Answer:
4,6,8
Step-by-step explanation:
PLEASE HELP. 23 POINTS AND BRAINLIST.
Answer:
Step-by-step explanation:
in order to get a job at a convenience store, you had to take a lie-detector test. you were asked a series of questions and you answered truthfully that you had never stolen from your employer or lied during an interview. unfortunately, you were not hired, because measurements recorded during these questions indicated that you were lying. what is the most likely explanation for this?
it is important to keep in mind that the results of a polygraph test should not be taken as absolute proof of deception or truthfulness, and that other factors should also be considered in evaluating a job applicant
While lie-detector tests (also known as polygraph tests) are sometimes used as part of a job application process, their reliability and accuracy are controversial and have been questioned by many experts in the field. The test measures physiological responses such as heart rate, blood pressure, and sweat gland activity in response to questions, and the results are interpreted by a trained examiner to determine whether the person is being truthful or deceptive.
However, there are several factors that can affect the results of a polygraph test, including the person's physiological state (such as anxiety or stress), the wording and interpretation of the questions, and the skills and biases of the examiner. False positives (indicating deception when the person is actually telling the truth) and false negatives (indicating truthfulness when the person is actually lying) are also possible.
In your case, it is possible that the lie-detector test gave a false positive result, indicating deception when you were actually telling the truth. There could be various reasons for this, such as anxiety or stress during the test, a misunderstanding or misinterpretation of the questions, or an error in the administration or interpretation of the test.
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what's the coefficient in the equation m-22
Answer:
that does not make sense ?????????????????????????????????????????
Find the second Taylor polynomial P2(x) for the function f (x) = ex cos x about x0 = 0.
a. Use P2(0.5) to approximate f (0.5). Find an upper bound for error |f (0.5) − P2(0.5)| using the error formula, and compare it to the actual error.
b. Find a bound for the error |f (x) − P2(x)| in using P2(x) to approximate f (x) on the interval [0, 1].
c. Approximate d. Find an upper bound for the error in (c) using and compare the bound to the actual error.
a) An upper bound for error |f (0.5) − P2(0.5)| using the error formula is 0.0208
b) On the interval [0, 1], we have |R2(x)| <= (e/6) √10 x³
c) The maximum value of |f(x) - P2(x)| on the interval [0, 1] occurs at x = π/2, and is approximately 0.1586.
a. As per the given polynomial, to approximate f(0.5) using P2(x), we simply plug in x = 0.5 into P2(x):
P2(0.5) = 1 + 0.5 - (1/2)(0.5)^2 = 1.375
To find an upper bound for the error |f(0.5) - P2(0.5)|, we can use the error formula:
|f(0.5) - P2(0.5)| <= M|x-0|³ / 3!
where M is an upper bound for the third derivative of f(x) on the interval [0, 0.5].
Taking the third derivative of f(x), we get:
f'''(x) = ex (-3cos x + sin x)
To find an upper bound for f'''(x) on [0, 0.5], we can take its absolute value and plug in x = 0.5:
|f'''(0.5)| = e⁰°⁵(3/4) < 4
Therefore, we have:
|f(0.5) - P2(0.5)| <= (4/6)(0.5)³ = 0.0208
b. For n = 2, we have:
R2(x) = (1/3!)[f'''(c)]x³
To find an upper bound for |R2(x)| on the interval [0, 1], we need to find an upper bound for |f'''(c)|.
Taking the absolute value of the third derivative of f(x), we get:
|f'''(x)| = eˣ |3cos x - sin x|
Since the maximum value of |3cos x - sin x| is √10, which occurs at x = π/4, we have:
|f'''(x)| <= eˣ √10
Therefore, on the interval [0, 1], we have:
|R2(x)| <= (e/6) √10 x³
c. To approximate the maximum value of |f(x) - P2(x)| on the interval [0, 1], we need to find the maximum value of the function R2(x) on this interval.
To do this, we can take the derivative of R2(x) and set it equal to zero:
R2'(x) = 2eˣ (cos x - 2sin x) x² = 0
Solving for x, we get x = 0, π/6, or π/2.
We can now evaluate R2(x) at these critical points and at the endpoints of the interval:
R2(0) = 0
R2(π/6) = (e/6) √10 (π/6)³ ≈ 0.0107
R2(π/2) = (e/48) √10 π³ ≈ 0.1586
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Which graph represents the solution to the inequality ??..
Option (D) is the graph that illustrates how the inequality can be resolved.
What is inequality?Inequality is a mathematical term used to describe the notion that two values are not equal.
It compares two values or expressions using inequality symbols such as "" (less than), ">" (greater than), "=" (less than or equal to), ">=" (greater than), or "" (not equal to).
The shaded area to the right of 12 shows all real numbers bigger than 12, which is the solution to the inequality. The open circle at 12 denotes that 12 is not part of the answer.
We first simplify the inequality (9x+27)/3 > x + 33 before graphing the solution:
(9x+27)/3 > x + 33
3x + 9 > x + 33
2x > 24
x > 12
Given this discrepancy, x must be bigger than 12. Therefore, all real numbers larger than 12 are the answer.
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Find the area and perimeter. Stuck on this one need help
9514 1404 393
Answer:
area: 114 square unitsperimeter: 44 unitsStep-by-step explanation:
The figure is a trapezoid with bases 12 and 7, and a height of 12. The area formula is ...
A = (1/2)(b1 +b2)h
A = (1/2)(12 +7)(12) = 114 . . . square units area
__
The length of side AB can be found using the distance formula:
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((6 -(-6))^2 +(1 -6)^2) = √(144 +25) = 13
The sum of the side lengths is then ...
13 +7 +12 +12 = 44 . . . units perimeter
You want to install a 1 yd. Wide walk around a circular swimming pool. The diameter of the pool is 23 yd. What is the area of the walk? Use 3.14 for pi π.
Answer:
75.36 yd²
Step-by-step explanation:
To solve, you need to consider the walkway and the pool as one circle and find the are. The diameter of this circle is 25 yd. This means that the radius is 12.5 yd.
A = πr²
A = π(12.5)²
A = 156.25π
A = 490.625 yd²
Then, you need to find the area of the pool alone. Since the diameter of the pool is 23 yd., the radius is 11.5 yd.
A = πr²
A = π(11.5)²
A = 132.25π
A = 415.265 yd²
Subtract the two areas to find the are of the walk.
490.625 - 415.265 = 75.36 yd²
The area is 75.36 yd²
A rocking chair costs $40.28. How much would it cost to buy 2 rocking chairs?
Answer:
80.56
Step-by-step explanation:
Just multiply the value of the rocking chair by the total amount of the ones you want to buy 40.28 x 2 = 80.56
Answer:
80.56
Step-by-step explanation:
Find all solutions in the interval \( [0,2 \pi) \). \[ \cos ^{2} \theta-7 \cos \theta-1=0 \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( x=(Type your answer in radians. Round to four decimal places as needed. Use a comma to separate answers as needed.) B. There is no solution.
We have to convert the angle from degrees to radians.θ= 129.41° * π/180
θ= 2.2565
So, \(\( x=(0.8598, 2.2565)\)\) in radians. Hence, the correct option is A.
Given equation is, cos²θ−7cosθ−1=0
We have to find all solutions in the interval \(\([0,2 \pi)\).\)
We know that the solutions for the given equation can be obtained by solving the quadratic equation which is obtained by considering cosθ as a variable.
The quadratic equation obtained is,
cosθ= (7 ± √53)/2
Using the inverse of the cosine function, we get the solution;
θ = cos^-1 (7+√53)/2 or
θ = cos^-1(7-√53)/2
Now we need to find the solution in the interval of [0, 2π).
So we have,θ = cos^-1 (7+√53)/2 ....(1)
θ = cos^-1(7-√53)/2 ....(2)
From the equation (1), we get,
cosθ= (7 + √53)/2
cosθ= 0.6404
So,θ= cos^-1(0.6404)
θ= 49.31°
Now, we have to convert the angle from degrees to radians.θ= 49.31° *
π/180θ= 0.8598
Similarly, from equation (2), we get,
cosθ= (7 - √53)/2
cosθ= -1.1404
So,θ= cos^-1(-1.1404)
θ= 129.41°
Now, we have to convert the angle from degrees to radians.θ= 129.41° * π/180
θ= 2.2565
So,
\(\( x=(0.8598, 2.2565)\)\) in radians.
Hence, the correct option is A.
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help for BRAINLIEST! Find x and y.
The values of x and y are 65 and 55 respectively
How to determine the values of x and y?From the figure, the parallel lines are represented as:
<< and <
This means that corresponding angles are equal
From the figure, we have:
Corresponding angles y and 55
This means that
y = 55
To calculate the measure of x, we use the following equation
x + y = 120 ---- external angle on a triangle
Substitute y = 55 in x + y = 120
x + 55 = 120
Subtract 55 from both sides
x = 65
Hence, the values of x and y are 65 and 55 respectively
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What are the possible measures of the triangle’s sides? Select all that apply.
Answer:
since a whole triangle is 180 you can do 60×3
Answer:
Step-by-step explanation:
Whole triangle = 180°
90 + 60 + 30
can anyone help me with this
Answer:
u = 120
Step-by-step explanation:
Answer:
160
Step-by-step explanation:
bottom triangle the angle beside 30 degrees. to get it, it is 180-140 = 40 degrees
then you do 180-30-40 to get the angle of the top angle of the bottom triangle. which is 110 degrees
you flip that up to the top triangle, which then you find the angle beside "u" which is 180-50-110, which is 20 degrees
then you do 180-20 to get "u"
which it is 160 degrees
if the surface of the water is at an elavation 0 meter , which
person is located at an elavation of 10 meter
When the surface of the water is at an elevation 0 meters, the person that is located at an elevation of -10 meters will be B. Jace, who is exploring a cave that is 10 meters below the surface of the water.
How to illustrate the information?It should be noted that from the information, it was stated that the surface of the water is at an elevation 0 meters.
Therefore, when the surface of the water is at an elevation 0 meters, the person that is located at an elevation of -10 meters will be Jace, who is exploring a cave that is 10 meters below the surface of the water.
In conclusion, the correct option is B.
If the surface of the water is at an elevation 0 meters, which person is located at an elevation
of -10 meters?
Noa, who is floating on his back in the water 10 meters behind a boat
Jace, who is exploring a cave that is 10 meters below the surface of the water
Marcus, who is swimming 10 meters below a bird flying overhead
Eleni, who is standing on a pier 10 meters above the surface of the water.
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Suppose that (X, d, T) is a discrete dynamical system and X is finite. Prove that (X, d, T) has a periodic point.
The discrete dynamical system (X, d, T) has a periodic point, which is x.
To prove that a discrete dynamical system (X, d, T) with finite X has a periodic point, follow these steps:
1. Since X is finite, there is a finite number of elements in X. Let's say there are N elements in X.
2. Consider applying the transformation T to an arbitrary point x in X. Since T is a function from X to X, the result of applying T to x will also be in X. In other words, T(x) is also an element of X.
3. Now, apply the transformation T repeatedly to x. We will obtain a sequence of points x, \(T(x), T^2(x), T^3(x), ..., T^N(x),\)where \(T^n(x)\) means applying T n times to x.
Since there are N elements in X and we have applied T N times, by the pigeonhole principle, there must be at least one point that repeats in the sequence.
4. Let's say \(T^i(x) = T^j(x)\) for some i < j. Then, \(T^i(T^{j-i}(x)) = T^j(T^{j-i}(x))\), and we can apply \(T^{j-i}\) to both sides of the equation, which gives \(T^i(x) = T^j(x).\)
5. This shows that x has a period of (j-i). Thus, the discrete dynamical system (X, d, T) has a periodic point, which is x.
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Drag each response to the correct location on the table. Each response can be used more than once, but not all responses will be used.
Consider the two exponential equations shown. Identify the attributes for each equation to complete the table.
8.9%
250 89%
W
40 =
Decay
250 (0.89)
Initial Value::
Growth or Decay::
Growth/Decay Rate::
11%
F
40
Growth
250 =
111%
40(1.11)
Initial Value:
Growth or Decay:
Growth/Decay Rate::
The equation is y = 250(0.89)^x and the decay rate is 11%.
How to calculate the values?The initial value will be:
= 250(0.89)^x
= 250(0.89^0)
= 250
The decay rate will be:
= 1 - 0.89
= 0.11
= 11%
In conclusion, the equation is y = 250(0.89)^x and the decay rate is 11%.
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I would like the answers to one and two bit the bottom ones
The numeric values for the functions are given as follows:
6 - a) f(-2) = -13.
6 - b) g(4) = 11.
How to find the numeric value of a function?To find the numeric value of a function, we replace each instance of the variable by the desired value.
At item 6a, the function is given by:
f(x) = 5x - 3.
The numeric value at x = -2 is:
f(-2) = 5(-2) - 3 = -10 -3 = -13.
Hence f(-2) = -13.
At item 6b, the function is given by:
g(x) = 0.5x² + 3.
The numeric value at x = 4 is:
g(4) = 0.5(4)² + 3 = 8 + 3 = 11.
Hence g(4) = 11.
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The baker made a batch of chocolate chip, oatmeal raisin, and sugar cookies. if p(chocolate chip) = 18%, interpret the likelihood of randomly selecting a chocolate chip cookie from the batch. a. likely b. unlikely c. equally likely and unlikely d. this value is not possible to represent probability of a chance event.
Answer: Either Likely or This value is not possible to represent probability of a chance event.
Step-by-step explanation:
So, if P = Chocolate Chip cookies, it is 68%, its more then a 50/50 percentage so most kids would **probably** choose Chocolate Chip cookies so it could be likely.
Hope this helps!
Find all zeros of the following polynomial using the Linear Factors Theorem. f(x)=x^3-12x^2+37x-40
By applying the Linear Factors Theorem, we successfully factorized the polynomial f(x) = x^3 - 12x^2 + 37x - 40 into its linear factors. The zeros of the polynomial are x = 1, x = 5, and x = 8.
To find the zeros of the polynomial f(x) = x^3 - 12x^2 + 37x - 40 using the Linear Factors Theorem, we need to factorize the polynomial into its linear factors.
Step 1: Look for integer factors of the constant term.
The constant term of the polynomial is -40. We need to check for the integer factors of -40: ±1, ±2, ±4, ±5, ±8, ±10, ±20, ±40.
Step 2: Apply synthetic division or evaluate the polynomial at each potential factor.
We substitute each potential factor into the polynomial and check if the result is zero. By testing the factors, we find that x = 1 is a zero of the polynomial.
Step 3: Divide the polynomial by the found zero.
Using synthetic division or long division, divide the polynomial by x - 1 to obtain the quotient:
(x^3 - 12x^2 + 37x - 40) ÷ (x - 1) = x^2 - 11x + 40.
Step 4: Factorize the quotient.
The quotient obtained in Step 3, x^2 - 11x + 40, can be factored as (x - 5)(x - 8).
Step 5: Combine the factors.
The original polynomial can now be expressed as:
f(x) = (x - 1)(x - 5)(x - 8).
Using the Linear Factors Theorem, we found that the polynomial f(x) = x^3 - 12x^2 + 37x - 40 has zeros at x = 1, x = 5, and x = 8. These zeros correspond to the linear factors (x - 1), (x - 5), and (x - 8) of the polynomial, respectively.
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Sofia bought 12 pens for $0.59 each. She paid with a $10 bill. How much change will she receive.?
Answer:
2.92
Step-by-step explanation:
Answer:
2.92
Step-by-step explanation:
12×.59=7.08 10-7.08=2.92
5x-20x+30x. plz help
Answer:
15x
Step-by-step explanation:
5x-20x+30x=15x
find a particular solution to the nonhomogeneous differential equation y′′ 4y′ 5y=−5x 3e−x.
A particular solution to the nonhomogeneous differential equation is \(y_p = (1/17)x - (2/17)e^{(-x).}\)
To find a particular solution to the nonhomogeneous differential equation \(y'' + 4y' + 5y = -5x + 3e^{(-x)\), we can use the method of undetermined coefficients.
First, let's find a particular solution for the complementary equation y'' + 4y' + 5y = 0. The characteristic equation for this homogeneous equation is \(r^2 + 4r + 5 = 0\), which has complex roots: r = -2 + i and r = -2 - i. Therefore, the complementary solution is of the form \(y_c = e^(-2x)\)(Acos(x) + Bsin(x)).
Now, let's find a particular solution for the nonhomogeneous equation by assuming a particular solution of the form \(y_p = Ax + Be^{(-x)\). We choose this form because the right-hand side of the equation contains a linear term and an exponential term.
Taking the first and second derivatives of y_p, we have:
\(y_p' = A - Be^{(-x)\)
\(y_p'' = -Be^{(-x)\)
Substituting these derivatives into the original equation, we get:
\(-Be^{(-x)} + 4(A - Be^{(-x))} + 5(Ax + Be^{(-x))} = -5x + 3e^{(-x)}\)
Simplifying this equation, we obtain:
(-A + 4A + 5B)x + (-B + 4B + 5A)e^(-x) = -5x + 3e^(-x)
Comparing the coefficients on both sides, we have:
-4A + 5B = -5 (coefficients of x)
4B + 5A = 3 (coefficients of e^(-x))
Solving these equations simultaneously, we find A = 1/17 and B = -2/17.
Therefore, a particular solution to the nonhomogeneous differential equation is:
\(y_p = (1/17)x - (2/17)e^{(-x)\)
The general solution to the nonhomogeneous equation is the sum of the complementary solution and the particular solution:
\(y = y_c + y_p = e^{(-2x)}(Acos(x) + Bsin(x)) + (1/17)x - (2/17)e^{(-x)\)
where A and B are arbitrary constants.
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Find the ten missing angles labeled in the diagram. Line a is parallel to line b. The measures of two angles are given.
Answer:
m∠3 = 112° m∠5 = 38° m∠6 = 68° m∠8 = 74°
You do the others
Step-by-step explanation:
Facts you need to solve this problem.
1. Vertical angles are congruent
2. Alternate interior angles are congruent when lines are parallel
3. Sum of the measures of the angles of a triangle is 180
4. Adjacent angles are supplementary when two lines intersect
m∠3 = 112° (Reason 1 above)
m∠6 = 180 - 112 = 68° (Reason 4)
m∠6 + m∠5 + 74 = 180° (Reason 3)
68 + m∠5 + 74 = 180
142 + m∠5 = 180
m∠5 = 38°
m∠8 = 74° (Reason 2)
That gives you a start, so I will let you find all the others. OK? I know you don't want to do that, but you need to be able to do this type of problem. Now, go for it!!
Which equation represents the function f(x) = (1.6)x after it has been translated 5 units up and 9 units to the right? g(x) = (1.6)x 5 − 9 g(x) = (1.6)x 5 9 g(x) = (1.6)x − 9 5 g(x) = (1.6)x 9 5
The equation which represents the provided function after it has been translated 5 units up and 9 units to the right is (1.6)ˣ⁻⁹+5.
What is transformation of a function?Transformation of a function is shifting the function from its original place in the graph.
Types of transformation-
Horizontal shift-Let the parent function is \(f(x)\). Thus, by replacing parent function with \(f(x-b)\) Shifts the graph b units right, and by replacing parent function with \(f(x+b\)) shifts the graph b units left.Vertical shift-Let the parent function is f(x). Thus, by replacing parent function with \(f(x)-c\) Shifts the graph c units down and by replacing parent function with \(f(x)+c\) Shifts the graph c units up.The provided function in the problem is,
\(f(x) = (1.6)^x\)
The function has translated 5 units up. Thus, substrate 5 units inside the function.
\(g(x) = (1.6)^{x-5}\)
The function has translated units to the right. Thus, add 9 units outside the function as,
\(g(x) = (1.6)^{x-5}+9\)
Thus, the equation which represents the provided function after it has been translated 5 units up and 9 units to the right is,
\(g(x) = (1.6)^{x-5}+9\)
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Answer:
C
Step-by-step explanation:
ur wlcm
There are three dials on a combination lock.
Each dial can be set to one of the numbers 1, 2, 3, 4, 5, 6
The three digit number 536 is one way the dials can
be set as shown in the diagram.
a) Work out the number of different three digit numbers
that can be set for the combination lock.
Answer: 136, 625,532,413
Step-by-step explanation:
please help me!!!!!!!!
Answer:
3/4
Step-by-step explanation:
The perimeter of a rectangle is 62 cm. The length of the rectangle is 7 more than 2 times the width. Find the dimensions.
I need some assistance please.
Answer:
\( 48 - 20x = 9 \)
Step-by-step explanation:
\( 2 - \dfrac{5}{6}x = \dfrac{3}{8} \)
Multiply both sides by the LCD which is 24.
\( 24(2 - \dfrac{5}{6}x) = 24(\dfrac{3}{8}) \)
\( 48 - 20x = 9 \)
What is the solution set for 2f ≤ 2?
answer in x ( ) y please
will give brainliest for quickest answer
Answer:
f ≤ 1
Step-by-step explanation:
I hope this helps, I got a few people to help me and really only remembered the answer so sorry I can't teach you much but I have the answer
Answer:
Give them brainliest they helped me
Step-by-step explanation:
DA = 0.0
Trapezoid ABCD is congruent to trapezoid EFGH, and the side lengths of ABCD are given. Find GH.
A. 9.0
B. 14.0
C. 20.0
D. cannot be determined
Answer:
The answer is D - cannot be determined
Step-by-step explanation:
Answer:
B. 14.0
Step-by-step explanation:
just took the test
Help please I’ll mark brainliest
Answer:
Cross multiply:
7x4=8x2
Simplify:7*4=2*8
Multiply 7*4:
28=8*2
Multiply:8*2
28=16
Solving 28=16
4:4
Step-by-step explanation: