Answer:
12
Step-by-step explanation:
∛1728 = ∛2*2*2*2*2*2*3*3*3*3 = 2*2*3 = 12
Answer:
<h3>The nth term
Tn = -8(-1/4)^(n-1) or Tn = 6(1/3)^(n-1) can be used to find all geometric sequences</h3>
Step-by-step explanation:
Let the first three terms be a/r, a, ar... where a is the first term and r is the common ratio of the geometric sequence.
If the sum of the first two term is 24, then a/r + a = 24...(1)
and the sum of the first three terms is 26.. then a/r+a+ar = 26...(2)
Substtituting equation 1 into 2 we have;
24+ar = 26
ar = 2
a = 2/r ...(3)
Substituting a = 2/r into equation 1 will give;
(2/r))/r+2/r = 24
2/r²+2/r = 24
(2+2r)/r² = 24
2+2r = 24r²
1+r = 12r²
12r²-r-1 = 0
12r²-4r+3r -1 = 0
4r(3r-1)+1(3r-1) = 0
(4r+1)(3r-1) = 0
r = -1/4 0r 1/3
Since a= 2/r then a = 2/(-1/4)or a = 2/(1/3)
a = -8 or 6
All the geometric sequence can be found by simply knowing the formula for heir nth term. nth term of a geometric sequence is expressed as
if r = -1/4 and a = -8
Tn = -8(-1/4)^(n-1)
if r = 1/3 and a = 6
Tn = 6(1/3)^(n-1)
The nth term of the sequence above can be used to find all the geometric sequence where n is the number of terms
Answer:
The volume of pyramid B is 3.5 times greater than the volume of pyramid A
Step-by-step explanation:
The area of squared based a pyramid is given by:
Where 's' the length of the side of the base and 'h' is the height.
For pyramid A:
h= 100 m
s= 356/4 = 89 m
For pyramid B:
h= 215 m
s= 456/4 = 114 m
Pyramid B has a greater volume and the ratio between volumes is:
22.5 i think but i have no idea good luck
Answer:
1) 8.073 (multiply 0.621 by 13km)
2)1,320,000,000(5280ft times 250,000)
3)37.850(10,000 divided by 264.2)
4)4hrs
5)157680000
(60 seconds in one minute and 60 min in one hr so 60 times 60 =3600 in one hr. then multiply 3600 by 24 for the entire day which is 86400sec. Then multiply that day by 365 which is 31536000 times 5 years which gets us our total of 157680000 seconds.
6) 758000 L
1 gal = 3.79 L so we have to multiply 3.79 times 200,000 which gets us 758000
Step-by-step explanation:
1) To get this answer we need to find out how many miles are in one kilometer. 0.621 mile is 1 km so we need to put 13 for km which will get 8.073 miles. SO the answer is 8.073
2) we need to find how many feet are in a mile. 1 mile= 5,280. so 5280 times 250,000 = 1320000000
3) 264.2 gal= 1 cubic meter so 10,000/264.2= 37.850
4) 1 hr= 60 min = 4hrs and 58 minutes roughly
5) 60 sec is 1 minute= so 60 times 60(the minutes in
