Which of the following is true about a "cumulative ACK witha sequence number M in the Go-Back-N protocol) A When received by the sender, it retransmits all da packets in the window up to sequence number M When received by the sender, it slides its window by b When sent by the receiver, all packets up to sequer number M were correctly received and delivered D. Both (B) and (C) B. C. 11. The function that is not a cause of extra overhead of routers used to forward IPv4 datagrams is: A. The datagram header checksum B. The datagram fragmentation C. The datagram options D. The datagram reassembly 12. In the Selective-Repeat protocol, if the timer expires, A. All packets in the window are retransmitted and t is restarted B The packet, for which the timer has exp retransmitted immediately and its timeout in Part 1: (20 points, I point each) Choose the best answer for each of the following multiple-choice questions 1. Which of the following Internet transport-layer services provide error checking" A. TCP B. UDP C Neither TCP nor UDP D. Both TCP and UDP 2. The type of delay that is not caused by the store-and-forward strategy used by the switching devices is: A. The processing delay B. The queuing delay C. The transmission delay D. The propagation delay 3. In a statistical multiplexed system, if the average queuing delay is very close to zero, then: A. The system is very well-engineered B. The traffic intensity is greater than 50% C. The system resources are inefficiently utilized D. None of the above
TCP provides error checking to ensure reliable data delivery, making option A the correct answer. Only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.
TCP (Transmission Control Protocol) provides error checking as part of its services. It ensures reliable data delivery by using acknowledgments and sequence numbers to detect and recover from packet loss, errors, or out-of-order delivery. When a TCP receiver receives data, it sends an acknowledgment (ACK) back to the sender to confirm the successful reception of packets. If the sender does not receive an ACK for a particular packet within a specified timeout period, it assumes the packet was lost or damaged and retransmits it.
TCP provides error checking to ensure reliable data delivery, making option A the correct answer.
The propagation delay is the time it takes for a signal to travel from the source to the destination. It is determined by the physical distance between the devices and the speed of signal propagation in the transmission medium. The propagation delay is an inherent characteristic of the medium and cannot be eliminated by switching devices or other strategies.
The other three options—processing delay, queuing delay, and transmission delay—are all caused by the store-and-forward strategy used by switching devices. Processing delay refers to the time taken to examine and process the packet headers. Queuing delay occurs when packets have to wait in a queue before being transmitted. Transmission delay is the time it takes to push the bits onto the transmission medium.
Among the given options, only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.
3. The correct answer is A. The system is very well-engineered.
In a statistical multiplexing system, the queuing delay is the delay experienced by packets waiting in a queue before being transmitted. If the average queuing delay is very close to zero, it indicates that the system is well-engineered and efficiently managing its resources. A well-designed system can minimize or eliminate queuing delays by appropriately allocating resources and ensuring efficient scheduling algorithms.
Traffic intensity, which represents the ratio of the average traffic load to the transmission capacity, does not directly determine the queuing delay. It is possible to have low queuing delays even with high traffic intensity if the system is well-designed.
When the average queuing delay is close to zero, it suggests that the system is well-engineered and efficiently utilizing its resources, as stated in option A.
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The following data points represent the number of points the Hawaii Eagles football team scored each game.
17, 33,28,23,10,42,3
Using the data, create and histogram
The class intervals are given as:
0 - 15 15-30 30-45
2 3 2
What is a Histogram?A histogram is a graphical representation of the distribution of numerical data. It is a way of summarizing the shape and spread of a set of continuous data values into a series of bins or intervals.
The histogram is a bar graph-like representation of the data, where the data is grouped into intervals or bins on the horizontal axis and the frequency or count of observations falling into each bin is represented by the height of the bar on the vertical axis.
Each value is grouped into one of three ranges, 0-15, 15-30, 30-45, once we know how many values are in each group, we can graph it.
The class intervals are given as:
0 - 15 15-30 30-45
2 3 2
The histogram is provided below:
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the police department is investigating the need for a speed camera to be implemented on swift road. a sample of 61 cars passing through that road on a particular day were randomly selected and their speeds recorded. the speed limit on swift road is 60 miles per hour (mph). the mean speed for the sample was calculated as 40 mph. the standard deviation of the speeds for the sample was calculated as 6 mph. the standard deviation for the population of cars driving on swift road is unknown.
(a) Approximate the population standard deviation (?) with the sample standard deviation (s).
Approximate the standard normal distribution with the Student's t distribution.
(b) The lower bound is 40.35 and the upper bound is 41.65.
(a) Approximate the population standard deviation (?) with the sample standard deviation (s).
Approximate the standard normal distribution with the Student's t distribution.
(b) The degree of freedom =n-1=60-1=59
Given a=0.1, t(0.05, df=59) =1.67 (from student t table)
So the lower bound is
xbar -t*s/vn = 41 -1.67*3/sqrt(60) =40.35
So the upper bound is
xbar +t*s/vn = 41 +1.67*3/sqrt(60) =41.65
The standard deviation is a statistical metric that determines how much a bunch of values deviate from the mean. Simply said, standard deviation quantifies the distance between integers in a data collection. The square root of the variance is used to construct this measure.
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What is the slope of the line that passes through the points (8, 7) and (4, 5)
Answer:
The slope is 1/2
Step-by-step explanation:
x-x/y-y
(7-5)/(8-4)=2/4=1/2
Simplify: 6-4[3(2x+5)-4x]
Answer:
The answer is −2(4+27)
Solve for x, please :))))))
Answer:
5x - 10 = 2(2x + 2)
5x - 10 = 4x + 4
x = 14
Middle Segment of a Triangle:
Triangles are geometric figures with three sides and three internal angles. We can find different types of lines inside a triangle; one of them is the middle segment. The middle segment of a triangle is a line parallel to one of the sides and bisecting the other two sides. Let L be the line of the middle segment and AC the side parallel to the line L, then the formula of the middle segment is:
L = AC/2
We are given a diagram:
Our objective is to find the missing length of RQ.
We can see that the RQ line divides the ST and UT lines in equal parts. Moreover, the SU and RQ lines are parallel; therefore, we can conclude that the RQ line is the middle segment of the STU triangle. So:
RQ = SQ/2
→2x+2 = (5x-10)/2
→2(2x+2) = 5x-10
→4x+4 = 5x-10
→ 5x-4x = 10+4
x = 14
and RQ = 30
and SU = 60
Write an equation in slope-intercept form of the line shown. (3,1) (1,-3)
Answer:
\(y = 2x - 5\)
Step-by-step explanation:
The first step in finding the equation of a line from a given set of points is to find its slope. The slope of a line is defined by the formula:
\(m = \dfrac{\textrm{rise}}{\textrm{run}} = \dfrac{y_2 - y_1}{x_2 - x_1}\)
In this problem, we are given two points in the form \((x_1, y_1)\) and \((x_2, y_2)\).
So, we can define the x's and y's as:
\(x_1 = 3\), \(y_1 = 1\), \(x_2 = 1\), \(y_2 = -3\).
Hence, the slope of the line can be solved for.
\(m = \dfrac{-3 - 1}{1 - 3}\)
\(m=\dfrac{-4}{-2}\)
\(m = 2\)
So, the slope of the line is 2.
Now, we can plug this into the point-slope equation for a line where (a, b) is a point on the line and m is its slope.
\(y - b = m(x - a)\)
I will use the point (3, 1):
\(y - 1 = 2(x - 3)\)
and isolate y to put it into slope-intercept form.
\(y - 1 = 2x - 6\)
\(y = 2x - 6 + 1\)
\(y = 2x - 5\)
So, the equation in slope-intercept form for the line that goes through the points (3, 1) and (1, -3) is \(y = 2x - 5\).
Bo fell asleep 84% if the total length was 600 miles how many miles had they travel when bo fell asleep
The total distance traveled when Bo fell asleep is 504 miles.
What is the distance traveled?
The path taken by an object to move from a starting point to an ending location in a specified amount of time with a specific velocity is known as the distance traveled.
Given, the total length of distance = 600 miles
Bo fell asleep = 84%
Let 'x' be the distance traveled.
Then, according to the question
x = 84% of 600 miles
or, x = \(\frac{84}{100} * 600\)
or, x = 84*6
or, x = 504 miles
Hence, the total distance traveled when Bo fell asleep is 504 miles.
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Help please (Image attached)
The value of the infinite series as n tends to 0 is: 0
How to estimate infinite series?Infinite series is defined as the sum of infinitely many numbers related in a given way and listed in a given order. Infinite series are important in mathematics and in such disciplines as physics, chemistry, biology, and engineering.
From the infinite series, we want to find the value of the series as n tends to 0.
We are given the series as:
x/2ˣ
At x = 0, we have:
0/2⁰ = 0/1 = 0
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What is the slope intercept form of (-2, -3) and (0,3)
write the trigonometric equation for the function with a period of 6. the function has a maximum of 3 at x
The trigonometric equation for the function with a period of 6 is \(f(x) = A sin (\frac{\pi}{3}t)\).
What are trigonometric functions?The simplest definition of a trigonometric function is the function of an angle in a triangle, often known as a circular function. It implies that these trig functions can be used to determine the relationship between a triangle's angles and sides.
The general equation of the wave is given by the formula:
f(x) = A sin(wt)
Where, \(w = \frac{2\pi}{T}\)
where, T is the time period.
Given that T = 6, substituting the value in the formula we have;
\(w = \frac{2\pi}{6}\)
\(w = \frac{\pi}{3}\)
Substituting the value of w in the general equation:
\(f(x) = A sin (\frac{\pi}{3}t)\)
Hence, the trigonometric equations for the function with a period of 6 is \(f(x) = A sin (\frac{\pi}{3}t)\).
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Are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.
a. True
b. False
This statement is - true.
Two angles that lie in the same plane and have a common vertex and a common side but have no common interior points are the meaning of adjacent angles.
A figure in which two rays meet at a common point is called an angle. The common endpoint of two rays that form the angle is called a vertex. Interior points are the points that lie within the arms of the angle produced indefinitely.If the two angles share a common vertex and side, those angles are called adjacent angles. Adjacent angles are categorized as complementary angles and supplementary angles.If the sum of two adjacent angles comes to 90°, those angles are called complementary angles because they complement each other. e.g. 40° and 50° are complementary angles.When the sum of two adjacent angles becomes 180° and the angles form a straight line, those angles are known as supplementary angles. e.g. 120° and 60° are supplementary angles.Read more about adjacent angles:
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I will rate as soon as I can, thank you.
a) Show | > is normalized
b) Show it's an eigenvector of the lowering operator c) how is it a eigenvector of ^t ?
d) what is its eigenvalue
∣α⟩=e−21∣α∣2∑n=0[infinity]n!αn∣n⟩
a) |α⟩ is normalized if α = |α|² and α is a positive real number.
b) |α⟩ is an eigenvector of the lowering operator with eigenvalue λ = |α|.
c) |α⟩ is also an eigenvector of the transpose operator t with eigenvalue μ = |α|.
d) The eigenvalue of |α⟩ with respect to t is μ = |α|.
a) To show that |α⟩ is normalized, we need to compute its norm, which is given by ⟨α|α⟩. Let's calculate it:
⟨α|α⟩ = e(-|α|²) ∑n=0 [infinity] (n!/\(\alpha^n\) ∑m=0 [infinity] (m!/\(\alpha^m\)) ⟨n|m⟩
Since the states |n⟩ form an orthonormal basis, ⟨n|m⟩ = δ_n,m (Kronecker delta), which equals 1 when n = m and 0 otherwise. Therefore, the sum simplifies to:
⟨α|α⟩ = e(-|α|²) ∑n=0 [oo] (n!/αⁿ)
Using the identity eˣ = ∑k=0 [infinity] (\(x^k\) / k!), we can rewrite the sum as:
⟨α|α⟩ = e(-|α|²) \(e^\alpha\) = e(α - |α|²)
Now, to show that |α⟩ is normalized, we need to confirm that ⟨α|α⟩ = 1:
e(α - |α|²) = 1
This equation holds true when α - |α|² = 0, which implies that α = |α|². Since α is a complex number, we can write it as α = |α|e(iθ). Substituting this into the equation, we get:
|α|e(iθ) = |α|²
Dividing both sides by |α|, we obtain:
e(iθ) = |α|
This equation is satisfied when θ = 0, which means α is a positive real number. Therefore, |α⟩ is normalized.
b) To show that |α⟩ is an eigenvector of the lowering operator, we need to demonstrate that a|α⟩ = λ|α⟩, where a is the lowering operator. The lowering operator is defined as a = ∑n=0 [oo] √(n+1) |n⟩⟨n+1|.
Let's compute a|α⟩:
a|α⟩ = ∑n=0 [oo] √(n+1) |n⟩⟨n+1| (\(e^{-1/2}\)|α|²/2 ∑m=0 [infinity] (m!/α) |m⟩)
We can interchange the order of the sums and use the property of the Kronecker delta to simplify the expression:
a|α⟩ = ∑n=0 [oo] √(n+1) (e(-1/2)|α|²/2 (n+1)!/αⁿ⁺¹) |n⟩
Next, we can factor out the common terms:
a|α⟩ = (\(e^{-1/2}\)|α|²/2) ∑n=0 [oo] √(n+1) (n+1)!/αⁿ⁺¹ |n⟩
Now, notice that the term in the sum is precisely the coefficient of αⁿ in the series expansion of eᵃ. Therefore, we can rewrite the expression as:
a|α⟩ = (\(e^{-1/2}\)|α|²/2) eᵃ |α⟩
Since |α⟩ is defined as \(e^{-1/2}\)|α|²/2 ∑n=0 [oo] (n!/αⁿ) |n⟩, we can simplify further:
a|α⟩ = |α| |α⟩
Therefore, we have shown that |α⟩ is an eigenvector of the lowering operator with eigenvalue λ = |α|.
c) To show that |α⟩ is an eigenvector of the t operator, we need to demonstrate that t |α⟩ = μ |α⟩, where t is the transpose operator.
The transpose operator acts on the ket vectors by taking the complex conjugate of their components. Therefore, we have:
t |α⟩ = (t \(e^{-1/2}\)|α|²/2) ∑n=0 [oo] (n!/αⁿ) (t |n⟩)
Since the transpose of |n⟩ is its bra vector, we can write:
t |α⟩ = (t \(e^{-1/2}\)|α|²/2) ∑n=0 [oo] (n!/αⁿ) ⟨n|
Now, using the definition of the transpose of a complex number, we have:
t |α⟩ = (\(e^{-1/2}\))|α|²/2) ∑n=0 [oo] (n!/αⁿ) ⟨n|
Finally, notice that the expression inside the sum is the same as the coefficient of αⁿ in the series expansion of eᵃ. Therefore, we can simplify further:
t |α⟩ = (\(e^{-1/2}\)|α|²/2) eᵃ ∑n=0 [oo] (n!/αⁿ) ⟨n|
Since |α⟩ is defined as \(e^{-1/2}\)|α|²/2 ∑n=0 [oo] (n!/αⁿ) |n⟩, we can rewrite the expression as:
t |α⟩ = |α| |α⟩
Therefore, |α⟩ is an eigenvector of the t operator with eigenvalue μ = |α|.
d) The eigenvalue of |α⟩ with respect to the t operator is μ = |α|.
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a mural that is 20.6 feet tall and 35.8 feet wide is painted on the wall what is the total area of the mural that is covered by the wall
Answer:
737.48 ft^2
Step-by-step explanation:
20.6*35.8
-4×(-2)[2×(-6)+3×(2×6-4-4)]
\(\large{\underline {\underline {\frak {SolutioN:-}}}}\)
➝ -4 × (-2) [2 × (-6)+ 3×(2×6-4-4) ]
➝ -4 × (-2) [2 × (-6) + 3 × (12-4-4) ]
➝ -4 × (-2) [2 × (-6) + 3 × (12-8) ]
➝ -4 × (-2) [2 × (-6) + 3 × (4) ]
➝ -4 × (-2) [2 × (-6) + 12 ]
➝ -4 × (-2) [(-12) + 12 ]
➝ -4 × (-2) [0]
➝ -4 × 0
➝ 0
Answer:
-4*-2
Step-by-step explanation:
the multiple of both side is 4*2*,26+*32*--=6 44
consider the initial value problem y′=3y2, y(0)=y0. for what value(s) of y0 will the solution have a vertical asymptote at t=2 and a t -interval of existence −[infinity]
The required value(s) of y0 such that the solution has a vertical asymptote at t = 2 and a t-interval of existence −[infinity] is:
y0 < 0.
How to solve this initial value problemThe given initial value problem:
y′=3y2, y(0)=y0.
We can solve this initial value problem by using separation of variables. That is, we can write the given equation as:
dy/y2 = 3dt
Integrating both sides, we get:
-1/y = 3t + c, where c is a constant.
Then, the general solution of the given differential equation is:
y(t) = -1/(3t + c).
We are given that the solution has a vertical asymptote at t = 2. Therefore, we have:
3t + c = 0 when t = 2, which gives c = -6.
Then, we have:
y(t) = -1/(3t - 6)
Now, we need to determine the values of y0 such that the solution has a t-interval of existence −[infinity].
From the above equation, we see that the solution has a vertical asymptote at t = 2.
Hence, the interval of existence of the solution is (−∞, 2) U (2, ∞).
Also, for t in (−∞, 2), we have:y(t) = -1/(3t - 6) < 0Therefore, for the solution to have a t-interval of existence −[infinity], we must have y0 < 0.
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A shoemaker sold a pair of for $245.99 if the buyer a $300.00 bill, how much will the buyer receive in change?
*two decimal places don't forget your $ sign. Example: $50.00 NOT 50*
Answer:
$54.01
Step-by-step explanation:
All you have to do is $300.00-$245.99 .
3. What value of r makes this equation true?
2(r+ 8) = r + 10
Step-by-step explanation:
2(r+8)=r+10
2r+16=r +10
Grouping like terms
2r-r=10-16
r = -6
if v²=u²+2gs, find te value of s when v = 25 , u = 12 and g = 10
The value of s for the given value is 24.05.
Given is an equation v² = u²+2gs, we need to find the value of s if v = 25, u = 12 and g = 10,
So,
25² = 12² + 2(10)s
625 = 144 + 20s
20s = 481
s = 24.05
Hence the value of s for the given value is 24.05.
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Marian Plunket owns her own business and is considering an investment. if she undertakes the investment, it will pay $28,000 at the end of each of the new 3 years. the opportunity requires an initial investment of $7,000 plus an additional investment at the end of the second year of $35,000. what is the NPV of this opportunity if the interest rate is 8% per year? Should Marian take it?
The NPV is positive, it is worth taking the Investment.
Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.
This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:
NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.
The given problem can be solved by using the following steps:
Calculate the present value (PV) of the expected cash inflows:
Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82
Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39
Since the NPV is positive, it is worth taking the investment.
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Ed has $5.06.
He finds $1.03.
About how much $ does he have now?
Answer:
Ed now has $6.09
what's 12+12+12?
_______
.
Answer:
the answer is ;
12+12+12 = 36
PLEASE HURRY! DUE TOMORROW IM SO LATE TO DO THIS!! PLEASE HELP!
A student's scores in a history class are listed.
45, 52, 65, 68, 68, 70, 77, 78, 78, 81, 85, 96, 100
Which of the following histograms correctly represents the data?
A. ) A histogram titled Grades in History Class. The x-axis is labeled Grade Earned and has intervals listed 41 to 50, 51 to 60, 61 to 70, 71 to 80, 81 to 90, 91 to 100. The y-axis is labeled Frequency and begins at 0, with tick marks every one unit up to 9. There is a shaded bar for 41 to 50 that stops at 1, for 51 to 60 that stops at 2, for 61 to 70 that stops at 2, for 71 to 80 that stops at 4, for 81 to 90 that stops at 2, and for 91 to 100 that stops at 3.
B. ) A histogram titled Grades in History Class. The x-axis is labeled Grade Earned and has intervals listed 41 to 50, 51 to 60, 61 to 70, 71 to 80, 81 to 90, 91 to 100. The y-axis is labeled Frequency and begins at 0, with tick marks every one unit up to 9. There is a shaded bar for 41 to 50 that stops at 1, for 51 to 60 that stops at 1, for 61 to 70 that stops at 4, for 71 to 80 that stops at 3, for 81 to 90 that stops at 2, and for 91 to 100 that stops at 2.
C. ) A histogram titled Grades in History Class. The x-axis is labeled Grade Earned and has intervals listed 41 to 50, 51 to 60, 61 to 70, 71 to 80, 81 to 90, 91 to 100. The y-axis is labeled Frequency and begins at 0, with tick marks every one unit up to 9. There is no shaded bar for 41 to 50. There is a shaded bar for 51 to 60 that stops at 1, 61 to 70 that stops at 2, 71 to 80 that stops at 3, 81 to 90 that stops at 4, and 91 to 100 that stops at 3.
D. ) A histogram titled Grades in History Class. The x-axis is labeled Grade Earned and has intervals listed 41 to 50, 51 to 60, 61 to 70, 71 to 80, 81 to 90, 91 to 100. The y-axis is labeled Frequency and begins at 0, with tick marks every one unit up to 9. There is a shaded bar for 41 to 50 that stops at 2, 51 to 60 that stops at 1, 61 to 70 that stops at 1, 71 to 80 that stops at 4, 81 to 90 that stops at 3, and 91 to 100 that stops at 2.
The correct histogram representation for the given scores in the history class is option B.
Based on the provided data, the correct histogram representation is:
B. A histogram titled Grades in History Class.
The x-axis is labeled Grade Earned and has intervals listed 41 to 50, 51 to 60, 61 to 70, 71 to 80, 81 to 90, 91 to 100.
The y-axis is labeled Frequency and begins at 0, with tick marks every one unit up to 9.
There is a shaded bar for 41 to 50 that stops at 1, for 51 to 60 that stops at 1, for 61 to 70 that stops at 4, for 71 to 80 that stops at 3, for 81 to 90 that stops at 2, and for 91 to 100 that stops at 2.
The reason for choosing this histogram is as follows:
Looking at the given scores: 45, 52, 65, 68, 68, 70, 77, 78, 78, 81, 85, 96, 100, we can count the frequency of scores within each interval.
In histogram B, the bars correctly represent the frequencies for each interval.
For example, there is one score in the interval 41 to 50, one score in the interval 51 to 60, four scores in the interval 61 to 70, three scores in the interval 71 to 80, two scores in the interval 81 to 90, and two scores in the interval 91 to 100.
The other histograms (A, C, D) have incorrect representations of the frequencies for each interval, which do not match the given scores.
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Which line has an undefined slope?
y = x-5
3y - 6x = 0
x= 10
y = -5
Answer:
x = 10
Step-by-step explanation:
Y = x-5 has a slope of 1
3y - 6x = 0 is a clear linear equation with a Y-intercept of 0
y = -5 has no slope
x = 10 is a line going straight up and intersects the point (10, 0)
Which is an undefined slope
50 pointsssss!!!!
Donny used a ruler to measure the distance across the face of a dime.
Which answer is a reasonable measurement for the width of the dime?
17.9 mm
0.705 in.
1.79 cm
7.05 in.
17.99mm and ).705 in
Step-by-step explanation:
Answer:
0.705 inches and 1.79 centimeters are both reasonable answers (they're the same)
Step-by-step explanation:
18 milimeters is too small
7 inches is too big
If someone gives the correct solution will give brainiest and a lot of points.
The Domain is correct.
Answer: x = 0.1 and x = 1
Step-by-step explanation:
Answer:
x = 9Step-by-step explanation:
3 log₃ₓ x = 2 log₉ₓ x²3 log x / log 3x = 4 log₉ₓ x3 log x / log 3x = 4 log x / log 9x3 log 9x = 4 log 3x3 log 9 + 3 log x = 4 log 3 + 4 log xlog x = 3 log 9 - 4 log 3log x = 3 log 9 - 2 log 9log x = log 9x = 9Solve the system by substitution 3x + 2y = 2
y = X-4
Answer:
(2, -2)
Step-by-step explanation:
x = 2
y = -2
–112.84 – 54.14 – (–29.18)
Step-by-step explanation:
-137.24 would be the answer
water makes up roughly what percentage of your total bodyweight
Water makes up roughly 60% of your total body weight. This means that if you weigh 150 pounds, about 90 pounds of that is water.
Water is essential for the functioning of our bodies. It plays a vital role in maintaining temperature, transporting nutrients and oxygen, and removing waste products. The percentage of water in the human body varies depending on factors such as age, sex, and body composition. On average, water makes up about 60% of an adult's total body weight. This percentage can be higher in infants and lower in elderly individuals.
For example, a person weighing 150 pounds would have approximately 90 pounds of water in their body. It's important to stay hydrated by drinking enough water to replenish the water that our bodies constantly lose through processes like sweating, urination, and breathing.
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help with my geometry please
Answer:
x = 11
z = 86
Step-by-step explanation:
8x + 6 and 10x-16 are vertical angles
Vertical angles are pairs of angles that are opposite each other and have the same vertex, or point of intersection. They are formed when two lines intersect at a point, and are always congruent, or of equal measure.
To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we can start by subtracting 6 from both sides of the equation:
8x + 6 - 6 = 10x - 16 - 6
8x = 10x - 22
Now we can subtract 8x from both sides of the equation:
8x - 8x = 10x - 22 - 8x
0 = 2x - 22
To solve for x, we can add 22 to both sides of the equation:
0 + 22 = 2x - 22 + 22
22 = 2x
Finally, we can divide both sides of the equation by 2 to find the value of x: 22 / 2 = 2x / 2
x = 11
Therefore, the solution to the equation is x = 11.
Now that we have x, z is a supplementary angle to 8x + 6 (or you could do 10x - 16)
Supplementary angles are pairs of angles that add up to 180 degrees. They are formed when two lines intersect at a point, and the angles formed at the intersection are supplementary.
First plug in x, 8x + 6 = 8(11) + 6 = 88 + 6 = 94
180 - 94 = z
z = 86