Answer:
200
Step-by-step explanation:
25% of x = 50
25/100 × x = 50
x = 50 × 100/25
x = 50 × 4
= 200.
25% of 200 = 50
Answer:
50 is 25% of 200
Step-by-step explanation:
We have, 25% × x = 50
or, \(\frac{25}{100}\) × x = 50
Multiplying both sides by 100 and dividing both sides by 25,
we have x =50 × \(\frac{100}{25}\)
x = 200
If you are using a calculator, simply enter 50×100÷25, which will give you the answer.
WHY AM I IN HIGH SCHOOL!!! IM FRICKING 5TH GRADE
Answer:
good for u dude...............
Answer:
F
Step-by-step explanation:
I really need help with part a and b, please help. Incorrect answers will be downvoted, correct answers will be upvoted. 1. The army is interested in characterizing the acoustic signature of a helicopter. The following data show measurements of acoustic pressure (made dimensionless) for a two-bladed helicopter rotor through of a rotor revolution. The data points are equally spaced in time, and the period of the data collection is of a second. p=00.00040.0015 0.0028 0.0040 0.0048 0.0057 0.0071 0.0095 0.0134 0.0185 0.02420.0302 0.0364 0.0447 0.0577 0.0776 0.0955 0.0907 -0.0477 -0.0812 -0.0563 -0.0329 -0.0127 0.0032 0.0147 0.0221 0.0256 0.0255 0.0222 0.0170 0.0112 0.0064 0.0035 0.0023 0.0020 0.0019 0.0016 0.0009 0.0002 a) Find the real discrete Fourier transform for this data set. (b) Any term in the Fourier series can be written: ak Cos(kwt)+bk sin(kwt) =ck Cos(kwt+$k) ak Find the ck's and plot their amplitude on a bar graph vs. k to illustrate the relative size of each term in the series. Explain the significance of the plot
(a) The real discrete Fourier transform (DFT) is calculated for the given data set to analyze the helicopter's acoustic signature.
(b) To obtain the ck values and illustrate the relative size of each term in the Fourier series, we calculate the magnitude of each coefficient and plot their amplitudes on a bar graph against the corresponding frequency component, k.
To analyze the helicopter's acoustic signature, the real DFT is computed for the provided data set. The DFT transforms the time-domain measurements of acoustic pressure into the frequency domain, revealing the different frequencies present and their corresponding amplitudes. This analysis helps in understanding the spectral characteristics of the helicopter's acoustic signature and identifying prominent frequency components.
Using the Fourier series representation, the amplitudes (ck's) of the different frequency components in the Fourier series are determined. These amplitudes represent the relative sizes of each term in the series, indicating the contribution of each frequency component to the overall acoustic signature. By plotting the amplitudes on a bar graph, the relative strengths of different frequency components become visually apparent, enabling a clear comparison of their importance in characterizing the helicopter's acoustic signature.
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Find the approximate side length of a square game board with an area of 105 square inches
Answer:
I just did gor the points
Step-by-step explanation:
sorry
A person accepts a position with a company at a salary of \( \$ 34,000 \) for the frat year, The person is guaranteed a raise of \( \$ 1850 \) per year for the first 6 years. Determine the person's to
The person's total salary over the first 6 years is $231,750.
To determine the person's total salary over the first 6 years, we need to calculate the sum of the salary for each year.
Given information:
- Initial salary: $34,000
- Annual raise: $1,850
- Number of years: 6
To calculate the total salary, we can use the arithmetic progression formula:
[ S = frac{n}{2} left(2a + (n - 1)dright) ]
Where:
- ( S ) is the sum of the salaries
- ( n ) is the number of terms (years)
- ( a ) is the first term (initial salary)
- ( d ) is the common difference (annual raise)
Substituting the given values, we have:
[ S = frac{6}{2} left(2(34000) + (6 - 1)(1850)right) ]
Simplifying the expression:
[ S = 3 left( 68000 + 5 times 1850 right) ]
[ S = 3 left( 68000 + 9250 right) ]
[ S = 3 times 77250 ]
[ S = 231750 ]
Therefore, the person's total salary over the first 6 years is $231,750.
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HELP ASAP WILL MARK AS BRAINLIST IF YOU SOLVE 2 OF THESE QUESTIONS
1. What base 10 number does 257 eight represent
2. A new operation, #, is defined this way: m#n=m^2-mn. Find the value of 7#(3#2).
Answer:
1. 175
2. 28
Step-by-step explanation:
If you're converting from another base, just multiply each digit, then add up the numbers:
ones digit × 8^0,
tens digit × 8^1
hundreds × 8^2
see image.
The second problem gives you a new operation. Follow the rule by squaring the first number and taking away the first×second. Do the parenthesis first!
see image.
Solve for x. 2^x-1 = 31, give your rounded answer to four decimal places.
The value of x for the given equation is 5.
What is Equation?An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value. The most basic and common algebraic equations in math consist of one or more variables.
Here, as per the given Equation
\(2^x-1 = 31\)
\(2^x = 31 + 1\)
\(2^x = 32\)
\(2^x = 2^5\)
On comparing both sides, we get
x = 5
Thus, the value of x for the given equation is 5.
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Identify the arc length of AD◠ in terms of π.
HELP PLZZ!! I'M CONFUSED!!
Answer:
≈ 3.91π in.
Step-by-step explanation:
IT is given that ∠APC = 92 and PB = 8 in. The arc length of AD is ≈ 3.67π in.
What is Arc length?Arc length is defined as the distance between two points along a section of a curve.
IT is given that
∠APC = 92 and PB = 8 in
As ∠APC and ∠APD are formed in linear pairs.
So,
∠APC + ∠APD = 180∘
∠APD = 180 - ∠APC
∠APD = 180∘ − 92∘
∠APD = 88∘
Now, the length of the arc will be,
= Ф/360 2πr
= 88/360 x 2 x π x 8
=88/360 x 16π
=352/90 x π
≈ 3.91π in.
Hence, the arc length of AD is ≈ 3.91π in.
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The line passing through the points (-2: 1) and (1: 4) has the same angular coefficient as the line passing through the points (1-2) and (3: p) Find the value of p
Answer:
Explanation:
The angular coefficient is also referred to as the slope of the line.
Given that the slope of the lining joining these pair of points are the same:
• (-2, 1) and (1, 4)
,• (1, -2) and (3, p)
Then:
\(\frac{4-1}{1-(-2)}=\frac{p-(-2)}{3-1}\)We solve the equation for p:
\(undefined\)if iq scores are normally distributed with a mean of 100 and a standard deviation of 15, what proportion of people have iq scores between 80 and 125?
P(80 < X < 125) = 0.9525 - 0.0918
P(80 < X < 125) = 0.8607
This means that approximately 86.07% of people have IQ scores between 80 and 125.
To answer this question, we need to calculate the standardized score (also known as z-score) for both 80 and 125:
z-score for 80: (80-100)/15 = -1.33
z-score for 125: (125-100)/15 = 1.67
Once we have the z-scores, we can use a standard normal distribution table or calculator to find the proportion of scores between them. Alternatively, we can use the following formula:
P(80 < X < 125) = P(Z < 1.67) - P(Z < -1.33)
Using a standard normal distribution table or calculator, we can find that P(Z < 1.67) is approximately 0.9525 and P(Z < -1.33) is approximately 0.0918.
Therefore:
P(80 < X < 125) = 0.9525 - 0.0918
P(80 < X < 125) = 0.8607
This means that approximately 86.07% of people have IQ scores between 80 and 125.
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Help plz!!!!!!!!!!!!!!
In a hypothesis test for population proportion, you calculated the p-value is 0.01 for the test statistic, which is a correct statement of the p-value?
Group of answer choices
a)The p-value indicates that it is very rare to observe a test statistics equally or more extreme when the null hypothesis is true.
b)The p-value indicates that it is very likely to observe a test statistics equally or more extreme when the null hypothesis is true.
c)The p-value is calculated assuming the alternative is true.
The p-value is 0.01, which means that it is very rare to observe a test statistic that is equal to or more extreme than the one that was actually observed. SO the option a is correct.
In the given question, in a hypothesis test for population proportion, we calculated the p-value is 0.01 for the test statistic, we have to find which statement of the p-value is correct.
The p-value is the probability of obtaining results as extreme as, or more extreme than, the observed results of a statistical hypothesis test, assuming that the null hypothesis is true. A small p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.
A large p-value (> 0.05) indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.
If the null hypothesis is correct, the p-value is the likelihood that a test statistic will be equal to or more extreme than the one that was actually observed. Given that the null hypothesis is correct in this situation, the p-value of 0.01 indicates that it is extremely unusual to see a test statistic as dramatic as the one that was actually seen. This shows that the alternative hypothesis is more likely to be correct and that the null hypothesis is probably not true.
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Is (–39, 42) a solution to the equation y = x + 81?
Answer:
Yes
Step-by-step explanation:
Yes because if you insert -39 for x and 42 for y then your equation is:
42 = -39 + 81
If you were to solve this equation it would be true.
Plot the points in a coordinate plane and sketch ∠ XYZ. Then classify it as right, acute, or obtuse.
X(5,-3), Y(4,-1), Z(6,-2)
The points X(5,-3), Y(4,-1) and Z(6,-2) can be plotted as given below. From the obtained graph ∠XYZ is the obtuse angle.
The given coordinates are X(5,-3), Y(4,-1) and Z(6,-2).
We need to classify ∠XYZ whether it is right, acute, or obtuse.
How to plot the points in a cartesian plane?A cartesian plane or coordinate plane can be defined as a plane formed by the intersection of two coordinate axes that are perpendicular to each other. The horizontal axis is called the x-axis and the vertical one is the y-axis. These axes intersect with each other at the origin whose location is given as (0, 0). Any point on the cartesian plane is represented in the form of (x, y). Here, x is the distance of the point from the y-axis and y is the distance from the x-axis.
Now, X(5,-3), Y(4,-1) and Z(6,-2) can be plotted as given below:
The given points X(5,-3), Y(4,-1) and Z(6,-2) have positive x-coordinate and negative y-coordinate.
In the cartesian plane, the fourth quadrant positive x-coordinate and negative y-coordinate.
So, all points X(5,-3), Y(4,-1) and Z(6,-2) lie in the fourth quadrant.
From the graph, we can see that the two lines make an obtuse angle, which is more than 180° and less than 360°.
From the obtained graph ∠XYZ is the obtuse angle.
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Find the common ratio of the geometric sequence 14, 42, 126,
Answer:
3
Step-by-step explanation:
The fifth grade has 152 students. Each student has 18
pencils. About how many pencils do the students have altogether?
There are total of 152 students in 5th grade, then the number of pencils altogether will be equal to 2,736 pencils.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
Total number of students in 5th grade = 152
Amount of pencil each student have = 18
Then, the total number of pencils altogether,
= 152 × 18
= 2,736 pencils.
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1) how do i put these in order (least to greatest)
-1/5, 0.25, -1.5, -1 1/4
2 ) how do i put these in order (least to greatest)
-0.76, -3/4, 7/10, 1.7
Answer:
-1.5,-1 1/4, -1/5, 0.25
-.76,-3/4,7/10, 1.7
In the picture below, which lines are lines of symmetry for the figure?
Find the area of each sector. Round your answer to the nearest tenth
Answer:
\(398.2 {km}^{2} \)
Step-by-step explanation:
\( \frac{270}{360} \times \pi {r}^{2} \\ \frac{270}{360} \times \pi \times {13}^{2} \\ \frac{270}{360} \times \pi \times 169 \\ 398.2 {km}^{2} \)
Hope this helps you
Can I have the brainliest please?
Have a nice day!
Assuming that k is a nonnegative integer and m = 2k, what value is returned as a result of the call mystery (m) ?
The result of the recursive function mystery (m) is k.
How to analyze a recursive algorithm
In computer science, functions are collections of code that can be used and re-utilised in greater codes. Functions are formed by inputs, a procedure and an output.
In this question we must analyze a recursive function, recursive functions are functions that creates a loop with the function itself, that is, the function uses itself as an output, until desired output is done.
After performing desktop testing, we conclude that the result of the recursive function mystery (m) is k. \(\blacksquare\)
RemarkThis is a Computer Science problem, whose complete statement is described below:
Consider the following recursive method:
public static int mystery (int n)
{
if (n <= 1)
{
return 0;
}
else
{
return 1 + mystery(n/2);
}
}
Assuming that k is a nonnegative integer and m = 2ⁿ, what value is returned as a result of the call mystery (m)?
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The result of the recursive function mystery (m) is k.
How to analyze a recursive algorithm?In computer science, functions are collections of code that can be used and re-utilized in greater codes. Functions are formed by inputs, a procedure, and an output.
In this question we must analyze a recursive function, recursive functions are functions that create a loop with the function itself, that is, the function uses itself as an output until the desired output is done.
After performing desktop testing, we conclude that the result of the recursive function mystery (m) is k.
Consider the following recursive method:
public static int mystery (int n)
{
if (n <= 1)
{
return 0;
}
else
{
return 1 + mystery(n/2);
}
}
Hence, the result of the recursive function mystery (m) is k.
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A store buys 8 sweaters for $64 and sells them for $272. How much profit does the store make per sweater?
Answer: Profit: $240
Step-by-step explanation:
In order to find the profit you need to multiply $64 by 8 sweaters. After you multiply $64 by 8 sweaters, you get your answer as $512. Finally, you subtract $512 by $272 and get your final answer as $240.
A company rents out 15 food booths and 25 game booths at the county fair. The fee for a food booth is $100 plus $3 per day. The fee for a game both is $50 plus $5 per day. The fair lasts for n days, and all the booths are rented for the entire time. Enter and simplify an expression for the amount in dollars that the company is paid.
Answer:
2,750+170d
Step-by-step explanation:
Calculation to Enter and simplify an expression for the amount in dollars that the company is paid
First step
Let d represent numbers of day
15(100+3d)
Second step is the Expression for the food booths
25(50+5d)
Third step is Expression for the game booths
15(100+3d)+25(50+5d)
Fourth step is the Expression for both game and food booths
15*100+15*3d+25*50+25*5d
=1,500+45d+1,250+125d
Fifth step is to make use of distributive Property
1,500+1,250+45d+125d
Last step is to make use of cumulative property
(1,500+1,250)+(45d+125d)
=2,750+170d (combine like terms)
Therefore expression for the amount in dollars that the company is paid is 2,750+170d
Exercise 18
what's 0.4 ÷ 4 =
Answer:
0.1
Step-by-step explanation:
Answer:
0.4 ÷ 4 = 0.1
Explanation:
Christina goes to the market with $50.00. She buys four papayas at $2.75 each and spends the rest of the money on bananas. Each banana cost $1.18. Write an inequality for the number of bananas she can purchase.
Answer:33
Step-by-step explanation:
$50.00-(4. $2.75) = $50.00 - $11.00= $39.00
$39.00 / $1.18 =33
Answer:
33
Step-by-step explanation:
$50.00-(4. $2.75) = $50.00 - $11.00= $39.00
$39.00 / $1.18 =33
for a population with a standard deviation of σ = 6, what is the z-score corresponding to a score that is 12 points above the mean?
The z-score corresponding to a score that is 12 points above the mean is 2.
The z-score is a numerical measurement used in statistics to determine the sample data value's relationship to the mean of a group of values, measured in terms of standard deviation from the mean. It is measured as the difference of the sample data value and the sample mean over the standard deviation, such that
z-score = (x – μ) / σ
where x = sample data value
μ = mean
σ = standard deviation
If the sample score is 12 points above the mean, then (x – μ) = 12.
(x – μ) = 12
σ = 6
Substitute the values to the z-score formula.
z-score = (x – μ) / σ
z-score = 12/6
z-score = 2
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Fill in each box below with an integer or a reduced fraction. (a) log₂ 16: = 4 can be written in the form 24 = B where A = and B = (b) log, 125 = 3 can be written in the form 5C = D where C = and D= =
4, 16, 3 and 125 are the measures of the values A, B, C and D respectively.
Indices and logarithmIf we have the logarithm expression below:
\(log_ab=c\)
This can be transformed to indices form to have:
\(b=a^c\)
Applying the rule above to the given question, we will have:
log₂ 16 = 4
2⁴ = 16
This shows that A = 4, B = 16
Similarly:
log₅125 = 3
This will be equivalent to 5³ = 125 where C = 3 and D = 125
The measure of values A, B, C and D are 4, 16, 3 and 125 respectively.
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Given the following LP model, which is the correct standard form? Max(Z)=2X1+X2 Restrictions / Constrains 11×1+3×2≥33
8×1+5×2≤40
7×1+10×2≤70
7×1+10×2≤70 X1,X2≥0 Use this problem's information to answer questions 19 to 21. a. Max(Z)=3×1+2X2
11×1+3×2−51≤33
8×1+5×2+52≥40
7×1+10×2+53≥70
b. Max(Z)=3×1+2×2 11×1+3×2+51=33 8×1+5×2−52=40 7×1+10×2−53=70
c. Max(Z)=3×1+2×2 11×1+3×2−51=33 8×1+5×2+52=40 7×1+10×2+53=70
d. Max(Z)=3×1+2×2 11X1+3×2+$1=33 8×1+5×2+52=40 7×1+10×2+53=70
The correct standard form for the given LP model is option C: Max(Z) = 3x1 + 2x2, subject to the constraints 11x1 + 3x2 - 5 <= 33, 8x1 + 5x2 + 5 >= 40, and 7x1 + 10x2 + 5 >= 70, with x1, x2 >= 0. This option aligns with the original objective function and constraints of the LP model.
To convert the LP model into standard form, we need to rewrite the constraints with the variables on the left-hand side and constants on the right-hand side, with inequality signs (<= or >=) consistent throughout. Additionally, we introduce slack or surplus variables to transform any non-standard constraints.
In option C, the constraints are correctly transformed as 11x1 + 3x2 - 5 = 33, 8x1 + 5x2 + 5 >= 40, and 7x1 + 10x2 + 5 >= 70. These constraints are consistent with the original model. The objective function remains the same, Max(Z) = 3x1 + 2x2.
Option A has incorrect signs in the transformed constraints, and option B introduces surplus variables (+5) instead of slack variables (-5), resulting in an incorrect standard form. Option D includes a non-standard term with a dollar sign, which is inconsistent with linear programming conventions.
Therefore, option C is the correct standard form, adhering to the original LP model's objective function and constraints.
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The AID Parcel Service wants to build a new distribution center in Charlotte. The center needs to be in the vicinity of Inerstate-77 and Intersatate-85 interchanges, and the Charlotte International Airport. The coordinates of these three sites and the number of weekly packages that flow to each are as follows:
I-77 I-85 Airport
X=16 X=35 X=40
Y=28 Y=10 Y=18
W=26,000 W=12,000 W=10,000
Determine the best site location using the center-of-gravity technique
Subject - Logistics management
Using the center-of-gravity technique, the best site location for the new distribution center in Charlotte is determined to be at coordinates (X, Y) = (27.92, 19.08).
The center-of-gravity technique is used to find the optimal location for a facility based on the distribution of demand. In this case, we will calculate the weighted average of the coordinates (X, Y) of the three sites, with the weights being the number of weekly packages flowing to each site.
To calculate the X-coordinate of the center of gravity, we use the formula:
Xc = (X1 * W1 + X2 * W2 + X3 * W3) / (W1 + W2 + W3)
Similarly, for the Y-coordinate:
Yc = (Y1 * W1 + Y2 * W2 + Y3 * W3) / (W1 + W2 + W3)
Substituting the given values:
Xc = (16 * 26000 + 35 * 12000 + 40 * 10000) / (26000 + 12000 + 10000) ≈ 27.92
Yc = (28 * 26000 + 10 * 12000 + 18 * 10000) / (26000 + 12000 + 10000) ≈ 19.08
Therefore, the best site location for the new distribution center in Charlotte is approximately at coordinates (X, Y) = (27.92, 19.08) based on the center-of-gravity technique.
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What is the code in python to remove ' at the beginning and at the end and also remove the item at index 12?
To remove the single quotation marks ('') at the beginning and end of a string and remove the item at index 12, you can use Python's string manipulation methods and list slicing. First, you can use the strip() method to remove the surrounding single quotation marks. Then, you can convert the string into a list using the list() function, remove the item at index 12 using list slicing, and finally convert the list back into a string using the join() method.
To remove the single quotation marks at the beginning and end of a string, you can use the strip() method. This method removes any leading and trailing characters specified in the argument. In this case, you can pass the single quotation mark ('') as the argument to strip().
Here's an example:
string = "'example string'"
stripped_string = string.strip("'")
After executing this code, the value of stripped_string will be 'example string' without the surrounding single quotation marks.
To remove the item at index 12 from the string, you need to convert it into a list. You can use the list() function for this conversion. Then, you can use list slicing to remove the item at index 12 by excluding it from the list. Finally, you can convert the modified list back into a string using the join() method.
Here's an example:
string_list = list(stripped_string)
string_list.pop(12)
result_string = ''.join(string_list)
After executing this code, the value of result_string will be the modified string with the item at index 12 removed.
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Complete the table for the given rule.
Rule: y=\dfrac{1}{4}x+1y=
4
1
x+1y, equals, start fraction, 1, divided by, 4, end fraction, x, plus, 1
xxx yyy
444
888
121212
PLEASE HELP ASAP
The table is
x | 4 | 8 | 12
y | 1 | 2 | 3
The question is not understandable. The well-formatted question is
Complete the table for the given rule
Rule:
\(y=\dfrac{1}{4}x\)
Table:
x | 4 | 8 | 12
y | ? | ? | ?
Evaluation of an algebraic expression when a specified integer is used to replace a variable is known as evaluating the expression. We use the provided number to replace the expression's variable before applying the sequence of operations to simplify the expression.
For instance
On evaluation of y= x+7 when x=3, and x=12
we get y(3) = 3 + 7 = 10 and y(12) = 12 + 7 = 19
The given equation is
\(y=\dfrac{1}{4}x\)
So, the table is
x | 4 | 8 | 12
y | 1 | 2 | 3
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Answer:
0
12/4
1.75
in that order
In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16. 50 kg?
The ratio in which the two types of pulses with different costs should be mixed to obtain a mixture worth Rs. 16.50 per kg is 1:2 or 0.5:1.
Let's start by assigning some variables to the problem. Let x be the ratio of the first type of pulses (costing Rs. 15 per kg) and y be the ratio of the second type of pulses (costing Rs. 20 per kg). We can then write:
x + y = 1 (since the two types of pulses make up 100% of the mixture)
We also know that the cost of the final mixture is Rs. 16.50 per kg. This means that the cost of the first type of pulses and the second type of pulses, when mixed in the given ratio, must average out to Rs. 16.50 per kg. We can express this as:
15x + 20y = 16.50(x + y)
Simplifying this equation, we get:
15x + 20y = 16.50x + 16.50y
3y = 1.5x
y/x = 0.5
This tells us that the ratio of the second type of pulses to the first type of pulses should be 0.5. We can also express this as a ratio of x:y, which would be 1:2. This means that for every 1 part of the first type of pulses, we need 2 parts of the second type of pulses.
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