Use SCILAB to solve, Show working
a) Create a polynomial P, where
P=2x4-x2+4x-6
b) Find the roots of the polynomial P in a.
above.
c) Create the polynomial Q, where x is the subject, with
the followin
Answers
To solve the problem using SCILAB: a) We can create the polynomial P by defining its coefficients and then using the `poly` function in SCILAB. For the given polynomial P = 2x^4 - x^2 + 4x - 6, the coefficients are [2, 0, -1, 4, -6]. Using the code `P = poly([2, 0, -1, 4, -6], 'x')`, we obtain the polynomial P.
b) To find the roots of the polynomial P, we can use the `roots` function in SCILAB. By applying the code `roots_P = roots(P)`, we calculate the roots of the polynomial P.
c) To create the polynomial Q with x as the subject, we need to rearrange the equation. We can isolate x by rewriting the equation in the form x^n = (-b/a)*x^(n-1) - ... - c/a. The coefficients of the rearranged equation are obtained by dividing the coefficients of P by the leading coefficient. Using the `poly` function with the rearranged coefficients, we create the polynomial Q. In summary, by utilizing SCILAB, we can create the polynomial P, find its roots, and create the polynomial Q with x as the subject. The SCILAB code for these steps is provided in the previous response.
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Related Questions
Five thousand dollars is deposited into a savings account at 7.5% interest compounded continuously. (a) What is the formula for A(t), the balance after t years? (b) What differential equation is satisfied by A(t), the balance after t years? (c) How much money will be in the account after 2 years? (d) When will the balance reach $7000 ? (e) How fast is the balance growing when it reaches $7000 ? (a) A(t)= (b) A
′
(t)= (c) $ (Round to the nearest cent as needed.) (d) After years the balance will reach $7000. (Round to one decimal place as needed.) (e) The investment is growing at the rate of $ per year. (Type an integer or decimal rounded to two decimal places as needed.)
Answers
a) The Formula for A(t) is A(t) = 5000 \(e^{0.075t\)
b) The differential equation is satisfied by A(t) is
dA/ dt = 375 \(e^{0.075t\)
c) Amount after 2 year is $5, 809.
d) t= 4.48 years
We have,
R= 7.5%
P= $5000
a) The Formula for A(t) is
A(t) = P\(e^{rt\)
Where P is Principal , t is time.
So, A(t) = 5000 \(e^{0.075t\)
b) The differential equation is satisfied by A(t) is
dA/ dt = 375 \(e^{0.075t\)
c) Amount after 2 year
A(2) = 5000 (2.71828\()^{0.15\)
A(2) = 5000 x 1.1618
A(2)= $5, 809.
d) 7000 = 5000 \(e^{0.075t\)
\(e^{0.075t\)= 1.4
Taking log on both side
0.075t log e= log 1.4
0.075t= 0.14612803567/0.4342944819
0.075t= 0.3364
t= 4.48 years
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5. Oshaunda buys a car that costs $21,000. It depreciates at 8.2% per year. a. Write an equation for the value of the car. V=21,000(1-0.082) V-21,000(0.918) B. Oshaunda tries to sell the car 4 years later. What is the car worth when it is 4 years old? Hint: Use your formula for part (a), and plug in t = 4. Use GEMA to finish the math.
Answers
Answer:
a.
\(f(t) = 21000( {.918}^{t} )\)
b.
\(f(4) = 21000( {.918}^{4}) = 14913.86\)
Find the 49th term.
-15, -10, -5, O, 5, ...
49th term = [?]
1st term + common difference(desired term - 1)
Enter
Answers
Answer:
49th term = 225
Step-by-step explanation:
The following sequence: -15, -10, -5, 0, -5... is an example of an arithmetic progression.
An arithmetic progression or AP for short, is a sequence in which the difference between successive terms is constant. This difference is known as the common difference, and can be found by subtracting a term by its preceding term.
The general formula, for the nth term of an arithmetic progression, is thus:
Tn = a + (n - 1)d, where a = first term, and d = common difference.
In the sequence: -15, -10, -5, 0, 5...,
a = -15, and d = -10--15 = 5
T49 = -15 + (49 - 1)5 = 225
∴ 49th term = 225
The fifth grade has 152 students. Each student has 18
pencils. About how many pencils do the students have altogether?
Answers
There are total of 152 students in 5th grade, then the number of pencils altogether will be equal to 2,736 pencils.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
Total number of students in 5th grade = 152
Amount of pencil each student have = 18
Then, the total number of pencils altogether,
= 152 × 18
= 2,736 pencils.
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PLEASE PLEASE PLEASE PLEASE PLEASE ANSWER THIS ASAP!!!!!!!!!!!!!THIS IS MATH I AM GIVING 50 POINTS!!!!!!!!!
Answers
Ivanna made $133 for 7 hours of work. At the same rate, how many hours would she have to work to make $228?
Answers
a car depreciates ( loses value ) at a rate of 4.5% annually . greg purchased a car for 12,500. which equation can be used to determine the value of the car ,v, after 5 years
Answers
The equation used to determine the value of the car ,v, after 5 years is V= 12500*4.5*5/100-D.
What does it mean to solve an equation?An equation represents equality of two or more mathematical expression.
When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
Given;
A car depreciates ( loses value ) at a rate of 4.5% annually
Greg purchased a car for 12,500
Time= 5years
Here, the depreciation is equal to the simple interest but in depreciation
So, Let the depreciation be D
D=P*R*T/100
D=12500*4.5*5/100
=2812.5
Now, value of car v;
V= 12500*4.5*5/100-D
Therefore, the equation will be V= 12500*4.5*5/100-D
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TRUE OR FALSE: The alternative hypothesis states that there is no difference/no effect.
Answers
The answer is FALSE. The alternative hypothesis is a statement that there is a difference or an effect in the population being studied, and it contradicts the null hypothesis, which is a statement that there is no difference or no effect in the population being studied.
The alternative hypothesis is a statement that contradicts the null hypothesis and is generally the hypothesis that the researcher wants to support. It is a statement that there is a difference or an effect in the population being studied.
In hypothesis testing, the null hypothesis is a statement that there is no difference or no effect in the population being studied. The null hypothesis is typically the default hypothesis, which is assumed to be true unless evidence suggests otherwise. The alternative hypothesis, on the other hand, is a statement that there is a difference or an effect in the population being studied, and it is typically the hypothesis that the researcher wants to support.
For example, if a researcher wants to test the effectiveness of a new drug, the null hypothesis might be that the drug has no effect on the condition being treated, while the alternative hypothesis might be that the drug has a positive effect on the condition being treated.
In summary, the alternative hypothesis is a statement that there is a difference or an effect in the population being studied, and it contradicts the null hypothesis, which is a statement that there is no difference or no effect in the population being studied.
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determine whether the planes are parallel, perpendicular, or neither. x − y − 8z = 1, 8x y − z = 2
Answers
the given planes are perpendicular to each other.
To determine whether the planes are parallel, perpendicular, or neither, we can examine the normal vectors of the planes.
The given planes can be represented in general form as:
Plane 1: x - y - 8z = 1
Plane 2: 8xy - z = 2
The normal vector of a plane is the coefficients of x, y, and z in the plane's equation.
For Plane 1, the normal vector is [1, -1, -8].
For Plane 2, the normal vector is [0, 8, -1].
Two planes are parallel if their normal vectors are scalar multiples of each other. Two planes are perpendicular if the dot product of their normal vectors is zero.Let's compare the normal vectors:
[1, -1, -8] and [0, 8, -1]
Since the normal vectors are not scalar multiples of each other (none can be multiplied by a constant to obtain the other), the planes are not parallel.
Next, let's calculate the dot product of the normal vectors:
[1, -1, -8] · [0, 8, -1] = (1 * 0) + (-1 * 8) + (-8 * -1) = 0 + (-8) + 8 = 0
Since the dot product of the normal vectors is zero, the planes are perpendicular.
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Meal A has 170 calories in 3 servings. Meal B has 160 calories
in 4 servings. Which meal has more calories per serving?
Answers
Solve for X
1.1x + 1.4x = 350
Answers
Answer:
X= 140
Step-by-step explanation:
I hope this helps. =D
Answer:
x=140
Step-by-step explanation:
1.1x+1.4x=350 1. combine like terms which 1.1x+1.4x
2.5x=350 2. /2.5 on both sides
x=140
what dose absolute value mean
Answers
Answer:
the magnitude of a real number without regard to its sign.
Step-by-step explanation:
Answer:
the magnitude of a real number without regard to its sign
Step-by-step explanation: or something like that
Find the intervals of increase for the polynomial shown in (rounded to the nearest tenth)
Answers
The function increases in the interval where the value of the function increases as x increases. Then, based in the previous description and based on the given graph, you can conclude that the intervals of increase are:
(-oo , -1.8), (0 , 0.3)
the nth term of a sequence is n²+20
work out the first 3 terms of the sequence
Answers
The first 3 terms of the sequence are 21, 24 and 29
Working out the first 3 terms of the sequenceFrom the question, we have the following parameters that can be used in our computation:
n² + 20
This means that
f(n) = n² + 20
The first 3 terms of the sequence is when n = 1, 2 and 3
So, we have
f(1) = 1² + 20 = 21
f(2) = 2² + 20 = 24
f(3) = 3² + 20 = 29
Hence, the first 3 terms of the sequence are 21, 24 and 29
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The first new path will increase access to the fountain. it will be perpendicular to the existing path and pass through F(4,14). Write an equation that represents this new path l. Enter the correct answer in the box. Substitute numerical values into the expression for all known variables.
Answers
Answer:
y=1/4x+13
Step-by-step explanation:
Percentage is a part of a whole expressed out of hundred True or False
I literally know the answer,I just wanted to see that really brainly gives correct answers.
Answers
Answer:
True
Thx for the points :)
TRUE OR FALSE?
All square roots can be simplified to a decimal answer and still be equivalent.
Answers
THE ANSWER IS TRUE :P
Step-by-step explanation:
All the square roots can be simplified to a decimal answer and still be equivalent.
What is Square Root?Square root of a number is the value such that the value when multiplied to itself two times gives the original number.
It is denoted by the symbol √.
For example, square root of 16 is 4 since 4 × 4 = 16
We know that every number has a square root.
All the numbers does not have a perfect square root.
The perfect square roots does exists for numbers 1, 4, 9, 16, 25, .......
All the other numbers in between has the square roots which are decimal numbers.
Hence, all square roots can be simplified to a decimal answer and still be equivalent.
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A data warehouse allows users to specify certain dimensions, or characteristics. True or false
Answers
True, a data warehouse allows users to specify certain dimensions or characteristics.
In a data warehouse, dimensions represent the different aspects or characteristics by which data can be categorized or analyzed. These dimensions can include various attributes or variables that provide context and organize the data.
Users of a data warehouse can specify these dimensions based on their analytical needs and the nature of the data being stored.
For example, in a sales data warehouse, common dimensions may include product, customer, time, and location.
By specifying these dimensions, users can slice and dice the data based on different criteria and gain insights from various perspectives.
By defining dimensions, users can navigate through the data warehouse and perform multidimensional analysis using tools such as OLAP (Online Analytical Processing).
Dimensions provide a structure for organizing and querying data in a way that facilitates analysis and reporting.
In summary, a data warehouse allows users to specify dimensions or characteristics that help organize and analyze the data stored in the warehouse. These dimensions provide a framework for users to navigate and explore the data from different perspectives.
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sean is determining the number of quarters equal to different dollar amounts. there is a proportional relationship between the amount of money in dollars, x, and the number of quarters, y. x (dollars) y (quarters) $4 16 $7 28 $11 44 $13 52 what is the constant of proportionality? write your answer as a whole number or decimal. quarters per dollar
Answers
The constant of proportionality is equals to four quarters per dollar. The one dollar amount is equals to four quarters.
What is Proportionality constant?The constant of proportionality is the ratio of the called proportional relationship that relates two given values to each other. Other names for constant of proportionality are constant ratio, constant rate, unit rate etc . Formula :
Direct Variation: The formula for direct proportion is y = kx, which means that as x increases, y increases by the same rate.Inverse Variation: The formula for indirect proportionality is y = k/x, which indicates that x decreases as y increases.We have, a proportional relationship between the amount of money in dollars, x, and the number of quarters, y. Now, we have to calculate constant of proportionality for provide data.
x ( dollars) 4 7 11 13
y(quarters ) 16 28 44 52
a) constant of proportionality, k = y/x = 16/4 = 4
b) constant of proportionality,k = 28/7 = 4
c) constant of proportionality, k = 44/11 = 4
d) constant of proportionality,k = 52/13 = 4
So, the constant of proportionality,k = 4 quarters per dollar , that is one dollar = four quarters.
Hence, one dollar is equals to 4 quarters.
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PLEASE HELP QUESTION IN PIC
Answers
Answer:
(5, -4)
Step-by-step explanation:
Answer:
(5,-4)
Step-by-step explanation:
((0+10/2),(-2-6/2))
(10/2, -8/2)
(5,-4)
5 cm
4 cm
6 cm
Find the total surface area of this cuboid
Answers
Answer:
SA = 148 cm^2
Step-by-step explanation:
The surface area of a cube is given
SA = 2 ( lw+ wh+lh) where l is the length, w is the width and h is the height
SA = 2 ( 5*4+ 4*6+ 5*6)
SA = 2 ( 20+ 24+ 30)
SA = 2( 74)
SA = 148 cm^2
Your colleagues at work recently started to train for a 5K race. You decide this
would be fun and a good way to get more physical activity, so you join your colleagues
in training for the race. What type of influence on wellness is this an example of?
A. Social
B. Intellectual
C. Occupational
D. Environmental
Answers
The type of influence on wellness that this represents is given as follows:
A. Social.
What is the influence on wellness?An influence on wellness is an activity that improves the morale of certain aspect of our lives.
The aspect improved in this problem is the social aspect, along with the physical aspect, as follows:
Social aspect: The walking activity is a bonding activity being executed with your work colleagues.Physical aspect: Physical exercise, such as walking, is essencial for the physical health.Since this is an example of social bonding, option A gives the correct option regarding which type of influence on wellness this is an example of.
For example, reading a book would be intellectual influence, while recycling would be environmental influence.
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How can you tell if you have a perfect square trinomial or the DIFFERENCE OF SQUARES?
Answers
The value of a perfect square is either a positive number or zero. They cannot be neutral.
what is perfect square ?Perfect squares are generated when you square an integer. For instance, the number 81 is a perfect square since it can be derived by squaring 9: 99=81. 144 is a perfect square since 12 is squared to produce it. 169 is a perfect square since 13 may be squared to obtain it. Mathematical language Informally: When an integer (a "whole") number, whether positive, negative, or zero, is multiplied by itself, the outcome is referred to as a square number, a perfect square, or simply "a square." Therefore, all square numbers are 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on.
given
The value of a perfect square is either a positive number or zero. They cannot be neutral.
Square differences can be positive, negative, or zero depending on the order in which the numbers are obtained.
One squared term will be added to the difference of squares, and another squared term will be subtracted.
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The rate of consumption of oil in the United States during the 1980s (in billions of barrels per year) is modeled by the function C(t) = 27.08e', where t is the number of years after January 1, 1980. Find the total consumption of oil in the United States from January 1, 1980 to January 1, 1990.
Answers
the total consumption of oil in the United States from January 1, 1980, to January 1, 1990 is approximately 596,533.7 billion barrels.
To find the total consumption of oil in the United States from January 1, 1980 to January 1, 1990, we need to integrate the given function\(C(t) = 27.08e^t\)with respect to time t, over the interval [0, 10], where t is measured in years.
The integral of the function is:
∫\((27.08e^t) dt\)
To solve this integral, we use the fact that the integral of\(e^t\) is \(e^t\)itself. Thus, we get:
27.08∫\(e^t dt = 27.08e^t\)
Now, we need to evaluate the definite integral over the interval [0, 10]:
\(27.08e^t\)| from 0 to 10 =\(27.08(e^{10} - e^0)\)
As e^0 = 1, the expression simplifies to:
\(27.08(e^{10} - 1)\)
Now, we can calculate the value of the expression:
\(27.08(e^{10} - 1) =27.08(22026.47 - 1) = 27.08 * 22025.47 =596533.7\)
Thus, the total consumption of oil in the United States from January 1, 1980, to January 1, 1990 is approximately 596,533.7 billion barrels.
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To determine the age of fossils, scientists use radiometric dating. This involves measuring quantities of certain radioactive isotopes and using mathematical equations to compare the amounts of each isotope present.
Suppose a scientist dates a piece of petrified wood and calculates that it is approximately 23,881,392.3102 years old. The petrified wood is later displayed in a museum.
What is the most reasonable way for the museum tour guide to describe the age of the wood to museum visitors?
(A): 2.3881×107 years old
(B): 24 million years old
(C): 23.8813923102 mega years old
(D): 23 billion years old
Answers
Answer:
B 24 million years old
Step-by-step explanation:
i did this quiz a long time ago tho so it might be B or D
3x^2 + 9x + 4x + 12
Answers
Hope this helps
Have a great day/night
what is 02.15cm in meters
Answers
Answer:3200
Step-by-step explanation:
Jodi paints one wall in her bedroom with area 87 5/6 sq ft. She paints the bottom portion of the wall purple and the rest pink. Oh and this is from envision
Answers
I don't know either that's why I came here but there was no answer soooooooooooo
DETAILS For sets, operations are performed left to right; however, operations inside parenthesis are performed first False O True 2. [-/1.66 Points] DETAILS SMITHNM13 2.3.011. Consider the sets X and Y. Write the statement in symbols. A union of complements Oxný OXUY OXUY OXUY Oxny Need Help? Read It AG romano ASK YO ASK YO MY NOTES DETAILS Consider the sets X and Y. Write the statement in symbols. The complement of the union of X and Y oxny Oxny Oxny OXUY OXUY 4. [-/1.66 Points] DETAILS De Morgan's Law for Sets states that for any sets x and y XUY OXUY OXUY Oxny Oxny Oxný p/14440 MY NOTES 3 06 ASK YOUR TEACHER 5. [-/1.66 Points] DETAILS De Morgan's Law for Sets states that for any sets X and Y. ХПУ- OXUY OXUY Oxny OXUY OXY 6. [-/1.7 Points] DETAILS IF (AUB) UC-AU (BUC), we say that the operation of union is t MY NOTES MY NOTES ASK YOUR T ASK YOUR TEAC
Answers
False: Operations inside parentheses are performed first, not left to right.
The statement "A union of complements" is symbolized as X∪Y.
De Morgan's Law for Sets states that the complement of the union of X and Y is symbolized as X∪Y.
De Morgan's Law for Sets states that the complement of the intersection of X and Y is symbolized as X∩Y.
De Morgan's Law for Sets states that the intersection of the complements of X and Y is symbolized as X∩Y.
The statement "IF (A∪B)∩C = A∪(B∩C), we say that the operation of union is true.
The given statement is false. Operations inside parentheses are performed first before any other operations.
The statement "A union of complements" can be symbolized as X∪Y, where X and Y are sets.
De Morgan's Law for Sets states that the complement of the union of X and Y can be symbolized as X∩Y, where X and Y are sets.
De Morgan's Law for Sets states that the complement of the intersection of X and Y can be symbolized as X∩Y, where X and Y are sets.
De Morgan's Law for Sets states that the intersection of the complements of X and Y can be symbolized as X∩Y, where X and Y are sets.
The statement "IF (A∪B)∩C = A∪(B∩C), we say that the operation of union is true" indicates the associativity property of the union operation. When the union operation satisfies this property, it is considered true.
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Davion wants to buy 4 tickets to a basketball game. He sees that there is a discount for $25 off his entire purchase at checkout, so the tickets would cost him $215 before tax. What was the original price of each ticket?
Answers
Answer:
$60 per ticket
Step-by-step explanation:
$215 is what it costs after the discount, so add the amount taken off, back on.
215+25
240
Then, divide by 4 to find the cost of each individual ticket.
240/4
60
Hope it helps!