briefly explain why a maclaurin polynomial cannot be created for the function . your answer should only be one or two sentences.
Answers
A Maclaurin polynomial can only be created for functions that are infinitely differentiable, and the given function is not infinitely differentiable.
What is Maclaurin polynomial?Maclaurin polynomial is an important type of Taylor series, developed by the Scottish mathematician Colin Maclaurin in the 18th century. It is a special case of the Taylor series, which is used to approximate a function near a given point. Maclaurin polynomials are polynomials that are used to approximate a function near the origin. They are derived from the Taylor series expansion of a function around the zeroth order derivative. The general form of a Maclaurin polynomial is given by ⌊f(x)=∑n=0∞a_nx^n⌋, where a_n is the nth derivative at x=0. Maclaurin polynomials are used to approximate a variety of functions, from simple polynomials to more complicated ones such as trigonometric, exponential, and logarithmic functions. They can also be used to approximate certain integrals and derivatives. Maclaurin polynomials are widely used in mathematics, physics, engineering, and other sciences.
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Related Questions
The difference of two supplementary angles is 58 degrees. Find the measures of the angles.
Answers
Answer:
The measure of the angles are 61° and 119°
Step-by-step explanation:
Let the first angle = x°
let the second angle = y°
The sum of two supplementary angles = 180°
x° + y° = 180° ----- equation (1)
based on the given question; "the difference of two supplementary angles is 58 degrees."
x° - y° = 58° ------- equation (2)
from equation (2), x° = 58° + y°
Substitute the value of x into equation (1)
(58° + y°) + y° = 180°
58 + 2y = 180
2y = 180 -58
2y = 122
y = 122 / 2
y = 61°
The second angle is given by;
x° = 58° + y°
x = 58° + 61°
x = 119°
Thus, the measure of the angles are 61° and 119°
Choose the table that represents g(x) = 3⋅f(x) when f(x) = x − 1
Answers
Write 0.00000306 in scientific notation.
Answers
Answer:
3.06×10^-6
Step-by-step explanation:
0.00000306 = 3.06×0.000001 = 3.06×10^-6
__
Your calculator or spreadsheet can display numbers in scientific notation.
Regina has three number cubes. The faces of each number cube are numbered from 1 to 6. Regina will roll each number cube one time.
What is the probability that all three number cubes will land on an odd number?
Answers
The probability that all three number cubes will land on an odd number is 1/8
How to determine the probability?From the question, we have the following parameters that can be used in our computation:
Number of cubes = 3
Sections on each cube = 6
Odd sections on each cube = 3
This means that
P(Odd) = Odd sections/Total sections
So, we have the following representation
P(Odd) = 3/6
Simplify
P(Odd) = 1/2
For the three cubes, we have
P(All odd) = P(Odd)^Number of cubes
Substitute the known values in the above equation, so, we have the following representation
P(All odd) = (1/2)³
Evaluate
P(All odd) = 1/8
Hence, the probability is 1/8
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Answer: 1/8
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20g of radioactive substance decays by 1/2 of it's original
amount every 30 days. How much is left after 10 days.
Answers
The amount of radioactive after 10 days with the same rate of change of decay will be 16.67 g.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
As per the given,
Radioactive decays by 1/2 of its original in 30 days.
1/2 of original → 30 days.
Divide both sides by 3
1/6 of original → 10 days
Therefore, in 10 days amount of decays will be,
1/6 of 20 ⇒ 20/6 = 3.33
The amount left = 20 - 3.33 = 16.67.
Hence "The amount of radioactive after 10 days with the same rate of change of decay will be 16.67 g".
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The Chamber of Commerce in a large Midwestern city has stated that 70 percent of all business owners in the city favor increasing the downtown parking fees. The city council has commissioned a random sample of n = 100 business owners. Of these, 63 said that they favor increasing the parking fees. What is the probability of 63 or fewer favoring the idea if the Chamber's claim is correct?
a.Approximately 0.0630.
b.About 0.4370.
c.Nearly 0.20.
d.About 0.9370.
Answers
15 минут ,я решу и сразу скину тебе!!
A company produces and sells solar panels for $520. The company's daily profit, P(x), can be modeled by the function P(x) = −6x2 + 156x + 1,000, where x is the number of $5 price increases for each solar panel. Use the graph to answer the questions.
Graph of function p of x equals negative 6 x squared plus 156 x plus 1,000. The graph has the x-axis labeled as the number of price increases, and the y-axis labeled as profit. The curve begins at (0, 1000), increases to the vertex at about (13, 2014), and decreases through about (31, 0).
Part A: Identify the approximate value of the y-intercept. Explain what the y-intercept means in terms of the problem scenario. (3 points)
Part B: Identify the approximate value of the x-intercept. Explain what the x-intercept means in terms of the problem scenario. (3 points)
Part C: Identify the approximate value of the maximum of the function. Explain what the maximum of the function means in terms of the problem scenario. (4 points)
Will give who ever answers the fast the brainliest and max points
Answers
This occurs when the number of $5 price increases is approximately 10.82 or 15.32.
The function given is P(x) = −6x2 + 156x + 1,000, where x is the number of $5 price increases for each solar panel. We are to identify the approximate value of the x-intercept and explain what the x-intercept means in terms of the problem scenario.
The x-intercept is a point where the graph of the function crosses the x-axis. At this point, the value of the function is zero.
We can find the x-intercept by setting P(x) = 0 and solving for x.0 = −6x2 + 156x + 1,0006x2 - 156x - 1000 = 0Dividing by 6, we get:x2 - 26x - 166.67 = 0Solving using the quadratic formula,
we get:x ≈ 10.82 or x ≈ 15.32So, the x-intercepts are approximately 10.82 and 15.32. In terms of the problem scenario, the x-intercept represents the point at which the company breaks even, i.e., the point at which the daily profit is zero.
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Write an absolute value equation from the solutions -5 and 7.
Answers
K
Each of the following three data sets represents the IQ scores of a random sample of adults. IQ
scores are known to have a mean and median of 100
105
105
111
105
111
102
106
91
99
99
109
99
109
111
115
112
Sample of Size 5
91
91
111
Sample of Size 12
888888 888
100
110
97
104
Sample of Size 30
91
111
113
113
108
113
108
91
118
110
Full data set o
101
109
101
109
91
97
95
CELES
m
For each data set, compute the mean and median
What is the mean of the sample of size 5?
(Type an integer or decimal rounded to one decimal place as needed
Answers
A 1.5 standard deviations above the mean IQ score is 122.5.
How do equations work?An expression that depicts the relationship between two or more numbers and variables is called an equation.
A dependent variable is one that depends on another variable, whereas an independent variable does not depend on any other variable for its value.
Giving the z score are:
z is calculated as (raw score - mean) / standard deviation.
with a standard deviation of 15 and a mean of 100. The z-score of 1.5 is equal to the IQ score that is 1.5 standard deviations above the mean, so:
1.5 = (x - 100)/15
x = 122.5
A 1.5 standard deviations above the mean IQ score is 122.5.
The Complete Question is IQ score.
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Verify that the following function is a probability mass function, and determine the requested probabilities.
fx = (8/7(1/2)x
x = 0, 1, 2, ...
A. P(X = 2).
B. P(X ≤ 2).
C. P(X > 2).
D. P(X ≥ 1).
Is the function a probability mass function?
Answers
Answer:
yes
Step-by-step explanation:
What is (123
) ÷ (18
)?
Answers
Answer:
6.8333333333 or 41/6
Step-by-step explanation:
The sum of four consecutive
integers is 94. Find the integers.
Answers
Answer:
22, 23, 24, and 25.
Step-by-step explanation:
The sum of four consecutive integers is 94, and we want to determine the integers.
Let x be the first integer. Since they are consecutive, the second will be (x + 1), the third (x + 2), and the fourth (x + 3).
They sum to 94. Hence:
\(\displaystyle x + (x+1) + (x+2) + (x+3) = 94\)
Solve for x. Combine like terms:
\(4x + 6= 94\)
Subtract:
\(\displaystyle 4x = 88\)
And divide. Hence:
\(\displaystyle x = 22\)
Therefore, the first term is 22.
Then the four integers are 22, 23, 24, and 25.
The scale on a map says that 6 cm represents 15 km. What distance on the map in centimeters represents 20 kilometers?
Answers
Answer:
8 centimeters.
Step-by-step explanation:
\(6cm\ on\ map\ -> 15km\\\)
Divide 3 both sides:
\(2cm\ on\ map\ -> 5km\)
Multiply 4 on both sides:
\(8cm\ on\ map\ -> 20km\)
8cm on the map represents 20km.
The distance of 20 Km on scale is 8 cm.
What is Scale Factor?A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.
Given:
Scale: 6cm represents 15 Km
1 cm represents 5/2 = 2.5 Km
So, the distance of 20 Km is represented by
= 20/ 2.5
= 8 cm
Hence, the distance on scale is 8 cm.
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Write a function g whose graph represents a vertical shrink by a factor of 1/2 of the graph of f(x)= 2x + 6
Answers
Answer:
f(x)= x + 3
Step-by-step explanation:
pls someone help me asap :)
Answers
Answer:
right angle
acute
acute
obtuse
obtuse
Step-by-step explanation:
Since angle <ABC is a straight line, the angle is 180 degrees. This means all the angles in between should also add up to 180 degrees. Using this knowledge you can solve for the value of angle <FBE which is going to be equal to 180 - (40 + 25 + 50) = 65.
< DBF = <DBE + <EBF
< DBF = 25 + 65 = 90 (right angle)
<EBD = 25 (given) (acute)
<DBC = 50 (given) (acute)
<ABE = <ABF + <FBE
<ABE = 40 + 65
<ABE = 105 (obtuse)
<CBF = <CBD + <DBE + <EBF
<CBF = 50 + 25 + 65
<CBF = 140 (obtuse)
the value of a baseball players rookie card was $7.46 it then began to increase once the player retired in 1996. The value increased by $2.52 each year since then. Part A. how much was the baseball card worth in 1997? and then in 1998 and 1999?
Answers
Answer:
In 1997, the baseball card would be worth $7.46 + $2.52 = $9.98.
In 1998, the baseball card would be worth $9.98 + $2.52 = $12.50.
In 1999, the baseball card would be worth $12.50 + $2.52 = $15.02.
Step-by-step explanation:
In this problem, we are given the value of a baseball card in 1996, which is $7.46. We are also told that the value of the card increases by $2.52 each year since then. This means that in 1997, the value of the card increased by $2.52 compared to its value in 1996, so the value in 1997 would be $7.46 + $2.52 = $9.98. Similarly, in 1998, the value of the card increased by another $2.52 from its value in 1997, so the value in 1998 would be $9.98 + $2.52 = $12.50. In 1999, the value of the card increased by another $2.52 from its value in 1998, so the value in 1999 would be $12.50 + $2.52 = $15.02.
help me pls , will give brainliest
Answers
Answer:
m/2 = 87°
m/4 = 87°
m/7 = 93°
Have a good day, please! :)
0.00000405 in scientific notation
Answers
Answer: 4.5 x 10^-6
Answer:
4.05*10^-6
Step-by-step explanation:
To do this by hand, you need to understand the rules of scientific notation.
I need help plz I've tried so many ways :(
Answers
Answer:
Below in bold.
Step-by-step explanation:
0.3. e^3x = 27
Taking logs of both sides:
ln (0.3. e^3x) = ln 27
ln (0.3) + ln e^3x = ln 27
ln e^3x = ln 27 - ln(0.3)
3x = ln 27 - ln 0.3
3x = ln(27/0.3) = ln 90
x = 1/3 ln 90
x = ln (90^1/3)
Approximate value of x:
= 1.499936557
= 1.500 to the nearest thousandth.
a/b -1/c = d solve for c
Answers
Answer:
Yow my account is about to be banned
Step-by-step explanation:
c= -d+a/b
The cost of a movie ticket is $9.75, which is $36.25 less than a ticket to go to a concert. What is the cost of a ticket to the concert?
Answers
Answer: $46
Step-by-step explanation:
Explain how to find 398 + 257 with mental math and with the standard algorithm.
Answers
Step-by-step explanation:
If you were to round 398 to the nearest hundred, you would get 400. that's only 2 off of 398. when you add 400 + 257 that would equal 857 because 4 + 2= 6 and then the other two digits on 400 are zeros so 5 and 7 stay the same. with 857, you must now subtract 2 because you added 2 earlier. 857 - 2 = 855.
someone please answer this its confusing me
Answers
the line AB will be congruent to line DC so 8t + 7 = 9t - 2 which gives you t = 9
line AD will also be congruent to line BC so 4s + 1 = 2s + 25 which gives you s = 12
PLS HELP I ONLY HAVE 30 MINS
Question 5 (4 points)
(04.02)
Determine whether the graph represents a proportional relationship. (4 points)
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 10. Four points are shown on the graph on ordered pairs 0, 0 and 1, 3 and 2, 6 and 3, 7. These points are joined by a line. The label on the x-axis is Number of pans. The title on the y-axis is Number of cakes.
a
Yes, it is a proportional relationship because the graph goes through the origin
b
Yes, it is a proportional relationship because the graph is a straight line
c
No, it is not a proportional relationship because the graph is not a straight line
d
No, it is not a proportional relationship because the graph does not go through the origin
Answers
Answer:
C. It is not proportional because it is not a straight line.
Step-by-step explanation:
You can check to see if it is a straight line by setting up a table and ensuring that the values increase by the same amount every ordered pair.
------> The Answer Is C <------
Hope this helps have a good day :D
Show your work plssss
Answers
Answer:
I7.
Step-by-step explanation:
at r = 13,
r + 4 = 13 + 4 = 17
Now you try on your own.
Kelly wants to build a new wardrobe for herself with only clothing pieces she loves, fit her well, and coordinate together. She already has most of the pieces she will use, but needs to save up to go shopping for the remaining items. She has already saved some money from her job, and she decides to set aside money weekly from her tips. The expression $25w+$65
represents the amount of money Kelly will have saved after some amount of weeks. What does each part of this expression represent?
$25=
Answer
w=
Answer
$65=
Answer
For this specific expression, would it make sense to plug in a negative number for w
? Answer
For this specific expression, would you ever expect to get a number less than 65
for your total amount saved?
Answers
The Interpretatiom of the equation is that;
w represents number of weeks she will have saved for the remaining items
$25 represents the amount she saves per week
$65 represents the amount she has already saved
How to solve algebra word problems?The algebra word problem can be solved by using variables to denote certain parameters I'm the question.
The general form of equation of a line in slope intercept form is;
y = mx + c
Where;
m is slope
c is y-intercept
We are given the equation:
$25w + $65
This equation represents the amount of money Kelly will have saved after some amount of weeks.
Thus;
w represents number of weeks she will have saved for the remaining items
$25 represents the amount she saves per week
$65 represents the amount she has already saved
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What is -5 as a rational number in form of a over b
Answers
After answering the provided question, we can conclude that As a result, expression -5 is -5/1 as a rational number in the form a/b.
what is expression ?An expression in mathematics is a collection of representations, digits, and conglomerates that resemble a statistical correlation or regimen. A real number, a mutable, or a combination of the two can be used as an expression. Mathematical operators include addition, subtraction, rapid spread, division, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are used in the representation of mathematical formulas, the solution of equations, and the simplification of mathematical relationships.
-5 is a rational number expressed as a/b, where a and b are integers and b is not equal to zero.
To find a and b, we can use the formula:
-5 = a/b
When we multiply both sides by b, we get:
-5b = a
As a result, we can express -5 as a rational number as (-5)b/b, where b can be any non-zero integer. For instance, if we choose b = 1, we get:
-5 = (-5)(1)/1
As a result, -5 is -5/1 as a rational number in the form a/b.
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Which statement is true?
StartFraction 13 Over 14 EndFraction greater-than StartFraction 25 Over 28 EndFraction
StartFraction 21 Over 45 EndFraction less-than StartFraction 4 Over 9 EndFraction
StartFraction 5 Over 6 EndFraction greater-than StartFraction 11 Over 12 EndFraction
StartFraction 4 Over 5 EndFraction less-than StartFraction 8 Over 25 EndFraction
Answers
Answer:
b
Step-by-step explanation:
1) Matching.
The United States won 104 gold (g), silver s, and bronze (b) medals in the 2012 Summer Olympics.
____________a. Select the linear equation in standard form for three unknowns:
____________b. The United States won 46 gold medals and the same number each of silver and bronze medals. Select the relationship between the number of silver to bronze medals in an equation of two unknowns.
_____________c. With the information given in b, solve the linear equation in a for the number of gold, silver, and bronze medals won.
a. =g + s + b=104
b. =g=29, s=46, b=29
c. =g=b
d. =s=b
e =-g=46, s=29, b=29
f. =g + s + b=100
Answers
The linear equation in standard form is g + s + b=104, the relationship between silver to bronze medals is g = s and the solution is g=46, s=29, b=29
How to select the linear equation in standard form for three unknowns?
(a) Since the United States won 104 gold (g), silver s, and bronze (b) medals in the 2012 Summer Olympics.
This means the sum of gold (g), silver s, and bronze (b) medals is equal to 104. Thus, the linear equation in standard form is:
g + s + b = 104
(b) Since the United States won 46 gold medals and the same number each of silver and bronze medals. This implies:
g = 46
s = b
Thus, the relationship between the number of silver to bronze medals is s = b
(c) To solve the linear equation, substitute g = 46 and s = b into the equation g + s + b = 104:
g + s + b = 104
46 + b + b = 104
46 + 2b = 104
2b = 104 -46
2b = 58
b = 58/2
b = 29
Also, s = 29 (Remember: s = b)
Thus, g = 46, s =29, b = 29
Therefore, the United States won 46 gold (g), 29 silver (s), and 29 bronze (b) medals in the 2012 Summer Olympics. Select options a., d. and e. for a., b., and c. respectively
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what is the kinetic energy of 1500 kg pick-up truck traveling at 31.0 m/sec.
Answers
The kinetic energy of a 1500 kg pick-up truck traveling at 31.0 m/sec will be 720 kJ.
What is kinetic energy?If the body of the mass (m) is moving with a velocity (v), then the body possesses the energy which is known as kinetic energy. The SI unit of the kinetic energy is Joule. Then the formula is given as,
KE = 1/2 x mv²
The kinetic energy of a 1500 kg pick-up truck traveling at 31.0 m/sec is given as,
KE = 1/2 x 1500 x 31²
KE = 720,750 Joule
KE = 720 kJ
The kinetic energy of a 1500 kg pick-up truck traveling at 31.0 m/sec will be 720 kJ.
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