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olga2289 [7]
2 years ago
6

in two or more complete sentences identify the parent function and describe the transformations that were applied to obtain the

graph f(x)= sqrt 2x+6 +2
Mathematics
1 answer:
erastovalidia [21]2 years ago
6 0
The parent function is f(x)=√x.

This graph has been transformed by a translation left 6 units, a translation up 2 units, and a stretch by a factor of 2.

Adding a number at the end of a function results in a vertical translation.
Adding a number inside of a function, in this case under the square root, translates the graph horizontally.
Multiplying the variable by a number before another operation results in a stretch or shrink of the graph.
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A gas has weight of 5 pounds and a volume of 100 cubic feet. what's the specific volume of this gas
Leya [2.2K]

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

3 0
2 years ago
Rewrite each statement using the appropriate mathematical language 1. There exists a number b belonging to the set B 2. Even num
Shtirlitz [24]

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⁻

4 0
2 years ago
A fruit shop sells dried fruit by the pound. The cost for x pounds of raisins is represented by the equation y=3.5x, where y is
DanielleElmas [232]
Raisins has the lowest unit rate, which is 3.5x. Cranberries unit rate is 4.5 (18/4).

Please vote my answer brainliest. thanks!
5 0
2 years ago
Saurav sold two radios for Rs. 1200 and Rs. 1350 respectively. He made a profit of 20% on the first radio and 2% profit on the w
Fudgin [204]

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%

8 0
2 years ago
Given: PQ ⊥ QR , PR=20, SR=11, QS=5 Find: The value of PS.
Neporo4naja [7]

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:

PR^{2}=PQ^{2}+QR^{2}\\ PQ=\sqrt{PR^{2}-QR^{2}}\\ PQ=\sqrt{20^{2}-16^{2}} \\ PQ=12

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:

PS=\sqrt{PQ^{2}+QS^{2}}=13

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

6 0
2 years ago
Read 2 more answers
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