Answer:
Three. 2x, -3y, and 8.
Step-by-step explanation:
For every constant or variable, there is a term.
In this expression, there are two variables (x and y) and there is a constant (8).
Hence, there are three terms.
Hope this helped!
math project : I need an interesting project idea for mathematics that can relate 3 different topics, I should write a full research paper related on the topic this are some examples related to the project
You must state a question that you would like to answer. This must be a specific question within your topic and should be explored thoroughly to create a complete paper.
Examples:
(i) How can we use Mathematical/Calculus-based tools to study the spread of COVID-19?
(ii) Designing a new Mathematical/Calculus-based model to analyze the spread of COVID-19
(iii) How many entrances should there be at Expo to accommodate all visitors?
(iv) How much water does the UAE need in order to sustain its ever changing population? (i.e. comparing water usage vs. water production)
Literature review:
You must show using multiple references and sources of the current literature on your given topic. This does NOT imply that information is simply copied from the internet but rather you must present a comprehensive review and summary of the latest research on your topic. It is suggested that you chose a specific aspect of your topic in order to include all required elements.
Examples:
(i) Review of the existing Mathematical/Calculus-based models used to analyze the spread of COVID-19
(ii) Review of existing Mathematical/Calculus-based models and calculations regarding risk insurance.
Answer:
Here's an interesting project idea for mathematics that can relate three different topics:
Topic 1: Fractals
Topic 2: Chaos Theory
Topic 3: Differential Equations
Research Question: Can fractals be used to model chaotic systems described by differential equations?
In this project, you can explore the concept of fractals and their applications in modeling complex systems. You can also delve into chaos theory and differential equations to understand how they are used to describe chaotic systems. By combining these three topics, you can investigate whether fractals can provide a better understanding of chaotic systems by modeling them more accurately.
Your research paper can cover the following areas:
Introduction: Provide an overview of fractals, chaos theory, and differential equations, and explain their relevance to the research question.
Fractals: Discuss the properties of fractals and how they can be used to model complex systems. Provide examples of fractals in nature and technology.
Chaos Theory: Explain the concept of chaos and how it is described by differential equations. Discuss the importance of chaos theory in understanding complex systems.
Differential Equations: Provide an overview of differential equations and their applications in physics, engineering, and other fields. Explain how differential equations are used to model chaotic systems.
Combining the three topics: Explain how fractals can be used to model chaotic systems described by differential equations. Provide examples of fractals used in modeling chaotic systems and compare the results to traditional methods.
Conclusion: Summarize the findings of your research and discuss the implications of using fractals to model chaotic systems.
Overall, this project can be a challenging and rewarding exploration of the interplay between three different mathematical topics.
Step-by-step explanation:
If a jar contains 4 red marbles, 6 blue marbles, 3 yellow marbles, and 7 green marbles, what is
the probably that a randomly selected marble is red or yellow
Answer:
35% chance
Step-by-step explanation:
add up total number of marbles 4+6+3+7= 20
add up number of red and yellow marbles 4+3= 7
there is a 7 out of 20 chance that a red or yellow marble is chosen or in other words 35% chance
Answer: 7:20
Step-by-step explanation:
there's 20 marbles in the jar
4 are red and 3 are yellow
4 + 3 = 7
so 7:20
16/20 as a percent 6th grade
Answer:
80 percent
Step-by-step explanation:
Answer:
80%
Step-by-step explanation:
it is the correct answer
is 1.0227… a rational number
Answer:
yes
Step-by-step explanation:
The decimal 1.0227 is a rational number. First of all, it is a terminating decimal, which means that the decimal has a definite ending point.
Answer: Yes; it is a rational number.
__________________________________________
Step-by-step explanation:
__________________________________________
An irrational number, by definition, has "non-terminating, non-repeated decimal".
This number given has a "non-terminating decimal" that "is repeating"; so, instead of being an "irrational number", it is a "rational number."
__________________________________________
Hope this helps!
__________________________________________
You need to have a password with six letters followed by three odd digits between zero and nine,inclusive, if the characters and digits cannot be used more than once how many choices do you have for your password
1) Since there are 26 letters from A to Z and 5 odd digits from 0 to 9. And no repetition was allowed, we can solve this problem by doing the following:
2) Note that the numbers represent the possibilities. Now, let's multiply all that:
\(\begin{gathered} _{26}P_6\times_5P_3= \\ \\ \frac{26!}{(26-6)!}\times\frac{5!}{(5-3)!} \\ \\ \frac{26!}{20!}\times\frac{5!}{2!} \\ \\ \frac{26\times25\times24\times23\times22\times21\times20!}{20!}\times\frac{5\times4\times3\times2!}{2!} \\ \\ (26\times\:25\times\:24\times\:23\times\:22\times\:21)\times(5\times4\times3) \\ \\ 9,945,936,000 \end{gathered}\)Thus, this is the number of possible passwords.
What is the domain of the function
y=³√x-1
The domain of the function is real numbers.. The value is x-1 = is a real number
What is meant by domain?The domain of a function is the set of values that we are allowed to enter into our function. This set consists of the x values for a function like f. (x). The set of values that a function can accept as input is known as its range. Once we enter an x value, the function returns this list of values.
Think about the equation y = f(x), where x and y are the independent and dependent variables. If a value for x successfully enables the creation of a single value y using another value for x, it is said to be in the domain of the function f.
A positive number has a positive cubic root.
Zero has a cubic root of zero.
A negative number has a negative cubic root.
Given ,
This implies that any real number's cubic root is also a real number.
y = ³√x-1
³√x-1 = x-1 is a cubic root
x-1 = is a real number
Therefore The value of real number is x-1 = is a real number
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If x is 6 and y is -2 what’s the value of yx
Answer:
-12
Step-by-step explanation:
(6)(-2)= -12
6 multiply -2 equals 12.
Solve for h
6.51 - 9.32 + h = 1.02
Can someone please explain step by step on how I could get this answer for this question?
Answer:
h=3.83
Step-by-step explanation:
6.51 - 9.32 + h = 1.02 --> first, subtract: 6.51 - 9.32
-2.81+h=1.02 --> add 2.81 to both sides
h=3.83 --> answer
Mary placed a bag containing one red ball, one blue ball, and one green ball on a table. She drew the three balls, one at a time, from the bag without looking. The list below shows all the possible combinations of the outcome..
RBG, RGB, BRG, BGR, GRB, GBR
Is Mary more likely to draw a red ball followed by a green ball or a blue ball among the first two balls to be drawn?
A. Mary is more likely to draw a red ball followed by a green ball, because 4/6 > 2/6
B. Mary is more likely to draw a blue ball among the first two balls to be drawn, because 4/6 > 2/6
C. Mary is more likely to draw a blue ball among the first two balls to be drawn, because 5/6 > 2/6
D. Mary is more likely to draw a red ball followed by a green ball, because 5/6 > 2/6
The correct option is B- Due to the fact that 4/6 is greater than 2/6, Mary is more probable to receive a blue ball out of the initial two balls pulled.
Explain about the fractions?Numbers expressed as fractions have a numerator and a denominator, distinguished by a line known as a vinculum.The fraction's denominator reveals how many total pieces the entire number is divided into. The numerator indicates how many pieces we need. Thus, half means that we divide the entire into two equal halves, yet we only need one.For the question:
Total balls in bag - 1 red , 1 blue, 1 green ball.
Outcomes - RBG, RGB, BRG, BGR, GRB, GBR
We must tally the instances of each outcome satisfying each criteria to determine which Mary is more likely to select a red ball following by a green ball or just a blue ball out of the initial two balls drawn.
A green ball is placed after a red ball: RG (2 out of the 6 outcomes fulfil given condition)The very first two balls are red, blue, white, and green. This criterion is met by 4 out of 6 possible outcomes.As a result, Mary has a higher chance of drawing one of the first two balls pulled to be blue. Hence, choice B is the right response.
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How long will it take money to double if it is invested at the following rates?
(A) 6% compounded monthly
(B) 10.2% compounded monthly
(A) years
(Round to two decimal places as needed.)
(B) years
(Round to two decimal places as needed.)
The number of years it would take to double at 6% compounded annually is 11.55 years
The number of years it would take to double at 10.2% compounded annually is 6.8 years
What is the doubling time?When an amount earns at a compound interest, it means that the investment increases at an exponential rate. This means that the rate of growth in a new compounding period would be greater than the rate of growth at the previous compounding period.
When an amount is compounded monthly, it means that both the amount invested and the interest that has already been earned increases in value once a month, twelves times a year.
The formula that can be used to determine the number of years it would take the investment to double is:
Number of years it would take to double = In (FV / PV) / r
Where:
FV = future value PV = present value FV / PV = 2 r = interest rater = 6/12 = 0.5%
r = 10.2 /12 = 0.85%
Number of years it would take to double = In2 / 0.005 = 138.629 months
138.629 months / 12 = 11.55 years
Number of years it would take to double = In2 / 0.0085 = 81.547 months
81.547 months / 12 = 6.8 years
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Question 3(Multiple Choice Worth 1 points)
(05.02 MC)
Solve the system of equations using substitution.
4x + 2y = 6
x = 2y + 4
(1, 1)
(2,-1)
(8,2)
(10,3)
Answer:
(2,-1)
Step-by-step explanation:
We can use substitution to solve this system of equations. Since x is already solved for in the second equation, we can substitute 2y + 4 for x in the first equation:
4(2y + 4) + 2y = 6
Simplifying the left side:
8y + 16 + 2y = 6
Combining like terms:
10y + 16 = 6
Subtracting 16 from both sides:
10y = -10
Dividing both sides by 10:
y = -1
Now that we know y, we can use the second equation to find x:
x = 2y + 4
x = 2(-1) + 4
x = 2
Therefore, the solution to the system of equations is (x, y) = (2, -1).
The correct answer choice is (2, -1).
749/d * d/749 = 1
d=?
Answer:
D=1
Step-by-step explanation:
1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1
Answer:
I honestly don't know but I think its all real numbers but not zero
Step-by-step explanation:
Y=x-1 4x+8=y solve the system
On Monday the change in the value of one share of a companies stock can’t be represented as -$2.85 Tuesday the value of one share of the companies that changes again which of these describes a situation that would bring the total change for the two days to zero dollars
Step-by-step explanation:
If a stock's price falls all the way to zero, shareholders end up with worthless holdings. Once a stock falls below a certain threshold, stock exchanges will delist those shares.strong earning result in the stock price moving up and vice versa.
in the question you asked,the situation that will make stock price move from -$2.85 to zero means the stock, bond, or commodity market, or an index representing them, currently trades higher than it did at some specific point in the past.
Hellllppppp!
given triangle abc prove m∠a=66 2/3
Any triangle's three interior angles add up to 180 degrees, according to the Triangle Sum Theorem.
How do you calculate the triangular sum theorem?Any triangle's three interior angles add up to 180 degrees, according to the Triangle Sum Theorem. m∠1+m∠2+m∠3=180∘.
Here,
According to the triangle sum theorem, a triangle's total angles equal 180°. Therefore, using the Substitution property
=> (3x)° + 90° + (x+10)° = 180°,
=> m(A,B,C) = 180.
To find x, combine similar terms to get
=> 4x + 100 = 180. Then, using the subtraction condition of equality, convert => 13 1/2 to 80.
=> Finally, divide 80 by 5 ( 13 1/2) to find x.
The substitution property may be used to get the measure of the angle A, yielding mA = 5 ( 13 1/2) °.
When the expression is finally simplified, m < A = 66 2/3.
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HELP PLS EASYyyyyyyyyyyyyy
Answer:
My best guess would be 19.5
Step-by-step explanation:
I asked go ogle
and
thats
all
I
could
find
hope
this
helps!
Is this relation a function?
Answer:
True
Step-by-step explanation:
First two points are inverse of last two points, all points reflects each other over y = -x
Show that Sin3xCos3x is the same as Sin 6x
The solution to the trigonometric equation is sin( 6x ) = 2sin(3x)cos(3x)
What are trigonometric relations?
Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the equation be represented as A
Now , the value of A is
A = sin (6x)
From the trigonometric relations ,
The value of sin( 2x ) = 2sin(x)cos(x)
Now , when x is replaced by 6x
Substituting the values in the equation , we get
sin ( 6x ) = 2 sin ( 6x/2 ) cos ( 6x/2 )
On simplifying the equation , we get
sin ( 6x ) = 2 sin ( 3x ) cos ( 3x )
So , the value of the trigonometric relation is
sin(6x) = 2sin(3x)cos(3x)
Hence , the equation is sin(6x) = 2sin(3x)cos(3x)
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What is (x³-8x² + 6x +41) ÷ (x-4)
Step 1: Write the dividend and divisor:
\(\sf\:\frac{{x^3 - 8x^2 + 6x + 41}}{{x - 4}} \\ \)
Step 2: Divide the first term of the dividend by the first term of the divisor:
\(\sf\:\frac{{x^3}}{{x}} = x^2 \\ \)
Step 3: Multiply the divisor (x - 4) by the result (x^2):
\(\sf\:(x - 4) \cdot (x^2) = x^3 - 4x^2 \\ \)
Step 4: Subtract the result from the original dividend:
\(\sf\:(x^3 - 8x^2 + 6x + 41) - (x^3 - 4x^2) = -4x^2 + 6x + 41 \\ \)
Step 5: Bring down the next term from the dividend:
\(\sf\:\frac{{-4x^2 + 6x + 41}}{{x - 4}} \\ \)
Step 6: Repeat steps 2-5 with the new dividend:
\(\sf\:\frac{{-4x^2}}{{x}} = -4x \\ \)
\(\sf\:(x - 4) \cdot (-4x) = -4x^2 + 16x \\ \)
\(\sf\:(-4x^2 + 6x + 41) - (-4x^2 + 16x) = -10x + 41 \\ \)
Step 7: Bring down the next term from the dividend:
\(\sf\:\frac{{-10x + 41}}{{x - 4}} \\ \)
Step 8: Repeat steps 2-5 with the new dividend:
\(\sf\:\frac{{-10x}}{{x}} = -10 \\ \)
\(\sf\:(x - 4) \cdot (-10) = -10x + 40 \\ \)
\(\sf\:(-10x + 41) - (-10x + 40) = 1 \\ \)
Step 9: There are no more terms to bring down, so the division is complete.
Step 10: Write the final result:
The quotient is \(\sf\:x^2 - 4x - 10\\\) and the remainder is 1.
Therefore, the division of \(\sf\:(x^3 - 8x^2 + 6x + 41) by (x - 4) \\\) is:
\(\sf\:(x^3 - 8x^2 + 6x + 41) ÷ (x - 4) \\ \) \(\sf\:= x^2 - 4x - 10 + \frac{{1}}{{x - 4}} \\ \)
a rectangular garden has length twice as great as it’s width. a second rectangular garden has the same width as the first garden and length that is 4 meters greater than the length of the first garden. the secon garden has area of 70 square meters. what is the width of the two gardens?
The width of the two gardens will be equal to 5 feet.
What is the area of the rectangle?A rectangle is a quadrilateral having four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that a rectangular garden has a length twice as great as it’s width. a second rectangular garden has the same width as the first garden and a length that is 4 meters greater than the length of the first garden. the second garden has an area of 70 square meters.
For the first rectangle, the dimensions will be,
L = 2w
For second rectangle width is same then the area is,
L x w = 70
( 2w +4 ) x w = 70
2w² + 4w - 70 = 0
w² + 2w -35 = 0
w² + 7w - 5w -35 = 0
w(w + 7 ) -5(w+7) = 0
w =-7 and w = 5
Hence, the width is w = 5 ft.
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solve for x
\(4x - 16 = 0\)
thankyou ~
4
Step-by-step explanation:
1. Add 16 to both sides
2. Simplify
3. Divide both sides by the same factor
4. Simplify
Solution: x = 4
What is the value of x in this proportion?
The value of x in this proposition would be the first option i.e. \(-13\frac{1}{4}\)
4/11= -33/x+5,
to get the value of x we need to get the x to the left hand side,
4(x+5)= -33,
4x+20 = -33.
subtracting 20 from both the sides,
4x= -33-20
4x = -53.
dividing both the sides by 4,
x= -53/4
x= \(-13\frac{1}{4}\) ,
which is option A in the given question
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help me please thank you in advance
Answer:
Fourth option) (x-4.5)^2=16.25
Step-by-step explanation:
It's the same
A T- shirt costs $5.99.
a. How much will you spend if you buy x T-Shirts?
b. Evaluate your expression to calculate the amount of money you will spend if you buy 4 shirts or 10 shirts.
Answer:
a. c = 5.99x
c = total cost
x = amount of t - shirts
b. 4 shirts: $19.96
10 shirts: $49.90
Step-by-step explanation:
plug in 4 for x:
c = 4.99(4)
c = 19.96
plug in 10 for x:
c = 4.99(10)
c = 49.90
When hired at a new job selling electronics, you are
given two pay options:
• Option A: Base salary of $20,000 a year with a
commission of 12% of your sales
• Option B: Base salary of $26,000 a year with a
commission of 3% of your sales
How much electronics would you need to sell for
option A to produce a larger income?
Answer: You would need to sell $66,667 worth of electronics.
Step-by-step explanation:
We can use equations:
Option A - 20,000 + 0.12x
Option B - 26,000 + 0.03x
If we set them equal to each other, we can find the x value at which the electronics sold give us equal income
20000+0.12x = 26000+0.03x
0.9x = 6,000
x = 66,666.67
HELP ME PLEASE!!! ASAP THANK YOU SO MUCH
Answer:
Step-by-step explanation:
What is the standard deviation for percent of children under five considered to be underweight?
Answer:
kailan due date nito te/kuya?
Step-by-step explanation:
sa comment section ko nalang ilalagay yung sagot teka lang
the difference of 3 minus 3 divided by 2
Answer:
there isnt an answer (or -1.5)
Step-by-step explanation:
3 - 3 = 0 and 0 divided by 2 is "undefined", however if you put brackets over "3 divided by 2", the answer is -1.5
Please Help! I will give brainliest!
Answer:
D
Step-by-step explanation:
e-Test Active
2
3
=+
4
Of(x) = -3x+4
Of(x) = -x +
Of(v)=-3y+4
5
6
7
8
10
TIME REI
Consider the function represented by 9x+3y=12 with x as the independent variable. How can this function be
written using function notation?
42-
The function notation of 9x + 3y = 12 is given as follows:
f(x) = 4 - 3x.
How to write the function notation?The function in the context of this problem is given as follows:
9x + 3y = 12.
The format for the function notation is given as follows:
Hence we must isolate the variable y, as follows:
3y = 12 - 9x
y = 4 - 3x (each term of the expression is divided by 3).
f(x) = 4 - 3x.
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