575,000,000
write the number in scientific notation

Step-by-step explanation: To write a number in scientific notation, first write a decimal point in the number so that there is only one digit to the left of the decimal point.

So here, we have 5.75000000 and notice that there

is only one digit to the left of the decimal point.

Next, we count the number of places the decimal point would

need to move to get back to the original number, 575,000,000.

Since we would need to move the decimal point 8 places to the right,

we have an exponent of positive 8.

Now, scientific notation is always expressed as a number between 1 and 10 including 1 but not 10 and it is multiplied by 10 to a certain power that must be an integer.

So we have .

Notice that the exponent is positive.

This is because we would need to move the decimal point to the right in order to get back to the original number.

So 575,000,000 can be written in scientific notation

as or just .

Remember that we can drop zeroes at the end of a decimal.

So we have .

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50