$n-a\ number\\\\(8+2n)\cdot3=3n+9\\\\8\cdot3+2n\cdot3=3n+9\\\\24+6n=3n+9\ \ \ \ /-24\\\\24-24+6n=3n+9-24\\\\6n=3n-15\ \ \ \ /-3n\\\\6n-3n=3n-3n-15\\\\3n=-15\ \ \ \ /:3\\\\3n:3=-15:3\\\\n=-5$

8 0

3 years ago

Y is directly proportional to the square of x.

RUDIKE [14]

Answer:

The value of y is 847 for x=11

Step-by-step explanation:

It is given that y is directly proportional to the square of x

This can be written mathematically as:

$y \propto x^2$

Removing the proportionality symbol introduces a proportionality constant in the equation which is denoted by k

$y = kx^2$

Given that "When x is 5, y is 175"

$175 = k (5)^2\\175 = k*25\\k = \frac{175}{25}\\k = 7$

Putting the value of k

$y = 7x^2$

Now putting x = 11

$y = 7(11)^2\\y = 7 * 121\\y = 847$

Hence,

The value of y is 847 for x=11

5 0

3 years ago

Pls pls i need help with this

Scrat [10]

Answer:

5+8=13

5/13

Lisa's fraction is 5/13

6 0

3 years ago

The length of a social media interaction is normally distributed with a mean of 3 minutes and a standard deviation of .4 minutes

Kazeer [188]

The probability that an interaction lasts longer than 4 minutes is 0.0062.

<h3>What is probability theory?</h3>

probability theory in mathematics focus on the analysis of random phenomena and this theory let us know that the outcome of a random event cannot be determined before it occurs.

z = (4 - 3)/.4

z = 1/.4

z = 2.5

0.0062

Hence The probability that an interaction lasts longer than 4 minutes is 0.0062.