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pishuonlain [190]
3 years ago
6

Consider the expression. What is the result of applying the quotient of powers rule to the expression?

Mathematics
2 answers:
fenix001 [56]3 years ago
8 0

Answer:

Let us consider the expression:

\frac{a^5\cdot b^6}{a^2\cdot b^9}     (1)

Now, the quotient of power rules says that the numbers that have same base can be find by subtracting if powers are with same sign

And adding if powers are with opposite sign.

We will solve equation (1) by this quotient of power rule.

So, it can be rewritten as:

a^{5-2}\cdot b^{6-9}

\Rightarrow a^{3}\cdot b^{-3}.

 

Harlamova29_29 [7]3 years ago
7 0

If were talking about this equation

Then the answer on edg is C

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Alexandra [31]

Answer:

22 for num 5

Step-by-step explanation:

8 0
2 years ago
While visiting friends in Brookfield, Janet bought a bike lock that was marked down 20% from an original price of $8.75. If the
Shtirlitz [24]

Answer:

7.49

Step-by-step explanation:

Well first you have to find how much the bike lock cost.

8.75 x 0.2

1.75 = how much 20% of 8.75 is

8.75-1.75

7 = the cost of the bike lock with the 20% markdown

Now you have to find the sales tax.

7 x 0.07

0.49

7 + 0.49

7.49 = total cost with all the stuff

Hopefully this was helpful. There is a shorter method too tho.

3 0
3 years ago
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Art [367]
JIH= QRP
they’re the same shape.
4 0
3 years ago
Pls help
KATRIN_1 [288]

Answer:

169.04 in² (nearest hundredth)

Step-by-step explanation:

Surface area of a cone = \pir² + \pirl

(where r = radius of the base and l = slant height)

Given slant height l = 10 and surface area = 188.5

Surface area  = \pir² + \pirl

188.5 = \pir² + 10\pir

\pir² + 10\pir - 188.5 = 0

r = \frac{-10\pi +\sqrt{(10\pi )^2-(4\times\pi \times-188.5)} }{2\pi } = 4.219621117...

Volume of a cone = (1/3)\pir²h

(where r = radius of the base and h = height)

We need to find an expression for h in terms of l using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height

r² + h² = l²

h² = l² - r²

h = √(l² - r²)

Therefore, substituting found expression for h:

volume of a cone = (1/3)\pir²√(l² - r²)

Given slant height l = 10 and r = 4.219621117...

volume = 169.0431969... = 169.04 in² (nearest hundredth)

5 0
2 years ago
Read 2 more answers
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agasfer [191]

Answer:

x<1

Step-by-step explanation:

You would just subtract 5 from both sides of the equation. The sign does not flip because you are not multiplying or dividing any negative number across the sign.  So simply x+5 (-5) < 6 (-5). On the left side the 5 would cancel out.  on the other side 6-5 is equal to 1.

Answer:  x<1

3 0
2 years ago
Read 2 more answers
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