Answer:
Triangle
A=21m²
square
A=3m²
total
21-3=18m²
16. Justin is joining a gym. The gym is currently offering a discount on the fee to join and on the monthly rate.
The discounted price,in dollars,the gym charges can be represented by the equation y=10x+5
a. What are the slope and the Y-intercept of the equation? What do the slope and the Y-intercept each represent in this equation?
Answer:
The equation y = 10x + 5 is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
The equation y = 10x + 5 is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.Slope (m) = 10
The equation y = 10x + 5 is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.Slope (m) = 10Y-intercept (b) = 5
The equation y = 10x + 5 is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.Slope (m) = 10Y-intercept (b) = 5The slope represents the rate of change of the monthly rate with respect to the fee to join. For every increase of $1 in the fee to join, the monthly rate increases by $10.
The equation y = 10x + 5 is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.Slope (m) = 10Y-intercept (b) = 5The slope represents the rate of change of the monthly rate with respect to the fee to join. For every increase of $1 in the fee to join, the monthly rate increases by $10.The y-intercept represents the initial cost of joining the gym. It is the amount that the gym charges even if the fee to join is $0. In this case, the gym charges $5 to join.
94,685 written in standard form
Evaluate the following expression. 5^-1/5^0
Answer:
1/5
Step-by-step explanation:
5^-1/5^0
=5^-1/1
=1/5
Kim accidentally leaves the water hose running for half a day the graph represents the loss of water during that time
fifijfjgjgfghj
Step-by-step explanation:
Answer:
We need to see the graph to help you
Step-by-step explanation:
Drag and drop the number to complete the division using the partial quotient method.
PLEAS HELP RIGHT NOW I RRALLY NEED HELP!! TY AND CAN YOU PLEAS DO IT ON A PAPER AND SEND PIC IF THATS OK?
Answer:
instead of the 4, you can put the 80 and do the 20x4?
Step-by-step explanation:
i dont know if you can do that for whatever ur doing, just a suggestion
I lost my train of thought, but i was thinking of something like that
For what value of x is the figure a rhombus?
The value of x is -4.
We have,
(3x + 25) and (6x - 2) makes one angle.
So,
(9x + 23) is the angle.
Now,
It is bisected in two angles.
So,
9x + 23 = 1/2 x (6x - 2)
9x + 23 = 3x - 1
9x - 3x = -1 - 23
6x = -24
x = -4
Thus,
The value of x is -4.
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Let X and Y be independent, continuous random variables, each with an even density function. Show that if n is odd, then E(X+Y)^n=0.
If X and Y are independent, continuous random variables, each with an even density function, and n is odd, then E(X+Y)^n=0.
Since X and Y are independent, the joint probability density function is simply the product of the individual density functions, i.e., f(x,y) = f(x) * f(y).
Now, consider the random variable Z = X + Y. The moment-generating function of Z is given by:
M(t) = E(e^(tZ)) = E(e^(t(X+Y))) = E(e^(tX) * e^(tY))
Since X and Y are independent, we can write:
M(t) = E(e^(tX)) * E(e^(tY))
Since both X and Y have even density functions, their moment-generating functions are symmetric about t=0, i.e., M_X(-t) = M_X(t) and M_Y(-t) = M_Y(t). Therefore, we have:
M(t) = M_X(t) * M_Y(t) = M_X(-t) * M_Y(-t) = M(-t)
Thus, the moment-generating function of Z is symmetric about t=0.
Now, since n is odd, (X+Y)^n will be an odd function, and so its moment-generating function will be zero at t=0. Therefore, we have:
E((X+Y)^n) = M^(n)(0) = 0
Therefore, we have shown that if X and Y are independent, continuous random variables, each with an even density function, and n is odd, then E(X+Y)^n=0
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Example # 2: Based on the information from the U.S. Census Bureau, the mean travel
time to work in minutes for all workers 16 years old and older was 25.3 minutes. A large
company with offices in several states randomly sampled 97 of its workers to ascertain
their commuting times. The sample mean was 18.6 minutes, and the population
standard deviation is 5.39 minutes. At the 0.01 level of significance can it be concluded
that the mean commuting time is less for this particular company?
Step 1: write the null and the alternative hypothesis and identify the claim
Step 2: find the critical value(s)
Step 3: find the test value
Step 4: make the decision
Step 5: summarize the result
Within the confidence interval the value of z= -2.1909.
What is a confidence interval?The confidence interval is the range of values that you expect your estimate to fall between a certain percentage of the time if you run your experiment again or re-sample the population in the same way.
Given that, the mean travel time to work in minutes for all workers 16 years old and older was 25.3 minutes.
0.01 level of significance z = 2.576
80% z = 1.28155
90% z =1.645
92% z = 1.751
95% z = 1.96
98% z = 2.326
99% z = 2.576
So, z = (23.9-25.3)/.639 = -2.1909, within the confidence interval
Therefore, the value of z is -2.1909.
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what is the mean and standard deviation (in dollars) of the amount she spends on breakfast weekly (7 days)? (round your standard deviation to the nearest cent.)
The mean amount spent on breakfast weekly is approximately $11.14, and the standard deviation is approximately $2.23.
To calculate the mean and standard deviation of the amount she spends on breakfast weekly (7 days), we need the individual daily expenditures data. Let's assume we have the following daily expenditure values in dollars: $10, $12, $15, $8, $9, $11, and $13.
To find the mean, we sum up all the daily expenditures and divide by the number of days:
Mean = (10 + 12 + 15 + 8 + 9 + 11 + 13) / 7 = 78 / 7 ≈ $11.14
The mean represents the average amount spent on breakfast per day.
To calculate the standard deviation, we need to follow these steps:
1. Calculate the difference between each daily expenditure and the mean.
Differences: (-1.14, 0.86, 3.86, -3.14, -2.14, -0.14, 1.86)
2. Square each difference: (1.2996, 0.7396, 14.8996, 9.8596, 4.5796, 0.0196, 3.4596)
3. Calculate the sum of the squared differences: 34.8572
4. Divide the sum by the number of days (7): 34.8572 / 7 ≈ 4.98
5. Take the square root of the result to find the standard deviation: \(\sqrt{(4.98) }\)≈ $2.23 (rounded to the nearest cent)
The standard deviation measures the average amount of variation or dispersion from the mean. In this case, it tells us how much the daily expenditures on breakfast vary from the mean expenditure.
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GH has a midpoint at M(5,5). Point His at (3,9). Find the coordinates of point G
If gh has a midpoint at (5,5) with point H at (3,9), then the coordinate of point G is at (7, 1)
The formula for calculating the midpoint of GH is expressed as:
\(M(X, Y) = \frac{x_1+x_2}{2} , \frac{y_1+y_2}{2}\)
Get the coordinate x1
X = x1+x2/2
5 = 3 + x2/2
5×2 = 3 + x2
10 = 3 + x2
x2 = 10-3
x2 = 7
Get the coordinate y2
Y = y1+y2/2
5 = 9 + y2/2
5×2 = 9 + y2
10 = 9 + y2
y2 = 10-9
y2 = 1
Hence the coordinate of point G is at (7, 1)
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2. Jamie bought a computer for $856.35 including tex He received an interest-free loan for the exact poor of the computer. If Jamie pay off the entire amount of the loan in 15 equal monthly payments, how much will he have to pay each month
Answer:
57.09
Step-by-step explanation:
856.35/15. total amount divided by number of payments
5x
2x
7x
4x
Equation
X=
Answer:
look this for the solution
11. Find the first and third quartile for the set of data below.
14, 17, 21, 23, 17, 16, 15, 18, 14, 20, 19
Q₁ = 15, Q3 = 19
Q₁ = 15, Q3 = 20
Q₁ = 17, Q3 = 20
Q_1 = 15, Q3 = 17
The first quartile (Q₁) is 16.5 and the third quartile (Q₃) is 19.5.
To find the first quartile (Q₁) and the third quartile (Q₃) for the given set of data:
14, 17, 21, 23, 17, 16, 15, 18, 14, 20, 19
First, let's sort the data in ascending order:
14, 14, 15, 16, 17, 17, 18, 19, 20, 21, 23
To find Q₁, we need to locate the median of the lower half of the data set.
Q₁ = (16 + 17) / 2 = 33 / 2 = 16.5
Again, since there are 11 data points, the median is the average of the values at positions 6 and 7:
Q₃ = (19 + 20) / 2 = 39 / 2 = 19.5
Therefore, the first quartile (Q₁) is 16.5 and the third quartile (Q₃) is 19.5.
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Given right triangle abcabc with altitude \overline{bd} bd drawn to hypotenuse \overline{ac} ac. If ac=16ac=16 and dc=4,dc=4, what is the length of \overline{bc}? bc ?.
The length of bc is 8. The result is obtained by using the concept of conditions for similar triangles.
How are the conditions for similar triangles?For two or more similar triangles, it has two conditions.
Corresponding angles of the triangles are equal.Corresponding sides of the triangles are in proportion to each other.A right triangle abc with altitude bd drawn to hypotenuse ac has the length of sides as follow
ac = 16dc = 4Find the length of bc!
Observe the picture of triangles in the attachment! If we drawn a perpendicular line to the hypotenuse, we'll have three similar triangles.
The corresponding sides of the two triangles are
\(\frac{\overline{ac}}{\overline{bc}} = \frac{\overline{bc}}{\overline{dc}} = \frac{\overline{ab}}{\overline{bd}}\)
The length of bc is
\(({\overline{bc})^{2} = \overline{ac} \times {\overline{dc}\)
\(({\overline{bc})^{2} = 16 \times 4\)
\(({\overline{bc})^{2} = 64\)
\({\overline{bc} = \sqrt{64}\)
\({\overline{bc} = 8\)
Hence, the length side of bc on the right triangle is 8.
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if you randomly select a mechanical component, what is the probability that it weighs more than 11.5lbf
The probability that randomly selected mechanical component weighs: more than 11.5 lbf is 0.0099, less than 8.7 lbf is 0.3208, less than 5.0 lbf is 0.0228, between 6.2 lbf and 7.0 lbf is 0.1314, between 10.3 lbf and 14.0 lbf is 0.0436, between 6.8 lbf and 8.9 lbf is 0.3464.
We can use the standard normal distribution and z-scores to answer these questions:
P(X > 11.5) = P(Z > (11.5 - 8) / 1.5) = P(Z > 2.33) = 0.0099
Therefore, the probability that a randomly selected mechanical component weighs more than 11.5 lbf is 0.0099, or about 1%.
P(X < 8.7) = P(Z < (8.7 - 8) / 1.5) = P(Z < 0.47) = 0.3208
Therefore, the probability that a randomly selected mechanical component weighs less than 8.7 lbf is 0.3208, or about 32%.
P(X < 5.0) = P(Z < (5 - 8) / 1.5) = P(Z < -2) = 0.0228
Therefore, the probability that a randomly selected mechanical component weighs less than 5.0 lbf is 0.0228, or about 2%.
P(6.2 < X < 7.0) = P((6.2 - 8) / 1.5 < Z < (7 - 8) / 1.5) = P(-1.2 < Z < -0.67) = 0.1314
Therefore, the probability that a randomly selected mechanical component weighs between 6.2 lbf and 7.0 lbf is 0.1314, or about 13%.
P(10.3 < X < 14.0) = P((10.3 - 8) / 1.5 < Z < (14 - 8) / 1.5) = P(1.53 < Z < 2.67) = 0.0436
Therefore, the probability that a randomly selected mechanical component weighs between 10.3 lbf and 14.0 lbf is 0.0436, or about 4%.
P(6.8 < X < 8.9) = P((6.8 - 8) / 1.5 < Z < (8.9 - 8) / 1.5) = P(-0.47 < Z < 0.60) = 0.3464
Therefore, the probability that a randomly selected mechanical component weighs between 6.8 lbf and 8.9 lbf is 0.3464, or about 35%.
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____The given question is incomplete, the complete question is given below:
Suppose that the weight of a mechanical component is normally distributed with mean p = 8.0 Ibf and standard deviation = 1.5 lbf. Answer the following questions: 1. If you randomly select a mechanical component, what is the probability that it weighs more than 11.5 lbf? 2. If you randomly select a mechanical component, what is the probability that it weighs less than 8.7 lbf? 3. If you randomly select a mechanical component, what is the probability that it weighs less than 5.0 lbf? 5. If you randomly select a mechanical component, what is the probability that it weighs between 6.2 lbf and 7.0 lbf? 6. If you randomly select a mechanical component, what is the probability that it weighs between 10.3 lbf and 14.0 lbf? 7. If you randomly select a mechanical component, what is the probability that it weighs between 6.8 lbf and 8.9 lbf?
Divide 2/7 by 1.5.what’s the answer?
We are to divide 2/7 by 1.5.
The mathematical expression is,
\(\frac{2}{7}\div1.5\)First of all, let us convert 1.5 to a fraction
\(\begin{gathered} 1.5=\frac{15}{10}=\frac{3}{2} \\ \therefore1.5=\frac{3}{2} \end{gathered}\)Let us now divide and simplify
\(\frac{2}{7}\div\frac{3}{2}\)Apply the fraction rule:
\(\begin{gathered} \frac{a}{b}\div\frac{c}{d}=\frac{a}{b}\times\frac{d}{c} \\ \therefore\frac{2}{7}\div\frac{3}{2}=\frac{2}{7}\times\frac{2}{3} \end{gathered}\)Multiply fractions:
\(\begin{gathered} \frac{a}{b}\times\frac{c}{d}=\frac{a\:\times\:c}{b\:\times\:d} \\ \therefore\frac{2}{7}\times\frac{2}{3}=\frac{2\times\:2}{7\times\:3} \end{gathered}\)Multiply the numbers
\(\frac{2\times\: 2}{7\times\: 3}=\frac{4}{21}\)Hence, the answer is
\(\frac{4}{21}\)Wonderpillow is the trading name used by Alan. The business has long-term liabilities of £100 000, non-current assets of £289 770 and current assets of £124 400. The total of
current liabilities less current assets is £3 340. What is the total for equity?
• a. £186 430
• b. £193 110
• c. £293 110
• d. £286 430
The total equity for Wonderpillow is £193,110.
Equity represents the residual interest in the assets of a business after deducting liabilities. To calculate the total equity, we need to subtract the total liabilities from the total assets.
Given:
Long-term liabilities = £100,000
Non-current assets = £289,770
Current assets = £124,400
Current liabilities - current assets = £3,340
First, we calculate the total liabilities:
Total liabilities = Long-term liabilities + (Current liabilities - current assets)
Total liabilities = £100,000 + (£3,340)
Total liabilities = £103,340
Next, we calculate the total equity:
Total equity = Total assets - Total liabilities
Total equity = Non-current assets + Current assets - Total liabilities
Total equity = £289,770 + £124,400 - £103,340
Total equity = £310,830 - £103,340
Total equity = £207,490
Therefore, the correct answer is not listed among the options provided. The total equity for Wonderpillow is £207,490, which is not included in the given choices
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Graph the line that represents a proportional relationship between ddd and ttt with the property that an increase of 555 units in ttt corresponds to an increase of 222 units in ddd. What is the unit rate of change of ddd with respect to ttt
a) The unit rate of change of d with respect to t is equal to 1.6
b) the graph of the line in the attached figure.
Given: A proportionate relationship between d and t with the characteristic that a rise in t of 5 units causes a rise in d of 8 units.
To locate: A rise of 5 units in t causes a rise of 8 units in d, according to the line's unit rate of change with respect to t.
=> Slope = Δd/Δt = 8/5 = 1.6
the proportional relationship between d and t
=> d ∝ t
=> d = 1.6t
t d=1.6t
0 0
1 1.6
2 3.2
3 4.8
Plot the points and draw a line passing through points.
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A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 what is the sample mean?
The sample mean of the weights at the birth of the randomly chosen infants is 7.6 pounds.
Given: The sample of seven infants was selected randomly and the weights are: {9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6} (in pounds)
What is a sample?
A sample can be defined as a part of something big or a whole. It can be some of the elements from a given set of elements.
For example: Let us consider the set of natural numbers. The set of natural numbers has an infinite number of elements in it. We choose some numbers from the set, say {2, 7, 9, 10, 99, 200, 234}. These chosen numbers are known as samples from the set of natural numbers.
What is the sample mean?
The sample mean is the average value of the samples or it is the mean of all the elements which exist in the given sample.
The sample mean is denoted by x⁻ which is pronounced as x bar.
The formula to calculate sample mean (x⁻) is:
Sample Mean (x⁻) = Summation of all the elements in the sample / Total number of elements in the sample.
x⁻ = ∑xₙ / n
where,
∑xₙ = Summation of all the elements in the sample
n = Total number of elements in the sample
x⁻ = Sample mean
Now let's solve the given question:
The given sample is {9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6}
The summation of the elements in the sample is:
∑xₙ = 9.0 + 7.3 + 6.0 + 8.8 + 6.8 + 8.4 + 6.6
∑xₙ = 52.9
The total number of elements in the sample is:
n = 7
Therefore, the sample mean (x⁻) is:
x⁻ = ∑xₙ / n
x⁻ = 52.9 / 7
x⁻ = 7.5571 ≈ 7.6
Hence the sample mean of the weights at the birth of the randomly chosen infants is 7.6 pounds.
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Disclaimer: The question is incomplete. The complete question is mentioned below:
Question: A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. What is the sample mean?
PICK A PRODUCT OF YOUR DREAM XX. State the Vision & Mission
statement. xx undertake research work on the dream product .(
assessment, feasibility & viability) xx. Discuss its production
and su
The chosen dream product is a solar-powered smart home automation system. The Vision & Mission statement is to create an environmentally sustainable and technologically advanced solution that enhances comfort, convenience, and energy efficiency in households. The production and successful implementation of this product require thorough research to assess its feasibility and viability, considering factors such as technological capabilities, market demand, and economic sustainability.
The Vision of the solar-powered smart home automation system is to revolutionize the way households interact with their living spaces by providing an environmentally sustainable solution. The Mission is to develop a state-of-the-art system that seamlessly integrates solar power generation, smart devices, and automation technologies to enhance comfort, convenience, and energy efficiency. This product aims to empower homeowners to reduce their carbon footprint while enjoying the benefits of a modern and connected lifestyle.
To undertake research work on the dream product, a comprehensive assessment is required. This involves evaluating the feasibility of integrating solar power generation with home automation technologies. Factors such as the availability of solar resources, technological advancements in energy storage, and the compatibility of smart devices with automation systems need to be investigated. Additionally, a market analysis is crucial to understand the demand for such a product, potential competition, and pricing considerations.
The research work also involves assessing the viability of the product from an economic perspective. This includes analyzing production costs, potential revenue streams, return on investment, and long-term sustainability. Careful consideration must be given to manufacturing processes, supply chain management, and scalability to ensure successful production and distribution of the product.
Overall, the development and successful implementation of a solar-powered smart home automation system require extensive research to assess its technical feasibility, market demand, and economic viability. By conducting a thorough assessment, the dream product can be evaluated effectively, paving the way for its production and subsequent success in the market.
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I need help with my working
Answer:
15^2 = 225
7^3 = 343
Step-by-step explanation:
A new car is purchased for 24300 dollars. The value of the car depreciates at 15% per year. To the nearest year, how long will it be until the value of the car is 5600 dollars?
Answer:
9 years
Step-by-step explanation:
Losing 15 % means 85% remains
so multiply each year's value by .85 to find the current value
after 'n' years it will be 24300 * .85^n
when will it be 5600 ?
5600 = 24300 * .85^n
5600/24300 = .85^n
now you need to take the log of both sides and solve for 'n' years
log ( 5600/24300) / log(.85) = n = 9.031 = ~~ 9 years
Which of these tables represents a function
W
a system can only be a function if there are no more than one value of y for each value of x. if a value of x is repeated twice or more in a table, it means it is not a function.
Find the slope of the line that contains the following pair of points (1 ,6) (9, -4)
Answer:
-5/4
Step-by-step explanation:
use the formula rise/run
Find the value of x (pls helppp)
Answer:
x = 8°
Step-by-step explanation:
40 + 6x + 2 = 90°
6x + 42 = 90°
6x = 48°
x = 8°
If my answer is incorrect, pls correct me!
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(1 point) Determine whether the lines \[ L_{1}: x=10+3 t, \quad y=18+5 t, \quad z=9+2 t \] and \[ L_{2}: x=-7+4 t \quad y=-11+7 t \quad z=-7+5 t \] intersect, are skew, or are parallel. If they inters
The lines do not intersect, and they are not skew (since skew lines cannot be parallel).
To determine whether the lines intersect, are skew, or are parallel, we need to find out if there is a point that lies on both lines. If such a point exists, then the lines intersect. If not, then we need to check whether the lines are parallel or skew.
To find out if there is a point that lies on both lines, we need to solve the system of three equations that results from equating the corresponding components of the two lines:
\(= > 10+3 t &= -7+4 s \ 18+5 t &\\= > -11+7 s \ 9+2 t &= -7+5 s\)
We can rewrite this system in matrix form as:
\($$\begin{pmatrix}3 & -4 \\\ 5 & -7\\ \ 2 & -5\end{pmatrix}\begin{pmatrix}t \ s\end{pmatrix}=\begin{pmatrix}-17 \ 7 \ 16\end{pmatrix}$$\)
We can solve this system by row-reducing the augmented matrix:
\($$\left(\begin{array}{cc|c} 3 & -4 & -17\\ \ 5 & -7 & 7\\ \ 2 & -5 & 16 \end{array}\right)$$\)
Using elementary row operations, we can transform this matrix into the row-reduced echelon form:
\($$\left(\begin{array}{cc|c} 1 & -2 & 5 \\\ 0 & 1 & 2 \\\ 0 & 0 & 0 \end{array}\right)$$\)
This system has infinitely many solutions, which means that the lines are parallel. Therefore, the lines do not intersect, and they are not skew (since skew lines cannot be parallel).
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What is the population variance of the following set of numbers: 3, 5, 8, 9, 10? 29 6.8 7 8.5?
The population variance of the following set of numbers: 3, 5, 8, 9, 10 is 6.8
For given question,
We need to find the population variance of the following set of numbers: 3, 5, 8, 9, 10
The formula for the Population variance is,
\(\sigma = \frac{\sum (x-\bar x)^2}{N}\)
Here,
\(\bar x\) = sample average
x = individual values in sample
N = count of values in the sample.
For given question,
\(\bar x=\frac{3+ 5+ 8+ 9+ 10}{5} \\\\\bar x=7\)
Using the formula for variance,
\(\sigma = \frac{1}{5} [(3-7)^2 + (5 - 7)^2 + (8 - 7)^2 + (9 - 7)^2 + (10 - 7)^2]\\\\\sigma = \frac{1}{5} \times 34\\\\\sigma = 6.8\)
Therefore, the population variance of the following set of numbers: 3, 5, 8, 9, 10 is 6.8
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What is the value of x in the equation 8x-2y = 48, when y= 4?
O6
O7
O 14
O 48
What is the maximum resultant intensity in terms of the intensity of the initial unpolarized incoming light i_0i 0 ?
The maximum resultant intensity in terms of the intensity of the initial unpolarized incoming light I₀ is given as -
When unpolarized light is polarized with 2 polarizers, this same intensity I = I₀cos2(Ф) (Malus' law) is obtained. When unpolarized light is polarized with just one polarizer, its intensity is reduced to half that of unpolarized light.What is polarization?Polarization is the property of wave oscillations having a definite direction relative to the wave's propagation direction. Transverse waves that can be polarized are EM waves. The polarization direction is defined as the direction parallel to the EM wave's electric field.
The effect of a polariser on polarised light is described by Malus' law, which states that-
One starts with unpolarized light.The first polariser suppresses the unaligned component of the unpolarised light and produces polarised light (at half the intensity of the input). In your notation, the intensity of this polarised output is I₀.The second polariser lets through a fraction (cos)²Ф of the polarised output from the first polariser, where is the angle between the polarisers' axes. So, once again,I₀ is the intensity of the polarised input to the second polariser, not the intensity of the unpolarised input to the two-polariser system. The output intensity is limited by this provision; I = I₀cos2(Ф)To know more about the polarization, here
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The correct question is -
What is the maximum resultant intensity in terms of the intensity of the initial unpolarized incoming light I₀.
What is the equation of a line, in general form, with a slope of -2 and a y-intercept of 8?
2 x + y - 8 = 0
x + 2 y - 8 = 0
2 x - y + 8 = 0
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