Answer: It would be 4b+44
Step-by-step explanation:
This is the distributive property! so a(b+c)=ab+ac
In this case–4b+44!
Area of triangles:
0.5x9=4.5
4.5x2=9 (i divided 4 (the amount of triangles) by 2 instead of dividing 4.5 by 2)
area of square:
0.5x0.5=0.25
surface area of whole thing:
9+0.25=9.25
so the answer is 9.25
hope this helps :)
Answer:
Step-by-step explanation:
You didn't give any options so:
j+j+2k=
<em>Combine like terms</em>
2j+2k
Answer:
The probability that a student arriving at the ATM will have to wait is 67%.
Step-by-step explanation:
This can be solved using the queueing theory models.
We have a mean rate of arrival of:
We have a service rate of:
The probability that a student arriving at the ATM will have to wait is equal to 1 minus the probability of having 0 students in the ATM (idle ATM).
Then, the probability that a student arriving at the ATM will have to wait is equal to the utilization rate of the ATM.
The last can be calculated as:
Then, the probability that a student arriving at the ATM will have to wait is 67%.
Answer: approximately 5.1818 pounds per square inch (psi)
========================================================
Work Shown:
P = pressure
T = temperature
The pressure is directly proportional to the temperature, which means P = k*T where k is some constant. As T goes up, P goes up as well, and vice versa. If P goes down, then T goes down too (or vice versa). In short, P and T go up together or go down together.
We're told that 6 psi (pounds per square inch) correspond to a temperature of 440 degrees F. This means P = 6 and T = 440 pair up. Let's use this P and T pairing to find k.
P = k*T
6 = k*440
6/440 = k
k = 6/440
k = 3/220
Therefore, the equation
P = k*T
updates to
P = (3/220)*T
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The last step is to plug in T = 380 to figure out the paired value of P
P = (3/220)*T
P = (3/220)*380
P = 5.1818 approximately
