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3 years ago

Write the first five terms of each of the following recursively defined sequences:

Mathematics

1 answer:

ankoles [38]3 years ago

3 0

Answer:

See below in bold.

Step-by-step explanation:

a1 = x

a2 = 2(a1)^2 = 2x^2

a3 = 2(a2)^2 = 2(2x^2)2 = 2(4x^4) = 8x^4

a4 = 2(a3)^2 = 2(8x^4)^2 = 128x^8

a5 = 2(a4)^2 = 2(128x^8)^2 = 32768x^16.

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Simplify 16k/7k a) k+23 b) 9k c) 23k d) 23k^2

alexira [117]

Answer:

16/7

Step-by-step explanation:

16k / 7k

Divide the numbers

16/7

Divide the variables

k/k = 1

16/7

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3 years ago

Someone who is a true hero plz answer this for me I need help

nevsk [136]

Answer:

4√2 or 5.66 to the nearest hundredth.

Step-by-step explanation:

Applying the Pythagoras Theorem:_

c^2 = a^2 + b^2

c^2 = 4^2 + 4^2

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3 years ago

(x3+3x2-12x-18)÷(x-3)

kvv77 [185]

Answer:

-3(3+4x)

Step-by-step explanation:

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3 years ago

A researcher wanted to see if giving a selective serotonin reuptake inhibitor (anti-depressant) would decrease the number of sel

Delvig [45]

Answer:

a. The mean of the sample is M=35.

The variance of the sample is s^2=39.125.

The standard deviation of the sample is s=6.255.

b. z=-1.6

c. SEM = 2.212

Step-by-step explanation:

The mean of the sample is M=35.

The variance of the sample is s^2=39.125.

The standard deviation of the sample is s=6.255.

Sample mean

$M=\dfrac{1}{8}\sum_{i=1}^{8}(27+25+32+40+43+37+35+38)\\\\\\ M=\dfrac{277}{8}=35$

Sample variance and standard deviation

$s^2=\dfrac{1}{(n-1)}\sum_{i=1}^{8}(x_i-M)^2\\\\\\s^2=\dfrac{1}{7}\cdot [(27-(35))^2+(25-(35))^2+(32-(35))^2+(40-(35))^2+(43-(35))^2+(37-(35))^2+(35-(35))^2+(38-(35))^2]\\\\\\$

$s^2=\dfrac{1}{7}\cdot [(58.141)+(92.641)+(6.891)+(28.891)+(70.141)+(5.64)+(0.14)+(11.39)]\\\\\ s^2=\dfrac{273.875}{7}=39.125\\\\\\s=\sqrt{39.125}=6.255$