The triangular prism has a volume of
.. V = Bh = (1/2)*(4ft *8 ft)*(24 ft) = 384 ft^3
One example is when n is 11. 11^2 + 4 = 125. 11 is odd but the 11th term of the sequence, 125, is not prime because 125 is divisible by 5 and 25.
Answer:
2280 minutes.
Step-by-step explanation:
Time spent each week in lessons = (Lessons per week)(Time per lesson)
= (6)(38)
= 228 minutes/week
Time spent in a 10-week period:
10 weeks * 228 minutes/week
= 2280 minutes
Use conversion factors to determine the time in the desired units (i.e. Hours, seconds, etc.).
Hope this helps!
<span>3x^2y^2 − 2xy^2 − 8y^2 =
y^2 (3x^2 - 2x - 8) =
factoring with leading coefficient:
for ax2+bx+c find two numbers n,m, that m*n = a*c and m+n = b
</span><span><span>
3x^2 - 2x - 8
a=3, b=-2, c=-8
</span>a*c = 3*(-8) = -24
-24=(-6)*4 and -6+4=-2, so m=-6 and n=4
replace bx with mx + nx and factor by grouping
</span><span>
3x^2 - 2x - 8 = </span>3x^2 -6x + 4x -8 = 3x(x-2) + 4(x-2) = (3x+4)(x-2)
answer:
<span>3x^2y^2 − 2xy^2 − 8y^2 = y^2(3x+4)(x-2)</span>
difference= 0.78[Anastasia's] - (1 - 0.34)[Sergei's]=
0.78m - (0.66m)=0.12m=12cm
