change the function f(x) and interval a=1/3 , b=1 in above code (remaining same code) in the iteration
clear all;
s=1200;
h=20;
f(x)= x-2^(-x) ;
a=1/3;
b=1;
format long
eps_ abs = 0.000005;
eps_ step = 0.000005;
n=0;
while ((b - a)/2 >= eps_ step || ( abs( f(a) ) >= eps_ abs && abs( f(b) ) >= eps_ abs )&& n~=100 )
n=n+1;
c = (a + b)/2;
if ( f(c) == 0 )
break;
else if ( f(a)*f(c) < 0 )
b = c;
else
a = c;
end
err=abs( (b-a)/2);
end
n
c
err
out put
n = iteration
learn more about of iteration here
https://brainly.com/question/14896131
#SPJ4
The graph shows a line and four points that pass through it. у (12,5) (1,3) (3,2) (0, a) What are the values of a and b, and what is an equation
The equation of the line passing through the points (1, -9), and (-3, -9) is y = -9.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
Points are (1,3) and (3,2)
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
m = 2 - 3 / 3 - 1
m = -1/2
The equation of the line is given as
y - y₁ = m (x - x₁)
y - 3 = -1/2(x - 1)
y = -1/2x + 1/2 + 3
y = -1/2x + 7/2
As point (0, a) lies on the line, so
a = -1/2(0) + 7/2
a = 7/2
Thus, the required value of a is given as 7/2 and the equaiton of the line is y = -1/2x + 7/2.
Learn more about slopes here:
https://brainly.com/question/3605446
#SPJ1
Use the graph below to answer this question: graph of line going through negative 2, negative 3 and 1, 3 Find the average rate of change for the given function from x = 1 to x = 2.
Average rate of change for the given function is 2.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Given that the graph is a line. So the function is linear.
Average rate of change of a linear function is equal to the slope of the given function, and it will be a constant at any two points on the line.
We have two points from the line (-2, -3) and (1, 3).
Slope of a line with two points (x, y) and (x', y') is,
slope = (y' - y) / (x' - x)
Slope of the given function with two points (-2, -3) and (1, 3) is,
Slope = (3 - -3) / (1 - -2) = 6/3 = 2
Average rate is same value from x = 1 to x = 2.
Hence the average rate of change is 2 for the given function.
Learn more about Slope here :
https://brainly.com/question/2027055
#SPJ1
if (x,y) is a solution to these equations, what is x y?
If (x,y) is a solution to equations y = x² and 2y+6 = 2(x+3) , then the value of xy is (a) 1 .
The values of x and y are solutions to two equations:
⇒ y = x² ....equation(1)
⇒ 2y + 6 = 2(x + 3) ....equation(2)
To find the value of xy, we first need to find the values of x and y which satisfy both equations.
We can put value of y from the equation(1) into the equation(2) :
⇒ 2y + 6 = 2(x + 3)
⇒ 2x² + 6 = 2(x + 3)
⇒ 2x² + 6 = 2x + 6
⇒ 2x² - 2x = 0
⇒ 2x(x - 1) = 0
that means either "2x=0" or "x-1=0" ;
⇒ x = 0 or x = 1 .
when x = 1 , we have y = (1)² = 1 .
So , the product is = 1 × 1 = 1 .
Therefore , the value of xy is (a) 1 .
The given question is incomplete , the complete question is
If (x,y) is a solution to equations y = x² and 2y+6 = 2(x+3) , what is the value of xy ?
(a) 1
(b) 2
(c) 3
(d) 9
Learn more about Solutions here
https://brainly.com/question/25358733
#SPJ4
Bob's Gift Shop sold 400 cards for Mother's Day. One salesman, Genesis, sold 2% of the cards sold for Mother's Day. How many cards did Genesis sell?
Answer:
Step-by-step explanation:
400x2% of that amont would equal 800
Which set of measures could NOT be the side lengths of a right triangle ? 18 cm, 24 cm, 30 cm 10 cm, 20 cm, 30 cm 30 cm, 40 cm, 50 cm 30 cm, 72 cm, 78 cm
Answer:
The answer is c. 30 cm, 40 cm, 50 cm. This set of measures could not be the side lengths of a right triangle, as it does not satisfy the Pythagorean theorem. The Pythagorean theorem states that the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the square of the hypotenuse (50 cm) is not equal to the sum of the squares of the other two sides (30 cm and 40 cm).
Step-by-step explanation:
Which graph represents an exponential function?
Step-by-step explanation:
I cannot see the diagram at the bottom, so I cannot tell you a correct answer
What is concave up and down?
If f′ is growing, the f graph is concave up on the interval. In the event that f′ is decreasing, the f graph is concave down on the interval. This has been obtained by using the concept of derivatives.
What are derivatives?
In mathematics, a quantity's instantaneous rate of change with respect to another is referred to as its derivative. Investigating the fluctuating nature of an amount is beneficial.
Assume that f is differentiable on interval I.
If f′ is increasing, the f graph is concave up on I. In the event that f′ is decreasing, the f graph is concave downward on I. The graph of f is considered to have no concavity if f′ is constant.
Hence, concave up is when f' is increasing and when it is decreasing, it is concave down.
Learn more about derivatives from the given link
https://brainly.com/question/23819325
#SPJ4
A bookstore sells 10 books for $122.50. Which table represents the relationship
between number of books and the total price?
A
C
Books
1
11
21
Cost
$12.25
$22.25
$32.25
Books Cost
10
$122.50
20
$132.50
30
$142.50
B
D
Books Cost
10
$122.50
11
$134.75
12
$147
Books
1
2
3
Cost
$12.25
$13.25
$14.25
Answer:
D
Books Cost
10
$122.50
11
$134.75
12
$147
Step-by-step explanation:
The table format is all messed up but I was able to figure out the numbers.
Since 10 books cost $122.50, each book must cost $122.50/10 = $12.25
For 1 book => 10 x $12.25 = $122.50
For 11 books => 11 x $12.25 = $134.75
For 12 books => 12 x $12.25 = $147
Answer choice is D which perfectly fits the numbers
Identify the real fifth root(s) of -32.
-2
-1
0
2
2 and 2
3 and -3
4 and 4
no real roots
2 is the fifth root of 32.
What is 32 to the fifth power?Using the problem as a starting point, we may write the equation as x5=32 x 5 = 32. This equation has to have a solution. The log function can be used to both sides of the equation. Therefore, the right response is 2.
What is meant by a number's root?A. In mathematics, the term "root" refers to a number that, when multiplied by itself, equals the original number.. Because 49 is created by multiplying 7 by itself twice in this instance, we refer to 7 as the square root of 49. Since 333=27, the cube root of 27 is 3.
[tex]\sqrt[5]{32}[/tex]
[tex]\sqrt[5]{2*2*2*2*2}[/tex]
= 2
To know more about real fifth root visit:-
https://brainly.com/question/16569935
#SPJ1
i attached the work on the screen pls help me
5/w/>4
> 45
If all real numbers are solutions, click on "All reals".
If there is no solution, click on "No solution".
0
<
V
No
solution
X
>
and
18
OSO
☐or O
All
reals
S
The solution to the inequality 5/w > 4/45 is given as follows:
w < 56.25.
How to solve the inequality?The inequality for this problem is defined as follows:
5/w > 4/45.
Applying cross multiplication, we have that:
4w < 45 x 5
w < 45 x 5/4
w < 56.25.
The solution is found similarly to an equality, isolating the desired variable. The difference is that the solution is composed by infinity values in a range of values, instead of a finite number of values.
More can be learned about inequalities at https://brainly.com/question/25275758
#SPJ1
Lost on this one think anyone can help me with the following problem: (1,204 -299) ÷ 1?
Answer:
Step-by-step explanation:
solve what's in the parenthesis.
1,204-299=905
so....
905/1
answer is: 905.
if you would like, use a website called Desmos graphing calculator.
its a calculator of all subjects, and it graphs.
Katya owns two cockatoos, an older white cockatoo and a younger Galah cockatoo. At present, the sum of the cockatoos’ ages is 44 years. In n years, where n > 0, the white cockatoo’s age will be four times the Galah cockatoo’s age. If n is an integer, determine the possible present ages of each cockatoo.
Part A: Given the function g(x) = |x + 3|, describe the graph of the function, including the vertex, domain, and range. (5 points)
Part B: If the parent function f(x) = |x| is transformed to h(x) = |x| − 2, what transformation occurs from f(x) to h(x)? How are the vertex and range of h(x) affected?
The characteristics of the absolute value functions in this problem are given as follows:
A. The graph of the function was shifted 3 units left, having vertex at (-3,0), domain all real values and range [0, ∞).=B. The graph of the function was shifted 2 units up, having vertex at (0,2), domain all real values and range [2, ∞).What is the definition of the absolute value function?The absolute value function is defined by the following rule:
f(x) = |x - h| + k.
For which:
The vertex is at (h,k).The domain is all real values.The range is [k, ∞).For item a, we have that h = -3, meaning that the function was shifted 3 units left, and then:
The vertex is at (h,0), as h = -3, while there was no change to k.
The domain is all real values, as is the standard for the absolute value function.
The range is [0, ∞), as there was no vertical shift.
For item b, we have that k = 2, meaning that the function was shifted 2 units up, and then:
The vertex is at (0,2), as k = -2, while there was no change to h.
The domain is all real values, as is standard.
The range is [2, ∞), due to the vertical shift of k = 2 moving the graph 2 units up.
Read more about vertex and domain here:
https://brainly.com/question/56877
#SPJ1
Geometry triangle proofs, please help
∠DEF ≅ ∠FHG as, The other two corresponding angles are equal.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
Given, Are two triangles DEF and FGH.
DE || FG so the m∠D = m∠F.
Therefore, The sides opposite to ∠D and ∠F are equal and they are
EF and GF.
Given, m∠E = m∠G>
Therefore, The measure of angle D is equal to the measure of angle F.
learn more about congruency here :
https://brainly.com/question/7888063
#SPJ1
Which of the following best describes the correct interpretation of a p-value resulting from a statistical test?
A) The probability of an event occurring given that the null hypothesis is true
B) The probability of an event occurring given that the alternative hypothesis is true
C) The likelihood that you will reject the alternative hypothesis
D) The likelihood that your sample calculation captures the true population statistic
The p-value in this example would be 1 - 0.99865 = 0.00135.
A p-value is a measure of how likely it is to observe a result from a statistical test, given that the null hypothesis is true. It is calculated by taking the probability of the observed result under the assumption of the null hypothesis, then subtracting this probability from 1.
Formula:
P-value = 1 - Probability(observed result | null hypothesis)
For example, if the observed result is that the mean of a sample is 5 and the null hypothesis states that the mean is 3, the p-value is calculated by taking the probability of observing a mean of 5 or greater under the assumption that the mean is 3. This probability can be calculated from a standard normal distribution table by looking up the z-score corresponding to the mean of 5 and subtracting it from the total area under the curve (which is equal to 1).
Therefore, the p-value in this example would be 1 - 0.99865 = 0.00135.
By interpreting the p-value, we can determine the likelihood that the observed result would occur given that the null hypothesis is true. In this example, the p-value of 0.00135 indicates that it is very unlikely that the mean of the sample would be 5 or greater if the true mean is 3. Therefore, we can reject the null hypothesis and conclude that the true mean is not 3.
Learn more about null hypothesis here:
https://brainly.com/question/28920252
#SPJ4
5. Alex placed 8 blue tiles and 12 red tiles in a container. He plans to draw a tile, record its color, and replace it in the container before drawing another. Suppose Alex does this 50 times. How many times should he expect to draw a red tile?
(a). 8
(b). 12
(c). 20
(d). 30
He must anticipate drawing a red tile. 30 times minimum.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Given this, Alex placed 8 blue tiles and 12 red tiles in a container. He plans to draw a tile, record its color, and replace it in the container before drawing another.
Let X be the number of times a red tile is drawn from the container
Number of red tiles = 12
Total tiles = 12 + 8 = 20
p = P(randomly drawing a red tile) = 12/20 = 0.6
n = 50 number of draws or trials
Since Alex replaces the tile before he draws the next tile, we can model
the distribution of X according to Binomial Distribution
Thus, X ~ Binomial with n = 50 and p = 0.6
The Expected value of a binomial variable is E(X) = np
E(X) = n * p
= 50 * 0.6
= 30
therefore, he should expect to draw a red tile At least 30 times.
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ1
A sample of 100 clients of an exercise facility was selected. Let x = the number of days per week that a randomly selected client uses the exercise facility.
The number that is 1.5 standard deviations below the mean is 1.55 (rounded to three decimal places).
To find : The number that is 1.5 standard deviations below the mean
We need to first calculate the mean and standard deviation of the random variable X.
First, let's find the mean. The mean, also known as the expected value, is calculated as follows:
[tex]Mean = (1 * 15 + 2 * 30 + 3 * 28 + 4 * 10) / 100 = 2.8[/tex]
Next, let's find the variance, which is calculated as:
[tex]Variance = ( ( (1 - 2.8)^2 * 15) + ( (2 - 2.8)^2 * 30) + ( (3 - 2.8)^2 * 28) + ( (4 - 2.8)^2 * 10) ) / 100 = 0.72[/tex]
Finally, the standard deviation is calculated as the square root of the variance:
[tex]SD = \sqrt{0.72} = 0.85[/tex]
Now that we have the mean and standard deviation, we can calculate the number that is 1.5 standard deviations below the mean:
[tex]Number = Mean - 1.5 * SD = 2.8 - 1.5 * 0.85 = 1.55[/tex]
So, the number that is 1.5 standard deviations below the mean is 1.55 (rounded to three decimal places).
Learn more about mean :
https://brainly.com/question/21800892
#SPJ4
The complete question is :
A sample of 100 clients of an exercise facility was selected. Let X = the number of days per week that a randomly selected client uses the exercise facility.
X Frequency
0 2
1 13
2 31
3 29
4 11
5 7
6 7
Find the number that is 1.5 standard deviations BELOW the mean. (I also have to round the answer to three decimal places.)
what is 1/6 with an exponent of 4 as a fraction simplest form
The value of fraction in simplest form is, 1/1296.
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
We have to given that;
⇒ 1/6 with an exponent of 4.
Now, We can simplify as;
⇒ (1/6)⁴
⇒ 1 / 6⁴
⇒ 1/ 6×6×6×6
⇒ 1 / 1296
Thus, The value of fraction in simplest form is, 1/1296.
Learn more about the fraction visit:
https://brainly.com/question/5454147
#SPJ1
find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 3 5 x2, y = 8 5 − x2; about the x-axis
4071.5 is the volume v of the solid .
How is volume measured?
The 3-dimensional space that is occupied by matter or surrounded by a surface is measured in volume, which is expressed in cubic units.
A derived measure called the cubic meter (m3) serves as the SI unit of volume.
Limits of intgration: 18 - x2 = x2; 2x2 = 9; x = ±3;
V = π∫-33[(18 - x2)2 - (x2)2]dx
= 2π∫03(324 - 36x2)dx
= 2π(324x - 12x3)03
= 1296π
= 4071.5
Learn more about Volume
brainly.com/question/1578538
#SPJ4
what is the value of b in the diagram
A - 0.8
B - 1
C - 1.8
D - 2.2
On, solving the provided question, we can say that from the provided number line, the value of b is = 1
what is number line?A number line is a visual representation of real numbers used in introductory mathematics. It is an image of a magnitude line. On the number line, each point represents a real number, and each real number is taken to represent a point. Increments on a number line are separated by equal distances. You can only respond to the numbers on a line in the manner indicated by those numbers. How the number is utilized is determined by the question that goes with it. B: Make a point.
from the provided number line,
the value of b = 13/8 - 5/8 =
1.625 - 0.625 = 1
To know more about number line visit:
https://brainly.com/question/13425491
#SPJ1
What ordered pairs are the solutions of the system of equations shown in the graph below?
NEED HELP ASAP
Answer:
(-4, -8) and (0, -5)
Step-by-step explanation:
For a point to be a solution, both equations on a graph must intercept. In other words, if they cross at the same point, then they are a solution.
From what I see in the screenshot, it looks like the parabola and line at points (-4, -8) and (0, -5). Therefore, they should be the two solutions in the system of equations.
Hope this helps.
find the expression for the function f when the differential equation is put into the form y ( n ) = f ( x , y , y ' , y ' ' , ... , y ( n − 1 ) )
F(x, y, y', y",..., y(n-1)) is the expression for the function f.
1. Rewrite the given differential equation as y (n) = f (x, y, y', y",..., y (n 1)).
2. Identify y as the dependent variable, y', y",..., y(n-1), as the derivatives of y up to order n-1. X is the independent variable.
3. The right-hand side of the equation, f(x,y,y',y",...,y(n-1)), provides the expression for the function f.f(x,y,y',y",...,y(n-1)) is the expression for the function f, where x is an independent variable, y is the dependent variable, and y', y",...,y(n-1) are y's derivatives up to order n-1. The right-hand side of the equation provides the expression for the function f when the differential equation is written as y (n) = f (x, y, y', y",..., y (n 1)). Consequently, f is a function of x, y, y', y",..., and y. (n-1). The differential equation is resolved using this expression for f.
Learn more about expression here
https://brainly.com/question/14083225
#SPJ4
A shirt that costs $20 is on sale for 20% off. What is the discounted price of the shirt?
well, 100% - 20% = 80%, so the discounted price is really 80% of the original 20 bucks, what's 80% of 20?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{80\% of 20}}{\left( \cfrac{80}{100} \right)20}\implies \text{\LARGE 16}[/tex]
To do this you would do
$20 times (20/100) to get $20*(.20) = $4 which is the discounted price.
%(Percent) means "a specified amount in or for every hundred." In this case 20 for every 100.
IN achool 25% of the teacher teach baic math if there are 50 bauc math teacher how many teacher are there in the chool
There are 200 teachers in a school.
To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100, also defines a fraction or a ratio in which the value of the whole is always 100
Given information is
25 % of the teachers teach basic math, there are 50 basic math teachers
To calculate how many teachers are there in the school.
Let the total number of teachers =c
Number of basic maths teacher=50
Percentage of teachers of basic math = 25
According to question
25% of x=50
0.25*x=50
x=200
Hence the total number of teachers is 200
To know more about Percentage:
https://brainly.com/question/11336992
#SPJ4
In a study of unemployment, the department of labor statistics wants to determine the true unemployment percentage within 2 percentage points. How large a sample will they need if they plan to create a 99% confidence interval but still maintain their accuracy?
A. 2480 people
B. 2421 people
C. 4103 people
D. 4160 people
The required sample need if they plan to create a 99% confidence interval but still maintain their accuracy is 4160.
What is Statistic?Statistics is the study of mathematics that deals with relations between comprehensive data.
Here,
The sample size is given as,
n = p × q × (Z/E)²
Assume the estimate for population proportion,
p = 0.5
Now,
q = 1 - p
q = 1 - 0.5
q = 0.5
Confidence level = 99%
Z value = 2.58
The margin of error,
E = 0.02
The sample size is given as,
Substitute the value in equation 1.
n = 0.5×0.5×(2.58/0.02)²
n = 4160
Thus, the required sample need if they plan to create a 99% confidence interval but still maintain their accuracy is 4160.
Learn more about Statistics here: https://brainly.com/question/23091366
#SPJ1
What is 2x=9?find what x represents
Answer:
4.5
Step-by-step explanation:
2 time 4.5 is 9
Answer: x=4.5
Step-by-step explanation:
2x=9
2*x=9, now flip the 2, and make it division.
x=9/2
x=4.5
amelia’s bank account earns interest annually. the equation shows her starting balance of $200 and her balance at the end of four years, $220.82. at what rate, r, did amelia earn interest?
Answer: $50
Step-by-step explanation:
15. What is the length of the diagonal for the given rectangular prism to the nearest whole unit?
0 10 cm
011 cm
06 cm
O13 cm
Length = 8 cm
Width =3 cm
Height = 7 cm
c = 11.05 ≈ 11 cm. When the diagonal length for the rectangular prism is given is to the nearest whole unit, the correct answer is B.
what is length ?A quantity known as length has the ability to calculate approximate distance between two areas. In addition to height the breadth, it creates an object's length. Children will learn about length in math lessons to help them solve practical challenges both inside and outside of the classroom. the length or width that is possible to measured; a thing's greatest or longest dimension. 10 feet in length. Table of Metric units, Metric System Table: The length characteristic. The quantity or measurement between two points is the definition of length. In other words, a geometric arrangement or object's largest two or highest three dimensions.
given
Start by calculating the length of the base's diagonal using the Pythagorean theorem:
a² + b² = c²
Fill in the equation with the length and width:
8² + 3² = c²
64 + 9 = c²
73 = c²
c ≈ 8.54 cm
Using our estimated diagonals for the base and the height, we can now determine the prism's diagonal's length. Apply the same formula:
(8.54)² + 7² = c²
73 + 49 = c²
122 = c²
√122 = c
c = 11.05 ≈ 11 cm. When the diagonal length for the rectangular prism is given is to the nearest whole unit, the correct answer is B.
To know more about length visit :-
https://brainly.com/question/30100801
#SPJ1
Rachel uses 8. 3 pints of blue paint and white paint to paint her bedroom walls. 2 5 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
She used 7.90 paint with white paint on her bedroom walls.
To solve such problems we must know about fractions and subtraction.
Fraction
A fraction is a way to describe a part of a whole, the amount of white paint Jane used is 7.4 pints.
Given to us,
Total paint used my Jane = 8.3 pints = 83/10 pints,
the amount of blue paint = 2/5 pints,
Amount of white paint
amount of white paint = Total paint used - the amount of blue paint
=83/10-2/5
=83/10-2*2/5*2
=83/10-4/10
=79/10
=7.9pints
Hence, the amount of white paint Jane used is 7.9pints.
To know more about fractions and subtraction:
https://brainly.com/question/12302430
#SPJ4