RM I 80 + 15% x RM 200​

The polynomial that satisfies the given conditions is P(x) = \(4x^3 + 4x^2 - 8x\).

We can take advantage of the fact that the polynomial is a product of linear factors corresponding to its zeros to obtain a polynomial of degree 3 with real coefficients and zeros at -2, 1, and 0. As a result, the factors are (x + 2), (x - 1), and x.

These components added together give us P(x) = (x + 2)(x - 1)(x).

The result of enlarging and simplifying is P(x) = (x2 + x - 2)(x) = x3 + x2 - 2x.

We enter x = 2 into the polynomial and check to see if it equals 32 in order to satisfy the constraint P(2) = 32.

P(2) = \(2^3 + 2^2 - 2(2)\)= 8 + 4 - 4 = 8 + 0 = 8.

Option C because P(2) is not equal to 32.

P(x) = \(4x^3 + 4x^2 - 8x\), or option C, is the right polynomial because it fits the requirements.

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Step-by-step explanation:

Answer:

Step-by-step explanation:

b = a + b table chart what equation represents the relationship between a and b shown in the table .

\(3(2x-1)-4x=6x-3-4x=2x-3\)

\( \tt3(2x - 1) - 4x = 0 \\ \tt6x - 3 - 4x = 0 \\ \tt2x - 3 = 0 \\ \tt \: 2x = 3 \\ \boxed{ \sf \: x = \frac{3}{2} }\)

Answer:

Step-by-step explanation:

x=-2+ root 5

x=-2- root 5

The values of \(x\) are required.

The values are \(x=-2+\sqrt{5},-2-\sqrt{5}\)

The given equation is

\(x^2+4x-1=0\)

The required formula to solve the equation \(ax^2+bx+c=0\) is

\(x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\)

Here,

\(a=1\)

\(b=4\)

\(c=-1\)

Substituting the values

\(x=\dfrac{-4\pm \sqrt{4^2-4\times1\times\left(-1\right)}}{2\times 1}\\\Rightarrow x=-2+\sqrt{5},-2-\sqrt{5}\)

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In a mechanical system with 5 components operating independently with a probability of 0.8, we need to calculate the probabilities of (i) none, (ii) all, and (iii) the majority of the switches not functioning. The probabilities are as follows: (i) none not functioning:\(0.8^5 = 0.32768\), (ii) all not functioning: \(0.2^5 = 0.00032\), and (iii) majority not functioning: a combination of scenarios where 3, 4, or 5 switches are not functioning.

(i) To calculate the probability that none of the switches are not functioning, we multiply the individual probabilities together since the components operate independently. Therefore, the probability is\(0.8^5 = 0.32768.\)

(ii) To calculate the probability that all switches are not functioning, we calculate the probability that each switch fails, which is 0.2, and multiply them together. Thus, the probability is \(0.2^5 = 0.00032.\)

(iii) To calculate the probability that the majority of the switches are not functioning, we need to consider scenarios where 3, 4, or 5 switches fail. We calculate the probabilities for each scenario and sum them up.

For 3 switches failing:\((0.2^3) * (0.8^2) * (5 choose 3) = 0.0064 * 0.64 * 10 = 0.04096.\)

For 4 switches failing: \((0.2^4) * (0.8^1) * (5 choose 4) = 0.0016 * 0.8 * 5 = 0.0064.\)

For 5 switches failing: \((0.2^5) * (0.8^0) * (5 choose 5) = 0.00032 * 1 * 1 = 0.00032.\)

Adding up these probabilities, we get 0.04096 + 0.0064 + 0.00032 = 0.04768.

Therefore, the probability that (i) none, (ii) all, and (iii) the majority of the switches are not functioning is 0.32768, 0.00032, and 0.04768, respectively.

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Answer:

x^2 -12x+36

Step-by-step explanation:

(x - 6)^2

(x-6)(x-6)

FOIL

x^2 - 6x-6x+36

Combine like terms

x^2 -12x+36

Answer:Para preparar la tabla de frecuencia para un histograma, es necesario primero establecer el número de intervalos que se desea tener.

Luego, se debe determinar el ancho común de los intervalos (interval width). Para esto, se calcula la diferencia del dato mayor y el dato menor, y se divide entre el número de intervalos deseados. Este resultado se redondea al entero mayor más cercano.

Por ejemplo, si se desea tener 10 intervalos y encontramos que el dato mayor es 35 y el menor es 12,

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

you don't have to but i convert 7 1/2 and 1 1/2 into 7.5 and 1.5 to make it easier than you divide.

Answer:

Step-by-step explanation:

Multiply the three dimensions

12 x 6 x 8 = 576 cm^3

Answer:

y=1

Step-by-step explanation:

first we find slope using y2-y1/x2-x1

1-1/7-(-8)

0/7+8

0/15

0

Now we can put this into the equation

y=0x+b

Now to find b we fill in the coordinates

1=0(-8)+b

1=b

y=0x+1

y=1

Hopes this helps please mark brainliest

The Cpk (Process Capability Index) for this machine is 0.5 (rounded to 3 decimal places).

To calculate the Cpk (Process Capability Index), we need to consider the specification limits and the process variation.

The Cpk is given by the formula:

Cpk = min[(USL - μ) / (3σ), (μ - LSL) / (3σ)], Where:

USL = Upper Specification Limit

LSL = Lower Specification Limit

μ = Process mean

σ = Process standard deviation

In this case, the Upper Specification Limit (USL) is 2 + 0.004 = 2.004 inches, and the Lower Specification Limit (LSL) is 2 - 0.004 = 1.996 inches.

Given that the process mean (μ) is 2.001 inches and the process standard deviation (σ) is 0.002 inch, we can substitute these values into the formula:

Cpk = min[(2.004 - 2.001) / (3 * 0.002), (2.001 - 1.996) / (3 * 0.002)]

Cpk = min[0.003 / 0.006, 0.005 / 0.006]

Cpk = min[0.5, 0.833]

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The smallest possible value of \(b\) for a least common multiple of 7200 is 2.

The least common multiple is a whole number that is the least multiple of at least two whole numbers, to determine the smallest possible value of \(b\) we need to make a factor decomposition, which is shown below:

\(7200 = 2^{5}\times 3^2\times 5^2\)

The smallest possible value of \(b\) shall be the smallest possible prime numbers contained in the product. Thus, we conclude that the smallest possible value of \(b\) is 2.

The smallest possible value of \(b\) for a least common multiple of 7200 is 2.

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Answer:

\(\displaystyle m = \frac{-7}{25}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Coordinate Planes

Slope Formula: \(\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}\)

Step-by-step explanation:

Step 1: Define

Identify.

Point (-8, 11)

Point (17, 4)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

\(\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}\)

We've been asked to find slope of the following coordinates which are (-8,11) and (17,4).

The standard formula to calculate slope is given by,

For the given situation, we can clearly say that the change in one quantity will also cause a change in the second quantity.

Correlation is a relationship between the values ​​of two variables. A scatter plot is a useful tool for displaying data about two variables as a series of points in the x and y plane and determining whether there is a correlation between the variables.

Causality means that one event causes another. Well-designed experiments can only determine causality. In such experiments, similar groups receive different treatments, and the results of each group are examined.

The collected data on the number of miles driven and fuel expenses. we found that number of miles driven tended to be lower when fuel expenses were high, and the number of miles driven tended to be higher when fuel expenses sales were high.

We do not conclude that more fuel expenses mean fewer miles driven. Likely, an Increased in fuel expenses and the number of miles driven may be caused by a third factor, car mileage. So, the present case is a case of negative correlation.

Negative correlation: y decreases as x increases.

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The equilibrium price is $0 and the equilibrium quantity is 5 units.

To find the equilibrium price and quantity, we need to set the quantity demanded equal to the quantity supplied and solve for the equilibrium values.

Setting Q_d = Q_s, we can equate the equations for demand and supply:

-2Q - 2Q_d = -5 + 3Q_s

Since we know that Q_d = Q_s, we can substitute Q_s for Q_d:

-2Q - 2Q_s = -5 + 3Q_s

Now, let's solve for Q_s:

-2Q - 2Q_s = -5 + 3Q_s

Combine like terms:

-2Q - 2Q_s = 3Q_s - 5

Add 2Q_s to both sides:

-2Q = 5Q_s - 5

Add 2Q to both sides:

5Q_s - 2Q = 5

Factor out Q_s:

Q_s(5 - 2) = 5

Q_s(3) = 5

Q_s = 5/3

Now that we have the value for Q_s, we can substitute it back into either the demand or supply equation to find the equilibrium price. Let's use the supply equation:

P = -5 + 3Q_s

P = -5 + 3(5/3)

P = -5 + 5

P = 0

Therefore, the equilibrium price is $0 and the equilibrium quantity is 5 units.

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Among the three options provided, the cross-sectional data set is the demographic data. Correct option is B).

Cross-sectional data refers to a type of data that captures information about different individuals, entities, or units at a specific point in time. It provides a snapshot of a population or sample at a particular moment, allowing for comparisons and analysis of various characteristics or variables. In the case of demographic data, it typically includes information about individuals' age, gender, education level, income, and other demographic attributes. This data set does not capture changes or trends over time but rather provides a snapshot of the population's characteristics at a specific time.

On the other hand, the BCAD data and links could refer to data related to building codes, regulations, and their corresponding references, while code cases may refer to specific instances or examples of code violations or compliance. These data sets may be specific to certain incidents or cases and do not necessarily capture information about a population or sample at a particular point in time, making them less likely to be considered cross-sectional data.

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Answer:

30.00 – (1.79a + 0.36b + 2.99)

Step-by-step explanation:

you need to rest the amount of money pay.

Step-by-step explanation:

Hola! Yo te puedo ayudar, pero no se como explicarlo en español muy bien, perdon en avance!

1) 5×10^3+6×10^2

  (5×1000)+(6×100)

   5000+600= 5,600

2a) 3×10^3×1.5×10^8

     (3×1000)×(1.5×10000000)

      3000×150000000= 450,000,000,000

2b) 4.2×10^3×2×10^-7

     (4.2×1000)×(2×0.0000001)

      4200×0.0000002= 0.00084

3a) \(\frac{6*10^5}{3*10^2}\)

    \(\frac{600,000}{300}\) = 2,000

3b) \(\frac{8*10^{-7} }{2*10^{-9} }\)

     \(\frac{0.0000008}{0.000000002}\) = 0.0000000000000016 o 1.6×10-10

4a) (2×10^5)^3

      200000^3= 8,000,000,000,000,000 o 8e+15

4b) (3×10^-12)^2

0.000000000003^2= 0.000000000000000000000006 o 9e-24

In Japanese criminal trials, approximately 95% of the defendants are found guilty, while in the United States, about 60% of defendants are found guilty, according to "The Book of Risks" by Larry Laudan.

The statistics provided indicate a stark contrast in conviction rates between Japanese and American criminal trials. In Japan, the overwhelming majority of defendants, around 95%, are found guilty. This suggests a high degree of confidence in the prosecution's ability to prove guilt. On the other hand, in the United States, about 60% of defendants are found guilty, implying a comparatively lower conviction rate. This discrepancy could be due to several factors, such as differences in legal systems, standards of proof, evidence presentation, and judicial practices. It is essential to note that these statistics provide a general overview and may vary depending on specific circumstances and cases within each country's legal system.

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I really don't know I hope you can figure it out

Answer: 43 brownies and 83 muffins.

Step-by-step explanation: There are 126 sweet items in total.  Jalece and Kaylyn make 40 more muffins than brownies, which means that there are more muffins than brownies.  Let's try 83 muffins and 43 brownies to see if it suits what we need.  With 83 muffins and 43 brownies, there are 40 more muffins than brownies, so that's correct.  83 and 43 also add up to 126, which is the total that we need.

Therefore, there are 43 brownies and 83 muffins.

Let me know if this is right! :)

Answer:

She can make 15 bracelets

Step-by-step explanation:

115 / 7.5 = 15.333

She doesn't have enough to make more then 115 as there not be 1/3 of a bracelet

The selling price of the necklace at the store is $32.64.

To calculate the selling price of the necklace, we will first find the markup amount and then add it to the original cost.

Markup = (Original Cost) x (Markup Percentage)
Markup = $24 x 36% = $24 x 0.36 = $8.64

Now, add the markup amount to the original cost to find the selling price:

Selling Price = Original Cost + Markup
Selling Price = $24 + $8.64 = $32.64

So, the selling price of the necklace at the store is $32.64.

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9514 1404 393

Answer:

  x = 10

Step-by-step explanation:

The exterior angle is equal to the sum of the remote interior angles.

  (12x +12)° = 79° +(5x+3)°

  7x = 70 . . . . . . . . divide by °; subtract 12+5x; collect terms

  x = 10 . . . . . . . . divide by 7

We have proven that the total number of parenthesizations of n matrices is Ω(4^n/n^(3/2)) using only results from Chapter 3 and C.4 of the textbook.

We can prove that the total number of parenthesizations of n matrices is Ω(4^n/n^(3/2)) using a combinatorial argument.

Let P(n) be the number of ways to parenthesize n matrices. We can use the recurrence relation given in Chapter 3 of the textbook to compute P(n):

P(n) = sum(P(i)*P(n-i)), for i = 1 to n-1

The base case is P(1) = 1, since there is only one way to parenthesize a single matrix.

Now, we can use a lower bound on P(n) to show that it is Ω(4^n/n^(3/2)).

First, note that P(n) is always an integer. This is because each parenthesization corresponds to a binary tree with n leaves (one for each matrix), and the number of binary trees with n leaves is always an integer.

Next, let Q(n) be the number of full binary trees with n leaves. A full binary tree is a binary tree in which every non-leaf node has exactly two children.

It is known (see Chapter C.4 of the textbook) that Q(n) is equal to the Catalan number C(n-1), which satisfies the following recurrence relation:

C(n) = sum(C(i)*C(n-i-1)), for i = 0 to n-1

with base case C(0) = 1.

Now, consider the set S of all parenthesizations of n matrices. For each parenthesization s in S, we can associate a full binary tree T(s) as follows:

The leaves of T(s) correspond to the n matrices.

Each internal node of T(s) corresponds to a multiplication operation in the parenthesization s.

If a multiplication operation in s involves multiplying two subexpressions that are themselves parenthesized, we create a new internal node in T(s) to represent this operation.

Thus, the set of all parenthesizations of n matrices corresponds exactly to the set of all full binary trees with n leaves.

Therefore, |S| = Q(n), where |S| denotes the size of S (i.e., the number of parenthesizations of n matrices).

It is known (see Chapter 3 of the textbook) that Q(n) is Ω(4^n/n^(3/2)). Therefore, we have shown that the total number of parenthesizations of n matrices is also Ω(4^n/n^(3/2)).

Therefore, we have proven that the total number of parenthesizations of n matrices is Ω(4^n/n^(3/2)) using only results from Chapter 3 and C.4 of the textbook.

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The line (x = 3) will be parallel to y axis, and intersects x - axis at point (3 , 0)

The coordinates of line's x - intercept is (3 , 0)

graph in attachment ~

The measure of length PQ will be 22 units.

A triangle's third side is stated to be parallel to the line segment uniting its two midpoints, and it is also half as long as the third side.

Given:

PQ = 5x + 62, and MN = 6x-4

Now, using Mid- Point Theorem

PQ= 1/2 MN

-5x+ 62 = 1/2( 6x - 4)

-5x+ 62 = 3x - 2

-5x- 3x = -2 - 62

-8x = -64

x= 8

PQ= 5x+ 62 = -5(8) + 62 = -40 + 62 = 22

Hence, the measure of PQ is 22 units.

The missing image is attached below.

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