalid space mini-computer is a web-based instrument used to track down the invalid space, otherwise called the portion, of a framework. The invalid space of a framework is the arrangement of all vectors that fulfill the condition Ax= 0, where An is the lattice and x is the vector of questions. The invalid space can be utilized to decide if an arrangement of straight conditions is steady or not, and to find the reason for the arrangement space. An internet based invalid space number cruncher permits clients to enter a network and get the invalid space, as well as different properties like the position, determinant, and eigenvalues of the framework. This can be helpful for understudies and experts in fields like science, physical science, and designing who need to address frameworks of straight conditions and dissect the properties of networks.

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Answer

Let her kids play in the poop and splash out 10 gallons or Drain 10 gallons of water from the pool.

Hope this helped!!

Step-by-step explanation:

Answer:

x=32°.

Step-by-step explanation:

Exterior angle add up to 360°

85°+71°+2x°+3x°+44°=360°

=2x°+3x°+200°=360°

=5x°=360°-200°

=5x°=160°

=5x/5=160/5

x =32°.

hypotenuse of a right triangle is always the side opposite the right angle.

In geometry, a right triangle is a type of triangle that contains one angle measuring 90 degrees, known as the right angle. Right triangles have several distinguishing properties, and one of the fundamental concepts associated with them is the identification of the sides relative to the right angle. In this detailed explanation, we will explore the term that describes the specific side of a right triangle that is always opposite the right angle.

In a right triangle, there are three sides: the hypotenuse, the adjacent side, and the opposite side. The hypotenuse is the side opposite the right angle and is the longest side of the triangle. The adjacent side is the side that forms the right angle with the hypotenuse, while the opposite side is the side that is opposite the right angle. The term that refers to the side of a right triangle that is always opposite the right angle is the "hypotenuse."

To better understand the concept, let's consider the Pythagorean theorem, which is a fundamental relationship in right triangles. The Pythagorean theorem states that in any right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Mathematically, it can be expressed as:

\(c^2 = a^2 + b^2\)

In this equation, "c" represents the length of the hypotenuse, while "a" and "b" represent the lengths of the other two sides (adjacent and opposite). By rearranging the equation, we can solve for the hypotenuse (c):

\(c = \sqrt(a^2 + b^2)\)

From this equation, we can see that the hypotenuse is determined by the lengths of the other two sides of the right triangle. The relationship expressed by the Pythagorean theorem highlights the importance of the hypotenuse in determining the overall shape and size of the right triangle.

Furthermore, the hypotenuse is significant because it provides the longest side of the right triangle. Its length directly influences the triangle's shape and can be used to calculate various properties, such as the triangle's area or the lengths of the other sides.

In trigonometry, the hypotenuse is also crucial for defining trigonometric ratios, such as sine, cosine, and tangent, which are used to establish relationships between the sides and angles of a right triangle.

In conclusion, the side of a right triangle that is always opposite the right angle is called the "hypotenuse." It is the longest side of the triangle and is directly related to the lengths of the other two sides through the Pythagorean theorem. Understanding the concept of the hypotenuse is essential for working with right triangles, as it plays a fundamental role in determining the triangle's properties, shape, and trigonometric relationships.

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Answer:

25

Explanation:

By Using Pythagoras Theorem,

h^2=p^2+b^2

or, x^2=(24)^2+7^2

or, x^2=576+49

or, x^2=625

or, x=√625

•°• x=25

(a) To compute the cumulative distribution function (CDF) of W, denoted as FW(w), we integrate the joint probability density function (PDF) over the appropriate region. The region is defined by the inequalities x ≥ 0, y ≥ 0, and 2x + 3y ≤ 6. The CDF is given by: FW(w) = P(W ≤ w) = ∫∫[fX,Y(x, y)] dy dx

To find the PDF fw(w), we differentiate FW(w) with respect to w.

(b) To compute E[W], we integrate the product of w and the PDF fw(w) over the range of W. The variance V ar[W] is calculated by finding E[W^2] and subtracting (E[W])^2.

(c) To find the minimum and maximum values of Z, we need to determine the range of Y - X. We consider the range of x and y that satisfy the given conditions. By substituting the limits of x and y, we can calculate the minimum and maximum values of Z.

(d) The cumulative distribution function FZ(z) can be written as a double integral over the joint PDF fX,Y(x, y). We consider two cases: w ≥ 0 and w < 0. For each case, we determine the appropriate region and integrate the PDF accordingly.

(e) To find the PDF fZ(z), we differentiate FZ(z) with respect to z.

(f) To calculate E[Z], we integrate the product of z and the PDF fZ(z) over the range of Z. The variance V ar[Z] is computed by finding E[Z^2] and subtracting (E[Z])^2.

Please note that without the specific range or shape of the region defined by the inequalities, it is not possible to provide detailed numerical calculations for each part.

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Answer:

C

Step-by-step explanation:

Given the triangles are congruent then corresponding angles are congruent.

The angle corresponding to K in the other Δ is P, they are in the same position Δ APR and Δ WKM

∠ P is congruent to ∠ K

The distance Jeremy will need to travel between Point C and Point A 19.69 miles.

We have given that,

Jeremy drew out the route he will hike over a 3-day period on the coordinate grid below.

He will hike from Point A to Point B and from Point B to Point C on the first two days.

On day 3, he will hike directly from Point C to Point A.

We have to determine the distance Jeremy will need to travel between Point C and Point A.

\(d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\)

d = distance

(x_1, y_1) = coordinates of the first point

(x_2, y_2) = coordinates of the second point

(4,9)=(x_1,y_1)

(-4,-9)=(x_2,y_2)

\(d = \sqrt{(-4 - 4)^2 + (-9-9)^2}\\d=\sqrt{(8)^2+(18)^2} \\d=2\sqrt{97}\\ d=19.69\)

Therefore, The distance Jeremy will need to travel between Point C and Point A 19.69 miles.

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A positive δS and a negative δH indicate a spontaneous reaction.

The signs of δs and δh are related to the spontaneity of a reaction through the Gibbs free energy equation:

ΔG = ΔH - TΔS

where ΔG is the change in Gibbs free energy, ΔH is the change in enthalpy, T is the temperature in Kelvin, and ΔS is the change in entropy.

For a spontaneous reaction, ΔG must be negative. The sign of ΔG depends on the signs of ΔH and ΔS and the temperature. Specifically, if ΔH is negative (exothermic reaction) and ΔS is positive (increase in disorder), then ΔG will be negative and the reaction will be spontaneous at all temperatures.

If δs is positive and δh is negative, then ΔS is positive and ΔH is negative. This satisfies the conditions for a spontaneous reaction, and therefore the reaction will be spontaneous at all temperatures.

In summary, a positive δS and a negative δH indicate a spontaneous reaction.

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Answer:

Step-by-step explanation:

\(90 \% \text{ of }600=\frac{90}{100}\times600\)

                  \(=90 \times 6\)

                  \(=540\)

So 540 students passed the exam.

Answer:

30 minutes

Step-by-step explanation:

Answer:

21.25

Step-by-step explanation:

the tax on $95 is 21.25

Answer:

If a and b are either both positive integers or both negative integers

Step-by-step explanation:

If a and b are both positive integers (a>0 and b>0), then the product will obviously be a positive number. Additionally, if both terms are negative (a<0 and b<0), the product of two negative integers is positive and will satisfy the condition.

Integers are numbers without decimal points.

The conditions that would make \(\mathbf{a \times b > 0}\) are: a, b > 0 or a, b < 0

From the question, we have:

\(\mathbf{a \times b > 0}\)

Divide both sides by a

\(\mathbf{b > 0}\)

Divide both sides by b

\(\mathbf{a > 0}\)

The above means that, for \(\mathbf{a \times b > 0}\) to be true, then \(\mathbf{a > 0}\) and \(\mathbf{b > 0}\)

Another possible condition is that:

\(\mathbf{a \times b > 0}\)

Divide both sides by -a

\(\mathbf{b<0}\)

Divide both sides by -b

\(\mathbf{a<0}\)

The above means that, for \(\mathbf{a \times b > 0}\) to be true, then \(\mathbf{a<0}\) and \(\mathbf{b<0}\)

Hence, the condition that would make \(\mathbf{a \times b > 0}\) true is that: a and b have the same sign

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Answer:

(a) \(x=\frac{19}{4}=4.75\)

(b) \(x=-\frac{1+\sqrt{193}}{6}\approx-2.4821, x=-\frac{1-\sqrt{193}}{6}\approx2.1487\)

Step-by-step explanation:

The detailed explanation is shown in the attached documents below.

Answer:

A

Step-by-step explanation:

Answer:

8 of each

Step-by-step explanation:

Answer:

50 times

Step-by-step explanation:

You are going to flip a coin 100 times. There are 2 sides. So, what you would do is divide 100 by two because there are two sides. There is a 50% chance that the coin will land on heads, and a 50% chance it will land on tails.

Please let me know if you have any more questions. Hope this helps!

The distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

We can use the distance formula to find the distance between two points in a coordinate plane. The distance formula is:

d = √((x2 - x1)² + (y2 - y1)²)

where (x1, y1) and (x2, y2) are the coordinates of the two points. Substituting the coordinates of M(6, 16) and Z(-1, 14), we get:

d = √((-1 - 6)² + (14 - 16)²) = √(49 + 4) = √53 ≈ 7.1

Therefore, the distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

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A polynomial expression is a mathematical expression consisting of constants and variables, combined with the operations of addition and multiplication.

A polynomial expression is of the form:-

\(ax^{2}+bx+c\)

Here, it consists of variable x, constants a, b and c and operations + and *.

Hence, it is a polynomial expression.

This particular polynomial expression is a quadratic expression.

Other examples of polynomial expressions are :-

5x + 3, \(4x^{3}+3x^{2}}+2x+1\) ,2x + 3y = 4 and so on.

A general polynomial expression can be written as:-

\(a_{n}x^{n}+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ......+ a_{1}x^{1}+a_{0}\)

It has (n + 1) terms, with variable x,  (n + 1) constants and operations + and *.

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According to the following table, the same constant of proportionality between yyy and xxx in the relation y=8x is.

The proportionality constant k is defined as k=y/x when y and x are two numbers that are directly proportional to one another. If you are aware of the proportionality constant, you can use the equation y=kx, where k is the proportionality constant you are interested in, to determine the direct link between x and y. As an example, we may write y = kx, where k is the proportionality constant, x is the quantity of gas in gallons, and y is the cost in dollars. In other words, the cost is directly related to the number of gallons pumped.

By calculating

32=4*8

56=7*8

64=8*8

Therefore, y=8x.

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Explanation

Step 1

remember some properties of the potentiation

then

Now we have

Step 2

using some properties of ln

I hope this helps you

The growth rate of the function f(x) = [15/(1+4\(e^{(-0.2x)\))] is always increasing over its entire domain, which is the set of all real numbers (-∞, +∞).

To determine the interval over which the growth rate of the function is increasing, we need to find the derivative of the function and analyze its sign.

Let's differentiate the function f(x) with respect to x:

f'(x) = d/dx [15/(1+4\(e^{(-0.2x)\))]

To simplify the process, we can rewrite the function as follows:

f(x) = 15(1+4\(e^{(-0.2x)\))⁻¹

Using the chain rule, we can differentiate f(x):

f'(x) = -15(1+4\(e^{(-0.2x)\))⁻² × d/dx (1+4\(e^{(-0.2x)\))

Now, let's compute the derivative of the term d/dx (1+4\(e^{(-0.2x)\)):

d/dx (1+4\(e^{(-0.2x)\)) = \(4(-0.2)e^{(-0.2x)\) = \(-0.8e^{(-0.2x)\)

Plugging this back into f'(x), we have:

f'(x) = -15(1+4\(e^{(-0.2x)\))⁻² × \(-0.8e^{(-0.2x)\)

Simplifying further:

f'(x) = 12\(e^{(-0.2x)\) / \((1+4e^{(-0.2x)})^2\)

To find the interval where the growth rate of the function is increasing, we need to analyze the sign of f'(x).

Since the denominator  \((1+4e^{(-0.2x)})^2\) is always positive, we can focus on the numerator, 12\(e^{(-0.2x)\).

For the numerator to be positive, \(e^{(-0.2x)\) must be positive. Since the exponential function \(e^x\) is always positive, \(e^{(-0.2x)\) is also positive for all values of x.

Therefore, the growth rate of the function f(x) = [15/(1+4\(e^{(-0.2x)\))] is always increasing over its entire domain, which is the set of all real numbers (-∞, +∞).

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Answer:

QRU and VUR

Step-by-step explanation:

Alternative interior angles are angles that have the same degrees, but different locations. In this case, you can see QRU has the same degree of angle as VUR; They are only in different locations.

- Hope that helps! Please let me know if you need further explanation.

Answer:

QRU and VUR

Step-by-step explanation:

Hope this helps!

a) The Selling price at a markup of $4.35 on the bag of corn chips is $6.25 b) The Net profit a markup of $4.35 on the bag of corn chips is $3.10 c) The cost at a markup of $4.35 on the bag of corn chips is $1.90.

We can use the following equations to solve for the selling price, net profit, and cost of the corn chips:

(a) Selling price = cost + markup

(b) Net profit = selling price - cost - overhead

(c) Overhead = overhead percent x selling price

Given that the overhead is $1.25 and the overhead percent is 20%, we can calculate the selling price as follows:

Now that we know the selling price, we can use equation (a) to calculate the cost:

(a) Selling price = cost + markup

$6.25 = cost + $4.35

Cost = $6.25 - $4.35

Cost = $1.90

(b) Net profit = selling price - cost - overhead

Net profit = $6.25 - $1.90 - $1.25

Net profit = $3.10

(c) Overhead = overhead percent x selling price

$1.25 = 0.2 x selling price

Selling price = $1.25 / 0.2

Selling price = $6.25

Therefore, the selling price of the corn chips is $6.25, the net profit per bag is $3.10, and the cost is $1.90.

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