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Answer 1

Answer: (The first number are the years and the second are the amount of Komodo's) (0, 0) (1, 4) (2, 20) (3, 100) (4, 500) (5, 2,500)

Step-by-step explanation:

If there are 4 Komodo's in the first year because that's when they moved in, then there would be zero in the 0 year.

If they keep multiplying their population by 5 each year then for every year, you would multiply the existing population of that year by 5

Starting at year 1 which is (1, 4)  multiply that by 5 to get 20 and so on to get the function.

I hope this helps!

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Stefania pours 2 liters of orange juice and 1.5 liters of pineapple juice into a punch bowl. How many kiloliters are in thepunch bowl? Use the metric table to help answer the questionhecto-100deka-10Metric Tableunit1deci-0.1centi-0.01milli-0.0011,0000.0035 kiloliters0.035 kilolitersO 0.35 kiloliters3.5 kiloliters
Enter the number that belongs in the green box

Convert the fractions to decimal numbers.


Answer: 0.5 as decimal 50% as pertange hope i helped

Step-by-step explanation: <3



Step-by-step explanation:



Which graphs represent functions?


i would say the answer is c. only graph d ,, think of the line test to see if a graph is a function or not

Final answer:

Graphs that represent functions have one input corresponding to one output. Examples include straight lines, parabolas, and sine waves.


Graphs that represent functions are those in which every input has exactly one output. In other words, there can only be one value of y for each value of x.  For example, a straight line, a parabola, or a sine wave are graphs that represent functions.

On the other hand, graphs that do not represent functions may have one input value mapping to multiple output values or no output values at all. Examples of such graphs include circles, ellipses, or a graph with one vertical line intersecting it at multiple points.

It's important to note that in a function, the vertical line test can be used to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, then the graph does not represent a function.

Learn more about Graphs here:


Find the value of x and y in each triangle


The value of variables are,

⇒ x = 13.85

⇒ y = 16

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Base of triangle = 8

Now, We get;

⇒ cos 60° = 8 / y

⇒ 1/2 = 8/y

⇒ y = 8 × 2

⇒ y =  16

And, By Pythagoras theorem we get;

⇒ x² + 8² = y²

⇒ x² + 8² = 16²

⇒ x² + 64 = 256

⇒ x² = 256 - 64

⇒ x² = 192

⇒ x = √192

⇒ x = 13.85

Thus, The value of variables are,

⇒ x = 13.85

⇒ y = 16

Learn more about the triangle visit;


y = 8/cos60 = 16
x = sqr(16^2 + 8^2) = 8sqr(3) = 13.86 approx

Every day, you take the elevator from the basement parking lot that is at level-3. The elevator takes twoseconds per level and you find that it takes 46 seconds to reach your floor.
Which floor do you live on?


23 is the floor which you live on

The function f(x)=101+25x2 is represented as a power series f(x)=∑n=0[infinity]cnxn. Find the first few coefficients in the power series. Some of the other problems only ask for the nonzero coefficients, but in this problem you are supposed to include those coefficents that are 0. Also, this problem is only asking for the coefficients of the power series. It does not want you to include the x's or the powers of x.



\large a_0=101,\;a_1=0,\;a_2=25,\;a_n=0\;for\;n>2

Step-by-step explanation:

Since f(x) is a polynomial, it is a power series by itself with

\large a_0=101,\;a_1=0,\;a_2=25,\;a_n=0\;for\;n>2

On the other hand, the representation of a function as a power series around a given point is unique. This means that these are the only possible coefficients of f as a power series around 0.

S varies inversely as G. If S is 8 when G is 1.5​, find S when G is 3. ​a) Write the variation. ​b) Find S when G is 3.


Step-by-step explanation:


s \:  =  (k)/(g)

8 =  (k)/(1.5)

k \:  = 1.5 * 8 = 12

s =  (12)/(g)


s =  (12)/(3)

s = 4