9514 1404 393
Answer:
3.4%
Step-by-step explanation:
The total amount due is ...
A = P(1 +rt/12) . . . . . principal P, annual rate r, t months
33829.50 = 28500(1 +66/12r)
1.187 = 1 +5.5r . . . . . divide by 28500, simplify
0.185/5.5 = r = 0.034 = 3.4%
The interest rate on the loan is 3.4%.
Identify the properties used for the first two steps in simplifying 6ab2 + 4a - 3ab2 +3a²b-2a²b2.
6ab2-4a²b-3ab2+3a²b-2a²b2 = 4a²b+3a²b-3ab2+6ab2-2a²b2
= (4+3)a²b+(-3+6)ab2-2a²b2
= 7a+b+3ab2-2a²b2
Answer:
commutative property of additiondistributive propertyStep-by-step explanation:
6ab²+4a²b-3ab²+3a²b-2a²b²
= 4a²b+3a²b-3ab²+6ab²-2a²b² . . . commutative property of addition (twice)
= (4+3)a²b+(-3+6)ab²-2a²b² . . . . . . distributive property (twice)
= 7a²b+3ab²-2a²b²
_____
We have attempted to correct what we perceive to be typographical errors in the presentation of the problem. As written, you can't get to the second expression from the first, and the first expression doesn't match what you say you're trying to simplify.
Which equation can you use to solve for theta in the figure shown? A right triangle is shown. 2 sides have lengths of 45 feet and 31.2 feet and the hypotenuse has a length of 54.8 feet. The angle opposite to the side with length 45 feet is theta.
Answer:
45/58.4
Step-by-step explanation:
Answer: part 1: 45/54.8.
Part 2: 55.2
Step-by-step explanation:
Edge
What is the line segment BC?.
The length of BC is 10cm, in the given triangle.
What is are of the triangle?
The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.
BR = 3 cm, let's say AR = 4 cm, and AC = 11 cm.
Since tangents to an exterior point are always equal, we can conclude that BR = BP = 3 cm.
4 cm if AQ = AR
QC=AC-AQ=11 – 4 = 7 cm
Q = P = 7 cm
It follows that BC = BP+PC = 3 + 7 = 10 cm.
BC, therefore, has a length of 10 cm.
Therefore, BC is 10 cm long.
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28. Given M₁ = 35, M₂ = 45, and SM1-M2= 6.00, what is the value of t? -2.92 -1.67 O-3.81 2.75
The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.
M₁ = 35
M₂ = 45
SM1-M2 = 6.00
The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:
t = (M₁ - M₂) / SM1-M2
Substituting the given values into the formula:
t = (35 - 45) / 6.00
t = -10 / 6.00
t = -1.67
Therefore, we can conclude that the value of t is -1.67 for the samples given.
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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.
Given, M₁ = 35
M₂ = 45
SM1-M2 = 6.00
The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.
To calculate the t-value,
the formula we need to use here is:
t = (M₁ - M₂) / SM1-M2
Substituting the given values into the formula:
t = (35 - 45) / 6.00
t = -10 / 6.00
t = -1.67
Therefore, we can conclude that the value of t is -1.67 for the samples given.
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The measures of the three angles whose sum is 126° are in the extended ratio 3:4:7. Find the exact angle measure
Therefore, the measures of the angles are:
3x = 3(9) = 27 degrees
4x = 4(9) = 36 degrees
7x = 7(9) = 63 degrees
So the exact angle measures are 27°, 36°, and 63°.
An angle can be defined simply as:An angle is a figure in plane geometry that is produced by two rays or lines that share the same endpoint. Angle, which means "corner," is a translation of the Latin word "angulus." The shared endpoint of the two rays known as the vertex is sometimes referred to as the side of an angle.
Let the measures of the angles be 3x, 4x, and 7x, where x is a constant.
The sum of the three angles is 126 degrees, so we can write an equation:
3x + 4x + 7x = 126
Simplifying, we get:
14x = 126
Dividing both sides by 14, we get:
x = 9
Therefore, the measures of the angles are:
3x = 3(9) = 27 degrees
4x = 4(9) = 36 degrees
7x = 7(9) = 63 degrees
So the exact angle measures are 27°, 36°, and 63°.
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Tyrone has 16 model airplanes on his shelf. He has 4 times as many model airplanes as model trains. How many model trains does Tyrone have?
Write multiplication and division equations to model and solve the problem. Use m for the unknown
Which quadratic equation is equivalent to (x + 2)2 + 5(x + 2) – 6 = 0?
(u + 2)2 + 5(u + 2) – 6 = 0 where u = (x – 2)
u2 + 4 + 5u – 6 = 0 where u = (x – 2)
u2 + 5u – 6 = 0 where u = (x + 2)
u2 + u – 6 = 0 where u = (x + 2)
Answer:
we have
(x+2)^{2} +5(x+2)-6=0(x+2)
2
+5(x+2)−6=0
Let
u=(x+2)u=(x+2)
Substitute in the expression
(u)^{2} +5(u)-6=0(u)
2
+5(u)−6=0
therefore
the answer is
(u)^{2} +5(u)-6=0(u)
2
+5(u)−6=0 is equivalent to (x+2)^{2} +5(x+2)-6=0(x+2)
2
+5(x+2)−6=0
solve the initial value problem below using the method of laplace transforms. y′′−2y′−3y=0, y(0)=1, y′(0) = 2
To solve the initial value problem y'' - 2y' - 3y = 0, with y(0) = 1 and y'(0) = 2, we can use the method of Laplace transforms.
First, we take the Laplace transform of the given differential equation to obtain an algebraic equation in terms of the Laplace transform of the unknown function y(t). Then, we solve the algebraic equation for the Laplace transform of y(t) using standard algebraic techniques. Finally, we take the inverse Laplace transform to obtain the solution y(t) in the time domain.
Applying the Laplace transform to the given differential equation, we have s²Y(s) - sy(0) - y'(0) - 2(sY(s) - y(0)) - 3Y(s) = 0, where Y(s) represents the Laplace transform of y(t). Simplifying this equation, we get (s² - 2s - 3)Y(s) - (s - 2) = s²Y(s) - 3s - 4. Rearranging the equation, we have Y(s) = (s - 2) / (s² - 2s - 3).
To solve this equation for Y(s), we can decompose the expression into partial fractions, which yields Y(s) = 1 / (s - 3) - 1 / (s + 1). Taking the inverse Laplace transform of Y(s), we obtain y(t) = e^(3t) - e^(-t), which is the solution to the initial value problem.
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Tyrone's bank account had a balance of -$72.04 last week. His paycheck of $335.67 was deposited this week. If there have been no
other transactions, which of the following is true?
OA. Tyrone's current account balance is $263.63.
is $263
OB. Tyrone's current account balance is
$263.63.
OC. Tyrone's current account balance is -$407.71.
OD. Tyrone's current account balance is $407.71.
Hello, the correct answer to the question should be \(263.63\) dollars.
Tyrone does not have any money in his bank account. Also, his balance contains a negative symbol, which means that he owes money to the bank.
\(Balance=-72.04\)When his paycheck arrives, money will come into his account. This means that Tyrone will pay off his debt to the bank.
\(335.67-(72.04)\)Since the money coming into his account and his balance have different symbols, we will add the two values and get the result.
\(=263.63\) dollars.Doing this math problem I can’t find anywhere on here what the domain is or where to graph it or what the range is please help me
Yes, function C is a piecewise function because it is defined differently for different input values.
What the domain is or where to graph it?The graph of function C is given below:Graph of CThe domain of function C is all real numbers from 0 to 15.The range of function C is all real numbers from 0 to 120.Yes, function C is a piecewise function. It states that for the first 5 movies, passholders pay $8 per movie, and for all additional movies, up to a maximum of 15, they can watch for free. This is represented in the graph by two distinct sections of the graph where the slope of the line changes. The domain of C is all real numbers greater than or equal to 0, as a passholder can watch 0 movies, 1 movie, or any number of movies up to 15. The range of C is all real numbers greater than or equal to 8, as 8 is the cost for the first 5 movies. The maximum cost for a passholder to watch 15 movies is also 8, since additional movies are free.The graph of this function is composed of two lines, with the first line having a slope of 8 and a y-intercept of 0, and the second line having a slope of 0 and y-intercept of 40.The domain of this function is the set of integers from 0 to 15, since these are the only values of n that are valid for the function. The range of this function is {0, 8, 16, 24, 32, 40}, since these are the only possible costs that can be calculated with the function.To learn more about subset of algebraic functions refer to:
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David wants to buy 2 pineapples and some bananas. The price of 1 pineapple is $2.99. The price of bananas is $0.67 per pound. David wants to spend less than $10. Draw a graph to represent this inequality. Choose the answer choice that best describes the graph that represents the number of pounds of bananas David can buy.
A. a closed circle on 6, shaded to the left
B. a closed circle on 6, shaded to the right
C. an open circle on 6, shaded to the right
D. an open circle on 6, shaded to the left
Answer:
10 ≥ 2(2.99) + 0.67b
10 ≥ 5.98 + 0.67b
4.02 ≥ 0.67b
6 ≥ b
David can buy 6 pounds of bananas at most.
Step-by-step explanation:
Its A OR B
make me brainest please
Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage. Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In last five years, the market value of the house has increased by 4.8% per year 6. If she wants to sell the house today, the total transaction cost will be 5% of selling price Given the above information, please calculate the internal rate of return (IRR) of this investment in house
Can you show the math as far as formulas go?
Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.
Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.
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A professor collects 50 independent and identically distributed observations of variables Y and X for a regression. Her student wishes to use the same data to run the same regression but the student makes an error of entering each observation twice. That is the student enters observation 1 twice, observation 2 twice and so forth so that the student has a sample of 100. Which OLS assumption is violated if the student uses this data to run a regression? Suppose the student does run a regression, will the slope coefficients be different from the professor’s regression?
The coefficients obtained by the student may be less efficient and have larger standard errors compared to the professor's regression.
If the student enters each observation twice, resulting in a sample size of 100 instead of the original 50, the assumption of independent observations is violated in Ordinary Least Squares (OLS) regression. The OLS assumption assumes that the observations are independent, meaning that the value of one observation does not depend on the value of another observation.
In this case, the student's dataset contains repeated observations, which introduces dependence between observations. This violation of the independence assumption can lead to biased and inconsistent parameter estimates in the regression analysis.
Regarding the slope coefficients, if the student runs a regression using the duplicated data, the estimated coefficients may be different from the professor's regression. The duplication of observations inflates the sample size, potentially affecting the precision and accuracy of the estimates.
However, the direction and overall relationship between the variables may still be captured by the student's regression, although the estimates may not be as reliable.
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∂²p/∂r² + 1/r ∂p/∂r = ϕμC/k ∂p/∂t
derivation of equations
1-partial derivative diffusivity equation spherical flow
2- partial derivative diffusivity equation hemi- spherical flow
The partial derivative diffusivity equation for spherical flow is ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t, and for hemispherical flow, it is the same equation.
1. The partial derivative diffusivity equation for spherical flow is derived from the spherical coordinate system and applies to radial flow in a spherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.
2. The partial derivative diffusivity equation for hemispherical flow is derived from the hemispherical coordinate system and applies to radial flow in a hemispherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.
1. For the derivation of the partial derivative diffusivity equation for spherical flow, we consider a spherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the polar angle (φ). By assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in spherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.
2. Similarly, for the derivation of the partial derivative diffusivity equation for hemispherical flow, we consider a hemispherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the elevation angle (ε). Again, assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in hemispherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.
In both cases, the term ϕμC/k ∂p/∂t represents the source or sink term, where ϕ is the porosity, μ is the fluid viscosity, C is the compressibility, k is the permeability, and ∂p/∂t is the change in pressure over time.
These equations are commonly used in fluid mechanics and petroleum engineering to describe radial flow behavior in spherical and hemispherical geometries, respectively.
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For a car to qualify as a High Occupancy Vehicle (HOV), it must have at least _____ people.
A.
4
B.
2
C.
varies
D.
3
Answer: i would like to sad it varies
Step-by-step explanation: the number of people required for a Vehicle to be an HOV i would say exactly 2 and greater. The state Laws also applies, so i'll add that onto it varies
What is the solution of the inequality shown
below?
y+7≤-1
The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.
To solve the inequality y + 7 ≤ -1, we need to isolate the variable y on one side of the inequality sign.
Starting with the given inequality:
y + 7 ≤ -1
We can begin by subtracting 7 from both sides of the inequality:
y + 7 - 7 ≤ -1 - 7
y ≤ -8
The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.
In the context of a number line, all values to the left of -8, including -8 itself, will make the inequality true. For example, -10, -9, -8, -8.5, and any other value less than -8 will satisfy the inequality. However, any value greater than -8 will not satisfy the inequality.
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The following question may be like this:
What is a solution of the inequality shown below? y+7≤-1
I’ll mark u brainlist give an example how u got the answer.
Simplify: 6pq - 5pq + 8p2q
simplify the numbers that have like terms so 6pq - 5pq is 1pq
now you have pq (you can get rid of the one)
the equation should look like this: pq + 8p2q
if you wanna factor that, it'll be pq(8p+1)
how many solutions does this equation have ? 2q-3q=-q
Equation have infinity solution
Here the equation is 2q-3q =-q.
After solving this we have
-q = -q
As Left-hand side is equal to the right-hand side.
Therefore whatever the value we will put for the q, the left and right hand side remains the same.
Therefore this equation has an infinity solution.
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NEEP HELP ASAP LAST DAY OF SCHOOL PLS SHOW YOUR WORK
A rectangular field is 80 meters wide and 120 meters long. Give the length and width of another rectangular field that has the same perimeter but a larger area.
Width= ----- Meters
Length= ------ Meters
The width of the new rectangular field would be 0 meters, which means it would essentially be a line segment.
To find the length and width of another rectangular field that has the same perimeter but a larger area, we can use the following steps:
1. Calculate the perimeter of the given rectangular field:
Perimeter = 2 * (Length + Width)
= 2 * (120 meters + 80 meters)
= 2 * 200 meters
= 400 meters
2. Divide the perimeter by 2 to find the equal sides of the new rectangular field. Since the perimeter is divided equally into two sides, each side would be half of the perimeter length:
Side length = Perimeter / 2
= 400 meters / 2
= 200 meters
3. Now, we have the side length of the new rectangular field. However, we need to determine the length and width that would yield a larger area. One way to achieve this is to make one side longer and the other side shorter.
4. Let's assume the length of the new rectangular field is 200 meters. Since both sides have the same length, the width can be calculated using the formula for the perimeter:
Width = Perimeter / 2 - Length
= 400 meters / 2 - 200 meters
= 200 meters - 200 meters
= 0 meters
5. Therefore, the width of the new rectangular field would be 0 meters, which means it would essentially be a line segment. However, note that the question asks for a rectangular field with a larger area. Since the width cannot be zero, we can conclude that it is not possible to have a rectangular field with the same perimeter but a larger area than the given field.
In summary, it is not possible to find another rectangular field with the same perimeter but a larger area than the rectangular field with dimensions 80 meters wide and 120 meters long.
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Help with this ASAP please
Answer:
86
Step-by-step explanation:
43×2=86
bisector means halves an angle into two equal angles
The following table shows the values of x and y for a certain function.
x | 0 | 2 | 3 | 4 | 5
y | 2 | 3 | 4 | 5 | 6
What will be the value of y for the inverse of this function when x=3?
4
2
It cannot be determined from the given information.
0
3
Answer:
4
Step-by-step explanation:
Mona's age is 4 times Billy's age. The sum of their ages is 15. Fine the age of each.
Answer:
mona is 10 and billy is 5 :)
Step-by-step explanation:
Kenisha is about to call a Bingo number in a classroom game from 1-
75.
1. Describe an event that is likely to happen, but not certain, for the
number she calls.
2. Describe an event that is unlikely to happen, but not impossible, for
the number she calls.
3. Describe an event that is certain to happen for the number she calls.
PLEASE HELP WILL VOTE BRANLIEST ONLY IF ANSWER IS CORRECT 10 POINTS !!!!!!!!!
1. An event that is likely to happen, but not certain, for the number Kenisha calls is that it is a prime number. While there are several prime numbers between 1 and 75, it is not guaranteed that the number she calls will be prime. However, given the range of numbers, the probability of calling a prime number is relatively high.
2. An event that is unlikely to happen, but not impossible, for the number Kenisha calls is that it is a perfect square. Perfect squares are numbers that can be expressed as the square of an integer. In the range of 1 to 75, there are only a few perfect squares, so the chances of calling one as the bingo number are relatively low, but not impossible.
3. An event that is certain to happen for the number Kenisha calls is that it will be an integer. Since the game is played with whole numbers from 1 to 75, the number called will always be an integer, as it represents a specific whole number in the given range.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
The solution is given below.
1. An event that is likely to happen, but not certain, for the number Kenisha calls is that it will be an odd number. Since there are 75 numbers in total and half of them are odd, there is a higher probability that the number called will be odd.
2. An event that is unlikely to happen, but not impossible, for the number Kenisha calls is that it will be a perfect square. There are only a few perfect square numbers between 1 and 75, so the chances of calling a perfect square number are lower compared to other numbers.
3. An event that is certain to happen for the number Kenisha calls is that it will be a number between 1 and 75. Since the numbers in the game range from 1 to 75, any number called by Kenisha will definitely fall within this range.
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The numbers 1 through 10 are
written on individual cards and
placed in a bag. If you reach
into the bag and grab one card,
what is the probability that you
will grab the number 2 card?
Answer:
1/10
Step-by-step explanation:
SInce there are a total of 10 cards and only one card with the number 2, then out of the ten cards you only have a 1/10 chance of grabbing the number 2 card! Hope this helps :)
A recipe calls for 5/6 cup of flour Dixie wants to make 3/5 dixie currently has 3/4 cups of flour does she have enough to make the recipe
Answer:
No
Step-by-step explanation:
5/6 - 3/4
20 - 12 = 8
_____ __
24 24
Cancelling out, we have
=>1/3
She does not have enough cup of flour. She needs 1/3 more to be able to make the recipe.
Hope it helps
A local hamburger shop sold a combined total of 711 hamburgers and cheeseburgers on Monday. There were 61 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Monday?
Answer:
772 hamburgers sold on monday
Step-by-step explanation:
add the problem
Use the definition of Taylor series to find the Taylor series (centered at c ) for the function. f(x)=e 4x
,c=0 f(x)=∑ n=0
[infinity]
The answer is , the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:
\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)
The Taylor series expansion is a way to represent a function as an infinite sum of terms that depend on the function's derivatives.
The Taylor series of a function f(x) centered at c is given by the formula:
\(\large f(x) = \sum_{n=0}^{\infty} \frac{f^{(n)}(c)}{n!}(x-c)^n\)
Using the definition of Taylor series to find the Taylor series (centered at c=0) for the function f(x) = e^(4x), we have:
\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{e^{4(0)}}{n!}(x-0)^n\)
\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n\)
Therefore, the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:
\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)
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The Taylor series for f(x) = e^(4x) centered at c = 0 is:
f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...
To find the Taylor series for the function f(x) = e^(4x) centered at c = 0, we can use the definition of the Taylor series. The general formula for the Taylor series expansion of a function f(x) centered at c is given by:
f(x) = f(c) + f'(c)(x - c) + f''(c)(x - c)^2/2! + f'''(c)(x - c)^3/3! + ...
First, let's find the derivatives of f(x) = e^(4x):
f'(x) = d/dx(e^(4x)) = 4e^(4x)
f''(x) = d^2/dx^2(e^(4x)) = 16e^(4x)
f'''(x) = d^3/dx^3(e^(4x)) = 64e^(4x)
Now, let's evaluate these derivatives at x = c = 0:
f(0) = e^(4*0) = e^0 = 1
f'(0) = 4e^(4*0) = 4e^0 = 4
f''(0) = 16e^(4*0) = 16e^0 = 16
f'''(0) = 64e^(4*0) = 64e^0 = 64
Now we can write the Taylor series expansion:
f(x) = f(0) + f'(0)(x - 0) + f''(0)(x - 0)^2/2! + f'''(0)(x - 0)^3/3! + ...
Substituting the values we found:
f(x) = 1 + 4x + 16x^2/2! + 64x^3/3! + ...
Simplifying the terms:
f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...
Therefore, the Taylor series for f(x) = e^(4x) centered at c = 0 is:
f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...
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assuming that a rabbit runs at a speed of 12.0 meters per second. how far would the rabbit travel in 11.5 seconds?
The rabbit travels a distance of 138 m, and the average speed of the hiker for the entire trip is 7.2 km/h.
Given that,
Speed = 12.0 m
Time = 11.5 seconds
Now we need to calculate the distance by using the formula of distance:
d=v*t
d=12.0*11.5
d=138m
The rabbit travels a distance of 138 m.
Distance = 5.10 km
Time = 1 hour
Distance 16.5 km
Time = 2 hours
To calculate the average speed of the hiker for the entire trip using the formula of average speed:
v=D/T
Where, D = Total distance
T = Total time
Put the value into the formula:
v=5.10+16.5/1+2
v=7.2km/h
Therefore, the average speed of the hiker for the entire trip is 7.2 km/h.
Hence, This is the required solution.
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I NEEDDDD HELPPPP ITSSSS URGENTTTT!!!!!
Answer: 75.4
Step-by-step explanation:
The equation for the circumference for a circle is diameter times pi. 24 times pi is 75.3982236862. Rounded to the nearest tenth would make it 75.4.
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