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lesantik [10]
3 years ago
6

The fifth term of an arithmetic sequence is 96. Which rule could define the sequence?

Mathematics
2 answers:
Klio2033 [76]3 years ago
4 0

Answer:

B) an = 18n + 6

Step-by-step explanation:

Ganezh [65]3 years ago
3 0

Answer:

a+4d = 96

Step-by-step explanation:

Given:  fifth term of an arithmetic sequence is 96

This means,  a+4d = 96

Where, a is the first term in the series and d is the common difference,

Since, the terms is 5th therefore we can say that

a+4d = 96

a = 96-4d

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The number 6 is a solution to which of the following inequalities?
Paladinen [302]

Answer:

21 + x < 28

Step-by-step explanation:

27 is in fact greater than 28 if you where to input 6 into the x spot, this is the only one that's a true expression.

8 0
3 years ago
If two of these shapes are randomly chosen, one after the other without replacement, what is the probability that the first will
aleksandrvk [35]

Answer:

P(T\ n\ S) = \frac{1}{14}

Step-by-step explanation:

*Missing Part of the Question*

4 stars

5 triangles

3 circles

3 squares

Required

Determine the probability of triangle being first then square being second

Total = 4 + 5 + 3 + 3

Total = 15

Represent the triangle with T and square with S

So, we're solving for P(T n S)

P(T\ n\ S) = P(T) * P(S)

Solving for P(T)

P(T) = \frac{n(T)}{Total}

P(T) = \frac{5}{15}

Solving for P(S)

The question implies a probability without replacement;

Hence Total has now been reduced by 1

Total = 14

P(S) = \frac{n(S)}{Total}

P(S) = \frac{3}{14}

Recall that

P(T\ n\ S) = P(T) * P(S)

P(T\ n\ S) = \frac{5}{15} * \frac{3}{14}

P(T\ n\ S) = \frac{15}{15 * 14}

P(T\ n\ S) = \frac{1}{14}

Hence, the required probability is

P(T\ n\ S) = \frac{1}{14}

3 0
3 years ago
a boat going upstream at 4 mph then travels downstream at 10 mph. what is the rate of the boat in still water​
elixir [45]

Answer:

7 mph

Step-by-step explanation:

If b is the rate of the boat, and s is the rate of the stream, then:

b − s = 4

b + s = 10

Solve the system of equations with substitution or elimination.  Using elimination, add the equations together:

2b = 14

b = 7

The boat's rate is 7 mph.

7 0
3 years ago
i dont understand equations of parallel and perpendicular lines here's one of my teachers examples y=2x+4 (-2,1)
SIZIF [17.4K]
Parallel lines will never touch each other while perpendicular forms like an X shape. The slope for the parallel is the same while the perpendicular is a negative reciprocal. (Ex for negative reciprocal. 2/4=4/2)
8 0
3 years ago
What is the least common multipul of 6 and 8?
Bogdan [553]

Answer:

Step-by-step explanation:

24

The LCM of 6 and 8 is 24. To find the least common multiple (LCM) of 6 and 8, we need to find the multiples of 6 and 8 (multiples of 6 = 6, 12, 18, 24; multiples of 8 = 8, 16, 24, 32) and choose the smallest multiple that is exactly divisible by 6 and 8, i.e., 24.

5 0
3 years ago
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