1. Determine (with a proof or counterexample) whether the arithmetic function f(n) = nn is multi- plicative, completely multiplicative, or neither.
Answers
The arithmetic function f(n) = nn is neither multiplicative nor completely multiplicative.
To determine whether an arithmetic function is multiplicative or completely multiplicative, we need to check its behavior under multiplication of two coprime numbers.
Let's consider two coprime numbers, a and b. Multiplicative functions satisfy the property f(ab) = f(a)f(b), while completely multiplicative functions satisfy the property f(ab) = f(a)f(b) for all positive integers a and b.
For the arithmetic function f(n) = nn, we have f(ab) = (ab)(ab) = aabbbb ≠ (aa)(bb) = f(a)f(b). Hence, f(n) = nn is not multiplicative.
To check if it is completely multiplicative, we need to show that f(ab) = (ab)(ab) = (aa)(bb) = f(a)f(b) for all positive integers a and b. However, this is not true in general. For example, let's consider a = 2 and b = 3. We have f(2 * 3) = f(6) = 36 ≠ (22)(33) = f(2)f(3). Therefore, f(n) = nn is not completely multiplicative either.
In conclusion, the arithmetic function f(n) = nn is neither multiplicative nor completely multiplicative.
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Related Questions
HURRYYYYY
Which of the following is an example of a
quadratic expression?
2x - 5
x² + 3x - 6
x² - 4x² +7
+2
X
А
Answers
Answer:
B is correct.
Step-by-step explanation:
Quadratic Expression (Standard Form) is:
\( \displaystyle \large{a {x}^{2} + bx + c}\)
To say it simply, the expression must have 2 as the highest degree.
This means that if there are any higher or lower degrees than 2 then they are not quadratic expression.
A choice is not quadratic expression because it has 1 as the highest degree.
B choice is correct because 2 is the highest degree.
C choice is wrong because 3 is the highest degree.
D choice is wrong because it is not a polynomial.
Therefore, B is correct.
what is the measure of angle OAC
Answers
Answer:
60
Step-by-step explanation:
which of the following statements are true
A tangent line is perpendicular to the radius of a circle at the point of tangency.
A tangent line is perpendicular to the diameter of a circle at the point of tangency.
A tangent line is the perpendicular bisector of the radius of a circle.
A tangent line intersects a circle at one point.
A tangent line intersects a circle at two points.
Every circle has exactly one tangent line to that circle.
Answers
The tangent line and radius or diameter of the circle intersect at a right angle and the tangent intersects the circle at a single point only. Then the correct option is A, B, and D.
What is a circle?It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The tangent line and radius or diameter of the circle intersect at a right angle.
And the tangent line intersects the circle at a single point only.
The number of the tangent line depends on the point from which the tangent is drawn.
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If 2i is a zero of f(x)=x^4+x^2+a, find the value of a
Answers
By the polynomial remainder theorem, because x = 2i is a zero of f(x), we have no remainder upon dividing f(x) by x - 2i.
Computing the quotient yields
\(\dfrac{x^4+x^2+a}{x-2i} = x^3+2ix^2-3x-6i+\dfrac{12+a}{x-2i}\)
Then if the remainder term is 0, follows that a = -12.
If 2i is a solution to f(x) = \(x^4\) + x² + a, then substituting 2i into the function yields f(2i) = 12 + a and to make this true since 2i is a solution, a must be -12.
We have,
Function:
f(x) = \(x^4 + x^2 + a\)
Calculate f(x) at x = 2i :
\((2i)^4 = 2^4 \times i^4\)
= 16 * (i²)²
= 16 * (-1)²
= 16 * 1
= 16
Calculate (2i)²:
(2i)² = 2^2 * i² = 4 * (-1) = -4
Now we can substitute these values into the function f(x) = \(x^4\) + x² + a:
f(2i) = \(2i^4\) + (2i)² + a
= 16 - 4 + a
= 12 + a
Since you mentioned that 2i is a solution to the function f(x), it means that f(2i) should equal 0:
f(2i) = 0
12 + a = 0
Solving for 'a':
a = -12
Thus,
The value of 'a' that satisfies the condition f(2i) = 0 is -12.
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e -2/3= 3/5
what is e
Answers
Answer:
19/15 or 1 4/15
Step-by-step explanation:
Step 1:
e - 2/3 = 3/5 Equation
Step 2:
e = 3/5 + 2/3 Add 2/3 on both sides
Step 3:
e = 9/15 + 10/15 Find common denominator
Answer:
e = 19/15 or 1 4/15
Hope This Helps :)
Answer:
19/15 or 1 4/15
Step-by-step explanation:
Common Denominator:
e - 10/15 = 9/15
Move:
e = 9/15 + 10/15
Solve:
e = 19/15
Solve the proportion. * X-3 5 8. X= (Type an integer or a an integer or a simplified fraction.)
Answers
We want to solve the proportion:
\(\frac{x-3}{x}=\frac{5}{8}\)For doing so, we remember that solving a proportion equivals to find the variable x. We will multiply means and extremes:
\(\begin{gathered} 8(x-3)=5\cdot x \\ 8x-24=5x \\ \text{Now, we solve for x:} \\ 8x-5x=24 \\ 3x=24 \\ x=\frac{24}{3}=8 \end{gathered}\)This means that the value of x is 8, which is the solution of the proportion.
I dont know what to do help please :(
Answers
Answer:
18x +48 +32 +12x30x +8010(3x +8)Step-by-step explanation:
You want three additional equivalent expressions to 6(3x +8) +32 +12x, one of which is the expression in simplest form.
Equivalent expressionsAny expression you write along the path to simplifying the given expression will be an equivalent. Here's one way to get three different expressions:
6(3x +8) +32 +12x . . . . . . given
18x +48 +32 +12x . . . . . . eliminate parentheses
30x +48 +32 . . . . . . . . . . combine x terms
30x +80 . . . . . . . . . . . . . . combine constants (2 terms)
We can write another equivalent by factoring out a common factor:
10(3x +8)
Select the possible dimensions of a rectangular prism with the volume of 72 m3.
2 m x 6 m x 7 m
3 m x 4 m x 6 m
3 m x 8 m x 4 m
9 m x 8 m x 1 m
12 m x 2 m x 3 m
Answers
Answer:
3m×4m×6m
9m×8m×1m
12m×2m×3m
Step-by-step explanation:
Just multiply the different values
Please help me !!!!!!!!!!!
Answers
Answer:
29
Step-by-step explanation:
You have 1,500 Kilometers and 32 15- kilometer races.
Step 1: Divide 1,500 by 15
step 2: Multiply the answer by 10
step 3:
please help asap !!!
Answers
Answer:
(2, 18) and (-3, -7)
Step-by-step explanation:
y = 5x + 8 Substitute the value for y into the second equation
-10x + 2y = 16
-10x + 2(5x + 8) = 16
-10x + 10x +16 = 16
16 = 16 True
These two equation are the same line. So pick one of the equation to check which ordered pairs are true solutions.
Using y = 5x + 8
(0, -6) -5 = 5(0) + 8 ; -6 = 8 No
(-1, 9) 9 = 5(-1) + 8; 9 = -5 + 8 ; 9 = 3 No
(2, 18) 18 = 5(2) + 8; 18 = 10 + 8 = 18; 18 = 18 Yes
( -3, -7) -7 = 5(-3) + 8; -7 = -15 + 8; -7 = -7 Yes
How does the graph of g(x) = -(x - 2)4 compare to the parent function of f(x) = x^4?
Answers
Answer:
flipped across the x-axis and translated to the left 2 units
Step-by-step explanation:
I attached a pic to show u !! Blue is the parent function and red is the other equation so it's easy to see how they compare to one another.
how to read a function different from the parent
that negative in front of the (x-2)^4 gets distributed and the equatuin will then look like (-x+2)^4that negative in the front means to flip the proabla on the axis !! and the +/- will tell u how it will be translated by however many units keep in mind u go the opposite of this sign inside the parenthesis. so for example if it's - 2 ur not going to go to the left 2 units you're going to go to the RIGHT 2 units and vice versa!! another thing remember that if it's inside the parenthesis it's the x-axis !! if outside then it's y-axis example: (3+4)^4+3 look inside the parenthesis, that tells me that it's not going to flip on the x axis cause and im going to translate to the left 4 units ! cause remember u go the opposite.and that +3 will tell me to go UP 3 units and that tells me how to translate on the y axis!! I gave u extra info im very sorry i just wanna help as much as possible and I hope this helps !!A. Suspect's favorite hobby can be found by solving the problems
below. Use the code cracker to convert the your answers to
letters, then unscramble to reveal the final clue! Use the
information below to answer questions A - G.
ONLY NUMBER 4
Answers
Answer:
A. 3 can't see b c d e f g
Step-by-step explanation:
3.5/2=1.75
5.25/1.75=3
use a sample with a mean of 145 lb a size of 16 and a standard deviation of 16 lb
Answers
Given a sample with a mean of 145 lb, a size of 16, and a standard deviation of 16 lb, we can analyze the sample using statistical measures such as the mean and standard deviation to understand the characteristics of the data.
The mean, also known as the average, is calculated by summing up all the values in the sample and dividing by the sample size. In this case, the mean is 145 lb.
The standard deviation measures the dispersion or spread of the data points around the mean. It quantifies the variability within the sample. A higher standard deviation indicates a greater spread of values. In this case, the standard deviation is 16 lb.
These statistical measures help us understand the central tendency and variability of the sample data. The mean of 145 lb indicates the average weight within the sample, while the standard deviation of 16 lb suggests that the weights in the sample are spread out around the mean. This information can be useful for making comparisons, identifying outliers, or conducting further statistical analysis.
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Please help me I’ll mark brainliest:)
Answers
Answer:
x = 4
Step-by-step explanation:
explanation: use the pythagorean theorem.
5^2= x^2 + 3^2
25=x^2+9
16=x^2
x=4
The table below represents a quadratic function. Use the data in the table to
determine the domain and range of the function.
x
-1
0
1
4
y
5
3
5
35
Answers
The domain is all real numbers and the Range is y ≥ 3.The correct answer is option A.
To determine the domain and range of the quadratic function based on the given table, let's analyze the values.
Domain represents the set of possible input values (x-values) for the function.
Range represents the set of possible output values (y-values) for the function.
From the given data:
x = -1, 0, 1, 4
y = 5, 3, 3, 5, 35
Looking at the x-values, we can see that the function has values for all real numbers. Therefore, the domain of the function is "all real numbers."
Now, let's consider the y-values. The minimum value of y is 3, and there are no y-values less than 3.
Additionally, the maximum value of y is 35. Based on this information, we can conclude that the range of the function is "y ≥ 3" since all y-values are greater than or equal to 3.
Therefore, the correct answer is:A. Domain: all real numbers
Range: y ≥ 3
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The probable question may be:
The table below represents a quadratic function. Use the data in the table to determine the domain and range of the function.
x= -1,0,1,4
y= 5,3,3,5,35
A. Domain: all real numbers Range: y ≥3
B. Domain: all real numbers
Range: x≥0
c. Domain: all real numbers
Range: y ≥0
D. Domain: all real numbers
Range: y ≤3
What is a nonlinear graph called?
Answers
Any function whose graph is NOT a line is said to be nonlinear. It has the equation f(x) = ax + b. With the exception of the form f(x) = ax + b, its equation can take any form. Any two points on the curve have the same slope.
To ascertain whether a table of values is a linear function, follow these steps:
Find the variations between each pair of x numbers that follow.Find the variations between each pair of y values that follow.Discover the matching ratios between y and x differential amounts.Only the function is linear if all ratios are NOT equal.Learn more about graph Visit: brainly.com/question/19040584
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FILL IN THE BLANK a(n) ____ consists of a rectangle divided into three sections.
Answers
Answer:
Step-by-step explanation:4
what is 2.085x10^5 in scientific notation
Answers
The number in scientific notation is 2.1×10⁵.
What is rounding a number?Adjusting a number's digits so that it produces an approximation of a result is known as rounding.
The given number is 2.085×10⁵.
Round the number 2.085 to the nearest tenth:
2.085 ≈ 2.1
Therefore, the number in scientific notation is 2.1×10⁵.
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Yuri measures the height of the water in an aquarium in one metric unit. He then moves the decimal point three units to the left. Which pair of measurements might he be converting? Use the metric table to help answer the question.
Answers
Answer:the answer A( kiloliters to liters)
Answer:
Millimeter to Meter
Step-by-step explanation:
please help me out guys, Thank you.
I am very poor at mathematics
Answers
Answer:
79
Step-by-step explanation:
Given the expression
x + 1/x = 9
Square both sides
(x + 1/x)^2 = 9^2
x^2 + 2x(1/x)+ (1/x)^2 = 81
x^2 + 2 + 1/x^2 = 81
x^2+1/x^2+2 = 81
x^2+1/x^2 = 81-2
x^2+1/x^2+ = 79
Hence the value of x^2+1/x^2 is 79
A store employs 11 women and 12 men.
What percentage of the employees are men?
Give your answer to 1 decimal place.
Answers
Answer:
52.2%
Step-by-step explanation:
To find a percentage of something you divide the amount by the maximum number:
11 + 12 = 23
12 ÷ 23 = 0.5217 = 1%
Then times 0.5217 by 100 to get the percentage of male employees
Hope that helped!
Write an equation of the line that passes through (7,10) and is perpendicular to the line y=1/2x-9
Answers
Answer:
y = − 2x + 24
Use the function f(x)-32sin (pi/4 x) +21
Answers
\(f(x)= 32sin(\frac{\pi}{4})x+21\) at x=1 is \(16\sqrt{2}+21\).
What is a function?A function is defined as the relationship between input and output, where each input has exactly one output. The inputs are the elements in the domain and the outputs are elements in the co-domain.
Given the function,
\(f(x)= 32sin(\frac{\pi}{4})x+21\)----------(1)
We have to find the value of the function at x=1. i.e., f(1).
For that we have to replace all the x values in the function as 1.
The equation (1) becomes,
f(1)= \(32*\frac{1}{\sqrt{2} }*1+21\)
= \(\frac{16*\sqrt{2}*\sqrt{2} }{\sqrt{2} }+21\)
= \(16\sqrt{2}+21\)
Then, the value of function at x=1 is \(16\sqrt{2}+21\)
Hence, \(f(x)= 32sin(\frac{\pi}{4})x+21\) at x=1 is \(16\sqrt{2}+21\)
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emily went shopping before going on vacation. she bought 3 pairs of shorts for $25 each, 5 tank tops for $23 each, 1 pair of sandals for $54, and 2 bathing suits for $40 each. how much money did emily spend?
Answers
Answer:
The money Emily spend is 324 dollars
Step-by-step explanation:
Given:
3 pairs of shorts= 25 dollars
5 tank tops = 23 dollars
1 pair of sandal = 54 dollars
2 bathing suits = 40 dollars
The total money spend on 3 pairs of shorts is 3 x 25=75
The total money spend on 5 tank tops is 5 x 23=115
The total money spend on 1 pairs of sandals =54
The total money spend on bathing suits is 2 x 40= 80
Adding them all= 75+115+54+80
= 324 dollars
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The amount Emily spent is $324
Multiplication is one of the four basic arithmetic operations, along with addition, subtraction, and division. In mathematics, multiplication means the repeated addition of groups of equal size.
The number of objects in each group is called the multiplicand,and the number of these equal groups is called the multiplier. Multiplication is represented by cross(×), asterisks (*) or dot (·).
We are given that
3 pairs of shorts = $25
5 tank tops = $23
1 pair of sandals = $54
2 swimsuits = $40
Total amount spent on 3 pairs of shorts is 3 x 25 = 75
The total amount spent for 5 increased shirts is 5 x 23 = 115
Total amount spent on 1 pair of sandals = 54
Total amount spent on swimwear is 2 x 40 = 80
Add them all up = 75 + 115 + 54 + 80
= $324
The amount Emily spent is $324
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What is the reciprocal of 13/14
Answers
Answer:
14/13
Step-by-step explanation:
the reciprocal is the fraction upside down.
Which of the following sets of numbers could represent the three sides of a right
triangle?
O {9, 13, 15}
O {10, 24, 26}
O {40, 52, 65)
O {16,36,39}
Answers
Answer:
A,B
Step-by-step explanation:
sum of angles of a right angle triangle is 90 meaning the will either be 90 or less and both of them certify this law.
1. Graph the equation y=-3/2x+1 2. Write the equation of the line in slope intercept form
Answers
Answer:
The equation is already in slope intercept form, -3/2 is the slope and 12 is the y intercept.
Is this a trick question?
Step-by-step explanation:
May I have brainliest please? :)
In the triangles, and . If is greater than , then is ________ . congruent to longer than shorter than the same length as
Answers
If angle C is greater than angle E, then AB is greater than. Therefore, option B: 'greater than' is the correct answer.
In the figure attached, it is seen that
BC = DE and AC= FE
Now it is required to find the relation between sides AB and DF of the two given triangles.
Since it is given that angle C of the first triangle is greater than angle E of the second triangle. So it is concluded that the opposite sides of the two triangles are in the same ratio as their angles.
Hence, the AB is greater than DF.
"
Complete question:
In the triangles,BC = DE and AC = FE. If mC is greater than mE, then AB is ________ .
A: congruent to
B: longer than
C: shorter than
D: the same length as
"
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Please help me 3: will give brainliest
Answers
Answer: 23,187 x 2/3 < 23187 is the answer
Step-by-step explanation:
what units do scientist use to measure force
Answers
Answer: newtons
Step-by-step explanation:
Answer:
I believe it is Newtons :)
Step-by-step explanation: