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Alenkasestr [34]
2 years ago
9

what is the eight term of the arithmetic sequence defined by the rule A(n)=-12+2(n-1) RIGHT ANSWER ONLY

Mathematics
1 answer:
Whitepunk [10]2 years ago
3 0

Answer:

a₈ = 2

Step-by-step explanation:

Substitute n = 8 into the nth term rule

A(8) = - 12 + 2(8 - 1) = - 12 + 2(7) = - 12 + 14 = 2

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Add two like terms: 16x+(-9x)=7x
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7 0
2 years ago
Law of sines: How many distinct triangles can be formed for which m∠A = 75°, a = 2, and b = 3?
butalik [34]
According to the law of sines:

\frac{a}{sin(A)} = \frac{b}{sin(B)}

Using the given values, we can find the angle B and find the number of possible triangles that can be formed.

\frac{2}{sin(75)}= \frac{3}{sin(B)} \\  \\ 
sin(B)=3* \frac{sin75}{2}  \\  \\ 
sin(B)=1.45 \\  \\ 
B=sin^{-1} (1.45)

The range of sin is from -1 to 1. The above expression does not yield any possible value of B, as sin of no angle can be equal to 1.45.

Therefore, we can conclude that no triangle exists with the given conditions.
5 0
3 years ago
What fraction of an hour is 10 minutes?<br><br> Give your answer in its simplest form.
Naddika [18.5K]

Answer:

1/6

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Factor completely 3x^2 − x − 4.
ozzi

3x^2 − x − 4

factor

= (3x − 4)(x + 1)


answer

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8 0
2 years ago
Michael wants to celebrate 4th July (US Independence Day) by putting together little gifts for his friends. He bought 176 red, 1
shepuryov [24]

Answer:

32

Step-by-step explanation:

2⊥ 96, 112, 176

2     48, 56, 88

2     24, 28, 44

2     12,  14,  22

2      6,   7,   11

Highest common factor= 2x2x2x2x2= 32

7 0
2 years ago
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