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I am Lyosha [343]
2 years ago
13

Find the 78th term of the arithmetic sequence -12,-13,-14,

Mathematics
1 answer:
creativ13 [48]2 years ago
8 0

Answer:

  -89

Step-by-step explanation:

The first term of the sequence is a1 = -12.

The common difference between terms is ...

  d = -13 -(-12) = -1

The generic term is given by ...

  an = a1 +d(n -1)

Then the 78th term is ...

  a78 = -12 +(-1)(78 -1) = -12 -77

  a78 = -89

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Eugene wants to buy jeans at a store that is giving $10 off everything. The tag on the jeans is marked 50% off. The original pri
d1i1m1o1n [39]
14.99 would be the price after the 50% discount and the $10 off
3 0
3 years ago
If an instrument measures in units of 10, then any value between which two values would be measured as 80?
enyata [817]

Answer:

The answer is 75 and 85.

Step-by-step explanation:

If the instrument measures in units of 10, then the measurement could be 5 units on either side of 80 (80 − 5 = 75, 80 + 5 = 85). Any value between 75 and 85 would be measured as 80.

4 0
3 years ago
Two consecutive whole number that lies between the square root of 38
Semenov [28]
√38

Let's name all the squares.
1² = 1 x 1 = 1
2² = 2 x 2 = 4
3² = 3 x 3 = 9
4² = 4 x 4 = 16
5² = 5 x 5 = 25
6² = 6 x 6 = 36
7² = 7 x 7 = 49
8² = 8 x 8 = 64

Okay that's far enough. Now we look for which numbers 38 is in between.
That would be 36 and 49.
But it's asking for where the square root of 38 is, so √36 and √49 ⇒ 6 and 7.
3 0
4 years ago
The time to failure (in hours) for a laser in a cytometry machine is modeled by an exponential distribution with . Round the ans
wariber [46]

Answer:

a)e^-(λ20891)

b)1-e^-(λ30598)

c)1-e^-(λ30598)-e^-(λ20891)

Step-by-step explanation:

The probability density function (pdf) of an exponential distribution is

f(x,λ)=λe^-(λx) for x>0, and 0 for x<0

The cumulative distribution function is given by

F(x,λ)=1-e^-(λx) for x>0, and 0 for x<0

P(X≥20891)=1-P(X≤20891)=1-F(20891,λ)=e^-(λ20891)

P(X≤30598)=F(30598,λ)=1-e^-(λ30598)

P(20891≤X≤30598)=F(30598,λ)-(20891,λ)=1-e^-(λ30598)-e^-(λ20891)

5 0
3 years ago
How are adjacent angles and vertical angles alike? Please help me.
vekshin1

Vertical angles are angles that are the same (for example >< since they're the same). Adjacent angles are angles that share a side with another angles, such as \|, since they are sharing on angle that connects the two.

Now that you know what each is, you can tell that they are similar because <em>they both have something in common</em>. When dealing with vertical angles, you can tell that they are the same thing, meaning they each share the whole shape of the angle. Adjacent angles share one whole line together; therefore, showing you that both have a line in common.

           adjacent angle              A        <em>they both share angle A.</em>

                                                   |

                                                   |

                                        B____|________C

vertical angle      <em>they both share the same shape; they have four lines, and they also share angle C</em>

a           b

\           /

 \        /

   \     /

C  \/

     /\

   /    \

 /        \

/D          \E

hope this helps :)

6 0
3 years ago
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