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Orlov [11]
4 years ago
5

f(5)=12 for a geometric sequence that is defined recursively by the formula f(n)=0.3*f(n-1), where n is an integer and n>0. F

ind f(7). Round your answer to the nearest hundredth.
Mathematics
2 answers:
Jet001 [13]4 years ago
7 0
Subsitute 7 for n
f(7)=0.3*f(7-1)
f(7-1)=f(6)
find f(6)
f(6)=0.3*f(6-1)
f(6-1)=f(5)=12

sub
f(7)=0.3*(0.3*12)
f(7)=1.08
ElenaW [278]4 years ago
4 0

Answer:

f(7) = 1.08

Step-by-step explanation:

Given that:

f(5) = 12

A geometric sequence that is defined recursively by the formula

f(n) = 0.3 \cdot f(n-1)       .....[1 ] where, n is an integer and n> 0.

Substitute n = 6 in [1] we have;

f(6) = 0.3 \cdot f(5)

Using f(5) = 12 we have;

f(6) = 0.3 \cdot 12

⇒f(6) =3.6

We have to find f(7).

Substitute n = 7 in [1] we have;

f(7) = 0.3 \cdot f(6)

Substitute the given values f(6) = 3.6 we have;

f(7) = 0.3 \cdot 3.6

Simplify:

f(7) = 1.08

Therefore, the value of f(7)to the nearest hundredth is, 1.08

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An iPod uses a standard 1.7 volt battery. How much resistance is in the circuit if it uses a current of
weeeeeb [17]

Answer:

R = 56.6 ohms

Step-by-step explanation:

Given that,

The voltage of the battery, V = 1.7 volt

We need to find the resistance in the circuit if it uses a current of 0.03 A.

Let the resistance be R. It can be solved using Ohms law as follows :

V = IR

R=\dfrac{V}{I}\\\\R=\dfrac{1.7}{0.03}\\R=56.6\ \Omega

So, the resistance in the circuit is 56.6 ohms.

7 0
3 years ago
At a chocolate store, 70% of the items are dark chocolate and 30% are milk chocolate. Also 20% of the items have nuts and 80% ar
Delvig [45]

Answer:

A. 13%

Step-by-step explanation:

let's suppose there's 1000 bars of chocolate in general

70 % dark = 700 dark choco bars

30 % milk = 300 milk choco bars

20 % have nuts = 200 bars have nuts

80 % don't have nuts = 800 bars don't have nuts

if 90 % of dark chocolate bars don't have nuts, that means 630 dark chocolate bars don't have nuts, but 70 have nuts

200 bars in general have nuts, if only 70 dark chocolate bars have nuts,

200 - 70 = 130

130 = 13%

7 0
3 years ago
In a graph what function is a nonvertical line or part of a nonvertical line.
timama [110]
A function cannot have multiple outputs (y-values) for any given input (x-values). For example, y=2x+3 is a function because no mater what number x represents, there is a single, unique y-value (When x=3 y=9 ). In other words, you can never have two (or more) y-values that correspond to a single x-value. Therefore, a vertical line, for example x=2, cannot be a function because it has an infinite amount of y-values for a single x-value. A horizontal line is a function because there is only one y-value for any given x-value. For example, y=3. No mater what x-value is used, there is only one y-value possible (in this case, y will always equal 3). I am, of course, referring to the cartesian coordinate system, also known as the rectangular coordinate system
5 0
4 years ago
I dont know how to do this
Blababa [14]

Answer:

<h2>Option C = 78,125</h2>

Step-by-step explanation:

First prime factorize 135,

135 = 5×3×3×3

Now prime factorize 128,

128=2×2×2×2×2×2×2 = 2^7

the highest prime factor of 135 is 5,

Let 5 be x

the highest power of the lowest prime factor of 128 which is the power 2 is 7

Let 7 be y

According to the question x^y = 5^7

<h3>= 78,125</h3>

4 0
2 years ago
What property is shown in the equation? 5ac = 5ca
Gre4nikov [31]
This is the commutative property of multiplication because it shows that terms in a multiplication can be rearranged but it will yield the same result.
5 0
3 years ago
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