The sum of two functions, f and g: (f + g)(x) = f (x) + g(x) and The difference of two functions f and g: (f - g)(x) = f (x) - g(x).
What is operation function ?
The operations function refers to all the activities that focus on producing goods and services for the customers. It includes the production process of converting raw material into final products. It helps to reduce costs and make process improvements.
Have given ,
Two function f and g then ,
There is one more way that functions can be combined. The fifth operation is called the composition of two functions. The composition of the functions f (x) and g(x) is symbolized this way: (fog)(x). It is equivalent to f (g(x)). It is read "f of g of x." The concept is simple. First, the value of g at x is taken, and then the value of f at that value is taken. Let's try an example to clear things up.
So , The sum of two functions, f and g: (f + g)(x) = f (x) + g(x) and The difference of two functions f and g: (f - g)(x) = f (x) - g(x).
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Part A) based on your answer to answer to part a, are there any values that can be eliminated from the solution set
The values that can be eliminated from the solution set of the inequality are given as follows:
Values of x ≤ 0.
How to calculate the perimeter of a rectangle?The perimeter of a rectangle of length l and height h is given by the formula presented as follows:
P = 2(l + h).
The dimensions for this problem are given as follows:
Length l = x + 4.Height h = x.The perimeter must be less than 120, hence the inequality is given as follows:
2(x + 4 + x) < 120
4x + 8 < 120
4x < 112
x < 28.
However, a side length must assume positive values, meaning that values of x ≤ 0, that is, zero and negative values, are eliminated from the solution.
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Find m (angle) 1 . Then classify the triangle by its angles.
M (angle) 1 =
Answer:
60 degrees and an equilateral triangle
Step-by-step explanation:
every triangle adds to 180 degrees
add 60+60=120
180-120=60 to find remaining angle
all angles are the same which makes all sides the same: equilateral
Answer:
1 =60
Step-by-step explanation:
a+b+c=180
60+60+c=180
120+c=180
-120. -120
c=60
Show all work to multiply quantity 2 plus the square root of negative 25 end quantity times quantity 4 minus the square root of negative 100 end quantity
Answer:
[tex](2+\sqrt{-25} ) * (4-\sqrt{-100})[/tex]
(2 + 5i)(4 - 10i), which is 58
58 is your answer
Step-by-step explanation:
Answer:
Hey :))
Step-by-step explanation:
(2 + 5i)(4 - 10i), which is 58
I hope this helps you!!
A box of cereal states that there are 87 calories in 3/4 cup serving? How many calories are in two cups of cereal?
Roxanne is comparing the monthly payments for a new car at two different car dealerships.
Dealership A: The car costs $30,000, and the loan has an annual interest rate of 4.8%.
Dealership B: The car costs $29,800, and the loan has an annual interest rate of 5.4%.
Use the formula to determine the monthly payment for each dealership.
Assume that both interest rates are compounded monthly, there is no down payment, and each loan is for 60 months.
9514 1404 393
Answer:
A: $563.39
B: $567.84
Step-by-step explanation:
The attached shows the formula. The graphing calculator evaluates it for the different car choices.
The monthly payment for the car from Dealership A is $563.39.
The monthly payment for the car from Dealership B is $567.84.
Which function has an asymptote at x = pi?
A. y=sec x
B. y=tan x
C. y=csc x
D. y=cos x
Answer:
C. y = csc x
Step-by-step explanation:
--------------------
Answer:
y=sec x
Step-by-step explanation:
this is the correct answer, i put in the other persons answer and got it wrong
A hurricane blows onto the East Coast of the United States on September 16, 2017. The maximum sustained wind speed is 176 kilometers (109 miles) per hour and the sea level height is pushed 2.3 meters (7.5 feet) above normal. What category is this hurricane
This hurricane would be classified as a Category 2 hurricane on the Saffir-Simpson Hurricane Wind Scale.
What hurricane classification is this?This hurricane would be classified as a Category 3 hurricane. The Saffir-Simpson Hurricane Wind Scale is used to classify hurricanes based on their maximum sustained wind speeds.Category 3 hurricanes have wind speeds between 178 and 209 kilometers (111 and 130 miles) per hour.The maximum sustained wind speed of this hurricane is 176 kilometers (109 miles) per hour, which is below the threshold for Category 4 hurricanes, but still within the range of Category 3 hurricanes. The storm surge is also a major factor in the classification of hurricanes. Storm surges are caused by the winds of a hurricane pushing the water of the ocean up onto the coast.This hurricane has a storm surge of 2.3 meters (7.5 feet).The Saffir-Simpson Hurricane Wind Scale does not take into account the height of storm surges. Therefore, this hurricane would be classified as a Category 3 hurricane due to its maximum sustained wind speed of 176 kilometers (109 miles) per hour and the storm surge of 2.3 meters (7.5 feet).The Saffir-Simpson Hurricane Wind Scale is a useful tool for measuring the severity of a hurricane and can help to prepare people in its path.To learn more about the Saffir-Simpson Hurricane Wind Scale refer to:
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A new social media site is increasing its user base by approximately 5% per month. If the site currently has 27,870 users, what will be the approximate user base be 6 months from now?
Answer:
37,349
Step-by-step explanation:
month 1
27870 x .05 = 1394
27870 + 1394 = 29264
month 2
29264 x .05 = 1463
29264 + 1463 = 30727
month 3
30727 × .05 = 1536
30727 + 1536 = 32263
month 4
32263 x .05 = 1613
32263 + 1613 = 33876
month 5
33876 x .05 = 1694
33876 + 1694 = 35570
month 6
35570 x .05 = 1779
35570 + 1779 = 37349
Answer:
35,570
Step-by-step explanation:
solution 1 - Multiply by 5%, 6 times. Easter to calculate without a calculator, long process.
1. 27870*1.05= 29,263.5
2. 29263.5*1.05=30726.675
3.repeat
4.repeat
5.repeat
6.repeat
if it's hard for you to multiply by 1.05, you can always divide by 20 or divide by 10 then by 2 (like the below)
1. 27870÷10= 2,787
2. 2787÷2= 1393.5
3. 27870+1393.5 = 29263.5
solution 2 -Fast but probably needs a calculator
1. 27870*1.05^(5)= 35570
1.05 = monthly increase
power of 5 = ^(5) = 6 months - 1 = 5
On the cone below, the length of Line C B is 6 inches. A cone. C D is the diameter, C B is the radius, and A B is the height. What is the length of the diameter of the cone? 3 inches 6 inches 12 inches 24 inches
Answer:
12 inchesStep-by-step explanation:
Find the diagram attached;
Given the length of the line CD as 6inches.
Note that line CD is the base radius of the cone;
Since radius = Diameter/2
CD = diameter/2
6 = diameter/2
Diameter = 6 * 2
Diameter = 12 inches
Hence the length of the diameter of the cone is 12 inches
Answer:
12
Step-by-step explanation:
one more than 4 times a number is 14
Answer:
13 / 4 ( or ) 3.25
Step-by-step explanation:
Let the number be x.
4 times a number means,
4 ( x ) = 4x
One more than 4 times a number means,
4x + 1
One more than 4 times a number is 14,
4x + 1 = 14
4x = 14 - 1
4x = 13
x = 13 / 4
( or )
x = 3.25
Therefore, the number is 13 / 4 ( or ) 3.25
Someone help me pleaseeee
Answer:
1/5
Step-by-step explanation:
formula is y = kx
k is the constant of proportionality
when x is 5 y is 1
when x is 10 y is 2
so 1 = k * 5
so k = 1/5
A particle moves along the x-axis so that at time
t
≥
0
t≥0 its position is given by
x
(
t
)
=
t
3
−
6
t
2
−
29.
x(t)=t
3
−6t
2
−29. Determine the total distance traveled by the particle from
0
≤
t
≤
7.
0≤t≤7.
The total distance traveled from 0 ≤ t ≤ 7, considering the position function x(t) = t³ - 6t² - 29, is given as follows:
288.75 units.
How to obtain the total distance traveled?The position function for this problem is defined as follows:
x(t) = t³ - 6t² - 29.
The total distance traveled over an interval [a,b] is given by the definite integral of the function x(t) over the interval from x = a to x = b.
The definite integral in this problem is calculated as follows:
I = 0.25t^4 - 2t³ - 29t, from t = 0 to t = 7.
Applying the Fundamental Theorem of Calculus, the total distance is calculated as follows:
I = 0.25(7)^4 - 2(7)³ - 29(7) - (0.25(0)^4 - 2(0)³ - 29(0))
I = 288.75 units.
(which is the absolute value of the result of the definite integral).
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Paul took a 140 mile trip on his motorcycle. If he drove 60% of his trip on the first day, how many miles did Paul drive on day one? Answer value
Answer:
84 miles
Step-by-step explanation: 140/100 x 60 which gives you 84 miles
A line pae through the origin and through point A(−2, b í 14) and B(14 í b, 72). What i the greatet poible value of b?
The greatest poible value of b is (72-14)/(14-(-2))×(x+2)+14.
What is possible value?Possible value is the potential for something to have a particular outcome, result, or consequence. It is the amount of beneficial or desirable result that can be achieved, given the available resources. Possible value is often determined by assessing various factors such as cost, risk, and time. It is an important concept in economics, finance, and business, as it helps to identify the most beneficial course of action.
The greatest possible value of b is found by solving the equation of the line through A and B, which is y = (72-14)/(14-(-2))×(x+2)+14.
Setting the y-value to 0 and solving for x gives x = -14, which means b = 14. Therefore, the greatest possible value of b is 14.
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255 toothpicks in each box if 1 fifth of the total toothpicks are broken how many are not broken
Answer:
204 toothpicks
Step-by-step explanation:
255/5 = 51
51 times 4 = 204
If 8n + 25 = 65, then n is
a. 5.
648.
less than
of 45 is
b. 10.
C. 40.
8n + 25 = 65
8n = 65 - 25
8n = 40
8n/ 8 =40/8
n = 5..
firstly I made 8n the subject of the formula by taking 25 to the other side which gives u 8n = 65 - 25and the reason why the sign changed chnged os because when send a number to the other side the sign changes and then i divided both sides by 8
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
8 x 12 x 20 = 1920/2 = 960 cm^2
hope this helped
answer= 960
Step-by-step explanation:
what is the y intercept
Answer:
-1
Step-by-step explanation
-1 is where the line intersects the y-axis
someone help me pleaseee , whoever answers first i will mark as brainlyesy
Answer: the 1st one. can i get brainlist
Step-by-step explanation:
Answer:
Point form: (-6,15)
Equation Form: x = -6, y=15
Step-by-step explanation:
Which of the following statements are true about line segments?
Which of the following statements are true about line segments
Answer: that connect two endpoints
Determine the volume of the right cylinder
-4.2 ft
12.3 ft
A. 324.59 ft.
B. 1.996.22 ft
C. 681.64 ft
D. 2.726.55 ft.
a group of five people can do a piece of work in 6 hours calculate the time a group of 8 people will take to complete the same work
Answer:
3.75 hours
Step-by-step explanation:
Total time needed
5 * 6 = 30 hours
with 8 people
30/8 = 3.75 hours
Ricardo is 30 years old. He plan to retire when he is 60. He has opened a retirement account that pays 3,5% interest compounded monthly. If he makes monthly
deposits of $400, how much will he have in the account by the time he retires?
9514 1404 393
Answer:
$254,165
Step-by-step explanation:
Assuming payments are made to the account at the end of the month, the balance is the sum of a geometric series with first term 400 and common ratio (1+0.035/12). The sum of 360 payments will be ...
400((1+0.035/12)^360 -1)/(0.035/12) ≈ $254,165
Ricardo will have about $254,165 in his retirement account after 30 years.
A boat moving at a constant rate will travel 26 miles in 2 hours. If the boat maintains this rate, how many miles will the boat travel in 5 hours?
Given:
A boat moving at a constant rate will travel 26 miles in 2 hours.
To find:
The distance that will the boat travel in 5 hours.
Solution:
It is given that,
The distance traveled by the boat in 2 hours = 26 miles
The distance traveled by the boat in 1 hour = [tex]\dfrac{26}{2}[/tex] miles
= [tex]13[/tex] miles
The distance traveled by the boat in 5 hour = [tex]5\times 13[/tex] miles
= [tex]65[/tex] miles
Therefore, the boat will travel 65 miles in 5 hours.
15. Find the lengths of the sides of the kite KITE. (Answer in simplest radical form and show work)
The lengths of the sides of the kite LM is 13√2.
How does Pythagoras' rule work?According to the Pythagorean theorem, the hypotenuse of a right-angled triangle's other two sides add up to a square whose length equals the hypotenuse's.
The hypotenuse (longest side) of a right-angled triangle's square is equal to the sum of its other two sides, according to the Pythagoras theorem (base and perpendicular). Hypotenuse2 = Base2 + Perpendicular2 is how this is expressed. A2 + B2 = C2 is the formula for the hypotenuse.
According to question:-
LM = 13√2
Hypotenuse = Base 2 + Perpendicular 2.
So,
LM = √7² + 17²
LM = √49 + 289
LM = √338
LM = 13√2.
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mm 7 You have a part-time job that pays $4.75/hr with tips averaging $4.50/hr. Your deductions are FICA (7.65%), federal tax withholding (12.5%), and state tax withholding (6.85%). You work 20 hours per week.
3. You want to save $40.00/wk, how much is left of your discretionary income per week? Assume that all of the income from your part-time job is discretionary. (1 point) $ wk
4. You decide to save 15% of your realized income. How much do you save per month? (1 point) $ /month
Answer:
95.05
81.03
Step-by-step explanation:
Answer:
Gross weekly income:
20(4.5 + 4.75) = $185.00Deductions:
180(12.5 + 7.65 + 6.85)/100 = $48.60Net weekly income:
185 - 48.60 = $136.403.
Saving $40, the amount left per week:
136.40 - 40 = $96.404.
Saving 15%, the amount saved per month (4 weeks):
136.40*0.15*4 = $81.84The numerator of a fraction is 2 less than its denominator. If 3 is subtracted from the numerator and from the
denominator, the new fraction obtained is. Find the fraction.
A set of multimedia equipment costs $1900, By setting up an inequality, find the maximum number of sets of
The Fraction for the given word problem is x/y = 9/11
What is Fraction?A fraction, which derives from the Latin word fractus, meaning "broken," is a portion of a whole or, more broadly, any number of equal parts. A fraction, such as one-half, eight-fifths, or three-quarters, indicates the number of parts of a particular size when it is used in everyday speech.
Let the fraction be x/y
The numerator of a fraction is 2 minus its denomination.
⇒ x = y - 2 .....(i)
When 3 is subtracted from numerator and from denomination the new fraction obtained is 3/4
⇒ x - 3/y - 3 = 3/4
Can also be written as
⇒ 4(x + 3) = 3(y - 3)
⇒ 4x - 12 = 3y - 9
⇒ 4x - 3y = -9 + 12
⇒ 4x - 3y = 3 .....(ii)
Substitute the value of (i) in (ii)
⇒ 4x - 3y = 3
⇒ 4(y - 2) - 3y = 3
⇒ 4y - 8 - 3y = 3
⇒ y - 8 = 3
⇒ y = 3 + 8
⇒ y = 11
Putting the value of y in (i).
⇒ x = y - 2
⇒ x = 11 - 2
⇒ x = 9
Hence, Fraction = x/y = 9/11
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What are the worst and best time complexity and the best and worst time input given to sort a set of elements using bubble sort?
With a temporal complexity of O(n2) in the average and worst circumstances, and O(n) in the best case, Bubble Sort is a simple, reliable sorting algorithm.
what is algorithm ?A mathematical algorithm is a process that describes a series of steps that can be used to accomplish a mathematical computation. A typical illustration of a mathematical algorithm would be the step-by-step process used in long division. Integral calculus and differential calculus are the two varieties of calculus. These fields work together to let you calculate rate of change, a crucial component of many algorithms and programs. Particularly crucial are differential equations.
given
With a temporal complexity of O(n2) in the average and worst circumstances, and O(n) in the best case, Bubble Sort is a simple, reliable sorting algorithm.
The outer loop, in the worst case, executes O(n) times.
Therefore, bubble sort's worst-case time complexity is O(n x n) = O(n x n) (n2).
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If the length of a rectangle is doubled, and its width is multiplied by 4, the area
of the rectangle is multiplied by —
Answer:
The area would be multipled by 8
Step-by-step explanation:
Say you have a rectangle with the length of 5 and the width of 3, the area would be 15. Double the length, 10, and quadruple the width, 12. The area would be 120. 15 × 8 = 120.
Sorry if I'm wrong.
How do you prove inverse?
To prove the inverse :
In the equation expressing the function, swap out f(x) for y.Swap out x and y. To put it another way, swap out every x for a y and vice versa.Solve for y.Change y to [tex]f^{-1}[/tex] (x).You assemble the functions (that is, insert x into one function, plug that function into the suggested inverse function, then simplify) and check that you end up with simply "x" to establish (or refute) that two functions are the inverses of one another. The functions are inverses if you get x; otherwise, they are not.
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