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3 years ago

This was my very last homework question and i'm stumped. log_4(x+1)-log_4(x)=3

1 answer:

4 0

$\log_4(x+1)-\log_4x=3 \qquad(x>0)\\ \log_4\dfrac{x+1}{x}=3\\ \dfrac{x+1}{x}=4^3\\ \dfrac{x+1}{x}=64\\ x+1=64x\\ 63x=1\\ x=\dfrac{1}{63}$

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3 years ago

Which choice is equivalent to the quotient shown here when x>=0 square root of 35x^5 divided by the square root of 7x^3

natita [175]

Answer:

x√5 = x square root 5

Step-by-step explanation:

√35x^5 ÷ √7x^3 = √(35x^5 / 7x^3)

√(35x^5 / 7x^3) = √(5x^5 / x^3)

√(5x^5 / x^3) = √5x^(5-3) = √5x²

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3 years ago

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3 years ago

The length of a rectangle board is 10 centimeters longer than its width. The width of the board is 26 centimeters. The board is

Troyanec [42]

Answer:

Area of each piece = 104 $cm^{2}$

Possible dimensions are 26 cm by 4 cm, 13 cm by 8 cm.

Step-by-step explanation:

Given that:

Dimensions of the rectangular board as:

Length of the board is 10 cm longer than its width.

Width of the board = 26 cm

Length of the board = 26 + 10 = 36 cm

The rectangular board is divided into 9 equal pieces.

To find:

Area of each piece and

the possible dimensions of each piece = ?

Solution:

First of all, let us calculate the area of bigger rectangular board.

Area of a rectangle is given by the following formula:

$Area = Length \times Width$

Area = 26 $\times$ 36 $cm^2$

Area of each smaller rectangle = $\frac{26\times 36}{9} = 104\ cm^2$

To find the possible dimensions, we need to find the factors of 104.

104 = 26 $\times$ 4

104 = 13 $\times$ 8

Therefore, the Possible dimensions are 26 cm by 4 cm

and

13 cm by 8 cm.

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3 years ago

Which typing time is the fastest? A. 320 words in 8 minutes; B. 600 words in 12 minutes; C. 350 words in 10 minutes; D. 225 word

Natasha2012 [34]

Answer:

B - 600 words in 12 minutes

Step-by-step explanation:

So most of this has to do with division. So let's look at answer one

320 words in 8 mins

320/8 = 40 words per minute.

600 words in 12 minutes

600/12 = 50 words per minute

350 words in 8 minutes

350/8 = 35 words per minute

And finally, 225 words in 5 minutes

225/5 = 45 words per minute. Thus, the answer is B

6 0

3 years ago

Read 2 more answers