The derivative of f(g(x)) with respect to x is f'(1/x).
What are Derivatives?The term derivative refers to a type of financial contract whose value is dependent on an underlying asset, group of assets, or benchmark.
Given that, g(x)=ln x
Differentiation of ln x = 1/x
Hence, The derivative of f(g(x)) with respect to x is f'(1/x).
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Polynomial long divisio
Divide.
(10x³-23x² +15x-2)+(5x+1)
Your answer should give the quotient and the remainder.
Quotient:
type 2
Remainder:
X
S
The long polynomial division of the given equation is [tex]\ 2x^2-5x+4-\frac{6}{5x+1}[/tex].
What is long polynomial division?
Polynomial long division is a generalized variant of the well-known arithmetic operation known as long division. It is an algorithm for dividing a polynomial by another polynomial of the same or lower degree.
We have,
[tex]10x^{3} -23\pi x^{2} +15x - 2[/tex] £ [tex]5x+1[/tex]
By taking long division
[tex]= \:\frac{10x^3-23x^2+15x-2}{5x+1} \[/tex]
[tex]= \quad 2x^2-5x+4-\frac{6}{5x+1}[/tex]
[tex]= \ 2x^2-5x+\frac{20x-2}{5x+1}[/tex]
[tex]= \ 2x^2-5x+4+\frac{-6}{5x+1}[/tex]
By simplifying we get,
[tex]= \ 2x^2-5x+4-\frac{6}{5x+1}[/tex]
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Evaluate the problem
Answer:
2 4/9
Step-by-step explanation:
1.) 10/9-(-1 1/3)
2.) 10/9+ 1 1/3
3.) 3x1+1=4/3
4.)10/9+4/3
5.)(10×3)+(4×9)
6.)30+36
7.)66/27
8.) 2 4/9
3.26666 in fraction form
Answer:
3 13333/50000
Step-by-step explanation:
Answer:
The fraction can be 3(26666)/(100000)
Step-by-step explanation:
A park is in the shape of a rectangle and measures 40 m by 30 m. How much longer is it to walk from A to B along the diagonal of the park than to walk along the edges of the park?
20 m longer it is to walk from A to B along the diagonal of the walk than to walk along the edges of the park.
Given:
Assume ABCD is a rectangular park of right triangles ABC of length = 40m, width = 30m, ∠C = 90
In the right-angled triangle ABC,
By Pythagoras' theorem,
AB² = AC² + BC²
AB² = 30² + 40²
AB² = 900 + 1600
AB² = 2500
AB² = [tex]\sqrt{2500}[/tex]
AB = 50m
The distance from A to B along the diagonal of the park = 50m
The distance from A through to C = 30m.
The distance from A through C to B = 30 + 40 = 70m.
Therefore, 20 m longer it is to walk from the diagonal of the park to walk along the edges of the park.
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Makayla is organizing textbooks on her bookshelf. She has a Spanish textbook, a math textbook, a physics textbook, and a writing textbook. How many different ways can she line the textbooks up on her bookshelf?
The number of different possible ways Makayla can line the textbooks up on her bookshelf would be= 24
What is polynomials?This is defined as the multiplication of a figure down to the figure one and is often represented as n!.
The different types of text books that are being arranged at the bookshelf;
a Spanish textbook,
a math textbook,
a physics textbook, and
a writing textbook.
This is a total of 4. Therefore, the number of different possible ways they can be arranged; 4!= 4×3×2×1 = 24 ways.
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richard owns 600 red marbles and ? number of blue marbles. after he gave away 3/5 of the red marbles and 2/3 of the blue marbles, he now has an equal number of red and blue marbles. find how many more blue marbles than red marbles he had originally.
he has 90 more then he originally had
Step-by-step explanation:
how do i solve this? I need proper assistance
Answer:
25
Step-by-step explanation:
(33 + 2z)^2 when z = -19
substitute in -19 in place of z:
(33 + 2(-19))^2
(33 + (-38))^2
(33 -38)^2
(-5)^2
= 25
Adam, Barry and Charlie each buy some stamps.
Adam buys x stamps.
Charlie buys 5 more stamps than Adam.
(c) Write down an expression, in terms of x , for the number of stamps Charlie buys.
Please help me i need it now
If Adam buys x stamps and Charlie buys 5 more stamps than Adam, then the expression in terms of x for the number of stamps Charlie buys is x + 5
The number of stamps that Adam buys = x
The expression is the mathematical statement that consist of different variable, numbers and arithmetic operators. The arithmetic operators are addition, subtraction, division and multiplication. The expression does not contains any equal signs or inequality signs
Charlie buys 5 more stamps than Adam.
Then the expression will be
The number of stamps that Charlie buys = x + 5
Hence, if Adam buys x stamps and Charlie buys 5 more stamps than Adam, then the expression in terms of x for the number of stamps Charlie buys is x + 5
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what does -2 x -3x + 1 = ?
The equation is -2 x -3x + 1 and value of x is 1/5
Given,
In the question:
The equation is :
-2x -3x +1 =?
To solve the above equation:
Now, According to the question:
For finding the value of x
-2x -3x +1
Calculate sum or difference
-5x + 1
-5x = -1
x = 1/5
Hence, The equation is -2 x -3x + 1 and value of x is 1/5
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What is 5.73 divided by 3 I know it equals 1.91 explain how you got the answer get a piece of paper put 5.73 at the top and 3 at the bottom then solve it and explain how you got your answer
The result is 1.91 and the technique used is the decimal shifting.
What is the result of the quotient of 5.73 and 3?It follows from the task content that the quotient of 5.73 and 3 is to be determined and the method of solving be explained according to the given task.
Therefore, since the given quotient is;
5.73 / 3
However, for ease of computation, the decimal in the numerator may be shifted two spaces right so that we have;
= 573 / 3. (which is a lot easier to evaluate)
= 191
However, the initial decimal shift needs to be reversed by shifting two spaces left so that we have;
= 1.91
Consequently, the quotient of 5.73 and 3 is; 1.91.
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-2(v + 1) + 5v = 3(v + 1) - 2
Answer: no solution
Step-by-step explanation:
distributing we have
(-2v-2) + 5v = (3v+3)-2
which will be equal to
3v -2 = 3v + 1
subtracting 3v we have
-2 = 1 which is false so no solution
Kayla went deep sea fishing. She cast her line 15 feet underneath the water. Which number best represents this integer?
-4.5720m is the best number to represent this integer.
What is integer?
An integer (pronounced IN-tuh-jer) is a whole number (not a fractional number) that can be positive, negative, or zero.
What is Fractional number?
A fraction is numerical value that is a part of a whole. It is evaluated by dividing a whole into number of parts. For example, ½ represents half of a whole number or a thing.
Given that;
Kayla want deep sea fishing,
So, she cast her line = 15 feet under water
First, we change feet into meter,
1 ft = 0.3048m
so, in 15feet there is ;
15 x 0.3048 = 4.5720 m
∴ Kayla goes underneath values are consider into negative integer.
∵ the correct answer is -4.5720m under the sea
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What’s 6 x 10 (just for fun)
Answer:
Easy its answer is 60. OK
Answer:
6 x 10 = 60 / sixty
Step-by-step explanation:
Solve the word problem. Be sure to use the six steps!
The city of Harris recycles 5,800 pounds of plastic per week. Each resident recycles 4 pounds per week. How many residents live in Harris?
Answer:
1450 residents
Step-by-step explanation:
Number of residents who live in Harris
= 5800 pounds ÷ 4 pounds
= 1450 residents
Empirical statements describe how the world should be. Normative statements describe how the world is.
A descriptive statement (also known as a positive statement) is meant to describe the world as it is a Normative Statement is meant to talk about the world as it should be.
Normative Statement: It expresses a value judgmental about the disability of a situation. For example: samples of normative economic statements including " women should be provided higher school loan than men", etc.
Empirical Statement: It describes what is in the social world, without evaluating it. They are statements that can be measured empirically. Example of Empirical would be : it will rain tomorrow.
Normative statements are judgmental. They are ought statements and they poses question, they device and explicitly say how things should be. They are generalized and subjective in nature, they act as the necessary channels for out of the box thinking.
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-x+6y= -2
4x-24y = 8
Step-by-step explanation:
this has infinitely many solutions.
why, because both equations are actually representing the same function.
-x + 6y = -2
let's multiply both sides by -4, and the result is
4x - 24y = 8
exactly the same as the second equation.
as both are the same function, their curves are covering each other perfectly, so that every point on the curves is an intersection and therefore solution.
so : infinitely many solutions.
Points B, C and D lie on a straight line.
AC is perpendicular to BD.
BC = 4cm and BD = 24 cm.
Triangle ABC has area 36 cm^2
Calculate the size of angle x.
The measure of the angle x in the right triangle ABD is 38.06 degrees.
Points B, C and D lie on a straight line.
AC is perpendicular to BD.
BC = 4cm and BD = 24 cm.
Triangle ABC has area 36 [tex]cm^{2}[/tex]
To Calculate the size of angle x.
What is a right angle triangle?
A right angle triangle has one of its angles as 90 degrees. Therefore, the sides of the triangle can be found using trigonometric ratios.
area of a triangle = 1 / 2 bh
where
b = base of triangle
h = height of triangle
Hence,
area of a triangle = 1 / 2 × 4 × h
24 = 2h
h = 24 / 2
h = 12 cm
DC = 24 - 4 = 20 cm
AC = 12 cm
tan x = opposite / adjacent
tan x = 12 / 20
x = tan ⁻¹ 0.6
x = 38.06
x = 38.06 degrees.
Hence the answer is the measure of the angle x in the right triangle ABD is 38.06 degrees.
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△DNS∼△ARH what is the value of x?
Answer:
Step-by-step explanation:
Where is the figure
I need help now!!!!!!
Answer:
6 weeks = 42 days
Step-by-step explanation:
6 weeks = 42 days Formula: multiply the value in weeks by the conversion factor '7'. So, 6 weeks = 6 × 7 = 42 days.
Find the equation of the line specified. the line passes through the points ( 2, 1) and ( 5, 4) a. y = x 1 c. y = x - 1 b. y = -x - 1 d. y = x 3
Answer: y=x-1
Step-by-step explanation:
to solve for the slope you do
4-1=3
5-2=3
3/3= 1x=x
to solve for the y-intercept you do
1=1(2)
1-2=-1
Find the distance between the two points in simplest radical form.
(7,1) and (4,5)
The distance between the two points in simplest radical form is 5.
What is meant by distance between two points?The length of the line segment connecting two points in a plane is the distance between them. The formula for calculating the distance between two places is typically d=((x₂ - x₁)² + (y₂ - y₁)²). This formula is used to calculate the distance between two locations on a coordinate plane or the x-y plane.
In geometry, distances are usually positive unless the points coincide. Consider two points A(a, b) and B to obtain the formula for the distance between two points in the plane (c, d).
The linear distance between two points is equal to the square root of the sum of the squared x-axis and y-axis distances. To continue with the example, the distance between (3,2) and (7,8) is sqrt (52), or 7.21 units.
Given,
The two points are (7,1), (4,5)
Distance between two points
AB=√(x₂-x₁)²+(y₂-y₁)²
AB=√(4-7)²+(5-1)²
=√3²+4²
=√9+16
=√25
=5
Distance between two points=5
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WRITE THE EQUATION IN
SLOPE-INTERCEPT FORM
(1,-5) and (-2,-17)
Answer:
f(x) = 4x -9
Step-by-step explanation:
The slope-intercept form is f(x) = mx + b, where m is the slope and b is the y-intercept.
First, we need to find the slope, m.
= [tex]\frac{-5-(-17)}{1-(-2)}[/tex]
= [tex]\frac{12}{3}[/tex]
= [tex]4[/tex]
m = 4, and now we plug it into the equation, using any given point, (1,-5) in this case.
f(x) = 4x + b
(-5) = 4(1) + b
-5 = 4 + b
b = -9
Now we find the equation: f(x) = 4x -9, and if we plug (-2,-17) in, we should get the same number as if we plug in (1,-5).
In 1950, Town A had a population of 2000 people and the population increased by 200 people each year. In 1950, Town B had a population of 200 people and the population increased by 10% each year. Which town will eventually have the greater population? Which town had a greater population in 1990?
Hence in 1990 town a will have a population of 90518 and town B will have a population of 9051.85.
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
To calculate the size of town A in 1990, multiply the current population by 2000 + (200x40) and add 40 years to account for population growth.
To work out how big town B will be in 1990
We have to use the equation 2000 X 1.1^40 because to work out plus 10 percent you need to do 1.1 and do it to the power of 40 for how many years
So 2000* 45.259 = 90518. for 2000people of A Town
And 200* 45.259 = 9051.8 for 200people of B Town
Hence in 1990 town, a will have a population of 90518 and town B will have a population of 9051.85
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4x-y=5 slope n y intercept
Step-by-step explanation:
4x - y = 5
You need to convert this equation to point intercept form: y = mx + b where m = slope and b = y-intercept.
4x - y = 5
subtract 4x from both sides:
4x - y - 4x = 5 - 4x
-y = 5 - 4x
divide both sides by -1:
(-y)/-1 = (5 - 4x)/-1
y = -5 + 4x
rearrange right side:
y = 4x - 5
Remembering that: y = mx + b where m = slope and b = y-intercept
slope = 4
y-intercept = -5 or (0 , -5)
help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The graph of the function is graph (a) and the table of values of the function f(x) = (3/4)ˣ is
x -2 -1 0 1 2
y 16/9 4/3 1 3/4 9/16
How to make the table of values of the functionFrom the question, we have the following equation that can be used in our computation:
f(x) = (3/4)ˣ
The x values on the table of values are
x = -2, -1, 0, 1 and 2
So, we replace x in the function f(x) = (3/4)ˣ with x = -2, -1, 0, 1 and 2
So, we have
f(-2) = (3/4)⁻² = 16/9
f(-1) = (3/4)⁻¹ = 4/3
f(0) = (3/4)⁰ = 1
f(1) = (3/4)¹ = 3/4
f(2) = (3/4)² = 9/16
This implies that
The table of values is
x -2 -1 0 1 2
y 16/9 4/3 1 3/4 9/16
When this is represented on a graph, it crosses the y-axis at (0, 1)
This is represented by graph (a)
Hence, the graph of the function is graph (a)
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Write 0.7 as a fraction.
Answer: 7/10
Step-by-step explanation:
Answer:
7/10 or 70/100
Step-by-step explanation:
The 7 is in the tens place!
The graph of an arithmetic sequence is shown to the right. Write a recursive formula for the arithmetic sequence.
2:9
16-
12-
8-
4-
●
•
The value of slope is 5 .
How to calculate arithmetic sequence ?Write the first few terms of the sequence.
f₁ = 6
f₂ = f₁ + 5 = 11
f₃ = f₂ + 5 = 16
f₄ = f₃ + 5 = 21
and so on
The sequence is
6, 11, 16, 21, ...,
This is an arithmetic sequence with a common difference of 5.
In function notation, the sequence is
Fn+1 = 6+5n
n= 0,1,2......
The straight line equation with n as the independent variable and f as the dependent variable is shown here.
The slope is 5.
A graph of the line is shown below.
Answer:
The sequence is Fn+1 = 6+5n ,n= 0,1,2......
The slope is 5.
The complete question is : A recursive arithmetic sequence is defined ad f(1)=6, f(n+1)=f(n)+5 for n>1. The first four terms of the sequence are shown in the table. Write an explicit formula that represents the sequence using function notation. Find the slope of the line that passes through the points given in the table. The slope is
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(x-6) (x³ + 4x³ + 6x² + 2x)
Answer:
[tex]5x^4-24x^3-34x^2-12x[/tex]
800 kenyan shillings to U.S. Dollars
(Money conversion)
Answer:
hope this helps
Step-by-step explanation:
800 Kenyan Shilling equals
6,57 United States Dollar
23 Nov, 02:01 UTC · Disclaimer
800
Kenyan Shilling
Kenyan Shilling
6.57
United States Dollar
United States Dollar
Answer:
800 Kenyan shillings = 6.57 U.S. Dollars.
Step-by-step explanation:
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Graph ABC and its image after a dilation centered at the given point using the given scale factor.
A(1, 2), B( - 1, − 1), C(2, — 1); dilation centered at point B with a scale factor of 2
The graph △ABC and its image is A′(2, 4), B′(-2, -2), C′(4, −2).
What is the coordinate rule?
Rules for the coordinate plane: (x, y) Where h and k are the horizontal and vertical shifts, respectively, we have (x ± h, y ± k).
Here, we have
The coordinate rule for dilation with k = 2 to find the coordinates of the vertices of the image.
(x, y) → (2x, 2y)
A(2, 1) → A′(2, 4)
B(4, 1) → B′(-2, -2)
C(4, −1) → C′(4, −2)
Each side length of △A′B′C′ is longer than its corresponding side by the scale factor. The corresponding sides are parallel because their slopes are the same.
Hence, after a dilation centered at the given point using the given scale factor the image is A′(2, 4), B′(-2, -2), C′(4, −2).
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