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Inessa [10]
2 years ago
9

The first term of an arithmetic sequence is -5, and the tenth term is 13.

Mathematics
1 answer:
Nitella [24]2 years ago
7 0

Answer:

The common difference is 2

Step-by-step explanation:

The formula for an arithmetic sequence is

an = a1+d(n-1)

a1 = -5

a10 = 13

Substituting n=10 a10=13 and a1 =-5

13 = -5 +d (10-1)

13 = -5 +9d

Add 5 to each side

13+5 = -5+5 +9d

18 = 9d

Divide each side by 9

18/9 = 9d/9

2 =d

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Letter d is 7 someone help me please!!!!
Dafna11 [192]

Answer:

The answer is A. -7

Step-by-step explanation:

76 + 41 = 117

117 + 70 = 187

187- 7 = 180

Hope this helps

3 0
2 years ago
Read 2 more answers
Arlene is comparing the prices of two truck rental companies. Company A charges $7 per hour and an additional $30 as service cha
Valentin [98]

Answer:

Part A: 7n + 30= -5 and 8n + 40= 16

Part B: 7(8) + 30= 86 and 8(8) + 40= 104

Part C: Company A saves you 12.

Step-by-step explanation:

Company A: 7n + 30

Company B: 8n + 40

7n + 30= -5       8n + 40= 16

7(8) +30= 86     8(8) +40= 104

7(2) + 30= 44    8(2) + 40= 56

56 - 44= 12

7 0
3 years ago
A bag contains 4 blue marbles, 2 yellow marbles, and 6 orange marbles. What is the probability of picking an orange marble and t
ikadub [295]

We will see that the probability of picking two orange marbles without replacement is 0.23

<h3>How to get the probability?</h3>

If we assume that all the marbles have the same probability of being randomly picked, then the probability of getting an orange marble is given by the quotient between the number of orange marbles and the total number of marbles, this gives:

P = 6/12 = 1/2

And then we need to get another orange marble, without replacing the one we picked before, this time there are 5 orange marbles and 11 in total, so the probability is:

Q = 5/11

Finally, the joint probability (of these two events happening) is the product of the probabilities, so we get:

P*Q = (1/2)*(5/11) = 0.23

If you want to learn more about probability, you can read:

brainly.com/question/251701

5 0
2 years ago
Which is the simplified form of the expression <br><br><br> please help!!
Art [367]

Answer:

A

Step-by-step explanation:

p^-8q^-20 * p^8q^-10

=q^-30

=1/q^30

8 0
2 years ago
I wasn’t so sure on how to solve this, anyone mind helping me?
sweet-ann [11.9K]

Answer:

Rays: A, B, C, D - 4 rays for each.

Line segments: AB, BD, DC, CA.

7 0
2 years ago
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