The long-term weather patterns that are typical in a location are the location's__

If you wanna get oil to 180 celcius when it starts at 20 how many units of thermal energy is needed?

Zarrin [17]

Answer:

The thermal energy (heat) needed, to raise the temperature of oil of mass 'm' kilogram and specific heat capacity 'c' from 20°C to 180°C is 160·m·c joules

Explanation:

The heat capacity, 'C', of a substance is the heat change, ΔQ, required by a given mass, 'm', of the substance to produce a unit temperature change, ΔT

∴ C = ΔQ/ΔT

ΔQ = C × ΔT

C = m × c

Where;

c = The specific heat capacity

ΔT = The temperature change = T₂ - T₁

∴ ΔQ = m × c × ΔT

Therefore, the thermal energy (heat) needed, ΔQ, to raise the temperature of oil of mass 'm' kilogram and specific heat capacity, 'c' from 20°C to 180°C is given as follows;

ΔQ = m × c × (180° - 20°) = 160° × m·c

ΔQ = 160·m·c joules

7 0

3 years ago

Explain why the equation ( x - 4 ) ^2 - 28 =8 has two solutions. Then solve the equation to find the solutions. Show your work.

algol13

Taking into account the discriminant and quadratic formula:

As Δ> 0 the function has two real roots or solutions.
The solutions are x1= 10 and x2= -2.

<h3 />

Zeros or solutions of a function

The points where a polynomial function crosses the axis of the independent term (x) represent the so-called zeros of the function.

That is, the zeros represent the roots of the polynomial equation that is obtained by making f(x)=0.

In summary, the roots or zeros of the quadratic function are those values of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.

<h3>Discriminant</h3>

The function f(x) = ax² + bx + c

with a, b, c real numbers and a ≠ 0, is a function quadratic expressed in its polynomial form (It is so called because the function is expressed by a polynomial).

The following expression is called discriminant:

Δ= b²- 4×a×c

The discriminant determines the amount of roots or solutions of the function.

Then:

If Δ <0 the function has no real roots and its graph does not intersect the x-axis.
If Δ> 0 the function has two real roots and its graph intersects the x-axis at two points.
If Δ = 0 the function has a real root and its graph intersects the x-axis at a single point that coincides with its vertex. In this case the function is said to have a double root.

<h3 /><h3>Amount of solutions of function (x - 4)² - 28 =8</h3>

The function (x - 4)² - 28 =8 can be expressed as:

(x - 4)² - 28 -8= 0

(x - 4)² - 36= 0

x²- 8x + 16 - 36= 0

x²- 8x - 20= 0

Being:

a= 1
b= -8
c= -20

the amount of solutions are calculated as:

Δ= (-8)²- 4×1×(-20)

Δ= 144

As Δ> 0 the function has two real roots or solutions and its graph intersects the x-axis at two points.

<h3>Solutions of a cuadratic function</h3>

In a quadratic function that has the form:

f(x)= ax² + bx + c

the zeros or solutions are calculated by:

$x1,x2=\frac{-b+-\sqrt{b^{2}-4ac } }{2a}$

<h3>Solutions of function (x - 4)² - 28 =8</h3>

The function (x - 4)² - 28 =8 can be expressed as x²- 8x - 20= 0

Being:

a= 1
b= -8
c= -20

the solutions of the function are calculated as:

$x1=\frac{-(-8)+\sqrt{(-8)^{2}-4x1x(-20) } }{2x1}$

$x1=\frac{-(-8)+\sqrt{144 } }{2x1}$

$x1=\frac{8+\sqrt{144 } }{2}$

$x1=\frac{8+12 }{2}$

$x1=\frac{20}{2}$

x1= 10

and

$x2=\frac{-(-8)-\sqrt{(-8)^{2}-4x1x(-20) } }{2x1}$

$x2=\frac{-(-8)-\sqrt{144 } }{2x1}$

$x2=\frac{8-\sqrt{144 } }{2}$

$x2=\frac{8-12}{2}$

$x2=\frac{-4}{2}$

x1= -2

Finally, the quadratic function (x - 4)² - 28 =8 has two solutions and the solutions are x1= 10 and x2= -2.

Learn more about the zeros of a quadratic function:

<u>brainly.com/question/14477557</u>

<u>brainly.com/question/842305</u>

<u>brainly.com/question/14477557</u>

7 0

3 years ago

The combined actions of your brain , nervous system, muscles, joints and bones that allow you to do anything from holding a spoo

Natali5045456 [20]

The correct answer is B. Motor skills

3 0

3 years ago

How many moles of S2O8 2– react for every mole of S2O3 2– that reacts? Consider the balanced chemical equations for reactions 1

rewona [7]

For 1 mole of S₂O₃²⁻ 0.5 mole of S₂O₈²⁻ will be used.

<h3>What is a balanced Reaction ?</h3>

A reaction in which the number of atoms in reactants is equal to the number of atoms in the products is called a balanced reaction.

The reaction given in the question is

S₂O₈²⁻ + 2I⁻ ⇄ 2SO₄²⁻ + I₂

I₂ + 2S₂O₃²⁻ ⇄ 2I⁻ + S₄O₆²⁻

Adding the equation will give balance equation

S₂O₈²⁻ + 2I⁻ + 2S₂O₃²⁻ ⇄ 2SO₄²⁻ + 2I⁻ + S₄O₆²⁻

So x moles of S₂O₈²⁻ require 2x of S₂O₃²⁻

for 1 mole of S₂O₃²⁻ 0.5 mole of S₂O₈²⁻ will be used.

To know more about Balanced Reaction

brainly.com/question/14280002

#SPJ1

7 0

3 years ago

What is the equilibrium constant for the following reaction c + o2↔co2

julia-pushkina [17]

C + O₂ = CO₂
↓ ↓
reagents products

<span>Kc = products / reagents
</span>
Kc = [ CO₂ ] / [ C ] . [ O₂]

hope this helps!

7 0

4 years ago

The long-term weather patterns that are typical in a location are the location's___?