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denis-greek [22]
2 years ago
11

What is the fifth term of the sequence defined by the recursive rule f(1) = 5, f(n)=f(n-1) + 3

Mathematics
1 answer:
Oxana [17]2 years ago
7 0

Answer:

f(5) = 17

Step-by-step explanation:

Using the recursive rule and f(1) = 5 , then

f(2) = f(1) + 3 = 5 + 3 = 8

f(3) = f(2) + 3 = 8 + 3 = 11

f(4) = f(3) + 3 = 11 + 3 = 14

f(5) = f(4) + 3 = 14 + 3 = 17

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The volume of a right cone is 3525\piπ units^3
Greeley [361]

The height of the right cone given its volume and its diameter is  47 units.

<h3>What is the height?</h3>

A cone is a three-dimensional object that has a circular base and a vertex.

Height of the cone = Volume of a cone ÷ 1/3(πr²)

Where:

  • π = 22/7
  • r = radius = diameter / 2 = 30 / 2 = 15 units
  • h = height

3525π÷ (1/3 x π x 15²) = 47 units

To learn more about the volume of a cone, please check: brainly.com/question/13705125

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8 0
2 years ago
Please help when Kevin bought a new office phone, he borrowed $1,200 at a rate of 18% for 9 years
pochemuha

Answer:

where is the rest of the questions

7 0
3 years ago
What are the 2 inequalities for the following word problem? A bee keeper wants to build a rectangular habitat for her bees. The
Elina [12.6K]
Two inequalities:
x > 5 (should be greater than 5 feet)
x < 30 (should be smaller than 30 feet)
One compound inequality: (more convenient inequality)
5 < x < 30

5 0
3 years ago
How do you solve X/2-5=10
Afina-wow [57]

Answer: x2-5=10  

Two solutions were found :

                  x = ± √15 = ± 3.8730

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    x^2-5-(10)=0  

Step by step solution :

Step  1  :

Trying to factor as a Difference of Squares :

1.1      Factoring:  x2-15  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 15 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares.

Equation at the end of step  1  :

 x2 - 15  = 0  

Step  2  :

Solving a Single Variable Equation :

2.1      Solve  :    x2-15 = 0  

Add  15  to both sides of the equation :  

                     x2 = 15

 

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:  

                     x  =  ± √ 15  

The equation has two real solutions  

These solutions are  x = ± √15 = ± 3.8730  

 

Two solutions were found :

                  x = ± √15 = ± 3.8730

Step-by-step explanation:

5 0
3 years ago
Yak Travel Agency arranges trips for climbing Mount Everest. For each trip, they charge an initial fee in addition to $0.15 for
Karo-lina-s [1.5K]

Answer: T = 120 + .15*x


Let T be the total price

Let 'I' be the initial price

Let 'x' be the total number of vertical meters

So, T = I + .15*x

Putting T = 645 and x = 3500 in above equation

we get, I = 120


So, the required equation is

T = 120 + .15*x

3 0
3 years ago
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