The derivative of a logarithmic function is the inverse of the exponential function. That is, if y = logb(x) then the derivative of y is given by dy/dx = 1/xb.
Step 1: Recall that the derivative of a function is defined as the rate of change of the output of the function with respect to the input.
Step 2: Logarithmic functions are inverse of exponential functions, which means that the output of a logarithmic function is the input to an exponential function.
Step 3: Therefore, the derivative of a logarithmic function is the inverse of the derivative of an exponential function.
Step 4: The derivative of an exponential function is given by dy/dx = bx, where b is the base of the exponential function.
Step 5: Therefore, the derivative of a logarithmic function is given by dy/dx = 1/xb, where b is the base of the logarithmic function.
The derivative of a logarithmic function is the inverse of the exponential function. That is, if y = logb(x) then the derivative of y is given by dy/dx = 1/xb.
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o is the centre of the circle and abc and edc are tangents to the circle what is bcd if o is 152
The requried measure of the angle m∠BCD is 28°.
What is the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
From the figure,
m∠BOD = 2m∠BFD
= 2 × 76°
= 152°
OD perpendicular to CE simultaneously OB perpendicular to CA
m∠ODC = m∠OBC = 90°
m∠ODC + m∠OBC + m∠BOD + m∠BCD = 360
90 + 90 + 152 + m∠BCD = 360
m∠BCD = 28°
Thus, the requried measure of the angle m∠BCD is 28°.
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What's the better buy-$132 for 12oz or $149 for 16oz?
they are equal
$1.32
$1.49
Answer:
dont
Step-by-step explanation:
What does K mean in linear functions?
K Representations of transformations to represent a constant value the parent.
What is linear functions?When the independent variable (often 'x') varies by a constant amount and the dependent variable (typically expressed by 'y') changes by a constant amount, the function is said to be linear. A linear function is, for instance, the progression in the number of ticks of a clock's second hand through time. A straight line makes up the graph of a linear function. Both the independent and dependent variables of a linear function are one. X is an independent variable, whereas Y is a dependent variable. A formula must take the form y=mx+b to be considered a linear function (in which m is the slope and b is the y-intercept).To learn more about linear functions refer to:
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Seven girls and three boys are waiting to audition for a school play. To be fair the staff is
choosing candidates at random for the auditions. If the first two selections were boys, how
does that affect the probability of the third candidate being a girl?
The first two selections do not affect the probability of the third candidate.
It increases the probability of a girl being the third candidate.
It decreases the probability of a girl being the third candidate
Since there is only one boy left, a girl will definitely be the third candidate.
If the first two selections were boys, the way that it affects the probability of the third candidate being a girl is; It increases the probability of a girl being the third candidate.
How to solve conditional probability?Conditional probability in mathematics is defined as the type of probability that depends on the occurrence or outcome of another event.
Now, we are told that in the school;
Number of Girls = 7
Number of boys = 3
Since the staff is choosing the candidates at random, then it means everyone has an equal chance to be picked.
Now, since we are told that 2 boys are selected first, it means that there would be only 1 boy left and as such the probability of selecting a girl will increase because there would now be seven girls out of 8 people.
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I want to delete this question. How do I do it?
To delete a question from the system you must complete a four-step procedure.
How to remove a question from the system?To delete a question from the system we must perform the following procedure:
First of all we must go to the home page.Once we are on the home page, we must click on the "Questions" tab.When you are in the "Questions tab", you have to find the question you want to deleteOnce you find it, you must click on the delete option.The previous procedure will help you to delete all the questions you want at any time you want.
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I need help please!!!
Answer:
Step-by-step explanation:
one of the answer is zero
Answer:
a) -3
b) 9
c)-15
d) 3
e)-21
Step-by-step explanation:
plug in the number given within parentheses into f(x) = 6x-3.
someone please help me with this problem, been stuck on it for hours!!
Answer: 20
Step-by-step explanation: 2 half triangles at the top can be made into 1 square of 4 units which added onto the other part to create 1, 4 by 5 shape which is 20
Pls someone help me on this
On solving the provided question we can say that from the graph, we can say as both sides are similar angle D is congruent to angle D'
What is graphs?Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle
from the graph, we can say as both sides are similar
Angle D is congruent to angle D'
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Write 7/4 as a mixed fraction.
I need an answer fast!
it's inverted but still this is answer
Ms. Green and Mr. White took their science classes to the museum. Ms. Green spent $262 to
buy 28 student tickets and 4 adult tickets for her class. Mr. White spent $191 for 22 student
tickets and 2 adult tickets for his class.
How much did the student tickets for both classes cost in total?
The total cost of student ticket in the class of Ms. Green is $210 and the cost of student ticket in the class of Ms. White is $165.
In the given question, we have to find how much the student tickets for both classes cost in total.
Ms. Green and Mr. White took their science classes to the museum.
Let the cost of student ticket is x.
Let the cost of adult ticket is y.
Ms. Green spent $262 to buy 28 student tickets and 4 adult tickets for her class.
So the required equation is:
28x + 4y = 262...(1)
Mr. White spent $191 for 22 student tickets and 2 adult tickets for his class.
So the required equation is:
22x + 2y = 191...(2)
Multiply equation 2 by 2 then subtract by 1
44x + 4y - (28x + 4y) = 382 - 262
16x = 120
Divide by 16 on both side, we get
x = 7.5
Now putting the value of x in equation 1, we get
28(7.5) + 4y = 262
210 + 4y = 262
Subtract 210 on both side, we get
4y = 52
Divide by 4 on both side, we get
y = 13
Hence, the cost of student ticket is $7.5 and the cost of adult ticket is $13.
Now we have to find the total cost of student tickets in both classes.
The cost of student ticket in the class of Ms. Green = 28x
The cost of student ticket in the class of Ms. Green = 28×7.5
The cost of student ticket in the class of Ms. Green = $210
The cost of student ticket in the class of Ms. White = 22x
The cost of student ticket in the class of Ms. White = 22×7.5
The cost of student ticket in the class of Ms. White = $165
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What is the circumference of a circle with a diameter of 28 cm? Approximate using pi equals 22 over 7.
176 cm
88 cm
44 cm
9 cm
Answer:
88 cm
Step-by-step explanation:
the formula for circumference is π · d
28 · 22/7 = 88
88 cm is the circumference of a circle with a diameter of 28 cm.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
The circumference of a circle with a diameter of 28 cm.
Radius = 28/2
Radius is 14 cm.
Circumference=2πr
=2×3.14×14
=87.92=88 cm
Hence, 88 cm is the circumference of a circle with a diameter of 28 cm.
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Sadie got food and drinks if it cost $22.50 and there is a 9% meals tax, how much is the bill
Answer:
Step-by-step explanation:
Tax would be about 2 dollars
18 is 90% of what number?
Answer:
multiply the percentage by the number and then divide by 100
Step-by-step explanation:
What is 90% of something? To calculate, multiply the percentage by the number and then divide by 100. For example, 90 percent of 82 = 73.8.
bye noe
im tyler
Answer: 20
Step-by-step explanation:
If you take 90 percent of a number and get 18, then what is that number? In other words, you know that 90 percent of a number is 18 and you want to know what that initial number is.
To solve this problem you multiply 18 by 100 and then divide the total by 90 as follows: (18 x 100) / 90
Math hw please help
As the x-coordinate is negative and y-coordinate is zero ,Point (−4,0) lies on negative x-axis
How to calculate ?Hey dear ,
I have just created graph for your
U can see that (4,0),(6,0),(8,0) lie on same line I. e X axis
Hence , they are collinear
they lie on a straight line which is the X axis as the y coordinate is zero
Here the x-coordinate of our point is −4 and the y-coordinate of our point is 0
As the x-coordinate is negative and y-coordinate is zero ,Point (−4,0) lies on negative x-axis
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what is the measure (in degrees) of the smallest interior angle of a triangle in which the exterior angle measures have the ratio $4:5:6?$
The measure (in degrees) of the smallest interior angle of a triangle in which the exterior angle measures have the ratio 4:5:6 is 36°.
The exterior angles of a triangle measure the angle between one side of a triangle and the extension of an adjacent side. The sum of the exterior angles of a triangle is always equal to 360 degrees.
In a triangle in which the exterior angle measures have the ratio 4:5:6, we can express the measures of the exterior angles as 4x, 5x, and 6x.
360 = 4x + 5x + 6x
360 = 15x
Solve for x by dividing both sides by 15:
x = 360/15 = 24
Knowing that the measures of the exterior angles are 4x, 5x, and 6x, we can find the measure of the smallest interior angle by subtracting the biggest exterior angle from 180 degrees:
biggest exterior angle = 6x = 6(24) = 144°
smallest interior angle = 180° - 144° = 36°
Therefore, the measure of the smallest interior angle of a triangle in which the exterior angle measures have the ratio 4:5:6 is 36°
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What is the second step in solving system of linear equations in two variables using elimination method?
Add or subtract both the linear equations such that the same terms will get eliminated.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
What makes an equation linear?
When a linear equation is graphed, it always produces a straight line since each term in the equation has an exponent of 1. This is the basis for the term "linear equation" being used to describe it.
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Is the expression a polynomial? If so, is it a monomial, binomial or trinomial? 5x
Please help
The expression is a monomial.
The expression 5x is a monomial. A monomial is an algebraic expression that consists of one term and is not the sum or difference of other terms. It can be a constant number, a variable, or a product of a constant and one or more variables. In this case, the expression has only one term, which is the product of the constant 5 and the variable x. Therefore, it is a monomial.
A monomial is an algebraic expression that consists of one term and is not the sum or difference of other terms. It can be a constant number, a variable, or a product of a constant and one or more variables. For example, 5, x, and 3x^2 are all monomials.
A binomial is an algebraic expression that consists of two terms and is the sum or difference of those terms. The two terms can be monomials, for example, 3x+2 and 5x^2-7 are binomials.
A trinomial is an algebraic expression that consists of three terms and is the sum or difference of those terms. Like binomials, the terms can be monomials, for example, 2x^2 + 5x +7 or 3x^2 -2x -5 are trinomials.
Therefore, The expression is a monomial.
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Is a negative slope horizontal or vertical?
Negative slope means that as we move from left to right on the graph, the line falls. Zero slope means that the line is horizontal: it neither rises nor falls as we move from left to right. Vertical lines are said to have "undefined slope," as their slope appears to be some infinitely large, undefined value.
Now, According to the question:
A line that slants up from left to right has a positive slope. A line that slants down from left to right has a negative slope. Horizontal and vertical lines also have a slope. A horizontal line has a change in x, but it does not have a change in y.
Negative slope means that as we move from left to right on the graph, the line falls. Zero slope means that the line is horizontal: it neither rises nor falls as we move from left to right. Vertical lines are said to have "undefined slope," as their slope appears to be some infinitely large, undefined value.
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What is log 2 called?
The binary logarithm, sometimes referred to as log base 2, is the inverse function of the power of two functions.
According to the generic logarithm, can be represented in exponential form as for every real number n.
n = [tex]a^x[/tex]
The logarithm form is expressed as Log base 2 is the power to which the number 2 must be raised to acquire the value of n.
[tex]log_a n[/tex] = x
In this case, "a" is a positive real integer that is used as a base and "x" is an exponent. The formulas for log base 2 functions are given for any real value x as
x = [tex]log_{2}n[/tex]
Which is equal to
[tex]2^x[/tex] = n
The real number system does not specify the logarithm of base 0 or logarithms of negative values.
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show the equation of V²=U²+2as
Answer: V² = U² + 2as
This equation is known as the equation of motion, and it relates the final velocity (V) of an object to its initial velocity (U), acceleration (a), and displacement (s).
The equation states that the square of the final velocity is equal to the square of the initial velocity plus twice the product of acceleration and displacement.
The equation can be used to calculate the final velocity of an object if the initial velocity, acceleration, and displacement are known, or it can be used to calculate the displacement of an object if the initial velocity, final velocity, and acceleration are known.
This equation is based on the concepts of physics and it's used to calculate the velocity of an object under constant acceleration.
Step-by-step explanation:
how many quarters are in thirty dollars
Answer: 120 quarters
Step-by-step explanation:
There are 4 quarters in a dollar.
For 30 dollars, there are 3 * 40 = 120 quarters
120 quarters are in thirty dollars
Which of the following is the equation that represents the graph?
y equals negative three halves times x minus 3
y equals negative three halves times x minus 2
y equals negative two thirds times x minus 3
y equals negative two thirds times x minus 2
The equation that represents the graph is y equals negative three halves times x minus 3, and option A is correct.
What is the slope of a line?The ratio of the change in y coordinate to the change in x coordinate is known as a line's slope.
y and x, respectively, stand for the net change in the y-coordinate and the net change in the x-coordinate.
Consequently, the connection between a change in y-coordinate and a change in x-coordinate
Given a graph,
from the graph, we find that when y is 0, x = -2
and when x is o, y = -3
so the line passes from (-2, 0) and (0, -3)
the slope of the line is (y₂-y₁)/(x₂-x₁)
m = (-3 - 0)/(0 - 2)
m = -3/2
and the y-intercept is -3
equation of line is y = mx + c
y = -3x/2 - 3
which is y equals negative three halves times x minus 3.
Hence option A is correct for the equation of the line,
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Answer:D
Step-by-step explanation:D
trigonometric ratios find a side length calculator
There are a few online calculators available that allow you to find the side length of a triangle using trigonometric ratios.
One example is The Calculator Site, which provides step-by-step instructions on how to use the calculator. By providing the known values of two angles and one side, the calculator can determine the length of the remaining side.
The Calculator Site provides a calculator which can be used to find the side length of a triangle using trigonometric ratios. The calculator requires the user to provide the known values of two angles and one side, after which it will calculate the length of the remaining side.
There are a few online calculators available that allow you to find the side length of a triangle using trigonometric ratios.
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What is the product of AXB?
The product of AXB is the matrix C, where Cij = Σk=1nAikBkj, where n is the number of columns in A.
The product of two matrices A and B is a new matrix C, which is obtained by multiplying each of the elements of A with the corresponding elements of B. The size of the resultant matrix C will be the same as that of A and B. For example, if A is m×n and B is n×p, then the product AXB will be an m×p matrix. The value of each element of C is determined by multiplying the elements of corresponding rows of A with those of corresponding columns of B, and then summing up the products. Mathematically, the value of Cij (the element in the ith row and jth column of C) is given by the equation
Cij = Σk=1nAikBkj,
where n is the number of columns in A.
The product of AXB is the matrix C, where Cij = Σk=1nAikBkj, where n is the number of columns in A.
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What is substitute and example?
A substitute is a good or service that buyers can quickly swap out for another. For instance, a one-dollar bill can be used in place of another dollar bill.
In business and economics, a replacement, or substitutable good, is a good or service that consumers perceive as just being substantially the same as or reasonably similar to some other good. Consumers are given options and alternatives through substitutes, which also spur competition and lower prices in the market.
Here are a few examples of replacement goods:
1. A $1 bill can be exchanged for four quarters.
2. Coke against Pepsi
3. Regular vs. premium gas
4. Butter and lard
5. Tea and coffee
6. Apples and oranges
7. Comparing driving a car to riding a bike
8. Books in general and e-books
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A certain virus infects one in every 400 people. A test used to detect the virus in a person is positive 80% of the time if the person has the virus and 10% of the time if the person does not have the virus. (This 10% result is called a false positive.) Let A be the event "the person is infected" and B be the event "the person tests positive".
a) Find the probability that a person has the virus given that they have tested positive, i.e. find P(A|B). Round your answer to the nearest tenth of a percent and do not include a percent sign.
P(A|B)=
%
b) Find the probability that a person does not have the virus given that they test negative, i.e. find P(A'|B'). Round your answer to the nearest tenth of a percent and do not include a percent sign.
P(A'|B') =
%
a) The probability that a person has the virus given that they have tested positive is 0.5.
b) The probability that a person does not have the virus given that they test negative is 0.9.
What is probability?
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.
Virus infects one in every 400 people.
Let A = be the event of being infected.
Let A' = be the event of not being infected.
Let B = be the event of being tested positive.
Let B' = be the event of being tested negative.
Let the population = 1,00,000
So, now the number of infected people are -
Infected people = (1/400) 100000
Infected people = 250
The number of non-infected people are -
Non-Infected people (T') = 100000 - 250
Non-Infected people (T') = 99750
The test is 80% positive when the person has the virus -
N(A|B) = 0.80 × 250
N(A|B) = 200
So, the probability value for N(A|B) -
P(A|B) = 200/400 = 0.5
The test is 10% positive when the person does not have the virus -
N(A'|B) = 0.10 × 99750
N(A'|B) = 9975
Number of people who test negative when they don't have the virus -
N(A'|B') = (T') - N(A'|B)
N(A'|B') = 99750 - 9975
N(A'|B') = 89775
So, the probability value for N(A'|B') -
P(A'|B') = 89775/99750 = 0.9
Therefore, the probabilities are 0.5 and 0.9.
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Kiki painted 15 of her bookshelf on Monday and 56 of her bookshelf on Tuesday. She says she has painted 611 of her bookshelf.
Which statement is most accurate?
Responses
A. 6/11 is a reasonable answer for the fraction of her bookshelf Kiki has painted.
B. 6/11 is not a reasonable answer for the fraction of her bookshelf Kiki has painted. The fraction should be closer to 1/2.
C. 6/11 is not a reasonable answer for the fraction of her bookshelf Kiki has painted. The fraction should be closer to 1.
The solution is Option B.
The fraction of bookshelf Kiki painted is closer to 1/2
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the total fraction of bookshelf painted be A
Now , the value of A is
The fraction of bookshelf painted on Monday = 1/5 of total
The fraction of bookshelf painted on Tuesday = 5/6 of total
Now , the total bookshelf painted A = ( 1/5 ) + ( 5/6 )
The total bookshelf painted A = ( 6 + 5 ) / 30
On simplifying the equation , we get
The total bookshelf painted A = 11/30
The total bookshelf painted A = 0.36667
So , the value of A is closer to 1/2
Hence , the fraction is 11/30
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solve the inequality
Answer:
D.
Step-by-step explanation:
x + 6 ≤ 8
subtract 6 on both sides.
x ≤ 2
Option D is the correct answer.
Combine like terms to simplify this.
-2m - 8m
Answer:
-10m
Step-by-step explanation:
-2m-8m = -10m
Answer:
-10m
Step-by-step explanation:
a negative + a negative is still negative.
Hope this helps!
Cruises are expensive. You can take steps that will help you save money and get the most out of every dollar you spend.
Make sure you understand exactly what the fare covers. On some lines, food, beverages, and tips are all included. On some ships, they cost extra.
Invest in travel insurance. Many things can interfere with your travel plans. Illness, flight delays, or bad weather happens.
rcruise in the spring or fall. The weather is just as good, crowds are fewer, and rates are lower.
Take your
Answer: I don’t get this question
Step-by-step explanation:
Answer: Answer Is D:
Cruises are expensive, meaning you should take steps that will help you save money and get the most out of every dollar you spend.
Make sure you understand exactly what the fare covers. On some lines, food, beverages, and tips are all included. On some ships, they cost extra.
Invest in travel insurance, on account of the many things that can interfere with your travel plans. Illness, flight delays, or bad weather happens.
Take your cruise in the spring or fall, since compared with the peak season, the weather is just as good, crowds are fewer, and rates are lower.
Step-by-step explanation: Just took the test and it sound correct