identify the values of a h and k y=5/x+6-2
The values of a, h and k on the function are given as follows:
a = 5.h = 6.k = -2.The meaning of the transformations is given as follows:
Multiplication by a = 5 -> vertical stretch by a factor of 5.h = 6 -> translation left 6 units.k = -2, translation down 2 units.What is a translation?A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.
The four translation rules for functions are defined as follows:
Translation left a units: f(x + a).Translation right a units: f(x - a).Translation up a units: f(x) + a.Translation down a units: f(x) - a.The parent function in this problem is given as follows:
y = 1/x.
Hence the meaning of the transformations is given as follows:
Multiplication by a = 5 -> vertical stretch by a factor of 5.h = 6 -> transformation f(x + 6), translation left 6 units.k = -2, transformation f(x) - 2, shift down 2 units.More can be learned about translations at brainly.com/question/28174785
#SPJ1
A gym's membership in 2012 was 9,300. The current membership is 2,800. Which expression can be used to find the percent of change? WHAT EXPRESSION NOT WHAT THE PERCENT IT.
The expression that can be used to find the percent of change between the gym's membership in 2012 and the current membership is ((Current Value - Initial Value) / Initial Value) \(\times\) 100.
To find the percent of change between the gym's membership in 2012 and the current membership, we can use the following expression:
Percent of change = ((Current Value - Initial Value) / Initial Value) \(\times\) 100
In this case, the initial value is 9,300 (membership in 2012), and the current value is 2,800 (current membership).
Substituting these values into the expression, we get:
Percent of change = ((2,800 - 9,300) / 9,300) \(\times\)100
Simplifying the expression further, we have:
Percent of change = (-6,500 / 9,300) \(\times\) 100
Therefore, the expression that can be used to find the percent of change between the gym's membership in 2012 and the current membership is ((Current Value - Initial Value) / Initial Value) \(\times\)100. This formula calculates the relative difference between the initial and current values and expresses it as a percentage.
For more such answers on Percentage
https://brainly.com/question/24877689
#SPJ11
a man is rowing upstream. as he passes a bridge he drops his hat in the water but does not realize it until 10 minutes later. he then turns around and rows downstream, retrieving the hat 1 mile below the bridge. what is the rate of the stream?
The rate of stream or speed of water flow is 2.682 meter/second
What is distance, speed and time equation?The equation that creates a relationship among height or distance, speed or rate and time is termed as distance, speed and time equation.
As per the equation distance or height = speed × time
we know speed means rate of changes of distance or height with respect to time.
How to calculate rate of stream?distance passed by hat = 1 mile =1609.344 meters
time required to pass this distance = 10 minutes = 600 second
Now rate of stream means the speed of water flow = rate of change of distance = distance/time
rate of stream = 1609.344/600 = 2.682 m/s
hence, speed of flow is 2.682 m/s
To know more about speed, distance and time visit:
https://brainly.com/question/12626613
#SPJ4
Solve for y.
14-y= b
The value of y in the expression 14 - y = b is y = 14 + b.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression 14 - y = b, Now solving for 'y' is the same as finding the value of y so we'll separate y on the LHS and all the other terms on RHS.
Therefore,
14 - y = b.
- y = b - 14.
- ( - y) = - (b - 14).
y = 14 + b.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ2
Find x so that the distance between the points (-2,5) and (x,-7) is 13
Distance between both points = 13
We have to find value of x\(.\)
Distance between two points can be measured by using this formula :
d = √[(x₂ - x₁)² + (y₂ - y₁)²]⭆ d = √[(x₂ - x₁)² + (y₂ - y₁)²]
⭆ 13 = √[(x - (-2))² + (-7 - 5)²]
⭆ 13² = (x + 2)² + (-12)²
⭆ 169 = (x + 2)² + 144
⭆ (x + 2)² = 169 - 144
⭆ (x + 2)² = 25
⭆ x + 2 = 5
⭆ x = 5 - 2
⭆ x = 3
Hope It Helps!the graph of f is shown in the figure to the right. let a(x)= be two area functions for f
A function is a function that represents the area under a curve. In this case, f is the curve being considered. The function a(x) represents the area under the curve of f from x=0 up to x.
So, if we want to find the area under the curve of f from x=0 up to x=3, we would evaluate a(3) - a(0). This would give us the total area under the curve of f from x=0 to x=3. Similarly, if we have another area function, say b(x), that represents the area under the curve of f from some other starting point (e.g. from x=1), we would use b(x) to find the area under the curve of f from x=1 up to some other x value.
The graph of f, displayed in the figure to the right, represents a function that can be analyzed using various mathematical concepts. In this case, we can consider two area functions for f, denoted as A(x) and B(x), which would allow us to evaluate the areas under the curve of the graph with respect to the x-axis. These area functions can be used to understand properties and behaviors of the function f in different regions of the graph.
To know more about function visit:
https://brainly.com/question/30721594
#SPJ11
find the exact values of the sine, cosine, and tangent of the angle. 255° = 300° − 45°
The exact values of the sine, cosine, and tangent of the angle 255° are -1/√2, 1/√2, and -1, respectively.
To find the exact values of the sine, cosine, and tangent of the angle 255°, we can use the identity that relates the trigonometric functions of an angle to the trigonometric functions of its complement.
By expressing 255° as the sum of 300° and -45°, we can determine the exact values of the trigonometric functions for the given angle.
We know that the sine, cosine, and tangent of an angle are periodic functions, repeating every 360 degrees. To find the exact values of the trigonometric functions for 255°, we can express it as the sum of 300° and -45°, where 300° is a multiple of 360°.
Since the sine, cosine, and tangent functions are odd or even functions, we can use the values of the trigonometric functions for 45° to determine the values for -45°.
For 45°:
sin(45°) = cos(45°) = 1/√2
tan(45°) = 1
Since cosine is an even function, cos(-45°) = cos(45°) = 1/√2.
Since sine is an odd function, sin(-45°) = -sin(45°) = -1/√2.
Using the definition of tangent as the ratio of sine to cosine, tan(-45°) = sin(-45°) / cos(-45°) = (-1/√2) / (1/√2) = -1.
Therefore, for the angle 255°:
sin(255°) = -1/√2
cos(255°) = 1/√2
tan(255°) = -1
Learn more about trigonometric functions here:
brainly.com/question/28483432
#SPJ11
Determine whether the statement is true or false . 1-41 = -4*
True
False
Answer:
False
Step-by-step explanation:
Given the following question:
\(1-41\)
To find the answer we simply just have to subtract 41 from 1.
\(1-41\)
\(1-41=-40\)
\(=-40\)
Your answer is the second option or "false."
Hope this helps.
The graph of function f passes through the coordinate points (0,3) and (4,5).
Use function notation to write the information each point gives us about
function f.
Using function notation;
f(0) =3; y-intercept of the function. That is, the value of the function at; x=0f(4) = 5; This means when 4 is substituted into the function for x; the value of the function is; 5.Coordinates of pointsPoints on the graph of a function are represented by means of a pair of coordinates and these coordinates described the dependent variable's on the dependence on the independent variable.
Read more on function notation;
https://brainly.com/question/25638609
6 is 5% of what number?
Answer:
6/x=5/100
= 5x=600
= x= 600/5
= x= 120
mark me brainliestt:))
The cost to make each T-shirt is $10. You estimate that you will
sell 50 shirts. If you want to make a profit of at least $250, what
price will you charge for these T-shirts? Show your solution in two
different ways.
The price per T-shirt should be at least $15 to achieve a profit of $250.
To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.
Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.
Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.
Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.
Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.
By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.
For more question on profit visit:
https://brainly.com/question/30495119
#SPJ8
13. For a given set of data, what does the standard deviation measure?
The difference between the mean and the data point farthest from the mean
The difference between the mean and the data point nearest to the mean
The difference between the mean and the median
None of the above
Source
The standard deviation measures the spread of data points around the mean. It considers all data points, not just the farthest or nearest ones. A higher standard deviation indicates a greater spread.
The standard deviation is a statistical measure that tells us how much the data points in a set vary from the mean. It provides information about the spread or dispersion of the data. To calculate the standard deviation, we take the square root of the variance, which is the average of the squared differences between each data point and the mean.
By considering all data points, the standard deviation provides a comprehensive measure of how spread out the data is. Therefore, the statement "The difference between the mean and the data point farthest from the mean" is incorrect, as the standard deviation does not focus on just one data point.
The statement "The difference between the mean and the data point nearest to the mean" is also incorrect because the standard deviation takes into account the entire data set. The statement "The difference between the mean and the median" is incorrect as well, as the standard deviation is not specifically related to the median.
Hence, the correct answer is "None of the above."
To know more about Mean visit.
https://brainly.com/question/31101410
#SPJ11
Find x pretty please
Answer:
100⁰
because this is a quadrilateral inscribed in the circle
=> x + 80 = 180
<=> x = 180 - 80 = 100⁰
Which of these lines would be the steepest?
1 point
y = 2x + 9
y = 7x + 3
y = 5x - 3
y = 7
Answer:
The equation is y=mx+b in this case the b represents the y int and does not aid in detemining steepness. To determine the steepest, the value of m (or the slope) rise/run must be either the most positive number or the most positive negative. in this case you have 2/1 , 7/1. 5/1.
So y==7x+3 has the steepest (greatest value) slope
Step-by-step explanation:
The equation has the greatest slope which is 7, hence the equation of the line y = 7x + 3 is the steepest
The formula for finding the equation of a line is expressed as y = mx + b
m is the slope of the line
b is the y-intercept
The line that will be the steepest must have the largest slope.
Looking at the equation y = 7x +3
Get the slope by comparing to have;
mx = 7x
m = 7
Since the equation has the greatest slope which is 7, hence the equation of the line y = 7x + 3 is the steepest
Learn more here: https://brainly.com/question/12922257
WILL GIVE BRAINLIEST!!
A line has a slope of 1/3 and passes through the point (–9, –3). What is its equation in slope-intercept form?
Answer:
y = \(\frac{1}{3}\) x
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here slope m = \(\frac{1}{3}\) , then
y = \(\frac{1}{3}\) x + c ← is the partial equation
to find c substitute (- 9, - 3) , that is x = - 9, y = - 3 into the partial equation
- 3 = \(\frac{1}{3}\) (- 9) + c = - 3 + c ( add 3 to both sides )
0 = c
y = \(\frac{1}{3}\) x + 0 , that is
y = \(\frac{1}{3}\) x
needed to be changes into standard form
y = 5(x - 4)2 + 7.
Answer:
y = 5x - 13
Step-by-step explanation:
y=5x-20+7
y = 5x - 13
How to solve this math problem
if two events are mutually exclusive then they are independent T/F
The statement "If two events are mutually exclusive, then they are independent" is False, because occurrence or non-occurrence of one event provides information about other event.
Mutually exclusive events and independent events are two different concepts in probability theory.
Mutually-Exclusive events are events that do not occur at same-time. If one event happens, the other event cannot occur. For example, rolling an even number and rolling an odd number on a fair six-sided die are mutually exclusive events.
The independent events are events where the occurrence of one event does not affect the probability of the other event. In these events the outcome of one event has no influence on the outcome of the other event.
For example, flipping a fair-coin twice, where the outcome of the first flip does not impact the outcome of the second flip, represents independent events.
Therefore, mutually exclusive events cannot occur simultaneously, independent events can occur independently of each other, so the statement is False.
Learn more about Events here
https://brainly.com/question/30387379
#SPJ4
The statement 'DVDs have replaced CDs as the standard optical disc' is True.
The statement 'DVDs have replaced CDs as the standard optical disc' is True.
DVDs have indeed replaced CDs as the standard optical disc. DVDs have a higher storage capacity compared to CDs, allowing them to store more data. This makes DVDs more suitable for storing and distributing larger files, such as movies, videos, and software. DVDs also offer better video and audio quality compared to CDs, making them the preferred choice for multimedia content.
However, it's important to note that CDs are still commonly used for audio recordings, such as music albums. CDs have a lower storage capacity but are sufficient for storing audio files. They are also more affordable and widely compatible with various devices.
Learn more:About DVDs here:
https://brainly.com/question/32543672
#SPJ11
Find the area of the sector. Round to the nearest hundredth.
14 in
315°
Answer:
24.5 pi in^2
or 76.93 in^2 (Multiplied by 3.14)
Step-by-step explanation:
A = piR^2
whats the equation for the table
Answer:
y= 32x
Step-by-step explanation:
Use slope formula
192-128/6-4= 64/2
M=32x
Find y-intercept (if any)
128=32(4)+b
128=128+b
B=0
Frank shows that triangle A is congruent to triangle B by rotating triangle A around point J and then translating it so it matches up with triangle B exactly. which conclusion can be drawn from Frank’s transformations?
Answer:
If right triangles have congruent hypotenuses and one pair of congruent legs, the triangles are congruent.
Step-by-step
im also doing im
4x-2y=6 for y in terms of x
What is 24/240 as a decimal
Answer:
0.1
Step-by-step explanation:
Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator
find the value of x and round angles to the nearest whole degree
Answer:
48
Step-by-step explanation:
This is a simple Trigonometry problem
cos(x) = 4/6
cos^-1(4/6) = 48.18 = 48
Answer:
\( \cos(x) = \frac{4}{6} \\ \cos(x) =(0.66666666667)\\ x = { \cos (0.66666666667) }^{ - 1} \\ x = (48.18968510422)\)
challenge: what is the measure of x?
x= ________ degrees.
Answer:
Please see attached photo!
Step-by-step explanation:
How do you decide which technique to use when solving an equation?
Completing the square – can be used to solve any quadratic equation. It is a very important method for rewriting a quadratic function in vertex form. Quadratic formula – is the method that is used most often for solving a quadratic equation.
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.
Here,
Any quadratic problem may be solved by completing the square. It is a critical way for expressing a quadratic function in vertex form. The quadratic formula is the most often used method for solving a quadratic problem.
To know more about equation,
https://brainly.com/question/649785
#SPJ4
Write an equation for the statement and then solve
the equation.
The width of a rectangular rectangular prism is 30 cm. This is
12 more than one-fourth of the length. Find the
volume of the prism, given the height is 20 cm.
16. Equation:
17. Volume:
Answer:
16. 30 * (30+12)/4*(L)*20
17. Volume = 6300 * Length of rectangular prism
Step-by-step explanation:
The width of a rectangular prism is 30 cm. This is 12 more than one-fourth of the length. Find the volume of the prism, given the height is 20 cm.
Let L = length of rectangular prisim W = width and H = height
16.
Volume of a rectangular prism is width * length * height
30 * (30+12)/4*(L)*20
17.
= 30 * (30+12)1/4(L)*20
= 30 * (42/4)*L * 20
= 600 * 10.5 * L
= 6300 * L
Volume = 6300 * Length of rectangular prism
a circle with central angles labelled the circle above has a radius of 12 units. calculate the area of the sector enclosed by angle mzn. use pi
The area of the sector enclosed by angle MZN is 31.008π square units.
The circle has a radius of 12 units, and the area of the sector enclosed by angle MZN should be calculated. A sector is a portion of a circle that is enclosed by two radii and an arc. The formula to calculate the area of a sector of a circle is:
\(\ Area\ of\ the\ sector = (\theta/360) \times \pi r^2\)
where θ is the central angle (in degrees), r is the radius, and π is Pi.
Substituting the given values in the formula, we get:
\(\ Area\ of\ the\ sector = (78/360) \times \pi 12^2\)
= (0.2167) × (144π)
= 31.008π Square units
Conclusion: The area of the sector is calculated by using the formula: Area of the sector = (θ/360) × πr², where θ is the central angle, r is the radius, and π is Pi. Substituting the given values, the area of the sector enclosed by angle MZN is 31.008π square units.
To know more about area visit
https://brainly.com/question/1631786
#SPJ11
please answer!!
options:
a) 2
b) -2
c) -4
d) 0
In the rainforest of Puerto Rico, I needed to measure the height of a really tall tree. I used a device to measure the angle of elevation from my line of sight to the top of a tree to be 31°. Find the height of the tree if my height is 6 feet and I was 275 feet from the tree
Answer:
Step-by-step explanation:
See image