Polynomials are utilized in management, business, farming, computer science, and math-related fields.Expressions defining known and unknown numbers are created using variables and constants in all professions that need proficiency with polynomials.
where we can use Adding and Subtracting Polynomials in real life?
Finance Loan computations and firm valuation utilize an assessment of present value.In order to determine an equal liquid value (present, cash, or in-hand), it uses polynomials that back interest accumulation out of hypothetical future liquid transactions.Fortunately, if the payment schedule is regular, many payments can be rewritten in a straightforward manner.Economic and tax calculations can frequently be expressed as polynomials as well.Electronics
Polynomials are widely used in electronics.The polynomial V=IR, which defines resistance, connects the resistance of a resistor to the current flowing through it and the potential drop across it.While many conductors (but not all) abide by Ohm's law, this is comparable to that law but not the same.It claims that on a graph, the relationship between voltage drop and current flowing through a resistor is linear.In the equation V=IR, resistance is therefore constant.Electronics also uses other polynomials, such as P=IV=IR2, which describes the relationship between voltage drop and power loss.Kirchhoff's loop rule and the Kirchhoff's junction rule, which both describe voltage drop around closed circuits and the current at junctions, respectively, are polynomials.Curve Fitting
In both regression and interpolation, polynomials are fitted to data points.Regression is the process of fitting a large set of data points with a function, typically a line: y=mx+b.Numerous linear regression is used when there are multiple dependent variables (or "x"s) in the equation.Chemistry
In chemistry, polynomials are frequently used.The ideal gas law, PV=nRT (where n is the mole count and R is a proportionality constant), is an example of a gas equation linking diagnostic parameters that can typically be represented as a polynomial.Molecule concentration equations at equilibrium can alternatively be expressed as polynomials.For instance, the equilibrium concentration equation can be stated in terms of the related equilibrium constant K: KC=AB if A, B, and C are the concentrations of OH-, H3O+, and H2O in solution, respectively.Engineering and physics
Proportionality is a key study in both physics and engineering.How much does the beam deflect when a stress is raised?How far will a trajectory land if it is shot at a specific angle?F=ma (from Newton's laws of motion), E=mc2, and F—-r2=Gm1—-m2 (from Newton's law of gravitation, though typically the r2 is put in the denominator) are well-known examples from physics.To learn more about polynomials refer
https://brainly.com/question/4142886
#SPJ13
To use the law of sines, which of the following statements must be true?
A. At least one side length and opposite angle pair must be known.
B. At least two angles must be known.
C. The triangle must be a right triangle.
D. All three side lengths must be known.
For the application of the law of sine the true statement is that at least one side length and opposite angle pair must be known.
How to use the law of sine to solve triangle?The law of sine is used to solve the sides and angles of a triangle.
Law of sines defines the ratio of sides of a triangle and their respective sine angles are equivalent to each other.
In other words, the law of sines is defined as the ratio of side length to the sine of the opposite angle.
It holds for all the three sides of a triangle respective of their sides and angles.
Therefore, the law of sine can be expressed as follows:
a / sin A = b / sin B = c / sine C
Hence, the statement that is true is at least one side length and opposite angle pair must be known.
learn more on law of sine here: https://brainly.com/question/17145083
#SPJ1
please answer correctly 50 points
Answer:3
Step-by-step explanation:
Which ratio is equivalent to 9/78.
A: 1/8
B: 3/26
C: 1/3
D: 3/18
Answer:
3/26
Step-by-step explanation:
you simply divide both numbers by there largest lcm which is 3
9/3=3
78/3=26
Together 3/26
m - a + n + p , for a
The expression m = a + n + p can be written as a = m - n - p after making the subject a.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
The expression is:
m = a + n + p
To solve for a make the subject as a:
a = m - n - p
Thus, the expression m = a + n + p can be written as a = m - n - p after making the subject a.
The question is incomplete.
The complete question is:
Solve for a, if the expression is m = a + n + p.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ1
Evalúe the limit. Show steps
After evaluating the limit we have came to find that the limit of [tex]\lim_{x\rightarrow 2 }\frac{\sqrt{x-1} -1}{x-2}[/tex]as x approaches 2 is 0.5
What is limit?As an input or as an index approaches a specific value in mathematics, a limit is the value that the function, sequence, or index approaches. The definitions of continuity, derivatives, and integrals all require limits, which are fundamental to calculus and mathematical analysis.
In addition to having a connection to the category theory concepts of limit and direct limit, the idea of a limit of a sequence is further generalized to include the idea of a limit of a topological network.
A limit of a function is typically expressed in formulas as
[tex]{\displaystyle \lim _{x\to c}f(x)=L,}[/tex]
To find the limit we will use L'Hôpital's Rule
Find the derivative
⇒ [tex]\lim_{x\rightarrow 2 }\frac{\sqrt{x-1} -1}{x-2}[/tex]
⇒ [tex]\lim_{x\rightarrow 2 } \frac{1/2(x-1)^{-1/2}}{1}[/tex]
⇒ [tex]\lim_{x\rightarrow 2 } \frac{1}{2\sqrt{x-1} }[/tex]
Evalúe 2 as x
⇒ [tex]\frac{1}{2\sqrt{(2)-1} }[/tex]
⇒ [tex]\frac{1}{2\sqrt{1} }[/tex]
⇒ [tex]\frac{1}{2}[/tex]
⇒ 0.5
Learn more about limit
brainly.com/question/23935467
#SPJ10
A. Write the decimals in words.
Example: 32.76-thirty-two point seven six
1. 60.03 -
2. 209.11 -
Answer:
1. sixty point zero three OR sixty and 3 hundredths
2. two hundred and nine point one one OR two hundred nine and 11 hundredths
Rylie ate 12 of the 20 grapes that her mom packed in her lunch which decimal is equivalent to the fraction of grapes Riley ate?
Answer: 0.6
Step-by-step explanation: To find the decimal you seek, you put 12 over 20, 12/20. That means you divide it, so 12 divided by 20 is 0.6, or 60%.
Select the correct answer from each drop-down menu.
In a city, Broadway, Main Street, and Water Street all intersect to form a triangle. Broadway is 2000 m from Main Street to Water Street, Main Street
is 1600 m from Broadway to Water Street, and Water Street is 1200 m from Main Street to Broadway.
Complete the statement below.
In the triangle formed by the three streets, the greatest angle is the one formed by the intersection of
smallest angle is the one formed by the intersection of
Reset
Next
The
Using the Law of Sines, it is found that:
The greatest angle is formed by the intersection of Main Street and Water Street.The smallest angle is formed by the intersection of Broadway and Main Street.What is the law of sines?Suppose we have a triangle in which:
The length of the side opposite to angle A is given by a.The length of the side opposite to angle B is given by b.The length of the side opposite to angle C is given by c.The lengths and the sine of the angles are proportionally related as follows:
[tex]\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}[/tex]
From this relation, we have that:
The greatest angle is opposite the largest side.The smallest angle is opposite the smallest side.In this problem, we have that:
Broadway is the hypotenuse, hence the greatest angle is formed by the intersection of Main Street and Water Street.Due to the smaller distance, of 1200 m, compared to 1600 m and 2000 m, the smallest angle is formed by the intersection of Broadway and Main Street.More can be learned about the Law of Sines at https://brainly.com/question/27174058
#SPJ1
The table below displays results from experiments with polygraph instruments. Find the positive predictive value for the test. That is, find the probability that the subject lied, given that the test yields a positive result.
_ No_(Did_Not_Lie) Yes_(Lied)
Positive_test_results 10 45
Negative_test_results 34 12
Using it's concept, the probability that the subject lied, given that the test yields a positive result is of 9/11 = 0.8182 = 81.82%.
What is a probability?The probability of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.
In this problem, we want to find the probability that the subject lied, given that the test yields a positive result, hence:
The total outcomes are the tests resulting in a positive.The desired outcomes is the number of tests out of those positive in which the subject lied.From the table, we have that:
There were 10 + 45 = 55 positive test results.In 45 of those tests, the subject lied.Hence the probability is given as follows:
p = 45/55 = 9/11 (simplifying by 5)
p = 9/11 = 0.8182 = 81.82%.
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ1
Which complex number has an absolute value of 5?
WILL GIVE BRAINLYEST 100 POINTS 3 QUESTIONS WILL GIVE EXTRA POINTS
Answer:
The answer to the first question is the first option
The answer to the second question is the third option
the answer to the third one is the second option
Step-by-step explanation:
*I'm not 100% sure about these but it's probably right*
Answer:
1. First one
2. Third one
3. Second on
Step-by-step explanation:
(★ ω ★)
6. The table shows the equations Ms. Valer discussed in math class
Equations
6 x 10° 6
6 10¹ -60
6 x 10-600
6x 10³6,000
Explain the pattern of zeros in the product when multiplying
by powers of 10.
The product when multiplying by powers of 10 is 6 ×[tex]10^{10}[/tex] = 60000000000
What is multiplication ?The fundamental concept of repeatedly adding the same number is embodied in the process of multiplication. The outcome of multiplying two or more numbers is known as the product of those numbers, and the factors that are multiplied are referred to as the factors. The process of repeatedly adding the same number is made easier by multiplication.
Finding the product of two or more numbers is done by multiplication. It is a fundamental mathematical operation that is frequently applied in everyday situations. When combining groups of similar sizes, multiplication is utilized.
Given that :The table shows the equations Ms. Valer discussed in math class Equations
6 x 10°= 6
6× 10¹ =60
6 x 10=600
6x 10³=6,000
6 ×[tex]10^{10}[/tex] = 60000000000
To learn more about multiplication visit :
brainly.com/question/5992872
#SPJ13
Make x the subject of m=n+x/p
mp=n+x the P on the right side cancels out now you want to shift the n to the left side by subtracting it from both sides x=mp-n so that leaves us with the solution. m=n+x/p first you want to move the P over to the left side by x P so that leaves us with the answer. ...
mp=n+X X=mp-n, where m=n+x/p multiplies p on both sides.
How can you change the formula so that x is the subject?
To change x to the subject:Identify the variable by:Arrange the terms in the equation so that they are all on the same side of the equal sign, or =.If more than one term contains x, factorization may be required. ...Make a change to ensure that there is only one x variable remaining to serve as the subject.To learn more about m=n+x/p refer to:
https://brainly.com/question/16081948
#SPJ13
x = mp - n ( x as the subject of m= n+ x/p)
How to make x the subject of m = n +x/p ?
[tex]m =\frac{n+x}{p} \\\\mp = n+ x\\\\mp - n = x\\\\x= mp -n[/tex]
What is making x the subject?
Making x the subject of a formula or equation requires rearranging the formula or equation such that we have a single x variable that is equal to the other variables in the formula.The equation should be rearranged so that each term containing x is on the same side of the equation.If more than one term contains x, factorization may be required.Only one x must be displayed at the end in order to make it the subject. A number or variable can have a positive or negative result when we square root it as an inverse operation.To learn more about making x the subject, refer:
https://brainly.com/question/28640952
#SPJ13
A small order coffee company charges $12 for each bag of coffee +3 dollars shipping no matter how many bags are ordered. Describe the function that this situation gives rise to. make a table for this function, sketch a graph for this function, and find an equation for this function. Is the function linear or not? How can you tell?
A small order coffee company charges $12 for each bag of coffee +3 dollars shipping no matter how many bags are ordered. Describe the function that this situation gives rise to. make a table for this function, sketch a graph for this function, and find an equation for this function. Is the function linear or not? How can you tell?
Step 1
Describe the function,
.
Let
x, the number of bags
shipping = 3 dollars
Charges=$12 for each bag, then
charges=12*x
Now, the total is
total=charges + shipping
total=12x +3
now, we have a function ( the total (y) depends on the number of bags)
[tex]y=12x+3[/tex]where
y is the total charge, and x is the numbers of bags
Step 2
assume values for x, replace and find y
x=-3
then y=12(-3)+3, y=-36+3, y=-33
so, when x=-3, y=-33
2
then y=12(-2)+3, y=-24+3, y=-21
so, when
x=-2, y=-21
1
then y=12(-1)+3, y=-12+3, y=-9
so, when
x=-1, y=-9
0
then y=12(0)+3, y=+3, y=3
so, when
x=0, y=3
1
then y=12(1)+3, y=12+3, y=15
so, when
x=1, y=15
the table is
x y
-3 -33
-2 -21
-1 -9
0 3
Step 3
, just sepick two cooridnadinates from the table mak, then mark those pintsoints, and finally, dwr in the planeaaw a line conceeecting he connectingnts
Step 4
as you can see, when we take the points of the table and we unite them, a line appears
so , this is a linear function
Also, the exponent of the variable ( x) is cero, which means it is a linear function.
Find 2 conservative numbers whose square differs by 25
The 2 conservative numbers whose square differs by 25 are 12 and 13.
How to illustrate the information?It should be noted that consersative numbers simply refer to the numbers hat follow each other continuously in a particular order. They include 1, ,2, 3, etc.
In this case, the two conservative numbers whose square differs by 25 are 12 and 13. This will be illustrated as:
= 13² - 12²
= 169 - 144
= 25
Therefore, the numbers are 12 and 13
Learn more about numbers on:
brainly.com/question/17200227
#SPJ1
I heard that I received a fourth rating from a customer on our customer service survey . What is my average monthly rating ?
Supervisor : “ you have been doing really well . You received ratings of 85, 90, 100 and 90 . What’s your monthly average ?
The average monthly rating is 91.25.
How to estimate averages?By adding a set of integers and then dividing by their count, the average, or arithmetic mean, is determined.Finding an average helps us determine a general pattern of behavior or trend.To compare different quantities of the same category, averages are utilized.In other words, the average is the proportion between the total number of observations and the sum of all observations presented.The common formula of average is:Average = Sum of the Observations/Number of Observations
Given:
The received ratings are 85, 90, 100, and 90.
Average monthly rating = Sum of ratings/ total number of ratings
= (85 + 90 + 100 + 90)/ 4
= 365/ 4
= 91.25
To learn more about averages visit:
https://brainly.com/question/21490633
#SPJ9
You are considering a 5/1 arm what does 5 represent
Your rate is temporarily fixed for a total of five years under a 5/1 ARM, indicated by the "5".
An adjustable-rate mortgage is what?A loan for a home is a mortgage with an adjustable interest rate (ARM). An ARM's initial interest rate is fixed for a specific period of time.
The "1" indicates the number of times the rate may change after the initial fixed-rate term expires; in this instance, the "1" equals one year, therefore the rate changes once a year.
The "5" in the word represents the period during which the rate will be fixed, and the "1" denotes the interval between adjustments after that (once per year). Therefore, it is already apparent how crucial insurance is.
Learn more about ARM on
https://brainly.com/question/1851670
#SPJ1
List 3 points that are on the line 5y= 3x - 7.
List 3 points that are on the line 5y= 3x - 7.
We know that the y-intercept is (0, -7)
We know that slope = 3 and slope = rise / run or 3 y for every 1 x
We can add 1 for the x and 3 for the y: (0, -7) to (1, -4).
We can do that again:add 1 for the x and 3 for the y: (1, -4) to (2, -1).
(0, -7)
(1, -4)
(2, -1)
y varies directly with x, and y = 40in when x = 15in
If y varies directly with x, that means there is going to be a constant that connects both the x and y variable.
[tex]\begin{gathered} \text{When x=15, and y=40, then} \\ k=\frac{y}{x} \\ k=\frac{40}{15} \\ k=\frac{8}{3} \\ \text{Therefore, the equation is going to be;} \\ y=\frac{8}{3}x \end{gathered}[/tex]The appropriate direct variation equation is stated above, and that is;
y = 8/3x
Evaluate -x + 3x¹ - 4 for x = 2.
Answer:
0
Step-by-step explanation:
[tex]x = 2 - x + 3x {}^{1} - 4 \\ [/tex]-2 +3.2' -4-2+3×2-4-2+6-40The sum of 5 times the first number and 6 times the second number is 235. The difference between 7 times the first number and 17 is 2 times the second number. Find both the numbers.
a) Using the variable x to represent the first number and y to represent the second number, write the information given in the first sentence, "The sum of 5 times the first number and 6 times the second number is 235."
Correct
b) Using the variable x to represent the first number and y to represent the second number, write the information given in the second sentence, "The difference between 7 times the first number and 17 is 2 times the second number."
Correct
c) Find both the numbers.
The first number is:
Correct
The second number is:
Correct
By using the elimination method, the numbers are 11 and 30
Consider the first number as x and the second number as y
Sum of 5 times the first number and 6 times the second number is 235
The linear equation will be
5x+6y = 235
The difference between 7 times the first number and 17 is 2 times the second number
7x-17 = 2y
Rearrange the terms
7x-2y = 17
The both equations are
5x+6y = 235
7x-2y = 17
Multiply the first equation by 2 and second equation by 6
10x+12y = 470
42x-12y = 102
Here we have to use the elimination method
Add both equation and y term will cancelled
10x+42x = 470+102
52x = 572
x = 11
Substitute the value of x in any equation
5x+6y =235
5(11)+6y = 235
55+6y = 235
6y = 180
y = 30
Hence, by using the elimination method, the numbers are 11 and 30
Learn more about elimination method here
brainly.com/question/14619835
#SPJ1
What is the value of c?
14=-2c-6-3c
Answer:
-4
Step-by-step explanation:
14= -5c-6
+6 +6
________
20 = -5c
÷-5 ÷-5
________
-4 = c
A restaurant is having a deal for Valentine's day and is offering a 4-course meal for $27.00. If there is a sales tax of 8 percent, what is the actual cost of the meal?
Answer:
$29.16
Step-by-step explanation:
You want the total cost of a $27 meal after 8% tax is added.
TaxThe amount of added tax is found by multiplying the meal cost by the tax rate:
0.08 × $27.00 = $2.16
TotalThe total cost is the meal cost plus the tax:
$27 +2.16 = $29.16 . . . . actual cost of the meal
__
Additional comment
The sum 27 + 0.08×27 can also be found by factoring out the 27:
= 27(1 +0.08) = 27×1.08
Convert (2,210 °) to rectangular form.
A. (1,-√3)
B. (-√3,-1)
C. (-√3,1)
D. (-1,-√3)
E. (√3,-1)
The answer is D. -1,-3. i just finished and got it right
A submarine at -20 feet descends 30 feet. What is the submarine's current location after the descent
The current location of the submarine would be -50 feet.
How to find the level of descent of the submarineThe questions says that the submarine was at -20 feet already.
Now it says that it descended 30 feet. Remember that the descent refers to a fall. Hence the way that it would be represented would be through the use of a negative sign.
This would be -30
The current location of the descent of the submarine would be
-20 - 30
= -50 feet
Therefore the current location of the submarine would be -50 feet.
Read more on descent here:
https://brainly.com/question/20114102?referrer=searchResults
#SPJ1
What is an equation in slope-intercept form for the line
perpendicular to y = 3x + 9 that
contains (-6, 3)?
An equation in slope-intercept form for the line perpendicular to y = 3x + 9 that contains (-6, 3) is 3 = -1/3(-6) + 1.
What is slope-intercept form?The most "popular" type of a straight line is one with a slope-intercept. Due to its simplicity, this is helpful to a lot of students. The slope and y-intercept of the straight line can be easily determined or read off from this form, making it possible to describe its properties without having access to the graph.
The equation for a line written in slope-intercept form
y = mx + b
Where,
m is the slope, and b is the y-intercept.
We know that the slope of a line perpendicular to given equation becomes reciprocal with opposite sign.
So, here slope is 3 and in perpendicular line it will become -1/3.
Now we will go with slope-intercept form and put the values (-6, 3) as x and y in y = mx + b
⇒ 3 = -1/3(-6) + b
Lets solve for b
⇒ b = 3 - ( -1/3(-6))
= 3 - (2)
= 1
Now we have the desired equation
3 = -1/3(-6) + 1
Thus, An equation in slope-intercept form for the line perpendicular to y = 3x + 9 that contains (-6, 3) is 3 = -1/3(-6) + 1.
Learn more about slope-intercept form
https://brainly.com/question/24907633
#SPJ13
Susan runs 4 miles in 30 minutes. At the same rate, how many minutes would she take to run 10 miles?
Answer:
It would take 75 minutes for Susan to run 10 miles.
Step-by-step explanation:
10 miles divided by 4 = 2.5
30 min. x 2.5 = 75 minutes
A figure is dilated by a factor of 3. Which of following statements about the image of the figure is true?
When an image is dilated by a factor of 3, the statement about the image of the figure that is true is Both the area and the perimeter increase.
What happens when a shape is dilated?When a shape is dilated, the effect on the shape is that its dimensions are made to be longer. For instance, a shape dilated by 2 would see all its dimensions increase by 2.
In the case of a figure that is dilated by a factor of 3, it means that the shape would increase by 3 in size.
The effect of this is that the perimeter would increase by 3. The area of the figure would also increase thanks to the increase in dimensions by 3.
Options for this question include:
The perimeter decreases.The area decreases.Both the area and the perimeter decrease.Both the area and the perimeter increase.Find out more on dilation at https://brainly.com/question/3457976
#SPJ1
What is the missing step in the sequence of transformations that will map figure 1 onto figure 2?
1.?
2. translation 3 units to the right
3. translation 4 units down
A. reflection across the x-axis
rotation 90° clockwise about the origin
rotation 270° clockwise about the origin
reflection across the origin
Answer: rotation 90° clockwise about the origin
The missing step is rotation 90° clockwise about the origin.
What is the translation?A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.
In the graph, triangle 1 is translated to triangle 2.
Triangle 1 has three transformations, rotation 90° clockwise, translation 3 units to the right and 4 units down.
Therefore, the missing step is rotation 90° clockwise about the origin.
To learn more about the translation visit:
https://brainly.com/question/17485121.
#SPJ2
Given the function g(x) = -3x + 4,compare and contrast g(-2) and g(4).Choosr the statement that is true concerning these two values
D. The value of g(-2) is greater than the value of g as a result (4).
What is function?
A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. Numbers, formulae, and related structures, shapes, and the spaces in which they are contained, as well as quantities and their variations, are all covered in the field of mathematics.
Given Data
function g(x) = -3x + 4,compare and contrast g(-2) and g(4)
We have provided that
g(x) = -3x + 4
g (-2) = -3 ( -2) + 4.
g (-2) = 6 + 4
g (-2) = 10 .
Now,
g (4) = -3 ( 4) + 4.
g (4) = -12 +4 .
g (4) = -8.
g (-2) > g (4)
10 > -8 .
D. The value of g(-2) is greater than the value of g as a result (4).
To learn more about function, visit:
https://brainly.com/question/180764
#SPJ9