Is 3x3 a polynomial?

Answers

Answer 1

The degree of x-x3 is 3, or 3. It is a cubic polynomial. The formula for the 33 matrix's distinctive polynomial is f() = det (A - I3).

A polynomial is what?

A polynomial is a mathematical statement made up of variables (also known as indeterminates) and coefficients. It can be expressed using just the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. A polynomial is an equation that contains variables, constants, and exponents and is based on the operations of addition, subtraction, multiplication, and division of numbers (No division operation by a variable).

[tex]x - x^3[/tex] has a degree of 3, or 3.

The polynomial is a cubic one.[tex]f() = det (A - I3)[/tex]is the formula for the characteristic polynomial of the 33 matrix.

The characteristic polynomial of the provided 33 matrix is [tex]f() = -3 + 3 + 2.[/tex]

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Related Questions

Is a log graph increasing or decreasing?

Answers

A log graph can be either increasing or decreasing, depending on the function or data being graphed.

A log graph is a type of graph that displays the data on a logarithmic scale. That is, the values of the data are represented on a logarithmic scale, rather than on a linear scale. This type of graph is useful for displaying data or functions that span a wide range of values over a large range of exponents. The direction of the graph depends on the data being graphed or the function being shown. If the values of the data or the function being graphed increase over time, then the graph will be increasing. Conversely, if the values of the data or the function being graphed decrease over time, then the graph will be decreasing.

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solve 2+n=0(mod6)
solve2+(3+n)=1 (mod6)

Answers

Solving the modular arithmetic will result to

2 + n = 0 (mod 6): n = -22 + (3 + n) = 1 (mod 6): n = -4

What is modular arithmetic?

The term modular arithmetic is the arithmetic that works with whole numbers in a such that, following division by a modulus, all numbers are replaced by their remainders.

Solving the modular arithmetic: 2 + n = 0 (mod 6)

2 + n = 0 (mod 6)

n = -2

Solving the modular arithmetic: 2 + (3 + n) = 1 (mod 6):

2 + (3 + n) = 1 (mod 6)

5 + n = 1 (mod 6)

n = 1 - 5

n = -4

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The basketball team averaged 68 points per game last season and average 77 points per game this season. What is the approximate percent of the increase

Answers

According to question we can say that the approximate percentage of the increase is 13.2352%.

What is percentage?

In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100. Occasionally, the acronyms "pct.," "pct," and "pc" are also used. But it is commonly indicated by the percent sign, "%." The % amount has no dimensions. Percentages are essentially fractions when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it next to it. For instance, you score a 75% if you properly answer 75 out of 100 questions on a test (75/100). Divide the money by the total and multiply the result by 100 to calculate percentages. The formula for calculating the percentage is (value/total) x 100%.

Based on the given conditions, formulate: (77 —68)/ 68

e sum or difference:9/68 = 0.132352

0.132352 x100/100

=13.2352%

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How can you determine if the length of the 3 sides would make a triangle?

Answers

we can use the Triangle inequality Theorem a theorem in Euclidean geometry that states any two triangle sides added together must be greater than or equal to the third side

How to Determine if Three Side Lengths Are a Triangle?

It's simpler than it seems to determine whether a triangle has three side lengths. The Triangle Inequality Theorem, which asserts that the sum of a triangle's two side lengths is always greater than the third side, will suffice. You will have a triangle if this holds true for each of the three possibilities of increased side lengths.

1 . Triangle Inequality Theorem

smaller than the total of the first two sides. You will have a valid triangle if this holds true for each of the three possible combinations. To confirm that the triangle is feasible, you will need to go through each of these combinations one at a time. Theorem a+b > c, a+c > b, and b+c > a can alternatively be thought of as an inequality. The triangle has sides of lengths a, b, and c.

In this case, a, b, and c are each equal to seven.

2. Check to see if the sum of the first two sides is greater than the third

Check to see if the sum of the first two sides is greater than the third adding the sides a and b yields 17, which is larger than 5, or 7 plus 10. It can alternatively be considered as 17 > 5.

3. Check to see if the sum of the next combination of two sides is greater than the remaining side

just see if the sum of sides a and c are greater than the side b.[4] This means you should see if 7 + 5, or 12, is greater than 10. 12 > 10,

4. Check to see if the sum of the last combination of two sides is greater than the remaining side.

Check to see if side b and side c added together are greater than side a. To accomplish this, you must determine whether 10 Plus 5 is greater than 7. The triangle is complete on all sides since 10 + 5 = 15 and 15 > 7.

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MUST ANSWER QUESTION!


A palindrome is a number that is read the same backwards as forwards, for instance 12321. How many 5-digit palindromes with different neighboring digits are there? (Note that 01210 is not considered a 5-digit number and the palindrome 52525 has different neighboring digits. )

Answers

There are 24 ,5-digit palindromes with different neighboring .

Define probability.

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Can probability be greater than 1?

No, it is always between 0 t0 1.

Such a palindromic number should be  abcba  

2a+2b+c=14

Thus  c has to be even and we need

a+b=14−c/2 and we can choose for  a any value from  1 to  (14−c)/2

Thus the number of such palindromic numbers is

7+6+5+4+3=25

starting from  c=0 up to  c=8

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The value of x is -1/4 Order these expressions from least to greatest:
X
1-x
x-1
-1÷x

Answers

Answer:

Step-by-step explanation:

-1 divided by x

1 - x

X - 1

9m-4n=1

11m-3n=5 in simontaneous equation

Answers

The values of the variables are n = -17/31 and m = 23/93

How to determine the values

From the information given, we have the equations;

9m-4n=1     equation 111m - 3n = 5   equation 2

To solve the simultaneous equation, we have to take the following steps

Make 'm' the subject from equation 1

9m = 1 + 4n

Divide both sides by 9, we get;

m = 1 -4n/9

Substitute the value into equation (2), we have;

11(1 -4n/9) - 2n = 5

expand the bracket

11 - 44n/9 - 2n = 5

find the LCM

11 - 44n - 18n  /9 = 5

cross multiply

11- 62n = 45

collect like terms

-62n = 45 - 11

-62n = 34

Make 'n' th subject

n = -34/62

n = - 17/31

Substitute the value into equation (3)

m = 1 - 4(-17/31)/9

m = 1+68/31 ÷9

m = 69/31 × 1/9

m = 69/279

m = 23/93

Hence, the values are n = -17/31 and m = 23/93

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Zoe i aving up to buy a new bicycle. She already ha $80 and can ave an additional $6 per week uing money from her after chool job. How much total money would Zoe have after 6 week of aving? Alo, write an expreion that repreent the amount of money Zoe would have aved in ww week

Answers

If Zoe already has $80 and can save an additional $6 per week using money from her after school job then the total amount of money that Zoe saved after 6 week of saving is $116  and

the expression that represent amount of money Zoe would have saved in w weeks is [tex]80+6w[/tex]  .

The amount that Zoe already saved = $80 ;

the amount that she can additionally save is = $6 per week ,

the amount of money that can be saved after 6 weeks can be written as :

[tex]Amount = \$80+(Amount Saved Per Week)\times(Number Of Weeks)[/tex]

Amount = [tex]80+6\times6[/tex]

= [tex]80+36[/tex]

= $116

and the expression for w weeks will be = [tex]80+6\times w[/tex]

The expression is ⇒ [tex]Amount = 80+6w[/tex].

The given question is incomplete , the complete question is

Zoe is saving up to buy a new bicycle. She already has $80 and can save an additional $6 per week using money from her after school job. How much total money would Zoe have after 6 week of saving ?

Also, write an expression that represent the amount of money Zoe would have saved in w weeks ?

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For how many positive integers n does 1/n yield a terminating decimal with a non-zero hundredths digit?

Answers

The number which has a finite number of digits after the decimal point is a terminating decimal.

The decimal is said to be terminating decimal if that has a finite number of digits after the decimal point. Decimal numbers are used to represent the partial amount of whole just like fractions. The number which has a finite number of digits after the decimal point is referred to as a terminating decimal. A number has a terminating decimal expansion if the digits after the decimal point terminate or are finite. The fraction 5/10 has the decimal expansion of 0.5 which is a terminating decimal expansion because digits after the decimal point end after one digit. Terminating decimal has finite digits and non-terminating decimals do not have finite digits. A number with a terminating decimal is always a rational number.

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f(x) and g(x) below, find the value of f(g(-3)).
f(x) = 4x - 1
g(x) = 2x² + 7x - 3

Answers

Answer:

[tex]f(g(-3))=-25[/tex]

Step-by-step explanation:

[tex]g(-3)=2(-3)^2+7(-3)-3=2(9)-21-3=18-24=-6\\f(g(-3))=4(-6)-1=-24-1=-25[/tex]

Clara and erin volunteered at an animal shelter a of 9 1/5 hours. Clara worked for 41/3 hours. How many hours did erin work?Yon can use fraction strips to solve this problem

Answers

If $10,000 is invested at x percent simple annual interest for n years, the total amount of interest would be F = 10,000n(x/100)

What is simple interest?

Simple interest is calculated based on the principle of a loan or the initial deposit into a savings account. Simple interest doesn't compound, so a creditor will only charge interest on the principal sum, and a borrower will never be required to pay interest on interest that has already accrued.

F = P(1+rt), formula for simple rate of interest

Here,

=> Future value is F

Present value is P

=> Rate is R

=> Time is t

Substituting x for r

And, n for t

Also, 10,000 in for P

F = 10,000(1+xn)

The formula tells us principal + interest,

F = 10,000(xn)

Now, to get the x into terms of a percentage,

F = 10,000(n * x/100)

F = 10,000n(x/100)

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convert 20% profit into profit amount

Answers

Answer: To convert 20% profit into a profit amount, you would multiply 20% by the revenue or cost of the item or service.

Let's say,

You have revenue of $1000

So,

20/100 * 1000 = $200

So the 20% profit on the revenue of $1000 is $200.

It's important to note that profit is the amount of money you make after you subtract your costs from your revenue. It's the amount you have left after all the expenses, taxes and other deductions are made.

Step-by-step explanation:

2. A recent study of 35 students determined that the mean number of hours per week they played video games was 16.6 hours. The standard deviation of the population was 2.8 hours. Find a 95% confidence interval of the population mean.

Answers

According to a recent study of 35 students,Population-wide, there was a 2.8-hour standard deviation. 16.60 is the population mean's 95% confidence interval.

What means 95% confidence interval?A Confidence Interval is a zone created using sampled data from a population (sample space) that has a fixed size and follows a specific probability distribution. The interval is built to include a selected population statistic with a certain probability. A range of values above and below the point estimate, within which the true value in the population is likely to reside with 95% confidence, is known as a 95% confidence interval. 5% of the time, the true result might not fall inside the confidence interval.A confidence interval that includes the value of no difference between treatments denotes that there is no statistically significant difference between the therapy under consideration and the control.The result is that P([sample mean] - margin of error [sample mean] + margin of error) = 0.95.

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A jar contains $1.70 in ckels, dimes and quarter. There are twenty coins in all with twice as amny nickels as dimes. How many nickels are there in the jar

Answers

American nickels are issued as currency. A value of $1.70 is equal to 10 nickels and 12 dimes ($0.50 + $1.20).

How to find the calculation?

A dime is worth ten cents and a nickel five cents. In other words, one dime is equivalent to two nickels.

In light of this, we might state that a nickel is worth half what a dime is worth.

Despite having a higher value than a nickel, the dime is smaller.

n + d = 22 <— d = 22-n

Amount in pennies: 5n + 10d = 170

5n + 10(22 - n) = 170

5n + 220 - 10n = 170

220 - 5n = 170

220 - 170 - 5n = 0

50 - 5n = 0

50 = 5n

n = 10

A value of $1.70 is equal to 10 nickels and 12 dimes ($0.50 + $1.20).

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Why can't the sine of an angle be greater than 1?

Answers

Therefore, the sine of any angle can also only be between -1 and 1, inclusive.

What is an angle?

An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located.

Define sides and vertices.

Lines (line segments) and points make up the forms we perceive (vertices). To create a shape, these line segments are connected at their vertices. These lines' sides are what they are known as. The line segment that connects two vertices of a form or two-dimensional object is referred to as a side in geometry.

The sine of an angle can never be greater than 1 because the sine function maps an angle to the y-coordinate of the point on the unit circle that corresponds to that angle. The y-coordinate of any point on the unit circle is always between -1 and 1, inclusive. Therefore, the sine of any angle can also only be between -1 and 1, inclusive.

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PLEASE, I'll GIVE YOU A FIVE STAR RATING AND THANKS WITH COMMENT!!!!!

Answers

If you double the amount of fluid ounces, the amount of cups also double

There is proportional relationship between the number of fluid ounces and the number of cups. So, the number of cups would change by the same factor as the number of fluid ounces.

The cost of renting equipment is sometimes proportional; because, it depends on whether the equipment has a rental fee and charge per hour or just a charge per hour. Option A.

The cost of mailing a letter is proportional to the weight. The cost of mailing a 6-ounce letter is $2.82. Option B

The donation is proportional to the dinner bill

The donation for a dinner bill of $50 is $9

How to determine proportional relationship?

If there are 8 fluid ounces in one cup

8 : 1 = 16 : x

8/1 = 16/x

8 × x = 16 × 1

8x = 16

x = 16/8

x = 2

The difference between weight = 1

The difference between cost = $0.68 - $0.47

= $0.21

$0.89 - $0.68

= $0.21

$1.10 - $0.89

= $0.21

Cost of mailing 6-ounce letter

1 : 0.47 = 6 : x

1/0.47 = 6/x

1 × x = 6 × 0.47

x = $2.82

The donation for a dinner bill $50 is

Dinner bill : donation

25 : 4.50 = 50 : x

25/4.50 = 50/x

25 × x = 50 × 4.50

25x = 225

x = 225/25

x =$ 9

Therefore, there is a proportional relationship between two quantities if there is an equal change in the values of both quantities.

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What is the Contrapositive of P → Q?

Answers

"If p then q" is a conditional statement, and its contrapositive is If ~q then ~p.

Knowing about the inverse statement makes it simple to comprehend how to build a contrapositive statement. Take the negation of the hypothesis and the conclusion to produce the conditional statement's opposite.

Create the inverted statement first, then swap the hypothesis and conclusion to create the contrapositive of the conditional statement. Adding "not" to both component statements and switching the order of the provided conditional statements will result in contrapositive assertions, in other words.

If a number n is even, then n2 is even, and vice versa, is the contrapositive statement to "If a number n is even, then n2 is even."

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How do you find the nature of the roots of a given quadratic equation?

Answers

To find the nature of the roots of a given quadratic equation, use the quadratic formula, which is [tex]x= \frac{(-b±\sqrt{b^2-4ac} )}{2a}[/tex].

Finding the Nature of Roots of a Quadratic Equation

Substitute the values of a, b, and c from the given equation into the formula and solve for x. The nature of the roots can then be determined by examining the sign of the discriminant, b² - 4ac.

If the discriminant is positive, the quadratic equation will have two real roots; if the discriminant is zero, the quadratic equation will have one real root; and if the discriminant is negative, the quadratic equation will have two complex roots.

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What is the coefficient of y² in the expression 3y² 4x *?

Answers

The coeficient of y² in the expression is the number 3

What is an algebraic expression?

An algebraic expression is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms, algebraic expressions can be part of an equation and model mathematical processes.

In the given expression we have the following:

3y² + 4x

As we are asked for the coefficient of the variable "y" then we must take the number that is just before the letter which in this case is the number 3.

3 is the coefficient of y²

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35 POINTS Complete the sentence.
Statistics is the result of __________ data.

Answers

Answer:

analysis (i got to put a bunch of random stuff here cs the limit)

Mark purchased 3 hotdogs and 2 pretzels for $7.50. Mary’s purchased 2 hotdogs and 4 pretzels for $7. How much is each item

Answers

Answer:

Hotdog costs $2 and pretzel costs $0.75

--------------------------

Let the cost of a hotdog be h and pretzel be p.

Set up equations as per question:

3h + 2p = 7.52h + 4p = 7

Divide the second equation by 2, then subtract from the first one:

3h + 2p - 2h/2 - 4p/2 = 7.5 - 7/23h - h = 7.5 - 3.52h = 4h = 2

Now find the value of p:

3*2 + 2p = 7.56 + 2p = 7.52p = 1.5p = 0.75

Hotdog costs $2 and pretzel costs $0.75.

Circumference question

1. Suppose a bottle of Buckley's has a radius of 2cm. You need to
create a label for this product. What is the length of this label?


2. Assumes the company uses 22cm x 12cm boxes for delivery to stores. How many vials will be in each box?


suppose the price of each vial is $5.00. What is the cost of a box?

Answers

12.57 cm is the length of the label on bottle.

What is Circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that a  bottle of Buckley's has a radius of 2cm

You need to create a label for this product

We need to find the length of this label.

Means we need to find the circumference of the bottle.

The formula for circumference is

C=2πr

Given radius is 2cm

C=2×3.14×2

C=12.57 cm

Hence, 12.57 cm is the length of the label on bottle.

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Start with a circle whose equation is (x-a)^2 + (y-b)^2=r. Dilate that circle by a scale factor of 1/r with center of dilation (a,b). What does this transformation demonstrate

Answers

The dilation of the circle with a scale factor 1/r and center at (a,b) will transform the circle into a point at (a,b).

A dilation is a transformation that results in an image with the same shape as the original but a different size. • An enlargement is a dilation that produces a larger image. • A reduction is a dilation that produces a smaller image.

To solve this we will use the transformation formula for a dilation with center (a,b) and scale factor

k, (x,y) --> (a + k(x-a), b + k(y-b)).

Substituting in our values, we get

(x,y) --> (a + (1/r)(x-a), b + (1/r)(y-b)).

Setting this equal to (a,b), we get

(a + (1/r)(x-a) = a, b + (1/r)(y-b) = b).

Solving for x and y gives x = a and y = b. Therefore, the dilation of the circle with a scale factor of 1/r and center at (a,b) will transform the circle into a point at (a,b).

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Find the slope between (3,-2) (-4,1)

Answers

Answer:

- [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

Change in y over the change in x.

(3,2)(-4,1)

The y values are 1 and 2.

The x values are -4 and 3.  

You find the change by subtracting.

[tex]\frac{1--2}{-4-3}[/tex] = [tex]\frac{1+2}{-7}[/tex] = [tex]\frac{3}{-7}[/tex]

Can be written - [tex]\frac{3}{7}[/tex]

Sally makes craft kits. She needs 14 colored tiles for each kit. The area model represents the number of colored tiles in 15 kits. Drag the number to complete the area model. Numbers may be used once, more than once, or not at all.


4,10,100,50,20,40,9,5

Answers

The number that can be used to complete the area model is 210 and it can be used with numbers that are dragged are 100,100,10 bearing in mind that numbers may be used more than once

We already know that we have 14 colored tiles and that each of the area models is represented by 15 colored kits

The number of colored tiles in 15 kits is 210.

To find the total number of kits to use to complete the area model, you can multiply the number of tiles per kit (14) by the number of kits (15):

14 x 15 = 210

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Select the correct answer

A geneticist needs to grow a stock of fruit flies for her experiments. She currently has a stock of 200 fruit flies and predicts the stock will grow by

38% each day. Which function could she use to calculate f(n), the number of days required for her stock to grow to n fruit flies?

200

A f(n) = 1081. 38

OB. F(n) = 1080. 88

OC f(n) = log1. 38(260)

OD. F(n) = logo. 38

198(260)

(200)

Reset

Next

Answers

For her research, a geneticist has to raise a stock of fruit flies. She presently has 200 fruit flies in stock;

The mathematical function she may use to calculate is given as

f(n)=log1.38(n/200)

Which function could she use to calculate, the number of days required for her stock to grow to n fruit flies?

Generally, the equation for the final value is mathematically given as

A=Ao(1+u)^t

Therefore

n=200(1+0.38)*t

log(1.38^t)=log(n/200)

t=log1.38(n/200)

In conclusion, The function she could use to calculate is

f(n)=log1.38(n/200)

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You can read 12 pages of a book in 15 minutes.
How many hours will it take you to read a 312-page book?

Answers

It will take you 6.5 hours to read a 312-page book

How many hours will it take you to read a 312-page book?

From the question, we have the following parameters that can be used in our computation:

Rate = 12 pages of a book in 15 minutes

This means that

Rate = 12 pages/15 minutes

Convert to per hour

Rate = 12 pages/0.25 hour

Evaluate

Rate = 48 pages per hour

For a 312-page book, we have

Time = 312 pages/48 pages per hour

Evaluate

Time = 6.5 hours

Hence, the time is 6.5 hours

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PLS HELP DO TOMORROW!!!

Answers

Answer: 3 grams

Step-by-step explanation:

I just looked up the answer lol- I tried though, (Also I can't guarantee if it's right... But it probably is).

What are tractable and intractable problems?

Answers

As a result, the provided problem of tractable problem has the following outcome: As a result, a problem is said to be tractable if a polynomial-time algorithm exists to solve it.

Define tractable problem.

An algorithm that can solve a tractable problem in a polynomial amount of time. Polynomial describes the upper bound. An intractable problem is one that cannot be resolved in a polynomial amount of time. Exponential is the lower bound.

Here,

Tractable refers to "manageable," hence the word is used to indicate issues that can be resolved in a reasonable amount of time.

This leads to the definition of a problem as tractable as the existence of a polynomial-time algorithm that can solve it.

Unabating: Intractable. As an illustration, intractable pain and intractable diarrhea are both conditions that are untreatable despite the use of medication.

As a result, the provided problem of tractable problem has the following outcome: As a result, a problem is said to be tractable if a polynomial-time algorithm exists to solve it.

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Can someone please help me? :(

Answers

Answer:32 17/18

Step-by-step explanation:

33 + (1/9)(x)

x = -1/2

33 + (1/9)(-1/2) =

33 + -1/18

= 32 17/18

Other Questions
Greece is primarily covered in ____________________. Because of this, Greeks developed into independent city-states, or _________. ______________ developed as a democracy, while ___________ developed as an oligarchy (rule by the few) with a dual ___________. These city-states united to defeat __________ and King Xerxes, but afterwards entered into the _____________________ War with one another. This war weakened Greece, and eventually the entire _______________ Peninsula was conquered by King ____________ of Macedon. His son, _________________, would conquer most of the world and create _____________________ culture. Are isosceles triangles always 180? 12 Points!!!!Please take your time and answer correctly, I do not want to get this wrong!!! If I raise the temperature of a material by 5 K, what is the corresponding change in temperature on the Fahrenheit scale? create a timeline demonstrating the events/ideas that led to the Civil War. Your timeline should be chronological (where applicable) and include descriptions and images/symbols that clearly demonstrate how each event/idea was considered a cause of the Civil War. Include the following events/ideas: slavery, states rights, nullification (Nullification Crisis), Compromise of 1850 and the Georgia Platform, the Dred Scott case, the election of 1860, and the debates over secession I dont need a timeline but the order and a cause for the civil war What are polynomials and its different types explain with examples? which of the following inequalities orders the numbers 0.1, 0.04, and 1/6 from least to greatest? In 6-7, explain whether each graph represents a linear function. Describe at least 4 concepts learned this unit in genetics. Explain why each concept is important. (Digital biology 10th grade) We___ to hurry to get the flight Evaluate each expression for x = 3 & y = 44. x + 2(x+y)5. (xy)^34 - 34x - All of the following were part of the "new wave of British heavy metal" EXCEPT: O Iron Maiden O Def Leppard O Judas Priest O Mtley Cre What is the acceleration at t 2? The following system of equations is _____.y = - x + 2x + 6y = 4independentinconsistentequivalent If there is a fall in the interest rate, _____. the unemployment rate will most likely rise there will be a downturn in the economy businesses will be more likely to expand their facilities Unit rates are ALL AROUND US. If you have a phone, take a picture of a unit rate that you find at the grocery store, gas station, or as you are simply out and about. For your post, describe the picture and where you found your unit rate and what the unit rate was.For your replies, think back and see if you recall seeing unit rates in those places. Describe how a unit rate could be used at the location where it was found. Research has found that the vast majority ofvariation in BMI is attributed to an individualsa) environment.b) genetic makeup.c) lifestyle choices.d) None of these influences an individuals BMI. What law states that two alleles for a heritable character separate during gamete formation and end up in different gametes? If a firm has two or three sources of capital, what is the sum of the weights of these sources of capital in the WACC formula How was the American homefront affected by World War 1?