Answer:
He now makes 16.50 per hour
Step-by-step explanation:
15.00 x .10 = 1.50
15.00 + 1.50 = 16.50
Answer:
Step-by-step explanation:
Solubility can be defined as the ability of a solute (could be solid, liquid or gas) to dissolve in a solvent in order to produce a solution. There are several factors affecting solubility which includes (basically four) temperature, polarity, surface area of solute particles and pressure of gases. Generally, an increase in temperature leads to an increase in the solubility of a solute in a solvent. This is because an increase in temperature will increase the average kinetic energy of molecules in the solution which leads to increase interaction between the solute and solvent particles. There is a general saying of "like dissolve like" when discussing polarity. For example, organic solvents are used to dissolve organic solutes (just as petrol is used to wash grease off hands and surfaces). Hence, when the solute and solvent have the same polarity, solubility occurs easily, otherwise solubility may be difficult or may not even occur. A reduced/smaller surface area of the solute leads to an increase in solubility as this makes it easy for the solute particles to interact easily with the solvent. In gases, an increase in pressure increases the interaction between the gaseous molecules of the solute and the solvent, thus leading to an increased solubility. Pressure does not affect solubility in solids and rarely in liquids.
The two numbers are 30 and 11
<em><u>Solution:</u></em>
Given that we have to separate the number 41 into two parts
Let the second number be "x"
<em><u>Given that first number is eight more than twice the second number</u></em>
first number = eight more than twice the second number
first number = 8 + twice the "x"
first number = 8 + 2x
So we can say first number added with second number ends up in 41
first number + second number = 41
8 + 2x + x = 41
8 + 3x = 41
3x = 41 - 8
3x = 33
x = 11
first number = 8 + 2x = 8 + 2(11) = 8 + 22 = 30
Thus the two numbers are 30 and 11
Answer:
![a) f(x)=3x^{3}-6x^{2}-15x+30](https://tex.z-dn.net/?f=a%29%20f%28x%29%3D3x%5E%7B3%7D-6x%5E%7B2%7D-15x%2B30)
Step-by-step explanation:
1) In this question we've been given "a", the leading coefficient. and two roots:
![x_{1}=\sqrt{5}\:x_{2}=2](https://tex.z-dn.net/?f=x_%7B1%7D%3D%5Csqrt%7B5%7D%5C%3Ax_%7B2%7D%3D2)
2) There's a theorem, called the Irrational Theorem Root that states:
If one root is in this form
then its conjugate
. is also a root of this polynomial.
Therefore
![x_3=-\sqrt{5}](https://tex.z-dn.net/?f=x_3%3D-%5Csqrt%7B5%7D)
3) So, applying this Theorem we can rewrite the equation, by factoring. Remembering that x is the root. Since the question wants it in this expanded form then:
![f(x)=3(x-\sqrt{5})(x+\sqrt{5})(x-2)\Rightarrow 3x^{3}-6x^{2}-15x+30](https://tex.z-dn.net/?f=f%28x%29%3D3%28x-%5Csqrt%7B5%7D%29%28x%2B%5Csqrt%7B5%7D%29%28x-2%29%5CRightarrow%203x%5E%7B3%7D-6x%5E%7B2%7D-15x%2B30)