We can estimate that a small number of terms, such as n = 2 or 3, would be needed in a Taylor polynomial to guarantee an accuracy of 0.001 for the given interval.
To estimate the number of terms needed in a Taylor polynomial to guarantee a certain accuracy, we can use the remainder term formula of Taylor polynomials.
The remainder term of a Taylor polynomial is given by:
R_n(x) = f^(n+1)(c)(x-a)^(n+1) / (n+1)!
where f^(n+1)(c) is the (n+1)-th derivative of the function evaluated at some point c between a and x.
In this case, we want to guarantee an accuracy of 0.001, so we need to find the smallest value of n that satisfies:
|R_n(x)| < 0.001
Since we don't have the specific function f(x), we cannot calculate the exact value of n. However, we can use a rough estimate based on the magnitude of the interval [a, x].
In the given case, the interval is 10^(-10), which is extremely small. This suggests that a small value of n will be sufficient to guarantee the desired accuracy. In practice, for such small intervals, even a low value of n (e.g., n = 2 or 3) would likely provide an accuracy of 0.001 or better.
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What’s 44x10=to the 0 power
Answer:
1
Step-by-step explanation:
Simplify the following:
(44×10)^0
Hint: | Simplify (44×10)^0 by distributing exponents over products.
Multiply each exponent in 44×10 by 0:
Answer: 1
any number to the zero power always gives a one
On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 9 kg weighs 63 N . Calculate the mass of another object that weighs 14 N.
Answer:
The mass is 2 kg.
Step-by-step explanation:
W = kM where k is a constant so
63 = k*9
k = 7
So: W = 7M
when W = 14:
14 = 7M
M = 2.
In a recent year, DiGiorno sold $478. 3 million worth of frozen pizza. If total frozen pizza sales were $2,844. 8 million, what percent of frozen pizza sales
In the recent year, DiGiorno had approximately 16.81% of the total frozen pizza sales.
To determine the percentage of frozen pizza sales that DiGiorno had, we need to divide their sales by the total frozen pizza sales and then multiply by 100 to get the percentage.
DiGiorno sold $478.3 million worth of frozen pizza and the total sales of frozen pizza was $2,844.8 million. We can find the percentage of DiGiorno's sales by dividing their sales by the total sales and multiplying by 100:
478.3/2844.8*100%=16.81%
So DiGiorno's sales accounted for about 16.81% of the total frozen pizza sales.
Therefore, in the recent year, DiGiorno had approximately 16.81% of the total frozen pizza sales.
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What is 400 divided by 200
Answer:(:
Step-by-step explanation: 2
The amount of medicine in a patient's bloodstream is shown by the function A(h)=600(0.75)^h, where h is the number of hours that have passed since the medicine was given.
A: The amount of medicine in the bloodstream increases by 25% each hour.
B: The amount of medicine in the bloodstream decreases by 25% each hour.
C: The amount of medicine in the bloodstream increases by 75% each hour.
D: The amount of medicine in the bloodstream decreases by 75% each hour.
The amount of medicine in the bloodstream decreases by 25% each hour.
Exponential equationThe standard exponential equation is expressed as:
y = ab^x
a is the initial amount
b is the rate
If b < 1, hence there is a declince
Given the expoenentia equation A(h)=600(0.75)^h,
b = 1 - r = 0.75
r = 1 - 0.75
r = 0.25
This shows that the amount of medicine in the bloodstream decreases by 25% each hour.
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A cherry tree is 6 feet tall. A palm tree is 3 times as tall as the cherry tree. Which
model represents this problem?
Answer:
The one that is 18ft tall
Step-by-step explanation:
6 times 3 is 18
(select all that apply)
1. Calculation errors when distributing 9h
2. Calculation errors when combining h^2 terms
3. Calculation errors when distributing -1
4. Calculation errors when distributing h^2
5. Calculation errors when combining h terms
The simplification of the expression (h² + 9·h - 1) × (-4·h + 3), involves the
multiplication of the terms. The error is therefore;
3. Calculating errors when distributing -1
How can the error in the calculation be found?The expansion of (h² + 9·h - 1) × (-4·h + 3), is given as follows;
(h² + 9·h - 1) × (-4·h + 3) = -4·h³ + 3·h² - 36·h² + 27·h + 4·h - 3
Which gives;
-4·h³ - 33·h² + 31·h - 3
The calculation is therefore;
\(\begin{array}{|c|c|c|c|}&h^2&+9 \cdot h & -1\\-4 \cdot h&-4\cdot h^3&-36\cdot h^2 &4 \cdot h\\+3& 3 \cdot h^2&27 \cdot h&3\end{array}\right]\)
The error is therefore, in the distribution of the -1
The correct option is;
3. Calculating errors when distributing -1
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what type of transformation is a translation?
A. a transformation that moves every point in a figure the same distance and the same direction.
B. a transformation that rotates a figure about a given point.
C. a transformation that flips a figure across the x- or y-axis.
D. a transformation that reduces or enlarges a figure.
Answer:
the answer is A please give brainliest
Step-by-step explanation:
2. Joemom normally needs 40 minutes to drive home from work. Durir rush hour, she needs 60 minutes. Find the time increase as a percent.
Explanation
The time increase is given as % increase = Increase ÷ Original Number × 100
\(\begin{gathered} \text{Percentage increase =}\frac{60-40}{60}\times100 \\ =\frac{20}{60}\times100 \\ =33.3333\text{ \%} \end{gathered}\)Answer: 33.3333%
Calculus Work:
8x^3 + 10x^2 - 15x divided by 2x + 1 in the format of q(x) + r(x)/b(x)
Answer:
8x³ + 10x² - 15x ÷ 2x + 1 = 8x³ + 10x² - 15/2 + 1 = 8x³ + 10x² - 6 1/2
Follow me and hope it helpsf(x, m, s) = 1 √278² exp (-2/2 (x-m) ²) 28² Write a function in the form of gauss(x, m=0, s=1) for computing the Gaussian density. Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. Give the name of question5b (c) x-0, m-2, s-1. Give the name of question5e (d) x=0, m=2, s=2. Give the name of question5d (e) x=3, m-3, s-3.
Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. The value of the account on January 1, 2021, would be $2,331.57.
To calculate the value of the account on January 1, 2021, we need to consider the compounding interest for each year.
First, we calculate the value of the initial deposit after three years (12 quarters) using the formula for compound interest:
Principal = $1,000
Rate of interest per period = 8% / 4 = 2% per quarter
Number of periods = 12 quarters
Value after three years = Principal * (1 + Rate of interest per period)^(Number of periods)
= $1,000 * (1 + 0.02)^12
≈ $1,166.41
Next, we calculate the value of the additional $1,000 deposit made on January 1, 2019, after two years (8 quarters):
Principal = $1,000
Rate of interest per period = 2% per quarter
Number of periods = 8 quarters
Value after two years = Principal * (1 + Rate of interest per period)^(Number of periods)
= $1,000 * (1 + 0.02)^8
≈ $1,165.16
Finally, we add the two values to find the total value of the account on January 1, 2021:
Total value = Value after three years + Value after two years
≈ $1,166.41 + $1,165.16
≈ $2,331.57
Therefore, the value of the account on January 1, 2021, is approximately $2,331.57.
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what are the graphing points
y=3x-8
Answer:
(0,-8) and (2.6,0)
Step-by-step explanation:
according to desmos
according to national standards, under what circumstances may a pool house be included in total square footage?
It is recommended to consult with a licensed appraiser or real estate agent for guidance on how to accurately measure and report total area square footage.
According to national standards, a pool house may be included in total square footage if it meets certain criteria. Firstly, the pool house must have a permanent foundation and be heated and cooled to the same extent as the main house.
Additionally, the pool house must have finished living space that is connected to the main house by a covered walkway or enclosed breezeway. This living space may include a bathroom, bedroom, or kitchen.
However, it is important to note that some appraisers and real estate agents may not include the pool house in the total square footage if it is not considered "livable space" or if it is primarily used for storage or pool equipment. Ultimately, the decision to include the pool house in total square footage may vary depending on local real estate practices and regulations.
It is recommended to consult with a licensed appraiser or real estate agent for guidance on how to accurately measure and report total square footage.
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The length of a certain rectangular prism is 3 less than twice the width. The height of the same prism is 4 more than
the width. Write an expression to represent the volume of the rectangular prism in terms of width (w).
V=2w? + 5w-12
V= -2w3 + 11w2 + 12w
V=2w3 +5w? - 12w
В.
С.
D
V=4w + 1
Answer:
it is c
Step-by-step explanation:
me big brain
What’s the area of the triangle & parallelogram
Answer:
116 cm squared
Step-by-step explanation:
The area of the triangle is 28 cm squared.
The area of the parallelogram is 88 cm squared.
The total area of the composite figure would be 116 cm squared.
Answer:
triangle:28
parallelogram:88
total area:116
Step-by-step explanation:
8×7=56
triangle->56÷2
=
\( {28}^{2} \)
parallelogram->11cm×8cm
=
\( {88}^{2} \)
total area->28cm²+88cm²=116cm²
What is the value of the expression: 5 (3 - 7b ) when b=2? Show work.
Answer:
Answer: 94
Step-by-step explanation:
Step-by-step explanation:
7(6)-4(2)+6(5)2=
42-8+60= 94
Hey there!
5(3 – 7b)
= 5(3 – 7(2))
= 5(3 – 14)
= 5(–11)
= –55
Therefore, your answer should be: –55
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Fuel costs have risen quickly during recent years as consumption, refining and production costs have risen sharply. Supply and demand conditions in the perfectly competitive domestic crude oil market are: QS = -250 + 7P (Supply) QD = 260 - 7P (Demand) where Q is quantity in millions of barrels per day, and P is price per barrel. Find the market equilibrium price. Note: To be at equilibrium, QS must equal QD
Answer:
The market equilibrium price is approximately $36.43 per barrel.
Step-by-step explanation:
To find the market equilibrium price, we need to set the quantity supplied (QS) equal to the quantity demanded (QD) and solve for the price (P).
Given:
QS = -250 + 7P
QD = 260 - 7P
Setting QS equal to QD:
-250 + 7P = 260 - 7P
Now, let's solve for P:
Add 7P to both sides:
-250 + 7P + 7P = 260 - 7P + 7P
Combine like terms:
14P - 250 = 260
Add 250 to both sides:
14P - 250 + 250 = 260 + 250
Simplify:
14P = 510
Divide both sides by 14:
14P/14 = 510/14
Simplify:
P = 36.43
The market equilibrium price can be found by setting the quantity supplied (QS) equal to the quantity demanded (QD) and solving for the price (P) that satisfies this condition.
In the given scenario, the supply function is QS = -250 + 7P, and the demand function is QD = 260 - 7P. To find the equilibrium price, we set QS equal to QD:
-250 + 7P = 260 - 7P
Simplifying the equation, we get:
14P = 510
Dividing both sides by 14, we find:
P = 36.43
Therefore, the market equilibrium price is approximately $36.43 per barrel. At this price, the quantity supplied and quantity demanded will be equal, resulting in a state of equilibrium in the perfectly competitive domestic crude oil market.
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What is the first step to solving this equation?
-2a= 10
A) Add 2 to both sides
B) Subtract 2 from both sides
C) Multiply by -2 to both sides
D) Divide by -2 to both sides
E) Divide by 2 to both sides
Find the length
*Will give brainlist
*Comment if i didn't describe enough
*STEP BY STEP
what is the number in math ?
In mathematics, a number is a quantity that represents a magnitude or size. Numbers can be used to measure, count, label, and represent values in a variety of contexts.
There are different types of numbers in mathematics, including:
Natural numbers: These are the counting numbers, starting from 1 and going up infinitely (1, 2, 3, 4, 5, ...).
Whole numbers: These are the natural numbers together with 0 (0, 1, 2, 3, 4, ...).
Integers: These are the whole numbers together with their negative counterparts (-3, -2, -1, 0, 1, 2, 3, ...).
Rational numbers: These are numbers that can be expressed as a ratio of two integers, such as 3/4, -2/5, or 7/1.
Irrational numbers: These are numbers that cannot be expressed as a ratio of two integers, such as π (pi) or √2 (the square root of 2).
Real numbers: These are all the rational and irrational numbers together.
Complex numbers: These are numbers of the form a + bi, where a and b are real numbers and i is the imaginary unit (i.e., the square root of -1).
So, "number" is a general term in mathematics that refers to a wide range of quantities and types of values.
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Which number can fill in the blank below?
4.3 < _________ < 4.5
A.440%
B.44%
C.4.4×10^1
D.4.4%
Answer:
A
Step-by-step explanation:
440 percent is the same thing as 4.4
Ill, Sam and Nicki are at the carnival. Sam won twice as many tokens as Jill and Jill won ⅔ of the number Nicki won. In total, they collected 135 tokens. How many tokens did each of them collect? Support your answer with mathematical evidence. Explain how you know you are right
Jill collected 30 tokens, Sam collected 60 tokens and Nicki collected 45 tokens.
How many tokens did they collect at the carnival?Let u represent the number of tokens collected by Jill, Sam, and Nicki as J, S & N
According given information:
Sam won twice as many tokens as Jill: S = 2JJill won ⅔ of the number Nicki won: J = (2/3)NThe total number of tokens collected is:
J + S + N = 135
Substituting value of S from equ 1 into 3:
J + 2J + N = 135
3J + N = 135
Substituting value of J from equ 2 into equ 3:
3(2/3)N + N = 135
2N + N = 135
3N = 135
N = 45
Substituting value of N back to equa 2:
J = (2/3)(45)
J = 30
Substituting values of J and N to equ 1:
S = 2(30)
S = 60.
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Jodie wanted to match  Mandys obstacle course record of 68.2 seconds. She had already spent 40 1/4 seconds on rock climbing and 12.84 seconds on the ropes how much time did she have left to match the record
The time Jodie have left to match the record of Mandy is 15.11 seconds
TimeMandy's obstacle course = 68.2 secondsJodie:
Time spent climbing rock = 40 1/4 seconds= 40.25 seconds
Time spent on the rope = 12.84 seconds
Total time spent = 40.25 seconds + 12.84 seconds
= 53.09 seconds
Total time she have left to match the record = Mandy's obstacle course - Total time spent
= 68.2 seconds - 53.09 seconds
= 15.11 seconds
Therefore, the time Jodie have left to match the record of Mandy is 15.11 seconds
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a fourth grade class of 28 students is given a standardized math test, both at the beginning of the semester and again at the end of the semester. the mean difference in scores from the beginning and the end is considered. which statistic is being collected?
that the statistic being collected is the mean difference in scores from the beginning and the end of the semester.
In this scenario, the fourth grade class is given a standardized math test at the beginning and end of the semester. The scores from both tests are compared, and the difference between the two scores is calculated for each student. The mean difference in scores is then considered as a statistic to evaluate the overall progress of the class.
Mean difference is a statistical measure that represents the average difference between two sets of data. It is calculated by subtracting the mean of one set from the mean of the other set and then dividing the result by the number of data points.
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Show that f:{0,1} 2
→{0,1} 2
;f(a,b)=(a,aXORb) is bijective. Also show show that the functions g and h, g:{0,1} 2
→{0,1} 2
;f(a,b)=(a,aANDb)
h:{0,1} 2
→{0,1} 2
;f(a,b)=(a,aORb)
are not bijective.
A function is bijective if it is both injective (one-to-one) and surjective (onto). This means that for every element in the codomain, there is exactly one element in the domain that maps to it.
Let's first consider the function f(a,b) = (a, a XOR b). To show that f is injective, we need to show that if f(a,b) = f(c,d), then (a,b) = (c,d). Suppose f(a,b) = f(c,d), so (a, a XOR b) = (c, c XOR d). This implies that a = c and a XOR b = c XOR d. Since a = c, we have b = d. Therefore, (a,b) = (c,d), so f is injective.
To show that f is surjective, we need to show that for any element (x,y) in the codomain {0,1}^2, there exists an element (a,b) in the domain {0,1}^2 such that f(a,b) = (x,y). Let (x,y) be an arbitrary element in the codomain. If we let a = x and b = x XOR y, then f(a,b) = f(x, x XOR y) = (x, x XOR (x XOR y)) = (x,y). Therefore, f is surjective.
Since f is both injective and surjective, it is bijective.
Now let's consider the function g(a,b) = (a, a AND b). To show that g is not bijective, it suffices to show that it is either not injective or not surjective. In this case, g is not surjective. For example, there is no element (a,b) in the domain {0,1}^2 such that g(a,b) = (1,0), because a AND b can never be 0 if a is 1. Therefore, g is not bijective.
Similarly, let's consider the function h(a,b) = (a, a OR b). To show that h is not bijective, it suffices to show that it is either not injective or not surjective. In this case, h is not surjective. For example, there is no element (a,b) in the domain {0,1}^2 such that h(a,b) = (0,1), because a OR b can never be 1 if a is 0. Therefore, h is not bijective.
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How to solve for j -10=║j-7║
Answer:
No solutions.
Step-by-step explanation:
-10 = 7
No solutions
Simplify the following functions using the Karnaugh Map method and obtain all possible minimized forms of the function. I Function 1 - Minimized SOP form (6 possible functions) F(a,b,e,d)=2m(0,1,3,4,6,7,8,9,11,12, 13, 14, 15) Function 2 - Minimized POS form (3 possible functions) F(a,b,c,d,e)=2m (4,5,8,9,12,13,18,20,21,22,25,28,30,31) Submit the following: 1. All grouped and labelled K-Maps of Function 1 2. All minimized SOP forms of Function 1 3. All grouped and labelled K-Maps of Function 2 4. All minimized POS forms of Function 2
However, I can explain the process of simplifying the given functions using the Karnaugh Map (K-Map) method and provide you with the minimized SOP and POS forms.
1. For Function 1, we have the following grouped and labeled K-Maps:
- K-Map for variables a, b, and e (4x4 grid)
- K-Map for variable d (2x2 grid)
2. To obtain the minimized SOP forms of Function 1, we need to analyze the grouped cells in the K-Maps and write the corresponding Boolean expressions. By applying the K-Map method, we can obtain six possible minimized SOP forms for Function 1.
3. For Function 2, we have the following grouped and labeled K-Maps:
- K-Map for variables a, b, c, and e (4x4 grid)
- K-Map for variable d (2x2 grid)
4. To obtain the minimized POS forms of Function 2, we need to analyze the grouped cells in the K-Maps and write the corresponding Boolean expressions. By applying the K-Map method, we can obtain three possible minimized POS forms for Function 2.
Please note that the specific expressions and grouped cells for each function can be obtained by visually examining the K-Maps. It would be best to refer to a resource that allows you to draw and label the K-Maps to get the accurate results for Function 1 and Function 2.
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HELP ASAP!!!
Solve for m in the following equation.
4m/3= 8
m= 10
m= 6
m= 2
m= 96
You buy three more than twice as many pounds of apples as bananas. If you bought seven pounds of apples, how many pounds of bananas did you buy?
What is the correct equation and solution for this problem?
3p – 2 = 7; p = 3 pounds
2p – 3 = 7; p = 5 pounds
3p + 2 = 7; p = 3 pounds
2p + 3 = 7; p = 2 pounds
Thank you!!
The value of the unknown variable, m in the equation 4m / 3 = 8 is 6. option B
How to solve for unknown in an equation?4m / 3 = 8
cross product4m = 8 × 3
4m = 24
divide both sides by 4m = 24/4
m = 6
let
pounds of apple = apounds of bananas = bthree more than twice as many pounds of apples as bananas.
a = 2b + 3
If you bought seven pounds of apples, how many pounds of bananas did you buy?
b = 7 pounds
a = 2b + 3
7 = 2b + 3
7 - 3 = 2b
4 = 2b
b = 4/2
b = 2 pounds
So therefore, the correct equation and solution for this problem is 2p + 3 = 7; p = 2 pounds. option D
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trigonometry *find the value of x*
\( \cos(x) = \frac{b}{h} \\ \cos(x) = \frac{4 .9}{6.8} \\ \cos(x) = 0.720 \\ x = \cos^{ - 1} (0.720) \\ x = 44 \degree\)
Answer:
x ≈ 44°
Step-by-step explanation:
We will use a trigonometry function to solve for x. We can see that we have values for the adjacent side and hypotenuse. This means we will be using cosine. Cosine is \(\frac{adjacent }{hypotenuse}\)
cos(x) = \(\frac{adjacent }{hypotenuse}\) [Given]
cos(x) = \(\frac{4.9}{6.8}\) [Plug-in the values we have]
x ≈ 43.8969 [Find the inverse cosine function of both sides]
x ≈ 44° [Rounding to nearest degree]
HELPPPPPPP
For each graph below, state whether it represents a function.
Answer:
No, No, Yes, No, Yes, Yes
Step-by-step explanation:
A graph is a function if it passes the vertical line test (in other words, every vertical line that can be drawn intersects the graph at no more than one point).
This is because for a function, each input must map onto no more than one output.