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mestny [16]
2 years ago
9

Match the expression to its simplified form.

Mathematics
1 answer:
omeli [17]2 years ago
4 0

Answer:

Step-by-step explanation:

5³ = 5 × 5 × 5 = 125

2^{5} = 2 × 2 × 2 × 2 × 2 = 32

5^{-2} = \frac{1}{5^{2} } = \frac{1}{25}

2^{-4} = \frac{1}{2^4} = \frac{1}{16}

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The sum of 5 consecutive odd numbers is 145. What is the third number in this sequence
vredina [299]

Answer: The 3rd number in the sequence is 29.

Step-by-step explanation: What we have is a sequence of “ODD” numbers and they are consecutive, which means they come one after another with regular intervals. We don’t have any of the numbers but we can start by saying ‘let x represent the first number in the sequence’

With this in mind, we can now assume all other four numbers in the sequence. Therefore if the 1st number is x, the 2nd number would be x + 2, and the the 3rd number would be x + 4, 4th number would be x + 6 while the 5th number would be x + 8.

The reason is that, every odd number is an addition of two to the previous odd number. For instance, if you start with 3, the next odd number would be 3+2 (5), and so on.

Therefore we can now write our consecutive odd numbers as follows;

x + (x + 2) + (x + 4) + (x + 6) + (x + 8)

Remember that all the numbers add up to 145. Therefore,

x + x + 2 + x +4 + x + 6 + x + 8 = 145

5x + 20 = 145

Subtract 20 from both sides of the equation

5x = 125

Divide both sides of the equation by 5

x = 25.

The first odd number is 25, which means the 3rd odd number is 25 + 4.

Therefore the 3rd odd number is 29.

5 0
3 years ago
What is the Mean of this question I need the answer ASAP
o-na [289]
Pretty sure the mean is 5
5 0
3 years ago
A laptop has a listed price of $899.98 before tax. If the sales tax rate is 7.25%, find the total cost of the laptop with sales
Tems11 [23]

Answer:

$965.23

Step-by-step explanation:

899.98 x .0725 = 65.25

899.98 + 65.25 = 965.23

- Hope this helps! If you need a further explanation please let me know.

3 0
3 years ago
What is the probability that both ties he chooses are solid white
4vir4ik [10]

Answer:

\frac{1}{25}

Step-by-step explanation:

Total outcome is 10

Favorable outcome is 2

The probability to choose solid white tie is \frac{1}{5}

The probability that both ties he chooses are solid white is

\frac{1}{5} × \frac{1}{5} = \frac{1}{25}

3 0
3 years ago
8x+5y=35 solve for y no work needed but you can show me the work if you want i will still look at it thank you in advance
solong [7]

Answer:

y=7-(8/5)x

Step-by-step explanation:

To solve for y we need to get Y on one side of the equation all by itself.  To start we can move the 8x to the side with the 35 by subtracting 8x on both sides which gets us to 5y=35-8x then we just need to get the 5 detached from the y and we will have solved for Y.  To do this we can divide by 5 on both sides to cancel out the 5 with the Y which leaves us with y=7-(8/5)x

I hope this helps and please don't hesitate to ask if there is anything still unclear!

4 0
3 years ago
Read 2 more answers
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