Answer:
a. C(F) = (5/9).F - (160/9)
b. They both readings are equal at C = F = - 40
Explanation:
They are telling us that we are looking for a linear function
If C(F) = a.F + b is the linear function, we use the data to find a and b
C(32) = a.32 + b
0 = a.32 + b
b = - (a.32) (1)
And then
C(212) = a.212 + b
100 = a.212 + b (2)
replacing (1) in (2) we obtain
100 = a.212 + [-(a.32)]
100 = a.212 - a.32
100 = 180.a
a = 100/180
a = 5/9
If a = 5/9 then b = -(a.32)
b = - (5/9).32
b = - (160/9) and the linear function is
C(F) = (5/9).F - (160/9)
For b. they are asking us for a X reading. We must equalize C and F
X = (5/9).X - (160/9)
(4/9).X = - (160/9)
X = -40
C = F at temperature X = - 40
Saturated fatty acid, i think
Answer:
time require is 23.33 hours
Explanation:
given data
time t1 = 7 hours
time t2 = 10 hours
to find out
how long it take to fill vat if both pipe left open
solution
we consider here vat volume is v
so speed = volume / time .................1
inlet speed = v / 7 .................2
outlet speed = v / 10 ..................3
so from equation 2 and 3
net speed is = v / 7 - v / 10
net speed = 3
/70 × v
so here time is
time = v / net speed
time =
time = 70 / 3 = 23.33
so time require is 23.33 hours
Answer: Volume of a gas is inversely proportional to pressure of that gas in any container.
Explanation:
Hi, according to Boyle's Gas law, the volume of a gas is inversely proportional to the pressure of that gas, at a constant temperature.
The expression is:
P1.V1= P2.V2
V= 1/P
PV = k
Where:
P = pressure of a gas
V = volume of a gas
k = constant
Feel free to ask for more if needed or if you did not understand something.
Answer: Option C) 11.25 A
Explanation:
Given that:
Voltage V = 90 volts
total current I = ?
Three resistors each with 40 Ω, 30 Ω, and 15 Ω in parallel, the equivalent resistance of the combination (Rtotal) of the circuit is as follows:
i.e 1/Rtotal = (1/R1 + 1/R2 + 1/R3)
1/Rtotal = (1/40Ω + 1/30Ω + 1/15Ω)
1/Rtotal = (3 + 4 + 8)/120Ω
1/Rtotal = 15/120Ω
1/Rtotal = 1/8Ω
To get the value of Rtotal, cross multiply
Rtotal x 1 = 8Ω x 1
Rtotal = 8Ω
Then, apply the formula V = I x Rtotal
90 volts = I x 8Ω
I = 90 volts / 8Ω
I = 11.25 Amperes
Thus, the total current used by the three lamps is 11.25 Amperes