A sine function has the following key features:
Period = 4
Amplitude = 3
Midline: y=−1
y-intercept: (0, -1)
The function is not a reflection of its parent function over the x-axis.
Use the sine tool to graph the function. The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.
Answers
The resulting graph should have a period of 4, an amplitude of 3, a midline of y=-1, and no reflection over the x-axis.
What are the period and amplitude of a graph?
The period of a function is the smallest distance over which the function repeats itself. In other words, it is the length of one complete cycle of the function. For a sine or cosine function of the form f(x) = a sin(bx) or f(x) = a cos(bx), the period is given by 2π/b.
The most simple sine function considered the parent function, is:
y = sin(x)
That function has:
Midline, also known as rest or equilibrium position: y = 0
Minimum: - 1
Maximum: 1
Amplitude: the distance between a minimum or a maximum and the midline = 1
period: the interval of repetition of the function = 2π
The more general sine function is:
y = Asin(Bx + C) + D
That function has:
Midline: y = D (it is a vertical shift from the parent function)
Minimum: - A + D
Maximum: A + D
Amplitude: A
period: 2π/B
phase shift: C (it is a horizontal shift of from the parent function)
Now, you have to draw the sine function with the given key features:
Period = 4 ⇒ 2π/B = 4 ⇒ B = π/2
Amplitude, A = 3
midline y = - 1 ⇒ D = - 1
y-intercept = (0, -1)
Substitute the know values and use the y-intercept to find C:
y = 3sin(2x/π + C) -1
Substitute (0, -1)
-1 = 3sin(2(0)/π + C) -1
3sin(C) = 0
sin(C) = 0
C = 0
Hence, the function to graph is:
y = 3sin(2x/π ) -1
To draw that function use this:
Maxima: 3(1) - 1 = 3 - 1 = 2, at x = 1 ± 4n (n = 0, 1, 2, 3, ...)
Minima: 3(-1) - 1 = - 3 - 1 = -4
y-intercept: (0, - 1)
x-intercepts: the solutions to 0 = 3sin(πx/2) = - 1
first point of the midline: (0, -1) it is the same y-intercept
Hence, the resulting graph should have a period of 4, an amplitude of 3, a midline of y=-1, and no reflection over the x-axis.
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Related Questions
How many total workers are needed to ship 110,550 units for the shift
Answers
Answer: 402 is the workers should be picking in order to ship 110,550 units for the shift. Hence, option E is correct.
Step-by-step explanation:
help fast
Using a standard deck of cards, a gamer drew one card and recorded its value. They continued this for a total of 100 draws. The table shows the frequency of each card drawn.
Card A 2 3 4 5 6 7 8 9 10 J Q K
Frequency 4 7 5 6 7 6 8 10 7 10 8 12 10
Based on the table, what is the experimental probability that the card selected was a K or 6?
one over 26
four over 25
one fourth
8 over 13
Answers
The experimental prοbability that the card selected was a K οr 6 is fοur οver 25.
What is the prοbability?The study οf prοbability examines the likelihοοd that a particular οutcοme will οccur; this likelihοοd is determined by the ratiο οf the preferred and pοssible cases.
The frequency οf K and 6 is 8 and 7 respectively.
Therefοre, the tοtal frequency οf K οr 6 is 8 + 7 = 15.
The tοtal number οf cards drawn is 100.
Hence, the experimental prοbability οf drawing a K οr 6 is:
15/100 = 3/20
Hence, the answer is fοur οver 25.
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Lyla goes out to dinner with her freinds where the subtotal is $78.41. A 6% tax and 15% tip is added to the subtotal. How much did she pay in total?
Answers
Tax = 0.06 and Tip = 0.15 basically making the percent into decimals we can add the two numbers to get a combined total of 0.21.
Now we can grab the total and multiply the two number, but we’ll add a 1 in-front of the decimal since we attempting to find the total after tax and tip is added.
So (78.41 x 1.21) = 94.8761 rounding up to the hundredth since we’re dealing with money so the answer is $94.88
Part B
Which statements are true about functions f and g?
Select all the correct answers.
O Function g has a range of all real numbers.
O Function g has a constant percent rate of change of 125%.
O Functions fand g have the same y-intercept.
Function f eventually exceeds function g.
O Functions fand g both have a domain of all real numbers.
O Function f has a constant rate of change of -4.
Answers
Therefore , the solution of the given problem of function comes out to be rate of change for O Function f is -4.
Describe the function.There will be questions on every subject, including created and real places as well as algebraic variable design, on the midterm test. a schematic illustrating the connections between various components that work together to produce the same outcome. A service is made up of many unique parts that work together to produce unique outcomes for each input.
Here,
The appropriate statements, given the facts, are:
The range of function g includes all real values.
The y-intercepts of functions f and g are identical.
The domains of functions f and g are all real integers.
The appropriate answers are thus:
The range of the O Function g includes all real integers.
The steady percent rate of change for X Function g is 125%.
The y-intercepts of X Functions f and g are identical.
O Function f ultimately outperforms function g.
The domains of X Functions f and g are all real integers.
The steady rate of change for O Function f is -4.
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Graph the equation y = 4
Answers
A bag contains nine yellow marbles and five red marbles. You randomly select two marbles from the bag. What is the probability that both marbles are yellow when you do not replace the first marble before selecting the second marble?
Answers
Answer: 18/49
Step-by-step explanation:
P(Yellow) = 9/14
= 9/14 • 9-1/14
=9/14 • 8/14
= 72/196 or 18/49
One month Lucy rented 7 movies and 9 video games for a total of $71. The next month she rented 5 movies and 3 video games for a total of S31. Find the rental cost for each movie and each video game.
Answers
Therefore, the rental cost for each movie is $2.75 and the rental cost for each video game is $5.75.
What is equation?An equation is a mathematical statement that shows the equality between two expressions. It consists of two sides separated by an equal sign (=). The left-hand side of the equation contains one expression and the right-hand side contains another expression. An equation can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division.
Here,
Let's call the cost of renting a movie "m" and the cost of renting a video game "v".
From the first month's rental, we know that:
7m + 9v = 71 (equation 1)
From the second month's rental, we know that:
5m + 3v = 31 (equation 2)
We now have two equations with two unknowns. We can solve for m and v using algebraic methods such as substitution or elimination.
Let's use elimination to solve for m and v:
Multiplying equation 2 by 3, we get:
15m + 9v = 93 (equation 3)
Subtracting equation 1 from equation 3, we get:
8m = 22
m = 2.75
Substituting m = 2.75 into equation 2, we get:
5(2.75) + 3v = 31
13.75 + 3v = 31
3v = 17.25
v = 5.75
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Please help! Due tonight!
Answers
Answer: 97445
Step-by-step explanation:
27.4% of x = 26,700
x = 26,700 divided by 27.4%
(convert 27.4% to decimal) x = 26,700 divided by 0.274
x = 97445 (note the answer is rounded because you cannot have .25 of a person)
A yoga studio offers memberships that cost $35 per month for unlimited classes. The studio also accepts walk-ins, charging $7 per class. If someone attends enough classes in a month, the two options cost the same total. What is that total amount?
Answers
The total amount of classes attended is 5 classes.
How to find the total amount?A yoga studio offers memberships that cost $35 per month for unlimited classes. The studio also accepts walk-ins, charging $7 per class.
Therefore, if someone attends enough classes in a month, the two options cost the same total. The total amount can be calculated as follows:
Let
x = number of classes attended in a month for the second option.
Hence,
7x = 35
divide both sides by 7
x = 35 / 7
x = 5
Therefore, the total amount of classes is 5 classes.
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Two owners of a cattle ranch, Robert and Val, want to find the average weight for the ranch's 200 Cows. Instead of weighing all of the cows: Robert weighs 25 cows and gets an average weight of 1,550 pounds (stdev = 50) • Val weighs 100 cows and gets an average weight of 1,380 pounds (stdev = 50) What is Val's margin of error, rounded to the nearest whole number? (The formula is 1.96 (std dey)//N
Answers
The required margin of error for Val is 9.8 pounds.
What do we mean by Margin of error?The margin of error is a statistic that describes how much random sampling error there is in survey results.
One should have less faith that a poll's findings would accurately reflect those of a population census the higher the margin of error.
Multiplying a key factor (for a specific confidence level) and the population standard deviation yields the calculation for the margin of error.
The square root of the sample's observational count is then used to divide the outcome.
So, the following equation provides the margin of error:
M = 1.96 s/√n
Now, calculate as follows:
M = 1.96 s/√n
M = 1.96 50/√100
M = 9.8
Therefore, the required margin of error for Val is 9.8 pounds.
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Correct question:
Two owners of a cattle ranch, Robert and Val, want to find the average weight for the ranch’s 200 cows. Instead of weighing all of the cows: Robert weighs 25 cows and gets an average weight of 1,550 pounds (stdev = 50) Val weighs 100 cows and gets an average weight of 1,380 pounds (stdev = 50) What is Val’s margin of error, rounded to the nearest whole number? (The formula is 1.96 (std dev) / square root of N
Jack takes out a loan that gathers compound interest. The table below shows the value of the loan over time. a) What is the rate of interest per annum? Give your answer as a percentage to 1 d.p. b) Work out the value of the loan 10 years after it starts. Give your answer in pounds (£) to the nearest 1p. Start After 1 year After 2 years £7500.00 £7920.00 £8363.52
Answers
Accοrding tο the given infοrmatiοn, the value οf the lοan 10 years after it starts is [tex]\£15,640.16[/tex]
What is cοmpοund interest?Cοmpοund interest is the interest earned οn bοth the principal amοunt and the accumulated interest frοm previοus periοds.
Tο find the rate οf interest per annum, we can use the fοrmula:
[tex]A = P(1 + r/n)^{(nt)[/tex]
where A is the end value οf the lοan, P is the initial value οf the lοan, r is the interest rate per annum (as a decimal), n is the number οf times per year that the interest is cοmpοunded, and t is the time in years.
Using the table, we can see that after οne year, the lοan has increased tο £7920.00, which is an increase οf:
7920.00 - 7500.00 = 420.00
After twο years, the lοan has increased tο £8363.52, which is an increase οf:
8363.52 - 7500.00 = 863.52
Tο find the rate οf interest per annum, we can use the fοrmula:
[tex]r = (A/P)^{(1/t)-1[/tex], where A is the end value οf the lοan, P is the initial value οf the lοan, t is the time in years, and r is the interest rate per annum (as a decimal).
Using the values frοm the table, we get:
[tex]r = (8363.52/7500.00)^{(1/2)} - 1 = 0.06[/tex]
Sο the rate οf interest per annum is 6% (tο 1 decimal place).
Tο find the value οf the lοan after 10 years, we can use the fοrmula:
[tex]A = P(1 + r/n)^{(nt)[/tex]
where P is the initial value οf the lοan, r is the interest rate per annum (as a decimal), n is the number οf times per year that the interest is cοmpοunded, and t is the time in years.
Using the values we have, we get:
[tex]A = 7500(1 + 0.06/1)^{(1*10)} =\£15,640.16[/tex]
Sο the value οf the lοan 10 years after it starts is £15,640.16 (tο the nearest penny).
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Can you solve this question?
f'(x)=?
Answers
The derivative of the function f(x) is:
f'(x) = (sinx + 2cosx)/(2√x)
How to find f'(x) of the function?
Differentiation involves finding the derivative of a function. The derivative of a function represents the rate of change of the function with respect to its input variable.
For any function of the form f(x) = u(x)·v(x). The derivative is given by:
f'(x) = u'(x)·v(x) + v'(x)·u(x)
f(x) = (√x)·sinx can be written as f(x) = [tex]x^{\frac{1}{2} }[/tex] . sin x
Thus, if f(x) = (√x)·sinx, the derivative will be:
f'(x) = (1/2)[tex]x^{-\frac{1}{2} }[/tex]sinx + [tex]x^{\frac{1}{2} }[/tex]cosx
f'(x) = sinx/(2√x) + cosx/(√x)
f'(x) = (sinx + 2cosx)/(2√x)
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Points P, Q, R and S divide a line segment joining A (2, 6) and B (7, -4) in five equal parts. Find the coordinates of P and R. :-;
Answers
Check the picture below.
so we can look at this, this way, let's find P which is 1/5 of the way from A to B, and also find R which is 3/5 of the way from A to B.
[tex]\textit{internal division of a segment using a fraction}\\\\ A(\stackrel{x_1}{2}~,~\stackrel{y_1}{6})\qquad B(\stackrel{x_2}{7}~,~\stackrel{y_2}{-4})~\hspace{8em} \frac{1}{5}\textit{ of the way from A to B} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_2}{7}-\stackrel{x_1}{2}~~,~~ \stackrel{y_2}{-4}-\stackrel{y_1}{6})\qquad \implies \qquad \stackrel{\stackrel{\textit{component form of}}{\textit{segment AB}}}{\left( 5 ~~,~~ -10 \right)} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\left( \stackrel{x_1}{2}~~+~~\frac{1}{5}(5)~~,~~\stackrel{y_1}{6}~~+~~\frac{1}{5}(-10) \right)\implies \stackrel{\textit{\LARGE P} }{(3~~,~~4)} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{internal division of a segment using a fraction}\\\\ A(\stackrel{x_1}{2}~,~\stackrel{y_1}{6})\qquad B(\stackrel{x_2}{7}~,~\stackrel{y_2}{-4})~\hspace{8em} \frac{3}{5}\textit{ of the way from A to B} \\\\[-0.35em] ~\dotfill[/tex]
[tex](\stackrel{x_2}{7}-\stackrel{x_1}{2}~~,~~ \stackrel{y_2}{-4}-\stackrel{y_1}{6})\qquad \implies \qquad \stackrel{\stackrel{\textit{component form of}}{\textit{segment AB}}}{\left( 5 ~~,~~ -10 \right)} \\\\[-0.35em] ~\dotfill\\\\ \left( \stackrel{x_1}{2}~~+~~\frac{3}{5}(5)~~,~~\stackrel{y_1}{6}~~+~~\frac{3}{5}(-10) \right)\implies \stackrel{ \textit{\LARGE R} }{(5~~,~~0)}[/tex]
A cone has a height of 18 meters and a radius of 5 meters. What is its volume?
Answers
Answer:~471.24 m
Step-by-step explanation:
1). The formula is V=πr²[tex]\frac{h}{3}[/tex]
2). Substitute: V= π5²[tex]\frac{18}{3}[/tex]
Which will give you 471.2389 but rounded approximately 471.24.
Which has the smallest value?
19.445
19.45
19.5
19.454
Answers
This is because 19.45 =19.450, 19.5 =19.500, 19.454=19.454. They are all bigger than 19.445 so 19.445 is the smallest value
3=54/t
please can you tell me how t find t
Answers
Answer:
t=18
Step-by-step explanation:
3=54/t
times both sides by t
3t=54
then divided by 3 on both sides to get t by itself
t=54/3
to simplify this it's
t=18
Hue is arranging chairs. She can form 3 rows of a given length with 1 chair left over, or 7 rows of that same length if she gets 11 more chairs. Complete the equation and solve it to find how many chairs are in that row length. In your equation, use the variable x to represent the number of chairs in each row.
Answers
As a result, each row contains 2.5 chairs. The closest whole number must be rounded up because a chair cannot be split. Thus, each row contains three chairs.
What is length referred to as?
The British imperial or American customary schemes of measurement both use the inch as their standard unit of length (symbolized as in or ′′). It is equal to 136 yards or 112 feet.
Let x represent how many chairs are in each row. Two bits of knowledge are provided by the issue:
Hue can arrange 3 rows of a particular length with just 1 chair left behind, therefore her overall number of chairs is 3x + 1.
Hue can arrange seven rows that are identical in length using an additional 11 chairs, making her total chair count 7x + 11.
These two bits of knowledge can be used to create an equation:
3x + 1 = 7x + 11
After simplifying and locating x, we get:
4x = 10
x = 2.5
Thus, each row contains 2.5 chairs. A chair, however, cannot be divided, therefore we must round to the next whole number. There are three chairs for each row as a result.
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Objective: Apply Kruskal's algorithm to find the minimum spanning tree. This activity is designed to encourage collaboration and interaction among classmates and creates engagement that is equitable to face-to-face learning.
Q: A telecommunication company plans to update fiber-optic lines for multiple neighborhoods. It saves the company money if the amount of lines can be minimized. The vertex represents the neighborhood. The distance is marked in units of 10 miles (the weight of each edge is given.) Use the Kruskal's algorithm to find the minimum Spanning tree.
1. Describe Kruskal's algorithm steps in detail. Explain how you used these steps to find the minimum weight for this question. You can label the vertices using letters in your description.
2. What is the minimum weight of the following graph? Show your Spanning tree diagram by attaching a file/image to this discussion. Use the correct units in miles. (1 on graph = 10 miles)
(see the picture attached below)
Note: The cost of the spanning tree is the sum of the weights of all the edges in the tree. There can be many spanning trees; The minimum spanning tree is the spanning tree where the cost is the minimum among all the spanning trees. There could also be many minimum spanning trees.
The minimum spanning tree has direct application in the design of networks. It is used in algorithms approximating the traveling salesman problem, multi-terminal minimum cut problem, and minimum-cost weighted perfect matching.
Answers
Answer:
Step-by-step explanation:
(1)Suppose that 84% of a sample of 125 nurses working 7 AM to 3 PM shifts in city hospitals
express positive job satisfaction, while only 72% of a sample of 150 nurses on 11 PM to 7 AM
shifts express similar fulfillment. Establish a 90% confidence interval estimate for the difference
and interpret.
p1 – proportion of nurses working day shifts
p2 – proportion of nurses working night shifts
Conditions:
1. Random – assume samples are representative of the populations
2. Independence – it is safe to assume that the samples would be independent of each other
3. 10% Condition – 125 nurses is less than 10% of all nurses working a day shift. 150 nurses is
less than 10% of all nurses working a night shift.
4. Success/Failure -
1 1 2 2 n p n p
ˆ ˆ
105 10 108 10
1 1 2 2 n q n q
ˆ ˆ
20 10 42 10
All conditions have been met to use the Normal model for a 2 proportion z-interval.
CI:
1 2
1 1 2 2
1 2
1 2
105 108
ˆ ˆ 0.84 0.72
125 150
ˆ ˆ ˆ ˆ
( ) * ˆ ˆ
(0.84)(0.16) (0.72)(0.28) (0.84 0.72) 1.645
125 150
p p
p q p q
p p z
n n
CI: (0.0391, 0.2009)
We are 90% confident that the true proportion of nurses working a day shift who express positive
job satisfaction is between 3.9% to 20.1% higher than for nurses working a night shift.
There are 6 red, 4 blue, and 10 yellow marbles in a bag. What is the probability you randomly pick one marble that is NOT red?
Answers
Answer: 4/20; 10/20
Step-by-step explanation:
There are 20 marbles in total and 4 are blue;
Numerator: 4
Then the total is at the bottom!
Denominator:20
Same as for red marbles.
Have a lovely day!!
The probability you randomly pick one marble that is not red is 7/10.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
Red = 6 marbles
Blue = 4 marbles
Yellow = 10 marbles
Total marbles= 6 +4 + 10 = 20
So, the probability of getting NO red
= (20 - 6) / 20
= 14 / 20
= 7/ 10
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Natalie is buying a car at 9800. The value drops 5% each year. What is the value of the car in 8 years
Answers
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &9800\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=\textit{elapsed time}\dotfill &8\\ \end{cases} \\\\\\ A = 9800(1 - 0.05)^{8} \implies A=9800(0.95)^8\implies A \approx 6501.52[/tex]
Answer: 6,502
Step-by-step explanation: 9,800(1-0.05)^8 = 6,502
CAN SOMEONE HELP WITH THIS QUESTION?✨
Answers
Answer 17.67
Step-by-step explanation:
x = ticket price
y = number of spectators (in thousands)
[tex]\frac{y-23000}{x-10} = \frac{26-23}{7-10} = -1[/tex]
R = revenue (in thousands)
R = xy = x * (23-3(x-10))
= x * (23-3x+30)
R' = 53-3x
R'' = - 3
R'=0 (-) x = 53/3 = 17.67 (local maximum)
the request is to evaluate the given expressions for x = 3 and y = 2
5(x+2)+9(y-1)
I want t make sure this question is as easy as it seems, I also need to simplify and solve.
Thank you
Answers
Answer:
34
Step-by-step explanation:
5 ( x + 2 ) + 9 ( y - 1 )
Solve the brackets.
5x + 10 + 9y - 9
Combine like terms.
5x + 9y + 1
Given that,
x = 3
y = 2
So, to find the value of the expression replace x and y with 3 & 2 and solve the expression.
Let us solve it now.
5x + 9y + 1
5 × 3 + 9 × 2 + 1
15 + 18 + 1
34
DQ1: Consider the vertex matrix T in application 1 page 185. How can we extend this into 3 dimensional objects in space? Add a vector, or vectors to T and describe the object for which you have created vertices (i.e., a cube, a pyramid, etc.) What are the dimensions of your new matrix? What do the dimensions represent?
Answers
Thus, for any vector x = (x1, x2, x3) in R3, we have: L(x) = Ax where A is the matrix given above.
What is matrix?A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. Matrices are used extensively in mathematics, science, engineering, and computer science to represent and manipulate linear equations, systems of equations, vectors, and other mathematical objects. Matrices can be added, subtracted, multiplied, inverted, and transformed in various ways to solve problems in algebra, calculus, statistics, and other fields. Matrices are also used in computer graphics, machine learning, and other areas of artificial intelligence to represent data, images, and other information. The size of a matrix is given by its number of rows and columns, and matrices can be classified as square (when they have the same number of rows and columns) or rectangular (when they have different numbers of rows and columns).
Here,
To find the matrix A that corresponds to the linear transformation L, we need to write L(e1), L(e2), and L(e3) as linear combinations of the standard basis vectors in R2.
L(e1) = (1+0, 0+0) = (1, 0)
L(e2) = (0+1, 1+0) = (1, 1)
L(e3) = (0+0, 1+0) = (0, 1)
So we can write:
L(x) = L(x1 e1 + x2 e2 + x3 e3)
= x1 L(e1) + x2 L(e2) + x3 L(e3)
Now we can assemble the coefficients of this linear combination into a matrix A:
A= [tex]\left[\begin{array}{ccc}1&1&0\\0&1&1\end{array}\right][/tex]
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The number of lightning strikes on a square kilometer of open ground in a year has mean 6 and standard deviation 2.4. (These values are typical of much of the United States.) The National Lightning Detection Network uses automatic sensors to watch for lightning in a sample of 25 randomly chosen square kilometers.
For the sample, what are the mean and standard deviation of ▁x, the mean number of strikes per square kilometer?
Answers
The mean of ▁x is 6 and the standard deviation of ▁x is 0.48.
What is standard deviation ?
Standard deviation is a measure of the amount of variation or dispersion of a set of data values from their mean (average) value. It tells us how much the individual data points differ from the mean. In other words, it measures the spread of the data around the mean.
A small standard deviation indicates that the data points are clustered closely around the mean, while a large standard deviation indicates that the data points are more spread out from the mean.
The formula for standard deviation is the square root of the sum of the squared differences between each data point and the mean, divided by the number of data points minus 1. It is denoted by the symbol σ for a population, and s for a sample.
The mean of the number of lightning strikes on a square kilometer of open ground in a year is 6, and the standard deviation is 2.4. Since we are interested in the mean of a sample of 25 square kilometers, the mean of the sample means, denoted by ▁x, can be found by:
Mean of ▁x = Mean of the population = 6
The standard deviation of the sample means, denoted by σ(▁x), can be found by dividing the population standard deviation by the square root of the sample size:
σ(▁x) = Population standard deviation / √Sample size
= 2.4 / √25
= 0.48
Therefore, the mean of ▁x is 6 and the standard deviation of ▁x is 0.48.
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Each 12 centimeter on a map represents an actual length of 18 of a meter. What length on the map represents 1 meter? Responses 116 centimeter 1 over 16, centimeter 58 centimeters 5 eighths, centimeters 2 centimeters 2 centimeters 4 centimeters 4 centimeters
Answers
The length οn the map that represents 1 meter in real is 2/3 centimetres.
What is ratiο?When twο numbers are cοmpared, the ratiο between them shοws hοw οften the first number cοntains the secοnd. As an illustratiοn, the ratiο οf οranges tο lemοns in a dish οf fruit is 8:6 if there are 8 οranges and 6 lemοns present.
Given that Each 12 centimetre οn a map represents an actual length οf 18 οf a meter. Therefοre, the ratiο can be written as,
=>Length οn Map / Actual Length = (12) centimetres / (18) meters
=>Length οn Map / Actual Length = 2/3 centimetres per meters
Nοw, the length οn the map that represents 1 meter in real is,
=>Length οn Map / Actual Length = 2/3 centimetres per meters
=> Length οn Map / 1 meter = (2/3) centimetres / 1 meters
=>Length οn Map = 2/3 centimetres
Hence the length οn the map that represents 1 meter in real is 2/3 centimetres.
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pls he;lp ill mark brain
Answers
Answer:
1
Step-by-step explanation:
it is one
determine if each ordered pair is a solution of the system of equations given
3x+5y=13
x-2y=-3
Answers
Answer:
x = 1 and y = 2 so if in (x, y) form then (1, 2) and if in (y, x) form then (2, 1)
Step-by-step explanation:
We can solve the system of equations using substitution. We can first isolate x in the second equation. Then, we can plug in the resulting equation for x in the first equation to solve for y:
[tex]x-2y=-3\\x=2y-3\\\\3(2y-3)+5y=13\\6y-9+5y=13\\11y-9=13\\11y=22\\y=2[/tex]
Now, we can plug in 2 for y in either equation to find x:
[tex]x-2(2)=-3\\x-4=-3\\x=1[/tex]
Thus, the solution set is (1, 2) when in the (x, y) form, but it is (2, 1) when in the (y, x) form
Teaching Textbooks Geometry! Can I get some help finding the measure of angle KLN?!? Please answer fast? :D
Answers
The measure of angle KLN in the given set of intersecting lines is 100°.
What is intersecting lines?In geometry, intersecting lines are lines that cross or meet each other at a point. The point at which the lines intersect is called the point of intersection. Intersecting lines are a fundamental concept in geometry and are used to define many other geometric shapes and concepts. For example, the intersection of two lines can form an angle, and the measurement of this angle can provide information about the relative positions of the lines.
Here,
Since the sum of angles in a quadrilateral is 360 degrees, we can set up an equation:
M + 100 + (x-y) + m<KLN = 360
We also know that m<MOL = m<KLN, since they are opposite angles of a line. Therefore:
m<KLN = m<MOL
We can use the fact that the sum of angles in a triangle is 180 degreesto set up another equation:
m<MOL + m<MON + m<NOL = 180
Since m<MOL = m<KLN, we can substitute m<KLN for m<MOL:
m<KLN + m<MON + m<NOL = 180
Now we have two equations:
M + 100 + (x-y) + m<KLN = 360
m<KLN + m<MON + m<NOL = 180
We need to solve for m<KLN. Let's isolate m<KLN in the second equation:
m<KLN = 180 - m<MON - m<NOL
Now we can substitute this expression for m<KLN in the first equation:
M + 100 + (x-y) + (180 - m<MON - m<NOL) = 360
Simplifying, we get:
280 - m<MON - m<NOL + x - y = M
Rearranging, we get:
m<MON + m<NOL = 280 + x - y - M
100=x-y
y=2/7x
100=x-2x/7
x=700/5
x=140
y=2*140/7
y=40
x-y=100°
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The company Save My Data offers data
storage in different packages for other
companies. 14 cloud accounts and 1 hard
drive have a total capacity of 18
terabytes. 3 hard drives and 4 cloud
accounts have a total capacity of 22
terabytes. Find the capacity of I cloud
account and the capacity of 1 hard drive.
Answers
the capacity of 1 cloud account is approximately 0.8421 terabytes, and the capacity of 1 hard drive is approximately 5.7895 terabytes.
Let's assume that the capacity of 1 cloud account is "C" terabytes and the capacity of 1 hard drive is "H" terabytes.
We can then set up a system of two equations to represent the given information:
14C + H = 18 (equation 1)
4C + 3H = 22 (equation 2)
We can use either substitution or elimination method to solve for C and H. Let's use elimination method by multiplying equation 1 by 3 and equation 2 by -1:
42C + 3H = 54 (equation 1 multiplied by 3)
-4C - 3H = -22 (equation 2 multiplied by -1)
Adding the two equations together, we get:
38C = 32
Dividing both sides by 38, we get:
C = 0.8421...
Now we can substitute this value of C into either equation 1 or equation 2 to solve for H. Let's use equation 1:
14C + H = 18
14(0.8421...) + H = 18
H = 5.7895...
Therefore, the capacity of 1 cloud account is approximately 0.8421 terabytes, and the capacity of 1 hard drive is approximately 5.7895 terabytes.
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Find the measure of x
Answers
Answer:
5.41
Step-by-step explanation: