Answer:
(a) Amount of salt as a function of time
(b) The time at which the amount of salt in the tank reaches 50 lb is 23.5 minutes.
(c) The amount of salt when t approaches to +inf is 100 lb.
Step-by-step explanation:
The rate of change of the amount of salt can be written as
Then we can rearrange and integrate
Then we have the model of A(t) like
(b) The time at which the amount of salt reaches 50 lb is
(c) When t approaches to +infinit, the term e^(-0.02t) approaches to zero, so the amount of salt in the solution approaches to 100 lb.
Answer:
C. 52°
Step-by-step explanation:
Because YWZ and VWZ are complete each other to 90° we can say VWZ is 52°.
If 3/10 cup is 2/5 full, then the bowl holds:
(3/10) / (2/5)
(3/10)/(2/5) = 3/10 * 5/2 = 15/20 = 3/4
The bowl holds 3/4 of a cup
Answer:
Step-by-step explanation:
Hello!
The mean is a measurement of central tendency that shows what is the most expected value of the variable. The standard deviation is a measurement of variability, it shows you how distant or dispersed are the values of a certain population or sample in regards to the value of the mean.
In this example the variable is X: score obtained on a math test.
It's mean is μ= 52 and its standard deviation is σ= 10
To know how many standard deviations away is a value of X concerning the mean you have to first subtract the mean to the value of X, X - μ, and then you have to divide it by σ:
(X - μ)/ σ
If X=76
(76 - 52)/ 10= 2.4
The score obtained by Andrea is 2.4σ away from the mean.
I hope it helps!
Answer:
$52.00
Step-by-step explanation:
if he makes 13.00 per hour, for four hours, you just times 13 by 4 to get 52.
