simplify each of the following.
[tex](2 \sqrt{3 + \sqrt{2)}{2} [/tex]
​

Answer:

D

Step-by-step explanation:

The graph has vertical asymptotes x = 1 and x=2. It means that the denominator is approaching zero when x is close to 1 or x close to 2. Hence the denominator has factor x -1 and x-2 and D is the only option to have that.

Answer: C.Trapezoid

Step-by-step explanation: I got it correct on pearson

9514 1404 393

Answer:

  B.  2 x (6 + 9) = (2 x 6) + (2 x 9)

Step-by-step explanation:

The distributive property says the product is the sum of the products of the outside factor with each of the terms inside parentheses. In generic form:

  a(b +c) = ab +ac

Here, we have a=2, b=6, c=9.

  2(6 +9) = 2(6) +2(9)

Answer:

-3

Step-by-step explanation:

There are 8 possibilities when flipping three coins and the possibility of getting all heads is 1 out of 8.

1. h h h

2. h h t

3. h t h

4. h t t

5. t t t

6. t t h

7. t h t

8. t h h

Therefore the probability is:1/8

There are zero number of outliers in data set.

The [tex]1.5[/tex] IQR rule for outliers says that any data point below [tex]Q_{1} -1.5\ IQR[/tex] is a low outlier. or lower than this are a low outliers.

And,

[tex]IQR=Q_{3} -Q_{1}[/tex]

We have,

[tex]Q_{1}= 275[/tex]

[tex]Q_{3} = 933[/tex]

Minimum [tex]= 1[/tex]

Maximum [tex]= 2596[/tex]

Median [tex]= 533[/tex]

Now,

[tex]IQR=Q_{3} -Q_{1}[/tex]

IQR [tex]=933-275=658[/tex]

So,

[tex]Q_{1} -1.5\ IQR[/tex]

[tex]=275-1.5*658[/tex]

[tex]=-712[/tex]

So, any data point lower than this is the low outlier.

As we see the given histogram, there is no point below this outlier so, in the given histogram there is no low outlier.

Hence, we can say that here are zero number of outliers in data set.

To know more about IQR rule for outliers click here

https://brainly.com/question/18543697

#SPJ3

Answer:

The correct answer is 3.

Step-by-step explanation:

Answer:

2nd - (w - 5)(w + 5)

4th - (-4v - 9)(-4v + 9)

Step-by-step explanation:

1. The first option shows an expression multiplied by its opposite(x -1), so therefore, it does not show the difference of squares

2. The second option does show the difference of squares because it is in the form (a + b)(a - b)

3. The third option is just a square because the same expression is multiplied by itself.

4. The fourth option is the difference of squares because it is in the form (a + b)(a - b). a equals -4v and b equals 9 in this case.

5. The fifth option is not the difference of squares. No term in common in both expressions

6. The sixth option is just a square because the same expression is multiplied by itself.

In all, there are two options that are the difference of squares, the 2nd and 4th.

Answer:

3

Step-by-step explanation:

This is a classic puzzle!  If you pick out three socks, and they have only 2 colors, you'll get at least one match because they can't be 3 different colors.

Answer:

since M lies between point A and B , we came to know that,

M(4,6) =(x,y)

A(-2,-1)=(x1 ,y1)

B( _, _ )=(x2,y2)

Now using mid point formula,

x=x1×x2÷2 y=y1+y2÷2

so, point B is (10,13)

Answer:

3:1

Step-by-step explanation:

In this classroom, there are three times as many boys as girls. This means that for every 1 girl there are 3 boys. This can be represented in the ratio, 3:1. The 3 represents the number of boys and the 1 is the girl. This ratio can also be applied to real-life questions. For example, in a class of 20, there would be 15 boys and 5 girls, 15:5. In this case, there are 3 times more boys than girls, just like in the statement.

Answer:

A. True

B. False

Step-by-step explanation:

B is false because rational numbers have either repeating decimals or numbers that come to an end.

Answer:

20

Step-by-step explanation:

hope it's helpful

THANK YOU

Answer:

Step-by-step explanation:

Answer as a fraction = 439/937

Answer as a decimal = 0.469

===================================================

Explanation:

He made 439 baskets out of 937 attempts. So we simply form the fraction 439/937. The number of makes or successes is up top, while the number of attempts is at the bottom. The order is important.

Both 439 and 937 are prime numbers. This means the faction 439/937 cannot be reduced. So we leave it as is.

----------------

You can use a calculator or long division to find that

439/937 = 0.4685

which is approximate. Rounding to the nearest thousandth (i.e. 3 decimal places) will lead us to 0.469

If we were to move the decimal 2 spots to the right, then we convert to percent form and that's roughly 46.9%

9514 1404 393

Answer:

  3 feet

Step-by-step explanation:

The equation with all the parameters filled in is ...

  f(t) = -16t² +8t +2

The maximum height occurs at the vertex of the function, which can be written in vertex form as ...

  f(t) = -16(t² -1/2t) +2

  f(t) = -16(t² -1/2t +1/16) +2 +16(1/16)

  f(t) = -16(x -1/4)² +3

The vertex of the graph is (1/4, 3), so the maximum height is 3 feet.

Answer:

Martha wrote 6 2,000-word essays.

Step-by-step explanation:

15,000 (words total) - 3,000 (3 1,000-word essays) = 12,000 (words left for the 2,000-word essays).

Since the rest of the essays were 2,000 words, we can divide 12,000 by 2,000 to get 6.

Answer:

Longer Leg = 5

Shorter Leg = 144

Hypotenuse = 169

Step-by-step explanation:

Answer:

300,000 + 4,000 + 10 + 5

Step-by-step explanation:

Write down what everything is worth.

The 3 is worth 300,000 since it's in the hundred thousands place

The 0 is worth nothing so write nothing

The 4 is worth 4,000 since it's in the thousands

The 0 is worth nothing so write nothing

The 1 is worth 10 since it's in the tens place

The 5 is worth 5 since it's in the ones place

Answer:

1 1/4

Step-by-step explanation:

25/20=5/4=1 1/4

Hope this helps, thanks!

Answer:

Step-by-step explanation:

x - first

x + 12 - second

x + (x + 12) = 44

2x=44-12

x=16

first number is 16

second number is 16+12=28

two numbers are 16 and 28

16 and 28 are the required two numbers when one number exceeds another by 12 and their sum is 44

One number exceeds another by 12 and their sum is 44

We need to find the two numbers

Two expressions with equal sign is called equation.

Let x be the first number

x + 12 be the  second number

x + (x + 12) = 44

2x=44-12

x=16

Therefore first number is 16

second number is 16+12=28

To learn more about solving equation click here: https://brainly.com/question/24638714

#SPJ2

Step-by-step explanation:

[tex]\overline{CA} + \overline{AT} = \overline{CT}[/tex]

Since A is the midpoint, then [tex]\overline{CA} = \overline{AT}.[/tex] Therefore, we can write

[tex]2x + 8 = 4x + 2 \Rightarrow x = 3[/tex]

Using this value for x, we can write

[tex]\overline{CT} = \overline{CA} + \overline{AT}[/tex]

[tex]\:\:\:\:\:\:\:\:= (2x + 8) + (4x + 2)[/tex]

[tex]\:\:\:\:\:\:\:\:= 2(3) + 8 + 4(3) + 2 = 28[/tex]

Answer:

3x°+2x°+30°=180°

5x= 180-30

5x=150

x=30°

Answer:

0.160573

Step-by-step explanation:

Answer:

The new image will be 3x bigger than the original image.

Answer:

4x-9

Step-by-step Explanation:

Answer:

[tex] \frac{ \sqrt{5x} }{5x} [/tex]

Step-by-step explanation:

[tex] \frac{1}{ \sqrt{x5} } [/tex]

[tex] = \frac{1}{ \sqrt{5x} } [/tex]

[tex] = \frac{1}{ \sqrt{5x} } \times \frac{ \sqrt{5x} }{ \sqrt{5x} } [/tex]

[tex] = \frac{1 \sqrt{5x} }{ \sqrt{5x \sqrt{5x} } } [/tex]

[tex] = \frac{\sqrt{5x} }{ \sqrt{5x \sqrt{5x} } } [/tex]

[tex] = \frac{ \sqrt{5x} }{5x} [/tex]

Answer:

A) 18.3

Step-by-step explanation:

Since adding b and a gives 19.

c must be less than 19.

So, A) 18.3 is the correct answer

We know that the sum of measure of any two sides of a triangle is greater than the third Angle.

So, in this case,

Now, here only 19 is only greater than 18.3 from the options. Hence, 18.3 is the correct answer.

Answer:

Answer is 4 I think!!