12*5*4.25=255 cubic in (total vol.)
.25*.25*.25=1/64 (vol. of small cube)
255/(1/64)=16,320 cubes
For this case we must solve the following quadratic equation:
Where:
The solution is given by:
Substituting:
Thus, we have two roots:
ANswer:
The required equation of the parabola is (y-5)² = 20(x+2)
<h3>Equation of a parabola</h3>
The standard equation of a parabola is expressed as;
(y-k)² = 4p(x-h)
where;
vertex = (h, k)
focus = (p+k, k)
directrix x = -p + h
Note that the directrix given will determine the type of the equation of a parabola
Given the following parameters
focus = (-2, 5) = (h, k)
x = -p + h
3 = p -2
p = 5
Substitute
(y-k)² = 4p(x-h)
(y-5)² = 4(5)(x-(-2))
(y-5)² = 20(x+2)
Hence the required equation of the parabola is (y-5)² = 20(x+2)
Learn more on equation of parabola here; brainly.com/question/4061870
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Hello from MrBillDoesMath!
Answer:
225
Discussion:
Sum ( 2n - 1) from n = 1 to 15
= Sum(2n) - Sum(1) from n = 1 to 15
= 2 Sum(n) - Sum(1) from n = 1 to 15
= 2* 15(15+1)/2 - (1 + 1 + .. + 1)
The first value comes from the fact that the sum of the first n integers is n(n+1)/2. The latter value sums 15 1's.
= 2 * 15 * 16/2 - 15 => 2/2 = 1
= 15*16 - 15 => 15*16 = 240
= 240 - 15
= 225
Thank you,
MrB
Answer:
(5x + 6) (x + 7)
Step By Step Explanation:
Use the sum form to the product.
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