Formula for <span>Volume of cube= 1/3 x area of base x height
</span>as base and height are the same:
So,
Base = 18 cm
Height = 18 cm
Area of base = Base^2
<span>Area of base = 18^2
</span><span>Area of base = 324 cm
</span>Putting all the values into the formula:
1/3 x 324 x 18
<span>=6 x 324 </span>
= 1944 cm^3
So according to above explanation
<span>C) 1944 cm3, is the correct answer.</span>
Answer:
slope = - 5
Step-by-step explanation:
given the equation of a line in the form
y = mx ← m is the slope
y = - 5x is in this form with slope m = - 5
A polynomial function of least degree with rational coefficients so that P(x) = 0 has the given roots is P(x)=x²-5x-14
<h3>What is a polynomial function?</h3>
A function is said to as polynomial when a variable in an equation, such as a quadratic equation or cubic equation, etc., has only positive integer exponents or non-negative integer powers. One polynomial with an exponent of 1 is 2x+5, for instance. One that has more than two algebraic terms is referred to as a polynomial expression. Polynomial is a monomial or binomial that is repeatedly added, as the name suggests.
A mathematical expression containing one or more algebraic terms, where each algebraic term is made up of a constant multiplied by one or more variables raised to a nonnegative integral power.
x= -2, x=7
Given,
P(x) = 0
This polynomial function has the roots,
x= -2, x=7
So,
(x+2)(x-7)
We have to multiply both of them we get,
P(x)=(x+2)(x-7)
0=x²-5x-14
x²-5x-14=0
Therefore, P(x)=x²-5x-14 is the polynomial function.
To know more about polynomial function, visit:
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Answer:
The solution is given as 
Step-by-step explanation:
It is given that
![\lim_{\Delta \to 0} \sum_{k=1}^{n}(x_{k}^{*})^4\Delta x_{k} \, \,\,\,\,\,\,\,\,\, [6, 10]](https://tex.z-dn.net/?f=%5Clim_%7B%5CDelta%20%5Cto%200%7D%20%5Csum_%7Bk%3D1%7D%5E%7Bn%7D%28x_%7Bk%7D%5E%7B%2A%7D%29%5E4%5CDelta%20x_%7Bk%7D%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%5C%2C%20%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%20%5B6%2C%2010%5D)
As
where a and b are the lower and upper limits of the bound respectively.
On comparison it is observed that
So the equation is given as
So the solution is given as
