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erma4kov [3.2K]
1 year ago
15

I need help simplify: 4^8/4^-4

Mathematics
1 answer:
LenKa [72]1 year ago
5 0

Answer:

4^{12}

Step-by-step explanation:

using the rule of exponents

\frac{a^{m} }{a^{n} } = a^{(m-n)} , then

\frac{4^{8} }{4^{-4} } = 4^{(8-(-4))} = 4^{(8+4)} = 4^{12}

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1 and 5/7 x 1/6 simplify
konstantin123 [22]

Answer:

0.286

Step-by-step explanation:

12/7 x 1/6

3 0
2 years ago
Pretty Pavers company is installing a driveway. Below is a diagram of the driveway they are
prohojiy [21]

Answer:

The most correct option is;

(B) 958.2 ft.²

Step-by-step explanation:

From the question, the dimension of each square = 3 ft.²

Therefore, the length of the sides of the square = √3 ft.

Based on the above dimensions, the dimension of the small semicircle is found by counting the number of square sides ti subtends as follows;

The dimension of the diameter of the small semicircle = 10·√3

Radius of the small semicircle = Diameter/2 = 10·√3/2 = 5·√3

Area of the small semicircle = (π·r²)/2 = (π×(5·√3)²)/2 = 117.81 ft.²

Similarly;

The dimension of the diameter of the large semicircle = 10·√3 + 2 × 6 × √3

∴ The dimension of the diameter of the large semicircle = 22·√3

Radius of the large semicircle = Diameter/2 = 22·√3/2 = 11·√3

Area of the large semicircle = (π·r²)/2 = (π×(11·√3)²)/2 = 570.2 ft.²

Area of rectangle = 11·√3 × 17·√3 = 561

Area, A of large semicircle cutting into the rectangle is found as follows;

A_{(segment \, of \, semicircle)} = \frac{1}{4} \times (\theta - sin\theta) \times r^2

Where:

\theta = 2\times tan^{-1}( \frac{The \, number \, of  \, vertical  \, squrare  \, sides  \ cut  \,  by  \  the  \  large  \,  semicircle}{The \, number \, of  \, horizontal \, squrare  \, sides  \ cut  \,  by  \  the  \  large  \,  semicircle} )

\therefore \theta = 2\times tan^{-1}( \frac{10\cdot \sqrt{3} }{5\cdot \sqrt{3}} ) = 2.214

Hence;

A_{(segment \, of \, semicircle)} = \frac{1}{4} \times (2.214 - sin2.214) \times (11\cdot\sqrt{3} )^2 = 128.3 \, ft^2

Therefore; t

The area covered by the pavers = 561 - 128.3 + 570.2 - 117.81 = 885.19 ft²

Therefor, the most correct option is (B) 958.2 ft.².

4 0
3 years ago
I need HELP ASAP! It’s due today
Vikki [24]

Answer:

28 cubs

Step-by-step explanation:

Since one and a half bear produces one and a half cub, then 6 bears will produce 6 cubs in one and a half days.

We need to find 7 days, though but we have the rate for six bears for 1.5 days which 6 bears one a half day.

What is the rate for a day?

6/1.5 =

6 bears produce 4 cubs a day.

Now just do 4 x 7

4 x 7 = 28

Therefore, 6 bears produce 28 cubs in 7 days.

8 0
3 years ago
Read 2 more answers
Nadia compares the weights, in grams, of some apples and oranges she find the median abs interquartile range of the weights.
choli [55]

Answer:

Apple

Orange

Step-by-step explanation:

Apple has the greater median with a median value of 150 which is more than that of orange at 130

The sample with the greater variability is the orange sample as the interquartile range value of 11 is greater Than 8 for Apple.

Yes it is possible, because of the greater variation on weight shown by the sample of oranges, then it could be possible.

3 0
3 years ago
Identify a pattern and fine the next number in the pattern.
aleksklad [387]
The answer is C cuz you're dividing by 3
3 0
3 years ago
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