Step-by-step explanation:
the introduction of a fraction tells us that we are dealing with multiplications, and therefore a geometric sequence (where every new term is created by multiplying the previous term by a constant factor, the ratio r).
I think your teacher made a mistake, or you made one when typing the question in here.
there is no factor r that creates
15×r = 9
and
9×r = 5/27
it would mean that
15 × r² = 5/27
r² = 5/27 / 15 = 5/27 × 1/15 = 5/405 = 1/81
r = 1/9
but 15 × 1/9 = 5 × 1/3 = 5/3 is NOT 9
and 9 × 1/9 = 9/9 = 1 is NOT 5/27
so, this can't be right.
on the other hand
15 × r = 9
r = 9/15 = 3/5
and then
9 × 3/5 = 27/5
so, either the sequence should have been
15, 5/3, 5/27
or (and I suspect this to be true)
15, 9, 27/5
under that assumption we have
s1 = 15
r = 3/5
sn = sn-1 × r = s1 × r^(n-1) = 15 × (3/5)^(n-1)
s10 = 15 × (3/5)⁹ = 15 × 19683/1953125 =
= 3 × 19683/390625 = 59049/390625 =
= 0.15116544 ≈ 0.151
Answer: f(-6) = 
, f(-4) = 
, f(4) = 
, f(6) = 
<u>Step-by-step explanation:</u>
(-6, f(-6)) is an x,y coordinate. They are asking what the y-value is when you plug in -6 for x.
f(x) = 
f(-6) = 
= 
=
f(-4) = 
= 
= 
=
f(4) = 
= 
= 
=
f(6) = 
= 
=
Angles in a triangle adds up to 180
All you do it 59+69 which is 128
Then you do 180-128 the answer is 52
Answer:
Test A: 40 words per minute
Test B: 54 words per minute
Test C: 44 words per minute
<em><u>Test B has the highest unit rate</u></em>
Step-by-step explanation:
Test A divide 30 by 
(30/0.75=40)
Test B divide 78 by 
(78/1.5=52)
Test C divide 99 by 
(99/2.25=44)
<u>Hope this helps :-)</u>
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