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Goryan [66]
3 years ago
6

Which value is equivalent to 9^c x 9^-c A. 0 B. 1 C. 1/9^2C D. 9

Mathematics
1 answer:
AleksAgata [21]3 years ago
7 0

Answer:

B

Step-by-step explanation:

Using the rule of exponents

a^{m} × a^{n} = a^{(m+n)}

a^{0} = 1

Given

9^{c} × 9^{-c}

= 9^{(c-c)}

= 9^{0}

= 1 → B

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(26.6.1) Which of the following is an example of perpendicular lines?
Otrada [13]

Answer:

A.

Step-by-step explanation:

The hands on the clock at 9.00

6 0
3 years ago
There are 12 baseball trading cards in 4 packages. each package has the same number of cards. Write a rule in words for the numb
Tamiku [17]

Answer:

  • <u>Rule in words:</u>

        The number of packages Justin needs to buy to get x cards is x divided by 3.

  • <u>Rule as an algebraic expresssion:</u>

        y=x/3

Explanation:

This is a direct variation problem.

Since  each package has the same number of cards, the number of cards is proportional to the number of packages.

12 baseball cards in 4 packages means that there are 12/4 = 3 cards per package, so:

  • The number of cards is 3 times the number of packages.

  • The number of packages is the number of cards divided by the number of 3.

So, the <em>rule in words</em> for the number of packages Justin needs to buy x cards is one third of x. This table may help you to visualize it:

Number of packages:   1     2     3      4    5

Number of cards:          3     6     9    12    15

To find the <em>algebraic expression</em> that describes the same rule, you can set the following proportion:

\frac{12}{4} =\frac{x}{y}

Where y is the number of packages and x is the number of cards.

And from that you solve for y:

\frac{12}{4} =\frac{x}{y}\\ \\ 12y=4x\\ \\ y=4x/12\\ \\ y=x/3

8 0
4 years ago
What is a measurement 90 degrees called
romanna [79]
It would be a right angle
4 0
3 years ago
Read 2 more answers
Lukas plotted these points on the number line.
Reil [10]

Answer: Point A: −12 3

explanation: I hope that helps

5 0
3 years ago
What degree slope is a 16' ramp with a 35" rise
masha68 [24]

Answer:

10.5 Degree.

Step-by-step explanation:

The inclined length of the ramp is 16' i.e. 16 feet i.e. (16 × 12) = 192 inches.

And the rise of the ramp is 35" i.e. 35 inches.

We have to calculate the degree of slope from the above information.

If we consider the ramp as the hypotenuse of a right triangle, then the perpendicular height is 35 inches.

Then angle of slope is given by  

\sin \theta = \frac{Perpendicular}{Hypotenuse} = \frac{35}{192} = 0.182

⇒ \theta =\sin^{-1} (0.182)=10.5 degree. (Answer)

4 0
4 years ago
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