The required simplified value of the f⁻¹(f(x)) is given as x.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Property of function states that function of function would be x, if the last function is an inverse function of its substituting function or vice versa. So,
f⁻¹(f(x)) = f(f⁻¹(x)) = x
Thus, the required simplified value of the f⁻¹(f(x)) is given as x.
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Solve the following equation to determine the value of x: 3x + (x + 10) + 5x + (2x + 2) = 56
Answer:
I think x = 4.
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3x + x +10 + 5x + 2x + 2 =56
(3x + x + 5x + 2x) + (10 + 2) = 56 (Combine Like Terms)
11x + 12 = 56
11x + 12 = 56
Step 2: Subtract 12 from both sides.
11x + 12 − 12 = 56 − 12
11x = 44
Step 3: Divide both sides by 11.
11x/11 = 44/11
x = 4
Solve the inequality. Graph the solution.
d+12<19
The solution is
Answer:
d<7
Step-by-step explanation:
What is the circumstance of the circle
Answer:
c=pie r squared is the equations and the answer is 50.27
Step-by-step explanation:
Hi if i have 8,000 saving for 12,000 how much more do i need?
Answer: 4,000
Step-by-step explanation: 12,000 - 8,000 = 4,000 Hope it helped!! :)
Which fraction and decimal forms match the long division problem? A. B. C. D.
Answer:
C 4/15 and 0.266 repeating
Step-by-step explanation:
I used a calculator
A function is graphed below.
Which of the following represents the range of the function?
Answer:
el ranho de algo que esm ansgwne
Which situation describes a real-life rate?
Your uncle buys 2 gallons of milk and uses
of the milk to bake a cake.
O The computer has been on for 1.5 hours.
O A basketball player runs 10 feet down the court in 2 seconds.
O You run 2 miles on Monday, 3 miles on Tuesday, and 2 miles on Thursday.
Answer:
The computer has been on for 1.5 hours
Which number has a 3 that is 1/10 the value of the 3 in 14.37 ?
Answer:
0.3
Step-by-step explanation:
PLEASE HELPPPPP
Find the sale price of the item. Round to two decimal places if necessary.
Original price: $208.34
Markdown: 72%
what is the sale price
How many moles are in 4.23 x 1024 formula
units of NaCl
Answer:
mol Fe3O4 6.022 x 1023 formula units Fe3O4 = 1.20 x 1024 formula units Fe3O4. 1 mol ... a-How many moles of sodium chloride does the can of salt contain?
Step-by-step explanation:
There are approximately 7.035 moles of NaCl in 4.23 x 10²⁴ formula units of NaCl.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
An expression is 4.23 x 10²⁴
To determine the number of moles of NaCl in 4.23 x 10²⁴ formula units of NaCl:
We need to use Avogadro's number, which is defined as the number of particles (such as atoms, molecules, or ions) in one mole of a substance. Avogadro's number is approximately 6.022 x 10²³ particles per mole.
To convert the given number of formula units of NaCl to moles, we divide by Avogadro's number:
Number of moles of NaCl = (4.23 x 10²⁴ formula units of NaCl) / (6.022 x 10²³ formula units/mol)
Number of moles of NaCl = 7.035 moles (rounded to three decimal places)
Therefore, the required value is 7.035 moles.
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Help guys, I’m sure it’s easy for y’all
Answer:
(x, y) -------- ( -x,-y)
Rule : Rotation center (0,0) , angle of rotation 180° or -180°
Step-by-step explanation:
The vertices of the object and image have coordinates at ;
D(-4,2), --------D'( 4,-2 ),
E (-1,3), --------E'( 1,-3 ),
F (-1,-3),--------F'(1,3),
G (-3,-4),------G'( 3,4 ),
You notice that after the rotation ;
( x, y )-------change to (-x,-y),
This rule is rotation center origin angle 180°
What is the slope?
What is the y intercept?
What is the equation of the line written in slope-intercept from?
Answer:
Step-by-step explanation:
As we move along the graph from x = 2 to x = 3 (a change of 1), y decreases from y = 100 to y = 0 (a change of -100). Thus, the slope of this line is
m = rise / run = -100/1 = -100.
The y-intercept is the point where the graph crosses the y-axis, and is (0, 200).
The equation of this line in slope-intercept form is y = -100x + 200
What’s is the slope?
Answer: 1/2
Step-by-step explanation:
y=1/2x-3
y ≥ 12x – 1
y < 43x – 2
Answer:
Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.
Step-by-step explanation:
Use the equation and given point to answer the questions below. The equation of line a is y=12x−1, and it passes through point (6,2).
Profit is the amount of money that remains after all expenses of a project have been paid. The year has just ended, and Ajax Construction's owner is anxious to find out if the company had a profitable year. The company was awarded five contracts totaling $7,435,000. The costs associated with each project were: Project 1: $1,245,000 Project 2: $985,689 Project 3: $1,723,000 Project 4: $2,567,054 Project 5: $633,768 How much profit did the company earn?
Answer:
the Profit earned by the company is $280,489
Step-by-step explanation:
Total Cost of 5 projects awarded = $7,435,000
Cost of Project 1 = $1,245,000
Cost of Project 2 = $985,689
Cost of Project 3 = $1,723,000
Cost of Project 4 = $2,567,054
Cost of Project 5 = $633,768
We need to find the profit earned by the company.
First we need to find Total cost spent on all 5 projects.
It can be found by adding cost spent on all projects.
Total cost spent on all 5 projects = Cost of Project 1 + Cost of Project 2 + Cost of Project 3 + Cost of Project 4 + Cost of Project 5
Total cost spent on all 5 projects = $1,245,000+ $985,689 + $1,723,000+ $2,567,054 + $633,768
Total cost spent on all 5 projects = $7,154,511
Now we can calculate profit earned using formula:
Profit earned = Total Cost of 5 projects awarded - Total cost spent on all 5 projects
Profit earned = $7,435,000 - $7,154,511
Profit earned = $1,280,489
So, the Profit earned by the company is $280,489
Defects in computer hard-drives will usually render the entire computer worthless. For a particular model, the percent defective in the past has been 1%. If a sample size of 400 is taken, what would the 95.5% lower control chart limit be?
Answer:
0.00005
Step-by-step explanation:
We have the average fraction defective as p = 1%
= 0.01
N = 100
Then 95.5% deviation = 2σ
From there we have,
σ = √p*(1-p)/n
When we input these values, into the formula, we will have
σ = √0.01(1-0.01)/100
= √0.01(0.99)/100
= √0.000099
= 0.00995
The LCL = p - 2σ
= 0.01 - 0.00995
= 0.00005
lower control chart limit be is 0.00005
The 95.5% lower control chart limit be is 0.0005.
Given,
The average fraction percent in the past defective as p = 1% = 0.01
Sample size N = 400
Then ,
According to the question ,
95.5% deviation = 2x
We have,
x = [tex]\frac{\sqrt{p (1-p)} }{n}[/tex]
We put these values, into the formula,
x = [tex]\frac{\sqrt{0.01 ( 1 - 0.01) } }{400}[/tex]
= [tex]= \frac{\sqrt{(0.01) (0.99)} }{400}[/tex]
= [tex]\frac{0.99}{400}[/tex]
= 0.0000245
The LCL = p - 2x
= 0.01 - 0.0000245
= 0.00005
The Lower control chart limit be is 0.00005
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Which of the following does not state a principle related to why ground wires are an effective safety device? O A. Electronic devices are protected from power surges by having insulated wires. B. Electricity will travel more easily through metal than through insulators. C. When enough electricity builds up, it could pass through highly resistant materials to get to the Earth. D. Electricity always wants to travel "downhill" toward the Earth.
A; electronic devices are protected from power surges by having insulated wires.
The option that does not state a principle related to why ground wires are an effective safety device is:
A. Electronic devices are protected from power surges by having insulated wires.
Insulated wires protect electronic equipment against power surges, however, this has nothing to do with the usefulness of ground wires as a safety precaution.
The idea of earth wires is to provide a safe conduit for electrical currents to go into the Earth, avoiding harmful electrical potential from building up.
Thus, options B, C, and D all state principles that are directly related to the effectveness of ground wires as a safety device.
Hence, the correct answer is A.
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What is the value of |5| - | -5| - (-5)? The solution is
Answer:
5
Step-by-step explanation:
when we simplify it we get 5-5+5 which equals 5
A family went to a baseball game. They spent $25 to park the car in a parking lot and $24 per ticket. Which equation represents x, the total number of people going to the baseball game if the family spends y, $145 total?
which of the following sets of numbers could represent the three sides of a triangle?\
{10,21,32}
{13,17,32}
{14,24,40}
{13,16,27}
Answer:
14,24,40
Step-by-step explanation:
u cute
Answer:25 = 25 Right Triangle. 3, 7 and 9 Squaring each side = 9, 49 and 81. sum of the squares of the short sides = 9 + 49 = 58. 58 < 81 Obtuse Triangle. For determining if the 3 sides can even form a triangle, the triangle inequality theorem states that the longest side must be shorter than the sum of the other 2 sides.
Step-by-step explanation:
Does the point (8,0) lie on the line represented by 3x + 2y = 16?
O True
False
Answer:
false
Step-by-step explanation:
(0,8) is on the line, not (8,0) :)
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(a) In the scale model, the length of the table is 9
centimeters. What is the length of the real table?
inches
Answer:Use the map of Maine to estimate the distance between the towns of China and New ... Since there are 4.5 centimeters between China and New Sweden, we can use a ... The scale model is a model of an object with dimensions that are in ... The child's picnic table is 22 inches tall, and the adult picnic table is 33 inches tall.
Step-by-step explanation:
help with this homework question pleaseeee
Answer:
b
Step-by-step explanation:
then it would be sss
What is the purpose of the periodic interest rate? (2 points)
a for borrowers to compare the rates between different loans
b for lenders to compare the interest rates between different investments
c to determine the amount of interest charged during a specific time frame
d to determine the minimum payment of a credit card
Answer:
The Answer is to determine the amount of interest charged during a specific time frame
Step-by-step explanation:
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Identify a diameter of circle E.
Answer: B) HI
Step-by-step explanation:
Help help help help
Answer: The solution to this is y=10x-4
Step-by-step explanation:
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Jeff's father is planning to open a savings account to pay for Jeff's college education. He has found a bank that will pay 5 percent interest compounded daily. How much will he need to deposit initially so that in 14 years the balance will be $199,000?
Answer:
P = $183.14
Step-by-step explanation:
Given:
Rate of interest = 5% daily =0.05
Number of year = 14
Balance = $199,000
Computation:
Assume;
Number of days in a year = 365
199,000 = p[1+(0.05/365)]¹⁴⁽³⁶⁵⁾
199,000 = p[1+(0.001369)⁵¹¹⁰
199,000 = p[1086.59]
P = $183.14
Write an equation in slooe intercept form for the line that is parallel to y=-4x-3 and passes through the point (-2, 4).
Answer:
y=-4x-4
Step-by-step explanation:
m=-4
point(-2,4)
y-4 = -4 (x- (-2) )
y-4 = -4 (x+2)
y-4 = -4x -8
y = -4x -4
Step-by-step explanation:
we are going to use quadratic equation for this particular question . so now we are going to change the signs i.e from negative to positive or from positive to negative(-2 will turns to +2) nd +4 will turns to-4)
therefore, (x+2)(x-4) then we na expand the bracket x(x-4)+2(x-4)
x square -4x+2x-8
therefore the equation is nothing but x square-2x-8
please help me thanks
