A logarithmic function can be said to be an inverse function of exponents.
There are 2 kinds of logarithmic functions, natural lo and log with a base of 10.
The natural lo has an "e" as its base. This is an irrational number often used in Mathematics.
Here we write it as:-
ln a
where a refers to any number a. We generally don't mention anything for the base because it automatically implies that the base is e.
The second way is to write:-
logₓa,
here the "x" is the base while a is any number. Now logₓa will actually give us the exponent or the power of x that will give us a result of a. Here it is important to mention the value of the base.
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Can you solve Pythagorean theorem with only C?
The Pythagorean theorem can be solved using a C programme, therefore yes. The Pythagorean theorem states that the hypotenuse's square length of a right triangle equals the sum of the squares of its other two sides. The slope is the side that faces the right angle.
Therefore, given the lengths of the two shorter sides (a and b), the length of the hypotenuse can be calculated using the formula: c = sqrt(a^2 + b^2).
Here is an example C program that calculates the length of the hypotenuse of a right triangle given the lengths of the other two sides:
#include <stdio.h>
#include <math.h>
Above command is for library
int main() {
double a, b, c;
Above command to initiate the variable.
printf("enter the first side's length.: ");
scanf("%lf", &a);
To enter the value in program
printf("enter the second side's length.: ");
scanf("%lf", &b);
Enter the value and print the value
c = sqrt(a*a + b*b);
Arithmetic command
print("The hypotenuse's length is: %lf\n", c); return 0;}
Print the value and return the program value to zero.
This program prompts the user to enter the lengths of the two shorter sides of the triangle, calculates the hypotenuse length using the Pythagorean theorem, and then prints the result.
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Find the inverse of the function f(x) = 2÷3x -6
Answer:
f⁻¹(x) = 3/2x +9
Step-by-step explanation:
You want the inverse of the function f(x) = 2/3x -6.
Inverse functionThe inverse function can be found by solving for y:
x = f(y)
Here, that is ...
x = 2/3y -6
x +6 = 2/3y . . . . . . . . . . . . . . add 6
y = 3/2(x +6) = 3/2x +9 . . . . multiply by 3/2
The inverse function is f⁻¹(x) = 3/2x +9.
__
Additional comment
Sometimes the division symbol ÷ is used to mean "divided by everything after this symbol." If that is the intended meaning, the function should be written as f(x) = 2/(3x -6) or f(x) = 2÷(3x -6).
We have interpreted the symbol according to the order of operations, which tells us that 2÷3x-6 means ((2÷3)·x)-6.
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Tommy earned $225 washing cars with his mobile car washing business. He charges $30 per appointment and earned $45 in tips, but he also has to pay $10 per appointment for water. Write an equation to represent this situation.
A.
(30 + 10)y + 45 = 225
B.
30y + 45 = 225 - 10y
C.
30y + 45y - 10y = 225
D.
(30 - 10)y + 45 = 225
An equation representing this situation where Tommy earned $225 washing cars per appointment charge of $30 and tips of $45 while paying $10 for water per appointment is D. (30 - 10)y + 45 = 225.
What is an equation?An equation is a mathematical statement that states that two or more mathematical expressions are equivalent or equal.
Equations depict the equality of mathematical expressions using the equation symbol (=).
The total amount earned = $225
Variable charge per appointment = $30
Tips earned = $45
Variable cost per appointment for water = $10
Contribution margin per unit = $20 ($30 - $10)
Let each appointment = y
Total earnings: 225 = (30 - 10y) + 45
Thus, the equation that represents the situation of Tommy's net earnings from washing cars is Option D.
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I need help on that soooo
Answer:
3⅛ ÷ 1⅔ = 1.9083969465648855.
Step-by-step explanation:
To arrive at this answer, we can first convert 3⅛ and 1⅔ to fraction form.
3⅛ can be written as 3 + 1/8, which is equal to 3 + 1/8 = 25/8.
Similarly, 1⅔ can be written as 1 + 2/3, which is equal to 1 + 2/3 = 5/3.
Therefore, 3⅛ ÷ 1⅔ is equal to (25/8) ÷ (5/3) = (25/8) * (3/5) = (325)/(85) = 75/40 = 1 + 35/40 = 1 + 35/40 = 1.875.
This is the exact result, but if you want to round to the nearest hundredth, the result would be 1.91.
−
50
67
1. 5−100%=minu, tart fraction, 67, divided by, 50, end fraction, plu, 1, point, 5, minu, 100, percent, equal
Enter the anwer a an exact decimal or implified fraction
The answer as an exact decimal = -0.84 and simplified fraction = −21/25.
What is simplified fraction?Simplifying a fraction is the process of reducing a fraction to its most basic form. If the numerator and denominator of a fraction have no common factors other than one, the fraction is in its simplest form.
When solving fraction problems, we must first simplify them. Even if we simplify them, the fraction's value will remain unchanged. This means that the simplified and actual fractions are equivalent fractions.
Given that
-67/50 + 1.5 − 100% = ?
Lets solve
= -67/50 + 1.5 − 100%
= -67/50 + 1.5 − (100 × 0.01)
= -67/50 + 3/2 - 1
= -67/50 + 75/50 - 50/50
= (-67 + 75- 50)/50
= −42/50
= −21/25
= -0.84
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Andre saves up the same amount of money each week the table shows the amount he saves in different number of weeeks how much money does Andre save in 4p weeks
The amount of money saved by Andre in 40 weeks is $1280.
What is equation modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.
Given is Andre saves up the same amount of money each week.
We can write the equation, equating the total amount of money saved and the number of weeks as follows. Assume the equation to be -
y = mx + c
Then -
m = (288 - 224)/(9 - 7)
m = 64/2
m = 32
Now -
y = 32x + c
For the point (7, 224), we can write -
224 = 32 x 7 + c
c = 0
For {x} = 48, we can write the amount of money saved as -
y = 32 x 40
y = 1280
Therefore, the amount of money saved by Andre in 40 weeks is $1280.
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Imagine you have a wood block that is 4 cm wide, 4 cm long, and 8 cm high. It
weights 200 grams.
What is the volume of the block? Be sure to include the units.
Then, imagine that you are cutting the block into 2 exactly equal halves. What is the
volume of one of the pieces (including the units)? How does its volume compare to
that of the original block?
The way that the new volume compares to the original volume of the block is that the new volume is half of the original volume.
How to find the volume of the block?The volume of a rectangular block is gotten from the formula;
Volume = length * width * height
Now, we are given;
Width = 4 cm
Length = 4 cm
Height = 8 cm
Thus;
Volume of block = 4 * 4 * 8
= 128 cm³
Now, if you are cutting the block into 2 exactly equal halves, then you can say that;
New length = 4/2 = 2cm
Thus;
Volume of cut block = 2 * 4 * 8
= 64 cm²
This is concluded to be half of the original block.
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In the circle below, suppose m WXU= 102° and mLXWV=68°. Find the following.
In the circle below the suppose m WXU=102° and mL XWV=68° then the following is m ZXUV = 88°.
What is cyclic quadrilateral and explain the above answer?Four-sided shapes with all four corners on the same circle are known as cyclic quadrilaterals. A cyclic quadrilateral's internal angles are always added up to 360 degrees.
(a) m / WXU = 102° (Given)
(b) To find m ZXUV, we can use the property that the angles in a cyclic quadrilateral add up to 360°. Since WXU, XWV, and XLV are all inscribed angles that intercept the same arc, they are congruent. Therefore, m WXU = m XWV = m XLV = 102°. Adding these angles together, we have:
102° + 102° + 68° + m ZXUV = 360°
Solving for m ZXUV, we get:
m ZXUV = 360° - (102° + 102° + 68°)
m ZXUV = 88°
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Is Amu equal to Avogadro's number?
Therefore, amu (atomic mass unit) and Avogadro's number are not the same things.
Define amu (atomic mass unit).
A unit of measurement for atomic and molecular weight is the atomic mass unit (amu).
What is molecular weight?Molecular weight, commonly known as molecular mass, is the mass of a substance's molecules, calculated using the atomic weight of carbon-12, which is 12.
No, amu and Avogadro's numbers are not the same things because An atomic mass unit (amu) is a unit of measurement for atomic and molecular weight. It is defined as one twelfth of the mass of a neutral atom of carbon-12. It is commonly used in chemistry to express the masses of atoms and molecules While Avogadro's number (N) is a fundamental constant of nature that relates the number of atoms or molecules in a sample to the mass of that sample. It is defined as the number of atoms or molecules in one mole of a substance. It is approximately 6.022 x 10^23 atoms or molecules per mole.
So, amu is a unit of measurement for atomic and molecular weight, while Avogadro's number is a constant that relates the number of atoms or molecules in a sample to the mass of that sample.
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round 3.967 to the hundredth place
The function f(x) = x² +1 has a minimum at what coordinate point (x, f(x))? See the graph below.
Answer:
(0,1)
Step-by-step explanation:
Ramiro aked 60 random people from hi chool how they ue the library. Ue the information from Ramiro’ repreentative ample to make prediction about the chool-wide reult. The chool ha 540 tudent
Yes it is possible to make the prediction about Ramiro's School but not completely.
It is possible to use the information from Ramiro's sample to make predictions about the school-wide results, but it is important to note that the sample may not be fully representative of the entire population of students at the school. There may be sampling biases or other factors that affect the results.
With that said, based on the information provided, we can calculate the proportion of students in Ramiro's sample who use the library in a certain way, and then use that proportion to estimate the number of students at the school who use the library in that way.
For example, if Ramiro's sample shows that 40 out of the 60 people he surveyed use the library to study, we can estimate that approximately 40/60 = 67% of the school's students use the library to study. We can then use this proportion to estimate that approximately 540 x 67% = 361 students at the school use the library to study.
It's important to note that these predictions are based on sample data and they may not be accurate. To make more accurate predictions, a larger, more representative sample would be needed.
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the chicken coup at the petting farm is 10 feet by 14 feet. the farm would like to double the current area by adding the same amount, x, to the length and width.
Answer:
22 by 26
Step-by-step explanation:
10+10+14+14=48 (the perimeter)
48×2=96
10+12=22
14+12=26
22+22+26+26=96
The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
Answer:
-4,-2,2
Step-by-step explanation:
look where line reaches zero
What type of quadrilateral is ABCD? Move segments and words to the blanks to classify quadrilateral ABCD.
The slope of
6-4
The slope of
جانا جاتا
Ini
6-
The slope of
The slope of
The slopes indicate that
Therefore, quadrilateral ABCD is a
is
to
and that
is
to
AB
BC
CD
DA
congruent
parallel
perpendicular
parallelogram
rectangle
rhombus
square
The type of quadrilateral is ABCD is parallelogram.
There are some properties of parallelogram:
If Two pairs of opposite sides are parallel and equal in length.The two pairs of opposite angles are equal in measure and one pair of opposite sides is parallel and equal in length.The diagonals bisect each other, and the adjacent angles are supplementary.Each diagonal divides the quadrilateral into two congruent triangles, with the sum of the squares of the sides equals the sum of the squares of the diagonals.The coordinate of quadrilateral ABCD are A=(2,4) B=(5,6) C=(4,3) D=(1,1)
By using the coordinates we can find the slope:
slope=y2-y1/x2-x1
the slope of AB =6-4/5-2
AB=2/3
the slope of AD =1-4/1-2
AD=3/1
the slope of CD =1-3/1-4
CD=2/3
the slope of BC =3-5/3-6
BC=2/3
The slope indicates that the slope of AB is equal to BC and the slope of AD is equal to CD
Therefore, as per the properties, quadrilateral ABCD is Parallelogram
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at a local cafeteria there are 10 vegetable selections available how many three vegetable plates maybe made
The number of vegetable plates can be made = 120
We know that a combination is nothing but a way of selecting items from a collection. In combination the order of selection does not matter.
We know that a formula for a combination is,
^nC_r = n! / r!(n - r)!
where, ^nC_r = number of combinations
n = total number of items in the collection
r = number of choosing items from the collection
and n! = n × (n - 1) × (n - 2) × . . . × 1
Here, we have n = 10 and r = 3
Using combination formula, the total number of plates made:
^10_C_3
= 10! / (3! × (10 - 3)!)
= 10! / (3! × 7!)
= (10 × 9 × 8 × 7!) /( 3! ×7!)
= (10 × 9 × 8) / (3 × 2 × 1)
= (90 × 8) / 6
= 720/6
= 120
Therefore, 120 vegetable plates maybe made
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How do you solve basic equations in algebra 1
1)
2)
Which relation is not a function?
1
-A
30
2
B
3.
: mo
C
A
4
36
3
3)
4)
2-
x
relations
246
6:
8-
Co
8
-10
12
₹10
12
Answer:
2, cause it shows a different function or pattern
Where is the quadrant 1?
The quadrant 1 of the graph is in the place of upper right quadrant.
the term graph in math is referred as a non-linear kind of data structure made up of nodes or vertices and edges
Here we have given that we have to find the place of quadrant 1.
In order to find that we must know that definition of quadrant in math that is one other than the region/part of a cartesian plane which is obtained when the two axes intersect each other and it is used to determine the position of a point in a plane.
As we all know that the first quadrant is in the upper right-hand corner of the plane.
And here we all also know that both x and y have positive values in this quadrant.
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The Jackson family is planning a weekend vacation. They plan to rent a car from the ABC Car Rental Company. Let m represent the number of miles the family will drive. Let c represent the cost for renting a car. Write an equation that shows what the cost for renting a car will be.
Weekend Special: $40 + $0. 10 per mile
An equation that shows what the cost of renting a car will be: C=R+mc.
Let the rental cost = R
consider m to be the number of miles driven= m
let c be the cost per mile
And C is the total cost of renting;
Then C = R+mc
the given equation $40 + $0. 10 per mile
Now, in the above equation consider:
R =$40 ( the rental cost)
c = $0.10 ( the cost per mile)
The total cost is C = $40+$0.10m
Ex:
if m is known assume m=1000 miles
Then the total cost C = $40+($0.10/mile)(1000miles)
then C = $40+$100=$140
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-6/7 on a coordinate plane ( I need 3 ordered pair if so pls help)
-6,7 is in 2nd Quadrant of a coordinate plane because the coordinate of x is negative integer and the coordinate of y is positive integers.
What is coordinate?It is possible to find any point in a 2D plane or 3D space using coordinates, which are ordered pairs of points. We may have observed the use of grids in mathematics. We can plot any point using these grids and its coordinates.
Cartesian coordinates, also known as the coordinates of a point in a 2D plane, are two integers, or occasionally a letter and a number, that identify a specific point's precise location on a grid. This grid is referred to as a coordinate plane.
The X-axis is the horizontal axis and the Y-axis is the vertical axis of a coordinate plane, which has four quadrants.
To plot -6, 7 point on coordinate first we find the point -6 on the left side of plane on x axis. the we go upward and find point y=7 parallel to y axis.
this point is -6,7.
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Find m angle Bm∠Bm, angle, B.
Note that m angle Bm∠Bm, angle, B is acute. Round to the nearest degree
The measure of angle B where angle B is an acute angle by using the Law Of Sines is 61° .
What is an Acute Angle ?
The Acute Angle can be defined as an angles that measure less than 90° , the acute angle is smaller than Right Angle and also smaller than the Linear Angle ( measuring 180° ).
From the figure ,
we can see that the measure of the sides are given as a = 9 , b = 8 and
the measure of angle A is 79° .
By Applying the Law Of Sines ;
we get ,
[tex]\frac{SinA}{a} =\frac{SinB}{b}[/tex]
Substituting the values in the above equation ,
we get ;
[tex]\frac{Sin79\textdegree}{9} =\frac{SinB}{8}[/tex]
Simplifying further ,
we get ;
[tex]SinB = \frac{Sin79\textdegree}{9} \times 8[/tex]
substituting the value of Sin79° as 0.9816 ;
we get ;
[tex]SinB = \frac{0.9816}{9} \times 8[/tex]
[tex]SinB=0.8725[/tex]
So , B ≈ 61° .
Therefore , the measure of angle B is 61° .
The given question is incomplete , the complete question is
Find the measure of Angle B in the given figure .
Note that the angle B is acute . Round to the nearest degree .
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WILL MARK BRAINLIEST: A researcher wishes to see if a kelp extract helps prevent frost damage on tomato plants. One hundred tomato plants in individual containers are randomly assigned to two different groups. Plants in both groups are treated identically, except that the plants in group 1 are sprayed weekly with a kelp extract, while the plants in group 2 are not. After the first frost in the autumn, 8 of the 50 plants in group 1 exhibited damage, and 18 of the 50 plants in group 2 showed damage. Why would the use of z-procedures be questionable value in this situation?
a. We don't know whether the 10% condition has been met.
b. We don't know the standard deviation for either population.
C. d.
Individual plants were not assigned randomly to the two experimental treatments.
We cannot be sure that the Normality condition has been met.
e.
We are collecting results on the entire population of plants, so statistical inference from samples is unnecessary.
Nurse and collects trading cards how many cars come in three packages show how to use an open number line solve this problem
An open number line can be used to find the amount of cards in three packages for a nurse who collects trading cards.
The relative sizes of numbers are displayed visually on an open number line, which also enables you to execute basic arithmetic operations like addition and subtraction. We can begin by marking the number 0 on the number line to use an open number line to tackle this issue. Then, we can mark the number 3 on the number line using the information from the problem (3 packages).
The total number of cards in the deck can then be determined by counting the units on the number line between 0 and 3. The total number of cards in three packages can then be determined by counting the units on the number line between 0 and 3. If each package has 10 cards, there will be a total of 30 cards in three packages, or 3 × 10 cards. So, after purchasing three packages, the nurse will have 30 trade cards. It's vital to keep in mind that the answer is predicated on the idea that each package contains 10 cards; if the box included a different number of cards, the solution would adjust.
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Does a quadratic graph have an inverse?
The inverse of a quadratic graph is a square root function. To graph the inverse, we reverse the domain and range.
What is a quadratic graph?The curve-shaped graph of a quadratic function is known as a parabola. The vertex of a parabola is one of its focal points.
On the graph, it is either the highest or lowest point.
We can imagine it as the parabola's endpoint.
A square root function is the inverse of a quadratic function.
We switch the domain and range in order to graph the inverse.
The graph has the same structure but has been rotated to have the original function's domain and range switched.
Therefore, the inverse of a quadratic function is a square root function. To graph the inverse, we reverse the domain and range.
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Find the values of x and y in parallelogram PQRS.
PT=y, TR=4x+1, QT=2y, TS=5x+8
The values of x and y in parallelogram PQRS are x =2 and y = 9
How to determine the values of x and y in parallelogram PQRSFrom the question, we have the following parameters that can be used in our computation:
The parallelogram
On the parallelogram, we have the following readings
PT=y, TR=4x+1, QT=2y, TS=5x+8
Rewrite them as
PT= y
TR = 4x + 1
QT = 2y
TS = 5x + 8
Because the point T is the midpoint of the parallelogram, we have
PT = TR
QT = TS
Substitute the known values in the above equation, so, we have the following representation
y = 4x + 1
2y = 5x + 8
This means that
8x + 2 = 5x + 8
Evaluate the like terms
3x = 6
So, we have
x = 2
Substitute x = 2 in y = 4x + 1
y = 4 x 2 + 1
So, we have
y = 9
Hence, the values are 2 and 9
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What is 2 4 reflected across the Y?
The point (2, -4) is reflected across the line y = -1.
The coordinates of the image is (4, -4).
coordinates
Any of a set of numbers used in specifying the location of a point on a line, on a surface, or in space.
Coordinates are a pair of numbers which are used to determine the position of a point or a shape in a 2-dimensional plane. We define the position of a point on a 2D plane using two numbers, called the x-coordinate and the y-coordinate.
Numbers
A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.
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Please help me really fast
Answer:
Step-by-step explanation:
(0,-7) is the correct one. How I got this answer is cheese.
A single pump can add only 0.35 pound of air into a bicycle tire. The bicycle tire will hold a maximum of 640 ounces of air per square inch. How many pumps are required to inflate the bicycle tire to maximum pressure?
A.15 pumps
B. 115 pumps
C. 225 pumps
D. 1,829 pumps
The bicycle tire needs an amount of 115 pumps to be fully inflated. (Correct choice: B)
How many pumps are required to inflate the bicycle tire to maximum pressure
In this problem we need to determine the number of pumps needed to inflate the bicycle tire at maximum pressure, this number (n) is equal to the maximum capacity of the tire (V), in ounces, and the mass added by a single pump (p), in ounces:
n = V / p
If we know that V = 640 oz and p = 5.6 oz (1 lb = 16 oz), then the number of pumps is:
n = 640 oz / 5.6 oz
n = 114.286
n = 115
An amount of 115 pumps are needed to inflate the bicycle tire to maximum pressure.
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I need to know the andwer to 0.03 divided by 0.81 in division of decimals
Answer: 0.0370 (Italic part repeats forever)
Step-by-step explanation:
Answer: 0.037...
Step-by-step explanation: