All categories

3 years ago

Which sequence is modeled by the graph below? Coordinates are 1,1 2,2 3,4 4,8

2 answers:

7 0

The point of the graph are: (1,1),(2,2), (3,4), (4,8).
Then the sequence is:

For the x-coordinate:1,2,3,4,5,6,7...

For the y-coordinate:1,2,4,8, which is 2^0,2^1,2^2,2^3... so there for the next y-coordinates are 16,32,64,128, ...

So the sequence is: 1,2,4,8,16,32,... 2^x.

vesna_86 [32]3 years ago

6 0

The given points are:

1,1
2,2
3,4
4,8

The first point indicates the number of term and second points indicate the value of the term in the sequence.

So, the sequence we get is:

1, 2, 4, 8, ...

Notice that each term of the sequence is obtained by multiplying the previous term by 2. A sequence with such a relation is known as Geometric Sequence or a Geometric Progression (G.P)

You might be interested in

can someone solve each of these with work shown!! THANK U SO MUCH it will be of so much help pleaseee

Shtirlitz [24]

Answer:

Ok I am solving the answer right now give me a minute.

6 0

3 years ago

Solve the formula v=s^2h for s

Mademuasel [1]

Answer:

The answer is A.

Step-by-step explanation:

Algebraic equations have two components other than the equal sign: the constant and the variable. A constant is a number (0, 1, 2, ...). A variable is a quantity that can be any constant unless specified to be a specific one. For example, if I say x = 2, then x has the value of 2 and only 2.

If I wanted to solve an algebraic equation like 2x - 4 = 6, I have to isolate x so that x is on one side of the equation and a constant is on the other side of the equation. This would mean that x would equal a number, its sole purpose. Specifically, I'd have to apply reverse GEMA (Grouping, Exponents, Multiplication, Addition) to solve this equation.

We add 4 on both sides.

2x - 4 = 6

2x = 10

We divide by 2 on both sides.

x = 5

But what about equations that only have variables? These are known as literal equations. Just like with any algebraic equation, you'd solve for the given variable because in the end, variables are just unspecified constants (numbers). But, instead of the answer being a constant like always, the answer has to have variables.

For example, if I wanted to solve y = mx + b for b, I'd would isolate the given variable like in any other algebraic equation. In this case, we have to subtract mx on both sides.

y = mx + b

y - mx = b

b = y - mx

The same thing goes for V = s^2 * h for s. First, I have to isolate s^2 first before I consider isolating s. We do this by dividing h on both sides.

V = s^2 * h

V / h = s^2

We now have to square root both sides.

√(V / h) = s

s = √(V / h)

Answer A is the correct answer.

8 0

3 years ago

What's the gcf for x^3 y^2 and xy^5

defon

<h3>Answer: xy^2</h3>

=====================================================

Explanation:

We can rewrite x^3y^2 into x*x^2*y^2

We can rewrite xy^5 into x*y^2*y^3

Note how x*x^2*y^2 and x*y^2*y^3 both have an x in common. So that means x is part of the GCF.

Similarly, x*x^2*y^2 and x*y^2*y^3 have y^2 in common as well.

Overall, both original expressions contain x and y^2 which leads to the overall GCF being xy^2

7 0

3 years ago

Read 2 more answers

Order from greatest to least ???help 7.081;7.81;7.002;7.14

lesantik [10]

7.81 7.14 7.081 7.022
look at the first number thier all a 7 so then move to the next number 8 is bigger than 1 and 0 so 7.81 is first biggest then 1 is bigger than 0 so 7.14 is second and then look at the third number and 8 is bigger so 7.081 is next and last is 7.022

4 0

3 years ago

Which of the following could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse

Aliun [14]

Answer:

Option C is correct.

Ratio of longer leg to hypotenuse is; $\sqrt{3} : 2$

Step-by-step explanation:

This is the special right angle triangle 30°-60°-90° as shown below in the figure.

The side opposite the 30° angle is always the shortest because 30 degrees is the smallest angle.

The side opposite the 60° angle will be the longer leg, because 60 degrees is the mid-sized degree angle in this triangle.

Finally , the side opposite the 90° angle will always be the largest side(Hypotenuse) because 90 degrees is the largest angle.

In 30°−60°−90° right triangle,

the length of the hypotenuse is twice the length of the shorter leg,also
the length of the longer leg is $\sqrt{3}$ times the length of the shorter leg.

Then:

the sides are in proportion i.e, $1:\sqrt{3} :2$

Therefore, the ratio of the length of the longer leg to the length of its hypotenuse is: $\sqrt{3} : 2$

7 0

3 years ago

Read 2 more answers