Simplify the expression by combining like terms.2x + 4y + 6 + 2y - 5 + 3x

Answer:

Hello,

Step-by-step explanation:

\((((x^3)+3x+2)/5)+((5x^2)/2)-(x^6)\\\\=\dfrac{x^3}{5} +\dfrac{3*x}{5} +\dfrac{2}{5} +\dfrac{5*x^2}{2} -x^6\\\\\\=-x^6+0x^5+0x^4+\dfrac{x^3}{5} +\dfrac{5*x^2}{2} +\dfrac{3*x}{5}+\dfrac{2}{5} \\\\\\a)\ \dfrac{3}{5} \\\\b)\ -1\\\\c)\\degree=6\\\)

The next operation that should be done when evaluating this expression 9-12+-2+3(-3) is A. 3(-3)=-9

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

In this case, it should be noted that the expression given is written as 9-12+-2+3(-3). In PEDMAS, the first operation is parentheses. Therefore, the number on parentheses will be solved first.

In this case, the number in parentheses will be 3(-3). Therefore, the correct option is A.

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In an isosceles trapezoid, the pair of opposite angles formed by the parallel sides are congruent. Therefore, the angle that is congruent to ∠C in quadrilateral ABCD would be ∠A.

An isosceles trapezoid is a quadrilateral with one pair of parallel sides and two congruent non-parallel sides. Let's consider quadrilateral ABCD. In an isosceles trapezoid, the pair of opposite angles formed by the parallel sides are congruent. In this case, the parallel sides are AB and CD, and the angles formed by these sides are ∠A and ∠C. Since AB and CD are parallel, ∠A and ∠C are congruent.

To further understand why ∠A is congruent to ∠C, we can examine the properties of isosceles trapezoids. In an isosceles trapezoid, the non-parallel sides (AD and BC) are congruent. This means that ∠A and ∠D are congruent, as well as ∠B and ∠C. Since ∠A and ∠D are congruent, and ∠A is opposite to ∠C, it follows that ∠A and ∠C are also congruent.

Therefore, in quadrilateral ABCD, the angle that is congruent to ∠C is ∠A.

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The interquartile range is 12.

The interquartile range is the difference between the third quartile and the first quartile. The first quartile is the first line on the box while the third quartile is the third line on the box.

First quartile = 11

Third quartile = 23

Interquartile range = 23 - 11  = 12

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Answer:

X=2

Step-by-step explanation:

\(\frac{AB}{A"B"} = \frac{1}{4}\)  equation clearly illustrates how AABO and AA"B"C relate to one another.

An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.

The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.

Considering the data:

Dilation by a scale factor of 4 from the origin in the form of an A'B'C' reflection over x = 1

<=> The two triangles are comparable to one another since triangles can have the same shape but differ in size, so A′′B′′C′′ is 4 times larger than ABC.

=> the connection between "ABC" and "A"B"C" .

\(\frac{AB}{A"B"} = \frac{1}{4}\)

We settle on C.

\(\frac{AB}{A"B"} = \frac{1}{4}\)  equation clearly illustrates how AABO and AA"B"C relate to one another.

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Answer:

32/40

Step-by-step explanation:

First divide 40 by 15

to check denominator, calculate 15 * the ans and for numerator as well

Answer:30.57 cm squared

Step-by-step explanation:

Area of the composite figure will be 52.5 cm².

Given composite figure is divided into two parts (1) triangle ABC (2) Rectangle DEFG

Area of ΔABC = \(\frac{1}{2}(AB)(BC)\)

                        = \(\frac{1}{2}(5)[8-(1+2)]\)

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

                        = 12.5 cm²

Area of rectangle DEFG = Length × Width

                                        = 8 × 5

                                        = 40 cm²

Area of the composite figure = Area of triangle ABC + Area of DEFG

                                                = 12.5 + 40

                                                = 52.5 cm²

       Therefore, area of the composite figure will be 52.5 cm².

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The probability of getting two red counters is 27.77%, the probability of getting two blue counters is 20.38%, and the probability of getting one of each color is 51.38%.

Given that Tina has two bags of counters, Bag A and Bag B, and there are 5 red counters and 3 blue counters in bag A, while there are 4 red counters and 5 blue counters in bag B, to determine, if Tina takes at random a counter from each bag, the probability of obtaining each counter, the following calculation must be made:

Therefore, the probability of getting two red counters is 27.77%, the probability of getting two blue counters is 20.38%, and the probability of getting one of each color is 51.38%.

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x - 2y = 2. …………(1). and x + y^2 =10. ………………(2).

Subtracting eqn. (1) from eqn. (2).

y^2 + 2y = 8.

or, y^2 +2y - 8 =0.

or, (y +4).(y-2)=0.

or, y = -4 , 2. and x = -6 , 6.

Thus, A(-6,-4) and B(6,2). let the mid point of AB is M , M((-6+6)/2,(-4+2)/2)

or, M(0, -1).

slope of AB = (2+4)/(6+6) = 1/2.

Slope of the perpendicular bisector of the line AB= -2.

Hence, the eqn. of the perpendicular bisector of AB is:-

y. +1 = - 2.(x - 0).

or, 2.x + y + 1 = 0. Answer.

Answer:

24°c

Step-by-step explanation:

PLEASE accept me in brainly

Answer:

1450

Step-by-step explanation:

23*63= 1449

1449 yo the nearest 10 = 1350

Answer:

\(\dfrac{\text{d}y}{\text{d}x}=3e^{3x-5}\)

Step-by-step explanation:

Differentiating from First Principles is a technique to find an algebraic expression for the gradient at a particular point on the curve.

\(\boxed{\begin{minipage}{5.6 cm}\underline{Differentiating from First Principles}\\\\\\$\text{f}\:'(x)=\displaystyle \lim_{h \to 0} \left[\dfrac{\text{f}(x+h)-\text{f}(x)}{(x+h)-x}\right]$\\\\\end{minipage}}\)

The point (x + h, f(x + h)) is a small distance along the curve from (x, f(x)).

As h gets smaller, the distance between the two points gets smaller.

The closer the points, the closer the line joining them will be to the tangent line.

To differentiate y = e^(3x-5) using first principles, substitute f(x + h) and f(x) into the formula:

\(\displaystyle \dfrac{\text{d}y}{\text{d}x}=\lim_{h \to 0} \left[\dfrac{e^{3(x+h)-5}-e^{3x-5}}{(x+h)-x}\right]\)

Simplify the numerator:

\(\displaystyle \dfrac{\text{d}y}{\text{d}x}=\lim_{h \to 0} \left[\dfrac{e^{3x+3h-5}-e^{3x-5}}{(x+h)-x}\right]\)

\(\displaystyle \dfrac{\text{d}y}{\text{d}x}=\lim_{h \to 0} \left[\dfrac{e^{3x-5}e^{3h}-e^{3x-5}}{h}\right]\)

\(\displaystyle \dfrac{\text{d}y}{\text{d}x}=\lim_{h \to 0} \left[\dfrac{e^{3x-5}(e^{3h}-1)}{h}\right]\)

Apply the Product Law for Limits, which states that the limit of a product of functions equals the product of the limit of each function:

\(\displaystyle \dfrac{\text{d}y}{\text{d}x}=\lim_{h \to 0}\left[e^{3x-5}\right] \cdot \lim_{h \to 0} \left[\dfrac{(e^{3h}-1)}{h}\right]\)

Since the first function does not contain h, it is not affected by the limit:

\(\displaystyle \dfrac{\text{d}y}{\text{d}x}=e^{3x-5}\cdot \lim_{h \to 0} \left[\dfrac{(e^{3h}-1)}{h}\right]\)

Transform the numerator of the second function.

\(\textsf{Let\;\;$e^{3h}-1=n \implies e^{3h}=n+1$}\)

\(\textsf{You will notice that as\;\;$h \to 0, \;e^{3h} \to 1$,\;so\;\;$n \to 0$.}\)

Take the natural log of both sides and rearrange to isolate h:

\(\ln e^{3h}=\ln(n+1)\)

    \(3h=\ln(n+1)\)

      \(h=\dfrac{1}{3}\ln(n+1)\)

Therefore:

\(\displaystyle \dfrac{\text{d}y}{\text{d}x}=e^{3x-5}\cdot \lim_{n \to 0} \left[\dfrac{n}{\frac{1}{3}\ln(n+1)}\right]\)

\(\displaystyle \dfrac{\text{d}y}{\text{d}x}=e^{3x-5}\cdot \lim_{n \to 0} \left[\dfrac{3n}{\ln(n+1)}\right]\)

Rewrite the fraction as 1 divided by the reciprocal of the fraction:

\(\displaystyle \dfrac{\text{d}y}{\text{d}x}=e^{3x-5}\cdot \lim_{n \to 0} \left[\dfrac{1}{\frac{\ln(n+1)}{3n}}\right]\)

\(\displaystyle \dfrac{\text{d}y}{\text{d}x}=e^{3x-5}\cdot \lim_{n \to 0} \left[\dfrac{1}{\frac{1}{3n}\ln(n+1)}\right]\)

\(\displaystyle \dfrac{\text{d}y}{\text{d}x}=e^{3x-5}\cdot \lim_{n \to 0} \left[\dfrac{3}{\frac{1}{n}\ln(n+1)}\right]\)

Apply the Log Power Law:

\(\displaystyle \dfrac{\text{d}y}{\text{d}x}=e^{3x-5}\cdot \lim_{n \to 0} \left[\dfrac{3}{\ln(n+1)^{\frac{1}{n}}}\right]\)

Apply the Quotient Law for Limits, which states that the limit of a quotient of functions equals the quotient of the limit of each function:

\(\dfrac{\text{d}y}{\text{d}x}=e^{3x-5}\cdot \left[\dfrac{\displaystyle\lim_{n \to 0}3}{\displaystyle\lim_{n \to 0}\ln(n+1)^{\frac{1}{n}}}\right]\)

Therefore, the numerator is a constant:

\(\dfrac{\text{d}y}{\text{d}x}=e^{3x-5}\cdot \left[\dfrac{3}{\displaystyle\lim_{n \to 0}\ln(n+1)^{\frac{1}{n}}}\right]\)

The limit of a function is the function of the limit.

Move the limit inside and take the natural log of that limit:

\(\dfrac{\text{d}y}{\text{d}x}=e^{3x-5}\cdot \left[\dfrac{3}{\displaystyle \ln\left(\lim_{n \to 0}(n+1)^{\frac{1}{n}}\right)}\right]\)

The definition of e is:

\(\boxed{e=\lim_{n \to 0}(n+1)^{\frac{1}{n}}}\)

Therefore:

\(\dfrac{\text{d}y}{\text{d}x}=e^{3x-5}\cdot \left[\dfrac{3}{\displaystyle \ln\left(e\right)}\right]\)

As ln(e) = 1, then:

\(\dfrac{\text{d}y}{\text{d}x}=e^{3x-5}\cdot \left[\dfrac{3}{1}\right]\)

\(\dfrac{\text{d}y}{\text{d}x}=e^{3x-5}\cdot 3\)

\(\dfrac{\text{d}y}{\text{d}x}=3e^{3x-5}\)

For a 95% confidence interval, number of blocks that must be sampled is 139, and for a 99% confidence interval, number of blocks that must be sampled is 238.

We will use the formula for the sample size in a confidence interval estimation:
n = (Z * σ / E)²

Where n is the sample size, Z is the Z-score corresponding to the desired confidence level, σ is the standard deviation, and E is the margin of error.

a. For a 95% confidence interval, the Z-score is 1.96. The standard deviation is 0.6 kg, and the margin of error is ±0.1 kg. Plugging these values into the formula:

n = (1.96 * 0.6 / 0.1)²
n ≈ 138.3

Since we need to round up the final answer to the nearest integer, the number of blocks that must be sampled for a 95% confidence interval is 139.

b. For a 99% confidence interval, the Z-score is 2.576. Using the same formula with this new Z-score:

n = (2.576 * 0.6 / 0.1)²
n ≈ 237.8

Again, rounding up the final answer to the nearest integer, the number of blocks that must be sampled for a 99% confidence interval is 238.

In summary, for a 95% confidence interval, 139 blocks must be sampled, and for a 99% confidence interval, 238 blocks must be sampled.

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Answer:

y=5x+46

Step-by-step explanation:

apply point

-1=5(9)+n

-1=45+n

n=-46

y=5x+46

Answer:

y + 1 = 5(x - 9)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Here m = 5 and (a, b ) = (9, - 1 ) , then

y - (- 1) = 5(x - 9) , that is

y + 1 = 5(x - 9)

Options B and D are the most relevant to the Objective of increasing national tourism by road. By increasing the percentage of people who prefer to travel to nearby destinations and reducing the percentage of those who do not prefer road travel, the travel agency can effectively promote road tourism within the country.

A travel agency's goal is to increase national tourism by road, and they have developed an advertising strategy to achieve this. The success of this strategy will be reflected in certain criteria. Let's examine the options:

A. Maintaining the response rates to question 2.

This option does not directly indicate how it relates to the objective of increasing national tourism by road. It does not specify how the response rates to question 2 contribute to achieving the goal.

B. Increasing the percentage of people who prefer to travel to places close to their residence, as mentioned in question 3.

This option aligns with the objective of promoting national tourism by road. By encouraging people to choose destinations that are closer to their residences, the travel agency aims to promote road travel within the country. Therefore, this option is relevant to the goal of increasing national tourism by road.

C. Exchanging the percentages of answers to question 1 and maintaining the percentages in the other questions.

This option does not provide clear information on how it relates to the objective of increasing national tourism by road. Swapping the percentages of answers to question 1 alone may not directly contribute to the goal unless the specific content of the question is known.

D. Reducing the percentages of those who do not prefer to travel by road, as mentioned in the question.

This option is directly aligned with the objective of increasing national tourism by road. By reducing the percentage of people who do not prefer road travel, the travel agency aims to attract more travelers to choose road transportation for their trips.

In conclusion, options B and D are the most relevant to the objective of increasing national tourism by road. By increasing the percentage of people who prefer to travel to nearby destinations and reducing the percentage of those who do not prefer road travel, the travel agency can effectively promote road tourism within the country.

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Step-by-step explanation:

from what I can see, the line goes through (100, 0) and (0, -100).

the general line function is

y = ax + b

a is the slope of the line, excised as ratio y/x, as it indicates how many units y changes, when x changes a certain amount of units.

we use the 2 points to find the coordinate differences and therefore the slope.

going from (0, -100) to (100, 0) x changes by +100, and y changes by +100.

so, the ratio y/x = a = 100/100 = 1

now to find b we use the coordinates of one of the points in the main equation and solve for b. we use e.g. (100, 0)

0 = 1×100 + b

b = -100

so, the line function is

y = x - 100

Answer:

The domain of the function is -4 ≤ x ≤ 9 ⇒ D

Step-by-step explanation:

In the given figure

∵ There are 5 intervals between 0, 10 and 0, -10 on the x-axis

∴ Each square = 2

∵ There are 5 intervals between 0, 10 and 0, -10 on the y-axis

∴ Each square = 2

→ Find the coordinates of the starting and the ending point of the graph

∵ The starting point located 2 squares left and 2 squares down

∴ The starting point of the graph of the function is (-4, -4)

∵ The ending point located 4.5 squares right and 4 squares up

∴ The ending point of the graph of the function is (9, 8)

→ That means the x-coordinates of all points on the graph is from -4 to 9

∴ All values of x-coordinates on the function are located on -4 ≤ x ≤ 9

∵ The domain of the function is the values of x

∴ The domain of the function is -4 ≤ x ≤ 9

The size of the key space is 256^8, or 2^64. The average key search time would be 2^64/processing power of PC, which would be a very large number.

The question is asking about the size of the key space if 8 randomly chosen 8-bit ASCII characters are used, and how long it would take to find a key on a single PC.

The size of the key space if all 8 characters are randomly chosen 8-bit ASCII characters is 256^8 = 2^64 = 18,446,744,073,709,551,616.

The average key search time with a single PC would be 18,446,744,073,709,551,616 / 2,000,000,000,000 (2 trillion) operations per second = 9,223,372,036,854,775.8 seconds, which is approximately 292,030 years.

The size of the key space for an 8-bit ASCII character is 2^64 combinations. On average, it will take a single PC 2^64 / (processing speed of PC in Hz) seconds to search through the entire key space.

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This formula gives the correct values for the first few terms, and we can easily verify that it satisfies the given recursion formula.

To find a formula for the sequence, we can use recursion. From the given information, we have:

s0 = -1

s1 = -14

To find s2, we use the given formula:

s2 = 4s0 = 4(-1) = -4

To find s3, we use the formula again:

s3 = 4s1 = 4(-14) = -56

To find s4, we use the formula again:

s4 = 4s2 = 4(-4) = -16

We can continue this pattern to find each term in the sequence. However, we notice that the sequence alternates between -4 and -16 as we go from even to odd indices. Therefore, we can express the sequence using a piecewise formula:

sn =

-1 if n = 0

-14 if n = 1

-4 if n is even and greater than 0

-16 if n is odd and greater than 1

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Per determinar  el nombre de làmines necessàries per al vidre que Joan ha trobat, necessitarem tenir més informació sobre les dimensions del vidre i les làmines en què es ven.

Si el vidre té una mida específica, hauríem de conèixer l'alçada i l'amplada per calcular l'àrea total del vidre. A continuació, hauríem de comparar l'àrea del vidre amb l'àrea de cada làmina per determinar el nombre necessari.Si coneixem les dimensions de les làmines, podem dividir l'àrea total del vidre per l'àrea de cada làmina per trobar el nombre aproximat de làmines necessàries. En aquest cas, hauríem de considerar els marges de tall i les pèrdues en el procés de tall.Per tant, per poder respondre amb precisió a la pregunta, necessitaríem més informació sobre les dimensions del vidre i les làmines en què es ven.

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You can use the Pythagorean Theorem to write an equation that describes how the side lengths are related as 20² + 15² = 25².

The Pythagorean theorem can be defined as a mathematical expression in Euclidean geometry that can be used to solve for any of the three (3) side lengths of a right triangle.

Mathematically, Pythagorean's theorem is given by this mathematical expression:

a² + b² = c²

20² + 15² = 25².

400 + 225 = 625

625 = 625 (proof).

In conclusion, you would know that the geometric proof of the Pythagorean Theorem can be applied to all right triangles because the square of the hypotenuse is always equal to the sum of the square of the opposite side and the adjacent side of a right triangle.

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Answer: there is no answer boi

Step-by-step explanation:

(a). There is a 5.26% chance that the metal ball falls into a green slot.

(b). There is a 52.63% chance that the metal ball falls into either a green or a red slot on any given spin of the roulette wheel.

(c). P(00 or red)  ≈ 0.5263

(d). This event is called impossible.

(a) P(green) = 2/38 = 1/19 ≈ 0.0526.

This means that there is a 5.26% chance that the metal ball falls into a green slot on any given spin of the roulette wheel.

If the wheel is spun 100 times, one would expect about 5 spins to end with the ball in a green slot. (Expected value = 100 x P(green) = 100/19 ≈ 5.26, which we round to the nearest integer.)

(b) P(green or red) = P(green) + P(red) = 2/38 + 18/38 = 20/38 ≈ 0.5263. This means that there is a 52.63% chance that the metal ball falls into either a green or a red slot on any given spin of the roulette wheel.

If the wheel is spun 100 times, one would expect about 53 spins to end with the ball in either a green or red slot. (Expected value = 100 * P(green or red) = 2000/38 ≈ 52.63, which we round to the nearest integer.)

(c) P(00 or red) = P(00) + P(red) = 2/38 + 18/38 = 20/38 ≈ 0.5263. This means that there is a 52.63% chance that the metal ball falls into either 00 or a red slot on any given spin of the roulette wheel.

(d) The probability that the metal ball falls into the number 31 and a black slot simultaneously is zero, since 31 is an odd number and all odd numbers are red on the roulette wheel. This event is called impossible.

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The p-value is a probability value used in hypothesis testing that determines the statistical significance of a hypothesis test. It determines the likelihood of observing the test statistic or a more extreme one in favor of the alternative hypothesis if the null hypothesis were true. In this case, a p-value for a hypothesis test of the mean was 0.0330 and the level of significance was 1%.

To conclude the p-value for the given hypothesis test of the mean was 0.0330 and the level of significance was 1%, we need to compare p-value to the significance level. When p-value is less than the significance level, we reject the null hypothesis, and when p-value is greater than or equal to the significance level, we fail to reject the null hypothesis. Therefore, in this case, we would reject the null hypothesis because 0.0330 is less than the 1% significance level.

Since the given p-value for the hypothesis test of the mean was 0.0330 and the level of significance was 1%, we can make the following conclusion:We reject the null hypothesis because 0.0330 is less than the 1% level of significance. Therefore, we can say that there is enough evidence to support the alternative hypothesis over the null hypothesis.

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Using translation concepts, the vertices of the rectangle after the translation about the origin by 180° will be as follows:

E'(-4,3), F'(7,-5) and G(-2,-8).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The rule for a rotation of 180º about the origin is:

(x,y) -> (-x,-y).

Hence, for triangle EFG, the vertices after the translation will be given as follows:

E'(-4,3), F'(7,-5) and G(-2,-8).

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Answer:

Step-by-step explanation:

No. of hours, hourly employee need to work to get earnings as the standard employee = 50 hours.

What is an equation?

An equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”. For example, 2x – 5 = 13.

Here,

2x – 5 and 13 are expressions

The sign that connects these two expressions is “=”.

Given, weekly salary of an employee = $500

Hourly earning of another employee = $10

Let the hourly employee work for x hours to earn the same earnings as weekly employee

By the question,

$10 x = $500

x = $500/$10

x = 50 hrs.

Hence, the hourly employee has to work around 50 hours make same weekly earnings as the standard employee.

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