Q(t)=q(0)e^pt
the above model describes the exponential decay of chemical element. t is the time in years, q(0) is the initial amount of the chemical element, q(t) is the amount of chemical element after t years and p is a constant. it is known that every 1600 years the amount of the chemical element drops to half ( its half-life is 1600 years). if the term e^p in the above equation can be replaced by the term x^y, where both x, y rational numbers, what is x and y?

(a) x=sqrt{frac{1}{2}}, y=frac{1}{1600}

(b) x=frac{1}{2}, y=frac{1600}{3}

not sure this is a hard one...

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

explanation:

infrared radiation has wavelength in the range between 700 nm and 1 mm. lets' convert these values into scientific notation, keeping in mind that:

let's start from the lower value, we have:

(we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

the higher value is:

so, the range of wavelength of infrared radiation is: