Hi my dear friend,
The statement that explain how ATP and its phosphate groups are related to energy used in plant process is that ADP gains a phosphate to create ATP, which stores energy for making sugars. These packets of energy in the form of ATP are then broken down to release energy and use that energy in synthesis of glucose.
~Thank you
Answer:
f(x) = 6x²-3
f(x) = 0
6x²-3 = 0
6x² = 3
x² = 3/6
x² = 1/2
x = 1/√2 , -1/√2
Roots of f(x) = 1/√2 , -1/√2
Verification = (i) 6(1/√2)² - 3
= 6(1/2) - 3
= 3-3
= 0
(ii) 6(-1/√2)² - 3
= 6(1/2) - 3
= 3-3
= 0
To solve this problem, we need to set-up algebraic expression. First, use variables to represent the number of beads.
Let: x = number of Xavier's beads
y = number of Y<span>aozhou's beads
z = number of Zara's beads
</span>It is important to note that since we have three unknowns, we should also have three independent equations. <span>Based on the given statements, we have the following three equations:
(1) x + y = 438
(2) x + z = 204
(3) y = 3z
Substitute y in terms of z in equation (1). Then multiply equation (2) with -1.
x + 3z = 438
-(x + z = 204)
-------------------
2z = 234
z = 117
From equation (3),
y = 3(117) = 351
Using equation (1),
x = 438 - 351 = 87
Thus, Xavier had 87 beads.</span>
Answer:
The mole fraction of ethanol and water in the solution are 0.19 and 0.81 respectively.
Explanation:
The Molar Fraction is a way of measuring the concentration that expresses the proportion in which a substance is found with respect to the total moles of the solution, which are calculated by adding the moles of solute (s) and solvent.
It is calculated by dividing the number of moles of one of the components by the total number of moles of the solution.
The sum of all the molar fractions of the substances present in a solution is equal to 1.
So, the expression to calculate the mole fraction is:

Being the molar mass of the compounds:
- Ethanol 46
- Water 18

the number of moles that represent the mass quantities is calculated as:
- Moles of ethanol: 300 grams*
= 6.52 moles
- Moles of water: 500 grams*
= 27.78 moles
So the total moles in solution are 6.52 moles + 27.78 moles = 34.3 moles
The mole fraction of ethanol in the solution is calculated as:


The mole fraction of water in the solution is calculated as:


Then:


<u><em>The mole fraction of ethanol and water in the solution are 0.19 and 0.81 respectively.</em></u>
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