The Side-Angle-Side rule is the foundation for this query. The correct response is therefore option A, since ABC=DEF cannot be inferred from the additional statement that AB=EF.
What is SAS criterion?According to this rule, the corresponding two angles of one triangle are congruent with the two angles of the other triangle. The side-angle-side postulate is the only congruence rule that can be applied as a result.
Here,
A=D and C=F in triangle ABC and triangle DEF.
We must choose a statement that prevents you from deducing that triangle ABC = triangle DEF.
The correct response is therefore option A, since ABC=DEF cannot be inferred from the additional statement that AB=EF.
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PLEASE HELP FAST WILL MARK BRAINLYISNT
You are a plumber who needs to replace a broken pipe that is 12.5 feet long. You have 2 pipes, A and B, that are 3.75 meters and 4.25 meters long, respectively. A pipe longer than the broken pipe can be cut to fit. Which pipe can be used to complete the task, and why?
either, because the broken pipe is 2.51 meters long either, because the broken pipe is 2.67 meters long
pipe B, because the broken pipe is 3.81 meters long
pipe B, because the broken pipe is 4.20 meters long
neither, because the broken pipe is 4.80 meters long
Answer: either, because the broken pipe is 2.51 meters long either, because the broken pipe is 2.67 meters long
Step-by-step explanation:
parallel to line y=-3x+5 passes through (-4,5) point slope form
The equation of line in point slope form will be -
y - 5 = - 3(x + 4).
What is geometry?Geometry is a branch of mathematics that deals with shapes, sizes, angles, and dimensions of objects.
Given is a equation of a line → y = -3x + 5 passing through point (-4, 5).
The given equation is -
y = -3x + 5
Slope of the line parallel to this line -
m{p} = - 3
We can write the equation of line in point slope form as -
y - 5 = -3(x + 4)
Therefore, the equation of line in point slope form will be -
y - 5 = - 3(x + 4).
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Fine the cotangent. I need help asap please!
The cotangent of an angle is the ratio of the adjacent side length over the opposite side length, which is 9 divided by [tex]\sqrt{57}[/tex] .
What is a cotangent?The opposite of a tangent is a cotangent. It is the ratio of a right triangle's adjacent side to its opposite side. It may be expressed mathematically as cot, where is the right triangle's angle. The ratio between the adjacent side and the opposite side will be the cotangent of 30°, for instance, if the right triangle's angle is 30°. When you are aware of the side lengths of a right triangle, the cotangent may be used to determine the angle. For instance, the cotangent of the angle is 0.417, which indicates the angle is around 24°, provided you know the lengths of the near side to be 5 and the opposite side to be 12.
In the given question, the ratio of the adjacent side length to the opposite side length is equal to the cotangent of an angle. The neighboring side length in this example is 9 and the opposite side length is the square root of 57. As a result, the cotangent of angle V is equal to 9 divided by 57 squared. This is written as 9/57.
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What is 4 1/4×3 2/7?
Answer:
In exact form:
391/28
or
Mixed form:
13 27/28
Step-by-step explanation:
I'm not sure which form you wanted the answer to be so I added both forms. Hope this helps! :)
Hey there!
4 1/4 * 3 2/7
= 17/4 * 23/7
= 17(23)/4(7)
= 391/28
= 13 27/28
Therefore, your answer should be:
13 27/28
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Which of the following points is a solution of the system shown? x + y ≥ 6 x ≥ 4 (4, 2) (4, -2) (-1, 7)
The solution of the system is (4, 2).
What are systems of inequalities?At least two linear inequalities in the same variables make up a system of linear inequality in two variables. The graph of a linear inequality is the graph of all solutions to the system, and the solution of a linear inequality is the ordered pair that resolves all inequalities in the system.
We have the system of inequalities:
x + y ≥ 6
x ≥ 4
To find the solution:
Solve as a system of equations.
x + y = 6
And x = 4.
Then y = 2.
Therefore, (4, 2) is the solution of the system.
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Answer:The solution of the system is (4, 2).
What are systems of inequalities?
At least two linear inequalities in the same variables make up a system of linear inequality in two variables. The graph of a linear inequality is the graph of all solutions to the system, and the solution of a linear inequality is the ordered pair that resolves all inequalities in the system.
We have the system of inequalities:
x + y ≥ 6
x ≥ 4
To find the solution:
Solve as a system of equations.
x + y = 6
And x = 4.
Then y = 2.
Therefore, (4, 2) is the solution of the system.
Step-by-step explanation:
The attached file, data_red_banjo_pints_sold.xlsx, lists the daily sales of IPA beer, in pints, for the first three years of operations of Red Banjo Brewing Company. Construct a histogram with lower bin limit of O and bin width 50 for the variable IPA beer (pints). Which of the following best describes the sales data? symmetric negatively skewed positively skewed flat A C 1 Day 2 3 4 3 4 8 9 8 6 7 8 9 10 11 12 13 14 15 B IPA (pints) 1 158 2 169 162 4 154 5 154 6 275 7 277 8 154 9 161 10 166 11 159 12 168 13 262 14 283 15 154 16 164 17 165 18 156 19 164 20 258 21 260 22 155 23 155 24 159 25 164 26 165 27 255 28 268 29 152 30 162 CO 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 Red Banjo Pints Produced А B C D 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 163 154 267 272 158 162 162 166 138 260 267 160 148 152 164 168 267 267 152 164 150 160 170 248 275 160 162 153 157 79 80 81 82 83 84 85 86 87 85 86 88 87 89 90 91 88 89 90 157 273 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 273 270 162 164 164 150 168 258 263 158 166 165 154 169 250 270 160 164 157 157 168 265 285 150 150 162 155 160 262 260 160
The data can be analyzed to determine the distribution of the data.
In order to construct a histogram for the daily sales of IPA beer, in pints, for the first three years of operations of Red Banjo Brewing Company, the lower bin limit is set to 0 and the bin width is set to 50. The data can be analyzed to determine the distribution of the data. To calculate the distribution, the data points are counted and the number of occurrences of each data point is divided by the total number of data points.
Using this formula, the data can be analyzed to determine if the data is symmetric, negatively skewed, positively skewed, or flat. The formula used is:
(Number of Occurrences / Total Number of Data Points) * 100
In the case of the Red Banjo Brewing Company data, the data is found to be positively skewed. This means that there are more data points in the higher range than in the lower range. This suggests that the brewery has seen a steady increase in the sale of IPA beer over the past three years.
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shawn knows that his student loan interest is calculated at a rate of 0.34% per month what is his apr andapy
The APR (Annual Percentage Rate) is 4.08% while the APY (Annual Percentage Yield) is 4.16%.
What is the difference between APY and APR?The annual percentage yield (APY) is the normal annual percentage rate (APR) based on a compounding period of one year.
The annual percentage rate (APR) represents the cost of borrowing expressed as a percentage.
Thus, while APY considers compound interest, APR does not.
MPR = 0.34%
APR = 4.08% (0.34 x 12)
The formula for computing the APR is as follows:
APY = (1 + APR/N)^N - 1
Where APR is the normal interest rate, N is the number of compounding period in a year.
= (1 + 0.0408/12)^12 - 1
= (1 + 0.0034)^12 - 1
= (1.0034)^12 = 1
= 1.0416 - 1
= 0.0416
= 4.16%
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A population proportion is 0.30. A random sample of size 150 will be taken and the sample proportion will be used to estimate
the population proportion. Use the z-table.
Round your answers to four decimal places.
a. What is the probability that the sample proportion will be within ±0.03 of the population proportion?
b. What is the probability that the sample proportion will be within ±0.08 of the population proportion?
The advantage of a larger sample size is that the estimate covers more ground and is more reliable.Answer:a) 0.6180 b) 0.7817 c) 0.9484 d) 0.994
What is the population proportion?z = (x - xbar)/σ
Standard deviation = σ = √variance = √[(p)(1-p)/n]
p = population proportion = 0.3
n = sample size
Sample proportion = (x - xbar) = ± 0.04
z = (sample proportion)/(standard deviation)
a) sample proportion = ± 0.04
n = 100
Standard deviation = √[(0.3)(1 - 0.3)/100] = 0.0458
z = ± 0.04/0.0458 = ± 0.873
Using normal probability distribution tables
P(|x- xbar| < 0.04) = P(-0.873 < z < 0.873) = P(z < 0.873) - P(z < -0.873) = 0.809 - 0.191 = 0.6180
b) sample proportion = ± 0.04
n = 200
Standard deviation = √[(0.3)(1 - 0.3)/200] = 0.0324
z = ± 0.04/0.0324 = ± 1.23
Using normal probability distribution tables
P(|x- xbar| < 0.04) = P(-1.23 < z < 1.23) = P(z < 1.23) - P(z < -1.23) = 0.891 - 0.1093 = 0.7817
c) sample proportion = ± 0.04
n = 500
Standard deviation = √[(0.3)(1 - 0.3)/500] = 0.0205
z = ± 0.04/0.0205 = ± 1.95
Using normal probability distribution tables
P(|x- xbar| < 0.04) = P(-1.95 < z < 1.95) = P(z < 1.95) - P(z < -1.95) = 0.974 - 0.0256 = 0.9484
d) sample proportion = ± 0.04
n = 1000
Standard deviation = √[(0.3)(1 - 0.3)/1000] = 0.0145
z = ± 0.04/0.0145 = ± 2.76
Using normal population proportion tables
P(|x- xbar| < 0.04) = P(-2.76 < z < 2.76) = P(z < 2.76) - P(z < -2.76) = 0.997 - 0.0029 = 0.9941
e) the advantage of a larger sample size is that the estimate covers more ground and is more reliable.
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decide whether enough information is given to prove that the triangles are congruent. if so, state the theorem you can use. $\triangle abc,\ \triangle dbc$
11. The ΔACD is not equal and congruent to ΔBCD.
12. The ΔXYZ is equal and congruent to ΔPQZ.
13. The ΔMNL is not equal and congruent to ΔRSL.
What is congruency?
Congruent refers to something that is "absolutely equal" in terms of size and shape. The shapes hold true regardless of how we rotate, flip, or turn them. Draw two circles with the same radius, for instance, cut them out, and stack them on top of one another.
It is known that -
If two triangles are congruent, when they meet one of the following criteria -
a) All three pairs of corresponding sides should be equal.
b) Two pairs of corresponding sides and the corresponding angles between them should be equal.
c) Two pairs of corresponding angles and the corresponding sides between them should be equal.
11. In the first diagram, it is given that line segments -
AD = BD
CD = CD (common in both the triangles)
It is given that angles -
∠A ≅ ∠B
This proves that AD ≅ BD and CD = CD.
If ΔACD is congruent with ΔBCD then ∠ADC ≅ ∠BDC.
But not enough information is given about ∠ADC and ∠BDC.
Therefore, ΔACD is not congruent with ΔBCD.
12. In the second diagram, it is given that -
Z is the midpoint of line segment XQ and YP.
This means that line segments -
XZ = ZQ
YZ = ZP
It is also given that ∠XZY = ∠PZQ as they form a pair of vertically opposite angles which are equal.
So, the criteria two pairs of corresponding sides and the corresponding angles between them should be equal is fulfilled.
Therefore, ΔXYZ is congruent with ΔPQZ.
13. In the third diagram, it is given that line segments-
MN ≅ LR
LN ≅ LS
It is given that angles -
∠LMN ≅ ∠LRS
If the line segments MN ≅ LR and LN ≅ LS, then ∠MNL ≅ ∠NLS
But not enough information is given about ∠MNL and ∠NLS being equal.
Therefore, ΔMNL is not congruent with ΔRSL.
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In our class, there are 11 female and 14 male students. Among 11 female students, 5 get grade A. Among 14 male students, 4 get grade A.
Let A= `pick a student randomly, the grade of this student is A', and M=` pick a student randomly, this student is a male’.
Then, the conditional probability P(A|M) is:
The conditional probability that the selected student is male and got grade A is 2/7.
Define the term conditional probability?The possibility of an outcome or an event happening contingent on the incidence of a prior event or outcome is known as conditional probability. The likelihood of an event happening given the another has already happened.P(A|M) stands for the probability of such a considering that M has happened.
Then, formula for the conditional probability is-
P(A|M) = P(A∩M) / P(M)
P(A∩M) = Probability that the student is male M and got grade A = 4/25.
P(M) = Probability that the student is male M = 14/25.
Then,
P(A|M) = 4/25 / 14/25
P(A|M) = 4/14 = 2/7
Thus, the conditional probability that the selected student is male and got grade A is 2/7.
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Use long division to divide the polynomials.
(52² 13z + 3) = (2-2)
(z
-
Show your work here
Long division is used to divide polynomials, with the leftover being 0 and the quotient being 26x + 26.
How will you divide the polynomials?To divide the polynomials, we may utilise long division. To begin, divide the dividend's leading term (522) by the divisor's leading term (2). The leftover is 0 and the quotient is 26.
The quotient (26) is then multiplied by the divisor (2) and subtracted from the dividend (522 13z + 3). This yields the value 522 13z - 52.
The leading term of the new dividend (522) is then divided by the divisor's leading term (2). The leftover is 0 and the quotient is 26.
The quotient (26) is then multiplied by the divisor (2) and subtracted from the new dividend (522 13z - 52). This yields a value of 0.
As a result, the final answer is 26x + 26.
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HELP!! i want the answer
The tangent line to the given circle passing through the point B is given by the image presented at the end of the answer.
What is a tangent line?A tangent line to a circle is a line that only touches the circumference of the circle, not crossing.
If the line crosses the circle, then the line is called a secant line, which crosses the circumference of the circle twice.
Then the tangent line, only touching the circumference of the circle, is given by the image presented at the end of the answer.
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Three views of a soild are shown. Find the number of the faces, edges, and veritices of the soild.
Find the cost of excavating a space 81 ft long, 42 ft wide, 9 ft deep at a cost of $36/yd.
The cost of excavating a space 81 ft long, 42 ft wide, 9 ft deep at a cost of $36/yd. is $367, 416
How to find the area?The area of the object or space is the space it occupies
The area is denoted by
Area= Lenght * Breadth * Height
Area = 81 * 42 * 9 feet
Area = 30,618 ²
Feet to Yards Converter
From
Foot (ft)
To
Yard (yd)
Feet
ft
Yards
yd
Calculation
Yards to feet ►
How to convert feet to yards
1 yard is equal to 3 feet:
1yd = 3ft
The distance d in yards (yd) is equal to the distance d in feet (ft) divided by 3:
d(yd) = d(ft) / 3
Example
Convert 20 ft to yards:
d(yd) = 20ft / 3 = 6.6667yd
How many yards in a foot
One foot is equal to 0.33333 yards:
1ft = 1ft / 3 = 0.33333yd
How many feet in a yard
One yard is equal to 3 feet:
Remember that 1yd = 3×1yd = 3ft
How to convert 10ft to yards
Divide 10 feet by 3 to get yards:
10ft = 10ft / 3 = 3.33333yd
Feet to yards conversion table
Feet (ft) Yards (yd)
0.01 ft 0.0033333 yd
0.1 ft 0.033333 yd
1 ft 0.33333 yd
2 ft 0.66667 yd
3 ft 1.00000 yd
4 ft 1.33333 yd
5 ft 1.66667 yd
6 ft 2.00000 yd
7 ft 2.33333 yd
8 ft 2.66667 yd
9 ft 3.00000 yd
10 ft 3.33333 yd
20 ft 6.66667 yd
30 ft 10.00000 yd
40 ft 13.33333 yd
50 ft 16.66667 yd
60 ft 20.00000 yd
70 ft 23.33333 yd
80 ft 26.66667 yd
90 ft 30.00000 yd
100 ft 33.33333 yd
Then covert the feet into yards
This shows that 30618 feet = 10206 yards
The cost of each yard is $36/yd.
Then the cost of excavating the space $36*10206 = $367,416
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Resolve each force acting on the gusset plate into its x and y components, and express the force F1 as a Cartesian vector.
The force F1 can be expressed as a Cartesian vector, F1 = (F1x, F1y). The other forces acting on the gusset plate can be resolved into x and y components, with F2 = (F2x, F2y), F3 = (F3x, F3y), and F4 = (F4x, F4y).
The force F1 can be expressed as a Cartesian vector, F1 = (F1x, F1y). This vector has two components, the x component F1x and the y component F1y. The other forces acting on the gusset plate can be resolved into x and y components using the same method. For example, the force F2 can be resolved into its x and y components, F2x and F2y, to form the vector F2 = (F2x, F2y). The same applies to F3 and F4, which can be expressed as vectors F3 = (F3x, F3y) and F4 = (F4x, F4y), respectively. The x and y components of each force can be found by using trigonometric functions such as sine and cosine, as well as the magnitude of each force. In this way, each force acting on the gusset plate can be expressed as a Cartesian vector, allowing us to analyze the forces acting on the plate in two-dimensional space.
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Find the values of x and y in each parallelogram
In parallelogram of 17th problem the x is 12 and y is 14 and in 18th problem value of x is 8 and y is 29.
What is Polygon?polygon, in geometry, any closed curve consisting of a set of line segments (sides) connected such that no two segments cross
A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length
4x-9=3x+3
4x-3x=9+3
x=12
2y-3=2x+1
2y-3=24+1
2y=28
Divide both sides by 2
y=14
The opposite angles of a parallelogram are of equal measure.
7x+8=8x
x=8
and y+87=4y
87=3y
Divide both sides by 3
29=y
Hence, in parallelogram of 17th problem the x is 12 and y is 14 and in 18th problem value of x is 8 and y is 29.
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Find the domain and range y = 3 * (2) ^ x
The domain of y = 3 * (2) ^ x is set of all real numbers i.e. (-∞,∞) and the range is (0,∞).
What is domain and range of a function?
The domain is the set or a collection of all the possible values that can go in the function.
The range is collection of all the output values of a function.
Domain
For the given function, the domain is the set of all real numbers because there is no value for 'x' where the function is not defined.
Thus, the domain is (-∞,∞).
Range
For the given function, the values for y range from 0 to infinity.
Therefore, the range is (0,∞).
Hence, the domain of y = 3 * (2) ^ x is (-∞,∞) and the range is (0,∞).
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In a bag of keys, there are 15 silver keys, 6 black keys, 8 copper keys, and 4 painted keys of various cálors. One key is drawn out
at random. What is the probability that the key that is drawn is silver or copper?
A. 7/11
B. 8/33
C. 5/11
D. 23/33
Answer:
C
Step-by-step explanation:
Answer:
23/33
Step-by-step explanation:
The copper keys and the silver keys in total is 23 and the amount of keys in total is 33.
What is the value of log3 9?
O A.
О в. 1
O C. 2
OD. 3
27
[tex]question[/tex]
What is the value of log3 9 ?[tex]answer[/tex]
Option c is correct answer.C. 2Hope it's help......✨
The value of expression log₃9 is 2, Option B is correct.
What is Expression?An expression is combination of variables, numbers and operators.
We know that 3 raised to what power equals 9.
We can write this as:
3ˣ = 9
Taking the logarithm of both sides with base 3, we get:
log₃(3ˣ) = log₃ 9
x = log₃9
So, the value of log3 9 is the exponent x that satisfies the equation 3ˣ = 9.
Since 3²= 9, we have:
log₃ 9 = 2
Hence, the value of expression log₃9 is 2.
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In a bowling class, the students are organized into teams. The number of students in the class is used to calculate how many teams will be formed.
s = the number of students in the class
t = the number of teams to be formed
Which of the variables is independent and which is dependent?
What is the resultant vector of ? A+B?
The resultant vector of A+B is C (5,3) with the length of √34.
Resultant vector is the sum of 2 or more vectors. In this case, we give the name of the resultant vector as C.
Please refer to the attached picture below.
Vector C is the resultant vector of A+B and we will use the tail-to-head appraoch.
From the given graph, we know that:
vector A = (2 - 0) = (2)
(4 - 0) (4)
Vector B = (5 - 2) = (3)
(3 - 4) (-1)
Vector C = Vector A + Vector B
Vector C = (2 + 3)
(4 + (-1))
Vector C = (5,3)
The length of Vector C can be calculated using the phytagoras theorem:
Length of vector C = √(5² + 3²)
Length of vector C = √(25 + 9)
Length of vector C = √34
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Alewuya invests $1,000 at 13% simple interest for 6 years. How much is in the account at the end of the 6 year period?
Answer: $
The amount of money with the simple interest is A = $ 1,780
What is Simple Interest?Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Given data ,
Let the simple interest be represented as I
Now , the amount with simple interest A = P + I
Now , the principal P = $ 1,000
The interest rate R = 13 %
The number of years T = 6 years
And , Simple Interest I = ( Principal Amount x Rate x Time Period ) / 100
Substituting the values in the equation , we get
Simple Interest I = ( 1000 x 13 x 6 ) / 100
On simplifying the equation , we get
Simple Interest I = $ 780
Now , the amount after 6 years = $ 1,000 + $ 780
The amount after 6 years = $ 1,780
Hence , the simple interest is $ 780
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Please, I didn't understand you very well.
Check the picture below.
[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ A=20\\ b=6\\ h=4 \end{cases}\implies 20=\cfrac{4(a+6)}{2}\implies 40=4(a+6) \\\\\\ \cfrac{40}{4}=a+6\implies 10=a+6\implies 4=a[/tex]
MAA MATHEMATICAL ASSOCIATION OF AMERICA
webwork/math160/module1wwsp/4
Module 1 WWsp: Problem 4
Previous Problem Problem List Next Problem
(1 point) Below is an "oracle" function. An oracle function is a function presented interactively. When you type in an x value, and press the --> button and the value
f(x) appears in the right hand window. There are three lines, so you can easily calculate three different values of the function at one time.
Find the largest delta so that f(z)-f(1.382)| < 0.0008 when |x-1.382| < 8.
delta
I
Note: Your answer must be within 0.000001 of the correct answer
The delta is the difference between the values of x and f(z)-f(1.382). To find the largest delta, incrementally increase x by delta until it is less than 0.0008.
What is oracle function?A pre-defined Oracle function is a function that may be used to conduct a specific operation or computation on data contained in an Oracle database. Oracle functions are frequently used to change data from a query result or to conduct computations such calculating the average, sum, or count of a group of numbers.
The delta is the difference between the two x values. To determine the biggest delta such that f(z)-f(1.382)0.0008 when |x-1.382|8, we must first enter x=1.382 into the oracle function and note the result of f. (1.382). Then we must gradually increase x by delta, inserting the new value into the Oracle function and noting the result. Then we may compute f(x)-f(1.382) to determine if it is less than 0.0008. This method may be repeated, increasing the delta each time, until we obtain the greatest delta where f(x)-f(1.382)0.0008. The greatest delta that meets this requirement is the answer.
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Use the given transformation to evaluate the integral.
u= x+y, v= -2x+y;
R\int \int5y dxdy where R is the parallelogram bounded by the lines y= -x+1, y=-x+4, y= 2x+2, y= 2x+5
a. 85/4
b. 65/4
c.85/2
d.65/2
After evaluating the integral answer is 85/4. thus, option A is the answer.
The given transformation is a change of variables from (x, y) to (u, v). To evaluate the integral using the transformation, we need to use the Jacobian determinant. The Jacobian determinant is the absolute value of the determinant of the matrix of partial derivatives of the transformation.
du/dx = 1, du/dy = 1
dv/dx = -2, dv/dy = 1
The determinant of the matrix of partial derivatives is det(J) = du/dx * dv/dy - du/dy * dv/dx = (1)(1) - (1)(-2) = 3
So the Jacobian determinant is |J| = |3| = 3.
The integral becomes:
R\int \int 5y dx dy = (1/3) R\int \int 5v du dv
where R is the region in the uv-plane that corresponds to the region in the xy-plane bounded by the lines y= -x+1, y=-x+4, y= 2x+2, y= 2x+5
The integral evaluates to (1/3) R\int \int 5v du dv = (1/3) * 85/2 = 85/6 = 85/4
Therefore the correct answer is 85/4
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a rectangle has a perimeter of 38. find the length and the width of the rectangle if the length is 5 less than twice the width. hint: the equation for the perimeter of a rectangle is:
The length and width of the given rectangle are 11 units and 8 units.
Let the length and breadth of rectangle be l and b.
The perimeter of a rectangle is given by the formula:
P=2( l + b )
It is given that Perimeter of the rectangle is 38.
2( l + b ) = 38
( l + b ) = 19
l = 19 - b
Also, length is 5 less than twice the width.
l = 2b - 5
⇒19 - b = 2b - 5
⇒3b = 24
⇒b = 8
Now, The length can be calculated as:
⇒l = 19 - b
⇒l = 19 - 8
⇒l = 11
Therefore, The length and Width of the rectangle are 11 and 8 respectively
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7h+(-6.3d)-15+4d-2.8h=
If this is math, this is undefined because it's impossible to solve.
But in Physics...
Simplify the expression.
−2.3d+4.2h−15
Answer: i hope this helps ..
Step-by-step explanation:
Prove that (sinθ-cosθ)^2(sinθ+cosθ)^2 = 2
Step-by-step explanation:
(sinθ + cosθ)^2 + (sinθ − cosθ)^2
= (sin^2 θ + cos^2 θ + 2sinθ cosθ)+(sin^2 θ+cos^2 θ − 2sinθ cosθ)
= (1 + 2sinθ cosθ) + (1 − 2sinθ cosθ)
= 1 + 2sinθ cosθ + 1 − 2sinθ cosθ
= 1 + 1 = 2
Therefore, (sinθ+cosθ)^2 + (sinθ−cosθ)^2 = 2
What does 4 x -1 equal
Answer -4
Step-by-step explanation:
Junior's credit card has an APR of 21.99%. If his current monthly balance, before interest, is $2,416.91, what amount will he be charged for interest?
$44.28
$44.29
$75.83
$75.82
The amount that Junior would be charged for interest, given his credit card APR would be B. $44.29
How to find the credit card interest ?To calculate the amount of interest charged on a credit card balance, you can use the formula:
Interest = (APR / 365 days) x Balance x Days in the billing period
In this case, the APR is 21.99% and the monthly balance is $2, 416.91.
The APR must be converted to a decimal, so 21.99% becomes 0.2199
So, the Interest = (0.2199 / 365) x 2, 416.91 x 30
= $ 44.29
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