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lisabon 2012 [21]
3 years ago
6

Which choice is equivalent to the expression below? 6 + 18+3 square root 3- 3 square root 2​

Mathematics
1 answer:
Temka [501]3 years ago
4 0

Answer: D: 3\sqrt{3} +\sqrt{6}

Step-by-step explanation:

\sqrt{6}+\sqrt{18}  +3\sqrt{3}-3\sqrt{2}  = \sqrt{6}+3\sqrt{3}  \\( 7.64 in alternative form )

3\sqrt{3} +\sqrt{6} = 7.64

***If you found my answer helpful, please give me the brainliest, please give a nice rating, and the thanks ( heart icon :) ***

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List the following elements in proper set notation. Place the elements in numerical order within the set. 0, 1, 123, 4, 34
forsale [732]

Answer:

{0, 1, 4, 34, 123}

Step-by-step explanation:

{0, 1, 4, 34, 123}

8 0
3 years ago
The city of Madison regularly checks the quality of water at swimming beaches located on area lakes. Fifteen times the concentra
Maksim231197 [3]

Answer:

The sample standard deviation is 393.99

Step-by-step explanation:

The standard deviation of a sample can be calculated using the following formula:

s=\sqrt[ ]{\frac{1}{N-1} \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }

Where:

s= Sample standart deviation

N= Number of observations in the sample

{\displaystyle \textstyle {\bar {x}}}= Mean value of the sample

and \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} } simbolizes the addition of the square of the difference between each observation and the mean value of the sample.

Let's start calculating the mean value:

\bar {x}=\frac{1}{N}  \sum_{i=1}^{N}x_{i}

\bar {x}=\frac{1}{15}*(180+1600+90+140+50+260+400+90+380+110+10+60+20+340+80)

\bar {x}=\frac{1}{15}*(3810)

\bar {x}=254

Now, let's calculate the summation:

\sum_{i=1}^{N}(x_{i}-\bar {x}) ^{2} }=(180-254)^2+(1600-254)^2+(90-254)^2+...+(80-254)^2

\sum_{i=1}^{N}(x_{i}-\bar {x}) ^{2} }=2173160

So, now we can calculate the standart deviation:

s=\sqrt[ ]{\frac{1}{N-1} \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }

s=\sqrt[ ]{\frac{1}{15-1}*(2173160)}

s=\sqrt[ ]{\frac{2173160}{14}}

s=393.99

The sample standard deviation is 393.99

3 0
4 years ago
Tell whether the given side lengths form a right triangle.<br> 6, 11, 16
Lubov Fominskaja [6]

Given:

The lengths of the sides of a triangle are 6, 11, 16.

To find:

Whether the given triangles is a right angle triangle or not.

Solution:

Pythagoras theorem:

Hypotenuse^2=Perpendicular^2+Base^2

A triangle is a right angle triangle if the sum of squares of two smaller sides is equal to the square of the largest sides.

In the given triangle the length of the largest side is 16.

Square of the largest sides is:

16^2=256

Sum of the squares of the two smaller sides is:

6^2+11^2=36+121

6^2+11^2=157

Since 6^2+11^2\neq 16^2, therefore the given triangle is not a right angle triangle.

5 0
3 years ago
What does this equal #2 please help need to know now
Otrada [13]
7 do multiplication and division before addition and subtraction
7 0
4 years ago
Read 2 more answers
A baboon steals an apple and runs to a nearby boulder 10.0 m to its left. The baboon reaches the boulder in 1.0s with a constant
liq [111]

Answer:

Initial velocity is zero.

Step-by-step explanation:

According to second equation of motion

    s=ut+\frac{1}{2} at^2

where s = distance traveled  

           t = time taken

          a = acceleration

          u = initial velocity

here in the question we have

      s = 10 m

     t = 1 second

    a = 20ms^{-2}

plugging the known value in order to find the unknown which is u (initial velocity)

[tex]10=u(1)+\frac{1}{2} (20)(1)^2[/tex

10 = u +10

gives u =0

therefore initial velocity is zero.

4 0
3 years ago
Read 2 more answers
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