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olya-2409 [2.1K]
3 years ago
10

Rewrite the following without an exponent. (-5)-2 (the -2 is the exponent)

Mathematics
1 answer:
yuradex [85]3 years ago
3 0

Answer: -5 x -5

The exponent two means the other number multiplied 2 times, so the equation is -5 x -5. The answer to the equation is -25.

Hope this helped you out!

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In a designated VIP seating section there must be an odd number of seats in each row and each row must have two more seats than
Vikki [24]

Let n be the total number of rows and there are x seats is the 1st row where x is an odd natural number.

As each row must have 2 more seats than the one before it, so

Number of seats in 2nd row = x+2

Number of seats in 3rd row = x+2+2=x+2x2

Number of seats in 4th row = x+2+2+=x+2x3

Similarly, the number of seats in (n-1)th row =x+2x(n-1)

the number of seats in n^{th} row, i.e last row  =x+2x n.

As the front row must have one-quarter of the total seats in the back 2 rows combined, so

x =\frac 1 4 ( x+2\times(n-1) + x+2\times n) \\\\\Rightarrow 4x=2x+4n-6 \\\\\Rightarrow 4x-2x=4n-6 \\\\\Rightarrow 2x=4n-6 \\\\\Rightarrow x=2n-3\cdots(i)

So, the number of seats in the 1st row, x, and the total number of seats, n, must satisfy the equation (i).

For x>0, n\geq 3.

So, for n=3 rows

The number of seats in the 1st row, x= 2x3-3=3.

The number of seats in the 2nd row, = 3+2=5 as in subsequent rows, there will be 2 more seats.

and the number of seats in the 3rd row (last row)=5+2=7.

n can have any integral values satisfying  n\geq 3.

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3 years ago
The expected lifetime of a television is 18 years with a standard deviation of 4. Use Chebychev's inequality to estimate the pro
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3 years ago
He purchased $12.00 worth of lemons and $4.00 worth of glasses to make the lemonade.
Allushta [10]

Answer:

<em>The minimum number of glasses of lemonade is 70</em>

Step-by-step explanation:

<u>Equations</u>

With the data provided, we can build a model for the profit that Michael gets for selling lemonade.

First, we set up the cost function. He purchased $12 in lemons and $4 in glasses. It makes a fixed cost of $16. He also spends $0.02 per glass of lemonade fot the sugar. Being x the number of glasses of lemonade Michael sells, the total cost is modeled by

C(x)=16+0.02x

The revenue for selling x glasses of lemonade is

R(x)=0.25x

The profit is

P(x)=R(x)-C(x)=0.25x-(16+0.02x)

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Solving for x

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7 0
3 years ago
What value of x is in the solution set of -2(3x + 2) &gt; -8x + 6?
n200080 [17]

Answer:

x > 5

Step-by-step explanation:

Given that:

= -2(3x + 2) > -8x + 6

 (negative sign before bracket will alter the internal signs when multiplied by each term)

= -6x - 4 > -8x +6

Taking x terms on left side and other constants on right side

= -6x + 8x > 6 +4

Signs will be changer for transferred terms

= 2x > 10

By Dividing both sides 2 we get

=x > 10/2

= x >5

5 0
3 years ago
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