Performing the algorithm of Secant Method given below xi+1​=xi​−f(xi​)−f(xi−1​)f(xi​)(xi​−xi−1​)​,i=1,2,3,… find the approximations of exact root α=55​ of f(x)=x5−5. Use initial guesses x0​=0,x1​=1 Note: Fill out the Table using 4 significant digits after decimal point in calculations.

orangle marbles = 1

white marbles = 6

yellow marbles = 7

Total marbles = 1 +6 + 7 = 14

Probability of not getting a yellow = orange+ white / total = 1 + 6 / 14 = 7/14 = 1/2

Probability of not getting a orange = white + yellow / total = 6 +7 /14 = 13/14

probability of not getting a yellow and then not getting a

orange = 1/2 * 13/14 = 13/28

Step-by-step explanation:

5b²+39b=8

<=> 5b²+39b-8=0

(5b-1)(b+8)=0

b = ¹/5 or b = -8

b=-8 and b=1/5.

Answer:

Solution given:

5b²+39b=8

5b²+39b-8=0

try to do middle term factorization.

it needs 40 while multiplication and 39 when subtraction.

it is 40-1 and 40*1

now

doing middle term factorization

5b²+(40-1)b-8=0

5b²+40-b-8=0

take common from each 2 term

5b(b+8)-1(b+8)=0

again take common and keep remaining in another brackets

(b+8)(5b-1)=0

either

b=-8

or

b=1/5

Answer:

I believe the answer would be 30 people.

Step-by-step explanation:

To calculate the percentage out of a group of people or items, you just multiply the percent (in decimal form) by the amount of people you want it out of. For example: A 0.1% chance out of 1,000 people would be a chance and expectancy of 1 person out of those 1,000 people. In this case it's 3% for every person. 0.03 • 1,000 is 30.

Answer:

Step-by-step explanation:

I'll just write log for log base 10.  The important rules about logarithms we need to know are:

\( a \log b = \log( b^a) \)

\( \log a + \log b = \log( ab) \)

and at the end we'll need something like

\(\log a = \log b \implies a=b\)

Suitably armed we can begin,

\( \left( 1 + \dfrac{1}{2x} \right) \log 3 + \log 2 = \log (27 - 3^{1/x}) \)

First rule,

\( \log 3^{ 1 + 1/2x}  + \log 2 = \log (27 - 3^{1/x}) \)

Second rule,

\( \log 2(3^{ 1 + 1/2x})  = \log (27 - 3^{1/x}) \)

Third rule,

\( 2(3^{ 1 + 1/2x})  = 27 - 3^{1/x} \)

We can rewrite this to be a quadratic equation in \(y=3^{1/2x}\).

\(  6 (3^{1/2x})  = 27 -  (3^{1/2x})^2 \)

\(y^2 +6y - 27 =0\)

\((y - 3)(y+9)=0\)

\(y=3 \textrm{ or } y=-9\)

First solution:

\(3^{1/2x} = 3 = 3^{1}\)

\(1/2x = 1\)

\(1=2x\)

\(x = 1/2\)

Second solution,

\(3^{1/2x} = -9\)

No real powers of 3 will be negative, no solution here.

Answer: x=1/2

Check:  

1 + 1/2x = 2 so the left side is log 2(3²) = log 18

Right side, log(27-3^2) = log 18  √

The eccentricity of the ellipse is 0.25. The eccentricity of an ellipse can be determined using the formula.

eccentricity (e) = c / a,

where c is the distance from the center of the ellipse to one of its foci, and a is the length of the semi-major axis of the ellipse.

In this case, the length of the major axis is given as 28 units, which corresponds to twice the length of the semi-major axis (a). Therefore, we have:

a = 28 / 2 = 14 units.

The foci of the ellipse are located 3.5 units away from the center. Thus, we have:

c = 3.5 units.

Now we can calculate the eccentricity using the formula:

eccentricity (e) = c / a = 3.5 / 14 = 0.25.

Therefore, the eccentricity of the ellipse is 0.25.

In general, the eccentricity of an ellipse determines its shape. When the eccentricity is close to 0, the ellipse is nearly circular. As the eccentricity increases, the ellipse becomes more elongated and less circular. In this case, with an eccentricity of 0.25, the ellipse is moderately elongated but still retains a relatively circular shape compared to ellipses with higher eccentricities.

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Answer:

$10.40

Step-by-step explanation:

If each packet of hamburger buns contains 8 buns, and you need 64. You do 64/8 = 8

So you need 8 packets of buns

And $1.30 x 8 = $10.40

The angle measures are A, B, C, D are 35, 55,55,55.

According to the statement

we have given that the bridge is perpendicular to the two towers. a. Angle A is 35 degrees.

And we have to find that the measure of angles B, C, and D.

So, For this purpose, we know that the

Angle A is 35 degrees and hint given is that the all angles in a triangle add to 180 degrees.

So,

A + B + X = 180

we know that A = 35 and X = 90 and

35 + B + 90 = 180

B = 180 - 90 - 35

B = 55

And

Now we find that the another angle Y.

So,

A + B + Y = 180

35 + 55 + Y = 180

Y = 90

Then

In order to calculate C, you have to make an assumption that was not given in the problem. The assumption is that triangles ABX and YCZ are mirror images of each other.

Then,

B = C = 55

And

and also since they are similar triangles,

D = C = 55.

So, The angle measures are A, B, C, D are 35, 55,55,55.

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9514 1404 393

Answer:

Step-by-step explanation:

Rearrange as required.

The slope-intercept form is ...

  y = mx + b

Eliminating parentheses and solving adding 4 gives ...

  y -4 = -x -7

  y = -x -3 . . . . . . slope-intercept form

__

We can add the opposite of the x-term to get standard form:

  ax +by = c

  x + y = -3 . . . . . . standard form

Answer:

speak Spanish

Step-by-step explanation:

I"m sorry

to help

The variability in weight is 64 % , explained by the relationship with height  or the proportion of the variability in weight .

A correlation coefficient is a statistical indicator of how well one variable's changes predict changes in another's values. The value rises or falls together for variables with positive correlation. If the correlation coefficient is 1, then a predetermined percentage of the other variable will also increase as one variable's value goes up. In (nearly) exact association with foot length, for instance, shoe sizes increase.

given

Adults' height and weight have a 0.80 connection.

r = 0.8

The range of weight is, =  \(r^{2} = ( 0.8 )^{2} = 0.64\)

The link between weight and height can therefore account for 64% of the variation in weight.

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Answer:

2.3 inches

Step-by-step explanation:

v = lwh (volume equals length times width times height)

5.52 = 2.4 x 1 x d
multiply l and w, which is 2.4 x 1

5.52 = 2.4 x d
divide 5.52 by 2.4

2.3 = d

Answer: 2.12

Step-by-step explanation: Okay, you first add 2.4+1, which is obviously 3.4.

Then you subtract 5.52 by 3.4.

You should get 2.12.

I hope I helped. <3

The probability of Jose being the president and Ellen being the vice president in a committee of eight people choosing leaders at random is 1/56.

The probability of Jose being chosen as the president and Ellen being chosen as the vice president is:

P(Jose as president and Ellen as vice president) = P(Jose as president) * P(Ellen as vice president | Jose as president)

Since the assignments are made at random and there are no restrictions on who can be chosen for each position, the probability of Jose being chosen as president is 1/8, and the probability of Ellen being chosen as vice president, given that Jose is president, is 1/7 (since there are 7 remaining people who can be chosen for the position of secretary).

Therefore,

P(Jose as president and Ellen as vice president) = (1/8) * (1/7) = 1/56

So the probability that Jose is president and Ellen is vice president is 1/56.

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_____The given question is incomplete, the complete question is given below:

A committee of eight people must choose a president, a vice president, and a secretary.

Two of the committee members are Ellen and Jose. Assume the assignments are made at random. What is the probability that Jose is president and Ellen is vice president?

The total number of throws will be equal to 16.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The total number of throws will be calculated by adding all the throws,
Total throws = ( 3 / 5 ) + 15 + ( 2 / 5)

Total throws = ( 3 + 75 + 2) / 5

Total throws = 80 / 5

Total throws = 16

Therefore, the total number of throws will be equal to 16.

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Answer:

50%

Step-by-step explanation:

Answer: 50%

Step-by-step explanation:

31 is half of 62, so it was a 50% decrease.

Answer:

1 19/21

Step-by-step explanation:

1. Convert both mixed numbers into improper fractions:

2. Now we are doing 8/3 ÷ 7/5. We can use KCF to divide these fractions:

8/3 ÷ 7/5 → 8/3 × 5/7 = 40/21

3. Finally, convert 40/21 back into a mixed number: 1 19/21

Hope this helps

(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.

(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:

PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)

PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)

Taking the cross product of PQ and PR, we have:

n = PQ x PR = (9, 1, -2) x (10, 4, 1)

Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.

(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:

|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)

Evaluating the magnitude gives |n| = \(\sqrt\)(811).

The area of triangle PQR is then:

Area = |n| / 2 = \(\sqrt\)(811) / 2.

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Answer:

y = -5x + 1

Step-by-step explanation:

y - 6 = -5 (x + 1)

distribute -5 (x + 1) by multiplying

y - 6 = -5x - 5

than add 6 to both sides

y = -5x + 1

This is a false dilemma, also known as a black-and-white fallacy, which presents only two extreme options and assumes that there are no other alternatives.

In this case, the dilemma suggests that the only two choices for the Mitchells are to get a divorce or to stay married, and both options have negative outcomes. However, there may be other alternatives that are not considered in this dilemma, such as counseling, financial planning, or other ways to improve their relationship and financial situation.

A possible refutation could be constructing a counterdilemma, such as:

Are there no other alternatives for the Mitchells to consider besides getting a divorce or staying married? What if they sought professional counseling or financial advice to address their issues?

Are poverty and misery the only possible outcomes for the Mitchells if they get a divorce or stay married? What if they found ways to improve their financial situation or relationship while living apart or together?

By questioning the premise of the dilemma and considering other options, we can escape between the horns or grasp the situation by the horns and find a better solution.

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If the first odd integer is represented by x + 4, then the next two odd integers must be x + 6 and x + 8. When they are consecutive integers, they always have a difference of 2. Hence, 2 must be added to x + 2 to be a consecutive odd integer.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

The equation in point-slope form is: \(y+4=\frac{-1}{10}(x+1)\)

Step-by-step explanation:

Write the equation of the line that passes through the points (-1,-4) and (9,-5).

The point slope form is:  \(y-y_1=m(x-x_1)\)

Where m is slope and x₁ and y₁ are the points given

Finding Slope

Slope can be found of given points using formula:  \(Slope=\frac{y_2-y_1}{x_2-x_1}\)

We have  \(x_1=-1, y_1=-4, x_2=9, y_2=-5\)

Putting values and finding slope

\(Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-5-(-4)}{9-(-1)}\\ Slope=\frac{-5+4}{9+1}\\ Slope=\frac{-1}{10}\)

So, slope m = -1/10

Using point (-1,-4) and slope m = -1/10 the equation is:

\(y-y_1=m(x-x_1)\\y-(-4)=\frac{-1}{10}(x-(-1))\\y+4=\frac{-1}{10}(x+1)\)

So, the equation in point-slope form is: \(y+4=\frac{-1}{10}(x+1)\)

Answer:

\( \boxed{C}\)

Answer: −717x−7

Step-by-step explanation: Add −846 and 129 to get −717. −717x−7

Answer:

x=-1.29

Step-by-step explanation:

-717x-7=916

-717x=923

X=-1.29

NOTICE: THIS IS ROUNDED

The volume of the cylinder is approximately 478.9 cm3.

To find the volume of a cylinder, you can use the formula:

\(Volume = \pi r^2h\)

where r is the radius of the base of the cylinder and h is the height of the cylinder.

In this case, the radius of the cylinder is 1.045 cm and the height is 30.48 cm, so the volume is approximately 478.9 cm3. This is found by plugging the given values into the formula and rounding to the nearest tenth:

Volume = \(\pi (1.045 cm)^2(30.48 cm)\) = 478.9 cm3.

So, the volume of the cylinder is approximately 478.9 cm3.

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Complete Question:

A graduated cylinder (approximate as a regular cylinder) has a radius of 1.045 cm and a height of 30.48 cm. What is the volume of the cylinder in cm3 (use 3.141 for TT)? Round to the nearest tenths.

Answer:

y= -2x - 1

Step-by-step explanation:

Take two of the points given by the data in the table.

Using the x-values 1 and 2, they have a y-value of -3 and -5, respectively.

Therefore, we can write these out as coordinate points: (1, -3) and (2, -5).

The equation to find the slope of a line is:

Substitute these points into this formula to find the slope of this linear function.

Simplify and solve for the slope m.

The slope of this linear function is -2. Now, we can use this slope and substitute it into the point-slope equation along with another one of the points on the function.

Point-slope equation:

Substitute m = -2 and the point (1, -3) into this equation.

Simplify this equation and put it into slope-intercept form: \(y=mx+b\).

The equation of the linear function represented by the table is y = -2x - 1.

Answer:

y= -2x - 1

Step-by-step explanation:

Take two of the points given by the data in the table.

Using the x-values 1 and 2, they have a y-value of -3 and -5, respectively.

Therefore, we can write these out as coordinate points: (1, -3) and (2, -5).

The equation to find the slope of a line is:

Substitute these points into this formula to find the slope of this linear function.

Simplify and solve for the slope m.

The slope of this linear function is -2. Now, we can use this slope and substitute it into the point-slope equation along with another one of the points on the function.

Point-slope equation:

Substitute m = -2 and the point (1, -3) into this equation.

Simplify this equation and put it into slope-intercept form: .

The equation of the linear function represented by the table is y = -2x - 1.

Answer:

x= y=2

Because that's why the lines intercepts

The most effective type of graph to compare the shoe size of 4th grade students with their heights would be a scatter plot because it allows for the visualization of individual data points and the examination of their relationship.

A scatter plot is a type of graph where individual data points are plotted along two axes. In this case, the shoe size of 4th grade students can be represented on one axis (e.g., x-axis) and their heights on the other axis (e.g., y-axis). Each data point corresponds to a specific student and includes both their shoe size and height.

By plotting the data points on a scatter plot, we can observe the distribution and pattern of the relationship between shoe size and height. If there is a correlation between the two variables, it can be visually identified on the scatter plot. For example, if taller students tend to have larger shoe sizes, we would expect to see a general trend of data points sloping upwards from left to right.

The scatter plot allows the teacher to examine the individual data points and identify any outliers or patterns within the dataset. It provides a visual representation that facilitates a comprehensive understanding of the relationship between shoe size and height among the 4th grade students.

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Option A: defined quantities, option C: integers that are part of a mathematical equation, and option D: measurements that can be counted, are all kinds of numbers that are exact.

A value that is known with 100 percent confidence is called an exact number. In other terms, an exact integer has an infinite number of significant digits and zero uncertainty. It is impossible to simplify or reduce an exact number. Defined quantities like volume in liters, integers that are a part pf mathematical equation like 4π\(r^{3}\), and countable measurements such as the number of students is exact number that can be quantified.

Determining if a particular unit is an exact number can be challenging because not all units and their conversions have clear definitions. Since the SI base units have all been specified, they are all precise integers. Imperial units that are defined in accordance with the SI base units are likewise precise numbers.

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Complete question is:

What kinds of numbers are exact?

Check all that apply.

A) Defined quantities (e.g., 1000 mL in 1 liter).

B) The readings of the thermometer.

C) Integers that are part of a mathematical equation (e.g., 4πr33)

D) Measurements that can be counted, such as the number of students in class.

Answer:

two

Step-by-step explanation:

Diameter is 70m

Thus radius = half of diameter= 70/2 = 35meters

Angle of rotation (teta) = 280 degrees

The distance covered will be

The runner has traveled 171.06 meters