Answer:
18 + √3
Step-by-step explanation:
The product of a surd and its conjugate gives a rational number. Hence;
(18 - √3) (18 + √3)
=324 + 18√3 - 18√3 - 3
=321
A rational number does not contain any surd, hence the answer.
Answer:
-23/24
Step-by-step explanation:
get common denominator =24
-8/24 + -15/24
-8 + -15 = -23
keep bottom
-23/24
Answer:
2 miles in 8 minutes
4 miles in 16 minutes
8 miles in 32 minutes
16 miles in 64 minutes
Step-by-step explanation:
Answer:
Train A is 287 tons
Train B is 94 tons
Step-by-step explanation:
My method of solving it may have been a bit different from how you were taught. I divided 381 by 2 to give both trains an equal weight of 190.5 tons. I then divided the difference, 193, by 2 to get 96.5 tons. I subtracted the new difference from the weight of Train B and added it to train A. To double check, you can grab a calculator and see that their weights are equal to 381.
Answer:
P_he = 562.5 mmHg
P_ne = 1068.75 mmHg
P_ar = 618.75 mmHg
Step-by-step explanation:
Formula for partial pressure is;
Partial pressure = mole fraction × total pressure
Mole fraction of Helium(He); x_he= 1/(1 + 1.9 + 1.1) = 1/4 = 0.25
Mole fraction of Neon(Ne); x_ne = 1.9/(1 + 1.9 + 1.1) = 1.9/4 = 0.475
Mole fraction of argon; x_ar = 1.1/(1 + 1.9 + 1.1) = 1.1/4 = 0.275
Thus;
Partial pressure of He;
P_he = 0.25 × 2250
P_he = 562.5 mmHg
Partial pressure of Ne;
P_ne = 0.475 × 2250
P_ne = 1068.75 mmHg
Partial pressure of Ar;
P_ar = 0.275 × 2250
P_ar = 618.75 mmHg
