4. Solve
On the positive answer makes sense.
Answer: Month 40
5. The throw ends when the height is zero (I guess we're ignoring rolling).
Only the negative sign for the plus/minus will give a sensible, positive answer:
Answer: 55.4 feet
10x= 23.333333333333
10x-x=9x=21
x=21\9=7/3
Answer:
So it would takes approximately 6.9 hours to reach 32 F.
Step-by-step explanation:
For this case we have the following differential equationÑ
We can reorder the expression like this:
We can use the substitution and so then we have:
IF we integrate both sides we got:
If we apply exponential in both sides we got:
And if we replace w = u-T we got:
We can also express the solution in the following terms:
For this case we know that since w ehave a cooloing, , we have this model:
And if we want that the temperature would be 32F we can solve for t like this:
If we apply natural logs on both sides we got:
So it would takes approximately 6.9 hours to reach 32 F.
Angle at Y = 180-135 = 45, because it divides the straight line XY in two pieces that together should always be 180
Angle at Z = 49, because the angle on the other side of Z is mirrored.
Angle YXZ = 180 - 49 - 45 = 86 because all three angles of a triangle should add up to 180