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2 years ago

Simplify (This is a fraction) : 9^6 over 9^7

Mathematics

1 answer:

trapecia [35]2 years ago

3 0

when 2 exponents of like bases are divided, you can subtract the exponents

1. $\frac{9^6}{9^7} = \frac{1}{9}$

2. $\frac{9^2}{9^7} = \frac{1}{9^5}$

3. $9^5 = 9^5$

4. $\frac{1}{9^9} = \frac{1}{9^9}$

5. negative exponents mean move to opposite sides, so

$\frac{1}{9^{-5}} = \frac{9^5}{1}=9^5$

6. $\frac{1}{9^5} = \frac{1}{9^5}$

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A venue plans to host trucking events regularly throughout the year. The expected revenue from each event is $100,000. The cost

NikAS [45]

Answer:

47 meetings

Step-by-step explanation:

1. You know the company generates 100,000 dollars in profits, and pays 50,000 dollars to host the event, therefore, subtract both numbers to determine how much profit they make.

100,000 - 50,000 = 50,000 dollars

2. You now know that company generates 50,000 dollars in profits for each meeting

3. You also know that the company is aiming for a profit of 2.35 million, so you would divide the the goal by the total profits per meeting

2,350,000/50,000 = 47

It takes 47 meetings for the company to reach their goal.

4 0

3 years ago

What caused the great number of native American deaths?

Alex_Xolod [135]

Native American deaths were mainly caused by the introduction of new diseases and weapons brought mainly by Europeans.

4 0

3 years ago

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Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit

Mademuasel [1]

Answer:

$y = -\frac{2}{3}x + 490$

gradient = = $-\frac{2}{3}$

y-intercept = $490$

Step-by-step explanation:

• The slope-intercept form of an equation takes the general form:

$\boxed{y = mx + c}$ ,

where:

m = slope,

c = y-intercept.

• We are given the equation:

$2x + 3y = 1470$

To change this into the slope-intercept form, we must make y the subject:

$3y = -2x + 1470$ [subtract $2x$ from both sides]

⇒ $y = -\frac{2}{3}x + \frac{1479}{3}$ [divide both sides by 3]

⇒ $y = -\frac{2}{3}x + 490$

• Comparing this equation with the general form equation, we see that:

m = $-\frac{2}{3}$

c = $490$ .

This means that the gradient is $\bf -\frac{2}{3}$ , and the y-intercept is $\bf 490$ .

6 0

2 years ago

Multiply or divide to find two equivalent fractions of 1/2

patriot [66]

Answer:

3/6 and 5/10

Explanation:

Given the fraction 1/2:

(a)Multiply the numerator and denominator by 3

$\frac{1}{2}\times\frac{3}{3}=\frac{3}{6}$

An equivalent fraction is 3/6.

(b)Multiply the numerator and denominator by 5:

$\frac{1}{2}\times\frac{5}{5}=\frac{5}{10}$

An equivalent fraction is 5/10.

4 0

1 year ago

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Square T was translated by the rule (x + 2, y + 2) and then dilated from the origin by a scale factor of 3 to create square T″.

Delicious77 [7]

Answer: OPTION C.

Step-by-step explanation:

It is important to know the following:

Dilation:

Transformation in which the image has the same shape as the pre-image, but the size changes.

Dilation preserves betweenness of points.

Angle measures do not change.

Translation:

Transformation in which the image is the same size and shape as the pre-image.

Translation preserves betweenness of points.

Angle measures do not change.

Therefore, since the Square T was translated and then dilated to create Square T'', we can conclude that the statement that explains why they are similar is:

Translations and dilations preserve betweenness of points; therefore, the corresponding sides of squares T and T″ are proportional.

6 0

3 years ago

Read 2 more answers