Which expression is equivalent to (StartFraction x Superscript negative 4 Baseline y Over x Superscript negative 9 Baseline y Superscript 5 Baseline EndFraction) Superscript negative 2? Assume x not-equals 0, y not-equals 0. StartFraction y Superscript 8 Baseline Over x Superscript 10 Baseline EndFraction
StartFraction x Superscript 5 Baseline Over y Superscript 7 Baseline EndFraction
StartFraction x Superscript 5 Baseline Over y Superscript 4 Baseline EndFraction
StartFraction x Over y Superscript 7 Baseline EndFraction

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.