At the beginning of an environmental study a forest cover an area of 1500 km second power since then this area has decreased by 9.8% each year let t be the number of years since the start of the study letter y b the area that the forest covers in km to the second power write an exponential function showing the relationship between y& t

Step-by-step explanation:

Let T be the number of years since the start of the study and y be the area that the forest covers in .

We have been given that at the beginning of an environmental study a forest cover an area of 1500 . Since then this area has decreased by 9.8% each year.

We know that an exponential function is in form , where,

y = Final amount,

a = Initial amount,

r = Decay rate in decimal form,

x = Time.

Let us convert 9.8% into decimal as:

We have been given that initial value (a) is .

Upon substituting our given values, we will get:

Therefore, our required exponential function would be .

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

30.5*10=350$

you have to multiply the number without the decimal point then add it later but if its tenn u must move the place value of the decimal point 1 to the right.