The set of -values that are appropriate in the given situation is known as the practical domain. Solution: F (x) = 2 x is the function's formula.
What is a practical domain of a function?You are not accounting for or measuring any rainfall that occurred prior to the storm's onset, thus there is a total of 0 inches of precipitation at that time. Six and a half hours are spent in the storm.
Example :
Miami, Florida, experiences heavy rainfall due to a powerful hurricane. A 2 inch per hour downpour is occurring. In 6 and a half hours, the storm is over. The total amount of rain that has fallen throughout time should be modeled mathematically. The function is plotted. For this situation, identify the practical domain. The set of -values that are appropriate in the given situation is known as the practical domain.
Solution: Since there was no rain measured or included before the storm began, the function is as follows:
f(x)= 2x
There was 0 inches of rain at the moment the storm began. Six and a half hours are spent in the storm. f(6.5) = 2(6.5) = 13 inches of rain had been recorded at 6.5 hours, or so. It follows in words what the domain and range are:
Domain :
All real numbers between and including 0 and 6.5 hours.
Range :
All real numbers between and including 0 and 1.3 inches.
Domain and range can be expressed more easily with the help of some helpful notation, such as the following:
Domain { x∈R,0≤ x ≤ 6.5} [0,6.5]
Range { x∈R,0≤ x ≤ 6.13 [0,13].
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Is inverse function concave?.
The concept is the Concave function. The answer is yes if the inverse function is convex in nature.
In mathematics, a concave function is the opposite of a convex function. A concave feature is also referred to as downward concave, downward concave, upward convex, vertex convex, or top convex.
The slope of the inverse decreases as the slope of f increases. Thus the inverse of a convex differentiable function with a non-zero derivative is strictly concave.
In general, it can be shown that the inverse of a convex function is concave. Geometrically, a function is concave if its graph lies across its tangents. A function is concave if its graph lies below its tangent.
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What is the easiest way to find equivalent expressions?.
The easiest way to determine equivalent expressions for algebraic expression is by using the factoring.
Equivalent expression : In Algebra, equivalent expressions are algebraic expressions that, although they look different, turn out to really be the same. And since they are the same, they will produce the same results when same value substitute for their variables. For example, 3(x + 2) and 3x + 6 are equivalent expressions because the value of both expressions remains the same for any value of x. When writing equivalent expressions, we must be sure that each side of the equal number corresponds to the same number. Using the factoring :
Identify the common factors in the parts of the equation.It may be necessary to divide the equation to find an equivalent expression.If the expression is, 2xy + 4x, In this case, both numbers are divisible by 2.Take out the first common number :2(xy + 2x). As y see that there is
another common factor, x. So, we
get the result as 2x(y + 2).
Thus, the required equivalent expression is determined.
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What is the undefined terms of ray?.
The undefined terms of ray are-
PointLinePlaneThe best way to think of four geometric concepts is as "described and not defined." Since they are used to define other, more complex pieces, some fundamental elements in all branches of mathematics cannot be defined. The three undefined terms that serve as the foundation of Euclidean geometry in geometry can still be used to describe the other three terms. Mathematicians build worlds of concepts like angles, polygons, Platonic solids, Cartesian graphs, and more using descriptions of these four terms as a starting point.These terms are not any less useful or valid than other terms that emerge from them just because they are formally undefined. Theorems, proofs, and the definition of other words frequently make use of these four undefined terms.To learn more about rays here
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Ms.Rivers has art for specials every 2nd day, and Ms.Meyer has art 9th day. When will both classes have are on the same day?
Answer:
18th day
Step-by-step explanation:
so you basically have to find the Least common multiple
What are the zeros of the polynomial function f x x3 − 2x2 − 24x?.
The zeros of polynomial function f(x) = x³ - 2x² - 24x are x = 0, x = -4 and x = 6
Consider given function f(x) = x³ - 2x² - 24x
We know that the zeros of a function are nothing but the values of the variable of the function that makes the function value equal to 0.
To find the zeros of function f(x), we need to equate f(x) to zero then solve it for x.
⇒ f(x) = 0
⇒ x³ - 2x² - 24x = 0
⇒ x (x² - 2x - 24) = 0
⇒ x = 0 OR x² - 2x - 24 = 0
Now we solve quadratic equation x² - 2x - 24 = 0
x² - 2x - 24 = 0
x² - 6x + 4x - 24 = 0
(x - 6)(x + 4) = 0
x = 6 OR x = -4
Thus x = 0, x = -4 and x = 6 are zeros of given polynomial function.
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The complete question is:
What are the zeros of the polynomial function f(x) = x³ - 2x² - 24x?.
How large does the strength of an earthquake differ for a 1. 0 increment in the Richter magnitude scale?.
The strength of an earthquake differ for a 1. 0 increment in the Richter magnitude scale by 31 units.
American seismologists Charles F. Richter and Beno Gutenberg developed the Richter scale (ML), a numerical indicator of an earthquake's size, in 1935. The height of the greatest seismic wave, as measured by the logarithm of its amplitude (height), is used to calculate the earthquake's magnitude.
Although the original Richter scale has been supplanted by other, more precise scales in modern science, the Richter scale is still frequently used incorrectly in news reporting of earthquake severity as a catch-all name for the logarithmic scale that earthquakes are measured on.
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When constructing a perpendicular bisector of a segment, why should you make arcs with the same radius from each endpoint? select the true statement.
Arcs with the same radius from each endpoint will help you locate the midpoint of the segment more accurately.
When constructing a perpendicular bisector of a segment, it is important to make arcs with the same radius from each endpoint. This will help you to locate the midpoint of the segment more accurately. By using arcs of the same radius, you can ensure that the bisector is perfectly perpendicular to the segment. When the two arcs intersect, the midpoint of the segment will be the point of intersection. This will also ensure that the bisector is exactly in the middle of the segment, as the two arcs with the same radius will be of equal length. By constructing arcs with the same radius, you can achieve a precise and accurate perpendicular bisector of the segment.
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What is the answer to this problem I need help please and thank you .9-z+3-2z=
Answer:
12 - 3z or 3 .9 - 3z
Step-by-step explanation:
1 - if it is just a "9" and not a "0 .9" the answer is "12-3z". You will have to isolate the expressions with the "z" (the 2z and the z). They have a "-" before them, so they are negative expressions (-2z and -z). When the letter is alone, we supose that is a whole, not a decimal, expression, so it is like "1z". After all, you will have two negative expressions, the "-1z" and the "-2z", then you will just add "-1z" and "-2x" (-1z + (-2z) = -1z -2z = -3z
Now, you will need to add "9" and "+3" (9 + (+3) = 9 + 3 = 12).
Now, you have a "-3z" and the "12", and you will add they (-3z + 12 = 12 + (-3z) = 12 - 3z).
2 - But, if it is a "0 .9" ( "0 .9" is the same of " .9" and not a "9" the answer is "3 .9 - 3z". Now it is the same as the number 1 (just do the same from the "You will have" to the "-1z -2z = -3z".
Now, you need to add "0 .9" and "+3" ( .9 + (+3) = .9 + 3 = 3 .9).
So, you have the "-3z" and the "3 .9", and you need to add them ( 3 .9 + (-3z) = 3 .9 - 3z ).
I recommend you to study more of rule of signs, like (-) + (-) = (+) and things like this.
Hope that I could help you
write an equivalent expression for 4x + 9 + 3y + 3x + 4
The equivalent expression for 4x + 9 + 3y + 3x + 4 is 7x + 3y + 13.
What is a good example of an equivalent expression?
Example Expressions Expressions That Are Equivalent Equivalent
Because both expressions have the same value for any value of x, 3(x + 2) and 3x + 6 are identical expressions. 3x + 6 = 3 × 4 + 6 = 18.
To write an equivalent expression, we can simplify the expression by combining like terms:
4x + 3x = 7x
9 + 4 = 13
So, the equivalent expression for 4x + 9 + 3y + 3x + 4 is 7x + 3y + 13.
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What is product of division?.
The number being divided is known as the dividend, the number dividing it is known as the divisor, and the result of the division is known as the quotient.
Factors are the numbers that are being multiplied, and the result of the multiplication is known as the product. Dividend, divisor, and quotient are the terms used to describe the three numbers involved in division: the dividend, the divisor, and the result of the division, the quotient.
The arithmetic procedures of multiplication and division are related and developed from commonplace situations. Multiplication is the same as repeated addition for whole numbers, hence repeated addition exercises are frequently used to teach multiplication.
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How to add two rational expressions with different denominators?.
Find the lowest common denominator before adding rational expressions. It is obvious that this is the common denominator because the denominator of the first fraction factors to 2(x+2).
Least Common Denominator (LCD): The smallest expression that is divisible by the original denominators is known as the LCD of two or more rational expressions. We need to locate all the denominators of our rational expressions in order to find the LCD.The addition and subtraction of rational expressions resembles those of fractions. Remember that if the denominators are the same, we can add or subtract the numerators and then write the result over the shared denominator. When dealing with rational expressions, a polynomial will serve as the common denominator.To learn more about Rational expression here
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How do you find the inverse of a linear graph?.
The inverse of the linear graph can be found by interchanging the values of x and y
When a function is stated in the form y = mx + b, where m and b are real integers and m is not equal to 0, the function is said to be linear. A linear graph is the graph of a linear function. The inverse of a linear graph can be found in two steps -
The first step is to replace the value of y with x and x with y in the original equation of the linear function.The second step is to solve the equation for x in terms of y, which will give the inverse function.For example, if the linear function equation is y = 3x + s, the inverse function can be found by swapping x and y, and solving the equation for x: y = 3x + 2 and x = 3y + 2. Alternatively, the inverse function can also be determined by interchanging x and y values and changing the sign of the slope of the original function. Therefore, the inverse function of y = 3x + 2 is x = (2/3)y - 2/3
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If you were to graph the inequality would the arrow point to the left or right? x<17
The arrow point to the left for the inequality x < 17.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Given that inequality is x < 17. When the inequality is plotted on the graph it will highlight the values that are less than the number 17. The graph of the inequality is attached with the answer below.
Hence, the arrow for the given inequality will point to the left side.
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[tex]y=kx[/tex]
If [tex]y=42[/tex] when [tex]x=70[/tex], what is the value of K?
Give any decimal answers to 1 d.p
Answer:
k=0.6
Step-by-step explanation:
y=kx
42=k(70)
42=70k
k=0.6
Find a bae and exponent form for the following number without uing the exponent 1
The exponent form of 1,000,000 is [tex]10^{6}[/tex] and the base of 1,000,000 is 10.
The term 'power' in mathematics refers to increasing a base number to its exponent. It signifies the "base number" and "exponent" as the two fundamental elements of powers.
The exponent represents the number of times the base number is multiplied, whereas the base number is defined as a number multiplied by itself. We can see exponent terms in many scientific notations to denote the large numbers as the powers of 10.
In a nutshell, power is a number expressed using exponents. It means that the same factor is multiplied multiple times.
Thus, The exponent form of 1,000,000 is [tex]10^{6}[/tex] and the base of 1,000,000 is 10.
Complete question: Find a base and exponent form for the following number without using the exponent 1,000,000.
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The base number is described as a number multiplied by itself, whereas the exponent shows how many times the base number has been multiplied. Many scientific notations use exponent terms to identify large values as powers of 10.
In a nutshell, a power is an exponentiated integer. It denotes numerous times of multiplying the same factor.
please help simplify:2^2010×5^2011/10^1000
Answer:
2^1010 x 5^1011
Step-by-step explanation:
This expression can be simplified by combining the exponents of the similar bases.
2^2010 x 5^2011 / 10^1000 = (2^2010 x 5^2011) / (2^1000 x 5^1000)
= (2^1010 x 5^1011) / 10^1000
The final answer is 2^1010 x 5^1011.
I really need help like tonight
Answer:
Angle 1- 36
Angle 2- 90
Angle 3- 54
Angle 4- 36
Angle 5- 90
Angle 6- 54
Angle 7- 128
Angle 8- 54
Angle 9- 128
Angle 10- 54
Angle 11- 36
Angle 12- 144
Angle 13- 36
Angle 14- 144
Zahara Smith i wondering how he can make her check tretch enough to afford her monthly cable, water, grocery, and cell phone bill. Zahara i concerned with
need. Limit. Need and want. Want and limit
Answer: Sam here it
Step-by-step explanation:
In the triangle below, m/A = x°, m/B = 3x°, m/C= 24°. Find the value of mA =?
29°
39°
36.5°
O 41.5°
Answer:
39°
Step-by-step explanation:
Basically, what you have to do is x+3x+24°=180° (since the measures of all sides inside all triangles is 180°). 4x+24°=180°. 4x=156°. x=39°.
please help this is due today!!!!
The unit rate for the speed of the snail is 4/3 cm/s
What is unit rate?A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
Given is a graph of distance vs time for the speed of a snail,
We need to find, unit rate for the speed of the snail by the given graph,
Since, we are given a coordinate (12, 16) therefore, the snail covers a distance of 16 cm in 12 sec,
Therefore, in 1 sec, it will cover = 16 / 12 = 4/3 cm/s
Hence, the unit rate for the speed of the snail is 4/3 cm/s
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What is limit in maths class 11?.
The limit is normally defined as
[tex]lim _{x- > c} f(x) = L[/tex]
It is read as “the limit of f of x, as x approaches c equals L”.
In mathematics, limits are the points at which a function approaches the output for the specified input values. Calculus and mathematical analysis depend heavily on limits, which are required to determine integrals, derivatives, and continuity. It is applied during the analysis process and always focuses on the function's behaviour at a certain time. The idea of the limit of a topological net broadens the definition of the limit of a sequence and relates it to the limit and direct limit in the theory category. In general, there are two sorts of integrals: definite integrals and indefinite integrals. The upper limit and lower limit for definite integrals are correctly defined.
Limits in maths are unique real numbers. Let us consider a real-valued function “f” and the real number “c”, the limit is normally defined as
[tex]lim _{x- > c} f(x) = L[/tex]
It is read as “the limit of f of x, as x approaches c equals L”. The “lim” shows the limit, and fact that function f(x) approaches the limit L as x approaches c is described by the right arrow.
A function may get close to two distinct limits. There are two scenarios: one in which the variable approaches its limit by values larger than the limit, and the other by values smaller than the limit. The right and left-hand limits still exist even though the limit is not specified in this situation.
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9x+3=57
hjdddddddddddd
Answer:
the value of x is 55/9 ok hope it helps
What is x divided 12;x= 2/3
Answer:
X is 18
Step-by-step explanation:
2/3 = 0.6666666666666667
12 divided by 18 = 0.6666666666666667
Help is very much appreciated need this by tmr.
A triangle has vertices A (2,-3), B (-2,1) and C (1,2). Find the midpoint of the side AB.
The midpoint of side AB is (0,-1)
How to find the midpoint of the Triangle?
To find the midpoint of a line segment, you need to find the average of the x-coordinates and the average of the y-coordinates of the two endpoints of the segment.
To find the midpoint of a line segment, you need to find the average of the x-coordinates and the average of the y-coordinates of the two endpoints of the segment.
The midpoint of side AB can be found using the coordinates of points A and B:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
Midpoint = ((2 -2)/2, (-3+1)/2)
Midpoint = (0,-1)
Hence, the midpoint of side AB is (0,-1)
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(5c³) - (2c⁵) = ?
please help
Answer:
[tex](5-2c^{2}) c^{3}[/tex]
Step-by-step explanation:
Factor out [tex]c^{3}[/tex]
[tex](5-2c^{2})[/tex] is not factored since it does not have any rational roots.
In two or more complete sentences, explain how to solve the cube root equation, x + 1 3 − 2 = 0 .
The value of x is 7 in the equation ∛x+1 - 2 =0
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is ∛x+1 - 2 =0
The first step is to figure out what the equation is. When unconventional math symbols are used, and when there are no grouping symbols identifying operands, that can be the most difficult step
∛x+1 - 2 =0
Add 2 on both the sides
∛x+1 = 2
Take cube on both the sides
x+1=2³
x+1=8
Subtract 1 from both sides
x=7
Hence, the value of x is 7 in the equation ∛x+1 - 2 =0
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Jake is buying baseball cards for his brother in college. The price of a card is based on its condition. The table shows the total cost of x number of cards for each condition.
Condition Total Cost
Poor x
Fair 1.75x
Good 9.5x
Excellent 20.5x
Like New 45.65x
He buys 6 that are in fair condition, 5 that are in good condition, and 2 that are in excellent condition. The shipping cost for the baseball cards is $4.00. What expression represents the total cost of buying and shipping the baseball cards?
The total cost of buying and shipping the baseball cards is given as follows:
$396.
How to obtain the total cost?The total cost is obtained applying the proportions in the context of this problem, considering the state of each card.
The amounts, along with their cost, are given as follows:
Fair: 6 x 1.75 x 4 = $42.Good: 5 x 9.5 x 4 = $190.Excellent: 2 x 20.5 x 4 = $164.Hence the total cost of buying and shipping the baseball cards is obtained as follows:
42 + 190 + 164 = $396.
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help me with this topic pls i need to finish 15 topics and i olny have 6 done :')
The amount of water in the tank at 0 minutes is equal to 150 liters.
As time increases, the amount of water in the tank increases by 100 liters per minute.
How to determine the amount of water in the tank at 0 minutes?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the data points.Next, we would determine the linear equation representing the line which passes through the points (0, 150) and (2, 350) by using the point-slope form as follows:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 150 = (350 - 150)/(2 - 0)(x - 0)
y - 150 = 100(x - 0)
y = 100x + 150
When x = 0 minutes, the amount of water in the tank is given by;
y = 100(0) + 150
y = 150 liters.
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How do you solve a 3 variable system of equations?.
When solving systems of equation with three variables we use the elimination method or the substitution method to make a system of two equations in two variables.
There are several methods to solve a system of equations with three variables, including substitution, elimination, and graphing. One common method is to use elimination, also known as the addition/subtraction method. This involves adding or subtracting equations in order to eliminate one of the variables and creating an equation with only two variables. Once you have a system of two equations with two variables, you can solve for one of the variables, substitute that value back into one of the original equations, and then solve for the remaining variable. After that you can use the value of the variables to find the values of the other variables.
Hence, When solving systems of equation with three variables we use the elimination method or the substitution method to make a system of two equations in two variables.
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The rental fee for a Quad to ride off road and on the beach is $80, plus $10.00 for each hour that you ride. Write an algebraic expression for the total cost of renting the Quad for h hours?
Expression: ____________
Use the expression to determine the cost of renting the Quad for three and a half hours.
Total Cost is $__________
Algebraic expression for the total cost of renting the Quad for h hours is $80 + $10h. Cost of renting the Quad for three and a half hours is $115.
Short note on algebraic expressions?A mathematical sentence that incorporates coefficients, unknowable variables, algebraic operations, and constants is called an algebraic expression. The equals symbol, however, is not allowed in an expression. A mathematical phrase known as an algebraic expression combines variables and constants using the operational (+, -, & &) symbols. The equal (=) symbol is absent from algebraic symbols. Algebraic expressions include, for example, 10x + 63 and 5x - 3.
The rental fee for a Quad is $80 and it costs an additional $10.00 for each hour that you ride. So the total cost of renting the Quad for h hours can be represented by the algebraic expression:
$80 + $10h
where h is the number of hours you rent.
To find the cost of renting the Quad for three and a half hours, we can substitute h = 3.5 into the expression:
$80 + $10(3.5) = $80 + $35 = $115
So the total cost of renting the Quad for three and a half hours is $115.
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