In thermodynamics, specific volume is considered to be an
intrinsic property of matter. What we meant by intrinsic property is that, the
value of this property does not change no matter the size of the sample. This
is opposite to weight or volume which changes depending on the size of the
sample.
By mathematical definition, specific volume is the ratio of
the substance’s volume to its mass. Or in other words, this is the reciprocal
of density.
The formula for density is:
density = mass / volume
Since specific volume is reciprocal so:
Specific volume = 1 / density = volume / mass
Calculating:
Specific volume = 100 ft^3 / 5 pounds
Specific volume = 20 ft^3 / pound
Or when asked in units of m^3 / kg, we convert:
Specific volume = (20 ft^3 / pound) (2.2 pound / kg) (1 m^3
/ 35.3147 ft^3)
Specific volume = 1.246 m^3 / kg
Answer:
1. b ∈ B 2. ∀ a ∈ N; 2a ∈ Z 3. N ⊂ Z ⊂ Q ⊂ R 4. J ≤ J⁻¹ : J ∈ Z⁻
Step-by-step explanation:
1. Let b be the number and B be the set, so mathematically, it is written as
b ∈ B.
2. Let a be an element of natural number N and 2a be an even number. Since 2a is in the set of integers Z, we write
∀ a ∈ N; 2a ∈ Z
3. Let N represent the set of natural numbers, Z represent the set of integers, Q represent the set of rational numbers, and R represent the set of rational numbers.
Since each set is a subset of the latter set, we write
N ⊂ Z ⊂ Q ⊂ R .
4. Let J be the negative integer which is an element if negative integers. Let the set of negative integers be represented by Z⁻. Since J is less than or equal to its inverse, we write
J ≤ J⁻¹ : J ∈ Z⁻
Raisins has the lowest unit rate, which is 3.5x. Cranberries unit rate is 4.5 (18/4).
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Answer:
Step-by-step explanation:
total sold amount= 1200+1350=2550
profit amount on first radio= 1200-(1200/1.2)=1000
purchase amount of 1st radio= Rs. 1000
total purchased amount= (2550/1.02) = Rs. 2500
purchase amount of second radio= 2500 - 1000 = Rs. 1500
loss % on second radio= ((1500-1350)/1500 ) * 100 = 10%
1. PQR and is a right triangle, so you can calculate the measure of PQ by applying the Pythagorean Theorem. PR is the hypotenuse and QR and PQ are the legs:

2. PQS and is a right triangle too, so you can calculate the measure of PS by applying the Pythagorean Theorem as above. PS is the hypotenuse and PQ and QS are the legs:

Therefore, the answer is: The value of PS is 13.