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Norma-Jean [14]
4 years ago
13

What is the fourth term of the sequence a1=m an= 2an-1

Mathematics
1 answer:
kompoz [17]4 years ago
6 0

Answer:

  8m

Step-by-step explanation:

We assume you're describing a geometric sequence with first term m and common ratio 2. Then the n-th term is ...

  a[n] = m·2^(n-1)

and the fourth term is

  a[4] = m·2^(4-1) = 8m

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What are the coordinates of the x-intercept(s) of the graph of y=(x-6)(x+5)
MissTica

Answer:

(-5 , 0) and (6 , 0)

Step-by-step explanation:

In order to get the coordinates of the x-intercept(s) of the graph of y=(x-6)(x+5)

we need to solve for x the equation (x-6)(x+5) = 0

(x-6)(x+5) = 0

⇌

x - 6 = 0  or  x + 5 = 0

⇌

x = 6  or  x = -5

therefore

the coordinates are :

(-5 , 0) and (6 , 0)

__________________________

:)

3 0
3 years ago
Larry the librarian and Courtney the lawyer are having a debate. Larry contends that the library is bigger than the courthouse i
professor190 [17]

Answer:

Library's Area= 5200

Courthouse' Area= 5027

<u>Larry</u> is correct.

Step-by-step explanation:

5 0
3 years ago
The random variable X~(30,2^2) <br> Find p(X&lt;33) <br> Find p(X&gt;26)
Ostrovityanka [42]

Answer:

i) P(X<33)  = 0.9232

ii) P(X>26) = 0.001

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the mean of the Population = 30

Given that the standard deviation of the Population = 4

Let 'X' be the Normal distribution

<u>Step(ii):-</u>

i)

Given that the random variable  X = 33

               Z = \frac{x-mean}{S.D}

               Z = \frac{33-30}{2} = 1.5 >0

P(X<33) = P( Z<1.5)

              = 1- P(Z>1.5)

             = 1 - ( 0.5 - A(1.5))

             = 0.5 + 0.4232

  P(X<33)  = 0.9232

<u>Step(iii) :-</u>

Given that the random variable  X = 26

               Z = \frac{x-mean}{S.D}

               Z = \frac{33-26}{2} = 3.5 >0

P(X>26)  = P( Z>3.5)

              = 0.5 - A(3.5)

              = 0.5 - 0.4990

             = 0.001

P(X>26) = 0.001

5 0
3 years ago
Twice as number decreased by 9 is 7
marissa [1.9K]
You said that. 2x - 9 = 7 . . . . . Add. 9. to each side: 2x = 16 . . . . . Divide each side by 2 : x = 8
8 0
3 years ago
If 4.5 pounds of cherries cost $10, what is the unit price per pound
djverab [1.8K]
Simply divide $10 by 4.5 to get the answer $2.22 per pound (actually the 2's keep repeating.  
I guess the store might charge $2.23 since some will round any overage to the next penny.
3 0
3 years ago
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