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SashulF [63]
2 years ago
14

Which one is it?????

Mathematics
1 answer:
photoshop1234 [79]2 years ago
8 0
It is right 1 down 3
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Find an equation for the nth term of the arithmetic sequence.
amm1812

Answer:

a_n=-301 +37(n-1)

Step-by-step explanation:

arithmetic sequence formula:  a_n=a +(n-1)d

where a is the first term and d is the common difference

Given:

  a_{10}=32

⇒ a +(10-1)d=32

⇒ a+9d=32

Given:

    a_{12}=106

⇒ a +(12-1)d=106

⇒ a+11d=106

Rearrange the first equation to make a the subject:

a = 32 - 9d

Now substitute into the second equation and solve for d

    (32 - 9d) + 11d = 106

⇒ 32 + 2d = 106

⇒ 2d = 106 - 32 = 74

⇒ d = 74 ÷ 2 = 37

Substitute found value of d into the first equation and solve for a:

a + (9 x 37) = 32

a + 333 = 32

a = 32 - 333 = -301

Therefore, the equation is: a_n=-301 +37(n-1)

4 0
2 years ago
Use the quadratic formula to find the solutions to the equation.<br> 3x2 - 10x + 5 = 0
Nitella [24]

Answer: A

Step-by-step explanation:

3x² - 10x + 5 = 0

a = 3      b = -10     c = 5

Δ = b²- 4ac = 100 - 4.3.5 = 40 > 0 => have 2 solutions

=> x = \frac{10+\sqrt{40} }{6} or x = \frac{10-\sqrt{40} }{6}

3 0
3 years ago
Read 2 more answers
A bucket of water is 1/2 full but it still has 3 4/6 gallons of water in it how much water do you need to fill the bucket
xeze [42]

Answer:

7 1/3 gallons

Step-by-step explanation:

If the bucket is half full and still has half to go, you double the current contents of the bucket. 3 4/6 times 2 is equal to 7 2/6 gallons which simplifies to 7 1/3 gallons.

I don't fully understand your question though, if the question is asking how much MORE water is needed to fill the bucket, it's 3 2/3 gallons. If it's asking how much water in TOTAL it would take to fill the bucket completely, it's 7 1/3 gallons.

6 0
3 years ago
What is 9 1/2 plus 12 11/20
Svetllana [295]

Answer:

22\frac{1}{20}

Step-by-step explanation:

mark me Brainllest

5 0
2 years ago
Read 2 more answers
2+2= ???????<br><br> Will give brainlyest answer!!!!!!
Alex17521 [72]

Answer: fish

Step-by-step explanation: 2+2=fish

6 0
3 years ago
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