What is the remainder when x³ 3x² 4x 6 x 3?

Answers

Answer 1

The expression x³ 3x² 4x 6 can be expanded to x³ + 3x² - 4x - 6. When this expression is evaluated for x = 3, the result is 24, so the remainder is 0.

The expression x³ 3x² 4x 6 can be expanded to x³ + 3x² - 4x - 6. To find the remainder when this expression is evaluated, we must first substitute in a value for x. For this example, let x = 3. When we substitute 3 for x, the expression becomes 3³ + 3x² - 4(3) - 6. We can simplify this expression by performing the operations in order of operations. First, we can calculate 3³, which is equal to 27. Next, we can calculate 3x², which is equal to 27. Subtracting 4(3) from 27 gives us 15. Finally, subtracting 6 from 15 gives us 9.

The remainder of evaluating

x³ 3x² 4x 6 for x = 3 is 9.

x³ 3x² 4x 6 = 3³ + 3x² - 4(3) - 6 = 27 + 27 - 12 - 6 = 24

Remainder = 24 - 3 = 0

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Related Questions

Expand and state your answer as a
polynomial in standard form.
(3x² - y)²

Answers

  Answer: [tex]9x^{2} -6x^{2} y+y^{2}[/tex]

  Step-by-step explanation:

Applying the perfect square formula:[tex](a-b)^{2} = a^{2}- 2ab+ b^{2}[/tex]

[tex](3x^2- y)^2= (3x^2)^2- 2*3x^2*y+ y^2[/tex]

Simplifying this further, we get:

[tex]9x^2- 6x^2y+y^2[/tex]

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What is the relationship between the base and height of a parallelogram and its area?

Answers

The relationship between a parallelogram's area, base, and height:

Area = Base x height

Explain the meaning of the term parallelogram?

A parallelogram is just a flat shape having four parallel, straight sides that are congruent with one another.

Accordingly, a parallelogram is a closed shape, a flat figure, and a quadrilateral.

Therefore, each parallelogram is:

a flying object (two dimensions)a closed form (  interior and exterior)A four-sided shape (4-sided plane shape having straight sides)Different Parallelogram Types

In such a parallelogram, the length among one side is referred to as the "base," and the length of the perpendicular segment connecting that side to the opposing side is referred to as the "height."

Area = base x height

Thus, a parallelogram's base can be any of its sides. A given parallelogram always has two base-height pairs.

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Determine whether or not the equations represent a direct variation. Sort the equations into the appropriate category.
Direct Variation
Not Direct Variation
y=3x
x=-1
y=(2/7)x
-0.5x=y
y=22x+7
y=4

Answers

Answer:

Direct Variation

y = 3x

y = (2/7)x

y = -0.5x

NOT Direct Variation:

x = -1

y = 4

y = 22x + 7

Step-by-step explanation:

Direct Variations are in the form

y = kx

This is very similar to:

y = mx + b except the b MUST be zero.

Also, direct variations always go through (0,0) that's why b must be 0.

So easy to pick out:

y = 3x

y = (2/7)x and

y = -0.5x are all in the form y = kx and have a y-intercept of zero.

y = 22x + 7 has that extra +7 tacked on to the end of the equation. It does not go through (0,0). It has a b that is 7. So it starts at (0,7). It is not a direct variation.

The other two, x = -1 and y=4 are both not direct variations. Neither starts at (0,0).

x=anumber is a vertical line and y=anumber is a horizontal line. These are not direct variations.

The cash price of a refrigerator is Rs 34 500. The hire purchase price is a deposit of Rs 6500 and 10 % simple interest on the outstanding balance, to be paid in 24 monthly installments. Calculate the amount of each monthly instalment

Answers

Answer:

  ₹1400

Step-by-step explanation:

You want to know the monthly installment when a refrigerator costing ₹34500 is paid for with ₹6500 down and 24 payments that include 10% simple interest.

Balance to be paid

The amount remaining after the ₹6500 down payment is ...

  ₹34500 -6500 = ₹28000

The amount to be repaid in installments will be this amount with 2 years' finance charge:

  ₹28000 × (1 +rt) = ₹28000 × (1 +0.10·2) = ₹28000×1.20

  = ₹33600

Installments

When that is divided into 24 equal payments, each monthly installment is ...

  ₹33600/24 = ₹1400

Each monthly installment is ₹1400.

help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

g

=

p

2

m

Step-by-step explanation:

For a normal distribution, a negative value of z indicates O the z is to the right of the mean D a mistake has been made in computations, because z is always positive. o the area corresponding to the z is negative. O the z is to the left of the mean.

Answers

For a normal distribution, a negative value of z indicates D. the z is to the left of the mean.

What is a normal distribution?

A continuous probability distribution known as the "normal distribution" has values that are symmetrically distributed mostly around the mean.

The standard deviation determines the width of the curve in a normal distribution, which depicts a symmetrical plot of data around its mean value. It is represented graphically by the "bell curve.

Z is the number of standard deviations from the mean given by the formula:

z = ( X - μ ) ÷ ( σ )

where

x is the raw score,

μ is the population mean, and

σ is the population standard deviation

A negative value means that the number of standard deviations of an observation is to the left of the mean.

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What are 2 examples of discontinuous variations?

Answers

Eye color is an example of a discontinuous variation, as the amount of colors is limited and individuals can only have one of these colors.Blood type is another example of a discontinuous variation, as individuals can only have one of the four blood types.

Discontinuous variation refers to characteristics that have only a limited range of values within a population. Eye color is one example of discontinuous variation, as the range of colors is limited and individuals can only have one of these colors. Similarly, blood type is another example of discontinuous variation, as it is determined by the presence or absence of certain antigens in the blood and individuals can only have one of the four blood types. Discontinuous variation is often inherited, determined by the presence or absence of certain genes or alleles. These variations are usually determined by a single gene with two alleles, one of which may be dominant and one of which may be recessive, leading to the limited range of values. Discontinuous variation, then, is an important part of the human population and helps to create the variety and diversity that exists within it.

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What is length base and height?

Answers

The base is the length of one of the triangle's sides, and the height is the distance from that side to the triangle's opposite corner.

What is triangle?

A triangle is a polygon having three vertices and three edges. It is a fundamental geometric figure. Triangle ABC represents a triangle with three vertices: A, B, and C. Any three non-collinear points constitute a unique triangle and, by extension, a unique plane in Euclidean geometry. Triangles are polygons with three vertices that have three sides. The triangle's angles are constructed by joining the three sides end to end at a point. The triangle's three angles add up to 180 degrees.

Here,

The base of the triangle is the length of one of its sides, and the height is the distance from that side to the triangle's opposite corner.

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A rectangular sheet of paper 42 cm x 16 cm is rolled along its length and a cylinder is formed . Find the volume of the cylinder

Answers

Since a rectangle is rolled along length then circumference of circle is equal to length of rectangle and breadth equals to height.

=) 2*pi*r = 42cm

=) 2*22/7 * r = 42cm

=) r = 42*7 / 2*22

=) r = 147/22 cm

Since Volume of cylinder = pi* r^2*h

= 22/7 * 147/22 * 147/22 * 16 cm^3

= 2245.09 cm^3.

What's the inverse of 2?

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

the inverse of a number a is [tex]\frac{1}{a}[/tex]

then

the inverse of 2 is [tex]\frac{1}{2}[/tex]

What is the median of 10 and 24?

Answers

The Median of 10 and 24 is 17.

The middle value in a sorted, ascending or descending list of numbers is known as the median, and it has the potential to describe a data collection more accurately than the average does. It reflects the midway of the data since it is the point above and below which half (50%) of the observed data falls.

The mean and mode are the other two primary trends in addition to the median. The ratio of the total number of observations to the sum of all observations is known as the mean. The value that appears most frequently in the given data collection is called the mode.

Given,

First Number=10

Second Number=24

We know, Median=Average of two numbers

⇒ Median= [tex]\frac{10+24}{2}[/tex]= 34/2= 17

Therefore, The Median of 10 and 24 is 17.

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First Number=10

Second Number=24

We know, Median=Average of two numbers

⇒ Median = 34/2= 17

Therefore, The Median of 10 and 24 is 17.

Brayden is ordering T-shirts for Student Government to
wear during the next volunteer event. He ordered 32 T-
shirts from Mascot Universe. However, Mascot Universe
reduced the price of each T-shirt by $6 for being a school
partner. The total came to $288. Write and solve an
equation to determine the cost per T-shirt.
What is the value of x in the equation
7
- =
9
2/3
x-7?

Answers

How many pattern block trapezoids would create 2 hexagons?

how many ""words"" can be formed by rearranging inquisitive so that u does not immediately follow q?

Answers

Total 1,512,000 "words" can be formed by rearranging INQUISITIVE so that U does not immediately follow Q.

In the given question, we have to find how many "words" can be formed by rearranging INQUISITIVE so that U does not immediately follow Q.

The given word is INQUISITIVE.

The total alphabets in the word INQUISITIVE is 11.

Let us first count the words without U and then insert U wherever applicable.

Now without U we have total 10 alphabets and the alphabet I is repeated by 4 times.

So permutations is 10!/4! = 151,200

Now we need to put U, we can see its 11 alphabets but U should not follow Q so it becomes 10 alphabets.

Hence, Total number of words = 151,200*10

Total number of words = 1,512,000

Hence, 1,512,000 "words" can be formed by rearranging INQUISITIVE so that U does not immediately follow Q.

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What is the quotient of ¾ divided by ½?

Answers

3/2 is the quotient when 3/4 is divided by 1/2

How to divide fractions?

When two fractions are divided, the first fraction is multiplied by the second fraction's reciprocal. Finding the reciprocal of the second fraction and this can be obtained by reversing its numerator and denominator—is and then dividing the  fractions. Multiply the two numerators after that. Multiply the two denominators after that, After that we need to simplify the fraction to its lowest form.

what is quotient?

When we divide one number by another, the result obtained is also known as quotient.

so in order to find the quotient when both fraction is divied

quotient of the division = [tex]\frac{3}{4}[/tex] ÷[tex]\frac{1}{2}[/tex]

=> (3/4) / (1/2)

=> (3/4) * 2

=> 3/2

so quotient of the division = 3/2 or 1.5

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Choose one scenario below and translate it into an inequality (do not solve). Be sure to use the equation editor. (4 points)
Scenario 1: You have $500 to spend on a car rental for your birthday weekend trip. The car rental company charges $95 per day to rent the car and charges $0.85 per mile. If you rent the car for three days, what is the maximum amount of miles you can drive to stay under budget?
Scenario 2: Suppose that you start a lawn mowing business. Your start-up costs include the purchase of a self-propelled mower for $475. On average, you spend $1.50 per lawn for oil and gas. You charge $35 per lawn. How many lawns must you mow to make a profit?
FOLLOW-UP (6 Points)
Solve one of the inequalities written by your peers. Be sure to show ALL work using the equation editor. In your follow-up tell us what you think about the situation. Is it a good idea? Would you partake? If not, what would need to be different for you to be interested in the scenario?

Answers

The situation can be expressed in inequality as: 95x + 0.85y ≤ 500

On solving the maximum amount of miles that can be driven to stay under budget is 253

What is inequality?

If two real numbers or the algebraic expressions are related by the symbols “>”, “<”, “≥”, “≤”, then the relation is called an inequality.

For example, x > 3 (x should be greater than 3)

According to the given question:

Total amount to spend is restricted to $500

Let the number of days be x and extra miles covered be y

The car rental company charges $95 per day to rent the car and charges $0.85 per mile.

Therefore the situation van be expressed as:

95x + 0.85y ≤ 500

If the car is rent for 3 days then the maximum amount of miles that can be driven to stay under budget are

95(3) + 0.85y ≤ 500

285 + 0.85y ≤ 500

0.85y ≤ 215

y ≤ 253

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Water flow from a faucet into a tank at the rate of 0. 15 liter per minute, and water leak out of the tank at the rate of 0. 27 liter per minute. If there are 4. 8 liter of water in the tank, how long will it take to empty the tank?

Answers

The rate of flow for emptying the tank would be 0.15 liter/minute.

The rate at which the water level in the tank is changing is given by the equation:

ΔV/Δt = flow rate in - flow rate out

where ΔV is the change in the volume of water in the tank, Δt is the time interval over which the change occurs, and flow rate in and flow rate out are the rates at which water flows into and out of the tank, respectively.

In this case, the flow rate is 0.15 liter per minute, and the flow rate out is 0.27 liter per minute. The volume of water in the tank is 4.8 liters.

To determine how long it will take to empty the tank, we can set the volume of water in the tank to 0 and solve for the time interval:

0 = flow rate in - flow rate out

flow rate out = flow rate in

0.27 liter/minute = 0.15 liter/minute

Since the equation is not balanced, we cannot determine the time interval. In order to determine the time interval, we need to have information about both the flow rate in and the flow rate out. Without this information, it is not possible to determine how long it will take to empty the tank.

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Hi can someone thoughrly answer the question below for brainliest please

Answers

The minimum number of neckless needed to sell to make a profit is 18 thus option (A) is correct.

What is inequality?

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given,

12n > 135 + 4.50n

In order to make a profit and solve inequality,

12n - 4.50n > 135

7.5n > 135

n > 18

Thus, it needed to sell more than 18 to make a profit.

Hence "The bare minimum of necklaces that must be sold in order to turn a profit is 18".

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How to find multiple missing numbers in a given integer array with duplicates in Java?

Answers

The best way to find multiple missing numbers in a given integer array with duplicates in Java is to use a hash set and loop.

First, create a HashSet and add all elements from the array to it. Then, loop from 1 to the maximum element of the array and check if each number is present in the HashSet. If the number is not present, it is a missing number. To explain further, a hash set is an efficient data structure for storing unique elements of a collection, and using a loop to check for missing numbers ensures that all numbers from the array are accounted for.

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The sum of the two numbers is 36. The larger number is 10 more than the smaller number. What is the larger number?.

Answers

If the sum of two numbers is 36 and the larger number is 10 more than smaller number then the larger number is   .

the Sum of two numbers is given to be = 36 ;

also given that " larger number is 10 more than smaller number " ;

let the larger number be = "x" , and

the smaller number be = "y" .

So , according to the question ⇒ x + y = 36 ;

and x = y + 10 , putting x in above eqn.

we get , y + 10 + y = 36

2y + 10 = 36

2y = 36 - 10

2y = 26

y = 26/2 = 13

and x = 13 + 10 = 23 .

Therefore , the larger number is 23 .

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What does AA SSS and SAS mean in geometry?

Answers

SSS means side side side, SAS means side angle side and AAA means angle angle angle.

There are some postulates which can be used to prove that the two given triangles are similar. If two triangles are similar then we can find as a result that their respective sides and angles are also equal.

If three sides are given then we will use the SSS postulate

If two sides and one angle is given then we will use the SAS postulate

If three angles are given then we will use the AAA postulate.

Therefore SSS, SAS, and AAA are postulated that are used to prove two triangles are similar.

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(a.a+a.b+a.c) +b.a+b.b+b.c)

Answers

Answer:

this it's no a math problem

palm tran offers a monthly quikpass which cost $55 for unlimited rides if it cost $2 a single ride for what number of rides would the quikpass be less expensive

Answers

The number of rides that it would take for the quickpass to be less expensive would be 28 rides.

How to find the number of rides ?

The monthly quikpass would cost $ 55 and give a person unlimited rides. The single ride on the other hand, would cost $ 2 per ride.

The number of rides till the monthly quikpass is cheaper, can be found by the formula:

= Cost of monthly quikpass / Cost of single rides

= 55 / 2

= 27.5 rides

= 28 rides

In conclusion, if a person takes 28 rides then the monthly quikpass would be less expensive.

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What is 3 decreased by the quotient of 9 and a number

Answers

The answer for this is 11-9/x

How do you find the range and range of a function?

Answers

The various output values are displayed on the y-axis and make up the range. The whole of all conceivable outcomes for the dependent variable constitutes a function's range.

what is range ?

The statistical range is the range of values between the highest and lowest for a particular data collection. Another way to represent the range is the difference between the highest and lowest observation. The sample interval is determined by subtracting the largest number from the lowest. For continuous variables, the sample range is a critical measure of variability.

here

A function y = f is an example (x).

The function's range is the range between all of the y values, from least to maximum.

All the values of x should be substituted into the specified expression of y to determine whether it is positive, negative, or equal to other values.

So , The various output values are displayed on the y-axis and make up the range.

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LET f be the function given by f(x) = 4xe^3x

Answers

These values were found [tex]\lim_{x \to -\infty} f(x) = 0[/tex]  & [tex]\lim_{x \to \infty} f(x) = \infty[/tex] from the given equation.

What is the limit?

A limit in mathematics is the value that a function approaches as its input approaches some value. Limits are used to define continuity, derivatives, and integrals in calculus and mathematical analysis.

We have,

f(x) = 4xe³ˣ / 1

f(x) = 4xe³ˣ

[tex]\lim_{x \to \infty} f(x) = ?[/tex]l

[tex]\lim_{x \to -\infty} f(x) = ?[/tex]

[tex]\lim_{x \to -\infty} f(x) = \lim_{x \to -\infty} 4xe^{3x}[/tex]

It is the form -∞ * 0 which is an undetermined form

Write it has a fraction then apply l'Hospital's Rule

[tex]\lim_{x \to -\infty} \frac{4x}{1 / e^{3x} } = \lim_{x \to -\infty} \frac{4}{ -3e^{3x} / e^{6x} }[/tex]

[tex]= \lim_{x \to -\infty} \frac{4}{-3/e^{3x}} } = \lim_{x \to -\infty} \frac{4e^{3x}}{ -3 }[/tex]

[tex]= \frac{4e^{-x}}{ -3 }[/tex]

[tex]= \frac{0}{ -3 } = 0[/tex]

[tex]\lim_{x \to \infty} f(x) = \lim_{x \to \infty} 4xe^{3x}[/tex]

Simply evaluate

[tex]\lim_{x \to \infty} 4xe^{3x} = \infty * \infty = \infty[/tex]

 (∞*∞ is not an undetermined form).

f(x) = 4xe³ˣ

[tex]\lim_{x \to -\infty} f(x) = 0[/tex]

[tex]\lim_{x \to \infty} f(x) = \infty[/tex]

Hence, these values were found [tex]\lim_{x \to -\infty} f(x) = 0[/tex]  & [tex]\lim_{x \to \infty} f(x) = \infty[/tex] from the given equation.

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What are the 3 consecutive odd numbers whose sum will be 45?

Answers

The 3 consecutive odd numbers whose sum will be 45 are 13 , 15 and 19 .

What are consecutive numbers ?

Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers. For example: 1, 2, 3, 4, 5, 6, and so on are consecutive numbers.

Since, we know that any odd number is always of the form (2k +1). We express an odd number in this form because we know that an odd number is not divisible by 2.

Now, the next odd number after (2k+1) will be (2k+3) because if we take (2k+2) then we can see that it is clearly divisible by 2.

Let the 3 numbers be x ,x+2 , x+4

The sum of numbers is 45

⟹x+x+2+x+4=45

3x+6=45

3x=39

x=13

Hence , the 3 consecutive odd numbers whose sum will be 45 are 13 , 15 and 19 .

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What is the factor of 42?

Answers

Answer:

Step-by-step explanation:

42 is an even number so it is divisible by 2

42 divided by 2=21

42 has digits that add up to give 6

If the sum of a number adds up to give 3, 6 or 9 that number is divisible by 3

42 divided by 3=14

Factors of 42 are 21 and 2 and 14 and 3 and 42 and 1

How do we add 2 to 4 digit number?

Answers

Preview how to add two-digit numbers to refresh our memory before we look at how to add two numbers with four or more digits.

what is digit ?

One result, known as the sum, is produced when two or more integers are added together. It is advisable to arrange two or more integers vertically while adding them, making sure that the digits with the same place value are in the same column. Every one of the ones should be in its own column, followed by every ten in its own column, and so on.

here ,

As you align the place value columns, write the numbers directly above one another.

From the right to the left, add the numbers in each column.

Fill in the space provided beneath each column of digits with the solution to each addition.

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What is a domain of a function examples?

Answers

The domain of the function [tex]f(x)=\frac{1}{x}[/tex]  is all real numbers except 0.

What is the Domain of function?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's domain is the collection of values it can take as input.

For example, let us take a function [tex]f(x)=\frac{1}{x}[/tex].

For this function, the domain is all the values x can take.

Here x cannot take 0 because 1/0 is not defined.

So, the domain of the function is all real values except 0 which can also be written as:

Domain= R-{0}

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Drag each pair of equations to show if the system has no solution, one solution, or infinitely many solutions.
a. 3y = -12x + 6 l y= -4x+ 2
b. y=-2r+ 3 Jァ=1/2x-7
c. y= 1x-7 5x + 4
d. y=-2r + 3
e. y= 2x – 1
f. y= 5x + 4 v= 5x - 2
1. No Solutions
2. One Solution
3. Infinitely Many Solutions

Answers

As per the system of equation, a. 3y = -12x + 6 l y= -4x+ 2 has infinite number of solutions.

The rule to identify the number of solutions to the system of equation is written as,

In the given equation (a1/a2) ≠ (b1/b2), then there will be a unique solution.

Where as If (a1/a2) = (b1/b2) = (c1/c2), then there will be infinitely many solutions.

Finally If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution.

Here we have given that pair of equations to show if the system has no solution, one solution, or infinitely many solutions.

Here we have to take the first equation

a. 3y = -12x + 6 l y= -4x+ 2

Now, we have to write it in the standard form, then we get,

=> 12x + 3y = 6, 4x + y = 2

Here the values of a1 = 12, b1 = 3, c1 = 6 and the values of a2 = 4, b2 = 1 and c2 = 2.

When we take the rule of system of equation we have identified that

=> 12/4 = 3/1 = 6/2

=> 3/1 = 3/1 = 3/1

Therefore, this one has the infinite number of solution.

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what is the difference between felony murder and first degree murder What are the 4 types of writing process? Impoverished children who live in developing countries have a high risk of dying from _______. Consider the enlargement of the rectangle. A small rectangle with length of 4 and width of 2. A larger rectangle with length of 12 and width of 6. Which proportional statements are true of the enlargement? check all that apply. Startfraction width original over length original endfraction = startfraction width enlargement over length enlargement endfraction startfraction length original over length enlargement endfraction = startfraction width original over width enlargement endfraction startfraction width original over length enlargement endfraction = startfraction length original over width enlargement endfraction startfraction width enlargement over length enlargement endfraction = startfraction width original over length original endfraction startfraction length original over width enlargement endfraction = startfraction length enlargement over width original endfraction. Why do you think the Iroquois honor both the left handed twin and the right handed twin? What is the solution and how can I solve it? I an super confused calling a function with name _ is done with free_func() What additional information do you need to prove ABC def by the ASA postulate? Use the drop-down menus to complete the sentences. Under , the ottomans saw great advancement in the arts, architecture, and law. He also expanded the empire into. The ottoman empire created a complex and efficient system. Ottoman sultans also promoted religious. One effect of ottoman expansion was that almost all goods traded between merchants from passed through ottoman hands. Erika drives from school to soccer practice 1.3 miles away. It takes her 7 minutes.a.b.C.d.What fraction represents her constant speed, C?What fraction represents her constant speed, C, if it takes her x minutes to drive exactly 1 mile?Write a proportion using the fractions from parts (a) and (b) to determine how much time it takes her to driveexactly 1 mile. Round your answer to the tenths place.Write a two-variable equation to represent how many miles Erika can drive over any time interval. 3. In the diagram of a cell below, the structurelabeled X enables the cell to2(1) release energy(3) control cell activities(2) store waste products (4) manufacture proteins4 If the ribosomes of a cell were destroved whatsoever There are only 2.1 x 10^8 metric tonnes of usable fossil fuels existing on Earth.Assuming an estimated rate of fossil fuel use of 1 x 10^5 metric tonnes per year, calculate an order of magnitude estimation of the time left before the fossil fuel reserves run out.Give your answer to one significant figure.The answer is 2000 but I cannot figure out how they got it. the clause in a lease that is used to protect the commercial property owner against the increased cost in operations that arises from inflation is the using the indirect method to create the operating activities section of the statement of cash flows, the cash flow recorded based on the change in inventory would be: What is the probability distribution of getting a sum of 4? A"B"C"D" is the image of ABCD after the composition of transformationsT(-2,0) R180 about the origin.What is the sum of the x and y coordinates of D" The graph is the boundary line for the inequality y 2/3x + 1. Which of the points is a solution for this inequality? A (-4,5)B (-10, -2) C (0,-3) D (1,3) Find all values of x that make the equation true. 3/x+3 = x-4/x According to the United States Census Bureau the population of Utah was 2.12 million people in 1997 and 2.53 million people 9 years later in 2006. Use an explicit exponential model P t = P 0 ( 1 + r ) t to calculate the rate of growth of the population over this time period. what are the implications of john locks claim for the development of human society that people are solely the products of their environment? How are those implications bound up with criticism of existing social structures?