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Ymorist [56]
3 years ago
9

What is the ninth term of the geometric sequence 81, 27, 9, 3, ... ?

Mathematics
2 answers:
Dominik [7]3 years ago
8 0

Answer:

59049

Step-by-step explanation:

I calculated it and got 59049

lbvjy [14]3 years ago
5 0
I may be wrong but 1/9? i don’t think there’s anything else you can do with the sequence .. if i’m incorrect , i’m sorry
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Use the given conditions to write an equation in slope-intercept form. slope = -5, passing through (-4,2) My suggestion is to fi
Brut [27]

Answer:

<h2>y = -5x -18</h2>

Step-by-step explanation:

Plug-in values in point -slope form ;

y -y_1=m(x-x_1)\\y - 2 =-5(x-(-4))\\y-2 = -5(x+4)\\y-2 =-5x -20\\y = -5x -20+2\\y = -5x -18

3 0
4 years ago
You are certain to get a heart, diamond, club, or spade when selecting cards from a shuffled deck. Express the indicated degree
kondaur [170]

Answer:

The probability of this event is represented by a value of 1.

Step-by-step explanation:

Probability of a certain event:

The probability of an event that is considered to be certain, that is, guaranteed to happen, is 100% = 1.

You are certain to get a heart, diamond, club, or spade when selecting cards from a shuffled deck.

This means that the probability of this event is represented by a value of 1.

4 0
3 years ago
A pair of sunglasses cost $26 during the summer sale. If
Marta_Voda [28]

Answer:2.18$

Step-by-step explanation: 26 + 7% tax is 27.82 so 30 - 27.82 = 2.18$

7 0
3 years ago
A 2005 survey found that 7% of teenagers (ages 13 to 17) suffer from an extreme fear of spiders (arachnophobia). At a summer cam
bagirrra123 [75]

Answer:

Probability that at least one of them suffers from arachnophobia is 0.5160.

Step-by-step explanation:

We are given that a 2005 survey found that 7% of teenagers (ages 13 to 17) suffer from an extreme fear of spiders (arachnophobia).

Also, At a summer camp there are 10 teenagers sleeping in each tent.

Firstly, the binomial probability is given by;

P(X=r) =\binom{n}{r}p^{r}(1-p)^{n-r} for x = 0,1,2,3,....

where, n = number of trials(teenagers) taken = 10

           r = number of successes = at least one

          p = probability of success and success in our question is % of

                the teenagers suffering from arachnophobia, i.e. 7%.

Let X = Number of teenagers suffering from arachnophobia

So, X ~ Binom(n= 10,p=0.07)

So, probability that at least one of them suffers from arachnophobia

= P(X >= 1) = 1 - probability that none of them suffers from arachnophobia

= 1 - P(X = 0) = 1 - \binom{10}{0}0.07^{0}(1-0.07)^{10-0}

                       = 1 - (1 * 1 * 0.93^{10} ) = 1 - 0.484 = 0.5160 .

Therefore, Probability that at least one of them suffers from arachnophobia is 0.5160 .

3 0
3 years ago
Simplify the following expression -5[(x^3+1)(x+4)]
katrin [286]

Answer:

B

Step-by-step explanation:

-5[ (x³+1)(x+4) ] = -5[ x³*(x+4) + 1*(x+4) ]

      = -5 [ x³*x + x³*4 + 1*x + 1*4 ]

      = -5 [ x⁴ + 4x³ + x + 4]

      = -5*x⁴ + (-5)*4x³ + (-5)*x + (-5) * 4

      = -5x⁴ - 20x³ - 5x - 20

4 0
3 years ago
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