IDK if i have to explain again but
A. (-infinity, infinity)
B. (-infinity, -3]
C. (-infinity, -4)u(-4, 0)u(0, infinity)
those u's are the logic symbol
2. domain: [-6, -1)u(-1, 3]u [3, -infinity)
range: (-infinity, 4]
3a. 8x^2 + 17
3b. 32x^2 + 80x + 53
3c. I cant see the multiplication symbol
Benny started with 55 five cards. In order for his dog to have eaten half his cards and end up with 30 cards, that would mean he had 60 cards. Mind you, he had bought 5 more the day before his dog ate them. I hope that makes sense
Larger PyramidHeight 24 Volume 648
Pyramid Volume = (Area of the Base * Height) ÷ 3648 = Base Area * 24 / 3Base Area = 648 * 3 / 24Base Area = 648 / 8Base Area = 81Base Length = 9
a) The Scale Factor between the Small & Large PyramidLength - 3LATERAL Area - 9Volume - 27
Slant Height^2 = 4.5^2 + 24^2Slant Height^2 =
<span>
<span>
596.25
</span>
</span>
<span><span>Slant Height^2 = 24.4182308941
</span>
</span>
b)
Large Pyramid Area = (½ * Perimeter of Base * Slant Height) + Base AreaLarge Pyramid Area = (.5 * 36 * <span>24.4182308941) + 81
</span>Large Pyramid Area = 439.5281560938 + 81
Large Pyramid TOTAL Area =
<span>
<span>
520.5281560938
</span>
</span>
<span>Large Pyramid LATERAL Area =<span> 439.5281560938
</span>
</span>
**********************************************************************************c)
Smaller PyramidHeight 8Surface Area = 124
This pyramid has dimensions that are one third of the larger pyramid.Therefore, it has a base length of 3.Base Area = 9.
Its base perimeter would be 12.
Small Pyramid Volume = (Area of the Base * Height) ÷ 3Small Pyramid Volume = ( 9 * 8 ) / 3Small Pyramid Volume = 72 / 3
c) Small Pyramid Volume =24 cubic meters
d) Ratio of larger pyramid volume to smaller pyramid volume648 / 24 = 27The reason? Volume is a 3 dimensional quantity. The Larger pyramid is 3 times larger in terms of the base measurement.9 meters vs 3 meters - a factor of 3When we compare volumes, we have to cube this factor.3^3 = 27
Source : http://www.1728.org/volpyrmd.htm
Answer:
Step-by-step explanation:
Blue Marbles =5
Pink Marbles =3
Total =3+5=8
Probability of drawing two marbles with replacement
=P(First Blue Marble AND Second Blue Marble)
=P(First Blue Marble) X P(Second Blue Marble)
