Narayah
consider a sequence whose first five terms are: 0, -2,-8, -18, -32
which function (with domain all integers n 1) could be used to define and continue this sequence?
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f(n)= - 2n2
f(n) = -(n)-1
f(n) = -2(n-1)
1
=
-1
fo
f(n) = -2(n-1)?

None of the given functions can be used to define this sequence.

Step-by-step explanation:

Here the given sequence is 0, -2, -8 , -18 , -32, ....

The given function are

Now, check for each functions:

1)

for  n = 1 , ≠ 0

Hence, the given function DO NOT satisfy the sequence.

2)

for n = 1, f(0) =  -1 -1  = -2 ≠ 0

Hence, the given function DO NOT satisfies the sequence.

3)

for  n = 1 , f(1) = -2(1 -1)  = -2 x 0   = 0

for n = 2 , f(2) = -2(2 -1)  = -2 x 1   = -2

for n = 3,  f(2) = -2(3 -1)  = -2 x 2    =  -4   ≠ -8

Hence, the given function DO NOT satisfies the sequence.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560