√5 = 5^(1/2)

Multiplying two number with the same base has as result a number with the same base and the sum of the exponents so:

1/2 + 3 = 7/2
which means
5^3 x 5^(1/2) = 5^(7/2)

5 0

2 years ago

The prevalence of cigarette smoking in the united states is in decline if the percentage of smokers in 2014 was 16.7% and the pe

astraxan [27]

The linear formula for the sequence whose terms represent the percentage of americans who smoke n years after 2014 is:

$a(n) = -5.6n + 16.7$

<h3>What is a linear function?</h3>

A linear function is modeled by:

$y = mx + b$

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and for a time-dependent function, can also be interpreted as the initial value.

In this problem:

The percentage of smokers in 2014 was 16.7%, hence the initial value is $b = 16.7$

The percentage is decreasing by 5.6% each year, hence the slope is $m = -5.6$ .

Then, the <em>equation </em>is:

$y = mx + b$

$a(n) = -5.6n + 16.7$

You can learn more about linear functions at brainly.com/question/24808124

7 0

2 years ago

A rhombus with right angles

Ghella [55]

Answer:

A rhombus is quadrilateral with all side of equal length. Thus a quadrilateral with all sides of equal length and all angles right angles is still a rhombus but it is also a square. It is also a quadrilateral, a rectangle and a parallelogram.

Step-by-step explanation:

I hope this helped! have a great day! :)

7 0

3 years ago