Answer:
Step-by-step explanation:
Newton’s Method!!!!!!
The approximate value of x using the newton method is 0.7
Calculating the value of x using the newton methodFrom the question, we have the following expression that can be used in our computation:
\(\frac{x}{x^2+1}-\sqrt{1-x}\)
Also, we have the function f(x) to be
\(f(x) = x(x^2+1)^{-1} -\sqrt{1-x}\)
And we have the differentiated function to be
\(f'(x) = \frac{1}{x^2+1} - \frac{2x^2}{(x^2 + 1)^2} + \frac{1}{2\sqrt{1-x}}\)
The value of x using the newton method is given as
\(x_n = x_{n-1} - \frac{f(x_{n-1})}{f'(x_{n-1})}\)
Set \(x_{n-1}\) = 0
So, we have
x₁ = 0 - -1/1.5 = 0.67
x₂ = 0.67 - undefined = undefined
So, we have
x₁ = 0.67
When approximated, we have
x = 0.7
This means that the value of x using the newton method is 0.7
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Deana's Deli has a mean delivery time of 23 minutes with a standard deviation of 2 minutes. Determine the z-score for the number of sandwiches delivered in less than 24 minutes. −0.5 0.5 11.5 12
Answer:
o.5
Step-by-step explanation:
A football coach is trying to decide: When a team is ahead late in the game,
which strategy is better?
Play the "regular" defense.
Play a "prevent" defense that guards against long gains but makes short
gains easier.
The coach reviews the outcomes of 100 games.
Win
Loss
Total
Regular defense
42
8
50
Prevent defense
35
15
50
Total
77
23
100
Compare the probability of winning when playing regular defense with the
probability of winning when playing prevent defense. Draw a conclusion
based on your results.
You are more likely to win by playing regular defense.
What is probability?The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%. The more likely it is that the event will occur, the higher its probability.
Assume out of 100 reviewed games, there were 50 regular defense games and 50 prevent defense games. And out of 50 regular defense games, 38 were won, 12 were lost.
And out of 50 prevent defense game, 29 were won, 21 were lost.
Probability to win the game by playing regular defense is:
P(win | regular) = 38/50 = 0.76
Probability to win the game by playing prevent defense is:
P(win | prevent) = 29/50 = 0.58
Since the probability of winning by regular defense game is more than prevent defense game (0.76 > 0.58),
Hence, you are more likely to win by playing regular defense.
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A 6.5 ft. Tall car, parked next to a truck, casts a 33.2 ft. Shadow. If the truck casts a shadow that is 51.5 ft. Long then how tall is the truck? Round to the nearest tenth.
Answer: The truck is 10.0 ft tall.
Step-by-step explanation:
In a particular time ,
Shadow of an item is proportional to its height.
Equation of direct proportion: \(\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}\)
Similarly,
\(\dfrac{\text{height of truck}}{\text{shadow made by truck}}=\dfrac{\text{height of car}}{\text{shadow made by car}}\\\\\Rightarrow\ \dfrac{\text{height of truck}}{51.5}=\dfrac{6.5}{33.2}\\\\\Rightarrow\ \text{height of truck} = \dfrac{6.5}{33.2}\times51.2\approx10.0\text{ ft}\)
Hence, the truck is 10.0 ft tall.
Find the inverse function in slope -intercept form (mx + b) f(x) = - 5x + 15
Answer:
Pick either point (-6, 24) or (7,-15) and plug the x and y values into the above equation along with the value of m to get b.
Step-by-step explanation:
solve the equation. (find only the real solutions. enter your answers as a comma-separated list.) 5x2 10x 4
After changing the form the equation becomes 5x (x + 2) = 4.
What is an equation?An is a mathematical statement composed of two expressions joined by an equal sign. An equation is 3x - 5 = 16. By solving this equation, we obtain the value of the variable x as x = 7.We cannot solve the equation as the value of x is not given but we can change its form.
Given equation is 5x² + 10x - 4.
Then,
5x² + 10x - 4 = 05x² + 10x = 45x (x + 2) = 4 (Take 5x as common)Therefore, after changing the form the equation becomes 5x (x + 2) = 4.
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The correct question is given below:
solve the equation. (find only the real solutions. enter your answers as a comma-separated list.)
5x² + 10x - 4
Two lines that intersect and are not parallel
Answer:
Perpendicular
Step-by-step explanation:
"Two distinct lines intersecting each other at 90° or a right angle are called perpendicular lines."
URGENT!
Solve This:
There are a total of 58 reindeer and elves helping Santa get ready for Christmas. Each reindeer has 4 legs and each elf has 2 legs. Frosty the Snowman, who doesn’t have any legs, counted 158 legs when all the reindeer and elves were in Santa’s workshop helping Santa. How many elves are helping Santa? Enter your answer as a number only.
The number of elves that are helping Santa is 37.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 7 is an equation.
We have,
Number of legs reindeer have = 4
Number of legs elf have = 2
Total number of reindeer and elves = 58
Total legs = 158
Number of elves = x
Number of reindeer = y
We will make two equations.
4y + 2x = 158 _____(1)
x + y = 58 _____(2)
From (2) we get,
x = 58 - y _____(3)
Putting (3) in (1) we get,
4y + 2(58 - y) = 158
4y + 116 - 2y = 158
2y = 158 - 116
2y = 42
y = 21
Putting y = 21 in (3)
x = 58 - 21
x = 37
Thus,
The number of reindeer is 21.
The number of elves is 37.
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An equation of the line tangent to y = x3 + 3x2 + 2 at its point of inflection is: O y=-3x+1 y=-6x-6 O y=2x+10 O y=3x-1
The equation of the line tangent to the function y = x^3 + 3x^2 + 2 at its point of inflection is: y = -3x - 6.
To find the equation of the line tangent to the function y = x^3 + 3x^2 + 2 at its point of inflection, we need to determine the derivative of the function and evaluate it at the point of inflection. First, let's find the derivative of y with respect to x: dy/dx = 3x^2 + 6x. The point of inflection occurs where the second derivative of the function changes sign. Taking the derivative of dy/dx, we have: d^2y/dx^2 = 6x + 6. Setting d^2y/dx^2 equal to zero and solving for x, we find: 6x + 6 = 0; x = -1. At x = -1, the point of inflection is (-1, y) on the original function. To find the slope of the tangent line at this point, we substitute x = -1 into the derivative: dy/dx = 3(-1)^2 + 6(-1) = -3. So, the equation of the line tangent to the function at its point of inflection is: y = mx + b, where m is the slope and b is the y-intercept. Plugging in the values, we have: y = -3x + b
To find b, we substitute the coordinates of the point of inflection (-1, y):y = -3(-1) + b; y = 3 + b. Since the point of inflection lies on the line, we can substitute the y-value and solve for b: 3 + b = x^3 + 3x^2 + 2; b = -6. Therefore, the equation of the line tangent to the function y = x^3 + 3x^2 + 2 at its point of inflection is: y = -3x - 6.
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An airplane pilot over the Pacific sights an atoll at an angle of depression of 5° At this time, the horizontal distance from the airplane to the atoll is 4629 meters. What is the height of the plane to the nearest meter?
====================================================
Explanation:
The angle adjacent to the 5 degree angle is 90-5 = 85 degrees
Or you could note that 85+5 = 90.
Then from here you'd use the tangent ratio
tan(angle) = opposite/adjacent
tan(85) = 4629/x
x*tan(85) = 4629
x = 4629/tan(85)
x = 404.985 approximately
x = 405 meters when rounding to the nearest whole number.
4) Find the missing measurement using the
formula provided. Round your solution to
the nearest tenth.
Area = ( xw
7.8 in
? in
Area = 60.8 in?
Answer:
Step-by-step explanation:
Given the formula for calculating the area as;
A = xw
x is the length
w is the width
Given;
x = 7.8in
Area A = 60.8in²
Required
width w
Substitute the given parameters into the formula as shown;
! = xw
60.8 = 7.8w
divide both sides by 7.8
60.8/7.8 = 7.8/7.8w
7.795 = w
w = 7.8 in (to the nearest tenth)
Write down the sequence then solve
the problem.
On Monday I had 1 cup of tea, Tuesday I had 3
cups, on Wednesday I have 6 cups and on
Thursday I have 11 cups.
How many cups of tea did I have on Sunday?
1,3
38
Answer:
48.
Step-by-step explanation:
The sequence is
1, 3, 6, 11,
The differences are 2, 3, 5, 8, 12, 17
2nd difference 1 2 3 4 5
So, the next difference is 5+3 = 8 (Friday) so on that day you had 11+8 = 19 cups.
The next 2 differences are 8+4 = 12 and 12 + 5 = 17.
Saturday you had 19+12 = 31.
Sunday you had 31 + 17 = 48.
I'm stuck with the answer....can someone help me?
Step-by-step explanation:
all the fractions should have the same bottom or denominator
so I multiplied the bottom numbers together which is 140
at the top I multiplied 3 x35, 2x28 and 20x1
added them together and got
181/140
Which terms could be combined in the expression shown?
Select TWO correct answers.
Answer:
13x and (-5x) can be combined.
They combine to make 8x.
Answer:
13x & -5x
Step-by-step explanation:
-2x³ + 13x + 9 + 3x² -5x
We see only these term has the same variable, so we can only combined them.
Please do number 16 for me
my closet guess is 85°
Answer:
75 degrees
Step-by-step explanation:
Since lines A and B are parallel you can assume that angle 1 and angle 5 will be the same measurement. (You can see it better if you remove the other line)
1. Chandra recorded her quarterly sales in a bargraph. Chandra will get a bors of $5.000her average quarterly sales for the year reach$70,000. What must her sales be for the fourthquarter in order for Chandra to earn the bonus?A $45,000B. $50,000C. 865,000D.60,000
Given:
Chandra get a bonus if average quarterly sales for an year exceeds $70000.
From the bar diagram, we can find the sales for each quarter.
The height of each bar gives the sales for each quarter.
Since the data in the vertical column is given in thousands of dollars, multiply the height of the bar by 1000 to get the correct sales value.
The sales for the first quarter is $40000.
The sales for the second quarter is $100000.
The sales for the third quarter is $80000.
Let x be the sales for the fourth quarter.
Now, the average of the quarterly sales is,
\(\begin{gathered} A=\frac{Sum\text{ of all quarterly sales}}{\text{Number of quarters}} \\ A=\frac{40000+100000+80000+x}{4} \end{gathered}\)Put A=70000 and solve the equation for x to obtain the sales for the fourth quarter so that Chandra gets bonus.
\(\begin{gathered} 70000=\frac{220000+x}{4} \\ 70000\times4=22000+x \\ 280000-220000=x \\ 60000=x \end{gathered}\)So, the sales of the fourth quarter must be $60000 in order for Chandra to earn the bonus.
Hence, option D is correct.
can someone pls help me
Answer:
B 14.13 \(in^{3}\)
Step-by-step explanation:
Volume of cone is \(\pi r^{2} \frac{height}{3}\)
soo it would be:
3.14(1.5)^2(6/3)
=3.14(2.25)(2)
=7.065(2)
=14.13
The ratio of commercial time to television program time is 13 minutes to 47 minutes. How many minutes of commercial time in a two-hour television show?
Answer:
26 minutes
Step-by-step explanation:
13:47=1 hour
Multiply by 2
26:94= 2 hours
Which set of ordered pairs does not represent a function?
{(-8,-8), (9, 9),(4,5), (4,0)}
{(5,-5),(-7,3), (9,3), (3,-9)}
{(-5,0), (3,-6), (5,3), (-6,3)}
{(9,2), (0.8), (2, 2), (8.9)
Answer:
{(-8,-8), (9, 9),(4,5), (4,0)}
Step-by-step explanation:
A relation that is a function does not have any repeating x-values.
A function has one input assigned to exactly one output.
The x-value of 4 repeats in the top set:
{(-8,-8), (9, 9),(4,5), (4,0)}
Therefore, the set is not a function.
Brainilest Appreciated.
Plot the points D(-9,-6) E(-6,-3) F(0,-9)and dilate usinng a scale factor of 1/3 centered at the origin
Answer:
Step-by-step explanation:
Rule for the dilation of a point about the origin is,
(x, y) → (kx, ky)
Here, k = scale factor
Dilating points D, E and F about the origin by a scale factor 'k' = \(\frac{1}{3}\)
D(-9, -6) → D'(-3, -2)
E(-6, -3) → E'(-2, -1)
F(0, -9) → F'(0, -3)
Now we can plot these points on graph.
which of these statements is not true about a parallelogram
A) Opposite sides are equal
B) Opposite angles are equal
C) Opposite angles are bisected by diagonals
D) Diagonals bisect each other
The statement that is not true about a parallelogram is C) Opposite angles are bisected by diagonals.
The statement that is not true about a parallelogram is:
C) Opposite angles are bisected by diagonals.
In a parallelogram, opposite sides are equal (statement A), opposite angles are equal (statement B), and the diagonals bisect each other (statement D). However, opposite angles are not necessarily bisected by diagonals in a parallelogram.
The diagonals of a parallelogram intersect each other, but they do not necessarily bisect the opposite angles.
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Select all the equations that are true. 24 x − 8 = 8 ( 3 x − 1 ) 24 x − 8 = 8 ( 3 x − 1 ) 6 m − 15 = 3 ( 2 m − 5 ) 6 m − 15 = 3 ( 2 m − 5 ) − 7 x − 1 = − 1 ( 7 x + 1 ) − 7 x − 1 = − 1 ( 7 x + 1 ) 16 a + 24 b = 8 ( 8 a + 16 b ) 16 a + 24 b = 8 ( 8 a + 16 b ) − 8 x − 12 y − 16 = − 4 ( 2 x + 3 y + 4 ) − 8 x − 12 y − 16 = − 4 ( 2 x + 3 y + 4 )
Answer:
\(24x - 8 = 8 ( 3 x - 1 )\)
\(6 m - 15 = 3 ( 2 m - 5 )\)
\(-7 x - 1 = - 1 ( 7 x + 1 )\)
\(-8 x -12 y - 16 = - 4 ( 2 x + 3 y + 4 )\)
Step-by-step explanation:
Required
Select which of the equation is true
\(24x - 8 = 8 ( 3 x - 1 )\)
Open the bracket on the right hand side
\(24x - 8 = 8 * 3 x - 8 *1\)
\(24x - 8 = 24x - 8\)
Both sides of the equation are equal.
Hence, this equation is true
\(6 m - 15 = 3 ( 2 m - 5 )\)
Open the bracket on the right hand side
\(6m - 15 = 3 * 2m - 3 * 5\)
\(6m - 15 = 6m - 15\)
Both sides of the equation are equal.
Hence, this equation is true
\(-7 x - 1 = - 1 ( 7 x + 1 )\)
Open the bracket on the right hand side
\(-7x - 1 = -1 * 7x -1 * 1\)
\(-7x - 1 = -7x -1\)
Both sides of the equation are equal.
Hence, this equation is true
\(16 a + 24 b = 8 ( 8 a + 16 b )\)
Open the bracket on the right hand side
\(16a + 24b = 8 * 8a + 8 * 16b\)
\(16a + 24b = 64a + 128b\)
Both sides of the equation are not equal.
Hence, this equation is false
\(-8 x -12 y - 16 = - 4 ( 2 x + 3 y + 4 )\)
Open the bracket on the right hand side
\(-8 x -12 y - 16 = - 4* 2 x -4 * 3 y -4 * 4\)
\(-8 x -12 y - 16 = -8x -12y -16\)
Both sides of the equation are equal.
Hence, this equation is true
Suppose the growth rate of the firm's profit is 5 percent, the interest rate is 6 percent, and the current profits of the firm are $80 million. what is the value of the firm?
The calculate value of the firm is the growth rate of the firm's profit is 5 percent, the interest rate is 6 percent, and the current profits of the firm are $80 million = 8480 million
How to solve for the value of the firm(1+r/r -p) * P
This can be substituted in the equation
1.06/ ( 0.06 - 0.05) * 80 million = 8480 million
Hence the value of the firm is given as 8,480 million dollars. The correct answer is C.
Suppose the growth rate of the firm's profit is 5 percent, the interest rate is 6 percent, and the current profits of the firm are $80 million, the value of the firm is 8480 million
Complete question
Suppose the growth rate of the firm's profit is 5 percent, the interest rate is 6 percent, and the current profits of the firm are $80 million. What is the value of the firm?
A. $89.2 million
B. $1,413.3 million
C. $8,480 million
D. None of the statements associated with this question are correct.
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True or False
When naming or labeling a line, it matters which points you use.
Answer:
true
Step-by-step explanation:
when naming or labeling a line it matters which points you use
Gabbar watched 650 movies in the last 5 years. Every year he watched 10 movies less than the previous year. How many movies did he watch in the 1st year?
Answer:
he watched 2movie in 1st year
Jonah had $340.87 in his checking account. He withdrew $52 and wrote a check for $18.72. Find the new balance.
Answer:
270.15
Step-by-step explanation:
Answer:
270.15
Step-by-step explanation:
u just add 52 and 18.72 and subtract it from 340.87
Which of the following terms describe the relationship between the number of notes and each syllable of a text and which do not?
-syllabic
-melismatic
-neumatic
The terms syllabic, melismatic, and neumatic are all related to the number of notes in relation to each syllable of a text. Syllabic means that each syllable of the text is sung to one note.
This is the simplest type of setting for text to music. In contrast, melismatic means that each syllable of the text is sung to many notes, creating a more intricate and ornamental melody. Neumatic is somewhere in between syllabic and melismatic, where each syllable is sung to a few notes, but not as many as in a melismatic setting.
Syllabic, melismatic, and neumatic all describe the relationship between the number of notes and each syllable of a text.
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PLEASE ANSWER ASAP FOR BRAINLIEST
Answer:
Both are false.Step-by-step explanation:
This is because when you dilate a triangle it gets larger and expands. This means that it changes its position.
The edges of the triangle will get larger so the perimeter will not stay the same but it will change. But, the new perimeter is going to be rationonal to the original one.
How do you write 8.31 × 10^-3 in standard form?
Answer:
.00831
Step-by-step explanation:
Round 34.4678 of to two decimals
Answer:
34.47
Step-by-step explanation:
When you need to round it off to the second decimal, you must look at the 3rd decimal place.
In this case, it's 7. If it's a number greater than 5 or 5, you must round off to the next value and if it is less than 5 or 5.
Since it is 7 in the third decimal place, the answer would be 34.47
Answer:
34.47
Step-by-step explanation:
Round to the nearest thousandths place.=> 34.4678 [Unit place is 8, so it will round up.]
=> 34.468
2. Round to the nearest hundredths place.
=> 34.468 [Tens place is 8, so it will round up.]
=> 34.47
Solution :-
34.47