9th grade math i need help in

9th Grade Math I Need Help In

Answers

Answer 1

The value of f(1) will be 45.

What is the function?

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Given a function f(n) = 45.(4/5)ⁿ⁻¹

To calculate the value of f(1) we will substitute the value of the n by 1.

f(1) = 45.(4/5)¹⁻¹

f(1) = 45.(4/5)⁰

f(1) = 45

To calculate the value of f(n -1) we will substitute the value of the n by

n - 1.

f(n -1) = 45.(4/5)ⁿ⁻¹⁻¹

that can also be written as, from the rule of power

f(n -1) = (45.(4/5)ⁿ⁻¹)/4/5

f(n -1) = (45.(4/5)ⁿ⁻¹) * 5/4

f(n -1) = f(n) * 5/4

so,

f(n) = f(n-1) * 4/5

Therefore, the value of f(1) will be 45, and the value of f(n) = f(n-11)*4/5.

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Related Questions

solve this problem pls a question of inequality ​

Answers

Answer:

x > - 6

Step-by-step explanation:

[tex]\frac{x}{2}[/tex] > - 3 ( multiply both sides by 2 to clear the fraction )

x > - 6

Please use law of cosines to answer the question with your work shown. Wrong answers will be reported.
Thx

Answers

In the given diagram, the measure of angle B, m ∠B, is 22°

Law of Cosines: Calculating the measure of an angle

From the question, we ae to calculate the measure of angle B

From the law of cosines, we can write that

cos B = (a² + c² - b²)/2ac

From the given diagram,

a = 6

b = 5

c = 10

Thus,

cos B = (6² + 10² - 5²)/2(6)(10)

cos B = (36 + 100 - 25)/120

cos B = 111/120

B = cos⁻¹(111/120)

B = 22.3316°

B ≈ 22°

Hence, m ∠B = 22°

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find the sum. use your answer in the simplest terms, using the slash ( / ) as the fraction bar.
1/4 + 2/5

Answers

Answer:

Step-by-step explanation:

= 1/4 + 2/5

= 5/20 + 8/20

= 13/20

How do you make a transfer function in Matlab?

Answers

With MATLAB 's "t f" function, you may build a transfer function. A transfer function object is created by the "t f" function and can be used to manipulate transfer functions

So, you can create a transfer function with the aid of MATLAB's "t f" function. The "t f" function generates a transfer function object that can be used to manipulate transfer functions in a variety of ways, such as multiplying, adding, and inverting them. The MATLAB "t f" function can produce transfer functions using the following syntax. The numerator and denominator coefficients of the transfer function are "num" and "den", respectively and they are used to compute the system equation:  sys = t f(num, den). The coefficients of "num" and "den" can be visualised as vectors, with "s" serving as the Laplace variable and the coefficients as descending powers of "s." Consider using the transfer function equation below as an example to create

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A marine biologist wants to determine the impact of warming oceans on the coral in Great Barrier Reef. Which option below best describes the population he will study?

Answers

Answer:All the oceans in the world

Only the ocean in which the Great Barrier Reef is found

Coral in all the oceans of the world

Only coral found in the Great Barrier Reef

Step-by-step explanation:

Answer: all oceans

Step-by-step explanation:

factor each polynomial by grouping
^(3)+4x^(2)+2x+8

4b^(3)-6b^(2)+10b-15

2m^(3)+4m^(2)+6m+12

7r^(3)-35r^(2)+6r-30

10a^(3)+4a^(2)+5a+2

Answers

The required factor each polynomial by grouping are factored.

What are polynomials?

A polynomial is an algebraic expression in which the operators "+" and "-" are used to separate terms, and the exponents of the variables are consistently non-negative integers. Polynomials include, for instance, x² + x + 5, y² + 1, and 3x³ - 7x + 2.

According to question:1)

1) [tex]x^3+4x^2+2x+8[/tex]

can be factored by grouping as:

[tex]x^3 + 2x + 4x^2 + 8[/tex]

= [tex]x(x^2+2) + 4(x^2+2)[/tex]

= [tex](x+4)(x^2+2)[/tex]

2) [tex]4b^3-6b^2+10b-15[/tex]

can be factored by grouping as:

[tex]2b^2(2b-3)+5(2b-3)[/tex]

=[tex](2b-3)(2b^2+5)[/tex]

3)[tex]2m^3+4m^2+6m+12[/tex]

can be factored by grouping as:

[tex]2m^2(m+2) + 6(m+2)[/tex]

= [tex](2m^2+6)(m+2)[/tex]

= [tex]2(m^2+3)(m+2)[/tex]

4) [tex]7r^3-35r^2+6r-30[/tex]

can be factored by grouping as:

[tex]7r^2(r-5)+6(r-5)[/tex]

=[tex](7r^2+6)(r-5)[/tex]

[tex]10a^3+4a^2+5a+2[/tex]

can be factored by grouping as:

[tex]2a^2(5a+2)+1(5a+2) = (2a^2+1)(5a+2)[/tex]

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What is the value of 50g in tbsp?

Answers

The conversion rate for grams to tablespoons is 1 gram is equal to 0.2 tablespoons. This conversion is useful for both converting small amounts of ingredients in recipes and converting larger amounts of ingredients in recipes.50 grams is equal to 10 tablespoons."

This means that 50 grams is equal to 10 tablespoons. To calculate the value of 50 grams in tablespoons, we can use the following formula:50 grams x 0.2 tablespoons = 10 tablespoons.The value of 50 grams in tablespoons is 10 tablespoons.To convert from grams to tablespoons, the basic formula is to multiply the weight in grams by 0.2. This conversion is useful for converting small amounts of ingredients in recipes, as many recipes call for weights in grams rather than tablespoons. For example, if a recipe calls for 20 grams of butter, this would be equal to 4 tablespoons. To convert from tablespoons to grams, the basic formula is to multiply the weight in tablespoons by 5. This conversion is useful for converting larger amounts of ingredients in recipes, as many recipes call for weights in tablespoons rather than grams. For example, if a recipe calls for 8 tablespoons of sugar, this would be equal to 40 grams. To summarize, the value of 50 grams in tablespoons is 10 tablespoons. This conversion is useful for both converting small amounts of ingredients in recipes and converting larger amounts of ingredients in recipes.

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Sydney and two of her friends want to
go to a concert by one of their favorite
bands. Sydney found a deal that was
$102.51 for three tickets. How much
does each ticket cost?

Answers

The cost of each ticket is $34.17

How to determine the cost of each ticket

To find the cost of each ticket, we need to divide the total cost of the tickets by the number of tickets.

In this case, the total cost of the tickets is $102.51 for three tickets.

So, to find the cost of one ticket,

We can divide $102.51 by 3:

Using the above as a guide, we have the following:

$102.51 ÷ 3 = $34.17

Hence, each ticket costs $34.17.

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What value for x makes the equation −13(x + 11) + 12x = -26 true

Answers

Answer:

x= -177

Step-by-step explanation:

−13(x + 11) + 12x =-26

x=-177

ABCD is a parallelogram.
The diagonals of ABCD intersect at O.
OA = a and OB = b
a) Express the vector CA in terms of a.
b) Express the vector AB in terms of a and b.
c) Express the vector BC in terms of a and b.

Answers

Answer:

[tex]\textsf{a)} \quad \overrightarrow{CA} =2\textbf{a}[/tex]

[tex]\textsf{b)} \quad \overrightarrow{AB} =\textbf{b}-\textbf{a}[/tex]

[tex]\textsf{c)} \quad \overrightarrow{BC} =-\textbf{a}-\textbf{b}[/tex]

Step-by-step explanation:

A parallelogram is a quadrilateral where opposite sides are equal in length and parallel to each other.  

The diagonals of a parallelogram are not equal in length, but they bisect each other (divide into two equal parts).

Therefore, if OA = a then CO = a.

Similarly, if OB = b then DO = b.

Part (a)

Express the vector CA in terms of a:

[tex]\begin{aligned}\overrightarrow{CA} &= \overrightarrow{CO} + \overrightarrow{OA}\\&=\textbf{a}+\textbf{a}\\&=2\textbf{a}\end{aligned}[/tex]

Part (b)

Express the vector AB in terms of a and b:

[tex]\begin{aligned}\overrightarrow{AB} &= \overrightarrow{AO} + \overrightarrow{OB}\\&= -\overrightarrow{OA} + \overrightarrow{OB}\\&= \overrightarrow{OB}-\overrightarrow{OA}\\&=\textbf{b}-\textbf{a}\end{aligned}[/tex]

Part (c)

Express the vector BC in terms of a and b:

[tex]\begin{aligned}\overrightarrow{BC} &= \overrightarrow{BO} + \overrightarrow{OC}\\&= -\overrightarrow{OB} - \overrightarrow{CO}\\&= -\overrightarrow{CO}-\overrightarrow{OB}\\&=-\textbf{a}-\textbf{b}\end{aligned}[/tex]

50 POINTS, Which statements describe the solutions to the inequality x less-than negative 20? Check all that apply.
There are infinite solutions.
Each solution is negative.
Each solution is positive.
The solutions are both positive and negative.
The solutions contain only integer values.
The solutions contain rational number values.

A little help is required please. I choose A, C, and E, Is this right?

Answers

The solutions can be any rational number less than -20. They do not have to be integers.

What is rational number?

Real numbers are the set of all rational and irrational numbers, which include numbers such as integers, fractions, decimals, square roots, and transcendental numbers like pi and e. Real numbers can be represented on a number line, where each point corresponds to a unique real number. The set of real numbers is denoted by the symbol R. Real numbers are used in various branches of mathematics, including algebra, calculus, and geometry, and have applications in various fields such as physics, engineering, and economics.

Given to the question: -

No, your choices are not correct.

The correct choices are:

There are infinite solutions.

Each solution is less than negative 20.

Each solution is a real number.

The solutions contain rational number values.

To explain further:

The inequality x < -20 means that any value of x that is less than -20 is a solution. There are an infinite number of values less than -20, so there are infinite solutions.

Each solution is less than -20. Therefore, each solution is negative.

The solutions can be any real number less than -20, so they can be positive, negative or zero, but they must be less than -20.

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The volume of the cone is 471 cubic yards and the radius is 5. What is the height of the cone?
ues 13.4 for π

Answers

Answer:

Step-by-step explanation:

The formula for the volume of a cone is given by:

V = (1/3)πr^2h

where V is the volume of the cone, r is the radius of the base, h is the height of the cone, and π is the mathematical constant pi (approximately equal to 3.14159).

Substituting the given values, we get:

471 = (1/3) x 13.4 x 5^2 x h

Multiplying both sides by 3 and dividing by 13.4 x 25, we get:

h = 471 x 3 / (13.4 x 25)

h ≈ 6.98 yards (rounded to two decimal places)

Therefore, the height of the cone is approximately 6.98 yards.

what is the product?

Answers

The product is ( 2) option (B)

( 0)

What is scalar product?

A scalar is a physical quantity that is completely defined by its magnitude. Dot Product: A dot product is the product of two vectors by taking the component of the second vector in the direction of the first vector. In the above diagram, there are two vectors A → and B → .

The scalar product is obtained by multiplying 2 by other value

2 × -1 = -2

2 × 0 = 0

therefore the scalar product is {2}

{0}

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The average temperatures for two of the world's hottest places are given. Determine which location has the warmer average temperature and by how many degrees Fahrenheit
Location A: 85.3°F and Location B: 29.3°C
The location with the warmer average temperature is
(Round to the nearest tenth of a degree as needed.)
which is warmer by about F

Answers

Location A has the warmer average temperature, by about 0.6°F (rounded to one decimal place).

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To compare the temperatures of Location A and Location B, we need to convert the temperature of Location B from Celsius to Fahrenheit. We can use the formula:

°F = (°C × 9/5) + 32

Substituting the given temperature of Location B, we get:

°F = (29.3 × 9/5) + 32 = 84.74°F (rounded to two decimal places)

So, the average temperature of Location A is 85.3°F and the average temperature of Location B is 84.74°F (rounded to two decimal places).

Therefore, Location A has the warmer average temperature, by about 0.6°F (rounded to one decimal place).

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Mike wrote a pattern starting at 15 and following the rule "add 5." What is the missing term in the pattern?
15, 25, 30, 35...
O 10
40
30
O 20

Answers

Answer:

40

Step-by-step explanation:

Examine the graph.


How many times does Marc increase his speed during his drive to work?



A. Marc never increases his speed.


B. Marc increases his speed 3 times.


C. Marc increases his speed 2 times.


D. Marc increases his speed 1 time.

Answers

The required speed of the object increase only one time.

Explain about change in motion in graph?

We can see how far an object has moved over time by looking at a distance-time graph. The motion is faster when the graph is steeper. A horizontal line indicates that an object is at rest and not altering position. A downward sloping line indicates that the thing is going back to the beginning.

According to question:

As we can see that upwards and downwards in the graph, which says about the increase and decrease in speed of the object.

First speed of object increase, then constant for some time.After that it decreases and then constant, at last it was decrease.

So, the speed of car is increase only one time.

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help me please and can yall help me understand it

Answers

Answer is 84
Explanation: 180-(48+48)
= 180-96
= 84

Can somebody help with number 8 find the value of each variable using the properties of a Parallelogram p

Answers

Answer: (9,8) A

Step-by-step explanation: how the mandle 10 30  6 150 144

what is the meaning of permutations and combinations?

Answers

Answer:

Step-by-step explanation:

Permutations and combinations are mathematical concepts that deal with counting the number of different arrangements or selections of objects from a set.

Permutations:

A permutation is an arrangement of objects in a specific order. For example, consider a set of three letters: A, B, and C. There are 3! = 6 possible permutations of these letters, which are ABC, ACB, BAC, BCA, CAB, and CBA. The notation "3!" is the factorial notation, which means 3 × 2 × 1.

Combinations:

A combination is a selection of objects, where the order does not matter. For example, consider a set of three letters: A, B, and C. There are 3 C 2 = 3 possible combinations of two letters from this set, which are AB, AC, and BC. The notation "3 C 2" is the combination notation, which means the number of ways to choose k objects from a set of n objects.

In summary, permutations deal with the arrangement of objects in a specific order, while combinations deal with the selection of objects without regard to the order.

Janice is at her favorite store checking out. She wants to buy a few shirts (s) that cost $14 each and a pair of jeans that cost $32. She wants to spend less than $88. How many shirts can she buy without going over her limit? Write an inequality to represent the scenario. Then, solve.

Answers

The number of shirts that Janice can buy without going over her limit is; 3 shirts

How to solve Inequality word problems?

The number of shirts she can buy is denoted as s.

Cost of each shirt = $14

Cost of a pair of jeans = $32

She wants to spend less than $88.

Thus, the inequality that depicts this problem is;

14s + 32 < 88

Subtract 32 from both sides to get;

14s < 56

Divide both sides by 14 to get;

s < 4

Thus, maximum number of shirts will be 3 shirts

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factor the following:
(a-b)*z+3(b-a)^2

Answers

The factored expression of (a-b) * 2 + 3(b-a)^2 is (-2 + 3(b - a))(b - a)

How to factor the expression

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

(a-b)*z+3(b-a)^2

Express properly

So, we have

(a-b) * 2 + 3(b-a)^2

Rewrite as

-2(b - a) + 3(b - a)^2

Factor out b - a from the expression

So, we have

(-2 + 3(b - a))(b - a)

Hence, the factored expression is (-2 + 3(b - a))(b - a)

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A store is having a sale where all shoes are discounted by 15%. Xavier has a coupon for $2 off the price of one pair of shoes.

The store applies the coupon first and then takes 15% off the reduced price. Xavier pays 15% for a pair of shoes.

10.1 Write an equation to describe this situation

10.2 What is the original price of the shoes before the sale and the coupon?


Bottom help too!! Equation:
1. 1/4 (x-6) =-3
2. 5-2 (x-1) =31

Answers

Answer:

a=x-89|4|-3<69

Step-by-step explanation:

If the measure of each central angle of a regular polygon is 60degree. What is the measure of each interior angle

Answers

The measure of each interior angle is 120 degrees.

In conclusion, the measure of each interior angle of a regular polygon with central angles measuring 60 degrees is 120 degrees.

Measure of each interior angle

The measure of each interior angle of a regular polygon with central angles measuring 60 degrees can be found using the formula (n-2)180/n, where n is the number of sides of the polygon.

First, we need to find the number of sides of the polygon. Since the measure of each central angle is 60 degrees, we can use the formula 360/n = 60 to find the number of sides.

Solving for n, we get: 360/n = 60 360 = 60n n = 360/60 n = 6 So the polygon has 6 sides.

Now we can use the formula (n-2)180/n to find the measure of each interior angle:

(6-2)180/6 = (4)180/6 = 720/6 = 120 degrees

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La semana pasada Pedro y Pablo fueron al doctor a una consulta de rutina si Pedro pesa 43 kg y Pablo pesaba 94 libras quien pesa más ?

Answers

Pedro weighs slightly more than Pablo.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

Pedro weighs = 43 kg

Pablo weighs = 94 pounds.

Now,

1 kg = 2.205 pounds

Multiply 43 on both sides.

43 kg = 43 x 2.205 pounds

43 kg = 94.815 pounds

94.815 pounds > 94 pounds

We can see that Pedro weighs slightly more than Pablo.

Thus,

Pedro weighs slightly more than Pablo.

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The complete question in English.

Last week, Pedro and Pablo went to the doctor for a routine checkup. If Pedro weighs 43 kg and Pablo weighs 94 pounds, compare their weights to the same unit of measurement.

Who weights more?

What is the value of the following function when x = 0?
y=-5
y=-2
Y=-1
Y= 0

Answers

The numeric value of the function when x = 0 is found replacing each instance of x by zero in the definition of the function.

If a graph is given, then the numeric value is given as the value of y when the function crosses the y-axis.

How to find the numeric value of a function or of an expression?

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

Supposing we have a function definition, then the numeric value at x = 0 is found replacing each instance of x by zero.

On graph, x = 0 is when the graph of the function touches or crosses the y-axis.

Missing Information

The problem is incomplete, hence the general procedure to obtain the numeric value at x = 0 was presented.

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The amount of time Jill trained for a marathon this month is 125% of the amount of time she trained last month. If Jill trained for 80 hours last month, how many hours did she train this month?

I need to do this in the Percent Porportion way. I know how to do it but I do not know the awnser. :)​

Answers

Answer:

The amount of time Jill trained this month is 125% of the amount of time she trained last month, which was 80 hours. To find the number of hours she trained this month, we can multiply 80 hours by 125%:

80 hours * 125% = 80 hours * 1.25 = 100 hours

So Jill trained for 100 hours this month.

Answer:

100hours

100 hours / 80 hours * 100% = 125%

Step-by-step explanation:

The amount of time Jill trained this month is 125% of the amount of time she trained last month, which was 80 hours. So, she trained for 125% of 80 hours = 100 hours.

To find this answer as a percentage, we can calculate what percentage of 80 hours 100 hours is:

100 hours / 80 hours * 100% = 125%

So Jill trained for 125% of the amount of time she trained last month.

f(3/4) If f(x) =2x-1/4

Answers

If the given function is f(3/4), then evaluation of function (3/4) = 5/4.

What is expression ?

An expression is a mathematical phrase that can contain numbers, variables, and operators such as addition, subtraction, multiplication, and division. It can also contain functions, exponents, and other mathematical symbols.

Expressions can be used to represent a wide range of mathematical concepts, such as equations, inequalities, and formulas. They can be as simple as a single number or variable, or they can be more complex, involving multiple operations and variables.

What is function ?

In mathematics, a function is a relation between a set of inputs (called the domain) and a set of possible outputs (called the range) with the property that each input is related to exactly one output. In other words, a function is a rule or mapping that assigns a unique output to each input.

Functions can be expressed using a variety of mathematical expressions, such as algebraic formulas, graphs, and tables. They are used to model relationships between variables in many areas of mathematics, science, engineering, and other fields.

According t o given condition :

To find f(3/4), we simply substitute 3/4 in place of x in the given function f(x):

f(3/4) = 2(3/4) - 1/4

Simplifying the expression, we get:

f(3/4) = 6/4 - 1/4

f(3/4) = 5/4

Therefore, if the given function is f(3/4), then evaluation of function (3/4) = 5/4.

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two trains, train a and train b weigh a total of 537 tons. train a is heavier than train b. the difference if their weights is 421 tons. what is the weight of each train?

Answers

Answer:

Let the weight of Train A be x tons. Then the weight of Train B is 537 - x tons. We know that the difference between their weights is 421 tons, so we can set up an equation to solve for x:

x - (537 - x) = 421

Expanding the right side:

x - 537 + x = 421

Combining like terms:

2x = 958

Dividing both sides by 2:

x = 479

So Train A weighs 479 tons and Train B weighs 537 - 479 = 58 tons.

Step-by-step explanation:

in which situation would an accountant prepare a variance analysis?

Answers

Variance analysis is the quantitative investigation of the difference between actual and planned behavior. This analysis is used to maintain control over a business through the investigation of areas in which performance was unexpectedly poor.

Variance analysis is the study of deviations of actual behaviour versus forecasted or planned behaviour in budgeting or management accounting. This is essentially concerned with how the difference of actual and planned behaviors indicates how business performance is being impacted.

Comparing Budget with Actual: Variance analysis helps in managing the annual budgets by monitoring the budgeted figures and comparing it with the actual revenue/cost. In case of companies which are project or program driven, the financial data are evaluated at key intervals such as month close, quarter end, etc.

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Camden just accepted a job at a new company where he will make an annual salary of $43000. Camden was told that for each year he stays with the company, he will be given a salary raise of $2000. How much would Camden make as a salary after 7 years working for the company? What would be his salary after
t years?

Answers

Answer:

Step-by-step explanation:

His salary after 7 years would be $57000 per year

Answer:

Step-by-step explanation:

the answer for this question would be $57,000.

Other Questions
Are the two triangles similar? How do you know?A.)noB.)yes; by AAC.)yes; by SASD.)yes; by SSS What is test anxiety?A) a pathological conditionB) a psychological conditionC) a pseudo-conditionD) a psychopathic condition consider the theoretical maximum atp yield from the complete oxidation of glucose via aerobic respiration in prokaryotes. match the relative contribution in terms of atp (substrate-level phosphorylation plus oxidative phosphorylation) with the correct metabolic component. instructions 60 points!Write the message you would speak when leaving a phone message at your dentist's office, asking for an appointment to get your teeth checked. shorter wavelength spectral lines correspond to lower energy transitions. All of the following are true of the Aztecs EXCEPT:The Aztecs and two other vassal states successfully rebelled against the reigning city-state in the Mexican Basin in 1428.The Aztec city of Tenochtitln became the capital of an empire based in the Mexican Basin.The local elites of states conquered by the Aztecs were left in place, but they were required to leave their sons as hostages for good behavior.The state that was established by the Aztecs was much less centralized than either the Teotihuacn or Toltec city-states. Which of the following examples shows a person with high self-esteem?O Brian may try soccer because he thinks he is not very good.O Dwayne knows he will strike out at the plate.O Kendall thinks he is the 12th best player on the team.Quentin is a strong leader on the baseball team. Helena thinks of an equation. It can be written as ax + bx + c = 0, where a is a positive integer 2 less than 10, and b and c are integers. The two solutions to Helena's equation are x = -3/8 and x = 5. Calculate the values of a, b and c. Listen to what a group of tourists shopping at an open-air market say and select the demonstrative adjectives you hear.You hear: Me gusta mucho esa bolsa. true/false. a system of federalism in which state and national powers are neatly divided between the national and state governments. most powers of the national government are not shared with the states, and most powers of the states are not shared with the national government. the _________ is a management report of outcome measures. Who is Sonny Corleone based on? Scientists want to study Jupiter because the planet may hold clues about the formation of the solar system. According to Scott Bolton, an astrophysicist at the Southwest Research Institute in Texas, Jupiter is like a time capsule. Many astronomers theorize that Jupiter was the first planet in the solar system to form. They believe that Jupiter got most of the mass that remained after the sun's creation, and its enormous gravity field has enabled it to hold on to that original material. Astronomers also believe that this is why the planet is so immense. Jupiter is so big that it could contain everything in the solar system, minus the sun. Determine the independent and dependent variables from the following situation. Delilah was given $50 for her birthday. Every month she saves $15. what is definition post facto law ? What is the template strand and coding strand of DNA? Place the following on the number line given A 3/2 b9/5c14/10 Roosevelt hoped to reconcile democracy, individual liberty, and economic recovery and development. He conceived the New Deal as an alternative to socialism on the _______, Nazism on the _____, and the inaction favored by upholders of _______ capitalism. you should create an index on the v state column in the vendor table. this new index willhelp in the execution of this query because the conditional operation uses the v state column inthe conditional criteria. in addition, you should create an index on v name, because it is used inthe order by clause. the commands to create the indexes are: create index vend ndx1 on vendor(v state); create index vend ndx2 on vendor(v name); note that we have used the index names vend ndx1 and vend ndx2, respectively. What is present perfect subjunctive?