An element with mass 290 grams decays by 13.2% per minute. how much of the
element is remaining after 14 minutes, to the nearest 10th of a gram?

40.0 grams

Step-by-step explanation:

An exponential decay function is

          .... (1)

where, a is initial value, t is time and r is decay rate.

It is given that element with mass 290 grams decays by 13.2% per minute.

Initial value = 290

Decay rate = 13.2% = 0.132

Substitute a=290 and r=0.132 in equation (1).

Substitute t=14 to find the amount of element remaining after 14 minutes.

Round the solution to the nearest tenth.

Therefore, element with mass 40.0 grams is remaining after 14 minutes.

24

step-by-step explanation:

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)