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AlekseyPX
3 years ago
15

Correctly determine whether the following statement is true or false. 6²> (- 6) ²

Mathematics
1 answer:
Aleks [24]3 years ago
5 0

Answer:

False.

Step-by-step explanation:

6² >  (-6)²

36  >  36

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What is the justification for each step in the solution of the equation?
Alexandra [31]

For this case we have the following equation:

\frac{2}{3}x-\frac{1}{3}= 2 (x + 2)\\

If we multiply both sides of the equation by 3 we get:

2x-1 = 6 (x + 2) ---> Multiplication Property of Equality

Applying the distributive property we have:

2x-1 = 6x + 12 ---> Distributive Property

Adding 1 on both sides of equality we have:

2x-1 + 1 = 6x + 12 + 1\\

2x = 6x + 13 ---> Addition Property of Equality

Subtracting 6x on both sides we have:

-6x + 2x = 6x-6x + 13\\

-4x = 13 ---> Subtraction Property of Equality

Finally, dividing by -4 on both sides we have:

\frac{-4x}{-4}= \frac{13}{-4}\\

x = -\frac{13}{4}---> Division Property of Equality


5 0
3 years ago
Read 2 more answers
Geometry Helps please<br> (Only correct Answers only please) Thanks!
nlexa [21]

Answer:

301.44 cubic units

Step-by-step explanation:

volume \: of \: cone \\ \\   =  \frac{1}{3}\pi {r}^{2}  h \\  \\  =  \frac{1}{3}  \times 3.14 \times  {(6)}^{2}  \times 8 \\  \\  = \frac{1}{3}  \times 3.14 \times 36 \times 8  \\  \\  = 3.14 \times 12 \times 8 \\   \\ = 301.44 \:  {units}^{3}  \\  \\  \red{ \bold{volume \: of \: cone = 301.44 \:  {units}^{3}}}

7 0
3 years ago
Dylan hikes 90 miles in 3 days. At that rate, how many days does it take him to hike a total of 240 miles?
zysi [14]

Answer:

8 days

Step-by-step explanation:

90/3 = 30 mi/day

240/30 = 8 days

8 0
2 years ago
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Nancy prepared 12 kilograms of dough after working 6 hours. How much dough did Nancy prepare if she worked for 10 hours? Solve u
damaskus [11]

Answer:

20 kilograms of dough

Step-by-step explanation:

Given that;

12 kilograms working 6 hours

Rate = 12/6 kilogram per hour = 2 kilogram per hour

So,

In 10 hours he would produce;

Amount of dough = Time × rate

Time = 10 hours

= 10 hours × 2 kilograms per hour

= 20 kilograms of dough

6 0
3 years ago
Read 2 more answers
Select the correct answer. what is this series written in sigma notation? 2.5 2.5(1.2) 2.5(1.2)2 ⋯ 2.5(1.2)87 a. ∑ k = 1 87 2.5
Marat540 [252]

<u> ∑ k = 1 88 2.5 ⁢ ( 1.2 ) k</u><u>  is this series written in </u><u>sigma notation. </u>

What is the series written in sigma notation?

  • A series can be represented in a compact form, called summation or sigma notation.
  • The Greek capital letter, ∑ , is used to represent the sum. The series 4+8+12+16+20+24 can be expressed as 6∑n=14n .
  • The expression is read as the sum of 4n as n goes from 1 to 6 .

Given:

2.5 + 2.5(1.2) + 2.5(1.2)2 + ⋯ + 2.5(1.2)87

If we look at the power it is always one less the term i.e., for first term the value of k=0.

So, the series in the form of summation can be written as

∑ k = 1 88 2.5 ⁢ ( 1.2 ) k

Learn more about sigma notation

brainly.com/question/16701078

#SPJ4

8 0
1 year ago
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