Let f ( t ) be the weight (in grams) of a solid sitting in a beaker of water. suppose that the solid dissolves in such a way that the rate of change (in grams/minute) of the weight of the solid at any time t can be determined from the weight using the forumula f'(t)=-4f(t)(1+f(t))
if there is 5 grams of solid at time t=2 estimate the amount of solid 1 second later.

3 grams

Step-by-step explanation:

first of all

the weight in grams has been given to be f (t)

since there are 5 grams of solid in the beaker

then;

but at a time t = 2

(t represents time)

the expression for the rate of change (in grams/minute)

subtituting the value of f(t) into the expression above

we already showed that f (2) = 5, substituting this into the rate of change expression

converting this into second, we will need to divide by 60 second

the weight is decreasing 2 g/s at a time 2 ( the minus sign shows decrease)

the amount of solid 1 second later will be

the amount of solid in the beaker subtract the amount of solid that dissolved

5 - 2 = 3 grams

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.