Answer:
f(x) = -2x – 7 ; if x < -5
-(x + 2)² + 6 ; if -5 ≤ x < 0
√(x) – 1 ; if x ≥ 0
if p(x) is the taylor series for f centered at 0, then p( x - 1 ) is the taylor series for f centered at 1. True or False
True. If p(x) is the Taylor series for f centered at 0, then p(x-1) is not the Taylor series for f centered at 1. Instead, to obtain the Taylor series for f centered at 1, you would need to compute a new series with the center shifted to 1.
True. Shifting the center of a Taylor series by adding or subtracting a constant simply results in a new Taylor series centered at the shifted point. In this case, we are shifting the center from 0 to 1 by replacing x with (x-1) in the Taylor series for f, resulting in p(x-1).
In mathematics, the Taylor series or Taylor expansion of a function is an infinite number of points defined by the function at one point. For most ordinary functions, the partial function and its Taylor series are equal at point. The first n + 1 terms of the Taylor series form an n-order polynomial called the nth-order Taylor polynomial function. Taylor polynomials are generally approximate for functions that get better as n increases. Taylor's theorem provides a quantitative estimate of the resulting error using this approach. If the series of Taylor functions converge, the sum is the limit of an infinite number of Taylor polynomials.
A function can diverge from the equation of the Taylor series even if the Taylor series converges. A function is the definition of a point x if it is equal to the sum of the Taylor series over an open interval (or opening in the complex plane) containing x. This means that transactions are resolved anywhere on the clock (or disk).
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25% of a number is a lb. please help
Answer:
4 lb
Step-by-step explanation:
х
Which expression is equivalent to
1. 3
--x?
4 4
1 (1+30)
(1-3x)
(-1+3x)
O 4(1 + 3x)
Answer:
Step-by-step explanation:
1/4 -3/4 x=
=1/4(1-3x)
second choice
What is the ratio 5to8
Answer:
5/8= .625
Step-by-step explanation:
Answer:
5:8
Step-by-step explanation:
N/A
I need help me thank you
Step-by-step explanation:
s = 17b
when b =2:
s = 17b
s = 17(2)
s = 34
when b = 4
s = 17b
s = 17(4)
s = 68
Suppose f(x,y,z)= x z +y 2 +z 2 1 and W is the bottom half of a sphere of radius 6 . Enter rho as rho,ϕ as phi, and θ as theta. (a) As an iterated integral, ∭ W fdV=∫ AB ∫ CD ∫ EF drhodϕdθ with limits of integration (b) Evaluate the integral.
To evaluate the iterated integral ∭W fdV, where f(x, y, z) = xz + y^2 + z^2 and W is the bottom half of a sphere with radius 6, we can use spherical coordinates. The integral can be expressed as ∫AB ∫CD ∫EF ρ^2 sin(ϕ) f(ρ, ϕ, θ) dρ dϕ dθ, and the limits of integration need to be determined based on the geometry of the region.
In spherical coordinates, the integral ∭W fdV can be written as ∫AB ∫CD ∫EF ρ^2 sin(ϕ) f(ρ, ϕ, θ) dρ dϕ dθ, where ρ represents the radial distance, ϕ represents the polar angle, and θ represents the azimuthal angle.
Since W is the bottom half of a sphere with radius 6, the limits of integration need to be determined accordingly. The radius, ρ, varies from 0 to 6, as it represents the distance from the origin to the surface of the sphere. The polar angle, ϕ, ranges from 0 to π/2, as we are considering the bottom half of the sphere. The azimuthal angle, θ, can span the full range of 0 to 2π.
To evaluate the integral, we substitute the function f(ρ, ϕ, θ) = ρz + y^2 + z^2 into the integral expression and calculate the iterated integral ∫AB ∫CD ∫EF ρ^2 sin(ϕ) (ρz + y^2 + z^2) dρ dϕ dθ using the determined limits of integration. The resulting value will be the evaluation of the integral.
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Twice the difference of a number and 4 to is 5
Thus, the value of the unknown number for the given word problem is found as :x = 6.5.
Explain about the word problems:A word problem is an exercise in mathematics that takes the form of such a hypothetical query and requires the solution of equations and mathematical analysis.
Using the "GRASS" method to solve word problems is a solid strategy. Given, Required, Analytic, Solution, and Statement is also known as GRASS. A word issue can be simplified using GRASS, making it simpler to solve.
Given word problems:
Twice the difference of a number and 4 is 5
Let the unknown number be 'x'.
Now,
The difference of the number and 4 : x - 4
Twice the result : 2(x - 4)
The outcome equals the 5.
2(x - 4) = 5 (Requires equation)
Solve the expression to find the number:
2(x - 4) = 5
2x - 8 = 5
2x = 5 + 8
2x = 13
x = 13/2
x = 6.5
Thus, the value of the unknown number for the given word problem is found as :x = 6.5.
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complete question:
Twice the difference of a number and 4 is 5. Find the unknown number.
Please help me pass this assignment
which expression is equivalent to (125^2/ 124^4/3)
The answer is 25.
What is numerator and denominator?The value above the horizontal line is the numerator in a fraction. It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the vinculum. It indicates the overall total of all of the equal portions.For instance, the fraction bar is the line that separates the numbers 4 and 5, and 45 is a fraction. Here, the numerator is the number above the fraction bar, and the denominator is the number below the fraction bar. The denominator, or the number of pieces out of the whole, is represented by a numerator.Multiplying the numerator times the numerator and denominator. Denominator. The answer should be lowered to a mixed number in the simplest form.The expression is equivalent to \(\frac{125^{2} }{125^{\frac{4}{3}} }\) :
\(\frac{125^{2} }{125^{\frac{4}{3}} } =125^{2-(\frac{4}{3}) }\)
\(=125^{\frac{2}{3} }\)
\(125=5x^{3}\)
\((5^{3} )^{\frac{2}{3}} =5\frac{6}{3} =5^{2} =25\)
Therefore, The answer is 25.
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Choose an expression that is equivalent to negative four raised to the fourth power divided by negative four raised to the second power.
negative four raised to the second power divided by negative four raised to the fourth power
negative four raised to the fifth power divided by negative four
negative four raised to the sixth power divided by negative four raised to the fourth power
negative four divided by negative four raised to the fifth power
Answer:
C
Step-by-step explanation:
negative four raised to the sixth power divided by negative four raised to the fourth power
because negative four raised to the fourth power divided by negative four raised to the second power = negative four raised to the second power
negative four raised to the sixth power divided by negative four raised to the fourth power also = negative four raised to the second power
The answer is A: negative four raised to the second power divided by negative four raised to the fourth power. This is obtained by applying the rules of exponents, specifically, when dividing with the same base, subtract the exponents.
Explanation:This question pertains to exponents division rules. According to the rule of Power of a Power in exponents, when you divide expressions with the same base, you subtract the exponents. So if you have negative four raised to the fourth power (-4⁴) and you want to divide it by negative four raised to the second power (-4²), you subtract 2 from 4 to get an exponent of 2. This results in a negative four raised to the second power (-4²). So, the correct option from the given choices in your question is A: negative four raised to the second power divided by negative four raised to the fourth power.
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4∣3c+5∣=16c I know the answer is five but I don't know how to get there
Answer:
\(c = 5\), explanation for how to get there
Step-by-step explanation:
If we have the equation \(4|3c+5| = 16c\), we want to isolate c on one side and find it's value.
Let's first divide both sides by 4.
\(4|3c+5|\div4 = 16c\div4\\\\|3c + 5| = 4c\)
Now let's solve for the absolute value. We know that:
\(3c + 5 = 4c\)
or
\(3c + 5 = -4c\)
Possibility 1:
\(3c + 5 = 4c\)
Subtract 3c from both sides:
\(5 = c\)
Possibility 2:
\(3c + 5 = -4c\)
Add 4c to both sides:
\(7c + 5 = 0\)
Subtract 5 from both sides:
\(7c = -5\)
Divide both sides by 7:
\(c = \frac{-5}{7}\)
Plugging both of these values into the equation, we can see that only 5 works.
Hope this helped!
HELP! If the area of a rectangle is 10x^2+3x-4 and the width is 2x-1, what is the side length of the rectangle?
Answer:
5x+4
Step-by-step explanation:
HAAAAAALLLLLLLPPPPPPPPPP MEEEEEEEEE
Answer:
9
Step-by-step explanation:
plug -20 into x
-20+3y=7
solve
add 20 to both sides
3y=27
y=9
if the linear correlation between two variables is​ negative, what can be said about the slope of the regression​ line?
if the linear correlation between two variables is​ negative, correlation between two variables corresponds to a negative slope in the regression line.
If the linear correlation between two variables is negative, it indicates that there is a negative relationship between the variables. In other words, as one variable increases, the other variable tends to decrease.
In terms of the slope of the regression line, when the correlation is negative, the slope of the regression line will also be negative. This means that for every unit increase in the independent variable, the dependent variable is expected to decrease by the value of the slope.
The slope of the regression line represents the change in the dependent variable for a one-unit change in the independent variable. In the case of a negative correlation, the slope will be negative to reflect the negative relationship between the variables.
Therefore, a negative correlation between two variables corresponds to a negative slope in the regression line.
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What’s the answer for ; x-3=6
Answer:
9
Step-by-step explanation:
X-3=6
X=6+3
X=9
(Minus becomes plus when we move it to the other side of the equal sign
And plus becomes minus )
Brainliest please!
Hope this helps!
Be my friend!
Answer:
x=9
Step-by-step explanation:
x-3=6
Add 3 to both sides
x=9
Help I need this urgently please help!
Using translation concepts, the transformation is defined by:
J. A translation of triangle XYZ to the right.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the orientation of the triangle remains the same, hence it is a translation of the triangle to the right.
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A student solved this problem and said the answer was 5 1 4 14 miles. Danielle ran 3 1 8 18 miles on Tuesday, 4 1 2 12 miles on Wednesday, and 5 1 4 14 miles on Thursday. How far did Danielle run altogether? Is the student's answer reasonable? No, the answer is not reasonable. It should be about 13 miles. Yes, the answer is reasonable. No, the answer is not reasonable. It should be about 2 miles. No, the answer is not reasonable. It should be about 20 miles.
Question
A student solved this problem and said the answer was \(5\frac{1}{4}\) miles. Danielle ran \(3\frac{1}{8}\) miles on Tuesday, \(4\frac{1}{2}\) miles on Wednesday, and \(5\frac{1}{4}\) miles on Thursday. How far did Danielle run altogether? Is the student's answer reasonable?
- No, the answer is not reasonable. It should be about 13 miles.
- Yes, the answer is reasonable.
- No, the answer is not reasonable. It should be about 2 miles.
- No, the answer is not reasonable. It should be about 20 miles.
Answer:
- No, the answer is not reasonable. It should be about 13 miles.
Step-by-step explanation:
Given
Student solution = \(5\frac{1}{4}\) miles.
Miles covered on Tuesday = \(3\frac{1}{8}\) miles
Miles covered on Wednesday = \(4\frac{1}{2}\) miles
Miles covered on Thursday = \(5\frac{1}{4}\) miles
Required
- Total distance covered by the student
- Is the student answer reasonable?
To calculate the actual distance covered by Danielle, we simply add the distance covered on each day,
This goes thus
Distance = \(3\frac{1}{8}\) + \(4\frac{1}{2}\) + \(5\frac{1}{4}\)
Convert to Improper Fractions
Distance = \(\frac{25}{8}\) + \(\frac{9}{2}\) + \(\frac{21}{4}\)
Take LCM
Distance = \(\frac{25 + 36 + 42}{8}\)
Distance = \(\frac{103}{8}\)
Distance = 12.875
From the calculations above, we can conclude that the student's answe is not reasonable because his calculation (\(5\frac{1}{4}\) miles) is much more smaller than the actual result 12.875 miles
From option A through D, Only option A is correct because 12.875 miles cam be approximated to 13 miles.
Hence,
A. - No, the answer is not reasonable. It should be about 13 miles.
is the right answer
Determine all values of h and f for which the system x + 3y = h and -4x + ky = -9 has no solution.
For any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.
To determine the values of h and okay for which the device of equations has no answer, we want to locate the situations underneath which the equations are inconsistent or parallel.
The given system of equations is:
Equation 1: x + 3y = h
Equation 2: -4x + ky = -9
For the gadget to haven't any answer, the lines represented with the aid of these equations should be parallel and in no way intersect. In different phrases, the slopes of the traces need to be equal, but the y-intercepts should be specific.
Let's first discover the slopes of the traces. The slope-intercept form of Equation 1 is y = (-1/3)x + (h/3), wherein the slope is -1/3. The slope-intercept shape of Equation 2 is y = (4/k)x - (9/k), wherein the slope is 4/k.
For the strains to be parallel, the slopes should be equal. Therefore, we have the condition: -1/3 = 4/k.
To locate the values of h and okay for which the gadget has no answer, we need to locate the values of h that satisfy the situation -1/3 = 4/k.
Solving this equation for ok, we've got:
-1/3 = 4/k
-1 = 12/k
k = -12
Substituting k = -12 returned into the equation -1/3 = 4/k, we've:
-1/3 = 4/(-12)
-1/3 = -1/3
Since the equation holds real for any value of h, there aren't any restrictions at the price of h.
Therefore, for any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.
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The system of equations has no solution when k is equal to 12. The value of h can be any real number.
To determine the values of h and f for which the system has no solution, we need to analyze the coefficients of the variables and the constants in the equations.
The given system of equations is:
x + 3y = h
-4x + ky = -9
We can rewrite the second equation as:
-4x + ky = -9
Dividing both sides of the equation by -4, we get:
x - (k/4)y = 9/4
Comparing the coefficients of x and y in the two equations, we can see that the slopes of the lines represented by the equations are different when k is not equal to 12.
Therefore, for the system to have no solution, k must be equal to 12.
As for the value of h, it can be any real number since it does not affect the slopes of the lines.
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katie, elizabeth and scott volunteer at a hospital in one week. katie volunteers 3 more hours than elizabeth and scott volunteers 1 hour less than katie. in over 3 weeks the number of hours katie volunteers is equal to the sum of elizabeth and scotts volunteer hours in 3 weeks
Step-by-step explanation:
ALGEBRA 1
Lilly S. asked • 08/16/17
3 girls get volunteer hours.
Katie, Elizabeth, and Siobhan voluenteer at the hospital. In a week, Katie volunteers 3 hours more than Elizabeth does and Siobhan volunteers 1 hour less than Elizabeth. Over 3 weeks, the number of hours Katie volunteers is equal to the sum of Elizabeth's and Siobhan's volunteer hours in 3 weeks.
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1 Expert Answer
By:
Best
Andy C. answered • 08/16/17
TUTOR 4.9 (27)
Math/Physics Tutor
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We know nothing about Elizabeth hours, so that is where you assign the variable.
Elizabeth = X
Katie = X+3
Siobhan = X -1
Assuming this holds true over 3 weeks,
3(x+3) = 3X + 3(x-1)
3x + 9 = 3x + 3x - 3
3x + 9 = 6x - 3
0 = 6x - 3 - 3x - 9
0 = 3x - 12
12 = 3x
x=4
in one week:
Elizabeth volunteers 4 hours
Katie volunteers 7 hours
Siobhan volunteers 3 hours
over three weeks:
Elizabeth volunteers 12 hours
Katie volunteers 21 hours
Siobhan voluteers 9 hours
21 = 12 + 9, so yes it checks.
1. Write a story to match the equation x + 2 1/2 equals 10
x=0.5. so therefore here is your answer
Pls help me I’ll give 100 points
Answer:
Try option B
Step-by-step explanation:
sub to Pen Paper
Hi there!
So what we have to do here is...
turn 2³ - 1 into 2·2·2-1=4·2=8-1=7.
\(\frac{35}{7}=5\)
Final Result: 5
Subtract 9 from e. Then, divide by 2.
Which of the following expressions matches the statement above?
A.
9 - e ÷ 2
B.
e - 9 ÷ 2
C.
(e - 9) ÷ 2
D.
(9 - e) ÷ 2
Answer:
c
Step-by-step explanation:
bc
Question 11 i’m confused
USE WORSKIN METHOD TO FIND THE GENERAL SOLUTION OF THE FOLLOWING SECOND ORDER LINEAR ORDINARY DIFFERNTIAL EQUATION? y²-10 y² + 25 Y ====2=²2
The general solution of the given second-order linear ordinary differential equation is y = (c1 + c2x)e^(5x) + 22/25, where c1 and c2 are arbitrary constants.
The given differential equation is y'' - 10y' + 25y = 22. To find the general solution, we first need to find the complementary function by solving the associated homogeneous equation, which is y'' - 10y' + 25y = 0.
Assuming a solution of the form y = e^(rx), we substitute it into the homogeneous equation and obtain the characteristic equation r^2 - 10r + 25 = 0. Solving this quadratic equation, we find that r = 5 is a repeated root.
Therefore, the complementary function is of the form y_c = (c1 + c2x)e^(5x), where c1 and c2 are arbitrary constants.
Next, we find a particular solution for the non-homogeneous equation y'' - 10y' + 25y = 22. Since the right-hand side is a constant, we can assume a constant solution y_p = a.
Substituting y_p = a into the differential equation, we find that 25a = 22, which gives a = 22/25.
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Round 7,582.149 to:
tens
and
hundredths
Answer:
Round to Tens
7,580
Round to hundredths
7,582.15
Plz help me with this o will give Brainlyest
Answer:
1) 12
2) 106
3) 42
Step-by-step explanation:
Solve using PEMDAS.
Hope this helps. Pls give brainliest.
Find the value.
320.1 x 10 power of 6
*QUICK HELP PLEASE
Which pairs of angles are adjacent? Select all that apply.
Answer:
1 and 3; 1 and 4; 2 and 3; 2 and 4
Step-by-step explanation:
Adjacent angles are those with a common side and common vertex (corner point). Of your choices, the ones provided above are the ones that meet the needs of adjacent angles.
is there a difference in blood type frequency by location (in this case, state)? the chi-square value for this test is 5.65. location florida iowa missouri total a 122 1781 353 2256 blood b 117 1351 269 1737 type ab 19 289 60 368 o 244 3301 713 4258 total 502 6722 1395 8619 conduct a hypothesis test. give the null and alternative hypothesis, the pvalue, the decision and conclusion.
There is insufficient evidence to suggest that there are differences in the frequency of blood types by location.
Yes, there may be differences in the frequency of blood types in different locations (states). to test this hypothesis.
Null hypothesis:
There is no difference in blood type frequency by location (state).
Alternative hypothesis:
There are differences in the frequency of blood types depending on the location (state).
The degrees of freedom for this test are (r - 1)(c - 1). where r = number of rows and c = the number of columns. In this case, we have 4 rows and 3 columns, so (4 - 1)(3 - 1) = 6 degrees of freedom.
Using a chi-square table or calculator, you'll discover that the basic value for a chi-square dispersion with 6 degrees of freedom and an importance level of 0.05 is 12.592.
The chi-square value calculated from the given data is 5.65.
The p-value can be decided to employ a chi-square dispersion table or a calculator with 6 degrees of flexibility and a chi-square value of 5.65.
The p-value is the likelihood of obtaining a chi-square value that's more extreme than or greater than the computed value, given the invalid theory is true.
Employing a chi-square table or calculator, we are able to discover that for a chi-square value of 5.65 and 6 degrees of freedom, the p-value is roughly 0.578.
The calculated chi-square esteem of 5.65 is less than the basic value of 12.592 and the p-value of 0.578 is more prominent than the centrality level of 0.05, so the invalid theory isn't rejected.
Therefore, there is insufficient evidence to suggest that there are differences in the frequency of blood types by location .
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Absolute Value
-2 l3dl =4
Answer -2|3d| = 4
Step-by-step explanation:
no solution