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igor_vitrenko [27]
3 years ago
15

What is the answer to this question

Mathematics
1 answer:
Gemiola [76]3 years ago
6 0

(6^-2 * 6^5)^-3


Raise each term by -3:

(6^-2)^-3 * (6^5)^-3 =

6^6 * 6^-15

Rewrite the second term using the negative exponent rule:


6^6 * 1/(6^15)


Subtract the exponents

15-6 = 9


The answer is 1 / 6^9  ( The second answer)


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The
stepan [7]

Answer:

Area = 129.5m^2

Perimeter = 48m

Step-by-step explanation:

Given

See attachment

Required

Determine the area and the perimeter of the garden

Calculating Area

First, we calculate the area\ of\ the\ rectangle

A_1 = L * B

Where:

L = 20-(3.5 +3.5)

B = 7

So:

A_1 = (20 - (3.5 + 3.5)) * 7

A_1 = (20 - 7) * 7

A_1 = 13 * 7

A_1 = 91

Next, we calculate the area of the two semi-circles.

Two semi-circles = One Circle

So:

A_2 = \pi r^2

Where

r = \frac{7}{2}

A_2 = \frac{22}{7} *  (\frac{7}{2})^2

A_2 = \frac{22}{7} *  \frac{49}{4}

A_2 = \frac{22}{1} *  \frac{7}{4}

A_2 = \frac{22*7}{4}

A_2 = \frac{154}{4}

A_2 = 38.5

Area of the garden is

Area = A_1 + A_2

Area = 91 + 38.5

Area = 129.5m^2

Calculating Perimeter

First, we calculate the perimeter of the rectangle

But in this case, we only consider the length because the widths have been covered by the semicircles

P_1 = 2 * L

Where:

L = 20-(3.5 +3.5)

So:

P_1 =2 * (20-(3.5 +3.5))

P_1 =2 * (20-7)

P_1 =2 * 13

P_1 =26

Next, we calculate the perimeter of the two semi-circles.

Two semi-circles = One Circle

So:

P_2 = 2\pi r

Where

r = \frac{7}{2}

P_2 = 2 * \frac{22}{7} * \frac{7}{2}

P_2 = \frac{2 * 22 * 7}{7 * 2}

P_2 = \frac{308}{14}

P_2 = 22

Perimeter of the garden is

Perimeter = P_1 + P_2

Perimeter = 26 + 22

Perimeter = 48m

8 0
3 years ago
What does 3 1/4 equal as an improper fraction
ValentinkaMS [17]

To find the answer to this, first, multiply the denominator by the whole number. So 3 times 4.

12+1/4

Next, add together the numerator to the value and put that number as the numerator.

Final Answer: 13/4

7 0
3 years ago
N the diagram below, k· l AC intersects nBDE at B. Choose Tr u e or False for each statement.
Andreas93 [3]
True false true cause look it up and you will figure it out
7 0
3 years ago
Find the value of y that satisfies the equation, 8.8y - 4 = 7.7y + 7.
ehidna [41]
8.8y-4=7.7y+7 \\ 8.8y-7.7y=7+4 \\ 1.1y=11 \\ y=11/1.1 \\ y=10-> answer D
3 0
3 years ago
Read 2 more answers
 There are 7 Democrats and 6 Republicans on a local city council. A planning committee of 6 for affordable housing needs to be
Brut [27]

Answer:

The probability is 0.383.

Step-by-step explanation:

There are 7 democrats and 6 republicans  

Number of ways in which 4 democrats and 2 republicans can be selected=\[{}^{7}{{C}_{4}}\times {}^{6}{{C}_{2}}\]

Number of ways in which 5 democrats and 1 republican can be selected= \[{}^{7}{{C}_{5}}\times {}^{6}{{C}_{1}}\]

Number of ways in which 6 democrats can be selected = \[{}^{7}{{C}_{6}}\]

So, favourable outcomes are \[{}^{7}{{C}_{4}}\times {}^{6}{{C}_{2}}+{}^{7}{{C}_{5}}\times {}^{6}{{C}_{1}}+{}^{7}{{C}_{6}}\]

Total possible outcomes =\[{}^{13}{{C}_{6}}\]

Now, probability=\[\frac{Favourable}{Possible}=\frac{{}^{7}{{C}_{4}}\times {}^{6}{{C}_{2}}+{}^{7}{{C}_{5}}\times {}^{6}{{C}_{1}}+{}^{7}{{C}_{6}}}{{}^{13}{{C}_{6}}}=0.383\]

Learn more about probability:

brainly.com/question/2561151?referrer=searchResults

7 0
3 years ago
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