A frog is at the bottom of a 78 meter well. Each day he leaps 4 meters up the well. At night, while he is asleep, he slips 2 meters backwards.How many days does it take him to escape from the well?

Answers

Answer 1

Answer: 78 divided by 4 = 19.5 so 19 and a half days to climb up the well.

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Simplify: 43-2[6+(3+2)]
Divide 7/24 by 35/48 and reduce to lowest fraction
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What is the factorization of 216x12 – 64?(6x3 – 4)(36x6 + 24x3 + 16)
(6x3 – 4)(36x9 + 24x3 + 16)
(6x4 – 4)(36x8 + 24x4 + 16)
(6x4 – 4)(36x12 + 24x4 + 16)

Answers

216x¹² - 64
8(27x¹²) - 8(8)
8(27x¹² - 8)
8(27x¹² + 18x⁶ - 18x⁶ + 12x⁴ - 12x⁴ - 8)
8(27x¹² + 18x⁸ + 12x⁴ - 18x⁸ - 12x⁴ - 8)
8[3x⁴(9x⁸) + 3x⁴(6x⁴) + 3x⁴(4) - 2(9x⁶) - 2(6x⁴) - 2(4)]
8[3x⁴(9x⁸ + 6x⁴ + 4) - 2(9x⁸ + 6x⁴ + 4)]
8(3x⁴ - 2)(9x⁸ + 6x⁴ + 4)

The answer is C.

Hello there!

This is a difference of cubes of the form:

(a^3-b^3) which always factors to (a-b)(a^2+ab+b^2)

So if you find the cube of each term you will have a and b for the factors above.

(216x^12)^(1/3)=6x^4 and 64^(1/3)=4 so

(6x^4-4)(36x^8+24x^4+16), So C. is the correct answer.

Perform the operations, multiply, and simplify.
-a^3b (3a^2 b^5 - ab^4 - 7a ^2 b)

Answers

$-a^3b (3a^2 b^5 - ab^4 - 7a ^2 b)=\n -3a^5b^6+a^4b^5+7a^5b^2$

$-a^3b (3a^2 b^5 - ab^4 - 7a ^2 b) \n \n =-3a^5b^6-(-a^4b^5)-(-7a^5b^2) \n \n =-3a^5b^6+a^4b^5+7a^5b^2$

Convert 3 7/8 to a fraction notation?

Answers

If you would like to convert 3 7/8 to a fraction notation, you can do this using the following steps:

3 7/8 = (3 * 8 + 7)/8 = (24 + 7)/8 = 31/8

The correct result would be 31/8.

Round this number 3.899 to the nearest hundredth

Answers

3.90 is the number rounded to the nearest hundredth.

To round that too the nearest hundredth your answer would be 3.9

Solve for X in the following equation:3 (4x - 9) + 4 = 2 (5x - 7) + 2x.

Answers

Answer:

Contradiction

Step-by-step explanation:

$3(4x-9) + 4 = 2(5x-7)+2x\n 12x-27+4 = 10x-14+2x\n12x-23=12x-14\n-23=-14\n$

Contradiction

How to decrease £64 by 70%

Answers

you can do it in two ways,

1st method,

64×70=4480
4480÷44.8
64-44.8=19.2

2nd method,
you have to find the common multiplier,
to find the common multiplier you have to decrease the percentage by 100 and divide it by 100,

100-70=30
30÷100=0.3

now you have to multiply 0.3 and 64,

0.3×64=19.2

either way, you'll get the answer, 19.2
hope this helps....

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