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earnstyle [38]
3 years ago
12

Marcus daims that in the expression 3x + 3y, the terms 3x and 3y are like terms because both are variable terms and both have th

e same coefficient. Is Marcus correct? Explain​
Mathematics
1 answer:
kumpel [21]3 years ago
7 0

Answer:

Step-by-step explanation:

3x and 3y are not "like terms," despite having the same coefficient.

Like terms have the same variable. For example, 3x and 2x are like terms, so

3x+2x = 5x

You might be interested in
Many smartphones, especially those of the LTE-enabled persuasion, have earned a bad rap for exceptionally bad battery life. Batt
BartSMP [9]

Answer:

Null hypothesis: the variance in hours of usage for talking is not greater than the the variance in hours of usage for internet.

H_o: \sigma _1 ^2 \leq \sigma _2^2

Alternative hypothesis: the variance  in hours of usage for talking is  greater than the the variance in hours of usage for internet.

H_a : \sigma_1^2 > \sigma_2^2

\mathbf{s_ 1 =16.11}

\mathbf{s_2 = 7.98}

Step-by-step explanation:

Let x_1 and x_2 be the two variables that represents the battery life in hours for talking usage and battery life in hours for internet usage respectively.

The hypothesis can be formulated as:

Null hypothesis: the variance in hours of usage for talking is not greater than the the variance in hours of usage for internet.

H_o: \sigma _1 ^2 \leq \sigma _2^2

Alternative hypothesis: the variance  in hours of usage for talking is  greater than the the variance in hours of usage for internet.

H_a : \sigma_1^2 > \sigma_2^2

The standard deviation for the battery usage for talking is :

\bar x_1 = \dfrac{1}{n_1} \sum x_i  \\ \\ \bar x_1  = \dfrac{1}{12}(35.8 +22.4+...+35.5) \\ \\ \bar x_1 = \dfrac{241.2}{12}  \\ \\ \bar x_1 =20.1

The standard deviation Is:

s_ 1 = \sqrt{\dfrac{1}{n_1-1}\sum (x{_1i}-\bar x_i)^2}

s_ 1 = \sqrt{\dfrac{1}{12-1}\sum (35.8- 20.1)^2+ (35.5-20.1)^2}

s_ 1 = \sqrt{259.568}

\mathbf{s_ 1 =16.11}

The standard deviation for the battery life usage for the internet is :

\bar x_2 = \dfrac{1}{n_2} \sum x_{2i}

\bar x_2 = \dfrac{1}{10} (24.0+12.5+36.4+...+4.7})

\bar x_2 = \dfrac{115}{10}

\bar x_2 = 11.5

Thus; the standard deviation is:

s_2 = \sqrt{\dfrac{1}{n_2-1}(x_{2i}- \bar x_2)^2}

s_2 = \sqrt{\dfrac{1}{10-1}(24-11.5)^2+(4.7-11.5)^2}

s_2 = \sqrt{63.60}

\mathbf{s_2 = 7.98}

4 0
3 years ago
Can someone please help me with this problem:(
nikdorinn [45]

Answer:

graph using the points below

Step-by-step explanation:

plug in the x value

-2 -6

0 0

1 3

2 6

7 0
3 years ago
A chef prepared 100 plates of shrimp. There were 8 shrimp on each plate. How many shrimp did the chef prepare?
soldier1979 [14.2K]

Answer:

800 shrimp

Step-by-step explanation:

100 plates of shrimp

8 shrimp on each plate

100 × 8 = 800

= 800 shrimp were prepared by the chef

Hope this helps.

5 0
3 years ago
-37 4/5 divided by 4/5
AlladinOne [14]

Answer:

Step-by-step explanation:

-47.25

5 0
3 years ago
Read 2 more answers
What is the arithmetic mean of the following numbers?<br> 1,2, 10, 6, 4,4,6,3,1,4
sp2606 [1]

Answer:

The quadratic mean (rms) of a set of numbers is the square root of the sum of the squares of the numbers divided by the number of terms.











⎷

(

1

)

2

+

(

2

)

2

+

(

10

)

2

+

(

6

)

2

+

(

4

)

2

+

(

4

)

2

+

(

6

)

2

+

(

3

)

2

+

(

1

)

2

+

(

4

)

2

10

Step-by-step explanation:

One to any power is one.

√

1

+

(

2

)

2

+

(

10

)

2

+

(

6

)

2

+

(

4

)

2

+

(

4

)

2

+

(

6

)

2

+

(

3

)

2

+

(

1

)

2

+

(

4

)

2

10

Raise  

2

to the power of  

2

.

√

1

+

4

+

(

10

)

2

+

(

6

)

2

+

(

4

)

2

+

(

4

)

2

+

(

6

)

2

+

(

3

)

2

+

(

1

)

2

+

(

4

)

2

10

Raise  

10

to the power of  

2

.

√

1

+

4

+

100

+

(

6

)

2

+

(

4

)

2

+

(

4

)

2

+

(

6

)

2

+

(

3

)

2

+

(

1

)

2

+

(

4

)

2

10

Raise  

6

to the power of  

2

.

√

1

+

4

+

100

+

36

+

(

4

)

2

+

(

4

)

2

+

(

6

)

2

+

(

3

)

2

+

(

1

)

2

+

(

4

)

2

10

Raise  

4

to the power of  

2

.

√

1

+

4

+

100

+

36

+

16

+

(

4

)

2

+

(

6

)

2

+

(

3

)

2

+

(

1

)

2

+

(

4

)

2

10

Raise  

4

to the power of  

2

.

√

1

+

4

+

100

+

36

+

16

+

16

+

(

6

)

2

+

(

3

)

2

+

(

1

)

2

+

(

4

)

2

10

Raise  

6

to the power of  

2

.

√

1

+

4

+

100

+

36

+

16

+

16

+

36

+

(

3

)

2

+

(

1

)

2

+

(

4

)

2

10

Raise  

3

to the power of  

2

.

√

1

+

4

+

100

+

36

+

16

+

16

+

36

+

9

+

(

1

)

2

+

(

4

)

2

10

One to any power is one.

√

1

+

4

+

100

+

36

+

16

+

16

+

36

+

9

+

1

+

(

4

)

2

10

Raise  

4

to the power of  

2

.

√

1

+

4

+

100

+

36

+

16

+

16

+

36

+

9

+

1

+

16

10

Add  

1

and  

4

.

√

5

+

100

+

36

+

16

+

16

+

36

+

9

+

1

+

16

10

Add  

5

and  

100

.

√

105

+

36

+

16

+

16

+

36

+

9

+

1

+

16

10

Add  

105

and  

36

.

√

141

+

16

+

16

+

36

+

9

+

1

+

16

10

Add  

141

and  

16

.

√

157

+

16

+

36

+

9

+

1

+

16

10

Add  

157

and  

16

.

√

173

+

36

+

9

+

1

+

16

10

Add  

173

and  

36

.

√

209

+

9

+

1

+

16

10

Add  

209

and  

9

.

√

218

+

1

+

16

10

Add  

218

and  

1

.

√

219

+

16

10

Add  

219

and  

16

.

√

235

10

Cancel the common factor of  

235

and  

10

.

Tap for fewer steps...

Factor  

5

out of  

235

.

√

5

(

47

)

10

Cancel the common factors.

Tap for fewer steps...

Factor  

5

out of  

10

.

√

5

⋅

47

5

⋅

2

Cancel the common factor.

√

5

⋅

47

5

⋅

2

Rewrite the expression.

√

47

2

Rewrite  

√

47

2

as  

√

47

√

2

.

√

47

√

2

Multiply  

√

47

√

2

by  

√

2

√

2

.

√

47

√

2

⋅

√

2

√

2

Combine and simplify the denominator.

Tap for fewer steps...

Multiply  

√

47

√

2

and  

√

2

√

2

.

√

47

√

2

√

2

√

2

Raise  

√

2

to the power of  

1

.

√

47

√

2

√

2

1

√

2

Raise  

√

2

to the power of  

1

.

√

47

√

2

√

2

1

√

2

1

Use the power rule  

a

m

a

n

=

a

m

+

n

to combine exponents.

√

47

√

2

√

2

1

+

1

Add  

1

and  

1

.

√

47

√

2

√

2

2

Rewrite  

√

2

2

as  

2

.

Tap for fewer steps...

Use  

n

√

a

x

=

a

x

n

to rewrite  

√

2

as  

2

1

2

.

√

47

√

2

(

2

1

2

)

2

Apply the power rule and multiply exponents,  

(

a

m

)

n

=

a

m

n

.

√

47

√

2

2

1

2

⋅

2

Combine  

1

2

and  

2

.

√

47

√

2

2

2

2

Cancel the common factor of  

2

.

Tap for more steps...

√

47

√

2

2

1

Evaluate the exponent.

√

47

√

2

2

Simplify the numerator.

Tap for fewer steps...

Combine using the product rule for radicals.

√

47

⋅

2

2

Multiply  

47

by  

2

.

√

94

2

The result can be shown in multiple forms.

Exact Form:

√

94

2

Decimal Form:

4.84767985

…

4 0
3 years ago
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