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Anestetic [448]
3 years ago
15

Tan 9x - tan 5x/ 1+ tan 9x tan 5x

Mathematics
1 answer:
NeTakaya3 years ago
8 0

Answer:

tan 4x

Step-by-step explanation:

Note the difference identity for tangent ratio is

tan(x - y) = \frac{tanx-tany}{1+tanxtany}

Given

\frac{tan9x-tan5x}{1+tan9xtan5x} ← in the form of the right side of the expansion, thus

= tan(9x - 5x)

= tan 4x

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Does the graph above have an Hamiltonian circuit, Hamiltonian path, or neither? Paths and Circuits Help
Hatshy [7]

a. Only a Hamiltonian path

One such path is

1 → 2 → 0 → 4 → 3

which satisfies the requirement that each vertex is visited exactly once.

There is no Hamiltonian circuit, however, since it is impossible for any Hamiltonian path on this graph to visit vertex 0 exactly once.

6 0
2 years ago
Please answer!!!!!!!!!!!!!!!!!
laiz [17]
The answer is B, the green is f(x)=x^2 and the red one is g(x)=f(2x).

4 0
2 years ago
Student grades on a chemistry exam were: 77, 78, 76, 81, 86, 51, 79, 82, 84, 99
IrinaK [193]

Answer:

Step-by-step explanation:

A) Stem-and-leaf plot

stem          leaf

5                 1

7                 6,7,8,9

8                 1,2,4,6

9                  9

B) Outlier

Could consider 51 an outlier.

3 0
3 years ago
Find the product (3x-9)^2
Stells [14]

Here are the steps:

(3x-9)^2

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good luck ;)


4 0
3 years ago
The Statistics Club at Woodvale College sold college Y-shirts as a fundraiser. The result of the sale are shown below. Choose on
zavuch27 [327]

We are asked to find the probability that the student sold 11-15 T-shirts or less than 6 T-shirts.

The total number of club members = 2 + 14 + 12 + 3 + 6 + 1 = 38

Probability of 11-15 T-shirts:

From the table, 3 club members bought 11 - 15 T-shirts.

So the probability is 3/38

Probability of less than 6 T-shirts:

Less than 6 T-shirts means 1 - 5 plus 0 T-shirts.

Form the table, 14 club members bought 1 - 5 T-shirts and 2 club members bought 0 T-shirts.

Total club member who bought 1 - 5 and 0 T-shirts = 14 + 2 = 16

So the probability is 16/38

Now we have to add them together to find the probability that the student sold 11-15 T-shirts or less than 6 T-shirts.

(or means to add)

So the probability is 3/38 + 16/38 = 19/38 = 0.5000

Therefore, the correct answer is option c.

6 0
1 year ago
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