Scientists are examining two different strains of a particular bacteria. The length of one strain of the bacteria measures 0.000000143 mm, while the length of the second strain measures 0.0000000937 mm. How much larger is the first strain than the second?

1.53 times

Step-by-step explanation:

Scientists are examining two different strains of a particular bacteria. The length of one strain of the bacteria measures 0.000000143 mm, while the length of the second strain measures 0.0000000937 mm. How much larger is the first strain than the second?

We would have:

First strain : Second strain

0.000000143 mm : 0.0000000937 mm

How much larger is the first strain than the second?

We divide both by the length of the second strain

0.000000143/0.0000000937 : 0.0000000937 / 0.0000000937

1.52614727855 times

Approximately = 1.53 times

30 people weigh 160 pounds or more

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: