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Rudiy27
3 years ago
6

Explain the power of products property and give an example.

Mathematics
1 answer:
nalin [4]3 years ago
7 0

Answer:

(ab)^n = a

Step-by-step explanation:

It basically says to take the entire equation in the parentheses and multiply by the exponent, sorry for the horrible handwriting

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You bought a two liter container of cooking oil for $2.50. What is the cost per liter?
bearhunter [10]

Answer:

$1.25

Step-by-step explanation:

$2.50 / 2 = $1.25 per liter

4 0
3 years ago
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Find the area of a circle with a diameter of 16
jenyasd209 [6]

Answer:

201.06

Step-by-step explanation:

Area of circle: A=\pi r^2

r = 1/2d = 1/2(16) = 8

\pi *8^2 = 201.06

3 0
2 years ago
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Which expression is the simplest form of...
Lemur [1.5K]

Answer:

The answer is option A

Step-by-step explanation:

<h3>( {x}^{ -  \frac{4}{7} } )^{7}</h3>

Using the rules of indices

That's

<h3>( { {a}^{x} })^{y}  =  {a}^{x \times y}</h3>

Simplify the expression

We have

<h3>( { {x}^{ -  \frac{4}{7} } })^{7}  =  {x}^{ -  \frac{4}{7} \times 7 }   \\  =  {x}^{ - 4}</h3>

Again using the rules of indices

That's

<h3>{x}^{ - y}  =  \frac{1}{ {x}^{y} }</h3>

The final answer is

<h3>\frac{1}{ {x}^{4} }</h3>

Hope this helps you

5 0
3 years ago
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Given: mAngleEDF = 120°; mAngleADB = (3x)°; mAngleBDC = (2x)° Prove: x = 24 3 lines are shown. A line with points E, D, C inters
N76 [4]

Answer:

" Vertical angles are congruent " ⇒ 2nd answer

Step-by-step explanation:

* <em>Look to the attached figure </em>

- There are three lines intersected at point D

- We need to find the missing in step 3

∵ Line FA intersects line EC at point D

- The angles formed when two lines cross each other are called

 vertical angles

- Vertical angles are congruent (vertical angles theorem)

∴ ∠ADC and ∠FDE are vertical angles

∵ Vertical angles are congruent

∴ ∠EDF ≅ ∠ADC

∴ m∠EDF ≅ m∠ADC

∵ m∠EDF = 120° ⇒ given

∵ m∠ADC = m∠ADB + m∠BDC

∴ m∠ADB + m∠BDC = 120°

∵ m∠ADB = (3x)° ⇒ given

∵ m∠BDC = (2x)° ⇒ given

∴ 3x + 2x = 120 ⇒ add like terms

∴ 5x = 120 ⇒ divide both sides by 5

∴ x = 24

Column (1)                                                     Column (2)

m∠EDF = 120°                                               given

m∠ADB = 3 x                                                 given

m∠BDC = 2 x                                                 given

∠EDF and ∠ADC are vertical angles           defin. of vert. ∠s

∠EDF is congruent to ∠ADC                        vertical angles are      

                                                                        congruent  

m∠ADC = m∠ADB + m∠BDC                        angle add. post.

m∠EDF = m∠ADC                                          defin. of cong.

m∠EDF = m∠ADB + m∠BDC                         substitution

120° = 3 x + 2 x                                               substitution

120 = 5 x                                                         addition

x = 24                                                              division  

∴ The missing reason is " vertical angles are congruent "

- From the explanation above ∠ADC and ∠FDE are vertical

 angles then they are congruent according to vertical angle

 theorem

6 0
3 years ago
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If ƒ={(5, 1),(6, 2),(7, 3),(8, 1),(9, 7)}, then the range of ƒ is {(1, 5),(2, 6),(3, 7),(1, 8),(7, 9)} {1, 2, 3, 7} {5, 6, 7, 8,
navik [9.2K]

Answer:

{1,2,3,7}

Step-by-step explanation:

The range of a relation is the set of y-values of the ordered pairs.

The given relation is:

ƒ={(5, 1),(6, 2),(7, 3),(8, 1),(9, 7)},

The set of y-values of the given ordered pairs are;

{1,2,3,7}

Therefore the range of y is {1,2,3,7}

5 0
3 years ago
Read 2 more answers
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