Answer:\(a, 8c^{4} d^{5} /2c^{3} d^{3}\)
\(8c^{3}.c.d^{3}.d^{2} /2c^{3} d^{3}\)
\(ans=4cd^{2}\)
ans= \(b, 9a^{3} b^{5} /3ab^{2}\\3*3.a^{2}.a.b^{2}.b^{3} /3ab^{2} \\3a^{2}b^{3}\)
Step-by-step explanation: hope this will help you
Given OSALE, solve for x.
3
3x + 4
5x-6
S
3
A
Answer:
x=5
Step-by-step explanation:
The sides have to be equal length
3x+4 = 5x-6
Subtract 3x from each side
3x+4-3x = 5x-6-3x
4 = 2x-6
Add 6 to each side
4+6 = 2x-6+6
10 = 2x
Divide by 2
10/2 =2x/2
5 =x
Two parallel sides is 3x + 4 = 5x - 6
\(\bf \large \longrightarrow \: \: 3x \: + \: 4 \: = \: 5 x \: - \: 6\)
\(\bf \large \longrightarrow \: \:6 \: + \: 4 \: = \: 5x \: - \: 3x\)
\(\bf \large \longrightarrow \: \:10 \: = \: 2x\)
\(\bf \large \longrightarrow \: \: \frac{10}{2} \: = \: x \\ \)
\(\bf \large \longrightarrow \: \: \cancel\frac{10}{2} \: \large \: ^{5} \: = \: x \\ \)
\(\bf \large \longrightarrow \: \:x \: = \: 5\)
Option ( B ) is the correct answer.
The equation T squared = A cubed shows the relationship between a planet's orbital period, T, and the planet's mean distance from the sun, A, in astronomical units, AU. If planet Y is k times the mean distance from the sun as planet X, by what factor is the orbital period increased? k Superscript one-third k Superscript one-half k Superscript two-thirds k Superscript three-halves
Answer:
Ty = √k * Tx
The orbital period of Y has to be be multiplied by √k . or . k∧1/2
Step-by-step explanation:
The general equation:
T² = A³
is for the case of planet X
Tₓ² = Aₓ³
In the case of planet Y
Ty² = k * Aₓ³ . and Aₓ³ = Tₓ²
By substitution:
Ty² = k *Tₓ²
Ty = √k * Tx
Answer:
D: K^3/2
Step-by-step explanation:
Just took the test and this is right
Really confused on this and need some help to figure this out (i'll give a brainliest to whoever will help)
Answer:
55
Step-by-step explanation:
The angles are complementary as they add up to make a right angle/ 90° as indicated by the small square. So let's make an equation and solve for x :
x-20 + x = 90
Add 20 to both sides :
x+x = 110
2x = 110
Divide both sides by 2 :
x = 55
Hope this helped and have a good day
Find the equation of the tangent line to the graph of f(x)=\frac{x-4}{x^{3}+3 x-4} at x=4 y=\quad \text { Tries } 0 / 99
The equation of the tangent line to the graph of f(x) at x = 4 is y = 2x - 5. This can be determined by finding the derivative.
The equation of the tangent line to the graph of f(x) = (x-4)/(\(x^3\) + 3x - 4) at x = 4 can be determined by finding the derivative of f(x) and evaluating it at x = 4. The derivative gives us the slope of the tangent line, and by using the point-slope form of a linear equation, we can find the equation of the tangent line.
In summary, the equation of the tangent line to the graph of f(x) at x = 4 is y = 2x - 5.
To find the equation of the tangent line, we first differentiate f(x) with respect to x using the quotient rule. The derivative is given by:
f'(x) = [(\(x^3\) + 3x - 4)(1) - (x-4)(3\(x^2\) + 3)] / \((x^3 + 3x - 4)^2\)
Simplifying this expression, we get:
f'(x) = (3\(x^2\) + 12x - 12) / \((x^3 + 3x - 4)^2\)
To find the slope of the tangent line at x = 4, we substitute x = 4 into the derivative:
f'(4) = (3\((4)^2\) + 12(4) - 12) / \((4^3 + 3(4) - 4)^2\)
= (48 + 48 - 12) / \((64 + 12 - 4)^2\)
= 84 / 72
= 7/6
The slope of the tangent line is 7/6. Now, using the point-slope form of a linear equation, we can find the equation of the tangent line. The point (4, f(4)) lies on the tangent line, so we substitute x = 4 into the original function:
f(4) = (4-4)/(\(4^3\) + 3(4) - 4) = 0/64 = 0
Thus, the point (4, 0) lies on the tangent line. Plugging the slope and the point into the point-slope form, we have:
y - 0 = (7/6)(x - 4)
Simplifying, we get:
y = 7/6 x - 7/3
Therefore, the equation of the tangent line to the graph of f(x) at x = 4 is y = 2x - 5.
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utiliza la formula De la distancia para calcular la medida De Los segmentos M(2,2) yN(5,-1)MN
Answer:
\( \huge{ \boxed{ \sf{ \sqrt{18} \: units}}}\)
Step-by-step explanation:
\( \star{ \sf{ \:Sea \: M (2, 2) \: (x1, y 1) \: y \: N (5, -1) \: sea \: (x2, y2).}}\)
\( \star{ \sf{ \: Usando \: la \: fórmula \: de \: la \: distancia}} : \)
\( \boxed{ \sf{distancia = \: \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}\)
\( \mapsto{ \sf{distancia \: = \: \sqrt{ {(5 - 2)}^{2} + {( - 1 - 2)}^{2} } }}\)
\( \mapsto{ \sf{distancia = \sqrt{ {(3)}^{2} + {( - 3)}^{2} } }}\)
\( \mapsto{ \sf{distancia \: = \sqrt{9 + 9}}} \)
\( \mapsto{ \sf{distancia = \sqrt{18} \: units}}\)
\( \sf{¡Espero \: haber \: ayudado!}
\)
\( \sf{¡Atentamente!}\)
~\( \text{TheAnimeGirl}\)
Simplify. [3 • (3 – 9)] + 9 –4.5 9 45 –9
this is your answer -45189/2000
Find the reference angle for a rotation of 253º.
Given the angle:
253 degrees
Let's find the reference angle to the given angle for a rotation.
The given angle, 253 degrees, is in quadrant 3.
To find the reference angle of ang angle in quadrant 3, we have:
\(\theta_{ref}=\theta-180\)Hence, we have:
\(\begin{gathered} \theta_{ref}=253-180 \\ \\ \theta_{ref}=73^o \end{gathered}\)Therefore, the reference angle is 73 degrees.
ANSWER:
73°
find an expression for perimeter
Step-by-step explanation:
Perimeter of a rectangle= 2(l+b)
= 2( 4m-1+3m+2)
=2(7m+1)
= 14m+2
i need help asap
72x81=x 80/10=y
x+y=
Answer:
The answer should be 5840
Step-by-step explanation:
72 x 81 = x = 5832
80 / 10 = y = 8
x + y = 5832 + 8 = 5840
What is the 100th digit of pi?what is the hundredth digit of pi? this would include the 3 in the beginning.
100th digit of the pi is 7
Pi (represented by the Greek letter π) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter. It is approximately equal to 3.14159,
The decimal representation of pi (π) is an infinite non-repeating sequence of digits, so there is no simple formula or algorithm to determine the value of its digits. However, you can use a computer program or online tool to calculate the digits of pi to a certain number of decimal places.
Assuming you are looking for the 100th decimal digit of pi, it is 7. This means that if you write out the first 100 digits of pi, the 100th digit is 7.
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Question 1 (2 x 12 = 24 marks) Analyze and discuss the performance (in Big-O notation) of implementing the following methods over Singly Linked List and Doubly Linked List Data structures: To be submitted through Turnitin.Maximum allowed similaritv is 15% Operation Singly Linked List Doubly Linked List add to start of list Big-O notation Explanation add to end of list Big-O notation Explanation add at given index Big-O notation Explanation
In analyzing the performance of implementing the given methods over Singly Linked List and Doubly Linked List data structures, we consider the Big-O notation, which provides insight into the time complexity of these operations as the size of the list increases.
Add to Start of List:
Singly Linked List: O(1)
Doubly Linked List: O(1)
Both Singly Linked List and Doubly Linked List offer constant time complexity, O(1), for adding an element to the start of the list.
This is because the operation only involves updating the head pointer (for the Singly Linked List) or the head and previous pointers (for the Doubly Linked List). It does not require traversing the entire list, regardless of its size.
Add to End of List:
Singly Linked List: O(n)
Doubly Linked List: O(1)
Adding an element to the end of a Singly Linked List has a time complexity of O(n), where n is the number of elements in the list. This is because we need to traverse the entire list to reach the end before adding the new element.
In contrast, a Doubly Linked List offers a constant time complexity of O(1) for adding an element to the end.
This is possible because the list maintains a reference to both the tail and the previous node, allowing efficient insertion.
Add at Given Index:
Singly Linked List: O(n)
Doubly Linked List: O(n)
Adding an element at a given index in both Singly Linked List and Doubly Linked List has a time complexity of O(n), where n is the number of elements in the list.
This is because, in both cases, we need to traverse the list to the desired index, which takes linear time.
Additionally, for a Doubly Linked List, we need to update the previous and next pointers of the surrounding nodes to accommodate the new element.
In summary, Singly Linked List has a constant time complexity of O(1) for adding to the start and a linear time complexity of O(n) for adding to the end or at a given index.
On the other hand, Doubly Linked List offers constant time complexity of O(1) for adding to both the start and the end, but still requires linear time complexity of O(n) for adding at a given index due to the need for traversal.
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Which of the following statements must be true about the series An with positive terms if lim = L ? n700 an n=0 The series converges if L = 1 B The series converges if L = 1. The series converges if L = 2. The series converges if L = 0. 21 8 9 10 SA 0.157 0.159 0.171 The alternating series Š (-13k+de converges to S and 0 <115. for all k. The table above shows values of the partial sum 5, (-1) 6+ for four values of nu. If Sis used to approximate the value of the series, what is the alternating series error bound? 0.157 0.288 с 0.302 0.316
The alternating series error bound is 0.028. The alternating series error bound is given by the absolute value of the next term in the series.
From the given information, we have lim(n→∞) An = L, where An is a series with positive terms. We need to determine the statements that must be true based on this information.
Statement A: The series converges if L = 1.
We cannot conclude whether the series converges or diverges based solely on the limit value L = 1. The convergence of a series depends on various factors, such as the behavior of the terms and the convergence tests applied. Therefore, Statement A cannot be determined based on the given information.
Statement B: The series converges if L = 1.
Similar to Statement A, we cannot determine whether the series converges or diverges based solely on the limit value L = 1. Therefore, Statement B cannot be determined based on the given information.
Statement C: The series converges if L = 2.
Again, the convergence of the series cannot be determined solely based on the limit value L = 2. Therefore, Statement C cannot be determined based on the given information.
Statement D: The series converges if L = 0.
Similar to the previous statements, we cannot determine whether the series converges or diverges based solely on the limit value L = 0. Therefore, Statement D cannot be determined based on the given information.
In summary, none of the statements A, B, C, or D can be concluded based on the information provided regarding the limit lim(n→∞) An = L.
Moving on to the second part of the question regarding the alternating series error bound, we are given the values of the partial sum S_6+ of the alternating series for four values of n.
The alternating series error bound is given by the absolute value of the next term in the series. In this case, we can find the error bound by subtracting S_6 from S_5:
Error bound = |S_6 - S_5|
Using the given values, we can calculate the error bound:
Error bound = |0.316 - 0.288|
= 0.028
Therefore, the alternating series error bound is 0.028.
In conclusion, based on the given information, none of the statements A, B, C, or D can be determined regarding the convergence of the series based on the limit value. Additionally, the alternating series error bound is 0.028.
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16
Which equation has a graph of a vertical line?
Answer:
3rd option
Step-by-step explanation:
The equation of a vertical line parallel to the y- axis is
x = c
where c is the value of the x- coordinates the line passes through
The only equation in this form is option 3
3x - 2 = 0 , as
3x = 2 and
x = \(\frac{2}{3}\) ← equation of vertical line
Help me solve for x plz
The points (1,r) and (5, -3) lie on a line with slope
4
Find the missing coordinate r.
Answer:
-19
Step-by-step explanation:
5-1=4
x/4=4
16/4=4
-3-16=-19
HURRY HURRY WHAT IS THE SOLUTION TO THIS INEQUALITY
6.9
Answer: no question=no answer
Step-by-step explanation:
which number is a factor of the prime factorization of 60?
answers: 3 9 15 6
Answer:
I think it is 3
Step-by-step explanation:
I think that is the answer because three is the only prime number sorry if I am wrong.
Jea need $140 to buy a bicycle. He ave $10 each week. He ha already aved $60. How many week from now can jea buy the bicycle
Answer the following questions below: True or False
- A survey timeline indicates the date for activation of the measurement instrument.
True or False
- Instrument disposition can involve the creation and delivery to a dropbox for paper-and-pencil instruments.
True or False
- Participant data entry can increase the accuracy of a data record.
True or False
- A significant number of "Don’t Know" responses to a closed measurement question may mean that the measurement instrument failed to provide appropriate response categories.
True or False
- When cross-tabulation is used in CFA for testing purposes, it’s called a contingency table.
True or False
- Percentages translate the data to a base of 100, paving the way for relative comparisons between variables.
True or False
The answer to the questions on instrument are:
True
True
True
True
False
True
How to answer the questions below: True or False?True: A survey timeline typically includes various dates related to the survey administration, such as the start and end dates for participant recruitment, the date for activation of the measurement instrument, and the deadline for completing the survey. The date for activation of the measurement instrument refers to the date on which the survey respondents can begin answering the questions.
True: Instrument disposition refers to the process of distributing and collecting the measurement instruments. This can involve various methods, such as mailing the instruments to the participants or delivering them to a dropbox for paper-and-pencil instruments.
True: Participant data entry can increase the accuracy of a data record because it eliminates the need for manual data entry, which can introduce errors. With participant data entry, the participants themselves enter their responses directly into a computer or mobile device, ensuring that the data is accurate and complete.
True: A significant number of "Don’t Know" responses to a closed measurement question may indicate that the measurement instrument failed to provide appropriate response categories. If the survey respondents are unsure about how to answer a question and there is no appropriate response option available, they may select "Don’t Know" instead.
False: Cross-tabulation in CFA (Confirmatory Factor Analysis) is typically used to examine the relationship between two or more variables, and it is not called a contingency table. A contingency table is a table used to display the frequencies and/or percentages of two or more categorical variables.
True: Percentages are a way of expressing data in relation to a base of 100, making it easier to compare variables. For example, if 80 out of 100 respondents answered "Yes" to a question, we can say that the percentage of respondents who answered "Yes" is 80%. This allows us to compare the percentage of "Yes" responses to other questions or variables in the survey.
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Can anyone help me please
I NEED THIS ASAP:
Apply the distributive property to: 45x - 15y + 9z.
Answer:
15x-5y+3z
Step-by-step explanation:
I divided everything by three.
Answer: 15x-5y+3z
Step-by-step explanation:
you’re supposed to divide everything by 3 and you’ll get the answer. 45/3=15 15/3=5 and 9/3=3. I hope that helped you.
How can I find the radius of a sphere given the volume ?
Answer:
\(v = \frac{4}{3} \pi {r}^{3} \)
\( {r}^{3} = \frac{3v}{4\pi} \)
\(r = \sqrt[3]{ \frac{3v}{4\pi} } \)
Answer:
Step-by-step explanation:
A formula for the volume of a sphere :
V = (Volume) = 4πr³/3
where r is the sphere's radius.
Therefore,
3V = 4πr³
\(\frac{3V}{4\pi } =r^3\)
\(\sqrt[3]{\frac{3V}{4\pi } } =r\)
In ΔMNO, m∠M = 57° and m∠N = 75°. Which list has the sides of ΔMNO in order from shortest to longest?
Answer:
B. MN, NO, OM
Step-by-step explanation:
Recall: In any triangle, the sides and the angles are related in the following way:
*The largest angle and the longest side are opposite each other
*The medium angle and the mid-sized side are opposite each other
*The smallest angle and the shortest side are opposite each other
In ∆MNO, we are given that
m<M = 57° which is opposite to side NO
m<N = 75° which is opposite to side OM
m<O = 180° - (75° + 57°) (sum of triangle)
m<O = 48° which is opposite to side MN
Therefore, we can write the order of shortest to longest side in relation to their opposite angles as follows:
MN, NO, OM
you travel 243 miles in 4.5 .find the speed you travel.
average speed : 50.28 mph
5.
The table shows the estimated number of deer living in a forest over a five-year period. Are the data best represented by a linear, exponential, or quadratic model? Write an equation to model the data.
A. exponential; y = 89 • 0.62x
B. linear; y = 0.62x + 89
C. quadratic; y = 0.62x2 + 89
D. quadratic; y = 89x2 + 0.62
Answer:
A. exponential; y = 89 • 0.62x
Step-by-step explanation:
exponential; y = 89 • 0.62^x
Answer:
Option B exponential y = 89 · 0.62x
Step-by-step explanation:
The table shows the estimated number of deer living in a forest over a five year period.
Year Number of deers
0 89
1 55
2 34
3 21
4 13
Now we have to find the model representing this situation. Difference in number of deer, in the forest.
We can see there is a common ratio between each successive term r = = 0.618
r = = 0.618
so it can be represented by an exponential model.
Which description best compares the graphs of the two functions below?
A description which best compares the graphs of the two functions above include the following: B. The line for function A is steeper.
How to compare the two functions?In order to compare the two functions, we would have to find the slope of function B based on the data points contained in the table by using the slope formula.
Mathematically, the slope of a straight line can be calculated by using this formula;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Substituting the given points into the slope formula, we have the following;
Slope, m = (-1 - (-2))/(3 - 0)
Slope, m = (-1 + 2)/3
Slope, m =1/3
From function A y = 3x - 2, the slope is equal to 3. Consequently, we can logically deduce that the line representing function A is steeper than the line representing function B because its slope is bigger i.e 3 > 1/3.
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Help please……………………………..
Answer:
Diagram number 3 is not a function.
Step-by-step explanation:
It isn't a function because C goes to 2 different numbers.
Explanation:
For choice (3), the input C maps to more than one output (The values 1 and 3 at the same time). A function must have each input map to one and only one output. So this is why relation (3) is not a function.
The other answer choices (1), (2) and (4) have each input point to exactly one output. So these are functions that can be ruled out.
Solve this too please:
1) 91+35--->___+___=___
2) 16+15--->___+___=___
3) 84+77--->___+___=___
4) 25+49--->___+___=___
5) 46+31--->___+___=___
6) 44+56--->___+___=___
7) 82+35--->___+___=___
8) 57+9--->___+___=___
Answer:
1) 91+35=90+40+130
2) 16+15=20+20=40
3) 84+77=80+80=160
4) 25+49=30+50+80
5) 46+31=50+30=80
6) 44+56=40+60=100
7) 82+35=80+40=120
8) 57+9=60+10=70
Find the area of each figure. The unit of length is cm (b) E D 8 25: :15 8 A 36 A 10 M 17 N 12 B
please help asap please please
Given f(x)=-2x-1, what is the value of f(5)
Answer:
x=-11 this is right