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Morgarella [4.7K]
3 years ago
6

What is the third term of the sequence defined by the recursive rule? f(1) = 2 f(n)= 2f(n-1)+1

Mathematics
1 answer:
8090 [49]3 years ago
8 0
The way you worded the question kind of confuses me but i'll try to answer.

Think of recursion like climbing a ladder; in this type of sequence you start out somewhere, usually n. So in f(n-1)+1, you take n (where you started) and "step down" once, and then step up once (which brings you back where you were). Remember PEMDAS when doing these.
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How many milliliter of pure acid should be added to 10 ml of 20% acid to make 50% acid solution? Round answer to the nearest hun
Ymorist [56]
We have 10 ml of 20% acid to which we need to add "x" milliliters of 100% acid to make 50% acid.
 
.20 * 10 + 1.00x = .50 * (10 +x)
in which "x" is the volume of the 100% acid to be added.
2 + x = 5 + .5 x
.5x = 3
x = 6 milliliters

Source:
http://www.1728.org/mixture.htm
Scroll down to problem B


5 0
3 years ago
The formula V=arh gives the volume of a cylinder with radius r and height h. Find the volume of a cylinder with radius (x + 4) c
marishachu [46]

Answer:

V = a (x + 4)*5 but see below.

Step-by-step explanation:

You're not going to get any kind of answer that gives V = 122 or some other pure number.

Formula

V = arh

Givens

a = pi * r

r = (x + 4)

h = 5cm

Solution

V = a * (x + 4)*5

or

V = pi * (x + 4)^2  * 5

There is no indication of which one to choose.

6 0
3 years ago
To win the carnival game Ring Ding, you must toss a wooden ring onto a grid of rectangles so that it lands without touching any
guapka [62]

Answer:

5in x 10in

Step-by-step explanation:

Solution:

1.  You have to assume that the ring will land on the board and as a result, just focus on one rectangle of the board since they are all the same size.  

 

2.  For the ring to land entirely inside the rectangle, the center of the ring needs to be 1.5 inches inside the border (radius is 1.5 inches), so the "winning rectangle" will have dimensions:

                               L = (x - 2(1.5)) = x - 3

                              w = (2x - 2(1.5)) = 2x-3.

 

3.  Now, we will set up and solve our geometric probability equation.  The winning rectangle's area of (x-3)*(2x-3) divided by the total rectangle's area of x*(2x) = 28%

 

                                (2x-3)*(x-3)/(2x^2) = .28

                                2x^2 - 9x + 9 = .56x^2

                                1.44x^2 - 9x + 9 = 0

 

4 .  Now you can plug that in the quadratic formula and get the solutions x = 1.25 or 5.  However, it cannot by 1.25 because that is too small of a dimension for the the circle with diameter of 3 to fit in, the answers has to be 5.

 

5. As a result, the dimensions of the rectangles are 5in x 10in.  

6 0
3 years ago
Question number four pls help I will mark brainiest​
RideAnS [48]
I am not really sure but I think the answer is B
3 0
3 years ago
Solve: 24x power 3 -26x power 2 +9x -1=0​
Vlad1618 [11]

Answer:

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Step-by-step explanation:

hiiiiiiiii

4 0
3 years ago
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