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.
3 km is equal to 300000 centimeters0
Answer:
Null Hypothesis [H0] : t = 8.3
Alternate Hypothesis [H1] : t < 8.3
Step-by-step explanation:
Hypothesis testing is used to test the statistical significance of a mathematical proposition.
Null Hypothesis is the neutral hypothesis, stating equality to assumed value. Alternate Hypothesis is the contradictory hypothesis, stating deviation from the assumed value.
For hypothesis formation of given case:-
Let average time taken by women with female companion = t
Null Hypothesis [H0] : t = 8.3
Alternate Hypothesis [H1] : t < 8.3
Answer: his overall GPA will be 2.93, which means he doesn't pass out with a 3.0 GPA
Step-by-step explanation:
GPA = 2.78
total credit hour = 105
Total credit unit = 105 x 2.78 = 291.9
If he takes a 15 credit hour and gets a perfect 4.0 GPA,
his total credit unit = 15 x 4 = 60
Final GPA = (291.9 + 60)/(105 + 15)
= 351.9/120 = 2.93
Answer:
It would be true
Step-by-step explanation:
3x-7=14, add 7 both sides, 3x=21, x=7, therefore it's true. Hope this helps!