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2 years ago

When 27x^2z/-3x^2z^6 is completely simplified, the exponent on the variable z is _____.

1 answer:

7 0

The expression given (27x^2)z/(-3x^2)(z^6), can be simplify as below:

By properties of powers, if you have the same base, you can substract the exponents. Then:

=(27x^2)z/(-3x^2)(z^6)
=-9z/z^6 (As you can see: x^2-2= x^0=1)
=-9/z^5 (Then, z^6-1=z^5)

Therefore, the answer is: The exponent on the variable z is 5.

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one slice of cheese pizza contains 260 calories. a medium-size orange has one-fifth that number of calories. how many calories a

Flura [38]

1/5 •260=52 calories

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2 years ago

261, 256, 251, ... Find the 46th term

slava [35]

Answer:

46th term is 36.

Step-by-step explanation:

we need to subtract like this..

251-5=246,246-5=241.likewise the 46th term is 36

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2 years ago

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David wants to rent a bicycle for a couple of hours to explore the city. The price of the bike rental, (P)(P)left parenthesis, P

Mars2501 [29]

Answer:

The hourly charge is $4 per hour for the first 3 hours.

The rate then drops to $2 per hour until the end of the 6th hour.

The hourly rate drops further to $1 per hour between the 6th and 10th hours.

The maximum price of the bike rental is $30.

Step-by-step explanation:

The slope of the graph corresponds to the hourly rate for the bike rental.

During the first three hours of the bike rental, the price increases by $4 each hour.

Between the 3rd and 6 th hours, the slope of the graph is 2, which means the hourly rate of the bike rental is $2 per hour.

Between the 6th and 10th hours, the rate is $1 per hour.

After the 10th hour, the price, P, stops increasing. The maximum price of the bike rental is $30.

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2 years ago

At a high school, students can choose between three art electives, four history electives, and five computer electives. Each stu

dangina [55]

If one is to choose among given choices and the order is not important, we use the concept of combination. First, we calculate for the sample space or number available since there is a total number of 12 electives and a student may choose 2 out of them.
S = 12C2
That is "the sample space is equal to combination of 12 taken 2". The answer to this is equal to 66.

Next, we determine the number of outcomes. The equation will be,
O = (5C1) x (3C1)
That is "outcome is equal to combination of 5 taken 1 times combination of 3 taken 1". This is equal to 15. The probability is equal to,
P = O/S

Substituting,
P = (15/66) = 0.227270
The answer to this item is the third choice.

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1 year ago

Read 2 more answers

On this graph, 4:00 p.m. occurs at 16 hours after midnight, and 6:00 p.m. occurs at 18 hours after midnight. Which statements ar

KatRina [158]

Answer:

TRUE OPTIONS ARE:

"The temperature increased until 4:00 p.m. "

"The temperature decreased after 6:00 p.m. "

"The temperature increased more quickly between 12:00 p.m. and 4:00 p.m. than before 12:00 p.m."

Step-by-step explanation:

graph attached and complete question below:

Which statements are true about the temperatures Luis recorded on the graph? Check all that apply.

The temperature increased until 4:00 p.m.
The temperature was not recorded between 4:00 p.m. and 6:00 p.m.
The temperature decreased after 6:00 p.m.
The temperature increased and then decreased before holding constant.
The temperature increased more quickly between 12:00 p.m. and 4:00 p.m. than before 12:00 p.m.

Until 1600 hours, the graph increases, so we can say temperature increased until 4.00 pm (FIRST OPTION TRUE).

From 1600 to 1800 hours (4 - 6pm), the temperature stayed same (horizontal line). This doesn't mean the temperature wasn't recorded. (2nd OPTION FALSE).

After 1800 hours (6pm), the line goes downward, so temperature decreased after 6 pm. (3rd OPTION TRUE).

If you look at the temperature graph, we can see temperature increased, then increased more, then constant, then decreased. Thus the 4th option isnt true. (4th OPTION FALSE).

Before 12, the increase isn't as sharp as after 12. After 12 temperature increase has more slope, so this increase is more. (5th OPTION TRUE).

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2 years ago

Read 2 more answers