which equation is correct for wave speed? wave speed = (1/period) x wavelength wave speed = frequency x wavelength both of these neither of these
The correct equation for wave speed depends on the type of wave. For transverse waves, the equation is wave speed = frequency x wavelength, while for longitudinal waves, the equation is wave speed = (1/period) x wavelength.
The equation for wave speed depends on the nature of the wave. In the case of transverse waves, such as electromagnetic waves or waves on a string, the correct equation is wave speed = frequency x wavelength. Frequency refers to the number of complete oscillations or cycles of the wave per unit of time, typically measured in hertz (Hz). Wavelength represents the distance between two consecutive points in the wave that are in phase, such as the crest or trough of the wave. The product of frequency and wavelength gives the speed at which the wave propagates through the medium.
However, for longitudinal waves, such as sound waves, the correct equation is wave speed = (1/period) x wavelength. Period refers to the time it takes for one complete oscillation or cycle of the wave, and it is the reciprocal of frequency. The wave speed in longitudinal waves can be calculated by multiplying the wavelength by the inverse of the period.
Therefore, the correct equation for wave speed depends on whether the wave is transverse or longitudinal. For transverse waves, it is wave speed = frequency x wavelength, while for longitudinal waves, it is wave speed = (1/period) x wavelength.
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Which expression is equivalent to -9x^-1y^-9/-15x3y-3? Assume x & y ≠ 0
Step-by-step explanation:
when we have multiplications of fractions, we can simply "break" the multiplications apart, simplify every fraction, and then combine the results again.
-9/-15 = 3/5
x^-1/x⁵ = 1/x¹x⁵ = 1/x⁶
y^-9/y^-3 = y³/y⁹ = 1/y⁶
so, when we multiply the 3 fractions again, we get
3/(5x⁶y⁶)
which is the second answer option.
Find sec 0 if 0 is in quadrant IV and sin0=-1/5
Answer:
sec 0 = 5/(2√6)
Step-by-step explanation:
sin 0 = -1/5
Fourth quadrant Cos positive Rest negative
cos²0 + sin²0 = 1
cos²0 = 1-sin²0
cos²0 = 1 - (1/5)²
cos²0 = 1- 1/25
cos²0 = 24/25
cos0 = ±(2√6)/5
quadrant IV cos is positive.
Therefore cos0 = (2√6)/5
Now, sec0 = 1/cos0
sec0 = 1/{(2√6)/5)}
sec0 = 5/(2√6)
.
Hope it helps
Suppose the average yearly salary of an individual whose final degree is a master's is $ thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $ thousand. Find the average yearly salary of an individual with each of these final degrees. The average yearly salary for an individual whose final degree is a bachelor's is $ nothing thousand and the average yearly salary for an individual whose final degree is a master's is $ nothing thousand.
Complete question :
Suppose the average yearly salary of an individual whose final degree is a master's is $55 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn ?$116 thousand. Find the average yearly salary of an individual with each of these final degrees.
Answer:
Average salary of a bachelor's degree holder = $57,000
Average salary of a master's degree holder = $59,000
Step-by-step explanation:
Let:
Average salary of a bachelor's degree = b
Salary of a master's holder = 2b - 55000
Combined salary of both degrees :
b + (2b - 55000) = 116000
b + 2b - 55000 = 116000
3b = 116000 + 55000
3b = 171000
Divide both sides by 3
3b/3 = 171000/3
b = 57000
Hence,
Average salary of a bachelor's degree holder = $57,000
Average salary of a master's degree holder = 2(57000) - 55000 = 59,000
Take the first 4 digits of your student number as the first number and the last 3 digits as the second number. Write the matlab code to find the greatest common divisor of these numbers using the Euclidean algorithm.
The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.
To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:
% Replace '12345678' with your actual student number
studentNumber = '12345678';
% Extract the first 4 digits as the first number
firstNumber = str2double(studentNumber(1:4));
% Extract the last 3 digits as the second number
secondNumber = str2double(studentNumber(end-2:end));
% Find the GCD using the Euclidean algorithm
gcdValue = gcd(firstNumber, secondNumber);
% Display the result
disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);
Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.
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ASAP!!! PLEASE help me solve this question! No nonsense answers, and solve with full solutions.
Answer:
when two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°.
Step-by-step Explanation:
The relationship between an intercepted arc and an inscribed angle is given as:
the measure of the intercepted arc = twice the inscribed angle that intercepts it.
Also, by virtue of this, when two inscribed angles intercepts the same arc, both inscribed angles are said to be congruent. And the measure of both angles equal the measure of the arc they both intercept.
Therefore, if the measure of an arc, that is intercepted by 2 inscribed angles, is given as 75°, both inscribed angles equal 75° as well. Thus, each of the inscribed angles is half the measure of the intercepted arc.
Therefore, the statement that is true about inscribed angles is: "when two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°."
Estimate and solve 3,836 ÷ 63 = ________. (2 points)
60 r 9
58 r 56
60 r 56
58 r 9
Answer:
60 r 56
Step-by-step explanation:
he accompanying histogram shows the life expectancies at birth for 190 countries as collected by an international health agency.
a) Which would you expect to be larger: the median or the mean? Explain briefly.
b) Which would you report: the median or the mean? Explain briefly.
a) The median would be larger than the mean because the life expectancy of some countries may be much lower than the others, thus affecting the mean.
b) The median should be reported as it is a better measure of central tendency, as it is not affected by outliers.
a) The median is expected to be larger than the mean because the life expectancy of some countries may be much lower than the others, thus affecting the mean. The mean is calculated by adding all the values together and dividing by the number of values, and if there are any values that are much lower or higher than the rest, this will affect the mean significantly. The median, however, is the midpoint of the values, so outliers have less of an influence on it.
b) The median should be reported as it is a better measure of central tendency, as it is not affected by outliers. The median is the midpoint of the values, which means that if there are any values that are much lower or higher than the rest, it will not affect the median as much as it does the mean. This makes the median more accurate in representing the life expectancy of countries, as it is not skewed by outliers. Furthermore, the median is generally more reliable when dealing with skewed distributions, which is often the case with life expectancy data.
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Help fasttt!
What is the value of x?
Answer:
14
Step-by-step explanation:
5x = 70
x = 14
Answer:
The answer is option 1.
Step-by-step explanation:
Given that total angles in a quadrilateral is 360°. So in order to find x, you have to substract the remaining angles from 360° :
\(5x + 110 + 110 + 70 = 360\)
\(5x + 290 = 360\)
\(5x = 360 - 290\)
\(5x = 70\)
\(x = 70 \div 5\)
\(x = 14\)
what will it cost to carpet of a rectangular floor measuring 27 feet by 24 feet if the carpet costs $15.8 per square yard
To carpet the rectangular floor, it will cost $1,137.6. The result if obtained by multiplying the area of the carpet by the cost per square yard.
How to calculate the cost of a product?To calculate the cost of a product, multiply the product price for one item by the quantity.
We have a rectangular floor with a dimension of 27 feet by 24 feet. The carpet cost is $15.8 per square yard. Find the total cost to carpet it!
Let's change the unit of length.
27 feet = 27/3 yard = 9 yard24 feet = 24/3 yard = 8 yardThe area of the carpet is
A = 9 yard × 8 yard
A = 72 square yard
The total cost is
C = A × price/square yard
C = 72 × $15.8
C = $1,137.6
Hence, the total cost to carpet the floor is $1,137.6.
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Stand famikbis driving to Disneyland; which is 860 miles away. If they average 60mph and take 30 minutes. Breaks every two hours, how long will it take?show your equation
It will take the Stand family approximately 29.17 hours to reach Disneyland, including the breaks taken every two hours.
The total time taken can be calculated as:
total time = (distance ÷ speed) + (breaks ÷ 2)Here, distance = 860 miles, speed = 60 mph, and breaks are taken every two hours, which means 430 miles of driving before each break.
So, the equation becomes:
total time = (860 ÷ 60) + (430 ÷ 60) + (430 ÷ 60) + 0.5Simplifying the equation, we get:
total time = 14.33 + 7.17 + 7.17 + 0.5total time = 29.17 hoursTherefore, it will take the Stand family approximately 29.17 hours to reach Disneyland, including the breaks taken every two hours.
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solve 2x + 12 = -4. show wrk
2x +12=-4
2x= -4-12
2x=-16
x=-16/2
x= -8
Step-by-step explanation:
2x+12=-4
2x=-4-12
x=-16/2
x=-8
hope this helps you
have a good day.
How many roots do the functions have in common?
f(x)=x² - 4x - 5
Choose 1 answer:
f and g share the same root(s).
f and g share one root in common but each have another root that
is not shared.
f and g share no roots in common.
Answer:
Step-by-step explanation:
To determine how many roots the function f(x) = x² - 4x - 5 has in common with another function, we need the equation of the other function. Without that information, we cannot determine the number of common roots. Please provide the equation of the other function, and I will be able to assist you further.
Hope this answer your question
Please rate the answer and
mark me ask Brainliest it helps a lot
2.1 Convert the following common fractions to decimal fraction. 2.1.2.
\( \frac{9}{25} \)
The decimal fraction that represents the given fraction is: 0.36.
How to convert to decimal fractionsTo convert the figure from the given form to the decimal fraction, you can choose to use the long division format or simply divide it with the common factors. Between, 9 and 25, there is no common factor, so the best method to use here will be long division. Thus, we can proceed as follows:
1. 25 divided by 9
This cannot go so, we put a zero and a decimal point as follows: 0.
Then we add 0 to 90
2. Now, 25 divided by 90 gives 3 remainders 15. We add 3 to the decimal: 0.3
3. 90 minus 75 is 15. we add a 0 to this and divide 150 by 25 to get 6. This is added to the decimal to give a final result of 0.36.
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zach went shopping for some new clothes. He purchased 3 new shirts(solid,striped,plaid)2 pairs of pants(blue,and grey)and two new ties (a bow tie and a regular tie) what is the probability of him wearing a solid shirt,blue pants and a bow tie?
Answer:
Probability of Zach wearing a solid shirt, blue pants, and a bow tie is 1/12.
Step-by-step explanation:
The probability of Zach wearing a solid shirt, blue pants, and a bow tie is equal to the product of the probabilities of each event happening independently.
The probability of Zach wearing a solid shirt is 1/3, since he has 3 shirts and only one of them is solid.
The probability of him wearing blue pants is 1/2, since he has 2 pairs of pants and only one of them is blue.
The probability of him wearing a bow tie is 1/2, since he has 2 ties and only one of them is a bow tie.
Therefore, the probability of Zach wearing a solid shirt, blue pants, and a bow tie is:
P(solid shirt) * P(blue pants) * P(bow tie) = 1/3 * 1/2 * 1/2 = 1/12
So the probability of Zach wearing a solid shirt, blue pants, and a bow tie is 1/12.
I have provided 2 pictures. Please help.
Answer:
Feature 1- Statement A, Feature 2-Statement 2, Feature 3- Statement 1
(x^2+3) - [3x+(8-x^2) ]
\(2 {x}^{2} - 3x - 5\) ✅
Step-by-step explanation:
\(( {x}^{2} + 3) - [3x + (8 - {x}^{2} )] \\ = {x}^{2} +3 - [3x + 8 - {x}^{2} ] \\ = {x}^{2} + 3 - 3x - 8 + {x}^{2} \\ = 2 {x}^{2} - 3x - 5\)
\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}\)
Solve the absolute value equation.
4 − |x| = 1
Answer:
x = +3 and -3
Step-by-step explanation:
Start by solving for |x| as normal:
4 - |x| = 1
- |x| = -3 (subtract 4 from both sides)
|x| = 3 (multiply both sides by -1)
the absolute value of x means it will be positive, so you need to recognize that whatever is in the absolute value bars will be made positive.
this means that x = 3 AND -3, because both |3| and |-3| = 3
check your answer by plugging x = 3 and x = -3 back in:
4 - |3| = 1
4 - 3 = 1
1 = 1
and
4 - |-3| = 1
4 - 3 = 1
1 = 1
Answer: 3 and -3
Step-by-step explanation:
Here's why: normally if this were a normal equation the answer would be -3. But the absolute value sign changes something making it 3 because of the absolute value and -3 because of the original equation answer without the absolute value symbol.
Which function has a greater rate of change?
A.
Y=X4
B.
X Y
-2-11
0-9
2 -7
-
3-6
6-3
Determine if the given value is a solution of the inequality. Show your work.
7 – 2y > 3y + 13; y = -1
Given:
\(7-2y>3y+13\)
To find:
The whether the value \(y=-1\) is a solution of the given inequality or not.
Solution:
We have,
\(7-2y>3y+13\)
It can be rewritten as
\(-2y-3y>13-7\)
\(-5y>6\)
Divide both sides by -5 and change the inequality sign.
\(y<\dfrac{6}{-5}\)
\(y<-1.2\)
All the value of y less -1.2 are the solutions of the given inequality but -1 is greater than -1.2.
\(-1>-1.2\)
Therefore, \(y=-1\) is not a solution of the given inequality.
A carnival game has a circular target on a coordinate plane. The target has the equation (x
+ 5)2 + (y + 5)² = 16. Sylvie throws a dart at point (-1,-6). Where is the point located in
relation to the target?
The point is located (d) outside the target in relation to the target
How to determine the location of the point?From the question, we have the following parameters that can be used in our computation:
Circle equation: (x + 5)² + (y + 5)² = 16. Sylvie throws a dart at point (-1,-6)This means that we substitute (-1,-6) for x and y in the circle equation = (x + 5)² + (y + 5)² = 16.
So, we have the following representation
(x + 5)² + (y + 5)² = 16.
Substitute the known values in the above equation, so, we have the following representation
(-1 + 5)² + (-6 + 5)² = 16.
Evaluate the sum
(4)² + (-1)² = 16.
Evaluate the exponent
16 + 1 = 16.
Evaluate the sum
17 = 16
17 is greater than 16
Hence, the point is not in the target
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If 15 people start a race, in how many different ways can the top 3 finishers be determined?
Hence, 15 people out of 3 people can be chosen in 35 ways.
Combinations:It is a method that helps us to determine the number of possible ways an item can be chosen given that the order of selection does not matter. Hence we are free to select the items in any order.Combinations are often confused with permutations. Permutations are the number of ways the given items can be arranged. Here the order is important.The formula for combinations:If we have 'n' items and we are required to choose 'r' items, the number of ways in which it can be done is calculated as:\(^{n}C_{r} }\) = \(\frac{n!}{(n-r)!r!}\)It is given that:
The total number of people in a race, n = 15
The number of finalists, r = 3.
Hence, the number of ways in which 3 people out of the 15 people can be finishers are:
\(^{15}C_{3} }\) = \(\frac{15!}{(15-3)!3!}\) = \(\frac{15!}{12!3!}\) = 35.
Hence, 15 people out of 3 people can be chosen in 35 ways.
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Use the confidence interval to find the margin of error and the sample mean:
(0.256,0.380)
a.The margin of error is: _____
b.The sample mea is: _____
The confidence interval to find the margin of error and the sample mean:
(0.256,0.380) The sample mean is the average value obtained from the sample data.
To find the margin of error and the sample mean, we need more information.
The confidence interval (0.256, 0.380) provides the range of possible values for the true population mean.
However, without knowing the sample size or the level of confidence associated with the interval, we cannot calculate the margin of error or the sample mean.
The margin of error is typically calculated by multiplying the standard error by the appropriate critical value, based on the desired level of confidence. The sample mean is the average value obtained from the sample data.
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Solve the first order linear differential equation xy ′
+2y=x 2
−x+1,x>0, with the initial value y(1)= 2
1
First, take equation to the standard form of a first order linear differential equation, y ′
+P(x)y=Q(x), and then use an integrating factor to solve. Other methods will get no credit.
Answer for this linear differential equation is y(x) = (lnx + 1/x) / 4 + 7/4 × x^-2.
Given first order linear differential equation xy ′+2y=x 2−x+1, x>0, with initial value y(1)= 21. Let's use the integrating factor method to solve the given differential equation. First, we need to convert the given differential equation into the standard form of a first order linear differential equation:
y ′+P(x)y=Q(x)
Divide both sides of given differential equation by x, we get:
y′+2y/x = x − 1/x + 1/x
Now, we have P(x) = 2/x and Q(x) = (x − 1)/x + 1/xSo, the standard form of the given differential equation is:
y′+ 2y/x = (x − 1)/x + 1/x
Now, we need to find the integrating factor (I.F) = e∫ P(x) dxI.F = e∫ 2/x dxI.F = e²ln|x|I.F = e^(ln|x|²)I. F = x²Therefore, multiply the given differential equation by I.F x²:
xy′(x²) + 2xy(x²)/x = (x − 1)/x (x²) + 1/x (x²)
Simplify xy′x² + 2y = x(x − 1) + x. Integrating factor x² on both sides, we have:
x² y′+2x y=x³ − x² + x⁴/4 + Cx⁴/4
Here, C = y(1)/x¹ = (2/1) / (1) = 2. Therefore, C = 2. Put x = 1 and y = 2 in the above equation. x² y′+2x y=x³ − x² + x⁴/4 + Cx⁴/4x² (y′ + 2y) = 2x² + 1/4x⁴ − x³ + x² + 2x²x² (y′ + 2y) = 3x² + 1/4x⁴y′ + 2y = 3/x² + 1/4x²y′ + 2y = (4x² + 1)/4x². This is the required differential equation. Solve it by using the method of integrating factor as: Apply integrating factor:Multiplying factor:
e^(2lnx) = e^(lnx²) = x²y(x²) = 1/4 ∫ (4x³ + x²)/x⁴ dxy(x²) = 1/4 ∫ (4/x + 1/x²) dxy(x²) = (lnx + 1/x) / 4 + C'
Now, apply initial condition y(1) = 2:
2 = (ln1 + 1) / 4 + C'C' = 2 - 1/4C' = 7/4
Thus, the solution of the given differential equation is: y(x) = (lnx + 1/x) / 4 + 7/4 × x^-2.
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due now help please !!!!!!!!!!!!!!!!!!!!
Which relation is linear?(click all that apply)
Evaluate (1.5x10^-5)(3x10²). Express your answer in scientific notation.
As part of his retirement strategy Winston plans to invest $600,000 in two different funds. He projects that the high-risk investments should return, over time, about 12% per year, while the low-risk investments should return about 4% per year. If he wants a supplemental income of$30,000 a year, how should he divide his investments?
Answer: Winston should invest $75,000 in the high-risk fund and $525,000 in the low-risk fund to achieve his retirement income goal.
Step-by-step explanation:
Let x be the amount of money invested in the high-risk fund, and y be the amount of money invested in the low-risk fund. We know that x + y = $600,000, since that is the total amount Winston plans to invest.
We also know that the high-risk investments should return 12% per year, and the low-risk investments should return 4% per year. Therefore, the total return on his investment will be:
0.12x + 0.04y
Winston wants a supplemental income of $30,000 per year. We can set up an equation for this as well:
0.12x + 0.04y = $30,000
We can use the equation x + y = $600,000 to solve for one of the variables in terms of the other. For example, we can solve for y as follows:
y = $600,000 - x
Substituting this expression for y into the equation for the total return, we get:
0.12x + 0.04($600,000 - x) = $30,000
Simplifying and solving for x, we get:
0.12x + $24,000 - 0.04x = $30,000
0.08x = $6,000
x = $75,000
Winston should invest $75,000 in the high-risk fund and $525,000 in the low-risk fund to achieve his retirement income goal.
this is very important... its for alegbra.. please help
Answer in decimal form = -0.2
Answer as a fraction = -1/5
=========================================================
Explanation:
The term "rate of change" is the same as "slope" for linear equations.
Use the slope formula to get the steps shown below.
\((x_1, y_1) = (-3, 3.6) \text{ and } (x_2, y_2) = (5, 2)\\\\m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{2-3.6}{5-(-3)}\\\\m = \frac{2-3.6}{5+3}\\\\m = \frac{-1.6}{8}\\\\m = \frac{-16}{80}\\\\m = -\frac{1}{5}\\\\m = -0.2\\\\\)
The decimal value is exact without any rounding done to it.
A slope of -1/5 means we go down 1 unit and to the right 5 units.
slope = rise/run = -1/5
rise = -1 = go down 1
run = 5 = go to the right 5
In each of problems 5 through 11, find the general solution of the given differential equation
The complete question is
"Find the general solution of the given differential equation
y''-y=0, y1(t)=e^t , y2(t)=cosht
The function \(y(t)=e^t\) is the solution of the given differential equation.
The function y(t)=cosht is the solution of given differential equation.
What is a function?
The function is a type of relation, or rule, that maps one input to specific single output.
Given;
\(y_1(t) = e^t\)
Given differential equations are,
y''-y = 0
So that,
\(y' (t) = e^t, y'' (t) = e^t\)
Substitute values in the given differential equation.
\(e^t -e^t=0\)
Therefore, the function \(y(t)=e^t\) is the solution of the given differential equation.
Another function;
\(y(t)=cosht\)
So that,
\(y"(t)=sinht\\\\y"(t)=cosht\)
Hence, function y(t)=cosht is solution of given differential equation.
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