what is the 17th term in the arithmetic sequence in which a6 is 101 and a9 is 83

Answers

Answer 1

Answer:

The 17th term in arithmetic sequence is 68

Step-by-step explanation:

The general formula of arithmetic sequence is:

aₙ = a₁ + (n – 1)d.

We are given a₆ = 101 and a₉ = 83 and we need to find a₁₇

To find the term a₁₇ we should know a₁ and d. So we would find both

a₆ = a₁ +(6-1)d

101 = a₁ +(5)d

101 = a₁ +5d     eq(1)

and

a₉ = a₁ +(9-1)d    

83 = a₁ + 8d       eq(2)

Subtracting eq(2) from eq(1)

101 = a₁ +5d

83 = a₁ + 8d

-       -     -

__________

18 = -3d

=> d = 18/-3

=> d = -6

Putting value of d in eq(1)

101 = a₁ + 5d

101 = a₁ + 5(-3)

101 = a₁ -15

=> a₁ = 101+15

=> a₁ = 116

Now finding a₁₇:

aₙ = a₁ + (n – 1)d.

a₁₇ = 116 +(17-1)(-3)

a₁₇ = 116+(16)(-3)

a₁₇ = 116 - 48

a₁₇ = 68

So, the 17th term in arithmetic sequence is 68


Related Questions

9/14 - 9/20 is the <,>,or =

Answers

[tex]\dfrac{9}{14}-\dfrac{9}{20}[/tex]

The denominator of both fractions is different however the numerator is the same therefore we can conclude that the fraction with bigger denominator will be smaller than the one with smaller denominator.

Therefore [tex]\dfrac{9}{14}>\dfrac{9}{20}[/tex]

Hope this helps.

r3t40

A system of equations is shown below:

3x − y = 2
x + y = 6

The x−coordinate of the solution to this system of equations is

Answers

[tex]

3x-y=2 \\

x+y=6 \\ \\

4x=8\Longrightarrow x=\boxed{2}

[/tex]

The x coordinate is equal to 2.

Here we used elimination to eliminate y by adding both equations.

Hope this helps.

r3t40

what is the answer to:
-1.5x -3 < 5.5

Answers

For this case we have the following expression:

[tex]-1.5x-3 <5.5[/tex]

Adding 3.1 to both sides of the inequality:

[tex]-1.5x <5.5 + 3\\-1.5x <8.5[/tex]

Dividing between -1.5 on both sides of the inequality, keeping in mind that the sign changes direction:

[tex]x> \frac {8.5} {- 1.5}\\x> -5.66666[/tex]

Answer:

[tex]x> -5.66666[/tex]

x> -5.6 periodical number

Answer:

{x| x > -5.667}

Step-by-step explanation:

We have the following inequality[tex]-1.5x -3 < 5.5[/tex]

We must solve the incus for the variable x

[tex]-1.5x -3 < 5.5[/tex]

Add 3 on both sides of inequality

[tex]-1.5x -3 +3 < 5.5 +3\\\\-1.5x<5.5 +3\\\\-1.5x<8.5[/tex]

Multiply by -1 both sides of the inequality

[tex](-1)*(-1.5)x<8.5*(-1)\\\\1.5x>-8.5[/tex]

Divide between 1.5 both sides of the inequality

[tex]\frac{1.5}{1.5}x>-\frac{8.5}{1.5}\\\\x > -5.667[/tex]

The answer is:

[tex]x > -5.667[/tex]

{x| x > -5.667}

How many atoms are there in a 5.2-g copper

Answers

Answer:

There are [tex]4.93\times 10^{22}[/tex] copper atoms in 5.2 gram of metallic copper.

Step-by-step explanation:

Start by finding the number of moles of copper atoms in that 5.2 gram of metallic copper. Look up the relative atomic mass of copper on a modern periodic table.

Cu: 63.546.

In other words, the mass of one mole of copper atoms is 63.546 gram.

[tex]M(\mathrm{Cu}) = \rm 63.546\; g\cdot mol^{-1}[/tex].

How many moles of copper atoms in that 5.2 gram sample?

[tex]\displaystyle n = \frac{m}{M} =\rm \frac{5.2\; g}{63.546\; g\cdot mol^{-1}} = 0.0818305\; mol[/tex].

Now, how many atoms is [tex]\rm 0.0818305\; mol[/tex]?

The Avogadro's Number gives the number of particles in one mole:

[tex]N_A \approx \rm 6.022\times 10^{23}\;mol^{-1}[/tex]. (Encyclopedia Britannica)

There are [tex]6.022\times 10^{23}[/tex] particles (a very large number) in one mole. [tex]\rm 0.0818305\; mol[/tex] of copper atoms will thus contain

[tex]N = n\cdot N_A \approx \rm 0.0818305\; mol\times 6.023\times 10^{23}\;mol^{-1} \approx 4.93\times 10^{22}[/tex]

copper atoms.

plz answer Find the coordinates of the vertices of the figure after the given transformation.

translation: (x, y)→(x + 1, y - 1)
A) N'(0, -2), F'(4, 2), Q'(4, -2)
B) N'(-1, 1), F'(3, -3), Q'(3, 1)
C) N'(0, -1), F'(4, 3), Q'(4, -1)
D) N'(0, -5), F'(4, -1), Q'(4, -5)

Answers

Answer:

A is the correct answer.

Step-by-step explanation:

See if the translation is to be one more in x value and one less in y value then mark each dot exactly to the right by one point and down by one point. Originally the n position is at -1,-1 if the x gets one more and the y gets one less it's new point would be 0,-2.

Factorise e2 + 4e

pls help me thanks xoxox

Answers

Answer:

e =0 or e= -4

Step-by-step explanation:

First we'll equate the given equation with zero then it'll be proper answer and after that it follows like this

By taking e has common

[tex]e(e + 4) = 0 \\ [/tex]

Now,

From this we compare both equation separately and we get

e=0 and e= -4

Note:- If you don't wanna equate the equation with 0 then your answer will be

[tex]e(e + 4)[/tex]

Hope it helps you ...

Step-by-step explanation:

Here,

e²+4e

If we take e common we will get,

=e. e+ 4e

= e(e+4)

Which is your final result but you cannot equate it to zero because it is not mentioned in the question. But I think the question is incomplete.

Lelia says that 75% of a number will always be greater than 50% of a number. Complete the inequality to support Lelia's claim and one to show that she is incorrect.

Answers

Answer:

Let 'x' and 'y' be two different numbers.

Leila says that 75% of a number will always be greater than 50% of a number. The inequality that represents this statement is the following:

0.75x > 0.5y

Let x = 100 and y=200. We have that:

0.75(100) > 0.5(200)

75 > 100 ❌ INCORRECT

Given that we found a case in which 75% of a number is not greater than 50% of a number, we can conclude that Leila's claim is incorrect.

If the greatest value of n is 8, which inequality best shows all the possible values of n? n < 8 n > 8 n ≤ 8 n ≥ 8

Answers

The greatest value is 8, which means n can be either 8 or any number less than 8.

The inequality would be n is less than or equal to 8, which is written as:

n ≤ 8

Answer:

this is from two years ago so can i just-

Step-by-step explanation:

Find the area of a circle with diameter 18 ft.

Answers

Answer:

81 π / 254.469004941 ft²

Step-by-step explanation:

Area of circle = π × r²

Half the diameter = radius

18 ft ÷ 2 = 9 ft

9 ft = radius

Area of circle = π × 9²

Area of circle = 81π

Area of circle = 81 π / 254.469004941

Area of circle =

To find the area of a circle with a diameter of 18 feet, first find the radius (9 feet), then apply the formula A = πr². The area is approximately 254.47 square feet.

To find the area of a circle, you need to use the formula:

A = πr²

Given the circle's diameter is 18 feet, we first need to find the radius. The radius (r) is half the diameter:

r = D / 2 = 18 ft / 2 = 9 ft

Now, substitute the radius back into the area formula:

A = πr² = π(9 ft)² = π(81 ft²)

Using the approximation π ≈ 3.14159, we get:

A ≈ 3.14159 × 81 ft² ≈ 254.47 ft²

Therefore, the area of the circle is approximately 254.47 square feet.

what is the initial value of the equation shown? y=-4x+3

Answers

Konichiwa~! My name is Zalgo and I am here to be of assistance for you on this confusing day. In order to find it's "Initial Value", we need to do y=mx+b. The M would equal -4 and B would equal 3. B is the Initial Value you are looking for, meaning that the answer is 3.

I hope that this helps! :)

"Stay Brainly and stay proud!" - Zalgo

(By the way, do you mind marking me as Brainliest? I'd greatly appreciate it! Arigato~! X3)

Answer:

can you give him brainliest his answer is correct and he showed good work

Step-by-step explanation:

Two questions for 30 points.

Answers

Answer:

The first question is c

Answer:

The first question is c

Step-by-step explanation:

yes its correct



The system shown is _____.

consistent
equivalent
inconsistent

Answers

Answer:

I believe it's C.

Step-by-step explanation:

Hope my answer has helped you!

Answer:

consistent.

Step-by-step explanation:

Consistent solution: When two lines cut at one point. The solution of system of equation is unique.Then, the solution is consistent.

Equivalent solution: When two lines are coincide then, system of equation is equivalent.

In other words, the solution set of two equation are same then, the equation is called equivalent system.

Inconsistent solution: The  system of equation is called inconsistent when there is no solution or lines do not cross .

In given figure, two lines cross at point (3,2).

Therefore, there is one solution of system of equation.

Hence, the system of equation is consistent.

what is the value of the rational expression 2x+1 : x*2 when x=5?

Answers

Answer:

The correct answer option is [tex] \frac { 1 1 } { 2 5 } [/tex].

Step-by-step explanation:

We are given the following rational expression and we are to evaluate and find its value when x is equal to 5 ([tex] x = 5 [/tex]:

[tex] \frac { 2 x + 1 } { x ^ 2 } [/tex]

So substituting the given value of [tex] x [/tex] to find the value of the given rational expression:

[tex] \frac { 2 (5) + 1 } { 5 ^ 2 } [/tex] = [tex] \frac { 1 1 } { 2 5 } [/tex]

Answer:

The correct answer is third option

11/25

Step-by-step explanation:

It is given an expression (2x + 1)/x²

To find the value of x

We have (2x + 1)/x²

When x = 5, substitute the value of x in expression we get,

(2x + 1)/x² = (2 * 5 + 1)/5²

= (10 + 1)/25

 = 11/25

The correct answer is third option

11/25

which graph depicts the path of a projectile​

Answers

B is the answer

Step-by-step explanation:

Step-by-step explanation:

When an object is thrown at an angle with horizontal under the action of gravity is called projectile motion and the object which is thrown is called a projectile. The path followed by the object is parabolic. An object when thrown in upward direction, after reaching maximum height it will come back to ground.

Graph (b) shows the path of a projectile.

Which value completes the table? A. -17 b. -3 c. 1 d. 3

Answers

Given : Function f(x) = x⁵ + (x + 3)²

The Question is to find the image of the given function at x = -1

In order to find the image of a function for a given value, We need to substitute the value in the respective function

[tex]:\implies[/tex]  f(-1) = (-1)⁵ + (-1 + 3)²

[tex]:\implies[/tex]  f(-1) = -1 + (2)²

[tex]:\implies[/tex]  f(-1) = -1 + 4

[tex]:\implies[/tex]  f(-1) = 3

d. 3 is compleates the table

How do you solve function notation?

An equation involving x or y, which is also the function, could be written in the form y = “some expression involving x”; that is, y = f ( x). This last expression is read as “ y equals f of x” or means that y is a function of x.

Given,

Function f(x) = x⁵ + (x + 3)²

The problem is to find the image of the given function at x = -1

In order to find the image of the function for a given value, We need to substitute the value in the respective function

 f(-1) = (-1)⁵ + (-1 + 3)²

 f(-1) = -1 + (2)²

 f(-1) = -1 + 4

 f(-1) = 3

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Which linear inequality is represented by the graph? PLEASE HELP ASAP!!!

Answers

Answer: I'm pretty sure it's A!

Answer:

it's A because when you find the slope you fill find 1 over 3 and it's visible in the graph that the intercept is -1.3 so when you connect the function it will give you that the function is bigger or equal than y.

What is the solution to log (9x)-log2^3= 3?

Answers

For this case we have that by definition of properties logarithm is met:

[tex]log_ {b} (x) -log_ {b} (y) = log_ {b} (\frac {x} {y})[/tex]

So, rewriting the expression we have:

[tex]log (\frac {9x} {2 ^ 3}) = 3\\log (\frac {9x} {8}) = 3[/tex]

By definition of logarithm we have to:

[tex]log_ {b} (x) = y[/tex]is equivalent to[tex]b ^ y = x[/tex]

So:

[tex]10 ^ 3 = \frac {9x} {8}\\9x = 8 * 10 ^ 3\\9x = 8 * 1000\\9x = 8000\\x = \frac {8000} {9}[/tex]

ANswer:

[tex]x = \frac {8000} {9}[/tex]

Answer:

b

Step-by-step explanation: i got it right on edg

What is the range of the data below?

22
28
41
42

Answers

Final answer:

The range of the data set (22, 28, 41, 42) is calculated by subtracting the smallest number from the largest, resulting in a range of 20.

Explanation:

The question asks for the range of a given data set. The range of a set of numbers is the difference between the largest and smallest numbers. In the provided list of numbers: 22, 28, 41, 42, the smallest value is 22 and the largest is 42.

To calculate the range, you subtract the smallest number from the largest number:

Range = Largest number - Smallest number
Range = 42 - 22
Range = 20

Therefore, the range of the data is 20.

simplify 5^12/ 5^2 x 5
give your answer in power of 5

Answers

Answer:

[tex]5^{11}[/tex]

Step-by-step explanation:

Using the rules of exponents

• [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

• [tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]

Given

[tex]\frac{5^{12} }{5^{2} }[/tex] × [tex]5^{1}[/tex], then

= [tex]5^{(12-2)}[/tex] × [tex]5^{1}[/tex]

= [tex]5^{10}[/tex] × [tex]5^{1}[/tex]

= [tex]5^{(10+1)}[/tex]

= [tex]5^{11}[/tex]

Graph the given relation or equation and find the domain and range. Then determine whether the relation or equation is a function. Y=2x+5

Answers

Answer:

pic has correct graph

domain and range in the highlighted pic are right

the relation is a function

Step-by-step explanation:

y=2x+5 has y-intercept 5 and slope 2

You have the correct pic for that.

The domain is the values of x that relation takes on, it takes on all real numbers so you have that part right.

The range is the values of y that relation takes on, it takes on all real numbers so you have that part right.

The relation is a function because it passes the vertical line test. (I can' see your is it a function part or not)

y = 2x+5 has y-intercept 5 and slope 2. The domain is the values of x that relation takes on, it takes on all real numbers so you have that part right.

What are domain and range?

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 range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

The range is the values of y that relation takes on, it takes on all real numbers from ( -2.5,0) to ( 0, 5 ).

The relation is a function because it passes the vertical line test.

Therefore, y = 2x+5 has y-intercept 5 and slope 2. The domain is the values of x that relation takes on, it takes on all real numbers so you have that part right.

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The scatter plot below shows the profit earned each month by a new company over the first year of operation. The owner writes a line of best fit equation, shown below, to model the relationship between profit earned and month. y = 2,500x - 2,500 Explain how you know that the line of best fit equation is appropriate, mentioning both the slope and y-intercept in your response.

Answers

Answer:

The regression line fits the data well. Problem can be when there is a trend, like exponential growth, but someone still wants to use linear regression. Although in this case it seems to be okay. In other words, the data points can be found under or over the line randomly. In a problematic case is when for example, there are 5 data points next to each other under the line. Usually companies don't make profit when they're first starting.

First  I focused on 3 or more points that were collinear to each other.  Collinear means that when you connect these points, you get a straight line.  These points are at months 1, 2, 3, and 9.  Then of these points, I chose 2 points to find the slope between them.

Point 1 = (1, 0)

Point 2 = (2, 2.5) or  (2, 2500)         because profit is measured in thousands

 

These are the first two points.

 

Slope = (2500 - 0) / (2 - 1)

Slope = 2500 / 1

Slope = 2500

Then I plug in the slope and values of point 1 into the slope-intercept form of the line.

y = mx + b

0 = 2500(1) + b

Now we have to Solve for b.

0 = 2500 + b

-2500 = b

 

Plug in this value of b into the slope intercept form of the equation to get the best fit line.

 y = 2500x - 2500

Answer:

i agree with the guy above

Step-by-step explanation:

A certain city has a 6% general sales tax. B) What will be the total cost of the purchase?

Answers

Answer:

Final price = 1.06x

Step-by-step explanation:

If a city has a 6% general sales tax, then the total cost of any purchase will be the original price of an item plus 6%, as follows:

Final price = (x + 0.06x) = 1.06x

Therefore, the total cost of any purchase is 1.06 where 'x' represents the price of the items without taxes.

Find the average of –25, –70, 15, –31, –25, and 40.


Question 12 options:

–16

–25

–96

16

Answers

Answer:

-16

Step-by-step explanation:

The average of –25, –70, 15, –31, –25, and 40 is -16

To determine the average of the numbers given, we shall find their sum then divide this sum by the number of values;

The sum of the numbers is;

-25-70+15-31-25+40 = -96

We have a total of 6 values, thus the average becomes;

(-96)/6 = -16

Answer: FIRST OPTION.

Step-by-step explanation:

To calculate the average of a set of numbers, we need to add the numbers and divide the sum by the amount of values into that set.

For example, given a set of numbers:

[tex]a,b,c,d[/tex]

The average will be:

[tex]average=\frac{a+b+c+d}{4}[/tex]

Then, the average of the given set of numbers (-25, -70, 15, -31, -25, and 40) is:

[tex]average=\frac{-25+(-70)+ 15+(-31)+(-25)+40}{6}\\\\average=\frac{-25-70+ 15-31-25+40}{6}\\\\average=-16[/tex]

how many cubes were used to make this figure?


Rectangular prism composed of unit cubes. Prism is 5 units by 2 units by 3 units.*

Answers

Answer:

I think its 30 I'm not 100% sure tho

Answer:

30

Step-by-step explanation:

To know how many cubes were used to create a resctangular prism you only have to calcute the volume of the rectangular prism, in order to do this you´ll need the next formula:

[tex]BxH[/tex]

Which is base area, multiplied by the height:

5x2= 10 units of base.

The base you multiply it by 3:

10x3=30

The total volume is 30 units, and those are the number of units needed to make the rectangular prism.

If the circulation for newspaper 1 is 382 thousand more than the circulation for newpaper 2, and theircombined circulation is 2492 thousand, find the circulation for each newspaper

Answers

Answer:

Step-by-step explanation:

Let's say the circulation for newspaper 1 is X. Then the circulation for newspaper 2 is smaller, by 382, so we can call it (X - 382). It's really 382,000 of course, but we can leave off the extra zeros for now.

Anyway, the total of both would have to be X + (X - 382) = 2492. This simplifies to:

 

2X - 382 = 2492

 

If you can solve that equation, you'll have the circulation for newspaper 1, in thousands.

 

Does this give you a push in the right direction?

Final answer:

The circulation of newspaper 1 is 1437 thousand and the circulation of newspaper 2 is 1055 thousand.

Explanation:

This question requires us to use a system of linear equations to solve for the circulation for each newspaper. Let's denote the circulation of newspaper 1 as x and the circulation of newspaper 2 as y.

We have two pieces of information that help us form two separate equations. The first piece of information is that newspaper 1's circulation is 382 thousand more than newspaper 2's circulation, so we can express this as:

x = y + 382

The second piece of information is that the combined circulation of both newspapers is 2492 thousand. Therefore, we form the equation:

x + y = 2492

We can now replace x in the second equation with the value of x from the first equation (y + 382) to solve for y:

(y + 382) + y = 2492

Solving that, we find that y (the circulation of newspaper 2) is 1055 thousand. Substituting y into the first equation, we can solve for x (the circulation of newspaper 1), which is 1437 thousand.

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Identify all sets to which the number belongs. –0.249851765...

Answers

Answer:

i. Irrational numbers

ii. Real numbers

Step-by-step explanation:

The given decimal is –0.249851765...

This number does not recur and it does not also terminate.

It belongs to the set of irrational numbers because it cannot be written in the form [tex]\frac{a}{b}[/tex] where [tex]a,b\in R[/tex] and [tex]b\ne0[/tex].

This numbers also belongs to the set of real numbers.

Answer:

 

irrational

Step-by-step explanation:

Are there 32 thousands in 32,601?

Answers

Answer:

yes

Step-by-step explanation:

technically though there is 32.601 thousands in 32,601 lol

Final answer:

The number 32,601 does indeed have 32 thousands in it. It is composed of 32 thousands and 601 ones when breaking down the number.

Explanation:

Yes, there are 32 thousands in 32,601. This is because the number 32,601 can be broken down into 32 thousands (which gives us 32,000) and 601 ones. For example, if you have the number 40,000 – one of the numbers you provided – it consists of 40 thousands. Thus, the number 32,601 has 32 thousands in it when breaking down the number into thousands and ones.So, the answer is YES.

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What number is the same as 3 tens + 24 ones?

Answers

Answer:

54

Step-by-step explanation:

3 tens = 3*10 = 30

24 ones = 24*1 = 24

30+24 = 54

Final answer:

The number that represents 3 tens + 24 ones is 54. This is found by adding 30 (representing the 3 tens) to 24 (representing the 24 ones).

Explanation:

The number that is the same as 3 tens + 24 ones is calculated by first understanding what each term represents.

Three tens is equivalent to 30 because one ten equals 10 and 10 multiplied by 3 equals 30.

Twenty-four ones simply means 24 because one multiplied by 24 is 24.

Therefore, to find the number that represents 3 tens + 24 ones, we add 30 and 24 together.

30 (3 tens) + 24 (24 ones) = 54

So, the number that is the same as 3 tens + 24 ones is 54.

Which of the following points lies on the circle whose center is at the origin and whose radius is 13?
(-5, 12)
W13, 13)
(6.-7)

Answers

any point that is on the circle will  have a distance of "radius" units, namely 13 units, since the radius is just that.

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \stackrel{origin}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{0})}\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{12})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(-5-0)^2+(12-0)^2}\implies d=\sqrt{(-5)^2+12^2} \\\\\\ d=\sqrt{25+144}\implies d=\sqrt{169}\implies d=13[/tex]

Final answer:

The point (-5, 12) lies on the circle with a radius of 13 and a center at the origin because it satisfies the equation [tex]x^2 +[/tex] [tex]y^2 = 13^2.[/tex]

Explanation:

The student is asking which point lies on the circle with a center at the origin and a radius of 13. To determine if a point lies on a circle defined by the equation [tex]x^2 + y^2 = r^2,[/tex] where r is the radius, we plug the point's coordinates into the equation and see if they satisfy it.

Let's examine each point:

[tex](-5, 12): (-5)^2 + (12)^2 = 25 + 144 = 169[/tex]

[tex](13, 13): (13)^2 + (13)^2 = 169 + 169 does not equal 169[/tex]

[tex](6, -7): (6)^2 + (-7)^2 = 36 + 49 = 85 does not equal 169[/tex]

Therefore, the point (-5, 12) lies on the circle because it satisfies the equation [tex](-5)^2 + (12)^2 = 13^2.[/tex]

Evaluate 2x2 - 1 when x = 3.

Answers

Hello!

2.x^2 - 1 = 2.3^2 - 1 = 2.9 - 1 = 18-1 = 17

Good luck!

Answer:11

Step-by-step explanation:2(3)x2-1=11

Other Questions
According to the map, which of these places were part of the French Empire or allied with France at some point? Select all that apply.Spain Great Britain Russian EmpireAustrian Empire Prussia What is the midpoint of the segment below?(2, 3)(-3.-2) What was the most significant result of the Spanish colonization of Central and South America?Spain became rich by stealing the wealth of the American colonies.Spain brought advanced cultural values to the American colonies.Spain brought religion and high moral values to the American colonies.Spain was transformed by the cultural richness of the New World. Which statement is true about f(x)=-6x+5-2 Write the expression in complete factoredform.5n_(c - 3) - n(C - 3) = What type of triangle has side lengths 2, 12, and 19? The length of a flower garden is 9 meters. The width of the garden, w, is unknown. If the area of the garden is greater than 45 square meters, what are the possible values of w, its width, in meters? Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x=12 Y=7 when x=3 Marlena has 3 straws. Two straws have the lengthsshown. She does not know the length of the shorteststraw, but when she forms a triangle with all three, thetriangle is obtuse. Which are possible lengths of theshortest straw? Check all that apply.5 inches6 inches7 inches8 inches9 inches Which is the angle of depression from the lighthouse on the boat ? How is temperature related to the physical change of a substance? Look at the map of Europe after World War II. How did Poland change after the war? It lost some of its western land to Germany. It gained land from Germany in the west. It became a member of the Allies. It maintained its neutrality. Please select the word from the list that best fits the definitionWhoCmoQuCundoCulDndeQuinCunto What is a plant cells source of energy for photosynthesis A pitcher claims he can throw a 0.146-kg baseball with as much momentum as a 2.70-g bullet moving with a speed of 1.50 103 m/s. (a) What must the baseball's speed be if the pitcher's claim is valid? (b) Which has greater kinetic energy, the ball or the bullet? a. The bullet has greater kinetic energy. b. The ball has greater kinetic energy. c. Both have the same kinetic energy. The dollar, or monetary unit and standard unit of currency in the U.S. monetary system, was modeled after The Spanish pesoThe German markThe British poundThe French franc Write an equation of the line given the two points below (Write your equation in slope-intercept form, y=mx+b): (-4, 4) and (6, -4) Which graph represents a function?Select one: How do you solve this? 2/10 9/12 A decrease in ones perception of a stimulus whose intensity has not changed due to higher neural inhibition isa. habituation.b. convergence.c. divergence.d. Adaptatione. Illusion