The length of the shorter pipe will be 1.065 meters.
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a plumber had two pipes. The ratio of the length of the longer pipe to the shorter pipe was 9:2.
When he cut 1.65m from the longer pipe, the remaining length was 3 times that of the shorter pipe.
L / S = 9 / 2
L - 1.65 = 3S
4.5S - 1.65 = 3S
1.5S = 1.65
S = 1.065 meters
Hence, the measure of the short pipe will be 1.065 meters.
To know more about an expression follow
https://brainly.com/question/991663
#SPJ1
there are 21 sedans and 12 sports utility rehicles on the lot of a used car dealership. If he ratio of sedans to SUV's stays the same, now man sedans will be in the lot of 99 vehicles?
Answer: 63 sedans
Step-by-step explanation:
21 * 3
Use StatKey or other technology to find the regression line to predict Y from X using the following data.
X 10 20 30 40 50 60
Y 111 109 110 94 92 93
Click here to access StatKey.
Round your answer for the intercept to one decimal place and the answer for the slope to two decimal places.
The regression equation is Enter your answer; The regression equation, intercept
+ Enter your answer; The regression equation, slope
X.
The regression equation is Y = 95.0 + 0.84X.The regression line is a mathematical model that is used to predict the value of a dependent variable (Y) based on the value of an independent variable (X).
In this case, the regression line is used to predict Y from X using the following data: X = 10, 20, 30, 40, 50, 60 and Y = 111, 109, 110, 94, 92, 93. By using a regression analysis tool such as StatKey, we can calculate the regression equation that best fits this data. The regression equation is Y = 95.0 + 0.84X, where 95.0 is the intercept and 0.84 is the slope. This equation can be used to make predictions about the value of Y for a given value of X. The rounded answer for the intercept is 95.0 and the rounded answer for the slope is 0.84.
Find out more about regression equation
brainly.com/question/22077082
#SPJ4
the sum of a number and 3 is 6 less than twice that number
Answer:
x = 9
Step-by-step explanation:
x + 3 = 2x - 6
3 + 6 = 2x - x
9 = x
x = 9
Hope this helped have a great day!
For a distribution that is skewed right, which of the following is true?
Choose the correct answer below.
a. mean
b. mean = median
c. mean> median
For a distribution that is skewed right, the true statement is (c) mean> median
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
a distribution that is skewed right,
For a distribution that is skewed right, it means that there are more values on the right tail of the distribution and the tail extends further to the right than the left.
In this case, the mean is typically greater than the median.
Hence, the correct answer is "mean > median."
Read more about right skewed at
https://brainly.com/question/16410052
#SPJ1
A runner wants to be able to run 600 meters in 60 seconds. What miles per hour speed must the runner attain to accomplish this goal? The runner knows that there are 1690 meters in a mile. Round to the nearest whole number
Answer:
21 miles per hour
Step-by-step explanation:
Simplify
4x^3 - 12x^2
4x^2 + 7x - 2
2x^2 -6x
5x^2 + 11x + 2
2x(5x + 1) / (4x - 1) is the final expression.
Option D is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
(4x³ - 12x²) / (4x² + 7x - 2) / (2x² - 6x) / (5x² + 11x + 2)
= (4x³ - 12x²) x (5x² + 11x + 2) / (4x² + 7x - 2) x (2x² - 6x)
Now,
(4x³ - 12x²) = 4x² (x - 3) _____(1)
And,
(5x² + 11x + 2)
Middle term factorizing
= 5x² + (10 + 1)x + 2
= 5x² + 10x + x + 2
= 5x (x + 2) + 1(x + 2)
= (x + 2) (5x + 1) ______(2)
And,
(4x² + 7x - 2)
Middle term factorizing
= 4x² + (8 - 1)x - 2
= 4x² + 8x - x - 2
= 4x(x + 2) - 1(x + 2)
= (4x - 1) (x + 2) ______(3)
And,
(2x² - 6x) = 2x (x - 3) ______(4)
From (1), (2), (3), and (4) we get,
(4x³ - 12x²) x (5x² + 11x + 2) / (4x² + 7x - 2) x (2x² - 6x)
= [ 4x² (x - 3) x (x + 2) (5x + 1) ] / [ (4x - 1) (x + 2) x 2x(x - 3) ]
(x + 2) and (x - 3) gets canceled.
= [4x² (5x + 1)] / [(4x - 1) 2x]
= 2x(5x + 1) / (4x - 1)
Thus,
2x(5x + 1) / (4x - 1)
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
Show each inequality on a number line and then write all the one-digit integers that
satisfy it.
K<0
The one-digit integers that satisfy the inequality "k < 0" are:
-1, -2, -3
How to determine the inequalityFrom the question, we have the following parameters that can be used in our computation:
k < 0
A number line representation of the inequality "k < 0" is as follows:
-3 -2 -1 0 1 2 3
---------<----------
The inequality k < 0 represent all the numbers less than 0 on the number line.
This includes all negative one-digit integers, which are -1, -2, and -3.
Read mroe about inequality at
https://brainly.com/question/25275758
#SPJ1
June 1
June 12
• June 23
Jun 30
Inventory 150 unit cost 6$ total cost900$
purchase450 unit cost7$ total 3150$
Purchase400 unit cost 8$ total 3200$
Inventory 80
Assume a Sale of 500 units occured on June 15
for a Selling price of $9 and a sale of 420 units on
June 27 for $9
? The cost of goods available for Sale?
?calculate Moving-Average unit cost of for
June 1.
June12.
June 15.
June23.
June27.
?Calculate the cost of ending inventoryfor each cost flow assumption, using a
perpetual inventory System. Round average cost per Unit
3 decimal places.
on Round answer to 3 decimal
Answer:
Step-by-step explanation:
Cost of goods available for sale:
Starting inventory: 150 units * $6/unit = $900
Purchase on June 1: 450 units * $7/unit = $3150
Purchase on June 23: 400 units * $8/unit = $3200
Total cost: $900 + $3150 + $3200 = $7450
Moving Average Unit Cost:
June 1: $7450 / (150 + 450) = $7/unit (rounded to 3 decimal places)
June 12: $7450 / (150 + 450 + 400) = $7.36/unit (rounded to 3 decimal places)
June 15: $7450 / (150 + 450 + 400 + 500) = $7.51/unit (rounded to 3 decimal places)
June 23: $7450 / (150 + 450 + 400 + 500) = $7.51/unit (rounded to 3 decimal places)
June 27: $7450 / (150 + 450 + 400 + 500 + 420) = $7.43/unit (rounded to 3 decimal places)
Cost of ending inventory using perpetual inventory system:
FIFO: $7.51/unit * 80 units = $604 (rounded to 3 decimal places)
LIFO: $7/unit * 80 units = $560 (rounded to 3 decimal places)
Average Cost: $7.43/unit * 80 units = $594.4 (rounded to 3 decimal places)
According to the News Wire, what is the opportunity cost of a single missile test in terms of corn for each of North Korea's 26 million people?
For each of North Asia's 26 million citizens, a single ICBM missile launch represents an opportunity cost of 0.19 tons of grain.
What does "cost" mean?A cost is the value of money that was used on the creation of goods or the provision of a service and is now unavailable for use in producing, investigation, retail, & accounting. While calculating a purchase cost, the sum of both the acquisition's costs is taken into account.
One ICBM rocket launch costs $1.3 billion.
5 million metric tons of grain may be bought with this amount.
North Korea has 26 million people.
Consider a scenario in which the government uses the funds to buy metric ton of maize instead of launching an ICBM missile.
Corn purchased/population (5 million/26 million) = 0.19 tons/per person received.
Hence, 0.19 tons of grain will be distributed to every citizen in the nation.
So, for each of North Singapore's 26 million inhabitants, the potential price of one ICBM launch attempt throughout terms of maize is 0.19 tonnes of corn.
To know more about Cost visit:
https://brainly.com/question/27878211
#SPJ1
The complete question is-
North korea’s rockest deepen food crisis:
North Korea has spent a lot money on its nuclear and rocket programs. A single launch of ICBM missile costs around $1.3 billion. Since taking power in 2011, Kim jong-un authorized over 20 rocket launches, including ICBMs, beginning in January 2017. Those launches came at a great cost to the Korean people. The cost of just one ICBM launch could have been used to purchase 5 million tons of corn, for example. That would have been if enormous benefit to the Korean people, who have suffered decades of widespread poverty and periodic starvation.
According to the news wire, what is the opportunity cost of a single icbm rocket launch in terms of corn for each of North Korea’s 26 million people ?
( ) ton(s) of corn per person
A $9860 investment earns interest at
2.7% per year
compounded monthly
over 6 years. Use the compound
interest formula to calculate the value
of this investment to the nearest cent.
Answer: Final Balance is $11,591.87 and the total compound interest is $1,731.87.
Step-by-step explanation:
The common denominator for the problem 3/4 + 5/6
Answer:
Step-by-step explanation:
9/12 + 10/12
Which type of star is the sun?
A.
Supernova
B.
Hypernova
C.
Red giant
D.
Red Supergiant
Answer:
Supernova
Step-by-step explanation:
A supernova is a powerful and luminous explosion of a star, which is what the sun is.
Find the point-slope equation of the plane passing through the point (2, -12, 4) and having x-slope 15 and y-slope -19.Z = ___
The Point-Slope equation is Z = 15X - 19Y + 204.
What is the slope-point form?
The slope-point form of a line in 3-dimensional space is a equation of the form:
Z = m_x (X - X_0) + m_y (Y - Y_0) + Z_0
where (X_0, Y_0, Z_0) is a point on the line, m_x is the x-slope, and m_y is the y-slope.
Given:
point (2, -12, 4) and x-slope 15 and y-slope -19, we can use the point-slope form to find the equation of the plane:
Z = 15 (X - 2) - 19 (Y + 12) + 4
Hence, the point-slope equation of the plane passing through the point (2, -12, 4) and having x-slope 15 and y-slope -19 is:
Z = 15X - 30 - 19Y + 228 + 4
Z = 15X - 19Y + 204
To learn more about slope-point form, Visit
https://brainly.com/question/24907633
#SPJ4
Which expression represents the correct form for the quotient and remainder, written as partial fractions, of
8x3-2x2-67x-24
The quotient and remainder, when written as partial fractions, of 8x²³-21²-67x-24 is represented by 2x²-x-21.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
given that,
Which expression represents the correct form for the quotient and remainder?
(8x³-21²-67x-24) = (2x²-x-21) + (6x¹-42)
This is done by dividing 8x²³-21²-67x-24 by 2x² and using long division to find the remainder.
The result of the division is a quotient of 4x²-33x+12 and a remainder of 2x²-x-21.
The remainder is the expression which represents the quotient and remainder, written as partial fractions, of 8x²³-21²-67x-24.
To illustrate this further, we can break down the long division process into steps. First, divide 2x² into 8x²³.
The result is 4x².
Then, subtract 4x² from 8x²³ to get the remainder of 4x³.
Next, divide 4x² into 21².
The result is 33x.
Then, subtract 33x from 4x³ to get the remainder of 4x²-33x.
Finally, divide 4x²-33x into 67x.
The result is 12. Subtract 12 from 4x²-33x to get the remainder of 2x²-x-21.
This remainder is the expression which represents the quotient and remainder, written as partial fractions, of 8x²³-21²-67x-24.
To learn more about partial fractions refer to:
brainly.com/question/24594390
#SPJ1
Express the gross salary g of a person who earns per hour as a function of the number x of hours worked.
Answer:
Gross salary =G
Number of worked hours =x
Dollar per hour =$12
substitute the given data into the gross salary formula and simplify.
Gross salary = (number of worked hours)
G =(x) (12)
G =12x
Therefore, G(x) =12x
Hence the function is G(x) = 12x
What is the sum of this expression?
Answer:
B. 9[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Rewriting the two fractions in the expression:
=[tex]\frac{[(8)(2)]+1}{8} + \frac{[(8)(7)]+3}{8}[/tex]
=[tex]\frac{17}{8} + \frac{59}{8}[/tex]
Since the denominators of both the fractions is the same, then the denominator of the resulting simplified fraction will also be the same. In addition, everything written in the numerator level will be copied down as it is:
=[tex]\frac{17 + 59}{8}[/tex]
=[tex]\frac{76}{8}[/tex]
Divide the numerator and denominator by the Highest Common Factor '4':
= [tex]\frac{19}{2}[/tex]
Apply Long Division since:
The numerator is greater than the denominator and The numerator and the denominator cannot be further reduced or simplifiedChoose the highest quotient to be multiplied by 2 to give a number closest to 19 but still less than 19. The quotient turns out to be 9. The remainder is 1
∴ Sum of the expression = 9[tex]\frac{1}{2}[/tex]
1/2
0
|X| + |Y| < 1
otherwise
The function designates an area in the X-Y plane where its value is 1/2 and an area where it is 0. By applying the formula |X| + |Y| = 1, the line separating these two regions is defined as equation.
An equation and an example: what are they?When two expressions are joined by an equal sign, a mathematical statement is called an equation. An equation is something like 3x - 5 = 16. By solving for x, we discover that x equals 7, which is the value for the variable.
What are equations, and what different varieties are there?Equations can be classified as either conditional equations or identities. Any value of the variables results in an identity being true. Only certain values of the variables in a conditional equation result in truth.
To know more about Equation, visit
brainly.com/question/29657988
#SPJ1
The complete question is: Let f(x)={1/2} = 0 and |X| + |Y| < 1, find the value of x.
Given (11,6)
and (x,−9)
, find all x
such that the distance between these two points is 17
. Separate multiple answers with a comma.
Therefore, the values of x that make the equation distance between (11,6) and (x,-9) equal to 17 are x = 19 and x = 3.
What exactly is a linear equation?The formula y=mx+b is used to draw a simple regression graph. The inclination is B, and the y-intercept is m. It is frequently referred to simply as a "simple method combining many variables," despite the fact that the section before it is divided into distinct sections. Bivariate linear equations have two variables. For problems involving linear equations in applications, there are no proven solutions. Y=mx+b, also known as mx+b, provides a number of straightforward formulae.
Here,
Using the distance formula:
sqrt((x - 11)^2 + (-9 - 6)^2) = 17
Simplifying:
sqrt((x - 11)^2 + 225) = 17
Squaring both sides:
(x - 11)^2 + 225 = 289
(x - 11)^2 = 64
Taking the square root:
x - 11 = ±8
x = 11 + 8 or x = 11 - 8
x = 19 or x = 3
Therefore, the values of x that make the equation distance between (11,6) and (x,-9) equal to 17 are x = 19 and x = 3.
To know more about linear equation visit:
https://brainly.com/question/11897796
#SPJ1
1) Determine the average rate of change of the function on the given interval.
f(x)=x²-x² + 3 on [0,2]
2) Find the difference quotient,
f(x) = 3x²-x+4
f(x+h)-f(x), for the given function.
h
3) Solve the system of equations.
2x + y = 8
-4x + 2y = 13
The average rate of change of the function is zero, the difference quotient is 6x + 3h - 1 and the value of (x, y) are (3/8, 29/4).
What is the average rate of change of the function1.
The function f(x) = x² - x² + 3 is a constant function, since the two terms x² - x² cancel out. Therefore, the average rate of change of f(x) on the interval [0,2] is zero, since the function has the same value (3) at both endpoints.
2.
The difference quotient for the function f(x) = 3x² - x + 4 is:
(f(x+h) - f(x)) / h
= ((3(x+h)² - (x+h) + 4) - (3x² - x + 4)) / h
= (3x² + 6xh + 3h² - x - h + 4 - 3x² + x - 4) / h
= (6xh + 3h² - h) / h
= 6x + 3h - 1
3.
To solve the system of equations:
2x + y = 8
-4x + 2y = 13
We can use either substitution or elimination method. Here we'll use the elimination method:
Multiplying the first equation by 2, we get:
4x + 2y = 16
Adding this equation to the second equation, we eliminate y and get:
4x + 2y - 4x + 2y = 16 + 13
4y = 29
y = 29/4
Substituting y = 29/4 into the first equation, we get:
2x + 29/4 = 8
2x = 8 - 29/4
2x = 3/4
x = 3/8
Therefore, the solution to the system of equations is (x,y) = (3/8, 29/4).
Learn more on average rate of change of a function here;
https://brainly.com/question/8728504
#SPJ1
The sum of the angles of a triangle is 180". One angle of a triangle 100% and the magnitude of the other two is in the ratio 2:3. Determine the magnitudes of the other two angles.
Answer:
The two angles are 32 degrees and 48 degrees.
Step-by-step explanation:
If one angle of a triangle is 100 degrees, then the sum of the other two angles is 80 degrees (180 - 100). If the magnitude of the other two angles is in the ratio 2:3, then we can call the first angle 2x and the second angle 3x. The sum of these two angles is 5x, so 5x = 80, and x = 16. So, the two angles are 2x = 32 degrees and 3x = 48 degrees.
NEED HELP!!
You are going on a long trip and want to calculate your Miles per gallon. When you start your trip your odometer read 69247 miles. At the end of your trip your odometer reads 69765 miles. You started with a full tank and to return to a full tank you put in 14 gallons of gas total. What is your miles per gallon?
Mpg: ?
Taking the quotient between the total distance and the gallons consumed we can see that:
Mpg = 37 miles per gallon.
How to get the miles per gallon?It is just given by the quotient between the number of miles traveled and the number of gallons used.
We know that at the start the odometer reads 69247 miles and at the end the odometer reads 69765 miles, taking the difference we can see that the total distance traveled is:
69765 mi - 69247 mi = 518 mi
And you consumed 14 gallons of gas, then the miles per gallon is:
Mpg = 518mi/14 gal = 37 miles per gallon.
Learn more about quotients at:
https://brainly.com/question/629998
#SPJ1
QUICK!!! 100 POINTS PLUS BRAINLIEST
Which statements about events in World War II are true?
Choose all answers that are correct.
Responses
German and Japanese scientists succeeded in breaking the Allies' most secret codes.
Nazi terror weapons, called V-1s and V-2s, killed thousands of people in Great Britain.
Germany's industries and cities were devastated by Allied bombing raids.
American forces used new types of ships to attack Japanese-held islands in the Pacific.
Which of the following expressions is 5 times as much as the sum of r and s?
An expression for the given phrase is 5(r+s).
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given phrase is 5 times as much as the sum of r and s.
Here, the sum of r and s is r+s
Now, 5 times as much as the sum of r and s is
5(r+s)
Therefore, an expression is 5(r+s).
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ5
Which statement about histograms is true?
Data is organized in categories.
Data appears as bars that are all about the same height.
Data is organized in equal intervals.
Data appears as bars that do not touch.
The statement that is true about histograms graphs is: "Data is organized in equal intervals."
A graph is what?Academics are using graphs to logically chart or graphically depict events or quantities. A graph point is a common way to depict how different things interact. The non-linear storage structure known as a graph is made up of nodes, also referred to as vertices, and lines. Glue ought to be used to connect the edges, also known as nodes , respectively. (4.5).
Here,
The statement "Data appears as bars that are all about the same height" is false.
A histogram is a graph that represents the distribution of numerical data by organizing it into "bins" or "intervals" and displaying the count or frequency of data points that fall within each interval. The height of each bar represents the frequency or count of data points in that interval. The bars may or may not touch depending on the data and the chosen intervals.
The statement that is true about histograms is: "Data is organized in equal intervals."
To know more about graphs visit:
https://brainly.com/question/11950136
#SPJ1
In the New York Lotto, there are 51 balls numbered 1 to 51 in a barrel. To enter the lottery, you select six numbers. Then six balls are randomly drawn from the barrel without replacement to determine the six winning numbers. Select the appropriate distribution in the tool below to help answer some of the following questions. The probability that you match exactly two of the winning numbers is ______.
The appropriate distribution to answer questions about the New York Lotto is the hypergeometric distribution, which is used to calculate the probability of a certain number of successes in a sample of items drawn without replacement from a population.
The New York Lotto is a lottery game where participants select six numbers from a set of 51 numbers, 1 to 51. Then, six balls are randomly drawn from a barrel without replacement to determine the six winning numbers. To answer questions about the probability of various outcomes in this game, the appropriate probability distribution is the hypergeometric distribution. This distribution is used to calculate the probability of a certain number of successes in a sample of items drawn without replacement from a population. In the case of the New York Lotto, the population is the set of 51 numbers from 1 to 51, and the sample is the six numbers selected by the participant. The hypergeometric distribution can be used to calculate the probability of matching exactly two of the winning numbers.
Learn more about probability here
https://brainly.com/question/11234923
#SPJ4
A wave is described by the given wave function ,y left parenthesis x comma t right parenthesis space equals 0.75 m space sin space open square brackets fraction numerator 5 pi over denominator 6 end fraction m to the power of negative 1 end exponent x space minus space fraction numerator 3 pi over denominator 7 end fraction s to the power of negative 1 end exponent plus space pi over 5 close square brackets, (1+1+1+1 = 4 marks) Calculate the following: 1) The velocity of the wave in meters per second 2) The time period of the wave in seconds 3) The wavelength of the wave in meters 4) The frequency of the wave in hertz
The frequency of the wave is f = 0.67 hertz.
What is the frequency?
Frequency is the number of occurrences of a repeating event per unit of time.
1) The velocity of the wave can be calculated using the formula v = lambda / T, where lambda is the wavelength and T is the time period.
From the wave function, the wavelength can be determined by finding the distance between consecutive crests or troughs of the wave,
which is given by
2 * π / (5 * π / 6) = (2/5) * (6/π) m.
The time period can be determined by finding the time it takes for one complete wave cycle to occur, which is given by 2*π / (3 * π / 7) = (2/3) * (7/π) s.
So, the velocity of the wave is v = (2/5) * (6/π) m / ((2/3) * (7/π) s) = (12/15) * (6/7) * (π/π) m/s = 4/5 m/s.
2) The time period of the wave can be calculated as T = 2*π / (3 * π / 7) = (2/3) * (7/π) s.
3) The wavelength of the wave can be calculated as lambda = 2*π / (5 * π / 6) = (2/5) * (6/π) m.
4) The frequency of the wave can be calculated using the formula f = 1 / T, where T is the time period.
f = 1 / ((2/3) * (7/π) s) = (3/2) * (π/7) Hz
f = 0.67 hertz
Hence, the frequency of the wave is f = 0.67 hertz.
To learn more about the Frequency visit,
https://brainly.com/question/26146342
#SPJ4
The velocity of the wave is (6 × π / 35) m/s, the time period of the wave is 7 / (3 × π) s, the wavelength of the wave is 6 / 5 m, and the frequency of the wave is 3 × π / 7 s⁻¹.
Give a brief account on wave function?A wave function, in physics, is a mathematical description of a wave, usually used in quantum mechanics to describe the behavior of subatomic particles such as electrons and protons. The wave function provides information about the position, momentum, and other properties of a particle at a given point in time and space. It is represented by a complex mathematical function that satisfies Schrödinger's equation, which describes the time evolution of a wave function in a quantum system. The wave function is central to the interpretation of quantum mechanics and is often used to calculate the probabilities of different outcomes in quantum experiments.
Given the wave function:
y(x, t) = 0.75 m × sin[(5 × π / 6 m⁻¹) × x - (3 × π / 7 s⁻¹) × t + π / 5]
The velocity of the wave can be calculated using the wavelength (λ) and frequency (f) of the wave. The velocity (v) is given by v = λ × f. The wavelength (λ) and frequency (f) can be determined from the wave function as follows:
λ = 2 × π / (5 × π / 6 m⁻¹) = 6 / 5 m
f = 3 × π / 7 s⁻¹
So, the velocity of the wave is given by:
v = λ × f = (6 / 5 m) × (3 × π / 7 s⁻¹) = (6 × 3 × π / (5 × 7)) m/s = (6 × π / 35) m/s
The time period (T) of the wave is the time it takes for the wave to complete one full cycle. It can be determined from the frequency of the wave as follows:
T = 1 / f = 1 / (3 × π / 7 s⁻¹) = 7 / (3 × π) s
The wavelength (λ) of the wave has already been calculated in step 1 as λ = 6 / 5 m
The frequency (f) of the wave has already been calculated in step 1 as f = 3 × π / 7 s⁻¹
So, the velocity of the wave is (6 × π / 35) m/s, the time period of the wave is 7 / (3 × π) s, the wavelength of the wave is 6 / 5 m, and the frequency of the wave is 3 × π / 7 s⁻¹.
To know more about waves visit:
https://brainly.com/question/29767263
#SPJ4
Find the surface area of the triangular prism
Answer:
284
Step-by-step explanation:
open up the triangle
so you get 3 sides for the length 13+10+13=36 * 5 2/3width =204
then add the 2 triangles surface
1/3 * 10base * 12height * 2 =80
total 284
the rate at which a particular animal grows is proportional to the difference between its adult height and current height
The rate at which a particular animal grows is proportional to the difference between its adult height and current height. As the animal grows, the difference between the adult height and current height decreases. T
Therefore the rate of growth decreases. This is because, as the animal grows, it reaches a point where it cannot grow any taller and the rate of growth slows down. In other words, the rate of growth is proportional to the difference between the adult's height and current height. the rate of growth is also related to the age of the animal.
Younger animals tend to grow faster than older animals because their adult height is still far away, so the difference between their current height and adult height is greater.As the animal gets older and closer to its adult height, the rate of growth decreases.
furthermore, the rate of growth is also affected by the animal's diet and overall health. If the animal is malnourished or unhealthy, then its rate of growth will be slower than if it had a healthy diet and lifestyle. In conclusion, the rate of growth of a particular animal is proportional to the difference between its adult height and current height
To know more about the rate of growth refer to the link brainly.com/question/14263843
#SPJ4
Find the value of X and Y.
The value of the side lengths x and y are 29.4 units and 17 units
How to determine the values of the sidesFrom the information given, we have that;
The hypotenuse side = 34The opposite side = yThe adjacent side = xUsing the cosine identity'
sin 30 = y/34
find the value
0. 5000 (34) = y
Multiply
y = 17 units
Using the cosine identity
cos 30 = x/34
multiply
x = 34(0.8660)
x = 29. 4 units
Hence, the values are 17 units and 29. 4 units
Learn about trigonometric identities on:
https://brainly.com/question/7331447
#SPJ1
Emily generated 10,000 random digits between 0 and 10 . Here are the results: Digit The approximate location of the median is in interval A/B/CV. The approximate location of the mean is in interval A/B/CV.
The positions are located at points A
In the given question Emily generated 10,000 random digits between 0 and 10 we have to find the approximate location of the median is in interval A/B/CV and the approximate location of the mean is in interval A/B/CV.
The mean can roughly be found in interval B, whereas the median can roughly be found in interval A.
How to find the median and mean's placement in a table
The mean
We can utilize the following inputs for our calculation as we got them from the question:
The histogram
We can observe from the histogram that it is a uniform histogram.
This indicates that the mean is in the middle.
So, we have
Mean = point A
The median
From the question, we have the following parameters that can be used in our computation:
The histogram
We can observe from the histogram that it is a uniform histogram.
This indicates that the median is situated in the middle.
So, we have
Median = point A
Hence, the positions are located at points A
To learn more about mean and median link is here:
brainly.com/question/420522
#SPJ4
The complete question is:
Emily generated 10,000 random digits between 0 and 10. Here are the results:
Frequency
1000
800
600
400
200
04
A B
0 1 2 3 4 5 6 7 8 9 10
Digit
The approximate location of the median is in interval A/B/C
The approximate location of the mean is in interval A/B/C