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Umnica [9.8K]
3 years ago
9

Choose the correct simplification of the expression (-9a^3b^2c^10)^0

Mathematics
1 answer:
Flauer [41]3 years ago
8 0

Option C: 1 is the simplification of the expression \left(-9 a^{3} b^{2} c^{10}\right)^{0}

Explanation:

The given expression is \left(-9 a^{3} b^{2} c^{10}\right)^{0}

We need to simplify the given expression.

<u>Simplification:</u>

To simplify the given expression, let us apply the exponent rule, a^{0}=1 where a \neq 0

Thus, the the exponent rule a^{0}=1 means that any value (except zero) to the power of zero is equal to one.

Thus, the expression \left(-9 a^{3} b^{2} c^{10}\right)^{0} becomes,

\left(-9 a^{3} b^{2} c^{10}\right)^{0}=1

Therefore, the simplified expression is 1

Hence, Option C is the correct answer.

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You are designing an amusement park ride with cars that will spin in a circle around a center axis, and the cars are located at
Andrei [34K]

Answer:

144 people.

Step-by-step explanation:

Let n be the vertices, where cars are located.

We have been given that the sum of the measures of the angles' vertices is 6120°.

Let us find the number of vertices using formula:

\text{Sum of all interior angles of a polygon with n sides}=180(n-2).

Upon substituting the given sum of the measures of the angles in this formula we will get,

6120=180(n-2)

Using distributive property a(b+c)=a*b+a*c we will get,

6120=180n-360

Adding 360 to both sides of our equation we will get,

6120+360=180n-360+360

6480=180n

Upon dividing both sides of our equation by 180 we will get,

\frac{6480}{180}=\frac{180n}{180}

36=n

As the cars are located on the vertices of regular polygon, so there will be 36 cars in the ride.

We are told that each car holds a maximum of 4 people, so the number of maximum people who can ride at one time will be equal to 4 times 36.

\text{Maximum number of people who can be on the ride at one time}=4\times 36

\text{Maximum number of people who can be on the ride at one time}=144

Therefore, the maximum number of people who can be on the ride at one time is 144 people.

5 0
3 years ago
HELP HELP HELP<br><br> Just 5 quick algebra 1 questions for 100 points!
serious [3.7K]

1. x = a

2. y = b

3. The slope of a vertical line is undefined..

4. Change in y/change in x (m) or rise/run

5. Rewrite the equation in slope-intercept form to find the value of the y-intercept. The value of x will always be 0.

<h3>What is the Equation of a Line?</h3>

The equation, y = mx + b, in slope-intercept form, defines a line, where m is the slope and the y-intercept = b.

1. Slopes of vertical lines are always undefined, therefore, for a vertical line that contains (a, b), the equation would be: x = a.

2. Horizontal lines have a slope of 0, therefore, the equation of a horizontal line that contains the point, (a, b), will  be: y = b.

3. The slope of a vertical line is undefined.

4. Two ways of finding the slope if we are given two points on a line are:

Change in y/change in x (m) = y2 - y1 / x2 - x1

or

rise/run

5. If we have an equation in point-slope form, for example, y - 2 = 2(x - 4), rewrite the equation in slope-intercept form and find the value of the y-intercept:

y - 2 = 2x - 8

y = 2x - 8 + 2

y = 2x - 6

The y-intercept = -6, therefore, the coordinates of the y-intercept would be: (0, -6).

Learn more about the equation of a line on:

brainly.com/question/19417700

#SPJ1

8 0
1 year ago
Another one i need help with
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The length of each shape will be an even number.
4 0
3 years ago
Find the length of AB
marishachu [46]

Answer:

55?

Step-by-step explanation:

........................

7 0
3 years ago
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Jessica bakes 112 muffins in 7 batches. How many muffins does each batch contain?
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Solve 112 divided by 7 to find the number of muffins in each batch.

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3 years ago
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