Answers
Answer:
28 i think
Step-by-step explanation:
Related Questions
If x=(y+2)^2 and y= -7 then what is the value of x
Answers
Answer:
25
Step-by-step explanation:
(y+2)^2=x
(-7+2)^2=x
(-5)^2=x
(-5)(-5)=x
25=x
Hope that helps :)
Answer:
x=25
Step-by-step explanation:
Plug it innnn plug it innnn
Write a Matlab code to solve the following problems. 1-use Bisection Method x3 + 4x2 - 10 = 0 for x = [0,5] x3 - 6x2 + 10x - 4 = 0 for xe [0,4] 2-Use Newton Method x3 + 3x + 1 = 0 for x = (-2,0] 3-Use fixed point Method x3 - 2x - 1 = 0 for x E (1.5,2] 4-Use secant Method 1-2e -* - sin(x) = 0 for x € (0,4] 2-x3 + 4x2 - 10 = 0 for x € [0,4]
Answers
a) Bisection Method MATLAB code for equation [tex]x^3 + 4x^2 - 10 = 0[/tex] in the interval [0,5]:
function root = bisection_method()
f = [tex]x^3 + 4*x^2 - 10[/tex];
a = 0;
b = 5;
tol = 1e - 6;
while (b - a) > tol
c = (a + b) / 2;
if f(c) == 0
break;
elseif f(a) * f(c) < 0
b = c;
else
a = c;
end
end
root = (a + b) / 2;
end
b) Bisection Method MATLAB code for equation [tex]x^3 - 6x^2 + 10x - 4 = 0[/tex] in the interval [0,4]:
function root = bisection_method()
f = [tex]x^3 - 6*x^2 + 10*x - 4[/tex];
a = 0;
b = 4;
tol = 1e-6;
while (b - a) > tol
c = (a + b) / 2;
if f(c) == 0
break;
elseif f(a) * f(c) < 0
b = c;
else
a = c;
end
end
root = (a + b) / 2;
end
c) Newton's Method MATLAB code for equation [tex]x^3 + 3x + 1 = 0[/tex] in the interval (-2,0]:
function root = newton_method()
f = [tex]x^3 + 3*x + 1[/tex];
df = [tex]3*x^2 + 3[/tex];
[tex]x_0[/tex] = -1;
tol = 1e-6;
while abs(f([tex]x_0[/tex])) > tol
[tex]x_0 = x_0 - f(x_0) / df(x_0)[/tex];
end
root = [tex]x_0[/tex];
end
d) Fixed-Point Method MATLAB code for equation [tex]x^3 - 2x - 1 = 0[/tex] in the interval (1.5,2]:
function root = fixed_point_method()
g = [tex](x^3 - 1) / 2[/tex];
[tex]x_0 = 2[/tex];
tol = 1e-6;
while abs([tex]g(x_0) - x_0[/tex]) > tol
[tex]x_0 = g(x_0)[/tex];
end
root = [tex]x_0[/tex];
end
e) Secant Method MATLAB code for equation 1 - 2*exp(-x) - sin(x) = 0 in the interval (0,4]:
function root = secant_method()
f = 1 - 2*exp(-x) - sin(x);
[tex]x_0[/tex] = 0;
[tex]x_1[/tex] = 1;
tol = 1e-6;
while abs(f([tex]x_1[/tex])) > tol
[tex]x_2 = x_1 - f(x_1) * (x_1 - x_0) / (f(x_1) - f(x_0))[/tex];
[tex]x_0 = x_1[/tex];
[tex]x_1 = x_2[/tex];
end
root = [tex]x_1[/tex];
end
f) Secant Method MATLAB code for equation [tex]2 - x^3 + 4*x^2 - 10 = 0[/tex] in the interval [0,4]:
function root = secant_method()
f = [tex]2 - x^3 + 4*x^2 - 10[/tex];
[tex]x_0 = 0[/tex];
[tex]x_1 = 1[/tex];
tol = 1e-6;
while abs(f([tex]x_1[/tex])) > tol
[tex]x_2 = x_1 - f(x_1) * (x_1 - x_0) / (f(x_1) - f(x_0))[/tex];
[tex]x_0 = x_1[/tex];
[tex]x_1 = x_2[/tex];
end
root = [tex]x_1[/tex];
end
How to find the MATLAB code be used to solve different equations numerically?MATLAB provides several numerical methods for solving equations. In this case, we have used the Bisection Method, Newton's Method, Fixed-Point Method, and Secant Method to solve different equations.
The Bisection Method starts with an interval and iteratively narrows it down until the root is found within a specified tolerance. It relies on the intermediate value theorem.
Newton's Method, also known as Newton-Raphson Method, approximates the root using the tangent line at an initial guess. It iteratively refines the guess until the desired accuracy is achieved.
The Fixed-Point Method transforms the equation into an equivalent fixed-point iteration form. It repeatedly applies a function to an initial guess until convergence.
The Secant Method is a modification of the Newton's Method that uses a numerical approximation of the derivative. It does not require the derivative function explicitly.
By implementing these methods in MATLAB, we can numerically solve various equations and find their roots within specified intervals.
These numerical methods are powerful tools for solving equations when analytical solutions are not feasible or not known.
Learn more about MATLAB
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multiply
12 times 1/3?
Answers
Answer:
4
Step-by-step explanation:
12(1/3)
so it is just 12/3 which is 4
Hope that helps :)
12 / 3 = 4
1.333 x 12 = 4
Find the total surface area.
Answers
Answer:
SA = 48 cm²
Step-by-step explanation:
SA = (3x12) + (4x3) = 48 cm²
Euler's formula, v − e + f = 2, relates the number of vertices (v), the number of edges (e), and the number of faces (f) of a polyhedron. Solve Euler's formula for v.
a) v = e + f + 2
b) v = e + f - 2
c) v = e - f - 2
d) v = e - f + 2
Answers
Euler's formula, v − e + f = 2, relates the number of vertices (v), the number of edges (e), and the number of faces (f) of a polyhedron.
Therefore, the correct option is (d) v = e - f + 2.
To solve Euler's formula for v, we'll have to isolate v on one side of the equation. The first step is to add e to both sides of the equation:
v − e + f + e = 2 + e
v + f = e + 2
Now subtract f from both sides of the equation:
v + f - f = e + 2 - f
v = e + 2 - f
Hence, the solution for Euler's formula for v is:
v = e + 2 - f
Therefore, the correct option is (d) v = e - f + 2.
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plssssssss help solve
Answers
Answer:
cosine = adjacent/hypotenuse
cos A = 20/29 (choice: yellow)
Step-by-step explanation:
Answer:
yellow
Step-by-step explanation:
Create a real-world application and its complete solution that requires concepts of linear algebra.
Answers
Real-World Application: Image Compression: Image compression is a fundamental concept in the field of computer graphics and image processing.
Linear algebra plays a crucial role in various image compression techniques. Let's consider a complete solution for image compression using concepts of linear algebra.
Image Representation:To begin, we need to represent the image as a matrix. Each pixel in the image can be represented as a vector of color intensities. For example, in an RGB image, each pixel can be represented as a vector [R, G, B]. The entire image can then be represented as a matrix, where each row corresponds to a pixel vector.
Discrete Cosine Transform (DCT):
DCT is a widely used technique in image compression. It converts the spatial information of the image into frequency information. The DCT operation can be represented using a matrix multiplication. Let's assume our image matrix is A. We can calculate the DCT coefficients by performing the following operation:
D = T * A * T^T,
where T is the DCT transform matrix and D is the matrix of DCT coefficients.
Quantization:
Quantization is the process of reducing the number of unique values in the DCT coefficient matrix. It involves dividing the matrix elements by a quantization matrix. The quantization matrix determines the level of compression. By adjusting the values of the quantization matrix, we can control the trade-off between image quality and compression ratio.
Entropy Coding:
After quantization, we can apply entropy coding techniques to further reduce the size of the compressed image. Entropy coding is based on the statistical properties of the data. Techniques like Huffman coding or arithmetic coding can be used to assign shorter codes to frequently occurring DCT coefficients and longer codes to less frequent ones.
Reconstruction:
To reconstruct the compressed image, we reverse the compression steps. First, we perform the inverse entropy coding to obtain the quantized DCT coefficients. Then, we perform the inverse quantization by multiplying the quantized coefficients with the quantization matrix. Finally, we apply the inverse DCT operation to obtain the reconstructed image matrix.
Lossless/Lossy Compression:
The level of compression can be adjusted based on the application requirements. If lossless compression is desired, the quantization step is skipped, and the original image can be exactly reconstructed. However, if lossy compression is acceptable, quantization is performed, resulting in some loss of image quality.
Linear algebra concepts, such as matrix operations and transformations, are fundamental to every step of the image compression process outlined above. By applying these techniques, we can achieve efficient storage and transmission of images while balancing the trade-off between image quality and compression ratio.
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A kindergarten teacher asked the students' parents to send their child to school with two fruits (apples and/or oranges). Below are the combinations of fruits brought to class the next day.
Fruit
2 Apples : 9 students
1 Apple and 1 Orange : 4 students
2 Oranges : 8 students
What is the frequency of oranges in the classroom? Round your answer to 4 decimal places.
Answers
The frequency of oranges in the classroom can be calculated as follows:Frequency of oranges in the classroom = Total number of oranges / Total number of fruits= 16/42 = 0.3809 (rounded to 4 decimal places)Thus, the frequency of oranges in the classroom is approximately 0.3809.
To determine the frequency of oranges in the classroom, we need to calculate the proportion of students who brought oranges out of the total number of students.
First, let's calculate the total number of students:
Total students = Number of students with 2 apples + Number of students with 1 apple and 1 orange + Number of students with 2 oranges
Total students = 9 + 4 + 8 = 21
Next, let's calculate the number of students who brought oranges:
Number of students with oranges = Number of students with 1 apple and 1 orange + Number of students with 2 oranges
Number of students with oranges = 4 + 8 = 12
Finally, we can calculate the frequency of oranges:
Frequency of oranges = Number of students with oranges / Total students
Frequency of oranges = 12 / 21 ≈ 0.5714 (rounded to 4 decimal places)
Therefore, the frequency of oranges in the classroom is approximately 0.5714.
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To determine the frequency of oranges in the classroom, it is important to add up the total number of fruits brought to the classroom. The given information is as follows:
2 Apples: 9 students
1 Apple and 1 Orange: 4 students
2 Oranges: 8 students
Thus, the frequency of oranges in the classroom is approximately 0.2105.
Total number of fruits = 2(9) + 1(4) + 2(8)
= 18 + 4 + 16
= 38 fruit in total
So, total number fruits are 38.
Frequency of oranges = Number of oranges / Total number of fruits
There are 8 oranges brought to class, so the frequency of oranges is:
8 / 38 ≈ 0.2105 (rounded to 4 decimal places)
Hence, the frequency of oranges in the classroom is approximately 0.2105.
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Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). f(x) = -x² + 4x-9 f'(x) =
Answers
The derivative of f(x) = -x² + 4x - 9 is f'(x) = -2x + 4. Evaluating f'(x) at x = 1, 2, and 3 gives f'(1) = 2, f'(2) = 0, and f'(3) = -2. To find the derivative of the function f(x) = -x² + 4x - 9, we will use the four-step process.
After applying the process, we obtain the derivative f'(x) = -2x + 4. Evaluating this derivative at x = 1, x = 2, and x = 3 gives us f'(1) = 2, f'(2) = 0, and f'(3) = -2.
The four-step process involves the following steps:
1. Begin by applying the power rule, which states that the derivative of [tex]x^n[/tex] is [tex]nx^{(n-1)[/tex], where n is a constant. In this case, we have -x², so the derivative becomes -2x.
2. Apply the power rule to the next term, which is 4x. The derivative of 4x is 4.
3. Since -9 is a constant term, its derivative is zero.
4. Combine the derivatives obtained in steps 1, 2, and 3 to find the overall derivative of the function f(x). In this case, f'(x) = -2x + 4.
To find the values of f'(1), f'(2), and f'(3), we substitute the corresponding values of x into the derivative function.
When x = 1, f'(1) = -2(1) + 4 = 2.
When x = 2, f'(2) = -2(2) + 4 = 0.
When x = 3, f'(3) = -2(3) + 4 = -2.
Therefore, the derivative of f(x) is f'(x) = -2x + 4, and the values of f'(1), f'(2), and f'(3) are 2, 0, and -2, respectively.
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What are the first, second, and third quartiles from the set of
data: (3,4,5,6,7,37,100)?
Answers
The first, second, and third quartiles from the set of data (3,4,5,6,7,37,100) include the following:
Q₁ = 4.
Q₂ = 6.
Q₃ = 37
How to determine the statistical measure of the data set?Based on the data set, the first quartile (Q₁) can be calculated as follows;
Q₁ = [(n + 1)/4]th term
Q₁ = (7 + 1)/4
Q₁ = 2nd term
Q₁ = 4.
For the second quartile (Q₂), median, or 50th percentile, we have the following:
second quartile (Q₂) = 4th term
second quartile (Q₂) = 6.
For the third quartile (Q₃), we have:
Q₃ = [3(n + 1)/4]th term
Q₃ = 3 × 2nd term
Q₃ = 6th term
Q₃ = 37
In conclusion, a box plot for the given data set is shown in the image attached below.
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Nick is curious about which cell phone provider is most used by his neighbors. He asks several neighbors about their provider and draws a conclusion based on the answers he received. What kind of statistical study did Nick conduct? A. survey B. experiment C. observational study D. theoretical study
Answers
Answer:
A. Survey
Step-by-step explanation:
Answer:
Option A. Survey
Step-by-step explanation:
What is survey?
Survey is defined as the act of examining a process or questioning a selected sample of individuals to obtain data about a service, product, or process.
Nick collected samples and then concluded his answer which is a survey he conducted.
Correct answer is Option A.
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What is the perimeter of AOJL?
3
Ρ 2
K
M
9
Answers
Answer:
dunno.
Step-by-step explanation:
duno
explanation: letters belong in english not math i hate math
Evaluate the algebraic expression5m + 4n – 3 whenm=3 and n=4. Show your work.
Answers
Answer:
Given, m = 3 and n = 4
5×3 + 4×4 – 3
15 + 16 - 3
31 - 3
28
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A box contains 3 red and 7 green marbles. If 9 marbles are drawn without replacement, what is the expected number of red marbles?
Answers
The expected number of red marbles is 197/240.
Given that a box contains 3 red and 7 green marbles. If 9 marbles are drawn without replacement, we need to determine the expected number of red marbles.
The total number of marbles in the box = 3 + 7 = 10The probability of selecting a red marble at the first draw = 3/10
The probability of selecting a red marble at the second draw = 2/9
The probability of selecting a red marble at the third draw = 1/8
∴ The expected number of red marbles = Probability of selecting a red marble at the first draw + Probability of selecting a red marble at the second draw + Probability of selecting a red marble at the third draw= 3/10 + 2/9 + 1/8= (216 + 240 + 135) / (10 * 9 * 8)= 591/720= 197/240
Hence, the expected number of red marbles is 197/240.
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The given information is: A box contains 3 red and 7 green marbles. If 9 marbles are drawn without replacement, what is the expected number of red marbles?The expected number of red marbles can be found as follows:
Let us assume that X is a random variable, that represents the number of red marbles drawn from the box.
If we want to calculate the expected value of X, then we can use the formula:E(X) = Σ(xP(x))Where Σ(xP(x)) is the sum of all possible outcomes, multiplied by their respective probabilities.
The probability of drawing a red marble on the first draw is 3/10.
The probability of drawing a red marble on the second draw is 2/9, since there are only 2 red marbles left out of 9 marbles total.
The probability of drawing a red marble on the third draw is 1/8, since there are only 1 red marble left out of 8 marbles total.
Since we are drawing 9 marbles without replacement, we need to multiply all these probabilities together to get the probability of drawing a certain sequence of red and green marbles.
P(X = k) represents the probability of drawing k red marbles out of 9 marbles.Using the formula: E(X) = Σ(xP(x))E(X) = Σ(kP(X = k))k ranges from 0 to 3.
So, the expected value of red marbles is:E(X) = 0P(X = 0) + 1P(X = 1) + 2P(X = 2) + 3P(X = 3)E(X) = 0 + 1(3/10)(6/9)(5/8) + 2(3/10)(2/9)(5/8) + 3(3/10)(2/9)(1/8)E(X) = 0 + 0.27917 + 0.0625 + 0.01406E(X) = 0.35573
Therefore, the expected number of red marbles is approximately 0.356.
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How many 5 bills seth has
Answers
Answer:
22= 6(1x+5x)
Step-by-step explanation:
He could have 4 $5 bills and 2 $1 bills.
Answer:
he has 4 $5 bills
Step-by-step explanation:
22 - 2 = 20
20 divided by 4 = 5
so 4 $5 bills and 2 $1 bills
2 Which expressions can be used to find the volume of the rectangular prism?
3 ft
5 ft
7 ft
apply.
5
35 + 5
35 x 3
(7 + 5) x3
7+3+5
35 + 35 + 35
Answers
Answer:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
A rotating lawn sprinkler sprays water in a circular area of grass, as shown in the
picture. The diameter of the circular area of grass is 16 ft. what is the closest measurement to the area in square feet ?
Answers
Answer:
Area of the lawn = 64π square feet
Step-by-step explanation:
Area of the circular lawn = πd²/4
d is the diameter of the lawn = 16ft
Substitute the given value into the formula
Area = π(16)²/4
Arrea of the lawn = 256π/4
Area of the lawn = 64π square feet
What is the probability of rolling a number less than 4 on a number cube labeled 1 trough 6?!
Answers
Answer:
3/6
Step-by-step explanation:
1 2 and 3 are less than 4 so only 3 numbers
What is the value of 3^2? (3^2 means 3 raised to the second power.)
Answers
Answer:
9
Step-by-step explanation:
a) give stating reasons five other angles each equal to x
b) prove that AECF is a parallelogram
Answers
Simple Proof:
a) In the image, we know that ABCD is a parallelogram and that means opposite angel measures should be the same. We know that angel DCB is made up by angel 1 and 2, and angel DAB and DCB are equal and angel DAB is made up by angel 1 and x. So now we can conclude that angel x is equal to angel 2.
b) According to the definitions of a parallelogram, opposite angel measures have to be the same, while AECF have angle 1 to angel 1 and angel 2 to angel 1. We can conclude that AECF is NOT a parallelogram. (Sorry, you didn't give me the full question so some information remains unclear. )
Mrs. Canales has 1,248 student pictures to displayaround the school. She plans to put them on 24 poster boards with the same amountof pictures on each poster board. How many student pictures will Mrs.Canales place on each poster board?
Answers
Answer:
52
Step-by-step explanation:
Its simple, its just division because she is asking how many for EACH(key word) so 1,248/24 equals 52 giving your answer.
mark brainliesttt??
at traget a 5 pack of gaterade cost 8.78 how much would 21 packs of gatorade cost
Answers
Answer:
21 packs of gatorade would cost $36.88.
Step-by-step explanation:
Mathematically:
8.78 / 5 = 1.756
1.756 * 21 = 36.876 ~= $36.88
Find the volume of the con round you answer to the nearest tenth
Answers
Answer:
16.76 inch³
Step-by-step explanation:
volume of cone is 1/3 πr²h
h=4
r=2
then 1/3* 22/7* 2*2 *4
=352/21
=16.76
¿can you help me, please?
Answers
9 ft =_________in. How many inches????
Answers
108 inches
hope this helped <3
If the mode of the data 2,3,3,5,7,7,6,5, x and 8 is 3. Then what is the value of 'x'.
Answers
Answer:
x = 3
Step-by-step explanation:
Given that,
The mode of the data 2,3,3,5,7,7,6,5, x and 8 is 3.
We need to find the value of x.
We know that, Mode is the number in a data with Max frequency. x can be 3 or 7. If x = 7, mode becomes 7 and if x = 3, mode equals 3.
Hence, the value of x is equal to 3.
Which shows a correct way to determine the volume of the right rectangular prism?
Answers
Answer:
the last answer
Step-by-step explanation:
[tex]V=l*w*h\\l=8\\w=9\\h=1\\V=8*9*1\\V=72[/tex]
8 x 1 x 9= 72
An electrician bent a section of copper wire into a partial circle as shown. The dimensions are
given in feet (ft).
2.5 f
880
2.5
ft
What is the length of the section of wire to the nearest hundredth of a foot?
Answers
Answer:
Length = 3.84 feets (nearest hundredth)
Step-by-step explanation:
The length of section of wire can be obtyaiejd using the length of of a arc formular :
Length of arc = θ/360° * 2πr
Radius, r = 2.5 feets
Length of arc = (88/360) *2πr
Length of arc = (88/360) * 2π*2.5
Length of arc = 0.244444 * 15.707963
Length of arc = 3.8397
Length = 3.84 feets (nearest hundredth)
Answer:
Step-by-step explanation:
3.84
HELP !!
In a sequence of numbers, a4=9, a5=15, a6=21, a7=27, and a8=33.
Which recursive rule can be used to find the nth term of the sequence, an?
a1=−9; an=an−1+6
a1=−9; an=6an−1
a1=9; an=an−1+6
a1=9; an=6an−1
Answers
Answer:
Given sequence:
a₄=9, a₅=15, a₆=21, a₇=27, and a₈=33Common difference is:
33-27 = 27 - 21 = 21 - 15 = 15 - 9 = 6Find the first term:
a₃ = 9 - 6 = 3a₂ = 3 - 6 = - 3a₁ = -3 - 6 = -9Recursive formula:
a₁ = -9 and aₙ = aₙ₋₁ + 6Correct choice is A
Algebra 2 PLEASE HELP
Answers
Answer:
[tex]\frac{x+20}{x+4}[/tex]
Step-by-step explanation:
Can't cancel out terms like that
need to factor out the top and bottom
[tex]\frac{x^{2} +16x-80}{x^{2} -16}[/tex] = [tex]\frac{(x+20)(x-4)}{(x-4)(x+4)}[/tex] now cancel out the (x-4) from the top and bottom
= [tex]\frac{x+20}{x+4}[/tex]
Answer & Explanation:
Error: individual terms in an equation in a fraction cannot be directly canceled out.
Correction:
the easy way (solve the quadratic equation in the numerator and complete the square in the denominator):
(x^2 + 16x - 80) / (x^2 - 16)
(x+20)(x-4) / (x+4)(x-4)
x+20 / x+4
the complicated way (manipulate the exponents and common factors):
(x^2 + 16x - 80) / (x^2 - 16)
(x^2 - 4x + 20x - 80) / x^2 - 2^4
x(x^2-1 - 2^2)+4*5(x - 2^4-2) / (x - 2^2)(x + 2^2)
x(x-4)+20(x-4) / (x-4)(x+4)
x(x-4)+(2^2 (5))(x-4) / (x-4)(x+4)
(x-4)(x + 2^2 (5)) / (x-4)(x+4)
(x-4)(x+20) / (x-4)(x+4)
x+20 / x+4