The explicit formula for the sequence is 3n -10
<h3>What is an Arithmetic Sequence ?</h3>
An arithmetic sequence is a series of terms which have common difference between its consecutive numbers.
The sequence given is
−7, −4, −1, 2, 5, …
The common difference between each term is d =3
-4-(-7) = 3
-1-(-4) =3
The nth term for a sequence is given by

Here a is the first term = -7
n is the no. of terms = n
d is the common difference = 3
Therefore the equation will be

= -7 +3n -3
= 3n -10
Therefore the explicit formula for the sequence is 3n -10 .
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3.07, 3.7, 3.77, 7.3, 7.33
There are ten time slots for these appointments. For the first time slot, there are 15 different students that can fill the slot. Next appointment, there are only 14 possible students since we already saw one. This goes on and on, 15 x 14 x 13... for 10 different time slots.
<span>15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 = 10,897,286,400
</span>
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Given equation of the Circle is ,
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
Here we can say that ,
• <u>Radius</u> = 5 units
• <u>Centre </u> = (0,0)
<u>Finding</u><u> </u><u>distance</u><u> between</u><u> </u><u>the </u><u>two </u><u>points</u><u> </u><u>:</u><u>-</u><u> </u>
- Here we can see that the distance of point from centre is less than the radius.
<u>Hence </u><u>the</u><u> </u><u>point</u><u> </u><u>lies </u><u>within</u><u> </u><u>the </u><u>circle</u><u> </u><u>.</u>
Answer:
- volume: 252 cm³
- mass: 2167.2 (units not specified)
Step-by-step explanation:
The volume of a cuboid is given by the product of its dimensions. Here, that is ...
(12 cm)·(6 cm)·(3.5 cm) = 252 cm³
We are told the mass of each cm³ is 8.6, so 252 of them will have a mass of ...
8.6·252 cm³ = 2167.2 . . . . . no units specified