Sinxtanx=secx-cosx Please help me solve it

Answers

Answer 1

Answer: $sinx.tanx=secx-cosx\n \n sinx.(sinx)/(cosx)=(1)/(cosx)-cosx\n \n (sin^2x)/(cosx)=(1-cos^2x)/(cosx)\n \n (sin^2x)/(cosx)=(sin^2x)/(cosx)$

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SO CONFUSED PLEASE HELPWhich situations can be represented by an exponential function? Select each correct answer.

On the highway, Kareem's car gets 38 mpg.

Shu Fang has $25.75 deducted from her checking account every month.

A toad population is increasing by about 7.5% each year.

An event organizer finds each year's attendance for the past five years is about 4/5 of the previous year's attendance.

Answers

Answer: A toad population is increasing by about 7.5% each year.

An event organizer finds each year's attendance for the past five years is about 4/5 of the previous year's attendance.

Step-by-step explanation:

On the highway, Kareem's car gets 38 mpg.

This can be modeled with a linear relationship between the miles and the gallons of fuel needed.

Shu Fang has $25.75 deducted from her checking account every month.

Here we know that each month a constant amount is deducted from her, this is not an exponential relation.

A toad population is increasing by about 7.5% each year.

If the population initially was an amount P, after one year the population is P*1.075, after two years the population is P*(1.075)^2 and so on, this can be modeled with an exponential function where the years variable, the function will have the general form:

Population(y) = P*(1.075)^y

An event organizer finds each year's attendance for the past five years is about 4/5 of the previous year's attendance.

If the first year the population is X, the year after the attendance will be (4/5)X, and the year after this process applies again, so you have a 4/5 of the previous attendance, the attendance now is (4/5)^2*X

This also can be modeled with an exponential function, of the shape:

Attendance (y) = X*(4/5)^y, where again, y means years.

The thing you may notice is that in this case the model only works for the lapse of 5 years that the event organizer said.

Shu Fang has $25.75 deducted from her checking account every month.

In the step by step simplification of expression below which property is not used? 3(1+x)
3(x+1)
3(x)+3(1)
3x +3

A) associative B) commutative C) distributive D) identity