Given a polynomial
and a point
, we have that

We know that our cubic function is zero at -4, 0 and 5, which means that our polynomial is a multiple of

Since this is already a cubic polynomial (it's the product of 3 polynomials with degree one), we can only adjust a multiplicative factor: our function must be

To fix the correct value for a, we impose
:

And so we must impose

So, the function we're looking for is

We have to find the mass of the gold bar.
We have gold bar in the shape of a rectangular prism.
The length, width, and the height of the gold bar is 18.00 centimeters, 9.21 centimeters, and 4.45 centimeters respectively.
First of all we will find the volume of the gold bar which is given by the volume of rectangular prism:
Volume of the gold bar 
Plugging the values in the equation we get,
Volume of the gold bar 
Now that we have the volume we can find the mass by using the formula,

The density of the gold is 19.32 grams per cubic centimeter. Plugging in the values of density and volume we get:
grams
So, the mass of the gold bar is 14252.769 grams
Answer:
= (∛(100x))/5
Step-by-step explanation:
Given the expression; ∛(4x/5)
To simplify this we need to make denominator a perfect cube.
So multiply and divide 25 inside the cube root, so that the denominator will become a perfect cube of 5.
∛(4x/5) = ∛((4x/5)×(25/25))
= ∛(100x/125)
= ∛(100x/5³)
<u>= (∛100x)/5</u>
Answer:
Step-by-step explanation:
arranging in ascending order
45,57,70,72,78
number of terms=5
median=(5+1)/2=3rd
or median =70
Answer:
Step-by-step explanation:
log(7)6+log(7)2^3
log(7)6+log(7)8
log(7)(8*6)
log(7)48 = > D is the correct answer.