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3 years ago

3^5 * 9^5 = 3^n Find n please

Mathematics

1 answer:

Vladimir [108]3 years ago

4 0

Answer:

In this equation n = 15

Step-by-step explanation:

In order to find this, we first must make each term a base 3. Since 9 is 3 squared, we can change it easily to base 3.

3^5 * 9^5 = 3^n

3^5 * (3^2)^5 = 3^n

3^5 * 3^10 = 3^n

3^15 = 3^n

Now that we have both in simple term of 3 raised to a power, we can eliminate the 3's and see that 15 = n

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Given that D, E, and F are the midpoints of their respective sides, which of the following is a true statement?

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3 years ago

A geologist examines 6 seawater samples for lead concentration. The mean lead concentration for the sample data is 0.903 cc/cubi

Gnesinka [82]

Answer:

Step-by-step explanation:

We want to determine a 95% confidence interval for the mean lead concentration of sea water samples

Number of samples. n = 6

Mean, u = 0.903 cc/cubic meter

Standard deviation, s = 0.0566

For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.

We will apply the formula

Confidence interval

= mean +/- z ×standard deviation/√n

It becomes

0.903 +/- 1.96 × 0.0566/√6

= 0.903 +/- 1.96 × 0.0566/2.44948974278

= 0.903 +/- 0.045

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The upper end of the confidence interval is 0.903 + 0.045 =0.948

Therefore, with 95% confidence interval, the mean lead concentration of the sea water is between 0.858 cc/cubic meter and 0.948 cc/cubic meter

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3 years ago

Marcy needs 150 feet of fabric for her project. She uses 20% of it. How many feet of fabric did she use for her project so far?

Nataliya [291]

Answer:

The answer is 120 feet of fabric

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2 years ago

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6 times the sum of a number and 12 is 114. what is the number?

grin007 [14]

Answer:

6 times the sum of a number and 12 is 114. The number is 17

Step-by-step explanation:

6 x 17 + 12= 114

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3 years ago

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A boundary stripe 6 in. wide is painted around a rectangle whose dimensions are 120 ft by 230 ft. Use differentials to approxima

Nimfa-mama [501]

Answer:

350 square feet

Step-by-step explanation:

We are given that

Width of strip=6 in

Dimension of rectangle= $20 ft\times 230 ft$

We know that

Area of rectangle ,A=xy

Differentiate

$dA=\frac{\partial A}{\partial x}x+\frac{\partial A}{\partial y}y$

We have $\frac{\partial A}{\partial x}=y=230 ft$

$\frac{\partial A}{\partial y}=x=120$

$dx=\frac{12}{12}=1 ft$

1 ft=12 in

Because 6 in added in both side of breadth

dy= $\frac{12}{12}=1 ft$

Because 6 in added on both sides of length of rectangle

Substitute the values

$dA=230\times 1+120\times 1=350 ft^2$

Hence, the number of square feet of paint in the strip=350 square feet

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3 years ago