This could be rephrased as:
You start with 100 grams of a substance. One year later you have 70 grams. What is the half-life?
We need this formula:
half-life = (time * natural log (2)) / natural log (beginning amount / ending amt)
half-life = (1 year * .69315) / natural log (100 / 70)
half-life = (.69315) / 0.35667494396
half-life = 1.9433661145 years
Rounding to nearest year half-life = 2 years
Sourse: https://www.1728.org/halflif2.htm
(See problem 3)
Answer:
936mm^2
Step-by-step explanation:
Surface area of cuboid 20 mm 8mm 11mm
Surface area of the cuboid=2(20×8+8×11+11×20)
=2(160+88+×220)
=2(468)
=936mm^2
So the answer is936mm^2
I'm assuming no air friction here, first use conservation of energy to find velocity, so initially all the energy is from the spring, (1/2)kx^2, then it is converted to kinetic energy, (1/2)mv^2. so .5kx^2=.5mv^2. the .5s cancel, kx^2=mv^2. solve for v, v=sqrt(kx^2/m) plug in your values for the variables and find v. then use vf^2=vi^2+2ax in the u direction and solve for vf, vf=sqrt(vi^2+2ax). use that velocity in vf=vi+at and solve for t. vi=0 and a=g=9.81, so vf/a=t. plug in the values from the previous equation and the acceleration due to gravity to find the time it takes to hit the ground vertically. Now use v=x/t and solve for x. x=vt, plug in the velocity of the ball horizontally, which we found with the conservation of energy part, and y which we found with the previous equation, and you get your x, the distance it will take for the ball to hit the ground.
Answer:
Slope= 5
y intercept= (0,-3)
Step-by-step explanation:
If we put it into an equation, and x was blue markers, we could say:
7x + x = 32
Then you'd simplify:
8x = 32
Then solve:
8x = 32
÷ 8
x = 4.
So now we know that there are 4 blue markers, we can multiply 4 by 7 to get the amount of red markers, which is 28. Hope this helps!