Answer:
The value of 
is 
.
Step-by-step explanation:
We know that the position function is given by
Velocity is defined as the rate of change of position. Therefore,
So, the velocity function is
When a body reaches a vertical velocity of zero, this is the maximum height of the body and then gravity will take over and accelerate the object downward. Thus,
We know that the ball bearing reaches its maximum height 21 seconds after being launched (t = 21 s).
So, the value of is .
Answer:
1899
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 3234
Standard deviation = 871
Percentage of newborns who weighed between 1492 grams and 4976 grams:
1492 = 3234 - 2*871
So 1492 is two standard deviations below the mean.
4976 = 3234 + 2*871
So 4976 is two standard deviations above the mean.
By the Empirical Rule, 95% of newborns weighed between 1492 grams and 4976 grams.
Out of 1999:
0.95*1999 = 1899
So the answer is 1899
To find net income, find the money mr. hall gained, and subtract how much he loss
Gains:
$15,000 $1346
$258 $1598
$2562 $48
total: $17,280
Losses:
$1346
$1598
$48
total: $2992
17,280 - 2992=
$14,288 net income
Answer:
Step-by-step explanation:
Suppose that at time 
we have x mold cells. We are told that after 12 minutes the amount present is double. That is a 
we have 2x cells. Then, at 
we have (2x)*2 = 4x. We can continue as follows
we have (4x)*2 = 8x.
we have (8x)*2 = 16x
(one hour later) we have (16x)*2 = 32x.
So after one hour from now we have 32x cells.
