Answer:
Step-by-step explanation:
8×4 = (A×7) - (A×3) = A(7-3) = A×4
A = 8
Divide using long division.
(9p2 + 8p3 + 12) ÷ (p + 1)
Answer:
8p∧2 ± p - 1 ± 13/p ± 1
Step-by-step explanation:
Divide (9p2 + 8p3 + 12) ÷ (p + 1) and it equals 8p∧2 ± p - 1 ± 13/p ± 1
Answer:
8p^2+p-1 with a remainder of 13
Step-by-step explanation:
p+1 divided by 8p^3+9p^2+0p+12
Zaboca Printing Limited (ZPL) has only one working printer. Eight (8) customers submitted their orders today Monday 6th June 2022. The schedule of delivery of these orders are as follows:
Jobs (in order of arrival) Processing Time (Days) Date Due
A 4 Monday 13th June 2022
B 10 Monday 20th June 2022
C 7 Friday 17th June 2022
D 2 Friday 10th June 2022
E 5 Wednesday 15th June 2022
F 3 Tuesday 14th June 2022
G 8 Thursday 16th June 2022
H 9 Saturday 18th June 2022
All jobs require the use of the only printer available; You must decide on the processing sequence for the eight (8) orders. The evaluation criterion is minimum flow time.
i. FCFS
ii. SOT
iii. EDD
iv. CR
v. From the list (i to iv above) recommend the best rule to sequence the jobs
The recommended rule to sequence the jobs for minimum flow time is the EDD (Earliest Due Date) rule.
The EDD rule prioritizes jobs based on their due dates, where jobs with earlier due dates are given higher priority. By sequencing the jobs in order of their due dates, the goal is to minimize the total flow time, which is the sum of the time it takes to complete each job.
In this case, applying the EDD rule, the sequence of jobs would be as follows:
D (Due on Friday 10th June)
F (Due on Tuesday 14th June)
E (Due on Wednesday 15th June)
C (Due on Friday 17th June)
G (Due on Thursday 16th June)
H (Due on Saturday 18th June)
A (Due on Monday 13th June)
B (Due on Monday 20th June)
By following the EDD rule, we aim to complete the jobs with earlier due dates first, minimizing the flow time and ensuring timely delivery of the orders.
Therefore, the recommended rule for sequencing the jobs in this scenario is the EDD (Earliest Due Date) rule.
Learn more about EDD here: brainly.com/question/30397523
#SPJ11
e:
The dimensions of the base of Box 2 are:
a.width: x; length: 3
b.width: x; length: 4x - 1
c.width: x, length: x - 4
d.width: x, length: 4x + 1
DONE
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Got it right on Edge 2020
$5.9091 $229.74289 $15.99999 to the nearest cent
Answer:
$5.90
$229.70
$16
Step-by-step explanation:
Solve the equation in standard form
The solutions to the equation -30x² + 9x + 60 = 0 are x = 5/2 and x = -4/5.
To solve the equation, we can start by bringing all the terms to one side to have a quadratic equation equal to zero. Let's go step by step:
-5/3 x² + 3x + 11 = -9 + 25/3 x²
First, let's simplify the equation by multiplying each term by 3 to eliminate the fractions:
-5x² + 9x + 33 = -27 + 25x²
Next, let's combine like terms:
-5x² - 25x² + 9x + 33 = -27
-30x² + 9x + 33 = -27
Now, let's bring all the terms to one side to have a quadratic equation equal to zero:
-30x² + 9x + 33 + 27 = 0
-30x² + 9x + 60 = 0
Finally, we have the quadratic equation in standard form:
-30x² + 9x + 60 = 0
Dividing each term by 3, we get:
-10x² + 3x + 20 = 0
(-2x + 5)(5x + 4) = -10x² + 3x + 20
So, the factored form of the equation -30x² + 9x + 60 = 0 is:
(-2x + 5)(5x + 4) = 0
Now we can set each factor equal to zero and solve for x:
-2x + 5 = 0 --> x = 5/2
5x + 4 = 0 --> x = -4/5
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
Faizah is paid $11 per hour for her work at a factory. She works 9 hours a day and 24 days a month. She saves $594 a month. Express the amount she saves as a percentage of her income.
Answer:
The amount she saves is 25% of her income
Step-by-step explanation:
She is paid $11 per hour
She works 9 hours per day
and for 24 days per month
So, she works 9(24) hours per month
= 216 hours per month
Now, she is paid $11 hourly, so for 216 hours,
she will have 11(216) = $2376
Total income = $2376 per month
Saving = $594 per month
As a percentage, we divide the savings by the total income,
savings/(total income) = 594/2376 = 1/4 = 0.25
Hence we get 25%
fabiana is going to construct a rectangular metal box with a volume of 150 in3. her box will have a length of x inches, a width of 3 inches less than its length, and a height that is 1 inch more than its length.
Fabiana is planning to construct a rectangular metal box with a volume of 150 cubic inches. The box will have a length of x inches, a width that is 3 inches less than its length, and a height that is 1 inch more than its length.
To find the dimensions of the box, we need to use the given information about its volume and the relationships between the dimensions.
The volume of a rectangular box is calculated by multiplying its length, width, and height. In this case, the volume is given as 150 cubic inches.
Let's set up the equation based on the given dimensions:
x * (x - 3) * (x + 1) = 150
Simplifying the equation, we have:
x^3 - 2x^2 - 3x + 150 = 0
To find the value of x, we can use various methods such as factoring, graphing, or numerical methods. By solving the equation, we find that x is approximately 5.19 inches.
Therefore, the dimensions of the rectangular metal box that Fabiana will construct are approximately 5.19 inches in length, 2.19 inches in width (5.19 - 3), and 6.19 inches in height (5.19 + 1).
Learn more about volume here:
https://brainly.com/question/28058531
#SPJ11
please help meh i dont know the answer
Positive numbers are located to the right of zero on the number line.
True False
Answer: True, because the negative numbers are located to the left of zero on the number line.
Answer:
True
Step-by-step explanation:
-2,-1,0,1,2
Negative—|—Positive
A company loses $5,400 as the result of a manufacturing defect. The 8 owners of the company must share the loss equally.
Part A
Which expression shows the change in profit for each owner?
A. –5,400 + 8
B. –5,400 – 8
C. –5,400 • 8
D. –5,400 ÷ 8
Part B
Find the change in profit in dollars for each owner.
A. –43,200
B. 675
Answer:
i think d then b ...........
I need help and the time is running please help
Answer:
I think its B
Step-by-step explanation:
I'm sorry if I'm wrong. I'm busy
Answer:
????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????:P
the number line of - 11/4,-2,2/5,-3/5
Answer:
2/5 * 3 1/2 + 4/5 = 11/
5
= 2 1/
5
= 2.2Step-by-step explanation:
Please help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:pretty sure answer is 7- -2 =7+2
Step-by-step explanation:
7- -2=9
7+2=9
If you're estimating the bias of a coin that came up heads 10 times and tails 20 times, what is the maximum likelihood estimate for the bias of this coin (p(heads))
The maximum likelihood estimate for the bias of the coin is 1/3.
How to find the maximum likelihood estimate for the bias?The maximum likelihood estimate for the bias of the coin is the proportion of times it came up heads, which is 10/30 or 1/3.
The idea behind maximum likelihood estimation is to find the value of the parameter (in this case, the bias of the coin) that makes the observed data (in this case, the number of heads and tails) the most likely to occur.
In other words, we want to find the value of the parameter that maximizes the likelihood function.
For a coin flip, the probability of getting heads is p and the probability of getting tails is 1-p. The likelihood function for observing 10 heads and 20 tails is:
\(L(p) = (p)^{10} * (1-p)^{20}\)
To find the maximum likelihood estimate, we take the derivative of the likelihood function with respect to p and set it equal to zero:
\(d/dp [L(p)] = 10*(p)^9*(1-p)^20 - 20*(p)^{10}*(1-p)^{19} = 0\)
Solving for p, we get:
p = 1/3
Therefore, the maximum likelihood estimate for the bias of the coin is 1/3.
Learn more about maximum likelihood estimation
brainly.com/question/30357337
#SPJ11
55 employees increased by 20 percent
please help!
Answer:
I believe its 66
Step-by-step explanation:
55×20%=11
55+11=66
The scale factor of two similar polygons is given. Find the ratio of their perimeters and the ratios of their areas.
1) 3:1
2) 7/4
The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.
Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,
To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.
1) So, perimeter = 3:1
The ratio of areas between two similar polygons is equal to the square of the scale factor.
Since the scale factor is 3:1, the ratio of their areas is:
(Ratio of areas) = (Scale factor)² = 9/1 = 9:1
Similarly,
2) Perimeter = 7:4
Area = 49/16
Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.
Learn more about scale factors click;
https://brainly.com/question/29464385
#SPJ1
At x=x′=0 x = x ′ = 0 and t=t′=0 t = t ′ = 0 a clock ticks aboard an extremely fast spaceship moving past us in the +x x -direction with a Lorentz factor of 100 so v≈c v ≈ c . The captain hears the clock tick again 1.00 s s later.
Where and when do we measure the second tick to occur?
Where and when do we measure the second tick to occur?
The second tick is measured to occur after 224.6 seconds on Earth.
The ship moving towards us in the positive x-direction has a Lorentz factor of 100. Here, the captain hears the clock tick again 1.00 s later. We have to determine where and when we measure the second tick to occur. We know that the first clock ticked at the origin (x = 0) and at t = 0, as measured in the frame of reference of the spaceship. Since the clock is at rest in the spaceship, it ticks once per second, as measured by the captain. As the ship moves past us with a speed of v ≈ c, it experiences time dilation due to the Lorentz factor, meaning that time appears to pass slower on the moving ship than on Earth. Therefore, the elapsed time on Earth will be less than the elapsed time on the spaceship. The time dilation formula is given by: \($$t_0 = \frac{t}{\sqrt{1 - \frac{v^2}{c^2}}}$$\)
where,\($t_0$\) is the time elapsed on the spaceship, t is the time elapsed on Earth, v is the velocity of the spaceship, c is the speed of light
Since the Lorentz factor is given as 100, we have: \($\gamma = \frac{1}{\sqrt{1 - \frac{v^2}{c^2}}} = 100$\)Therefore\($v^2 = c^2 \left(1 - \frac{1}{\gamma^2}\right) = c^2 \left(1 - \frac{1}{10000}\right) = 0.9999c^2$\)
Thus, v ≈0.99995c.
Using the time dilation formula, we get:\($t_0 = \frac{t}{\sqrt{1 - \frac{v^2}{c^2}}} = \frac{1}{\sqrt{1 - 0.99995^2}} \approx 223.6 \; s$\)
So, the clock on the spaceship ticks once every 223.6 seconds, as measured on Earth. The second tick of the clock is heard by the captain 1.00 s after the first tick. Therefore, the second tick occurs when :t = t_0 + 1.00 s = 223.6 s+ 1.00 s = 224.6 s
The second tick is measured to occur after 224.6 seconds on Earth.
Learn more about the time dilation formula: https://brainly.com/question/30493110
#SPJ11
Consider the general problem: -(ku')' + cu' + bu = f, 0 Suppose we discretize by the finite element method with 4 elements. On the first and last elements, use linear shape functions, and on the middle two elements, use quadratic shape functions. Sketch the resulting basis functions. What is the structure of the stiffness matrix K (ignoring boundary conditions); that is indicate which entries in K are nonzero.
We need to consider the general problem: \[-(ku')' + cu' + bu = f\]If we discretize by the finite element method with four elements.
On the first and last elements, we use linear shape functions, and on the middle two elements, we use quadratic shape functions. The resulting basis functions are given by:The basis functions ϕ1 and ϕ4 are linear while ϕ2 and ϕ3 are quadratic in nature. These basis functions are such that they follow the property of linearity and quadratic nature on each of the elements.
For the structure of the stiffness matrix K, we need to consider the discrete problem given by \[KU=F\]where U is the vector of nodal values of u, K is the stiffness matrix and F is the load vector. Considering the above equation and assuming constant values of k and c on each of the element we can write\[k_{1}\begin{bmatrix}1 & -1\\-1 & 1\end{bmatrix}+k_{2}\begin{bmatrix}2 & -2 & 1\\-2 & 4 & -2\\1 & -2 & 2\end{bmatrix}+k_{3}\begin{bmatrix}2 & -1\\-1 & 1\end{bmatrix}\]Here, the subscripts denote the element number. As we can observe, the resulting stiffness matrix K is symmetric and has a banded structure.
The element [1 1] and [2 2] are common to two elements while all the other elements are present on a single element only. Hence, we have four elements with five degrees of freedom. Thus, the stiffness matrix will be a 5 x 5 matrix and the structure of K is as follows:
$$\begin{bmatrix}k_{1}+2k_{2}& -k_{2}& & &\\-k_{2}&k_{2}+2k_{3} & -k_{3} & & \\ & -k_{3} & k_{1}+2k_{2}&-k_{2}& \\ & &-k_{2}& k_{2}+2k_{3}&-k_{3}\\ & & & -k_{3} & k_{3}+k_{2}\end{bmatrix}$$Conclusion:In this question, we considered the general problem given by -(ku')' + cu' + bu = f. We discretized it by the finite element method with four elements. On the first and last elements, we used linear shape functions, and on the middle two elements, we used quadratic shape functions. We sketched the resulting basis functions. The structure of the stiffness matrix K was then determined by ignoring boundary conditions. We observed that it is symmetric and has a banded structure.
To know more about general problem visit
https://brainly.com/question/24486535
#SPJ11
The state of a spin 1/2 particle in Sx basis is defined as (Ψ) = c+l + x) + i/√7 l - x) a) Find the amplitude c+ assuming that it is a real number and the state vector is properly defined. b) Find the expectation value . c) Find the uncertainty △SX.
1) The amplitude c+ is c+l
2) The expectation value is 0
3) The uncertainty ΔSX is √(3/7) c+.
Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:
Ψ = c+ |+> + c- |->
where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.
Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->
Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.
Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).
Now, |+> can be written as:|+> = 1/√2(|l> + |r>)
Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)
Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)
Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->
Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:
c+/√2 = c+l/√2 + i/(√7√2)
Therefore, c+ = c+l
The amplitude c+ is a real number and is equal to c+l
The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>
Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>
Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)
As c+ is a real number, Im(c+) = 0
Therefore, = 0
The uncertainty ΔSX in the state |Ψ> is given by:
ΔSX = √( - 2)
where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2
Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>
Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)
Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+
Learn more about the wave function at
https://brainly.com/question/31744195
#SPJ11
A student needs 15 minutes to solve an algebra problem how many minutes dose this student need to slove 5 problems?
Answer:
75 minutes or 1 hour and 15 minutes
Step-by-step explanation:
15·5=75
Answer:
3 min's per question
Step-by-step explanation:
Listed below are the lead concentrations in μg/g measured in different traditional medicines. Use a 0.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 19μg/g. Assume that the sample is a simple random sample.
2.5
4.5
13.5
21
5.5
21
20.5
21
22
20.5
Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? A. H
0
:μ=19μg/g B. H
0
:μ=19μg/g H
1
:μ>19μg/g H
1
:μ<19μg/g C. H
0
:μ=19μg/g D. H
0
:μ>19μg/g H
1
:μ
=19μg/g H
1
:μ<19μg/g
The null hypothesis is H₀: μ = 19 μg/g, and the alternative hypothesis is H₁: μ < 19 μg/g.
In this hypothesis test, the aim is to determine whether the mean lead concentration for all traditional medicines is less than 19 μg/g. The null hypothesis (H₀) represents the claim being tested, which states that the mean lead concentration is equal to 19 μg/g. The alternative hypothesis (H₁) represents the opposite claim, suggesting that the mean lead concentration is less than 19 μg/g. Since the problem states that the claim being tested is whether the mean lead concentration is less than 19 μg/g, the appropriate alternative hypothesis is H₁: μ < 19 μg/g.
The significance level of 0.01 indicates that if the observed sample data provides strong evidence against the null hypothesis, it would need to be extremely unlikely to occur by chance alone in order to reject the null hypothesis in favor of the alternative. The sample data would be used to calculate the test statistic and p-value, allowing us to make a decision regarding the null hypothesis.
learn more about null hypothesis here
https://brainly.com/question/29892401
#SPJ11
A dilation has center (0,0). Find the image of the point L(−8,0) for the scale factor 9.
Given:
Center of dilation: (0, 0)
Scale factor = 9
Let's find the image of point L(-8, 0) after the dilation with the given scale factor.
To find the image of a point after dilation, multiply the coordinates of point by the scale factor of dilation.
We have:
L(-8, 0) ==> (-8 x 9, 0 x 9) ==> L'(-72, 0)
Therefore, the image of the point after a dilation with a scale factor of 9 is:
(-72, 0)
ANSWER:
(-72, 0)
A _____ standard score indicates that the original score is _____ than the mean.
Answer:
A positive standard score indicates that the original score is greater than the mean
Step-by-step explanation:
please mark as brainliest
A negative standard score indicates that the original score is lower than the mean.
A standard score, also known as a z-score, is a statistical measure that represents the number of standard deviations an individual score is away from the mean of a distribution. It provides a standardized way to compare and interpret individual scores within a dataset.
When the standard score is negative, it means that the original score is below the mean of the distribution. In other words, the value associated with the score is lower than the average value in the dataset.
For example, if we have a dataset with a mean of 50 and an individual score of 45, we can calculate the standard score (z-score) using the formula:
z = (x - μ) / σ
where x is the original score, μ is the mean, and σ is the standard deviation.
To know more about mean:
https://brainly.com/question/31101410
#SPJ2
How are the rules for dividing two negative fractions related to the rules for multiplying
two negative fractions? Will the answer be positive or negative? Explain.
The relation between multiplying and dividing two negative fractions is needed.
When multiplying and dividing two negative fractions the answer will be always positive.
Let \(-\dfrac{a}{b}\) be one fraction
and \(-\dfrac{c}{d}\) be another fraction
Let us multiply them
\(-\dfrac{a}{b}\times -\dfrac{c}{d}=+\dfrac{ac}{bd}\)
Let us divide them
\(\dfrac{-\dfrac{a}{b}}{-\dfrac{c}{d}}\)
This can also be written as
\(-\dfrac{a}{b}\times -\dfrac{d}{c}=+\dfrac{ad}{bc}\)
Since, multiplication and division are the inverse of each other the negative signs cancel each other and the sign is positive.
Hence, when multiplying and dividing two negative fractions the answer will be always positive.
Learn more:
https://brainly.com/question/15381501
https://brainly.com/question/17639366
(03.05 HC)
The table below represents the velocity of a car as a function of time:
Time
(hour)
x Velocity
(miles/hours)
y
0 50
1 52
2 54
3 56
Part A: What is the y-intercept of the function, and what does this tell you about the car? (4 points) Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) Part C: What would be the domain of the function if the velocity of the car was measured until it reached 60 miles/hour and the car does not change motion? (2 points) (10 points)
1. Chandra recorded her quarterly sales in a bargraph. Chandra will get a bors of $5.000her average quarterly sales for the year reach$70,000. What must her sales be for the fourthquarter in order for Chandra to earn the bonus?A $45,000B. $50,000C. 865,000D.60,000
Given:
Chandra get a bonus if average quarterly sales for an year exceeds $70000.
From the bar diagram, we can find the sales for each quarter.
The height of each bar gives the sales for each quarter.
Since the data in the vertical column is given in thousands of dollars, multiply the height of the bar by 1000 to get the correct sales value.
The sales for the first quarter is $40000.
The sales for the second quarter is $100000.
The sales for the third quarter is $80000.
Let x be the sales for the fourth quarter.
Now, the average of the quarterly sales is,
\(\begin{gathered} A=\frac{Sum\text{ of all quarterly sales}}{\text{Number of quarters}} \\ A=\frac{40000+100000+80000+x}{4} \end{gathered}\)Put A=70000 and solve the equation for x to obtain the sales for the fourth quarter so that Chandra gets bonus.
\(\begin{gathered} 70000=\frac{220000+x}{4} \\ 70000\times4=22000+x \\ 280000-220000=x \\ 60000=x \end{gathered}\)So, the sales of the fourth quarter must be $60000 in order for Chandra to earn the bonus.
Hence, option D is correct.
The number of boxes of food that six volunteers collected for the food drive is given in the table below.
Number of Boxes
32
35
20
16
28
13
What is the mean absolute deviation? Round to the nearest tenth.
Answer:
The mean absolute value is 7.7, when rounded to the nearest tenth.
Step-by-step explanation:
1.) To get the mean absolute deviation you have to find the mean first:
32 + 35 + 20 + 16 + 28 + 13 = 144 ÷ 6 = 242.) Then, you have to find the difference of each element in your data set that is away from the mean. Then, you have to find the absolute values of the answers:
32 - 24 = | 8 | → 835 - 24 = | 11 | → 1120 - 24 = | -4 | → 416 - 24 = | -8 | → 828 - 24 = | 4 | → 413 - 24 = | -11 | → 113.) Then, you have to find the mean of the absolute values:
8 + 11 + 4 + 8 + 4 + 11 = 46 ÷ 6 = 7.6666666666666666666666666666667 = 7.7Answer:
its 7.7
Step-by-step explanation:
i got it right in edg
26. Given: mABD = mFDB; m/1 = m/4
Prove: BC || ED
How would I solve this proof in a two column proof?
Following is the proof of BC||ED using alternate interior angles.
What is the property of alternate interior angles?According to the alternate angle theorem, when a transversal cuts two parallel lines, the resulting alternate interior angles or alternate exterior angles are congruent.
We are given the ∠ABD = ∠FDB
and
∠1 = ∠4
using the above-given conditions we need to prove that line BC is parallel to line BD (i.e. BC || BD)
∠ABD = ∠FDB...................................(i)
∠ABD= ∠1 +∠2
and
∠FDB= ∠3+∠4
now subsituting these values of ∠ABD and ∠FDB in equation(i)
we get,
∠1 +∠2=∠3+∠4
we are also given that ∠1 = ∠4, substituting that,
∠1 +∠2=∠3+∠1
= ∠2=∠3+∠1-∠1
= ∠2=∠3
through the given fig we know,
∠2=∠CBD
and
∠3=∠EDB
i.e.
∠CBD=∠EDB
∠CBD and ∠EDB make alternate interior angles of the lines BC and ED,
and since both the alternate interior angles are equal(∠CBD and ∠EDB) both the lines are parallel (||).
therefore we have BC||ED, hence proved.
To learn more about alternate interior angles visit:
https://brainly.com/question/20344743
#SPJ9
Let x (t) = 5 cos(2π(400)t +0.5π) + 10 cos(2π(500)t – 0.5π). Find the Nyquist rate of x(t).
What is the 14th term -2 -4 -6 - 8 -10
Answer:
-2
-4
-6
-8
-10
-12
-14
-16
-18
-20
-22
-24
-26
14)-28
Hope this helps! :)