How to find next number in this sequence. 2,7,26,101,400?

Answers

Answer 1
Answer: n(4)-1
n(4)-2

ex 2(4)=8
8-1=7

7(4)=28
28-2=26
 so the next number would be 1595

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Write the expression as the sine, cosine, or tangent of an angle.sin 9x cos x - cos 9x sin x
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What is the solution set of the equation x²+2x-24=0?

Answers

Simple...

you have x^(2) +2x-24=0

AND WORK IS ATTACHED!! :D

Find the square root of 0.81 a. 0.9 b. 9 c. 81 d. 0.09

Answers

The square of 0.9 will result to 0.81, and the squareroot of 0.81 is equal to 0.9.

What is square and square root

Squares are the numbers gotten after multiplying a value by itself. While the squareroot of a number is a number whose square is the given number. Hence, both are vice versa methods.

We shall solve for the square root of the number 0.81 as follows;

0.81 = (0.9 × 0.9)

by taking the squareroot of both sides we have;

√0.81 = √(0.9 × 0.9)

√0.81 = √(0.9)²

√0.81 = 0.9

Therefore, the square of 0.9 will result to 0.81, and the squareroot of 0.81 is equal to 0.9

Know more about square and squareroot here:brainly.com/question/428672

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Write an expression using the distributive property that can be used to find the quotient of 36 ÷ 3

Answers

something like 36÷3 = (3)÷3=1 and (6)÷3=3 you put 1 and 3 together to make 13

Final answer:

The solution to the given mathematical problem is found by using thedistributive property to break down 36 into its component parts (30 and 6), then dividing each part by 3, yielding the answer of 12.

Explanation:

The question is framing a scenario where we need to use the distributive property to simplify a division operation. The distributive property deals with multiplying a number by a sum or difference, in essence 'distributing' the multiplication over addition or subtraction.

So the division 36 ÷ 3 could be set up using the distributive property like (3×10) + (3×2) by breaking down 36 into a sum like 30 + 6.

So, 36 ÷ 3 = (3 x 10 + 2) ÷ 3 Applying the distributive property, we distribute the division operation over the addition. = (30 ÷ 3 + 6 ÷ 3) = 10 + 2 = 12

Learn more about Distributive Property here:

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What percent of 80 is 56 ( how do i show my work for this)

Answers

Simple......................... :D

It's asking...

What percent of 80 is 56? 
----------->>>

----->>>

x*80=56

80x=56

x=(56)/(80)

=0.7

Change into a percent...(Move decimal to the right 2 places...)

=70%

Thus, your answer.

Hi there! P%=Y/X. P%=56/80. P=0.7. P%=0.7*100=70%. Therefore. 70% of 80 is 56.

if the length of certain rectangle is decreased by 4 cm and breadth is increased by 2 cm, it would result in a square of the same area. what is the perimeter of the original rectangle?

Answers

Answer:

To find the perimeter of the original rectangle, we first need to find the dimensions of the rectangle.

Let's assume the length of the original rectangle is L cm and the breadth is B cm.

According to the given information, if the length is decreased by 4 cm, the new length becomes (L - 4) cm. Similarly, if the breadth is increased by 2 cm, the new breadth becomes (B + 2) cm.

We are told that this new rectangle with dimensions (L - 4) cm and (B + 2) cm is actually a square with the same area as the original rectangle.

The area of a rectangle is given by length multiplied by breadth. So, the area of the original rectangle is L * B square cm.

The area of the new square is equal to the area of the original rectangle. Therefore, we can set up the equation:

(L - 4) * (B + 2) = L * B

Expanding the equation:

LB - 4B + 2L - 8 = LB

Simplifying the equation:

2L - 4B - 8 = 0

2L = 4B + 8

L = 2B + 4

Now that we have an equation relating the length and breadth of the original rectangle, we can find the perimeter.

The perimeter of a rectangle is given by the formula: 2 * (length + breadth).

Substituting the value of L from the equation above, we get:

Perimeter = 2 * [(2B + 4) + B]

Perimeter = 2 * (3B + 4)

Perimeter = 6B + 8

Therefore, the perimeter of the original rectangle is 6B + 8 cm.

Step-by-step explanation:

How many different arrangements of the letters in the word "COLOR" are there

Answers

Answer:

Total number of different arrangements = 60

Step-by-step explanation:

The word is given to be : COLOR

We need to find number of different arrangements of the letters in the given word.

Number of letters in the word = 5

Now, The letter O is repeating 2 times

Number of times a letter is repeating in the word = 2

\text{Total number of arrangements = }(5!)/(2!)\n\n\implies\text{Total number of arrangements = }(5* 4* 3* 2* 1)/(2* 1)\n\n\bf\implies \textbf{Total number of arrangements = }60

Your answer is 60 ways !

Hope this helps :)