simplify the following expression, show all work you did to get the results​

Simplify The Following Expression, Show All Work You Did To Get The Results

Answers

Answer 1

Answer:

(sqrt(7))/3 or decimal 0.8819171036881968635005385845464201419034197276941500601227781530...

Step-by-step explanation:

Simplify the following:

(sqrt(14))/(sqrt(18))

Hint: | Simplify radicals.

sqrt(18) = sqrt(2×3^2) = 3 sqrt(2):

(sqrt(14))/(3 sqrt(2))

Hint: | Multiply numerator and denominator of (sqrt(14))/(3 sqrt(2)) by sqrt(2).

Rationalize the denominator. (sqrt(14))/(3 sqrt(2)) = (sqrt(14))/(3 sqrt(2))×(sqrt(2))/(sqrt(2)) = (sqrt(14) sqrt(2))/(3×2):

(sqrt(14) sqrt(2))/(3×2)

Hint: | Multiply 3 and 2 together.

3×2 = 6:

(sqrt(14) sqrt(2))/6

Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(14) sqrt(2).

sqrt(14) sqrt(2) = sqrt(14×2):

(sqrt(14×2))/6

Hint: | Multiply 14 and 2 together.

14×2 = 28:

(sqrt(28))/6

Hint: | Simplify radicals.

sqrt(28) = sqrt(2^2×7) = 2 sqrt(7):

(2 sqrt(7))/6

Hint: | In (2 sqrt(7))/6, divide 6 in the denominator by 2 in the numerator.

2/6 = 2/(2×3) = 1/3:

Answer:  (sqrt(7))/3


Related Questions

Carsen loves to run. She runs 4 miles each day. If she wants to run a total of 56 miles how many days should she run? Write an equation to show this problem along with the answer. *Please click on "show your work" to set up the problem and show your work. Then, enter your answer in the box to the right. You must complete both of these steps.​

Answers

Answer:

56 dived by 4. answer would be 14. so she would need to run two weeks

Step-by-step explanation:

Answer:

14  need to run two weeks

Step-by-step explanation:

Can somebody please help me and how do you do this step by step and I need the formula for this please.

Answers

radius of ½ circle = d : 2

= 6in : 2 = 3in

Total area = Rectangle area + ½Circle area + Triangle area

= (w) + ½(π×r²) + (½×b×h)

= (10×6) + ½(π×3²) + (½ × (14-10) × 6)

= 60 + 14.14 + 12 = 86.14in

Answer : 86.14in

See the bold one in line 2 of total area, thats the formula of all shape.

i neeed help asap please

Answers

Answer:

last option.

linear pair

.............

4
Jared has a collection of 90 movies on DVD. If
46 of the movies are comedies, 26 are drama,
and the rest are science fiction, what percent of
the movies are science fiction?
A) 18
B) 20
C) 28
D) 32

Answers

It's (A) 18 because if you add 46 & 26 it's 72 and then for you to get 18 , 72 + 18 = 90

What is the volume of a prism if the area of its cross-section is 2 m² and its length is 7 m?

Answers

Answer:

14m^3

Step-by-step explanation:

Volume of the prism = base area * height

Given

Area of the cross section = 2m^2

Length = 7m

Substitute

Volume of the prism = 2 * 7

Volume of the prism = 14m^3

Hence the volume of the prism is 14m^3

True or false: is x=4 a solution to |x+5| =-9?. Explain

Answers

Answer:

No

Step-by-step explanation:

if u subsitute x for 4, 4+5 would equal positive 9.

The array below represents the temperatures (in degrees Fahrenheit) of certain points on theinterior and boundary of a metal plate:

30 30
15 T1 T2 45
15 T3 T4 45
60 60

Assume that the temperature at each point is theaverageof the temperatures at the four neighboring points(left, right, above, and below).Set up (do not solve)a system of four linear equations whose solution gives the four temperature T1,T2,T3, andT4. (Your linear equations should all be written instandard form, meaning a linear combination ofthe variables set equal to a constant.)

Answers

Answer:

[tex]4T1 - T3 - T2= 45[/tex]

[tex]4T2- T1 - T4 = 75[/tex]

[tex]4T3- T1 - T4 = 75[/tex]

[tex]4T4 - T2 - T3= 105[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{cccc}{ } & {30} & {30} & { } & {15} & {T1} &{T2} & {45} & {15} & {T3} & {T4} & {45} & {} & {60} & {60} & {} \ \end{array}[/tex]

Required

Set up 4 linear equations to solve for T1,T2,T3, andT4

From the question, we understand that each temperature is the average of the 4 surrounding temperatures.

So, we have:

For T1, the surrounding temperatures are: 30, 15, T3 and T2.

The average is:

[tex]T1 = \frac{1}{4}(30 + 15 + T3 + T2)[/tex]

[tex]T1 = \frac{1}{4}(45 + T3 + T2)[/tex]

Multiply through by 4

[tex]4T1 = 45 + T3 + T2[/tex]

Equate variables to constant

[tex]4T1 - T3 - T2= 45[/tex]

For T2, the surrounding temperatures are: T1, T4, 45 and 30.

The average is:

[tex]T2 = \frac{1}{4}(T1 + T4 + 45 + 30)[/tex]

[tex]T2 = \frac{1}{4}(T1 + T4 + 75)[/tex]

Multiply through by 4

[tex]4T2 = T1 + T4 + 75[/tex]

Equate variables to constant

[tex]4T2- T1 - T4 = 75[/tex]

For T3, the surrounding temperatures are: 60, 15, T1 and T4

The average is:

[tex]T3 = \frac{1}{4}(60 + 15 + T1 + T4)[/tex]

[tex]T3 = \frac{1}{4}(75 + T1 + T4)[/tex]

Multiply through by 4

[tex]4T3 = 75 + T1 + T4[/tex]

Equate variables to constant

[tex]4T3- T1 - T4 = 75[/tex]

For T4, the surrounding temperatures are: 60, 45, T2 and T3

The average is:

[tex]T4 = \frac{1}{4}(60 + 45 + T2 + T3)[/tex]

[tex]T4 = \frac{1}{4}(105 + T2 + T3)[/tex]

Multiply through by 4

[tex]4T4 = 105 + T2 + T3[/tex]

Equate variables to constant

[tex]4T4 - T2 - T3= 105[/tex]

So, the equations are:

[tex]4T1 - T3 - T2= 45[/tex]

[tex]4T2- T1 - T4 = 75[/tex]

[tex]4T3- T1 - T4 = 75[/tex]

[tex]4T4 - T2 - T3= 105[/tex]

A cookie factory uses 1/3 of a bag of flour in each batch of cookies. The factory used 2/3 of a bag of flour yesterday. How many batches of cookies did the factory make?

Please Help

Answers

Answer:

They made 2 batches

Step-by-step explanation:

If the factory used ⅔, and 1 batch is ⅓, the factory made 1 batch for each 3rd they used. ⅔, 2 batches

what is the measure that is complementary to an 20 degree angle

Answers

I think it would be a 70 degree angle since a 90 degree is a right angle and subtracting from the 20 it would 70 so yep if this is wrong I am sorry.

Please help this is due today!

Calculate the unknown missing angle measures.

Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.

Answers

Answer:

well it is a right trianlg that means that the first side is 90 degrees

and the other two sides are 45 because they look the same angles so 180 minus 90 = 90 divide that by 2 to get 45

Step-by-step explanation:

what is 48 *3/8 explain

Answers

Answer:

18

Step-by-step explanation:

=(

48

1

)(

3

8

)

=

(48)(3)

(1)(8)

=

144

8

=18

what is the variable in this expression 5x2+x+7?

Answers

Answer:

x

Step-by-step explanation:


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

y = -x

Step-by-step explanation:

Let the equation representing the table attached is,

y = mx + b

Here, m = Slope of the line

b = y-intercept

Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table attached,

Slope of the line passing through (23, -23) and (33, -33),

m = [tex]\frac{-33+23}{33-23}[/tex]

m = -1

Equation of the line will be,

y = -x + b

Since, this line passes through another point (43, -43),

-43 = -43 + b

b = 0

Therefore, equation of the line representing the table will be,

y = -x  

y=3x +4
How do you graph this

Answers

Answer:

Step-by-step explanation:

you can use desmos to see the graph

but 4 is the y intercept, so that means you can start from the point (0, 4). then, to draw the rest of the line,  you would go up 3 and right 1 because the slope is 3 or 3/1

Order this set of numbers from greatest to least. Then explain the order, referring to the number line in your explanation,

-1.79, 2 1/4, 2.54,-4


Answers

2.54, 2 1/4, -1.79, -4

Evaluate
28.47% of 637.38cm
Give your answer rounded to 2 DP.
cm

Answers

Answer: 181.46 cm.

Step-by-step explanation: The real answer is 181.462086 cm but we can round that to 2 decimal places.

637.38 × 28.47/ 100

= 181.46

Kirsten has to walk 2 3/4km to school. How far has she walked when she halfway? Give your answer in metres.

Answers

Answer:

375 m

Step-by-step explanation:

[tex] \frac{3}{4} \times 1000 = 750[/tex]

From halfway

[tex] \frac{750}{2} = 375[/tex]

Follow me and text me if you need anything in math.

Given that 7x – 4y = 6
Find x when y=9

Answers

Answer:

6

Step-by-step explanation:

Substitute y for 9: 7x - 36 = 6

Add 36 to both sides: 7x = 42

Divide both sides by 7: x = 6

It's 6, do you need something more simplified?

Find the average rate of change

Answers

Replace x with 1 nd solve, then replace x with 3 and solve:

x^3 - 2x^2 +3x

When x = 1:  1^3 -2(1)^2 +3(1) = 3 -3 +3 = 3

When x = 3: 3^3 -2(3)^2 + 3(3) = 27 -18 +9 = 18

The difference between the two solutions is 18-3 = 15

The difference between the two x values = 3-1 = 2

The rate of change is 15/2  or 7.5 as a decimal.

solve

2. y+0.4=2

what is y?​

Answers

The answer is,

[tex]y = 1.6[/tex]

Answer:

Y = 1.6

Step-by-step explanation:

Y = 2 - 0.4

Y = 1.6

Tell whether the ratios form a proportion.
5
16.
24 15
a. Yes
b. No
c. Impossible to tell
3 12

Answers

5:16 is no
24:15 is no
3:12 is yes

Simplify the algebraic expression (8x + 16y)/2 + 4(x - y)

Answers

It's 8x + 16y/2 + 4x - 4y :))

Answer:

8x+4y

Step-by-step explanation:

Distribute:

=4x+8y+(4)(x)+(4)(−y)

=4x+8y+4x+−4y

Combine Like Terms:

=4x+8y+4x+−4y

=(4x+4x)+(8y+−4y)

=8x+4y

Answer:

=8x+4y

I hope I helped!!

How do you solve for a variable?

A. Use the alphabet
B. Displacement
C. Get it by itself

Answers

Answer:

C. Get it by itself

Step-by-step explanation:

When solving for a variable, whether it be an inequality, a factor, or an algebraic expression. Getting the specified variable by itself is the most effective and best way to get that answer to your question. The other two answers here do not make any sense whatsoever.

Which of the following is most likely the next step in the series ?​

Answers

Answer:

A

Step-by-step explanation:

The colour keeps switching from red to blue to red, and red was last in the series. Therefore, a blue pattern should be next in the series.

Each time, a new hand is added to the pattern. Therefore, we add a hand.

The answer is definitely A.

300x + 20 + 5x + 10 -40x2 =​

Answers

Step-by-step explanation:

[tex]305x + 30 - 80 \\ 305x - 50 \\ 305x = 50 \\ x = \frac{305}{50} \\ x = \frac{61}{10} [/tex]

Which of the following represents an equation of a line parallel to one whose equation is 2x + 8x = 18

Answers

Answer:

y=-4x+3

Step-by-step explanation:

it does not show the equations that are following

but the main thing you need to know is that when two lines are parallel they have the same slope

and do you mean 2x+8y=18 not x?

edit:

answer choices: y=-4x+3, y=8x-2, y=4x+7, y=-8x+9

2y+8x=18

first change that equation to slope intercept form to find the slope

2y = -8x+18 -> y = -4x+9

slope is -4

so the answer is y=-4x+3 because it also has a slope of -4

Find the value of x for which L parallel m (3x-33) (2x+26)

Answers

Answer:

59

Step-by-step explanation:

Find the diagram attached

From the diagram, we can see that both given angles are vertically opposite angles, hence they are equal

3x - 33 = 2x+26

3x-2x = 26 + 33

x = 59

Hence the value of x is 59

The length is 8 1/3 yd the width is 6 3/4 yd what is the area

Answers

Answer:

56 and 1/4 square yds

Step-by-step explanation:

An automobile manufacturer claims that its car has a 57.7 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this car since it is believed that the car has an incorrect manufacturer's MPG rating. After testing 210 cars, they found a mean MPG of 57.4. Assume the standard deviation is known to be 1.9. A level of significance of 0.1 will be used. Find the value of the test statistic. Round your answer to 2 decimal places.

Answers

Answer:

The value of test statistic

   |Z| = |-2.2883| = 2.2883

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 57.7miles/gallon

The standard deviation of the Population = 1.9

The mean of sample x⁻ = 57.4

Given that the sample size 'n' =210

level of significance = 0.1

Step(ii):-

Test statistic

        [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

       [tex]Z = \frac{57.4-57.7}{\frac{1.9}{\sqrt{210} } }[/tex]

      Z = -2.2883

  |Z| = |-2.2883| = 2.2883

Final answer:-

The value of test statistic

   |Z|  = 2.2883

round up 6,614,980 to hundreds​

Answers

well just look at the tens digit and see if it is bigger or smaller than 5, in this case 8>5

so the answer is 6,615,000, it is 000 because 9+1 became a 10

Other Questions
_______ the process of gaining citizenship in another country legally A: A big smile from your family.B: A PassportC: Learning how to readD: Naturalization who lives in or around atlanta !! Diamonds Group of answer choices are exceedingly rare, which is why their price is so high. are brought from the mantle to the surface in magma that hardens into kimberlite. of industrial quality (non-gem quality) have no use and are usually discarded. are found in carrot-shaped structures called pegmatites. what is the HCF ofusin prime factorization of 30 and 36 what is types of tissue what do u mean by custom mail Write an exponential function for a graph that passes through the points (2,16) and (3,32). Please help me :(....... 17. Dnde est mi dinero? Necesito ___por la chaqueta.a.gustar b.jugar c.vender d.pagar PLEASE ANSWER ASAPP!! WILL GIVE BRAINLIESTMatch the following peer pressure tactics to the definitions. (unspoken pressure, rejection, insults, and reasoning)Communicating verbally and nonverballyAttempting to convince peers to alter their beliefsExcluding or ignoringDressing a certain way or participating in a certain activity In a sex linked trait, the recessive phenotype is most often found in males because... Question 1: Escoge la opcin correcta para completar la siguiente oracin.Linda y Manuel ___ salsa.a. est bailandob. estn bailandoc. estn bailanAdela ___ su msica favorita.a. estn escuchandob. est escuchac. est escuchandoQuestion 2:Gramtica: Talking about actions in progress: The present progressive: Elige la mejor opcin para completar la siguiente oracin.La empresa Ford _____________ carros que no contaminan tanto el medio ambiente.a. estamos construyendob. est construyendoc. estis construyendoLos estudiantes ____________________ un mural en la pared de la escuela.a. estis pintandob. estn pintandoc. est pintando How does watching Mr. Solway's video make Aaron and Bear feel?In restart. PLEASE HELP ANSWERS ONLY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! The carts are moving on a level, frictionless track. After the collision all three carts stick together. Find the speed of the combined carts after the collision. Write your question here (Keep it simple and clear to get the best answer)a sum of 1,5000.00 in the ratio 5:3 Which two of these discoveries supports the idea that the Greek style of realistic art Influenced other regions? a statue showing realistic features at a site bordering Alexander the Great's empire literature in nearby regions praising the realistic depiction of human features in their paintings records showing the number of architects, sculptors, and artisans visiting or leaving Greek territories cities near Alexander's empire with architecture resembling that of the Ancient Greeks Find the solution of y = -x - 3 for x = -2.A.(-2, 1)B.(-2, -5)C.(-2, -1) What role did the doughboys play during WWI? 13. Jannah purchased flowers to plant inher garden. She planted 2 flowers ineach of her 5 flower beds plus 8 flowersaround a pond. Write an expressionthat shows how many flowers Jannahplanted.