Answer:
179.159
Step-by-step explanation:
Given the sequence :
50, 60, 72,..
The sequence given is a geometric sequence :
For a geometric sequence ;
ar^(n - 1)
a = first term
r = a2 / a1 = 60 / 50 = 1.2
The 8th term ; n =8
a8 = ar^(n - 1)
a8 = 50*1.2^(8 - 1)
a8 = 50*1.2^7
a8 = 50*3.5831808
a8 = 179.15904
a8 = 179.159 (nearest thousandth )
Answer:
18 terms
Step-by-step explanation:
The first given sequence has first term a1=2 and common difference d=5. Its explicit formula is ...
an = 2 +5(n -1) = 5n -3
We want the n-th term of this sequence to be the same as the n-th term of the sequence defined by ...
an = 4n +15
We can find n that makes this true by setting the 'an' values equal:
an = an
5n -3 = 4n +15
n = 18 . . . . . . . . . . add 3-4n
The number of terms in each sequence is 18.
_____
<em>Additional comment</em>
The last term in each sequence is 87.
1.7 as a fraction is 17/10
1.(7) the 7 in the parentheses represents the number after the decimal, which is in the tenths spot. 10 tenths + 7 tenths = 17/10 <-- our answer.
When x=42 that means it is 8x6 so that means that the y = 120 becuase its 20x6
answer= y=120
Answer:
<h2>Approximately 141 malt balls</h2>
Step-by-step explanation:
this problem is on the mensuration of solids shapes.
first we need to calculate the volume of the rectangular prism
volume of prsim= l*b*h
given that
length= 1.5 in
breath=2.5 in
hieght= 6 in
volume= 1.5*2.5*6
volume=22.5 in^3
secondly we then calculate the volume of a malt ball
given that
raduis r= 0.34
volume of sphere = 4/3πr^3
volume of sphere = 4/3*3.124*(0.34)^3
volume of sphere = 1.33*3.142*0.039
volume of sphere = 0.16 in^3
now we can calculate the amount of sphere that can fit into the prism as
= volume of prism/volume of sphere
= 22.5/0.16
=140.6
approximately 141 malt balls
