Answer:
- <u>0.5 s</u> (using 1 significan figure since the initial velocity is given with 1 significant figure)
Explanation:
Let's see what each term in the function v (t) = - 9.8t + 5 means:
The variable t is the time
The coffecient - 9.8 (which is negative) means that the velocity is reduced 9.8 m/s each second.
That means that the motion is uniformly decelerated with acceleration - 9.8 m/s².
The term + 5, means that the object was launched with an upward velocity of 5 m/s.
Hence the equation tells that after the object was launched upward it starts to lose speed and will reach a maximum height when the velocity is equal to zero, from which it starts falling.
So, you can calculate when the object reachs it maximum height and starts falling by making the velocity, v (t), equal to zero and solving for t. This is how you do it:
- v (t) = 0
- 0 = - 9.8t + 5
- 9.8t = 5 remember that the units of 9.8 is m/s² and of 5 is m/s
- t = 5 m/s / 9.8 m/s² = 0.51 s
So, the object starts fallin at 0.51 s. Since, the velocity is reported with 1 significant digit you answer should also show 1 significant digit, which means t = 0.5 s.
Selling price = cost + 0.42*cost = 1.42*cost
cost = selling price/1.42
cost = $9182/1.42 ≈ $6466.20
Answer:
The probability of observing a sample mean of 31.1 grams of fat per pound or less in a random sample of 34 farm-raised trout is 0.227
Step-by-step explanation:
Let X be the sample mean of fat in 34 farm-raised trout
The probability of observing a sample mean of 31.1 grams of fat per pound or less in a random sample of 34 farm-raised trout can be stated as:
P(X<31.1 grams) = P(z<z*)
where z* is the z-statistic of sample mean of 31.1 grams fat.
z* can be calculated as follows:
z*= where
- M is the average grams of fat per pound (32)
- s is the standard deviation (7)
- N is the sample size (34)
Then z*= ≈ −0.7497
and P(z<z*) ≈ 0.227
The probability of observing a sample mean of 31.1 grams of fat per pound or less in a random sample of 34 farm-raised trout is 0.227
To solve this, we must isolate x (have it by itself).
4/5x = 56
Multiply each side by 5x.
4/5x(5x) = 56(5x)
Divide each side by 280.
4/280 = 280x/280
Solve.
0.014 = x
0.014 can also be written as 1/70
:)
I’m pretty sure the answer is 32 degrees still