Answer:
Assign a number to each student, and use a computer program to generate 100 random numbers between 1 and 2000. Ask those students whose numbers are selected.
Step-by-step explanation:
SOLUTION:
Let's establish the formula for a cylinder as displayed below:
Let volume of cylinder = V
V = ( Pi )r^2h
Now let's substitute the values from the problem into the formula to find the volume.
V = ?
r = 8
h = 4
V = ( Pi )( 8 )^2( 4 )
V = ( Pi )( 64 )( 4 )
V = ( Pi )( 256 )
V = 256( Pi )
FINAL ANSWER:
Therefore, the answer is:
C. 256( Pi ) units^3
Hope this helps! :)
Have a lovely day! <3
Answer:
the common ratio is either 2 or -2.
the sum of the first 7 terms is then either 765 or 255
Step-by-step explanation:
a geometric sequence or series of progression (these are the most common names for the same thing) means that every new term of the sequence is created by multiplying the previous term by a constant factor which is called the common ratio.
so,
a1
a2 = a1×f
a3 = a2×f = a1×f²
a4 = a3×f = a1×f³
the problem description here tells us
a3 = 4×a1
and from above we know a3 = a1×f².
so, f² = 4
and therefore the common ratio = f = 2 or -2 (we need to keep that in mind).
again, the problem description tells us
a2 + a4 = 30
a1×f + a1×f³ = 30
for f = 2
a1×2 + a1×2³ = 30
2a1 + 8a1 = 30
10a1 = 30
a1 = 3
for f = -2
a1×-2 + a1×(-2)³ = 30
-10a1 = 30
a1 = -3
the sum of the first n terms of a geometric sequence is
sn = a1×(1 - f^(n+1))/(1-f) for f <>1
so, for f = 2
s7 = 3×(1 - 2⁸)/(1-2) = 3×-255/-1 = 3×255 = 765
for f = -2
s7 = -3×(1 - (-2)⁸)/(1 - -2) = -3×(1-256)/3 = -3×-255/3 =
= -1×-255 = 255
Answer:
496
Step-by-step explanation:
4811.2 / 9.7
= 496
Best of Luck!
