Step-by-step explanation:
Let x be the diagonal distance,
by pythagoras' theorem,
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
where c is the diagonal
a and b are the 2nd and 3rd longest side, interchangeable.
given a = 50m, b = 25m,
[tex] {c}^{2} = {50}^{2} + {25}^{2} \\ {c}^{2} = 2500 + 625 \\ {c}^{2} = 3125 \\ c = \sqrt{3125} \\ = 55.9m \: (nearest \: tenth)[/tex]
kk where my brainliest
Step-by-step explanation:
Explanation: You can find the diagonal of a rectangle if you have the width and the height. The diagonal equals the square root of the width squared plus the height squared.
How do you find a unique value?
Utilize Excel's Advanced Filter to locate singular values. You have the option of extracting unique values or filtering for them. Use the magical UNIQUE function if you have Excel 365 or Excel 2021.
How can I develop a distinctive value proposition?To develop a distinctive value proposition that complements a company's objectives and core principles, think about doing the following seven steps: 1. Examine the offerings of the business. When developing a distinctive value proposition, a company's products or services might serve as a source of inspiration. These services demonstrate the value the business provides to its clients.
How can I acquire an Excel list of unique values?Select a data set cell by clicking it.
Then, choose Advanced from the Sort&Filter group by clicking the Data tab.
Select "Copy to Another Location" from the menu.
Excel will show the List Range as the cell reference for the whole data set or Table object.
If there is a criteria range, remove it.
You should always provide a text label at the top of each data column when using Excel's Advanced Filter.
1. Select a list range cell by clicking it.
2. Click Advanced under the Sort & Filter category on the Data tab.
The dialog box for the Advanced Filter opens.
3. Click the Copy button (see image below).
4. Select cell C1 by clicking in the Copy to box.
5. Verify only unique records.
6. Press OK.
Lion in cell A7 and Elephant in cell A9 are two examples of duplicate values that Excel eliminates before sending
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Braden salazar was deployed in a combat zone for all of 2021. He is married and has two children. Braden's nontaxable combat pay in 2021 is $14,000. His wife worked part-time while braden was deployed and earned $7,000. What is the maximum amount of earned income the salazars can report for eitc purposes in 2021?.
The amount of earned income the Salazars can report for EITC purposes in 2021 is $21,000.
The maximum amount of earned income the Salazars can report for EITC purposes in 2021 is $21,000. This is calculated by adding Braden's nontaxable combat pay ($14,000) and his wife's earned income ($7,000).
Formula:
Maximum Earned Income for EITC = Braden's Nontaxable Combat Pay + Wife's Earned Income
Maximum Earned Income for EITC = $14,000 + $7,000
Maximum Earned Income for EITC = $21,000
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How many rows and columns are there in Excel 2007?
A maximum of 1,048,576 rows are allowed in Microsoft Excel 2007. 15,384 columns. Columns and rows make up an Excel spreadsheet.
what are columns and rows ?The arrangement of items next to or horizontally across one another is referred to as a row. As a vertical grouping of items according to category, a column can be said to exist. Left to right is the direction of arranging. From top to bottom, the set up is made. At far right is where the total is displayed.
here
Numbers 1, 2, 3, and 4 are used to designate the rows, which are horizontally oriented.
A, B, C, D, etc., are used to denote the letters that run horizontally along the columns.
Cells are what happen when a column and row intersect.
A maximum of 1,048,576 rows are allowed in Microsoft Excel 2007. 15,384 columns.
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please help me with this question
step by step please
Answer:
[tex]36.77150[/tex], or 37 (rounded)
Step-by-step explanation:
1. [tex]\sqrt{97} = 9.84885[/tex]
2. [tex]9.84885[/tex] + [tex]8.169178744[/tex] = [tex]18.01803[/tex]
3. [tex]\frac{18.01803}{0.49}[/tex]
4. = [tex]36.77150[/tex]
You can simplify 36.77150 to 37
... Hope this helped! Have a wonderful New Year!
The value of the equation is A = 36.77
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = ( √97 + 2.014³ ) / 0.49 be equation (1)
On simplifying the equation , we get
√97 = 9.8488578
2.014³ = 8.169178744
Substituting the values in the equation , we get
A = ( 9.8488578 + 8.169178744 ) / 0.49
A = 18.018036544 / 0.49
A = 36.77150
Therefore , the value of A is 36.77
Hence , the equation is A = 36.77
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find the equation of tangent normal to the curve y=3x-x^3 at points where it cuts the x-axis
Correct Question:-
Find the equations of lines normal to the curve [tex]\rm{y=3x-x^3}[/tex] at points where it cuts the x axis.
[tex]\quad[/tex]
Solution:-
The given curve,
[tex]\longrightarrow\rm{y=3x-x^3}[/tex]
Differentiating wrt x we get,
[tex]\longrightarrow\rm{\dfrac{dy}{dx}=3-3x^2}[/tex]
This term is slope of tangent on the curve at a point (x, y).
Taking reciprocal,
[tex]\longrightarrow\rm{\dfrac{dx}{dy}=\dfrac{1}{3-3x^2}}[/tex]
and multiplying by -1,
[tex]\longrightarrow\rm{-\dfrac{dx}{dy}=\dfrac{1}{3x^2-3}}[/tex]
Now this term is slope of normal on the curve at a point (x, y).
[tex]\longrightarrow\rm{n(x)=\dfrac{1}{3(x^2-1)}}[/tex]
[tex]\quad[/tex]
The points where the curve [tex]\rm{y=3x-x^3}[/tex] cuts x axis is obtained by equating y = 0.
[tex]\longrightarrow\rm{0=y}[/tex]
[tex]\longrightarrow\rm{0=3x-x^3}[/tex]
[tex]\longrightarrow\rm{0=x(3-x^2)}[/tex]
[tex]\longrightarrow\rm{0=x(\sqrt3-x)(\sqrt3+x)}[/tex]
[tex]\Longrightarrow\rm{x\in\left\{-\sqrt3,\ 0,\ \sqrt3\right\}}[/tex]
So the points where the curve cuts x axis are (-√3, 0), (0, 0) and (√3, 0).
[tex]\quad[/tex]
Consider the point (-√3, 0).
The slope of normal at this point is,
[tex]\longrightarrow\rm{n(-\sqrt3)=\dfrac{1}{3((-\sqrt3)^2-1)}}[/tex]
[tex]\longrightarrow\rm{n(-\sqrt3)=\dfrac{1}{6}}[/tex]
Then equation of normal at this point is,
[tex]\longrightarrow\rm{y-0=\dfrac{1}{6}(x+\sqrt3)}[/tex]
[tex]\longrightarrow\bf{x-6y+\sqrt3=0}[/tex]
[tex]\quad[/tex]
Consider the point (0, 0).
The slope of normal at this point is,
[tex]\longrightarrow\rm{n(0)=\dfrac{1}{3((0)^2-1)}}[/tex]
[tex]\longrightarrow\rm{n(0)=-\dfrac{1}{3}}[/tex]
Then equation of normal at this point is,
[tex]\longrightarrow\rm{y-0=-\dfrac{1}{3}(x-0)}[/tex]
[tex]\longrightarrow\bf{x+3y=0}[/tex]
[tex]\quad[/tex]
Consider the point (√3, 0).
The slope of normal at this point is,
[tex]\longrightarrow\rm{n(\sqrt3)=\dfrac{1}{3((\sqrt3)^2-1)}}[/tex]
[tex]\longrightarrow\rm{n(\sqrt3)=\dfrac{1}{6}}[/tex]
Then equation of normal at this point is,
[tex]\longrightarrow\rm{y-0=\dfrac{1}{6}(x-\sqrt3)}[/tex]
[tex]\longrightarrow\bf{x-6y-\sqrt3=0}[/tex]
[tex]\quad[/tex]
Hence the equations of lines normal to the curve [tex]\rm{y=3x-x^3}[/tex] at points where it cuts x axis are,
[tex]\longrightarrow\left\{\begin{array}{ll}\bf{x-6y-\sqrt3}&\bf{=0}\\\bf{x+3y}&\bf{=0}\\\bf{x-6y+\sqrt3}&\bf{=0}\end{array}\right.[/tex]
What is the slope of the line that passes through the points (2,−3) and(1,−2)? Write your answer in simplest form.
Answer: -1
Step-by-step explanation:
slope form is [tex]m = \frac{y^{2} - y^{1} }{x^{2} - x^{1} }.[/tex] M is the slope. x1 and y1 are coordinates of a point along the line. x2 and y2 are the coordinates of another point along the line.
So we need to substitute in the points you have. let's put in (1, -2) for x1 and y1, and (2, -3) in x2 and y2. it makes [tex]m = \frac{-3-(-2)}{2-1}[/tex]
Now all you have to do is solve the equation.
[tex]m = \frac{-3-(-2)}{2-1}[/tex]
[tex]m = \frac{-1}{1}[/tex]
m = -1
(btw the line's equation would be y = -x - 1)
Answer:
-1
Step-by-step explanation:
To find the slope between two points we can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -2 - -3)/(1 -2)
= ( -2 +3)/( 1-2)
= 1/-1
= -1
I'm giving all the points I got man, pls help me with this geometry question
Answer:
Vertex = (0,0)
Focus = (0, -1/8)
Axis of symmetry; x = 0
directrix, y = 1/8
graph: (attached picture)
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-Answer:
Vertex = (0,0)
Focus = (0, -1/8)
Axis of symmetry; x = 0
directrix, y = 1/8
Step-by-step explanation:
How do you find 3 missing angles?
An angle is a figure found by two rays with the same initial point. In geometry, various names are given to different angles and their combinations depending upon the type of angles they make.
various geometrical shapes such as a triangle or a quadrilateral contain a set of angles that are governed by a set of rules.
For example, there are three interior angles in a triangle, the sum of which is always equal to 180 degrees. This means that if we are cultured of two of the angles in a triangle, we can find the third.
alike using different rules and the available information we can find the missing angle in a geometrical figure.
But, before understanding different state where we can find the missing angles, we should first recall some of the properties of different geometric shapes that will be useful in finding missing angles.
1. The sum of the measure of the three interior angles of a triangle is always 180 degrees.
2. If one of the angles of a triangle is 90 degrees, the sides that make the right angle is called the base and the perpendicular while the third side is called the hypotenuse.
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Is equidistant the same as parallel?
In Euclidean geometry, parallel lines (lines that never intersect) are equidistant in the sense that the distance of any point on one line from the nearest point on the other line is the same for all points.
A point is said to be equally far from a group of objects if there is an equal distance between it and each member of the group.
The perpendicular bisector of two specified (different) points is their location in two-dimensional Euclidean geometry. The locus of points equidistant from two provided points in three dimensions is a plane, and generalizing further, the locus of points equidistant from two given locations in n-dimensional space is a (n1)-space.
The circumcenter of a triangle is a location that is equally spaced from each of the three vertices.
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The coordinate 2 has a weight of 2,
the coordinate 3 has a weight of 2,
and the coordinate 10 has a weight of 1.
Find the weighted average.
The coordinates' weighted average is 4
How is the weight average calculated?The "weighted average" is the average of a group of numbers, each of which has a unique "weight" or value. Add the results after dividing each number by its weight to obtain the weighted average. A weighted average or mean is one in which, as opposed to considering each item equally, each item being averaged is multiplied by a number (weight) based on the item's relative importance.The given parameters are:
Coordinate 2 has a weight of 2
Coordinate 3 has a weight of 2
Coordinate 10 has a weight of 1
The weight average is then calculated as:
Weight average = Sum of (Weight * Coordinate)/Sum of Weights
So, we have:
Weight average = (2 × 2 + 3 ×2 + 10 × 1)/(2 + 2 + 1)
Evaluate the quotient
Weight average = 4
Hence, the weight average of the coordinates is 4.
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in example 11.3 (p. 270), when bob jumps on the cart, what kind of collision is this?
Since Bob jumps on the cart in example 11.3 (p. 270), a kind of collision which this represents is: d) Perfectly inelastic.
What is an elastic collision?An elastic collision can be defined as a type of collision between two objects wherein the total kinetic energy of the two objects remains the same after the collision. This ultimately implies that, there isn't a net loss of momentum and kinetic energy within the system due to the collision.
What is an inelastic collision?An inelastic collision can be defined as a type of collision between two objects wherein the total kinetic energy of the two objects changes the same after the collision. This ultimately implies that, there is a net loss of momentum and kinetic energy within the system due to the collision.
In this context, we can reasonably infer and logically deduce that the coefficient of restitution would be equal to zero (0) when bob jumps on the cart, resulting in a perfectly inelastic inelastic collision.
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Complete Question:
In example 11.3 (p. 270), when Bob jumps on the cart, what kind of collision is this?
a) Inelastic, but not perfectly inelastic
b) Rigid
c) Elastic
d) Perfectly inelastic.
Solve this system of equations by graphing. First graph the equations, and then type the solution.
The graph of the equation given is mentioned below.
What is plot point in graph ?
Whenever we draw a point on our grid, we'll call it "plotting a point." The grid is really called a "graph" and the points we plot are called "coordinates." These are really locations on a plane -- we're just finding and labeling them.
Equation given,
y = 3/5x - 1 ----eq(i)
y = 2/5x -----eq(ii)
Now, for this two equation we infinite points for real numbers.
Now, take some points to plot the graph.
First for the eq(i)
Put x = 0, so y = -1
Put x = 5, so y = 2
Points for eq(i) is (0, -1) and (5, 2)
Now, for eq(ii)
Put x = 0, so y = 0
Put x = 5, so y = 2
Points for eq(ii) is (0, 0) and (5, 2)
Common point is (5, 2)
Now, plot this point on graph.
Hence, for more clarity graph of the equation given is mentioned below.
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What are the 3 types of real numbers?
Three types of numbers fall under the heading of "real numbers," which we will discuss in a moment. Real numbers include all types of numbers, including whole, rational, and irrational numbers.
What is Real number?A real number is a quantity that may be represented mathematically by an endless decimal expansion. In contrast to the counting-derived natural numbers 1, 2, 3,..., real numbers are used to quantify constantly altering quantities such as size and time. Rational and irrational numbers are both included in real numbers. Real numbers include both irrational and rational numbers such as 3, 22/7, and integers such as (-2, 0, 1), fractions such as (1/2), and decimal numbers such as (1/2).
whole = 0,1,2,3,4,5,6,7,8,9...….
rational = 1,2,3,3/4,5/6,...…
irrational = [tex]\sqrt{8}[/tex], etc
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How do you know when a graph is inequality?
Observing the graph and the lines drawn, The graph is inequality is known if it is showing the region for which the inequality exists. Usually it is shown with arrows at the end of the line.
What do you mean by inequality?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made. Less than, larger than, less than or equal to, and more than or equal to are the four fundamental inequalities.
What do you mean by graph?The graph of a function f in mathematics is the collection of ordered pairs where f(x)=y. These pairs are Cartesian coordinates of points in two-dimensional space and so form a subset of this plane in the typical situation when x and f(x) are real integers.
Using a given graph,
We know that the graph is inequality if it is showing the region where the inequality exists,
It is usually shown using arrows at the end of the line towards the direction where the inequality is satisfied.
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plss hellppp, I've been stuckk on this questionn
Answer:
we can conclude that there are 3 solid combined in this
a + b + c = d as the total volume
[(6)(6)(2)] + [(6)(3)2)] + [(6)(2)(2)]
= 72 + 36 + 24
= 132 ft³
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-3.6432 rounded to the nearest hundredth
Answer: 3.64
Step-by-step explanation:
3.64
What is the Nearest Hundredth?
Nearest hundredth is the second digit after the decimal point.
How to Calculate Rounding to the Nearest 100th?
If the digit after hundredth is greater than or equal to 5, add 1 to hundredth. Else remove the digit. Example
124.586
The third digit of right of decimal point is 6
The second digit after decimal point is 8 which is greater than 5
So add 1 to 8
Result = 124.59
its 3.6400 I believe since you are rounding to the nearest hundredth which would be in the 2nd place value to the right of the decimal and 32 would round down to 0.
What is ten more than twenty?
10 more than 20 will be Addition of 10 and 20 which is supposed to be 10 plus 20 = 30.
Addition is the process of combining items and counting them as a single large group. The process of adding two or more numbers together is known as addition in mathematics. The terms addends and total both refer to the numbers that are added and the result of the operation.
The SUM is the result or conclusion that results from adding two or more integers. Addends are the numbers that are added.
We simply changed "more than" to "plus" and found the answer to the straightforward math issue. It is equivalent to 10 + 20 to add 10 to 20. Therefore, the answer is 30 once more.
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Use the method of completing the square to transform the equation 3x^2−12x+8=0. Which equation shows the transformed equation?
Is my answer correct?
By completing squares, we can rewrite the quadratic equation as:
3*(x - 2)^2 = 4
How to complete squares?Here we have the quadratic equation:
3x^2 - 12x + 8 = 0
If we take "3" as a common factor for the first two terms:
3*(x^2 - 4x) + 8 = 0
Now we can add and subtract 12, then we will get:
3*(x^2 - 4x) + 8 = 0
3*(x^2 - 4x) + 8 +12 - 12 = 0
We can put the positive one inside the parenthesis:
3*(x^2 - 4x + 4) + 8 - 12 = 0
3*(x - 2)^2 - 4= 0
3*(x - 2)^2 = 4
That is our quadratic equation, the correct option is the third one.
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What stays the same when you perform a rigid motion transformation?
When a point or object is moved but its size and shape don't change, it is said to have undergone rigid motion, sometimes referred to as a rigid transformation.
What is rigid motion transformations?The separation between each pair of the geometric object's points is preserved during a rigorous change of the object. In other words, a rigid transformation maintains the object's size and shape. For instance, the rigid transformation of a triangle retains the angles and lengths of the triangle. Imagine a stiff shape distortion, similar to a cardboard shape. The form remains the same after being pushed left and right, rotated, and flipped.
When the mold was created using putty, the opposite was true. The thing can then be twisted and stretched. These conversions, nevertheless, are not exact. Stretching a form alters the distances between each pair of its points.
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some students equally share 8 baskets of pears. each basket has 11 pears. Write an algebraic expression to represent this situation. Then explain how you chose which variable and operations to use.
The algebraic expression for each student is 88/x
How to determine the algebraic expression to represent this situationFrom the question, we have the following parameters that can be used in our computation:
Number of baskets = 8
Pears in each basket = 11
The total number of pear is calculated as
The total number of pear = Number of baskets * Pears in each basket
Substitute the known values in the above equation, so, we have the following representation
The total number of pear = 8 * 11
Evaluate
The total number of pear = 88
Represent the students with x
So, the expression is 88/x
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Clinical trials enroll individual subjects and enable randomization of subjects to receive or not receive the intervention. True or False
The given statement w.r.t clinical trials is true.
What are clinical trials?Clinical trials are prospective biomedical or behavioral research studies on human participants designed to answer specific questions about biomedical or behavioral interventions, including new treatments and known interventions that warrant further study and comparison.
Given is a statement about the clinical trials.
The given statement that Clinical trials enroll individual subjects and enable randomization of subjects to receive or not receive the intervention is true.
Therefore, the given statement w.r.t clinical trials is true.
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PLEASE HELP ASAP
At a local high school, the student population is growing at 12% a year. If the original population was 242 students, how long will it take the population to reach 300 students? Round to the nearest tenth of a year.
A. 0.7 Years
B. 3.2 Years
C. 1.9 Years
It will take 2 year the population to reach 300 students.
What is rounding to the nearest tenth?
Look at the hundredth number to round the decimal number to the nearest tenth. If it's more than 5, add one to the tenth value. Remove all the numbers that are present after the tenth place and leave the tenth place value alone if it is less than 5. To the nearest tenth, 4.6, for instance, is 4.624.
Given that, the initial number of students is 242.
The student population is growing at 12% a year.
The number of students that increases is 300 - 242 = 58.
Applying formula
I = PRT
I = The number of students that increased = 58
P = initial number of students = 242
T = Time
R = rate of increasing =12% = 0.12
Therefore,
58 = 242 × T × 0.12
T = 58/(242 × 0.12)
T = 1.997
T = 2.0 years
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Which is not a solution to the inequality: 3x+13= -8.
A. -8
B. -7
C. -6
D.-5
Answer:
All the options except for option B.
Answer:
A,C and D are not.
where as B is solution
HELP PLSSS I NEED TO SHOW WORK ALSO … The band has at most $3000 for its annual trip to Six Flags. The budget consisted of $1000 for travel cost, and $25 for each student's expenses. Write an inequality that represents the maximum number of sudents, x, that would be able to attend the trip. ( i’ll give you 50 points)
Answer: The maximum students that would be able to attend the trip is 40 students. Because 25 multiplied by 40 is = 1,000 and the budget is only 3,000 the answer is 40 students
Step-by-step explanation: Hope this helps =)
Raíz cuadrada de 64 la necesito para hoy, por favor
In fact, if we knew that 64 = 8 sqrt 64 = pm 8 64 = 8, then x would no longer be a function and would instead be a relationship, causing the graph to be repeated twice with the value 64. (en 8 y -8).
What is the 64-bit binary radix?For instance, the 64-bit number, which is written as 4, is 4, since 64. Additionally, it is the length of a 64-volume cube's arista.
Who is the sixth of 64?What our community finds fascinating. La raiz sexta es 2 because cuando dividimos 64/2 obtenemos un resultado especfico and cuando multiplicamos seis veces dos obtenemos 64.
conversation of 64 into binary
Binary value for 64 is 1000000. In a binary number system, we only utilize the digits 0 and 1, as opposed to the decimal number system, which uses the numbers 0 to 9 to express a number (bits).
= [tex]64_{10}[/tex] = [tex]1000000_{2}[/tex]
here, the binary of [tex]64_{2} = 1000000_{2}[/tex]
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Which is an expression for the derivative of P(x)=f(x)/1-f(x)?
Here the correct expression for the derivative of P(x) is: option B
What is mean by derivative?The fact that the initial function f implies a second, distinct function f′(x) gives origin to the name "derivative" (x). As a result, we have deduced one from another. When we deduce one from the other, the terms differential, etc. pertain more to the real mathematics that is taking place.
The definition of a derivative in mathematics is a technique for displaying the simultaneous rate of change. The amount by which the provided function is changing at a certain instant is thus represented by it.
The following are some uses for derivatives: to ascertain the pace at which one item is changing in relation to another. The saddle points of a function are used to calculate maximum and minimum. to establish a function's concavity and convexity.
P(x) = [tex]\frac{f(x)}{1-f(x)}[/tex]
or, [tex]\frac{d}{dx} P(x) =[/tex] [tex]\frac{d}{dx} \frac{f(x)}{1-f(x)}[/tex]
or, [tex]\frac{d}{dx} P(x) =[/tex] [tex]\frac{f'(x)}{1-f(x)}[/tex]
Correct option: B
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Please help!! very behind! 50 PTS
PICK BETWEEN:
ASSOCIATEIVE PROPERTY OF ADDITON
ASSOCIATIVE PROPERTY OF MULTIPLATION
COMMUNITAVE PROPERTY OF ADDITION
COMMUNITIVE PROPERTY OF MULTIPLICATION
DISTRIBUTIVE PROPERTY
Answer:
Line 1 to Line 2 = Distributive property
Line 2 to Line 3 = ASSOCIATIVE PROPERTY OF MULTIPLATION
Line 3 to line 4 = COMMUNITIVE PROPERTY OF MULTIPLICATION
Pls can you give me brainliest
pls :(
7. Airline fares for a flight from Dallas to Austin are $30 for first class and $25 for tourist class. If a
flight had 52 passengers who paid $1360, how many first class and tourist class passengers were
there?
Answer:
12 first class and 40 tourist
Step-by-step explanation:
Answer:
40 tourist class passengers, and 12 first class passengers.
Step-by-step explanation:
Here's my explanation:
We let X be the number of passengers booking for the tourist class.
If there were 52 passengers who paid 1360, then to find the number of passengers who booked first class, we write:
52-x
And if the airline fares are 30 per first class and 25 dollars for tourist class, you would say 30.00(first class)+25.00(tourist class)=1360
Using substitution, plug-in 52-x for the first class:
30(x)+25(52-x)=1360
30x+1560-25x=1360
1360-1560 =25x-30x
-200=-5x
x=40
Plug in 40 for x,
52-40=12
So, 40 tourist class passengers, and 12 first class passengers.
A runner sprinted for 198 yards . How many feet is this?
find the probability with which bob plays l in the mixed strategy equilibrium (round your answer to the 4th decimal).
The probability with which bob plays l in the mixed strategy equilibrium = 0.9090
What is Probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Here suppose Alice plays U with probability P and D * with probability ( 2 - P)
Therefore, when Bob plays L, Bob gets payoff 8 with probability P and (2) with probability ( 2 - P). Hence
= 8 * P + 2 * ( 2 - P)
= 8P +4 - 4P
= 4 + 8P
Also, when Bob plays R, Bob gets pay off 4 with probability P and 7 probability (2-P). Hence expected payoff is
= 4*P+7(2-P)
= 4P+14-7P
=14-3P
At mixed strategy nash equilibrium the expected payoffs are equal. hence,
4 +8P = 14-3P
3P+8P = 14-4
11P = 10
P = 10/11
P = 0.9090
In the mixed strategy equilibrium, Bob's chances of playing l are equal to 0.9090.
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Here suppose Alice plays U with probability P and D * with probability ( 2 - P)
Therefore, when Bob plays L, Bob gets payoff 8 with probability P and (2) with probability ( 2 - P). Hence
= 8 * P + 2 * ( 2 - P)
= 8P +4 - 4P
= 4 + 8P
Also, when Bob plays R, Bob gets pay off 4 with probability P and 7 probability (2-P). Hence expected payoff is
= 4*P+7(2-P)
= 4P+14-7P
=14-3P
At mixed strategy nash equilibrium the expected payoffs are equal. hence,
4 +8P = 14-3P
3P+8P = 14-4
11P = 10
P = 10/11
P = 0.9090
In the mixed strategy equilibrium, Bob's chances of playing l are equal to 0.9090.