Answer:
-30 - 4n
Step-by-step explanation:
-34, -38, -42, -46, -50 ...
the sequence first term is -34
a= -34
Common difference (d) = T2 - T1 = T3 - T2
d = -38- -34 = -42 - - 38 = -38+34
d = -4
Formula for nth term
Tn = a + (n-1)d
Tn = -34 + (n -1)-4
Tn = -34 -4n + 4
Tn = -30 - 4n
= -30 - 4n
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For this case we have that by definition, the density is given by:

Where:
M: It is the mass of the diamond
V: It is the volume of the diamond
According to the data of the statement we have:

So the volume is:

Thus, the volume of the diamond is approximately 
Answer:

Sorry if my handwriting sloppy.
I showed all of it step by step.
Answer: b. Lin buys a pack of 87 pencils. She gives 39 to her teacher and shared the remaining pencils between herself and 3 friends.
Step-by-step explanation:
Lin buys 87 pencils which is why the entire number line adds up to 87.
She gave 39 of these pencils to her teacher which s why there is a section of the number line that is unlike the rest and is 39 in number.
The rest of the number line is a set of 4 spaces which are equal.
Lin shared the remaining pencils between herself and 3 friends which means she shared the pencils with 4 people. These four equal quantities of pencils are the 4 spaces.
700/200 as a terminating decimal is 3.5