Given function:
f(x) = 9x²Let the inverse is y = f⁻¹(x).
Swap x and y in the given function and solve for y:
x = 9y²y² = x/9y = √(x/9)y = √x / 3The inverse of the given function is:
f⁻¹(x) = √x / 3Answer:
f-¹(x) = √(x)/3
Step-by-step explanation:
Now we have to,
→ find the inverse of f(x)=9x²
Then the inverse function will be,
→ f(x) = 9x²
→ y = 9x²
→ 9y² = x
→ y² = x/9
→ y = √(x/9)
→ [ y = √(x)/3 ]
Hence, the inverse is √(x)/3.
Find the general indefinite integral. (use c for the constant of integration.) 8 x9 dx
[tex]$$\begin{aligned}&\text { (1) } \int \sqrt[8]{x^9} d x=\int x^{9 / 8} \cdot d x=\frac{(x)^{\frac{9}{8}+1}}{\frac{9}{8}+1}+c=\frac{8 x^{17 / 8}}{17}+c\\\\&\Rightarrow \int \sqrt[8]{x^9} d x=\frac{8}{17} \sqrt[8]{x^{17}}+c,(c \text { is constant })\\[/tex]
What is indefinite integral?In the previous two chapters, we were given a function and asked to determine its derivative. We are now going to reverse the situation, beginning with this part. We now want to know what function we discriminated in order to obtain the function. This previous example has two implications. The initial goal was to encourage you to start considering solutions to these difficulties. First, it's crucial to keep in mind that we are only asking what we differentiated to obtain the specified function. The second thing to keep in mind is that we could potentially employ an endless number of different functions, and they would all be different by a constant.
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There are 4 roses in a vase of 13 flowers. The rest are daisies.
(a) What is the ratio of all flowers in the vase to daisies?
(b) What is the ratio of daisies to roses?
Answer:
Ratio of the roses = 4:13
Ratio of the daisies = 9:13
All the flowers ratio = 13:13
Step-by-step explanation:
(a) What is the ratio of all flowers in the vase to daisies?
ans: All the flowers ratio - Ratio of the daisies
13:13 - 9:13 = 4:13
(b) What is the ratio of daisies to roses?
ans: Ratio of the daisies - Ratio of the roses
9:13 - 4:13 = 5:13
Sorry if its wrong
Hope it helps!!!
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Hiking up a mountain, you notice that the air temperature drop 10°C for every 1,00 meters in elevation. The temperature was at 68°F at 2,000 meters in altitude. If the hiker is now at altitude of 5,000 meters, what is the current temperature? Show your work.
Answer:
you're given a *rate* of decrease and then the *extent* of the "cause". SO the rate is 10C/1000m (right? You understand why this is a rate? You go 1000m up, the temperature drops 10C. And it happens continually, bit by bit, as you climb. That's a rate!
But, you don't stop with climbing just 1000m: you climb 1000m twice *more*. So, how much has the temperature dropped in all, by the end?
You really should be able to put this together as 10C/1000m x 3000m = result. It will be in units of (degrees) C.
Now, finish the problem and get down the mountain, before you freeze (also, winds kick up more on mountains -- a double whammy).
Step-by-step explanation:
From 2008 to 2010, the cost of houses rose by 60%. if the cost of houses rose by 40% from 2008 to 2009, to the nearest percent, how much did the cost rise from 2009 to 2010?
The increase in cost from 2009 to 2010 is 14.28%
In order to solve this question we will be taking the following example:
Let the cost of the house in 2008 = $1000
Increase in cost from 2008 to 2010 = 60%
Cost of the house in 2010 = 1000 + 60%*1000 = $1600
Increase in cost from 2008 to 2009 = 40%
Cost of the house in 2009 = 1000 + 40%*1000 = $1400
Increase in cost from 2009 to 2010 = 1600 - 1400 = $200
Percentage increase in cost from 2009 to 2010 = (Increase in cost/Cost of the house in 2009)*100
=(200/1400)*100
= 14.28% or 14%
Therefore, there has been an increase of 14.28% in the cost of houses from 2009 to 2010
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The function f is defined as follows
f(x)=3x^2+1
if the graph of f is translated vertically downward by 8 units, it becomes the graph of function g
FIND THE EXPRESSION FOR G(X)
g(x)=?
Answer:
g(x)=3x²-7
Step-by-step explanation:
Subtract 8 from 3x²+1.
3x²+1-8=3x²-7
g(x)=3x²-7
Hope this helps!
Please mark as brainliest if correct!
find the larger angle given the following: the angles are complementary. the smaller angle is equal to 1⁄3 of the larger angle.
The larger angle is 67.5°.
When two angles add up to 90 degrees, they are complimentary.
Let L be the larger angle and S be the smaller angle
Given, smaller angle is 1/3 of larger angle
Thus, S = L/3
But, L + S =90
L + (L/3) =90
4L/3 = 90
4L = 270° .Therefore, L = 270 / 4 = 67.5°.
Thus the larger angle is 67.5°.
Which angle is wider?
Right angles (90 degrees), acute angles (smaller than a right angle), and obtuse angles are the three types of angles that we can recognize (larger than a right angle).
The vertex of an angle is the position where two factors come contact. The Latin word "angulus," which means "corner," is where the term "angle" originates. Angles Neighboring Us An angle can be found in many everyday objects, including fabric hangers, arrowheads, scissors, partially open doors, pyramids, table edges, ruler edges, etc.
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Please help im stuck this is geometry
Answer:
Hello,
Answer D
Step-by-step explanation:
AC=22
BC=x+14
AB=x+10
Hence AB+BC=AC
x+10+x+14=22
2x+24=22
2x=22-24
2x=-2
x=-1
What is 510 of 2550? I am very very very thankful
Answer:
Use divide 510/2550 it will be 0.2
Answer:
20% or 0.2
Step-by-step explanation:
Venus has switches at the top and bottom of her stairs to control the light for the stairwell. She notices that when the upstairs switch is up and the downstairs switch is down, the light is turned on.
b. If both the upstairs and downstairs switches are in the up position, will the light be on?
Explain your reasoning.
If both the upstairs and downstairs switches are in the up position, the light will be off
How to determine if the light will be on?The given parameters are
Switches = 2 i.e. top and bottom
Also, we have:
When the upstairs switch is up and the downstairs switch is down, the light is turned on.
This means that the light is only on when the upstairs switch is up and the downstairs switch is down
Any other position of the switches, the light is off
From the question, we have
Both the upstairs and downstairs switches are in the up position
This is different from the required position to on the light
Hence, the light will be off
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A stack of logs has 22 logs on the bottom layer. Each subsequent layer has 4 fewer logs than the previous layer. If the top layer has two logs, how many total logs are there in the pile?
Answer: ok here is ur answer
The total number of logs in the pile is 6.
Step-by-step explanation: i rlly hope this helps i hope u have a good day/night (: <3
a container with 3 1 2 gallons of weed killer can spray 2 1/4 lawns. how many gallons would it take to spray 2 lawns
Answer:
Step-by-step explanation:
my answer is 3 1/9 gallons
Given: a container with 3 1/2 gallons of weed killer can spray 2 1/4 lawns.
No. of gallons required to spray 2 lawns = x
So, first of all we should divide 3 1/2 with 2 1/4
now this division we should equalise with x/3
(3 1/2 ÷ 2 1/4) = x ÷ 2
after doing this we have got the value of x = 28/9 or 3 1/9
hence, 3 1/9 gallons is required to spray 2 lawns.
So . this question is related to capacity.
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The producers of a concert are going to use
television screens to show larger-than-life images
of the band using a scale of 2 inches = 3 feet.
The lead singer of the band is 6 feet 2 inches tall,
now tall will the singer be on the screen?
144 feet
111 fost
63 feet
9 feel
Answer:
111 feet
Step-by-step explanation:
The scale used to blow up the the lead singer (and the band) is
2 in : 3 feet
==> 1 in : 3/2 feet
Let X be the height of the band leader in inches and the blown-up image be Y
X = 6' 2" = 6 x 12 + 2 = 72 + 2 = 74"
Then Y = (3/2) x H
Y = (3/2) x 74" = 111 feet
Una compañía de teléfonos celulares ofrece dos planos de mensajes de texto la gente que usa plan a pagar 10 centavos por cada mensaje enviado o recibido la gente que usa Plan B paga $12 por mes y paga 2 centavos adicionales por cada mensaje enviado o recibido escribe una disculpa desigualdad que representa el hecho de qué los más barato que alguien o sea plan a que al plan de usar es para los representar la cantidad de mensajes de texto que envié
Using linear functions, it is found that:
Plan A is cheaper for less than 150 messages.Plan B is cheaper for more than 150 messages.What is a linear function?A linear function is modeled by the following rule:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, the change in y divided by the change in x.b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.For each plan, we have that:
The slope is the cost per message.The intercept is the fixed monthly cost.Hence the cost functions for sending x messages are given as follows:
A(x) = 0.1x.B(x) = 12 + 0.02x.The costs will be the same when:
A(x) = B(x)
Hence:
0.1x = 12 + 0.02x
0.08x = 12
x = 12/0.08
x = 150.
Due to the lower intercept of plan A, and the lower cost per message of plan B, we have that:
Plan A is cheaper for less than 150 messages.Plan B is cheaper for more than 150 messages.More can be learned about linear functions at https://brainly.com/question/24808124
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What do I divide by ?
Answer:
you did it wrong
Step-by-step explanation:
you add the 2 negatives to qual -5 then divide both sides by -5
Should be -1.6
846÷11 only asking to see if I got it right
Answer:
SEE BELOW
Step-by-step explanation:
846 divided by 11 = 76.909 ... or 76 11/10
(08.05 MC)
Functions 1 and 2 are shown:
Function 1: f(x) = -4x² + 6x + 3
Y
Function 2
N
2
Which function has a larger maximum?
Answer:
The function from the above scenario that has a larger maximum is function 1.
What is the function about?
Note that the first function is;
x = - b/ 2 a = 6 /8 = 3/4
f ( 3/4 ) = - 4 * 9/16 + 6 * 3/4 + 3
= - 9 /4 + 18 / 4 + 3
= 2.75 + 3 = 5.25
y max = 5.25
The second Function is:
y max = 2
Therefore we can see that the first function has a larger term that is ( 5.25 > 2 ).
There are 10 rulers and 25 packages of tape to be boxed. Each box must contain only one type of item, and every item must be boxed. What is the most that can be placed in a box so that each box has the same number of items?
A. 2
B. 5
C. 10
D. 15
A box can hold up to 15 items ensuring that every box contains the same quantity of items.
Given there are 10 rulers and 25 packages of tape.
Only one type of item may be present in each box.
Simply put, probability is the likelihood that something will occur.We can discuss the chance or likelihood of various outcomes when we don't know how an event will turn out. Statistics is the study of events that follow a probability distribution.The chance of an event happening is equal to 1 if there is no doubt about its likelihood. In other words, there is a 1 in the chance of an event. An event's probability is zero if there are no chances that it will occur.
In the event when 25 packages of tape and 10 rulers have to be placed in a box, the answer is 25 - 10 = 15.
then only 15 items that can be placed in a box so that each box has the same number of items.
Hence we get the desired result.
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the question is on the image.
Answer: Mr Blade is typing at about 30 words per minute
Step-by-step explanation: all you have to do is multiply 9 x 40 since that is the amount of wpm (words per minute) by amount of time it takes Mr Adi and 9 x 40 = 360 than you have to divided 360 by 12 since that is the amount of time it takes Mr Blade to type the story and 360 divided by 12 equals 30
An odd number is not divisible by 2.
no
Step-by-step explanation:
because it's a prime number
Show how to convert 83 1/3%
Answer:
5/6
Step-by-step explanation:
83 1/3% =
= (83 + 1/3)% <------- the mixed numeral 83 1/3 is the same as 83 + 1/3
= (249/3 + 1/3)% <---- to add 83 + 1/3, use the common denominator 3
= 250/3 % <---- the sum of 83 and 1/3 is 250/3, but this is still percent
= (250/3) / 100 <---- to change percent to decimal, divide percent by 100
= 250/300 <---- now we need to reduce this fraction
= 25/30 <---- divide numerator and denominator by 10
= 5/6 <---- divide numerator and denominator by 5
HELP NEEDED ASAP/NOW......NO LINKS AND NO JOKING PLS
AUBSERD ANSWERS WILL BE REPORTED
From the given graph, we have that:
The ordered pairs are given as follows: (-5,2), (-3,0), (0,-3), (3,-6), (5, -8).
The table is given by:
x = -5, g(x) = 2.x = -3, g(x) = 0.x = 0, g(x) = -3.x = 3, g(x) = -6.x = 5, g(x) = -8.In function notation, we have that:
g(-5) = 2, g(-3) = 0, g(0) = -3, g(3) = -6, g(5) = -8.
How to get the ordered pairs from the graph of a function?To get the ordered pairs from the graph of a function, we have to:
Get the x-coordinate, that is, the value of the point on the horizontal axis.Get the y-coordinate, that is, the value of the point on the vertical axis.An ordered pair has the following notation: (x,y).
Hence, from the points on the graph, the ordered pairs are given as follows:
(-5,2), (-3,0), (0,-3), (3,-6), (5, -8).
How to write the ordered pairs in the table?To write the table from each ordered pair (x,y), we have that y = g(x), hence:
x = -5, g(x) = 2.x = -3, g(x) = 0.x = 0, g(x) = -3.x = 3, g(x) = -6.x = 5, g(x) = -8.How to write the function notation?We take the g(x) points from the table, replacing x by it's numeric value, hence:
g(-5) = 2, g(-3) = 0, g(0) = -3, g(3) = -6, g(5) = -8.
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The coordinate -5 has a weight of 3 and the coordinate 3 has a weight of 1. Find the weighted average
The weighted average of the given coordinates with given weights is 3.
We are given the following information:The coordinate -5 has a weight of 3.The coordinate 3 has a weight of 1.The weighted arithmetic mean is similar to the conventional arithmetic mean in that certain data points contribute more than others to the final average.Now, we are given the formula to calculate the weighted average as,The weighted average is the sum of the weighted values divided by the sum of the weights.Thus,The weighted average is [(-5 * 3) + (3 * 1)]/(3 + 1).The weighted average is (-15 + 3)/4.The weighted average is -12/4.The weighted average is -3.We will take the absolute value of the weighted average, which is 3.To learn more about the weighted average, visit :
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i need help, due today please lol
thank u
A: Domain: (1.25,0) Range: (0,1)
B: Domain: −2≤x≤2 Range: −2≤y≤3
C: Domain: −2≤x≤3 Range:−2≤y≤2
D: Domain: −4≤x≤4 Range: −4≤y≤4
E: Domain: −2≤x≤2 Range: −3≤y≤3
Answer:
The answer is B, Domain: −2≤x≤2 Range: −2≤y≤3
Step-by-step explanation
The forecasting method that is appropriate when the time series has no significant trend, cyclical, or seasonal effect is _____.
The forecasting method that is appropriate when the time series has no significant trend, cyclical, or seasonal effect is moving averages.
What is forecasting?Using past data as inputs, forecasting is a process that produces accurate predictions of the future course of trends. Businesses use forecasting to decide how to spend their budgets and make plans for forthcoming costs. Typically, this is based on the anticipated demand for the provided goods and services. Forecasting is a tool used by investors to predict if certain events, such sales projections, would raise or lower the price of a company's stock. For businesses that require a long-term view on operations, forecasting also offers an essential benchmark.
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there were twice as many four-door cars as two-door cars in the parking lot. there were 36 cars in the lot. how many had four doors? how many had two doors?
the number of two door cars in the parking lot is 12 and the number of four door cars in the parking lot are 24.
We are given that the number of four door cars in a parking lot is equal to twice the two door cars.
Let the two door cars be x
Four door cars = 2 x
Also, we are given that total cars = 36
So, we get the equation:
x + 2 x = 36
3 x = 36
x = 36 / 3
x = 12
Two door cars = x = 12
Four door cars = 2 x = 2 ( 12) = 24
Therefore, we get that, the number of two door cars in the parking lot is 12 and the number of four door cars in the parking lot are 24.
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Explain the three reporting options in sap erp. how are these different from each other? how are these different from the reporting options available in sap bi?
There are three reporting sections
First section Second section Third sectionHow do these contrast with the reporting choices offered by SAP Bi?Part One:
The following three reporting options are available in SAP ERP:
General Reports: These reports are pre-delivered by SAP and are made available in several regional formats to aid with basic HCM reporting. InfoSet (Ad-hoc)
Query Tool: This sophisticated tool can be used to answer one-time queries about SAP HR (Ad Hoc) or different info types of data that are accessible in SAP applications
Custom ABAP Reports: These are programs created by SAP developers using the ABAP programming language.
Second Section
Custom ABAP Reports General Reports InfoSet (Ad-hoc) Query, Tool
Pre-delivered SAP reports in multiple regions in the format that is accessible to assist with basic HCM reporting Don't need to be developed. Possess intricate developments. Can be transformed into an SAP query It is impossible to convert a query to SAP. Because it is unrelated to the ABAP workbench, content or output format cannot be modified.Third Section
The following are some of the reporting possibilities offered by SAP BI:
I Demand-driven BI. SAP dashboards, in Standard reports for SAPBusiness One, are Drag and relate Options for reporting in SAP ERPTransaction processing is done using them. Reports are only two-dimensional.To learn more about SAP Bi, visit:
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Anthoy drew a pentagon with each side measuring 6inches. carol drew a hexagon with each side measuring5 inches which shape has a greater perimeter? write an equation to help explain your answer
Both the shapes will have the same Perimeter.
It is given that :
Anthony drew a pentagon whose each side measures 6inches
Whereas, Carol drew a hexagon whose each side measures 5inches
The formula to calculate the Perimeter of the Pentagon is: 5*a
and, the formula to calculate the Perimeter of the Hexagon is: 6*a
In the given formulas, 'a' represents the measure of the side for both the Pentagon & Hexagon.
Calculating, Perimeter of Pentagon P1 = 5 * a, where a = 6 inches
=> P1 = 5*6 => P1 = 30inch
Calculating, Perimeter of Hexagon P2 = 6*a, where a = 5 inches
=> P2 = 6*5 => P2 = 30inch
We get P1 = P2
Hence, Both the Pentagon & the Hexagon have equal Perimeters of 30inch
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Cailyn is packing 1-centimeter cubes into a prism. What is the volume of the prism.
If Cailyn is packing 1-centimeter cubes in a prism of same dimensions and in the same manner as as shown in the figure attached, where Joe is packing 1-centimeter cubes into the prism, then the volume of the prism is 210 cm³.
As per the question statement, Cailyn is packing 1-centimeter cubes in a prism of same dimensions and in the same manner as as shown in the figure attached, where Joe is packing 1-centimeter cubes into the prism.
We are required to calculate the volume of the prism.
As we can see from the reference diagram attached hereby, our prism can hold a 7 cubes along its length, 6 cubes along its width and 5 cubes along its height.
And since the constituent cubes are all identical and of volume 1 cm³, it means that all the dimensions (length, width and height) of each of the constituent cubes is 1cm.
Therefore, length of our prism [tex]=(7*1)=7[/tex] cm,
Width of our prism [tex]=(6*1)=6[/tex] cm,
And, height of our prism [tex]=(5*1)=5[/tex] cm.
Therefore, volume of our prism = (length * width * height)
[tex]=(7*6*5)\\=(42*5)\\=210[/tex]
Volume: Volume is a measure of space occupied by three-dimensional objects, that is enclosed within a container in the case of fluids.To learn more about Volume, click on the link below.
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PLEASE HELP ASAP. I am stuck
a. how far is the delivery from the starting point in miles
b. which vehicle would take longer to finish the delivery, the car or the truck
and how much longer would the faster vehicle be than the slower one.
Please explain why
Part A
Answer: 360 milesReason:
The graph shows the highest point occurs when y = 360. After this point, the truck turns around to go back to the starting point (the warehouse perhaps).
In other words, the truck starts at y = 0 when it's at the warehouse. It travels 360 miles to reach the customer, which is represented as the highest point of the V shaped curve. This process takes 6 hours.
Then another 6 hours elapses when the truck drives back to the warehouse. We assume the same route is used, and similar traffic conditions occur for each leg of the trip.
============================================================
Part B
Answer: The truckReason:
The graph shows that the truck takes 12 hours to get back to the warehouse. We look at the x intercept because this is when the distance from the start is back to y = 0 again.
Now we need to find out how long the car takes on its trip.
We'll plug in y = 0 into the car's equation and solve for x.
y = -72|x-5| + 360
0 = -72|x-5| + 360
72|x-5| = 360
|x-5| = 360/72
|x-5| = 5
x-5 = ± 5
x-5 = 5 or x-5 = -5
x = 5+5 or x = -5+5
x = 10 or x = 0
x = 0 or x = 10
This tells us that the car is at the warehouse when x = 0 and when x = 10.
Therefore, the car takes 10 hours to do a round trip, and it's the faster vehicle.
Use the number line below, where RS = 4y+4 , ST=3y+4 , and RT=43. a. What is the value of y? b. Find RS and ST.
Ignore the equation on the top just use the number line
Answer: a. y=5
b. RS=24, ST=19
Step-by-step explanation:
a. RT=RS+ST
43=4y+4+3y+4
43=4y+3y+4+4
43=7y+8
7y=35
y=5
b. RS=4y+4
RS=4(5)+4
RS=20+4
RS=24
ST=3(5)+4
ST=15+4
ST=19