The size of a certain population of wild horses varies because of certain ecological pressures. The population can be modelled using the formula, P(x)= 20cos60x+80, where P(x) is the population of horses, while x is the number of years since 2009. a) How many horses were there in 2010? b) How many horses should there be in 2025?

a. 90

b. 70

Step-by-step explanation:

What we need to do here is make substitutions for x.

We proceed as follows;

P(x) = 20cos60x + 80

x is the number of horses since 2009, so for 2010, x = 2010-2009 = 1

Substitute this;

P(x) = 20Cos60(1) + 80 = 20Cos60 + 80 = 10 + 80 = 90

Kindly recall that cos 60 = 0.5

For 2025, x = 2025 - 2009 = 16

Substitute this value;

P(x) = 20cos60(16) + 80

P(x) = 20cos960 + 80

Recall, cos960 = -0.5

P(x) = 20(-0.5) + 80

P(x) = -10 + 80

P(x) = 70

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

step-by-step explanation:

yes it represnts a functio, their are not 2 of the same numbers on the both sides