simplify 3 square root of 2 minus square root of 2

Simplify 3 Square Root Of 2 Minus Square Root Of 2

Answers

Answer 1
The answer is C because when you have similar radicals, you subtract the whole numbers. In this case 3 square root of 2 minus square root of 2, is doing 3 - 1 = 2.
2 square root of 2

Related Questions

if the surface area of two smilar spheres is 256 feet and 576 feet, what is the ratio of the volume of the smaller sphere to the volume of the largee sphere

Answers

[tex]\bf \qquad \qquad \textit{ratio relations} \\\\ \begin{array}{ccccllll} &\stackrel{ratio~of~the}{Sides}&\stackrel{ratio~of~the}{Areas}&\stackrel{ratio~of~the}{Volumes}\\ &-----&-----&-----\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array}\\\\ -----------------------------[/tex]

[tex]\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\ -------------------------------\\\\ \cfrac{smaller}{larger}\qquad \cfrac{s}{s}=\cfrac{\sqrt{256}}{\sqrt{576}}\implies \cfrac{s}{s}=\cfrac{16}{24}\implies \cfrac{s}{s}=\stackrel{simplified}{\cfrac{2}{3}}[/tex]

The ratio of the volume of the smaller sphere to the volume of the larger sphere, given their surface areas are 256 ft² and 576 ft², is 8:27.

The student has asked about finding the ratio of the volumes of two similar spheres given their surface areas. The surface areas are 256 ft² and 576 ft². To find the volume ratio, we need to use the fact that the ratio of the surface areas of similar spheres is the square of the ratio of their radii, and thus the ratio of the volumes will be the cube of the ratio of their radii.

Let's denote the surface areas as S₁ and S₂, and the volumes as V₁ and V₂. Then, S₁:S₂ = (radius of smaller sphere)² : (radius of larger sphere)² and V₁:V₂ = (radius of smaller sphere)³ : (radius of larger sphere)³.

First, we find the square root of the surface area ratios: [tex]\sqrt{\frac{256}{576} }[/tex] = [tex]\frac{16}{24}[/tex] = [tex]\frac{2}{3}[/tex]. Then, taking the cube of [tex]\frac{2}{3}[/tex] gives us the volume ratio V₁:V₂ = [tex](\frac{2}{3} )^3[/tex] = [tex]\frac{8}{27}[/tex].

Therefore, the ratio of the volume of the smaller sphere to the volume of the larger sphere is 8:27.

Which summation formula represents the series below?

13 + 9 + 5 + 1

Answers

The sum of the series is 28.

The series 13 + 9 + 5 + 1 is an arithmetic series with a common difference of -4. To express this in summation (sigma) notation and find its sum, we first identify the first term (a1) as 13 and the common difference (d) as -4.

Next, we determine the number of terms (n). The series decreases by 4 each time, so we find the number of steps it takes to go from 13 to 1, which are 4 terms in total (13, 9, 5, 1).

We can write the summation formula for an arithmetic series as Sn = n/2 * (2a1 + (n-1)d), where Sn is the sum of the first n terms. With n = 4, a1 = 13, and d = -4, we plug these into the formula:

S4 = 4/2 * (2(13) + (4-1)(-4))

S4 = 2 * (26 - 12)

S4 = 2 * 14

S4 = 28

The sum of the series is 28.

A triangle has interior angles measuring 40 and 52. Which triangle are similar to this triangle? select true or false for each triangle.

Answers

The first 2 are false, the second 2 are both true.  Because all the angles in a triangle have to add up to equal 180, then 40 + 52 + 88 = 180.  Therefore, the combinations of 52 and 88 and 40 and 88 fit correctly.  92 doesn't fit at all.  It's too big.
The three angles of a triangle need to equal 180 degrees.
 If you have a triangle with 40 and 52, then the third angle is 180 - 40 - 52 = 88 degrees.
 

Any triangle that has at least two of the three angles ( 40 , 52 and 88) will be similar

1. FALSE
2. FALSE
3. TRUE
4. TRUE

Sam and Brett share £54 in the ratio of 5:4 how much does each person get

Answers

in short, we split 54 by (5+4) and give 5 pieces of that quotient to Sam and 4 pieces of it to Brett, 

[tex]\bf \cfrac{Sam}{Brett}\qquad 5:4\qquad \cfrac{5}{4}\qquad \qquad \cfrac{5\cdot \frac{54}{5+4}}{4\cdot \frac{54}{5+4}}\implies \cfrac{5\cdot 6}{4\cdot 6}\implies \cfrac{30}{24}[/tex]

hello can you please help me posted picture of question

Answers

Vertex of a parabola exists at:

[tex]( \frac{-b}{2a},y( \frac{-b}{2a})) [/tex]

b = coefficient of x term = -4
a = coefficient of squared term = 1

So,

[tex] \frac{-b}{2a}= \frac{4}{2}=2 [/tex]

and

[tex]y(2)=(2)^{2}-4(2)+1=-3 [/tex]

Therefore, the vertex occurs at (2, -3)

Thus the correct answer is option D

Is writing an equation this way ( 4 x 5 )-9-6 correct? If not why?

Answers

No, it is not correct. There is no equal sign, so the expression is not an equation.

If f(x)=4x-6 and g(x) =2x find f(x) •g(x)

Answers

This is same as (4x-6)(2x), so you can distribute 2x into 4x-6 and you would get
(2x)4x - (2x)6 = 8x² - 12x

Final answer: 8x² - 12x

Hope this helps.
f(x) · g(x) means the product of f(x) with g(x)

f(x) = 4x - 6
g(x) = 2x

Using the values, we can write:

f(x) · g(x) = (4x - 6)(2x)

= 8x² - 12x

Thus, the answer is 8x² - 12x

When designing a building, you must be sure that the building can withstand hurricane-force winds, which have a velocity of 73 mi/h or more. The formula f=0.004av^2 gives the force F in pounds exerted by a wind blowing against a flat surface. A is the area of the surface in square feet, and v is the wind velocity in miles per hour. How much force is exerted by a wind blowing at 81 mi/h against the side of the building shown?

Answers

the surface area is 412.5 square feet add everything into the equation to get

10825.65 pounds

The first step is calculate the surface area of the flat surface shown

Surface area of the rectangle = length * width = 25*12.9 = 322.5 square feet

Surface area of the triangle = 1/2 *base*height = 1/2*25*7.2 = 90 square feet

Total surface area = 322.5 +90 = 412.5 square feet

Total force = 0.004*a*v^2 = 0.004*412.5*81^2 = 10,825.65 pounds

for a bake sale violet wants to use the recipe at the right. If she wants to double the recipe, how much flour will she need

Answers

4 if it is the regular amout is 1

which equation is shown in the graph?
y = [[x]]

y = [[x + 3]]

y = [[x]] ­- 3

y = |x ­- 3|

Answers

hmmmm judging by the values in between integers, like 2.5, 1.5, -2.5, -3.5 and so on, those values always produce a smaller number hmm that sounds whack... lemme put it differently.

a floor() function, namely ⌊x⌋ like that, will floor the decimal values, so ⌊2.5⌋ floors to 2, because 2.5 is between 2 and 3, and the smallest is 2, the "floor", the 3 will be the "ceiling".

so for a floor function, ⌊1.5⌋ is 1, 1.5 is between 1 and 2, 1 is the smallest, ⌊-3.5⌋ is -4, recall that on the negative side, the closer to 0, the larger, so -1 is much larger than -1000.

and say ⌊-1.35⌋ is -2, -1.35 is between -2 an -1 and -2 is the smallest, the "floor".

that said

x = 2.5      ⌊ 2.5 + 3⌋ is ⌊5.5⌋ which is 5

x = 1.5      ⌊ 1.5 + 3 ⌋ is ⌊4.5⌋ which is 4

x = -2.749   ⌊ -2.749 + 3⌋ is ⌊0.251⌋ which is 0

anyway and so on, so you can pretty much see is the floor function of ⌊ x + 3⌋.

Circle 1 is centered at (5,8) and has a radius of 8 cm. Circle 2 is centered at (1,-2) and has a radius of 4cm. The circles are similar because you can translate circle 1using the transformation rule (___,___) and then dialate it using a scale factor of (___).

Answers

From the given information:
Circle 1:
Center (5,8)
radius= 8 cm 

Circle 2:
Center (1,-2)
radius= 4 cm

The above circle are similar because you can translate Circle 1 using the transformation rule (-4,-10) translation and dilate it using a scale factor of 4/8=1/2

These tables of values represent continuous functions. In which table do the values represent an exponential function?
A.
x y
1 3
2 6
3 9
4 12
5 15
B.
x y
1 2
2 6
3 18
4 54
5 162
C.
x y
1 10
2 22
3 34
4 46
5 58
D.
x y
1 7
2 8
3 9
4 10
5 11

Answers

Answer:

The correct option is B.

Step-by-step explanation:

A function is called an exponential function if it has common ratio.

A function is called an linear function if it has common difference.

In option A.

[tex]\frac{f(2)}{f(1)}=\frac{6}{3}=2[/tex]

[tex]\frac{f(3)}{f(2)}=\frac{9}{6}=\frac{3}{2}[/tex]

[tex]2\neq \frac{3}{2}[/tex]

Since the given table has different ratio, therefore it is not an exponential function. Option A is incorrect.

In option B.

[tex]\frac{f(2)}{f(1)}=\frac{6}{2}=3[/tex]

[tex]\frac{f(3)}{f(2)}=\frac{18}{6}=3[/tex]

[tex]3=3[/tex]

Since the given table has common ratio, therefore it is an exponential function. Option B is correct.

In option C.

[tex]\frac{f(2)}{f(1)}=\frac{22}{10}=\frac{11}{5}[/tex]

[tex]\frac{f(3)}{f(2)}=\frac{34}{22}=\frac{17}{11}[/tex]

[tex]\frac{11}{5}\neq \frac{17}{11}[/tex]

Since the given table has different ratio, therefore it is not an exponential function. Option C is incorrect.

In option D.

[tex]\frac{f(2)}{f(1)}=\frac{8}{7}[/tex]

[tex]\frac{f(3)}{f(2)}=\frac{9}{8}[/tex]

[tex]\frac{8}{7}\neq \frac{9}{8}[/tex]

Since the given table has different ratio, therefore it is not an exponential function. Option D is incorrect.

Answer:

Table B represents an exponential function.

Step-by-step explanation:

An exponential function is a function which has common ratio. Using this fact we will evaluate the functions given in the form of a table.

Table A.

f(1) = 3

f(2) = 6

f(3) = 9

Now [tex]\frac{f(2)}{f(1)}=\frac{6}{3}=\frac{2}{1}[/tex]

[tex]\frac{f(3)}{f(2)}=\frac{9}{6}=\frac{3}{2}[/tex]

Ratios are not equal so it's not an exponential function.

Table B.

f(1) = 2

f(2) = 6

f(3) = 18

[tex]\frac{f(2)}{f(1)}=\frac{6}{2}=\frac{3}{1}[/tex]

[tex]\frac{f(3)}{f(2)}=\frac{18}{6}=\frac{3}{1}[/tex]

Here ratios are same therefore it's an exponential function.

Table C.

f(1) = 10

f(2) = 22

f(3) = 34

[tex]\frac{f(2)}{f(1)}=\frac{22}{10}=\frac{11}{5}[/tex]

[tex]\frac{f(3)}{f(2)}=\frac{34}{22}=\frac{17}{11}[/tex]

Ratios are not equal therefore it's not an exponential function.

Table D.

f(1) = 7

f(2) = 8

f(3) = 9

[tex]\frac{f(2)}{f(1)}=\frac{8}{7}[/tex]

[tex]\frac{f(3)}{f(2)}=\frac{9}{8}[/tex]

Ratios are not equal so it's not an exponential function.

Therefore Table B is the correct option.

Hey can you please help me posted picture of question

Answers

1 die has 6 numbers so for 5 dice you could have:

6 x 6 x 6 x 6 x 6  = 7776 different outcomes
Number of outcomes when 1 dice is rolled = 6

Number of outcomes when n dice are rolled = 6^n which is 6 raised to the power n.

So, the number of outcomes when 5 dice are rolled = 6⁵ = 7776

Thus, when 5 dice are rolled there will be 7776 possible outcomes.

So, option A is the correct answer

*. suppose that there are 5 dollar bills in a box: three 1 dollar bills, one 5 dollar bill and one 10 dollar bill. you are allowed to pick up two bills at the same time from the box randomly. let x denote the money you get from this game. (a) what's the p.m.f. of x?

Answers

There are five dollar bills in a box of three dollar bills, one dollar bill, and one ten dollar note. You can pick up two bills at random from the box at random. x means money you got from this game.

The pmf of x is 4

To determine the probability mass function (PMF) for the game, one must calculate the probability of each possible sum of money resulting from drawing two bills, with the outcomes being 2, 6, 11, and 15 dollars.

To find the probability mass function (PMF) of the variable X, which represents the money you get from the game, we first identify all possible pairs of dollar bills you could draw from the box and then calculate the probability of drawing each pair. As there are three 1 dollar bills, one 5 dollar bill, and one 10 dollar bill, the possible sums of money (X) we can get by drawing two bills are 2 dollars, 6 dollars, 11 dollars, and 15 dollars.

To calculate the PMF of X, consider:

Picking two 1 dollar bills: The probability is C(3,2)/C(5,2) = 3/10.

Picking one 1 dollar bill and the 5 dollar bill: The probability is (C(3,1)  imes C(1,1))/C(5,2) = 3/10.

Picking one 1 dollar bill and the 10 dollar bill: The probability is (C(3,1)  imes C(1,1))/C(5,2) = 3/10.

Picking the 5 dollar bill and the 10 dollar bill: The probability is (C(1,1)  imes C(1,1))/C(5,2) = 1/10

Therefore, the PMF of X is:

P(X = 2) = 3/10

P(X = 6) = 3/10

P(X = 11) = 3/10

P(X = 15) = 1/10

A pattern on a quilt is made up of pieces of fabric in the shape of parallelograms. One piece of fabric is shown. What is the area of one piece of fabric? Enter your answer in the box.

Answers

By definition, the area of a parallelogram is given by:
 A = (1/2) * (b) * (h)
 Where,
 b: base of the parallelogram
 h: height of the parallelogram
 Substituting values we have:
 A = (1/2) * (3.1 + 3.3) * (4.1)
 A = 13.12 cm ^ 2
 Answer:
 
The area of one piece of fabric is:
 
A = 13.12 cm ^ 2

Please help me I need help

Answers

195 customers found the service satisfactory. 

260*.25=65
260-65=195


how do I do this question 4x-2=6

Answers

so what you have to do multiply 2 by 4 just regularly and then because the 2 is a integer u have to add a - to that 8 and that is the answer
Hello there!

X=2

4 x 2 - 2 = 6

Hope this helps!


shorty's gross pay last week was $251.20.if her hourly rate was $7.85,how many hours did she works?

Answers

251.50 divided by 7.85 is 32 so she worked 32 hours.

Suppose the number of calls per hour to an answering service follows a poisson process with rate 4.
a.what is the probability that fewer than 2 calls came in the first hour?

Answers

With a mean of λ , the probability mass distribution (pmf) is given by
[tex]P(k,\lambda)=\lambda^k*e^(-\lambda)/k![/tex]

for &lambda; = 4, and k<2  (i.e. k=0 or 1)

P(k<2, &lambda; )=P(k=1, &lambda; ) + P(k=1, &lambda; )
[tex]=4^0*e^(-4)/4!+4^1*e^(-4)/1![/tex]
[tex]=4^0*e^(-4)/4!+4^1*e^(-4)/1![/tex]
=0.01832+0.07326
=0.09158 (to the fifth place of decimal)

Note: Poisson processes have no memory, so 2 calls in first hour has the same probability as 2 calls in any other hour.

Marko is buying carpet for his bedroom floor. His room measures 13 feet by 12 feet. How many square feet of carpet will Marko need to cover the floor in his room?

Answers

I think the answer is 156, I got this by multiplying 12 times 13.

Answer: 156 square feet of carpet would be needed to cover the floor in his room.

Step-by-step explanation:

Since we have given that

Dimensions of his room as follows :

Length of his room = 13 feet

Width of his room = 12 feet

We need to find the square feet of carpet which is used to cover the floor of his room.

so, we just need to find the area of his room.

Area of rectangle = Length × Breadth

So, Area of his room becomes

[tex]13\times 12\\\\=156\ sq.\ feet[/tex]

Hence, 156 square feet of carpet would be needed to cover the floor in his room.

a player gets to throw 4 darts at the target shown. Assuming the player will always hit the target, the probability of hitting an odd number three times is *blank* times more than the probability of hitting an even number 3 times

Answers

Answer: The probability of hitting an odd number three times is [tex]3\dfrac{3}{8}[/tex] times more than the probability of hitting an even number 3 times.

Step-by-step explanation:

From the given picture , the total total number of sections in the spinner = 5

Sections having Odd numbers = 3

Sections having Even numbers =2

We know that , [tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

So , probability of hitting an odd number = [tex]\dfrac{3}{5}[/tex]

Probability of hitting an even number = [tex]\dfrac{2}{5}[/tex]

Since all events are independent of each other ,

So , probability of hitting an odd number three times = [tex](\dfrac{3}{5})^3=\dfrac{27}{125}[/tex]

Probability of hitting an even number three times = [tex](\dfrac{2}{5})^3=\dfrac{8}{125}[/tex]

Divide  [tex]\dfrac{27}{125}[/tex] by [tex]\dfrac{8}{125}[/tex] , we get

[tex]\dfrac{27}{125}\div\dfrac{8}{125}\\\\=\dfrac{27}{125}\times\dfrac{125}{8}=\dfrac{27}{8}=3\dfrac{3}{8}[/tex]

Hence, the probability of hitting an odd number three times is [tex]3\dfrac{3}{8}[/tex] times more than the probability of hitting an even number 3 times.

Answer:

3.375

Step-by-step explanation:

Find m/AEB

A.
10
B.
70
C.
110
D.
170

Answers

A is most likely the answer.

Hope this Helped!

;D
Answer:
∠AEB = 70°

Explanation:
1- solving for x:
When two lines intersect, the vertically opposite angles formed would be equal.
In the given, we have two intersecting lines, therefore:
∠AEB = ∠CED (vertically opposite angles)
2x + 50 = 7x
7x - 2x = 50
5x = 50
x = 50/5
x = 10

2- getting the measure of the angle:
We know that:
∠AEB = 2x + 50
x = 10
Therefore:
∠ AEB = 2(10) + 50
∠AEB = 20 + 50 = 70°

Hope this helps :)

Find the number of ways that an organization consisting of 15 members can elect a president, a treasurer, and q secretary. (assuming no person is elected to more than one position)

Answers

Total Members = 15

For electing present number of members = 15

For electing treasurer the numbers of members =14

For electing secretary the numbers of members =13

Find the numbers of possible ways for election of members= ?

Possible ways for election =15*14*13

                                                 =2730

which of the following statements is false?

A. 2 is greater than or equal to 8
B. 2 is less than or equal to 8
c. 8 is less than or equal to 8

Answers

A is false, therefore the correct answer

PLEASE PLEASE HELP ME?!?!!? PLEASSEE I ONLY HAVE 2 QUESTIONS!!!

When the function f(x) = 6(9)x is changed to f(x) = 6(9)x + 1, what is the effect?
Select one:
a. There is no change to the graph because the exponential portion of the function remains the same.

b. All input values are moved 1 space to the right.

c. The x-intercept is 1 space higher.

d. The y-intercept is 1 space higher.

Evaluate fourth root of 9 multiplied by square root of 9 over the fourth root of 9 to the power of 5 . (5 points)
Select one:
a. 9 to the power of negative 1 over 2
b. 9 to the power of negative 1 over 4
c. 9
d. 92

Answers

Answer:d. The y-intercept is 1 space higher.a. 9 to the power of -1/2Step-by-step explanation:

1. Changing f(x) to f(x) + 1 adds 1 to every output value of the function, moving that value "1 space higher". This is true for the y-intercept, too.

___

2. The rules of exponents apply:

a^b · a^c = a^(b+c)1/a^b = a^-b

You apparently want to simplify ...

... 9^(1/4) × 9^(1/2) / 9^(5/4)

... = 9^(1/4 + 1/2 - 5/4)

... = 9^((1+2-5)/4)

... = 9^(-2/4) = 9^(-1/2)

hey can you please help me posted picture of question

Answers

Remember that a parent function is the simplest form of a family of functions. Since you have the graph of a parabola, the parent function will be [tex]y= x^{2} [/tex]. To be more specific the parent function is the quadratic function [tex]y= x^{2} +0x+0[/tex].

We can conclude that the correct answer is B. Quadratic parent function.

Find the length and width of a rectangle that has the given area and a minimum perimeter. area: a square centimeters

Answers

There isn't enough information to answer this, what is the given area or perimeter?

The equation of a circle is ​ (x−2)^2+(y−16)^2=169 ​ . What is the circle's radius?

Answers

Hello!

The equation for a circle is

[tex] (x-h)^{2} +(y-k)^{2} = r^{2} [/tex]

r is the radius

To find the radius we take the square root of the number in the radius spot

sqrt169 = 13

The answer is 13

Hope this helps!

find the measure of the requested angle. find the complement of 41*

Answers

Find the measure of the requested angle. find the complement of 41°.

Solution:

The Sum of Complementary Angles is 90°.

So, Sum of Requested Angle and Given Angle =90°

So,Requested Angle+Given angle=90°

So,Requested Angle+41°=90°

To find, Requested Angle we subtract 41° from both sides,

Requested Angle+41°-41°=90°-41°

Requested Angle+0°=49°

So, Requested Angle=49°

Answer:49°

witch of the following expression is equivalent to the logarithmic expression below. log(3)5/x^2

A)log(3) 5+2 log(3)x
B)log(3) 5-2 log(3)x
C)2 log(3) 5-log(3)x
D)log(3) 5+log(3)x

Answers

assuing you mean
[tex]log_{3}(\frac{5}{x^2})[/tex]
remember that [tex]log(\frac{a}{b})=log(a)-log(b)[/tex]
also, [tex]log(x^m)=(m)log(x)[/tex]

so
[tex]log_{3}(\frac{5}{x^2})=[/tex]
[tex]log_{3}(5)-log_{3}(x^2)=[/tex]
[tex]log_{3}(5)-2log{3}(x)[/tex]

the answer is B

Answer:  The correct option is

(B) [tex]\log_35-2\log_3x.[/tex]

Step-by-step explanation:  We are given to select the expression that is equivalent to the following logarithmic expression :

[tex]E=\log_3\dfrac{5}{x^2}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We will be using the following properties of logarithms :

[tex](i)~\log_a\dfrac{b}{c}=\log_ab-\log_ac,\\\\(ii)~\log_ab^c=c\log_ab.[/tex]

From (i), we get

[tex]E\\\\=\log_3\dfrac{5}{x^2}\\\\\\=\log_35-\log_3x^2~~~~~~~~~~~~~~~~~~~~[\textup{Using property (i)}]\\\\\\=\log_35-2\log_3x.~~~~~~~~~~~~~~~~~~~~[\textup{Using property (ii)}][/tex]

Thus, the required equivalent expression is  [tex]\log_35-2\log_3x.[/tex]

Option (B) is CORRECT.

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