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3 years ago

All of the following are equivalent, except _____.

Mathematics

2 answers:

algol [13]3 years ago

5 0

I believe it is 11x². I apologize if I´m wrong.

puteri [66]3 years ago

3 0

Everything except 11x2

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The dimensions of a rectangle are √50a^3b^2 and √200a^3. What is the students error?

bearhunter [10]

Answer:

The student incorrectly simplified $30ab\sqrt{2a}+20a\sqrt{2a}$ .

Thus, option D is correct.

Step-by-step explanation:

The formula to determine the Perimeter of a rectangle of width w and length l is expressed as:

$P = 2l + 2w$

In other words, the perimeter can be determined by multiplying the length and width by 2 and adding the result.

In our case, the dimensions of a rectangle are $\sqrt{50a^3b^2}$ and $\sqrt{200a^3}\:\:$ .

Here is the student's solution:

$2\sqrt{50a^3b^2}+2\sqrt{200a^3}=2\cdot 5ab\sqrt{2a}+2\cdot 10a\sqrt{2a}$

$=10ab\sqrt{2a}+20a\sqrt{2a}$

$=30ab\sqrt{2a}$

The student made an error in calculating $30ab\sqrt{2a}+20a\sqrt{2a}$ , because $30ab\sqrt{2a}+20a\sqrt{2a}$ are not like terms.

Hence, $30ab\sqrt{2a}+20a\sqrt{2a}$ can not be simplified to $30ab\sqrt{2a}$

Therefore, the student incorrectly simplified $30ab\sqrt{2a}+20a\sqrt{2a}$ .

Thus, option D is correct.

Here is the correct Solution:

$2\sqrt{50a^3b^2}+2\sqrt{200a^3}=2\cdot 5ab\sqrt{2a}+2\cdot 10a\sqrt{2a}$

$=10ab\sqrt{2a}+20a\sqrt{2a}$

7 0

3 years ago

Read 2 more answers

What are the mean absolute deviation and population standard deviation of this data set? Round to the nearest tenth if necessary

tekilochka [14]

Answer:

For a data set of N elements:

{x₁, x₂, ..., xₙ}

The mean is:

$M = \frac{x_1 + x_2 + ... + x_n}{N}$

The mean absolute deviation is:

$MAD = \frac{|x_1 - M| + ... + |x_n - M|}{N}$

And the population standard deviation is:

$PSD = \frac{\sqrt{|x_1 - M|^2 + ... + |x_n - M|^2} }{\sqrt{N}}$

In this case, our set has 5 elements, and the set is:

{2, 4, 6, 9, 14}

The mean of this set is:

$M = \frac{2 + 4 + 6 + 9 + 14}{5} = 7$

The mean absolute deviation is:

$MAD = \frac{|2 - 7| + |4 - 7| + |6 - 7|+ |9 - 7| + |14 - 7| }{5} = 3.6$

And the population standard deviation is:

$PSD = \sqrt{\frac{|2 - 7|^2 + |4 - 7|^2 + |6 - 7|^2+ |9 - 7|^2 + |14 - 7|^2 }{5}} = 4.2$

6 0

2 years ago

At Kennedy school there are 37 girls and 36 boys in the third grade.How many students are in the third grade at Kennedy School?

zubka84 [21]

37 + 36 = 73

There are 73 students in the third grade at Kennedy School.

4 0

3 years ago

HELPPP FOR BRAINELST RIGHT NOW PLEASE

Aliun [14]

Answer:

its 12

Step-by-step explanation:

F1= 12N F2 = 24 F3 = 12N and thats how u get 12 i think lol

3 0

2 years ago

Jenny charges $9.15 an hour to babysit toddlers and $7.45 an hour to babysit school-aged children, If jenny babysat toddlers for

Eduardwww [97]

She would earn $127.05 dollars for babysitting

4 0

3 years ago