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Sliva [168]
3 years ago
15

A circular plate has a diameter of 6 inches.

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
5 0
D. 9pi square inches

The formula for the area of a circle is <span>π x r^2
Since the diameter is 6, the radius (r) is 3
3^2 = 9
This times pi will give you the area of the plate
</span>
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Which shows the following expression using positive exponents?
Hitman42 [59]

Answer:

1. option B is correct i.e., \frac{-3a^{7}b^3b^1}{15a^{2}}

2. option D is correct i.e., \frac{a^3b^4}{ab^2}.

3. option B is correct i.e.,  \frac{n^{10}}{16m^{6}}.

Step-by-step explanation:

1. Since the given equation is:

\frac{-3a^{-2}b^3}{15a^{-7}b^{-1}}

As we know that a^{-x}=\frac{1}{a^x}

So, the given equation can be represented as:

\frac{-3a^{7}b^3b^1}{15a^{2}}


2. Given equation is:

\frac{a^3b^{-2}}{ab^{-4}}

As we know that a^{-x}=\frac{1}{a^x}

so the given equation can be represented as:

\frac{a^3b^4}{ab^2}.


3.  Given equation is:

(\frac{4mn}{m^{-2}n^6})^{-2}

by using the properties a^{-x}=\frac{1}{a^x},

and a^x\times a^y=a^{x+y}

(\frac{4mn}{m^{-2}n^6})^{-2}

= (\frac{4n^1n^{-6}}{m^{-2}m^{-1}})^{-2}

= (\frac{4n^{1+(-6)}}{m^{-2+(-1)}})^{-2}

= (\frac{4n^{-5}}{m^{-3}})^{-2}

= \frac{4^{-2}n^{-5\times (-2)}}{m^{-3\times (-2)}}

= \frac{n^{10}}{16m^{6}}.

which is option B.

5 0
3 years ago
Read 2 more answers
Answer which ever for 13 points!
nata0808 [166]
I'm pretty sure 12 is C
8 0
4 years ago
Read 2 more answers
When to fractions are between 0 1/2 how do you know which fraction is greater explain
shepuryov [24]
By creating a common denominator, you can compare different numbers to the same ratio. For example:
Take 2/3 and 3/4
Now 3/4 is the same as 9/12
And 2/3 is the same as 8/12
Now that they have the same denominator, you can tell that 9/12 is clearly greater than 8/12, meaning 3/4 is greater than 2/3.
5 0
3 years ago
(20 points) I need help please
-BARSIC- [3]

Answer:

The perimeter is 62ft

Step-by-step explanation:

5 + (6 x 4) + (2 x 8) + 17

5 + 24 + 16 + 17

29 + 33

62

7 0
3 years ago
A shipment of 20 DVDs has arrived at a video rental store. Based on past experience, the manager knows that 10% of all new DVDs
aleksley [76]

Answer:

The probability is 0.081

Step-by-step explanation:

Here, we want to calculate the probability that the 3rd inspection will be defective.

What this means is that the first two would

not be defective.

Probability of having a defective DVD = 10% = 10/100 = 0.1

Probability of not having a defective DVD = 1 -0.1 = 0.9

So the probability of third being defective = Probability of first not defective * Probability of second not defective * Probability of third defective

= 0.9 * 0.9 * 0.1 = 0.081

7 0
3 years ago
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