Write fractions in simplest form -12.41 - (-9.95)

The roots of h(x)=x³−2x²+9x−18 is 2, -3i and 3i.

The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics.

Given:

h(x)=x³−2x²+9x−18

so, (x-2) is the solution of h(x).

Now, the synthetic division

                                  (x-2) | x³−2x²+9x−18 | x² + 9

                                            x³ −2x²

                                      __________

                                                0   + 9x - 18

                                                         9x - 18

                                                     __________

                                                               0

now, again factorize x² + 9 = 0

 x = ±3i

Hence, the roots are 2, -3i and 3i.

Learn more about Factorization here:

https://brainly.com/question/14067703

#SPJ1

Answer:

156

Step-by-step explanation:

Tienes que cambiar los valores de las letras por el número que te indica

x=3  y=-6   36x-8y

Entonces:

36(3)-8(-6)

108+48

156

Answer:

here is da answer 4 ur quest

Answer:

6y

Step-by-step explanation:

3(2y)

= 6y

So, the answer is 6y

Answer:

The British controlled Africa, but feelings of nationalism started by the pan Africa movement lead to more and more people in Africa wanting their independence. ... Nationalism lead to the Kenyans feeling that their land was taken unfairly. Eventually, conflict led to independence.

Step-by-step explanation:

The mean of the data set is 3.63, the median is 2.4, and the mode is also 2.4. To find the mean, median, and mode of the given data set, we can use the following steps

To find the mean, median, and mode of the given data set, we can use the following steps:
1. Mean: Add up all the values in the data set and divide by the total number of values. In this case, the sum is 21.8 and there are 6 values.

So, the mean is 21.8/6 = 3.63.
2. Median: Arrange the values in ascending order. The data set becomes 2.3, 2.3, 2.4, 2.4, 2.4, 12.0.

Since there are 6 values, the median is the average of the 3rd and 4th value, which is (2.4 + 2.4)/2 = 2.4.
3. Mode: The mode is the value that appears most frequently in the data set. In this case, the value 2.4 appears 3 times, which is more than any other value.

Therefore, the mode is 2.4.
In summary, the mean of the data set is 3.63, the median is 2.4, and the mode is also 2.4.

To know more about median visit:

https://brainly.com/question/30891252

#SPJ11

Answer:

x = 9

Step-by-step explanation:

we require to find input value x given g(x) = y = 3

locate y = 3 on the y- axis, go horizontally to meet the graph at (9, 3 )

thus when g(x) = 3 the input value is x = 9

\(\huge\begin{array}{ccc}A=75ft^2\end{array}\)

The formula:

\(\huge\boxed{A=l\cdot w}\)

\(l\) - length of a rectangle

\(w\) - width of a rectangle

\(l=25ft,\ w=30ft\)

substitute:

\(A=25\cdot30=750ft^2\)

Simple answer: C. Between 9 and 10.

Hope this isn't too late to help

The correct option is a) $5161.24

To evaluate the expression P(1+rt) with the given values:

P = 1575

r = 0.055

t = 168/365

First, let's calculate rt:

rt = 0.055 * (168/365)

= 0.0252836 (rounded to 7 decimal places)

Now, substitute the values into the expression P(1+rt):

P(1+rt) = 1575 * (1 + 0.0252836)

= 1575 * 1.0252836

= 1615.85846 (rounded to 5 decimal places)

The result is approximately $1615.86.

Therefore, the correct option is a) $5161.24

Learn more about expression from

brainly.com/question/1859113

#SPJ11

The number of regions created when constructing a Venn diagram with three overlapping sets is 8.

In a Venn diagram, each set is represented by a circle, and the overlapping regions represent the elements that belong to multiple sets.

When three sets overlap, there are different combinations of elements that can be present in each region.

For three sets, the number of regions can be calculated using the formula:

Number of Regions = 2^(Number of Sets)

In this case, since we have three sets, the formula becomes:

Number of Regions = 2^3 = 8

So, when constructing a Venn diagram with three overlapping sets, there will be a total of 8 regions formed.

Each region represents a unique combination of elements belonging to different sets.

These regions help visualize the relationships and intersections between the sets, providing a graphical representation of set theory concepts and aiding in analyzing data that falls into multiple categories.

Therefore, the correct answer is 8.

To know more about Venn diagram refer here :

https://brainly.com/question/318076803

#SPJ11

ANSWER- X is  2.52083333 or 2.52083 rounded

265-23 is 242. 242 divided into 96 is 2.52083333

(96 x 2.52083333)+23 = 265

This means our X is 2.52083...

HOPE THIS HELPS & GOOD LUCK

Answer:

\(\displaystyle \frac{121}{48}\)

or

\(2.5208\bar3\)

To begin, subtract 23 from both sides of the equation. This will move the constants to the right side.

\(96x=242\)

Then, divide both sides of the equation by 96. This will isolate the unknown, x, and allow you to solve the equation.

\(\displaystyle \frac{96x}{96}=\frac{242}{96}\)

\(\displaystyle x=\frac{121}{48}\)

There are two different answers that are equivalent but will depend on what you are looking for.

For a fraction answer, your final answer is \(\displaystyle \frac{121}{48}\).

For a decimal answer, your final answer is \(2.5208\bar3\).

The total surface area of the pyramid is  335 square centimeters

The formula for determining the total surface area of a pyramid is expressed as;

TSI = 1/2(PI) + B

Given that;

Now, let's determine the base perimeter

Perimeter = 2( l + w)

Substitute the values

Perimeter = 2 ( 8 + 12)

Perimeter = 40 centimeters

The base area is given as;

Base area =  8(12)

Base area = 96 square centimeters

Substitute the values, we have;

Total surface area = 1/ 2 (40)(12) + 96

Total surface area = 240 + 96

Total surface area = 335 square centimeters

Hence, the value is 335 square centimeters

Learn more about total surface area here:

https://brainly.com/question/26638955

#SPJ1

Explanation:

The gradient is the same as the slope

m = slope

m = rise/run

m = (change in y)/(change in x)

m = (y2-y1)/(x2-x1)

m = (6-1)/(6 - (-4))

m = (6-1)/(6+4)

m = 5/10

m = 1/2

In decimal form, this becomes 0.5

A slope of 1/2 means we move up 1 and to the right 2 units each time to generate points along the diagonal line.

A positive slope goes uphill as we move to the right (due to the positive rise value).

Answer:

One way to find the gradient is using the expression :

\(m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{y_{B} - y_{A}}{x_{B} - x_{A}}\)

So \(m = \frac{6 - 1}{6- (-4)} =\frac{5}{10} =\frac{1}{2}\)

To determine the convergence or divergence of an alternating series, you can use the Alternating Series Test. This test states that if the terms of an alternating series decrease in absolute value and approach zero, then the series converges.

Additionally, if the terms do not approach zero, the series diverges.

To apply the Alternating Series Test, you need to check two conditions:

1. The terms of the series must alternate in sign.

2. The absolute value of the terms must decrease or approach zero.

If both conditions are satisfied, you can conclude that the alternating series converges. However, if either condition fails, the series diverges.

If you want to determine the convergence or divergence more precisely, you can use the Integral Test or the Comparison Test. The Integral Test allows you to compare the convergence or divergence of a series to the convergence or divergence of an improper integral. If the integral converges, the series converges, and if the integral diverges, the series diverges.

The Comparison Test is another method to determine the convergence or divergence of a series. It involves comparing the given series with a known series whose convergence or divergence is already known. If the known series converges and the terms of the given series are less than or equal to the corresponding terms of the known series, then the given series also converges. Conversely, if the known series diverges and the terms of the given series are greater than or equal to the corresponding terms of the known series, then the given series also diverges.

To know more about the Alternating Series Test, refer here:

https://brainly.com/question/30761258#

#SPJ11

The particular solution is:
yp(t) = -sin(4t)

To find a particular solution to the given differential equation y'' + 16y = -16 sin(4t), we will use the method of undetermined coefficients.

First, we will guess the form of the particular solution. Since the right-hand side is a sinusoidal function, our guess for the particular solution will be in the form:

yp(t) = A sin(4t) + B cos(4t)

Next, we need to find the first and second derivatives of yp(t):

yp'(t) = 4A cos(4t) - 4B sin(4t)
yp''(t) = -16A sin(4t) - 16B cos(4t)

Now, we will plug yp(t) and its derivatives into the given differential equation:

-16A sin(4t) - 16B cos(4t) + 16(A sin(4t) + B cos(4t)) = -16 sin(4t)

Simplify the equation:

16B cos(4t) = -16 sin(4t)

Now we can solve for the coefficients A and B:

B = 0 (since there is no cos(4t) term on the right-hand side)
A = -1 (since the coefficient of sin(4t) is -16)

So the particular solution is:

yp(t) = -sin(4t)

To learn more about sinusoidal function, refer below:

https://brainly.com/question/12060967

#SPJ11

The slope of a line perpendicular to this line is 3.5

From the question, we have the following parameters that can be used in our computation:

y = -2/7x + 3/7

Using the above as a guide, we have the following:

A linear equation is represented as

y = mx + c

Where

m = slope

So, we have

m = -2/7

The slope of perpendicular lines are opposite reciprocals

So, we have

new slope = -1/(-2/7)

Evaluate

new slope = 3.5

Hence, the slope of a line perpendicular to this line is 3.5

Read more about slope at

https://brainly.com/question/16949303

#SPJ1

Answer:

20n + 8

Step-by-step explanation:

Distribute the 4 to each term in the parenthesis:

4(5n+2)

(4)(5n) + (4)(2)

20n + 8

Answer: Plant A and plant B will be the same height at the end of week 12.

Step-by-step explanation: You don't care about this

Answer:

7 3/4 = 775%

Step-by-step explanation:

pls mark meh as brainliest!

Answer:

-10

Step-by-step explanation:

6 - [(-3 + 7) - [(-1 + 5 +8)]

6 - (4) - (12)

2 - 12

-10

Helping in the name of Jesus.

The option that gives chart elements a realistic, three-dimensional look is D. Plot Area.

The option that gives chart elements a realistic, three-dimensional look is the plot area. The plot area is the portion of the chart that displays the data points and is typically the main focus of the chart. Adding shading and depth to the plot area, can give the chart a more lifelike appearance and make the data more visually engaging. Additionally, three-dimensional charts can also be created by using specialized charting software that allows for the creation of 3D visualizations. These types of charts can be useful for highlighting patterns and trends in the data, especially when dealing with large datasets.
In a chart, the plot area is the space where the actual data points, bars, lines, or pie slices are displayed. By applying three-dimensional effects to the plot area, you can make the chart elements appear more realistic and visually appealing. This can enhance the viewer's understanding of the data being represented and make the chart more engaging.
In summary, to give chart elements a realistic, three-dimensional look, you should focus on the plot area (Option D). The axis (Option A), chart area (Option B), and legend (Option C) do not directly contribute to creating a three-dimensional appearance for the chart elements.

Visit here to learn more about chart elements:

brainly.com/question/5016723

#SPJ11

Step-by-step explanation:

x²-6x+9=0

using the almighty formula where a=1 , b=-6 , c=9

Answer:

roughly 73 candies in each basket

Step-by-step explanation:

multiply 4.5 by how many candies each bag has.

The interesting or surprising thing we can learn about converting between improper fractions and mixed numbers is that to know how large or small a fraction formed from mixed number.

A mixed number, or fraction is a number having two parts one is integer (whole number) and other is a proper fraction (having numerator is less than its denominator). An example of a mixed number is \(2\frac{1}{\\ 2} \\ \). An improper fraction is defined when the top number (numerator) is larger than the bottom number (denominator). For example, \( \frac{8}{5} \).

To change an improper fraction to a mixed number follow these steps.

The conversion between improper fractions and mixed numbers or mixed to improper is a best way to be able to understand fractions and recognize how large or small a fraction is.

For more information about improper fraction, visit :

https://brainly.com/question/28957298

#SPJ4

34+x+90 =180(Angle sum property of triangle )

124 +x =180

x= 180-124

x= 56

The solution to the initial value problem is y(t) = (y0 - (1/17)) cos(4t) + [(y'0 + (1/17))/4] sin(4t) + (1/17) e^(-t).

The characteristic equation for the homogeneous part of the differential equation is r^2 + 16 = 0, which has solutions r = ±4i. Therefore, the general solution to the homogeneous equation is:

y_h(t) = c_1 cos(4t) + c_2 sin(4t)

To find a particular solution to the nonhomogeneous equation, we can use the method of undetermined coefficients. Since the forcing function is e^(-t), a reasonable guess for the particular solution is y_p(t) = Ae^(-t), where A is a constant to be determined. Taking the first and second derivatives of this function, we have:

y_p'(t) = -Ae^(-t)

y_p''(t) = Ae^(-t)

Substituting these expressions into the differential equation, we get:

Ae^(-t) + 16Ae^(-t) = e^(-t)

Simplifying this equation, we get A = 1/17. Therefore, the particular solution is:

y_p(t) = (1/17) e^(-t)

The general solution to the nonhomogeneous equation is then:

y(t) = y_h(t) + y_p(t) = c_1 cos(4t) + c_2 sin(4t) + (1/17) e^(-t)

Using the initial conditions y(0) = y0 and y'(0) = y'0, we can solve for the constants c_1 and c_2:

y(0) = c_1 cos(0) + c_2 sin(0) + (1/17) e^(0) = c_1 + (1/17) = y0

y'(0) = -4c_1 sin(0) + 4c_2 cos(0) - (1/17) e^(0) = 4c_2 - (1/17) = y'0

Solving these equations for c_1 and c_2, we get:

c_1 = y0 - (1/17)

c_2 = (y'0 + (1/17) )/4

Therefore, the solution to the initial value problem is:

y(t) = (y0 - (1/17)) cos(4t) + [(y'0 + (1/17))/4] sin(4t) + (1/17) e^(-t)

Learn more about nonhomogeneous

brainly.com/question/13107146

#SPJ11