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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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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). A construction
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Answer:

y=\frac{11}{20}x+6

Step-by-step explanation:

Given:

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x = number of minutes

y = length of the lin

(x_{1},y_{1} ) ⇒ (0, 6)

(x_{2},y_{2} ) ⇒ (20, 17)

We need to find the equation that represents the relationship between x, y.

Solution:

Using slope formula to find the slope of the equation of the line.

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Substitute (x_{1},y_{1} ) = (0, 6) and (x_{2},y_{2} ) = (20, 17) in above equation.

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So, slope of the line m = \frac{11}{20}

Using point slope formula.

(y-y_{1})=m(x-x_{1}) ------------(1)

Where, m = slope of the line

Substitute (x_{1},y_{1} ) ⇒ (0, 6) and m = \frac{11}{20} in equation 1.

(y-6)=\frac{11}{20} (x-0)

y-6=\frac{11}{20}x

Add 6 both side of the equation.

y-6+6=\frac{11}{20}x+6

y=\frac{11}{20}x+6

Therefore, the equation that represents the relationship between x and y is written as:

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Nola was selling tickets at the high school dance. At the end of the evening she picked up the cash box and noticed a dollar lyi
Blizzard [7]

Answer:

The $1 belongs to the cash box

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine if the $1 belongs to the cash box or not

Represent singles with s and couples with c.

From the attachment, we have:

s + c = 47 --- total attendance

5s + 4c =200 --- ticket sold

Solve for s and c.

Make s the subject in (1)

s = 47-c

Substitute 47 - c for s in (2)

5(47 - c) + 4c = 200

Open bracket

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235 - c = 200

c = 235 - 200

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This means that the total individual which makes up the couples are 35. This is not possible because couples are in 2's and the total should be an even number.

<em>So, we can conclude that the $1 belongs to the cash box</em>

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