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3 years ago

Multiply: (2sin B+cos B)by 3cosec B.secB

Mathematics

1 answer:

adoni [48]3 years ago

6 0

Step-by-step explanation:

Is this the full question

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What is the eighth term in the sequence x+3, - 2x^2 - 6x, 4x^3 +12x^2

Anastasy [175]

Answer:

$a_8=-128x^8-384x^7$

Step-by-step explanation:

The terms of the sequence are:

$x+3,-2x^2-6x,4x^3+12x^2,...$

We can rewrite the terms in factored form to get;

$x+3,-2x(x+3),4x^2(x+3),...$

We can see that the subsequent terms are obtained by multiplying the previous term by $-2x$ . This is called the common ratio.

Therefore the first term of this geometric sequence is $a_1=x+3$ and the common ratio is $r=-2x$ .

The nth term of a geometric sequence is given by: $a_n=a_1(r^{n-1})$ .

Let us substitute the first term, the common ratio, and $n=8$ to obtain:

$a_8=(x+3)(-2x)^{8-1}$

$a_8=(x+3)(-2x)^{7}$

$a_8=-128x^7(x+3)$

$a_8=-128x^8-384x^7$

3 0

3 years ago

A girl has 3 different swimsuits, 4 different shorts and 3 different pairs of flip-flops. In how many different ways can this gi

In-s [12.5K]

Answer:

Option D is the correct answer.

Explanation:

A girl has 3 different swimsuits, 4 different shorts and 3 different pairs of flip-flops.

Different ways can this girl wear a swimsuit, a pair of short and a pair of flip-flops = 3P₁ x 4P₁ x 3P₁

= 3 x 4 x 3

= 36

Different ways can this girl wear a swimsuit, a pair of short and a pair of flip-flops = 36

Option D is the correct answer.

4 0

3 years ago

Write in simplest form 3m⋅4⋅n⋅n<br><br><br>

Sedbober [7]

Hello from MrBillDoesMath!

Answer:

12 m n^2

Discussion:

3m * 4 * n * n = => 3* 4 = 12

12 m * n * n => as n*n = n^2

12 m n^2

Thank you,

MrB

7 0

3 years ago

Read 2 more answers

How do you solve this 4x+5xy–2y?

Kitty [74]

The simplified expression of 4x + 5xy - 2y is 4x(1 + y) + y(x - 2)

<h3>How to solve the expression?</h3>

The expression is given as:

4x + 5xy - 2y

The above expression cannot be solved.

However, the expression can be grouped

So, we have:

4x + 5xy - 2y

Rewrite 5xy as 4xy + xy

So, we have:

4x + 5xy - 2y = 4x + 4xy + xy - 2y

Factorize the expression

4x + 5xy - 2y = 4x(1 + y) + y(x - 2)

Hence, the simplified expression of 4x + 5xy - 2y is 4x(1 + y) + y(x - 2)

Multiply: (2sin B+cos B)by 3cosec B.secB​

Multiply: (2sin B+cos B)by 3cosec B.secB