Can someone please help thank you, I will give brainliest to the first person that answers

For n = 3, x = 9, and x = 2i, we can say that one of the factors is (x - 9) as well as (x - 2i).

(x - 2i) is derived from x² = -4 which is equal to (x² + 4). Therefore, the two factors are (x - 9) and (x² + 4). To get the polynomial function, let's multiply the two factors using FOIL Method.

The polynomial function of the first bullet is f(x) = x³ - 9x² + 4x - 36.

For n = 3, x = -1, and x = 4 + i, we can say that the factors are:

(x + 1) , (x - (4 + i)), and (x - (4 - i))

Note: Always remember those complex zeros like x = 4 + i come in conjugate pairs.

To solve the polynomial function, let's multiply the three factors.

The polynomial function of the second bullet is f(x) = x³ - 7x² + 9x + 17.

Answer:

9°C

Step-by-step explanation:

Group the terms and get \(24+8-1-10-12\)

Then simplify to get \(32-23\)

Subtract and you get 9

So the answer is 9°C.

Hope this helps!

Answer:

144

Step-by-step explanation:

Multiply each option together 9X4X4=144

Answer:

9 scoops

Step-by-step explanation:

3 scoops = 45g

3/45 scoops = 1g

3/45*135 scoops = 135g = 9 scoops

ANSWER

28.285 units

EXPLANATION

We are given the square EFGH and we need to find the perimeter.

The perimeter of a square is given as:

P = 4 * L

P = 4L

where L = length of the side of the square

To find the length of the side of the square, we have to find the distance between a pair of adjacent vertices of the square.

Let us pick E(0, 5) and F(5, 0).

The distance between the two points is:

where (x1, y1) = (0, 5)

(x2, y2) = (5, 0)

Therefore, the length of the square (distance between the two points) is:

Therefore, the perimeter of the square is:

P = 4 * 7.071

P = 28.284 units

The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

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The correct statement that assigns the value 1.667 to the array "fractions" at element 9 is not included in the options given.

It is important to note that arrays start counting from 0, so the 9th element would be at index 8. If there was a statement like "fractions[8] = 1.667", then that would be the correct answer.

However, since none of the options include the correct index, none of them are assigning the value 1.667 to the 9th element of the "fractions" array.

None of the options have the index of 9, and therefore cannot assign a value to that specific element

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To find the rank of A, we count the number of nonzero rows in either A or B. The rank represents the number of linearly independent rows or columns in the matrix. The dimension of the null space, also known as the nullity, is calculated by subtracting the rank from the number of columns in A. Additionally, we can find bases for the column space of A, the row space of A, and the null space of A.

To summarize:

- Rank(A) = Number of nonzero rows in A or B (same for row space)

- Dim(Nul(A)) = Number of columns in A minus Rank(A) (same for null space)

- Bases for the column space, row space, and null space of A need to be determined.

To find a basis for the column space of A, we take the pivot columns from the row-reduced form of A (or B). These pivot columns form a linearly independent set that spans the column space of A.

To find a basis for the row space of A, we take the nonzero rows from the row-reduced form of A (or B). These rows form a linearly independent set that spans the row space of A.

To find a basis for the null space of A, we solve the homogeneous system of equations A*x = 0. The basic solutions obtained represent a basis for the null space of A.

By following these steps, we can determine the bases for the column space, row space, and null space of the given matrix A, which is row equivalent to matrix B.

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The sum of the given convergent series is 5.We can use the formula to find the sum of the convergent series.

S_n = \(a(1 - r^n) / (1 - r)\)

Where S_n represents the sum of the first n terms of the geometric sequence and

a is the first term and r is the common ratio.

In the given convergent series,

\([infinity]\sum n\) =\(0 5(1/2)^n\),

a = 5

and r = 1/2.

Substituting the values in the formula,

\(S_n = a(1 - r^n) / (1 - r)\)

\(S_n = 5(1 - (1/2)^n) / (1 - 1/2)\)

\(S_n = 5(1 - (1/2)^n) / 1\)

\(S_n = 5(1 - (1/2)^n)\)

Now, as n tends to infinity,\((1/2)^n\) approaches 0.

Therefore, the sum of the given convergent series is:

S = 5(1 - 0)S

= 5

Hence, the sum of the given convergent series is 5

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Answer:

2 or 8

Step-by-step explanation:

Place value can be defined as the numerical value representing a digit owing to its position in a number. Some examples of the various place values used in representing each digit are tenths, hundredths, thousandths, unit, tens, hundreds, thousands etc.

Given the following number;

183184

Taking the square root, we have;

√183184 = 428

Therefore, the possible "one's" digits of the square root of the number 183184 is 2 or 8.

Answer:

-1.4, -.7 .003, 3%(.03), .3, .66(2/3) .85 (7/8) 0.875, 100/50 (2)

Step-by-step explanation:

Given the ODE using Frobenius Method x²y"+x²y¹-2y = 0The Frobenius method is used to obtain the power series solution of a differential equation of the form:

xy″+p(x)y′+q(x)y=0Which is given in your question as: x²y"+x²y¹-2y = 0The general form of the Frobenius solution can be expressed as a power series of the form:y(x)=x^r ∑_(n=0)^(∞) a_n x^n+rwhere 'r' is any arbitrary constant and the 'a_n' coefficients are determined from the recurrence relation.

The Frobenius method consists of substituting this power series into the differential equation and equating the coefficient of the same powers of x to zero. This method can be used to solve any second-order differential equation having a regular singular point.

Therefore, substituting the given equation we get:$$ x^2 y'' + x^2 y' - 2y = 0 $$Let the solution of the given equation be:y(x) = ∑_(n=0)^(∞) a_n x^(n + r)Substituting this in the differential equation, we get:$$ x^2y'' + x^2y' - 2y = \sum_{n=0}^\infty a_n [(n+r)(n+r-1)x^{n+r} + (n+r)x^{n+r} - 2x^{n+r}] $$Equating the coefficient of each power of x to zero, we get:Coefficients of x^(r):$$ r(r-1)a_0 = 0 \Rightarrow r=0,1 $$Coefficients of x^(r + 1):$$ (r+1)r a_1 + (r+1)a_1 - 2a_0 = 0 $$Taking r = 0, we get:a_1 - 2a_0 = 0a_1 = 2a_0

The solution becomes:y_1(x) = a_0 [1 + 2x]Taking r = 1, we get:$$ 6a_2 + 3a_1 - 2a_0 = 0 $$a_2 = (1/6) [2a_0 - 3a_1]Substituting the value of a_1 from above, we get:a_2 = a_0/3The second solution is given by:y_2(x) = a_0 [x^2/3 - 2x/3]Therefore, the required solution of the given ODE using Frobenius method is:y(x) = c_1 y_1(x) + c_2 y_2(x)y(x) = c_1 [1 + 2x] + c_2 [x^2/3 - 2x/3]

Hence, the second and third-degree Legendre polynomials generated and the solution of the given ODE using the Frobenius method is obtained above.

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To find the standard deviation of a sampling distribution, you need to calculate the mean, deviations, squared deviations, and sum of squared deviations, and then divide by n-1 before taking the square root.

To find the standard deviation of a sampling distribution, you can follow these steps:

1. Collect a sample of data from the population of interest.
2. Calculate the mean of the sample.
3. Calculate the deviation of each individual data point from the mean.
4. Square each deviation.
5. Sum up all the squared deviations.
6. Divide the sum of squared deviations by the sample size minus one (n-1).
7. Take the square root of the result obtained in step 6.

The standard deviation of the sampling distribution represents the average amount by which the sample means differ from the population mean. It measures the variability or dispersion of the sample means around the population mean.

Let's consider an example: Suppose you want to find the standard deviation of the sampling distribution of the sample means for the weights of apples. You collect a sample of 10 apples and find their weights. You calculate the mean weight of the sample, then calculate the deviation of each apple's weight from the mean, square each deviation, sum up the squared deviations, divide by 10-1, and finally, take the square root. This will give you the standard deviation of the sampling distribution.

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Answer:

Proper

Hope this helps!

Answer:

25 squareinches

Step-by-step explanation:

All polygons with the same length and width has the sam area.

Answer:

m = -5/3

Y-intercept: (0, 64/3)

Step-by-step explanation:

Slope = rise/run or (y2 - y1) / (x2 - x1)

Points (14, -2) and (5,13)​

We see the y increase by 15 and the x decrease by 9, so the slope is

m = -15/9 = -5/3
The y-intercept is located at ( 0, 64/3)

Given:

Consider the given gallons are \(8\dfrac{1}{4}\) gallons.

To find:

The number of quarts in \(8\dfrac{1}{4}\) gallons.

Solution:

We know that,

1 gallons = 4 quarts

Using this conversion, we get

\(8\dfrac{1}{4}\text{ gallons}=4\times 8\dfrac{1}{4}\text{ quarts}\)

\(8\dfrac{1}{4}\text{ gallons}=4\times \dfrac{32+1}{4}\text{ quarts}\)

\(8\dfrac{1}{4}\text{ gallons}=4\times \dfrac{33}{4}\text{ quarts}\)

\(8\dfrac{1}{4}\text{ gallons}=33\text{ quarts}\)

Therefore, there are 33 quarts in \(8\dfrac{1}{4}\) gallons.

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The probability of rolling a red or blue on the fair cube is P = 2/3 = 0.67

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability of rolling a red or blue on the fair cube is P

Now , there are a total of 6 sides on the fair cube, with 2 red sides, 2 blue sides, and 2 green sides.

The probability of rolling a red or blue side can be found by dividing the number of red or blue sides by the total number of sides.

The number of red or blue sides is 2 + 2 = 4, since there are 2 red sides and 2 blue sides.

The total number of sides is 6.

Therefore, the probability of rolling a red or blue side is:

P(red or blue) = (number of red or blue sides) / (total number of sides) = 4/6 = 2/3

So the probability of rolling a red or blue side on the fair cube is 2/3 or approximately 0.67

Hence , the probability is 2/3

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The given statement is not true because the actual distance between two towns is greater than 100 times the map distance since 100 miles is more than 100 times as great as 1 inch.

We are given the scale of the map as;

1 inch : 100 miles

What this means is that 1 inch on the map represents an actual distance of 100 miles.

Now, from conversion values, we know that;

1 mile = 63360 inches

Now, the question is trying to suggest that the actual distance between two towns 100 times the map distance between the two towns

The given statement is not true because as seen from the conversion above, the actual distance between two towns is greater than 100 times the map distance since 100 miles is more than 100 times as great as 1 inch.

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Answer

15

hope it helps alot

By dividing the output power (work completed) by the input power ratio, the motor's efficiency may be determined. In this instance, the input power is 300 W, and the output power is 2400 joules (400 N * 6.0 m). As a result, the motor has an efficiency of 2400 J/300 W, or 8.0.

The input power is 300 W.

Time (t) = 20 s

Height is 6.0 metres.

(F) = 400 N Load

Output power (Pout) is calculated as follows: F x h = 400 N x 6.0 m = 2400 J

Efficiency (e) is calculated as Pout / P = 2400 J / 300 W = 8.0.

A motor's efficiency can be determined by dividing its output power by its input power. Assuming that the input power is 300 W and the output power equals the amount of work completed, the load (F) and height can be multiplied to determine the output power (h). The output power in this example is 2400 joules (400 N * 6.0 m) since the load is 400 N and the height is 6.0 m. The motor's efficiency is 2400 J/300 W, or 8.0, as a result. Knowing the input power, output power, and length of time it took the motor to lift the load will help you determine the efficiency. In this illustration, the time is 20 s, and the input power is 300 W.

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Answer:

325.6g

Step-by-step explanation:

weight of phone + weight of case

= 310 + 15.6

= 325.6g

mark as brainliest pls

Answer: Set your trinomial equal to 160(360), then solve for "x". I think from your instructions that this is what it is asking you to do. But, there is a simpler way.

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

got it right on edge

The volume of the metal in the cylinderical pipe given the dimensions of the larger and smaller cylinders is 271.30 mm³.

A cylinder is a three-dimensional object. It is a prism with a circular base.

Volume of a cylinder = nr^2h

Where:

The volume of the metal in the cylinderical pipe = 3.14 x 10 x [(8.4/2)² - 6/2)²] = 271.30 mm³

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Source segregation refers to the ability to distinguish auditory events in the broader environment. This involves the distinction of various harmonic sounds present in the environment.

Source segregation is a perceptual process that allows individuals to separate and identify different auditory events or sources in a complex acoustic environment. It involves the ability to perceive and distinguish different sound sources based on their characteristics. This includes factors such as pitch, timbre, spatial location, and temporal properties.

The process of source segregation allows us to focus on specific sounds of interest while ignoring or separating them from other concurrent sounds. It enables us to identify and track individual sound sources in environments with multiple overlapping sounds, such as conversations in a noisy room or identifying individual instruments in a musical ensemble.

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Step-by-step explanation:

here is your answer. where are you from

The cost price is Rs22600, the marked price is Rs31640 and the Profit percentage is 19%.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

For example, if you say 678, we must also know the whole number, but if you say 80%, it becomes evident. The percentage is the same as the amount of that value but ranges from 1 to 100.

Let's say

Cost of article = c

Given,

Marked 40% above the cost price and sold with 15% discount including 10% VAT at Rs. 26,894

1.4c - 0.15×(1.4c) = 26894

c = Rs 22600

So,

Marked price = 1.40c = Rs 31640

Profit percentage = ( 26894 - 22600)22600 = 19%.

Hence cost price is Rs22600, the marked price is Rs31640 and the Profit percentage is 19%.

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Answer: The answer is 7(9 + 5)=98

7x9=63

7x5=35

63+35=98

Step-by-step explanation: 63+35=98

Answer:

9(7+35)

Step-by-step explanation:

don't really have a step-by-step so I hope u don't fail

The curve with parametric equations x = \(e^{- t}\) + t, y = \(e^t\) − t, − 2 ≤ t ≤ 2 can be plotted on a graph. The arrow shows the direction where t increases in the interval (-2,2).

The length of a curve of the provided parametric equations is indicated by the arrow pointing in the direction wherein the curve is traced given data.

Think about the equations for the parameterized curve in the x-y plane.

x = x( t )

y = y( t )

where the argument is t. The graph of the curve is created by charting the series of points as the variable t changes (x,y).

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The question is -

Select the curve generated by the parametric equations. Indicate with an arrow the direction in which the curve is traced as t increases. x = \(e^{- t}\) + t , y = \(e^t\) − t , − 2 ≤ t ≤ 2