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1 year ago

Solve: 3 = 27^2x+1 please solve quickly! thank you!

Mathematics

1 answer:

kap26 [50]1 year ago

8 0

Answer: I believe this will be your answer for this.

x = $2/729$ so basically this is your solution of x equaling to 2 over 729.

(hope this helps!)

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Sydney placed 10 guppies in a fish tank she recorded the number of guppies in the tank

pav-90 [236]

Answer:

$g(n) = 10 * 3^{n}$

Step-by-step explanation:

Given

See attachment for table

Required

Determine the explicit formula for the table

First, we need to check if the guppies increases at arithmetic progression or geometry progression.

For arithmetic progression:

We calculate the common difference (d)

$d = g(n) - g(n-1)$

Take n as 1

$d = g(1) - g(1-1)$

$d = g(1) - g(0)$

From the table:

$g(1) = 30\ \&\ g(0) = 10$

$d = 30 - 10$

$d = 20$

Take n as 2

$d = g(2) - g(1)$

From the table:

$g(1) = 30\ \&\ g(2) = 90$

$d = 90 - 30$

$d = 60$

The two differences are not equal. So, this

For geometry progression:

We calculate the common ratio (r)

$r = \frac{g(n)}{g(n-1)}$

Take n as 1

$r = \frac{g(1)}{g(1-1)}$

$r = \frac{g(1)}{g(0)}$

From the table:

$g(1) = 30\ \&\ g(0) = 10$

$r = \frac{30}{10}$

$r = 3$

Take n as 2

$r = \frac{g(2)}{g(1)}$

From the table:

$g(1) = 30\ \&\ g(2) = 90$

$r = \frac{90}{30}$

$r = 3$

The two ratios are equal.

So, the next step is to calculate the explicit formula using n term of a geometric progression.

Because the progression starts from 0, we make use of the following formula

$g(n) = g(0) * r^{n}$

Substitute values for g(0) and r

$g(n) = 10 * 3^{n}$

Hence:

The explicit formula is: $g(n) = 10 * 3^{n}$

7 0

2 years ago

If 89 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would di

cricket20 [7]

Answer:

0.6836

Step-by-step explanation:

(weight - mean weight) = 48

Variance, s² = 204,304

Sample size, n = 89

We need to obtain the Zscore :

Zscore = (X - mean) / standard Error

Zscore = (weight - mean weight ) / (s/√n)

s = √204304 = 452

The difference from the meanncoukdnbe either to the right or left :

Zscore = - 48 / (452/√89) OR 48 / (452/√89)

Zscore = - 48 / 47.911904 OR - 48 / 47.911904

Zscore = - 1.002 or 1.002

P(Z < - 1.002) = 0.1582 (using Z table)

P(Z < 1.002) = 0.8418

P(Z < 1.002) - P(Z < - 1.002)

0.8418 - 0.1582

= 0.6836

6 0

2 years ago

What is y if x=6 eqaution=y=4x+5

posledela

Y=29 ! hope this helps

8 0

2 years ago

The first four terms in a linear sequence are shown below.

Citrus2011 [14]

The seventh term is 37. It goes up 6 each time. 1, 7, 13, 19, 25, 31, 37

3 0

2 years ago

Graph the line by locating any two ordered pairs that satisfy the equation y = 1/4x+1

Tom [10]

How I would do it is place a point at 1 then go up 1 over 4 because of your slope 1/4. Same as for going down except down 1 over 4. Hope this helped:)

5 0

2 years ago