Answer:
Step-by-step explanation:
Remark
We really should have 1 more term in the sequence. There could be a lot of things that determine what the sequence is. I'm going to say that each term is multiplied by 3
Givens
a1 = 1
r = 3
Formula
tn = a1 * 3^(n-1)
t100 = 1 * 3^(100 - 1)
t_100 = 3^99
t_100 = 1.72 * 10^47
This really is a scientific calculator problem. If you don't own such a thing, but you have windows 10 on your computer, go to the calculator. Go to the scientific calculator and put in these key strokes.
3
x^y
99
=
This is what you get
1.7179250691067044367882037658854e+47
Naturally, I rounded it a bit.
ANSWER
The solution is
EXPLANATION
The given equations are:
and
We multiply equation 1 by 3 to get,
We multiply equation 2 also by 2 to get,
We subtract equation 4 from equation 3 to get,
This implies that,
We put this value of y into any of the equations say equation 2
Simplify
Group like terms
Simplify,
Divide both sides by 3 to get,
Therefore the solution is
The correct answer is option D.
Given that the dealer sells a dozen tires for $240, every 3-tire set costs $60. There are six 2-tire sets in a dozen. Thus, his total revenue should be $360. The total profit is the difference between the total revenue and the total cost. The answer is therefore, the first choice, $120.
Answer:
<em>False</em>
Step-by-step explanation:
took the test
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
