3) Find the root of f(x)= -1 in the interval [0,2] using the Newton-Raphson method f(zo) Co=Zo Xn+1 = An f(xn) f'(xn) f'(zo) or the iteration equation -
Answers
The root of f(x) = -1 in the interval [0,2] using the Newton-Raphson method is approximately 1.
To find the root using the Newton-Raphson method, we start with an initial guess, denoted as xo, which lies within the given interval [0,2]. We then iteratively refine this guess to get closer to the actual root. The iteration equation for the Newton-Raphson method is given by:
xn+1 = xn - f(xn) / f'(xn)
Here, f(x) represents the given function and f'(x) is its derivative. In this case, f(x) = -1. To find the derivative, we differentiate f(x) with respect to x. Since f(x) is a constant, its derivative is zero. Therefore, f'(x) = 0.
Now, let's proceed with the calculations. We choose an initial guess, say xo = 1, which lies within the interval [0,2]. Plugging this value into the iteration equation, we have:
x1 = xo - f(xo) / f'(xo)
= 1 - (-1) / 0
= 1
Since the denominator of the equation is zero, we cannot proceed with the iteration. However, we observe that f(1) = -1, which is the root we are looking for. Therefore, the root of f(x) = -1 in the interval [0,2] is approximately 1.
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Related Questions
9:45 on Tuesday Questions
Please Help Me Out! I am back with a handful of geometry questions. I would like you to answer this question and explain or show all of your work.
I will mark Brainlest for an accurate answer!
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If you would like to help me out some more, go check out my profile and answer the questions that have 9:45 on Tuesday Questions on them.
God Bless.
Answers
Answer:
Neither
Step-by-step explanation:
-12x + 3y = 3
y = 4x + 1
y = mx + b
The second equation given is set up in the correct form already (y = 4x + 1)
We have to convert the first equation into the same format
-12x + 3y = 3
Isolate the y
3y = 3 + 12x
Divide the 3 from the y and the other side
y = 1 + 4x
y = 4x + 1
This is the same as the first equation
They can only be parallel if their slope (m or 4 in this case) is the same and their y-intercepts (b or 1 in this case) are different. Since the equations are the exact same and do not fit the y-intercept criteria for parallel, they cannot be parallel. If they were perpendicular, their lines must cross. This means they have to contain reciprocals or opposite slopes. Our slope here for both of them is 4 or 4/1. Since neither are the opposite (which would be 1/4), it is not perpendicular. Therefore, the answer is neither
need quick help on this math problem
Answers
Answer:
Step-by-step explanation:
12
What is angle CBD
A=60
D=80
C=25
Answers
Answer:
m∠CBD = 55°
Step-by-step explanation:
Angles BDA and BDC form a linear pair:
⇒ m∠BDA + m∠BDC = 180°
⇒ 80° + m∠BDC = 180°
⇒ m∠BDC = 100°
Interior angles of a triangle sum to 180°:
⇒ m∠CBD + m∠BDC + m∠DCB = 180°
⇒ m∠CBD + 100° + 25° = 180°
⇒ m∠CBD + 125° = 180°
⇒ m∠CBD = 55°
Can someone help me please. I don’t know how to write the equation.
Answers
The ratio of the probability that an outcome occurs, over the probability that the outcome does not occur, gives the __________ of the outcome.
Answers
Answer: odds
Step-by-step explanation:
a recipe that serves 4 calls for 1 3/4 cups of tomato sauce. if jerry makes 2 1/2 time that amount, how many cups of tomato sauce will he need?
Answers
Answer:
4 3/8 cups
Step-by-step explanation:
Answer:
4 and 3/8 cups
Step-by-step explanation:
1 and 3/4 times 2 and 1/2
1 and 3/4 as a mixed number is 7/4 (4 x 1 = 4 + 3 = 7) (keep denominator)
2 and 1/2 as a mixed number is 5/2 (2 x 2 = 4 + 1 = 5) (keep denominator)
7/4 x 5/2 = 35/8
8 will go into 35 4 times. When you subtract 35-32, you have 3 left over and keep the denominator of 8. So, the answer is 4 and 3/8.
You find that the test statistic value is 0.41. Based on your critical region, what decision do you make regarding the null hypothesis (i.e. do you Reject H0 or Do Not Reject H0)
Answers
If the test statistic value falls within the critical region, we reject the null hypothesis (H0) at the given significance level (α).
If the test statistic value falls outside the critical region, we do not reject the null hypothesis.
To determine the decision regarding the null hypothesis based on a test statistic value and a critical region, we need to compare the test statistic value to the critical value(s) of the test.
Since the question does not provide information about the significance level or the directionality of the test, we cannot determine the critical region or make a decision about the null hypothesis based on the test statistic value alone.
More information is needed to interpret the result of the test.
At the specified significance level (), we reject the null hypothesis (H0) if the test statistic value is inside the crucial zone.
If the test statistic result is outside of the acceptable range, the null hypothesis is not rejected.
The test statistic value to the test's critical value(s) in order to decide whether to reject the null hypothesis based on a test statistic value and a crucial area.
We cannot establish the crucial area or choose the null hypothesis based only on the test statistic value since the question does not specify the significance level or directionality of the test.
To understand the test's outcome, more details are required.
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Aaron is baking cookies. The recipe uses 2 cups of flour to make 30 cookies. If Aaron wants to make 40 cookies, how many cups of flour should he use
plz answer asap.
Answers
Step-by-step explanation:
30 cookies = 2 cups
1 cookie = 2/30 cups = 1/15 cups
40 cookies = 1/15 × 40 = 8/3 cups
Find the gradient of the line
y = 4x - 3
Answers
Answer:
4
Step-by-step explanation:
Answer:
x= y+3/4 that's the answer I got
2) Solve, do not use quadratic formula4x²+7x-15=0
Answers
This time, you can use different methods to solve the quadratic expression
Let's use factoring to solve this equation.
\(\begin{gathered} (4x)^2+7(4x)-60=0 \\ (4x+12)(4x-5)=0 \\ 4x+12=0 \\ 4x=-12 \\ x=-\frac{12}{4} \\ x=-3 \\ 4x-5=0 \\ 4x=5 \\ x=\frac{5}{4} \end{gathered}\)The solutions of this expression are x=-3 and x=5/4.
Other method you can use instead of quadratic formula is the graphing method. You graph the expression on a graphing calculator and the x intercepts of the graph are the solutions of the expression.
I rlly need help! pleas help quick!
Answers
Answer:
2^9 or 512
Step-by-step explanation:
Answer:
2 to the power of 8 times 2 is 512.
Step-by-step explanation:
Kylie and Reuben are on the same mountain side with a uniform slope connecting the two of them. Find the point that is exactly halfway in-between Kyle and Reuben along the slope of the mountain.
Answers
Let's assume that Kylie is located at point A and Reuben is located at point B. Then, the midpoint M of the line segment AB can be found by using the midpoint formula:
M = ((x1 + x2)/2, (y1 + y2)/2)
where (x1, y1) and (x2, y2) are the coordinates of points A and B, respectively.
Since the mountain slope is uniform, we can assume that the line connecting Kylie and Reuben is a straight line. Therefore, we can use the coordinates of the two points to find the equation of the line in slope-intercept form:
y = mx + b
where m is the slope of the line and b is the y-intercept.
To find the slope of the line, we can use the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of points A and B, respectively.
Let's assume that Kylie is located at point (x1, y1) = (a, b) and Reuben is located at point (x2, y2) = (c, d). Then, the slope of the line can be calculated as:
m = (d - b) / (c - a)
Once we have the slope of the line, we can find the y-intercept b by substituting the coordinates of one of the points (e.g., point A) and the slope into the slope-intercept equation:
b = y1 - mx1
Now we have the equation of the line in slope-intercept form, so we can find the coordinates of the midpoint M by plugging in the x-coordinate of the midpoint and solving for the y-coordinate:
M = ((a + c)/2, (b + d)/2)
Therefore, the point that is exactly halfway in-between Kylie and Reuben along the slope of the mountain is M = ((a + c)/2, (b + d)/2).
Blake has a total of 11,000 to invest in two accounts. one account earns 4% simple interest, and the other earns 5% simple interest. how much should be invested in each account to earn exactly $490 at the end of 1 year?
Answers
Blake should invest $6,000 at 4% interest and the remaining $5,000 (11000 - 6000) at 5% interest to earn exactly $490 at the end of 1 year.
Let's denote the amount of money Blake invests at 4% interest as "x" (in dollars) and the amount he invests at 5% interest as "11000 - x" (since the total investment is $11,000).
To earn interest, we can use the formula: Interest = Principal × Rate × Time
For the 4% interest account, the interest earned is:
0.04x × 1 (1 year) = 0.04x
For the 5% interest account, the interest earned is:
0.05(11000 - x) × 1 (1 year) = 550 - 0.05x
According to the problem, the total interest earned is $490. Therefore, we can set up the equation:
0.04x + (550 - 0.05x) = 490
Simplifying the equation:
0.04x + 550 - 0.05x = 490
-0.01x + 550 = 490
-0.01x = -60
x = 6000
Blake should invest $6,000 at 4% interest and the remaining $5,000 (11000 - 6000) at 5% interest to earn exactly $490 at the end of 1 year.
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the mean and the standard deviation of a normal population are called statistics . the mean and the standard deviation of a random sample from a population are called .
Answers
The mean and standard deviation of a normal population are called parameters, and the mean and standard deviation of a random sample in the population are called statistics.
Normally distributed data:
In a normal distribution, data is distributed symmetrically without asymmetry the data are probabilities whose distribution is symmetrical with respect to the mean.
The normal distribution is symmetric, unimodal and asymptotic, and the mean, median and mode are all equal.
In statistics, standard deviation is a measure of the amount of variation or distribution of a set of values. A low standard deviation indicates that the values tend to be close to the ensemble mean (also called the expected value), while a high standard deviation indicates that the values are spread over a wide range.
For solving the problems are :
The average of the data is the average of the given data. The standard deviation of the data is half the difference between the highest value in the data set and the mean.
These numbers that summarize information about a sample are called statistics.
The numbers that summarize information about a population are called parameters.
Numbers that summarize information about a sample are called statistics.
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Answer:
(B) Parameters
(A) Statistics
Step-by-step explanation:
egg 2023
I need both answers now please and don answer if u don’t know
Answers
Answer:3048.7804878
Step-by-step explanation:
I took the same test p.s. you may need to round.
Angle B and angle C are complementary. If angle B is five times the size of angle C what is the measurements of both angles.
Answers
Step-by-step explanation:
Let Angle C be x
So angle B will be 5x
Since they both are complementary, we can come up with this equation.
x+5x=90 degrees
6x=90 degrees
x=90/6,x=15
Measures of Angles
Angle C=x=15 degrees
Angle B=5x=5*15=75 degrees
PLEASE FOLLOW ME AND MARK AS BRAINILIEST
Help me with questions 5 and 7 please show your work !
Answers
Answer:
5) x = 77
7) b = 210
Step-by-step explanation:
5) 11 = X/7
multiply both sides by 7. doing this gets rid of the 7 on the right side of the equation.
(7)(11) = x
77 = x
7) 14 = b/15
same thing as above! multiply both sides by 15.
(15)(14) = b
210 = b
Hope this helps you!
insert a monomial in the place of * so that the result is an identity:
(*-b^4)(b^4+*)=121a^10-b^8
100m^4-4n^6=(10m^2-*)(10m^2+*)
m^4-225c^10=(m^2-*)(*+m^2)
PLS PLS HURRY THANK YOU
Answers
a. There is no value of the missing monomial that will satisfy the equation.
b. The missing monomial is ±2
c. The missing monomial is ±15
What is monomial?
A polynomial with only one word is called a monomial. An algebraic expression known as a monomial typically has one term, but it can also have numerous variables and a greater degree.
The given equations can be solved by using the algebraic identity:
(a+b)(a-b) = a² - b²
Using this identity, we can determine the missing monomials in each equation:
1. (-b⁴)(b⁴+)=121a¹⁰-b⁸
Expanding the left-hand side of the equation, we get:
()b⁴ - b⁸ + b⁴() - b⁸() = b⁴() - b⁸(*)
Since the right-hand side of the equation is 121a¹⁰ - b⁸, we can equate the coefficients of b⁸ and a¹⁰ on both sides of the equation:
Coefficient of b⁸:
-1 = -1
Coefficient of a¹⁰:
0 = 121
The coefficient of a¹⁰ is not equal, which means that there is no value of the missing monomial that will satisfy the equation.
2. 100m⁴ - 4n⁶=(10m²-)(10m²+)
Using the algebraic identity, we can write:
(10m² - *)(10m² + ) = (10m²)² - ()²
= 100m⁴ - (*)²
Since the left-hand side of the equation is 100m⁴ - 4n⁶, we can equate the coefficients of m⁴ and n⁶ on both sides of the equation:
Coefficient of m⁴:
100 = 100
Coefficient of n⁶:
-4 = - (*)²
Solving for the missing monomial:
(*)² = 4
(*) = ±2
Therefore, the missing monomial is ±2, and the equation can be written as:
100m⁴ - 4n⁶ = (10m² - 2)(10m² + 2)
3. m⁴ - 225c¹⁰ = (m² - )( + m²)
Using the algebraic identity, we can write:
(m² - )( + m²) = (m²)² - (*)²
= m⁴ - (*)²
Since the left-hand side of the equation is m⁴ - 225c¹⁰, we can equate the coefficients of m⁴ and c¹⁰ on both sides of the equation:
Coefficient of m⁴:
1 = 1
Coefficient of c¹⁰:
-225 = - (*)²
Solving for the missing monomial:
(*)² = 225
(*) = ±15
Therefore, the missing monomial is ±15, and the equation can be written as:
m⁴ - 225c¹⁰ = (m² - 15)(15 + m²)
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Compare the process of solving |x – 1| + 1 15. Pretty pretty please answer this I will make you brainliest!!
Answers
Answer:
Both absolute values would need to be isolated first.
You would need to write a compound inequality for each.
Both compound inequalities would compare
x – 1 to –15 and 15.
The inequality with “<” would use an “and” statement, while the “>” would use an “or” statement.Step-by-step explanation:
Answer:
Answer:
Both absolute values would need to be isolated first.
You would need to write a compound inequality for each.
Both compound inequalities would compare
x – 1 to –15 and 15.
The inequality with “<” would use an “and” statement, while the “>” would use an “or” statement.Step-by-step explanation:
Step-by-step explanation:
find the values of x and y
Answers
Answer:
x = 8 degrees ; y= 12 degrees
Step-by-step explanation:
HELP!!! this is due today and i’m super dumb all help is much appreciated!
Answers
Answer:
No
Step-by-step explanation:
It is never a right triangle unless it says so, it normally has a little square box thing on the angle that is right
Write an equation in point-slope form for the line that passes through the point with the given slope.
Answers
Answer:
Slope: 3
Equation: y + 2 = 3(x + 1)
Step-by-step explanation:
Find the slope using (-1, -2) and (0, 1):
\( slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - (-2)}{0 - (-1)} = \frac{3}{1} = 3 \)
Slope (m) = 3
The equation can be represented in point-slope form, y - b = m(x - a)
Where,
(-1, -2) = (a, b)
m = 3
Plug in the values into y - b = m(x - a)
y - (-2) = 3(x - (-1))
y + 2 = 3(x + 1)
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!!!!!
Answers
Answer: what question
Step-by-step explanation:
1. Find the numbers a, b, c such that
2x4 + 2x3 +5x2 + 3x + 3 = (x2 + x +1)(ax2+bx+c)
for all values of x.
Answers
Answer:
a = 2
b = 0
c = 3
Step-by-step explanation:
if I understand correctly the problem should look like
2x⁴ + 2x³ + 5x² + 3x + 3 = (x² + x + 1)(ax² + bx + c)
let's calculate the right side
ax⁴ + ax³ + ax² + bx³ + bx² + bx + cx² + cx + c
as there is only one term of x⁴, we know a = 2
as there is only one term without any x, we know c = 3
now we get
2x⁴ + 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x + 3
remember, that is equal to
2x⁴ + 2x³ + 5x² + 3x + 3
after subtracting 2x⁴ and 3 from both sides we get
2x³ + 5x² + 3x = 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x
we subtract 2x³ and 3x from both sides and get
5x² = 2x² + bx³ + bx² + bx + 3x² = 5x² + bx³ + bx² + bx
we subtract 5x² from both sides and get
0 = bx³ + bx² + bx
=> b must be 0 to make this true for all values of x
Can someone please help me?
Answers
a + 12a = 330
Add like terms
13a = 330
a = 25.38
25.38 * 12 = 304.56
Round up -> 305
305 children attend
What's 2|–9| – |–2|?
Question 7 options:
A)
–18
B)
20
C)
16
D)
–20
Answers
Answer: C) 16
Step-by-step explanation:
= 2(9) - 2
= 18 - 2
= 16
Answer:
16, C
Step-by-step explanation:
|-9| is 9
|-2| is 2
2*9 - 2
18-2
16
a square pyramid is constructed so that the height has length x 2 and the sides of the base have length x . write an expression for the volume of the pyramid in terms of x .
Answers
The volume of the square pyramid in terms of x is (1/3) * x^4.
The volume V of a square pyramid can be calculated using the formula:
V = (1/3) * Base Area * Height
In this case, the base of the pyramid is a square with side length x, so the base area is given by:
Base Area = x^2
The height of the pyramid is given as x^2, so substituting these values into the volume formula, we have:
V = (1/3) * x^2 * x^2
Simplifying, we get:
V = (1/3) * x^4
Therefore, the volume of the square pyramid in terms of x is (1/3) * x^4.
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Ana and her friends are hiking a trail that is 814 miles long. They want to finish the trail in 3 hours. How many miles must they hike each hour?
Answers
Answer:
hvkffjbcxdecfvgbhjnredfghjm
Step-by-step explanation:
fgchjbnkkkkk
Number 2.
A homeowner is wanting to pave his
drive way. He was quoted for every 240
bricks it would cost $30. Find the unit
rate.
Answers
The graph of a quadratic function with vertex (1, -3) is shown in the figure below.
Find the domain and the range.
Write your answers as inequalities, using x or y as appropriate.
Or, you may instead click on "Empty set" or "All reals" as the answer.
Answers
Check the picture below.
