arrange in order ^6√5,^3√3 and √2
plz help​

Answers

Answer 1

⁶√5 < √2 < ³√3

Step-by-step explanation:

Given: ⁶√5, ³√3, √2

[tex] = {5}^{ \frac{1}{6} } , \: {3}^{ \frac{1}{3} } , \: {2}^{ \frac{1}{2} } \\ = {({5}^{ \frac{1}{6} })}^{6} , \: {({3}^{ \frac{1}{3} })}^{6} , \: {({2}^{ \frac{1}{2} })}^{6} \\ = 5, \: {3}^{2} , \: {2}^{3} \\ = 5, \: 9, \: 8 \\ \\ 5 < 8 < 9 \\ = {5}^{ \frac{1}{6} } < \: {2}^{ \frac{1}{2} } \: < {3}^{ \frac{1}{3} } \\ [/tex]


Related Questions

if a:b=1:3 and b:c=5:8 what's a:c

need steps pls​

Answers

Answer:

a:c=1:8

Step-by-step explanation:

a:b=1:3

therefore a=1 and b=3

b:c=5:8

therefore b=5 and c=8

then,

a:c=1:8

Answer:

a : c = 5 : 24

Step-by-step explanation:

[tex]a : b = 1 : 3\\\\\frac{a}{b} = \frac{1}{3} \ => b = 3a\\\\b : c = 5 : 8 \\\\ \frac{b}{c} = \frac{5}{8} \ => \ \frac{3a}{c} = \frac{5}{8}[/tex]                  [tex][substituting \ b = 3a ][/tex]

                 [tex]\frac{a}{c} = \frac{5}{24}[/tex]

    [tex]=> a : c = 5 : 24[/tex]

From 1980 to 1990 the consumer price index increased from 82.4 to 130.7 if a bottle of dish soap cost 0.74 in 1980 and the price of dish soap increased at the same rate as the cpi from 1980 to 1990 by approximately how much did the price of the bottle of dish soap increase from 1980 to 1990

Answers

Answer:

$0.43

Step-by-step explanation:

Rate of increase = [(CPI in 1990 / CPI in 1980)^1/t] - 1

(130.7 / 82.4)^1/10

1.586165^0.1 = 1.047213 - 1  = 4.72%

Price of dish soap in 1990 = value in 1980 ( 1 + rate of increase)^10

0.74( 1.047213)^10 = 1.174

Price increase 1.174 - 0.74 = 0.43

Match each vertex in ABC to its corresponding vertex in the dashed triangle.

Answers

A -> A

B -> E

C -> D

Theyre similar triangles, ABC = AED

The corresponding vertex of the similar triangles are

A ≈ A

B ≈ E

C ≈ D

The triangles ABC and AED are similar triangles

What are similar triangles?

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be represented as ABC

Let the second triangle be represented as AED

The measure of AB = 3

The measure of AD = 8

The measure of AC = 4

The measure of AE = 6

Now , for the similar triangles , corresponding sides of similar triangles are in the same ratio

So ,

AB / AE = AC / AD

Substituting the values in the equation , we get

3/6 = 4/8

1/2 = 1/2

Therefore , the triangles are similar

Hence , the triangles ABC and AED are similar triangles

To learn more about similar triangles click :

https://brainly.com/question/29378183

#SPJ2

Solve each triangle. Round your answers to the nearest tenth.
show work If possible ​

Answers

Answer:

∠ABC = 76°

BC = 20.1

CA = 28.0

Step-by-step explanation:

Solving the triangle means finding all unknown angles and sides of the triangle.

(i) Two of the angles (∠BCA = 60° and ∠CAB  = 44°) are given. To find the third angle (∠ABC), use one of the theorems stating that the sum of angles of a triangle is equal to 180°.

Therefore, the sum of angles of the triangle ABC is 180°. i.e

∠ABC + ∠BCA + ∠CAB = 180°

=> ∠ABC + 60° + 44° = 180°

=> ∠ABC + 104° = 180°

=> ∠ABC = 180° - 104°

=> ∠ABC = 76°

(ii) One side (BA) of the triangle is given. To get the other sides, we use the sine rule as follows;

=> [tex]\frac{sin60}{25} = \frac{sin44}{BC} = \frac{sin76}{CA}[/tex]

=> [tex]\frac{sinBCA}{BA} = \frac{sinCAB}{BC} = \frac{sinABC}{CA}[/tex]

Substitute the necessary values

[tex]\frac{sin60}{25} = \frac{sin44}{BC} = \frac{sin76}{CA}[/tex]      ---------------------(ii)

(a) To get side BC, use the first two terms of equation (ii)

[tex]\frac{sin60}{25} = \frac{sin44}{BC}[/tex]

Cross multiply

BC x sin 60 = 25 x sin 44

BC x 0.8660 = 25 x 0.6947

0.8660 x BC = 17.3675

BC = [tex]\frac{17.3675}{0.8660}[/tex]

BC = 20.05

=> BC = 20.1 to the nearest tenth

(b) To get CA, use any two terms of equation (ii). Using the first and third terms, we have;

[tex]\frac{sin60}{25} = \frac{sin76}{CA}[/tex]

Cross multiply

CA x sin 60 = 25 x sin 76

CA x 0.8660 = 25 x 0.9703

0.8660 x CA = 24.2575

CA = [tex]\frac{24.2575}{0.8660}[/tex]

CA = 28.01

=> CA = 28.0 to the nearest tenth

Lisa invested $2500 in a bank account. The account has an annual interest rate of 3.5%. How much money will be in the account after 15 years? Use the formula A(t) = P*e^rt to solve the problem. (round to the nearest hundredth)​

Answers

Answer:

A = $ 4188.38

Step-by-step explanation:

A= $2500

r = 3.5% = 0.035

t = 15years

n = 1

     [tex]A = P(1 + r)^t[/tex]

        [tex]= 2500 ( 1 + 0.035)^{15}\\\\= 2500 (1.67535)\\\\= \$ 4188.38[/tex]

A scientist has a sample of the radioactive isotope bismuth-212. The isotope decays exponentially as shown in the table. Time (seconds) Mass (grams) 10 26.8 20 23.9 30 21.3 40 19.0 50 16.9 60 15.1 Which equation best represents the curve of best fit for this set of data? A. f(x) = 29 • 0.989x B. f(x) = 27 • 1.011x C. f(x) = 30 • 0.989x D. f(x) = 28 • 0.234x

Answers

Answer:

f(x) = 30 • 0.989x

Step-by-step explanation:

Given the data :

10 26.8

20 23.9

30 21.3

40 19

50 16.9

60 15.1

Using technology, the exponential model equation obtained by plotting the data is :

y = 30.068(0.989)^x

Based on the general exponential formula :

y = ab^x

y = predicted value

Initial value, a = 30.068

Rate = b = 0.989

The most appropriate model equation from the options given is :

f(x) = 30 • 0.989^x

Copy and complete the statement using < or >
-7 or -8

Answers

Answer: -7

Step-by-step explanation:

Well since where going below degrees the answer would be -7 because it is closer to 1

En un curso, el 40 % de los alumnos reprobó un examen. Si el curso tiene 45 alumnos. ¿Cuántos alumnos aprobaron

Answers

Answer:

Cantidad de aprobados= 25

Step-by-step explanation:

Dada la siguiente información:

Reproado= 45%

Aprobado= 55%

Cantidad de alumnos= 45 alumnos

Para calcular la cantidad de aprobados, debemos utiliar la siguiente formula:

Cantidad de aprobados= cantidad de alumnos*porcentaje aprobados

Cantidad de aprobados= 45*0.55

Cantidad de aprobados= 25

What’s the answer????????????

Answers

Answer:33

Step-by-step explanation:

trust

examine the matrices below and use to answer questiom 12 and 13

x={3 -5} y= {6 7}
{-4 2} {-4 -3}



number 2 question
calculate x and y

A {9 12}
{0 1}

B {9 -12}
{0 -5}

c {9 -2}
{-8 -1}

D {9 2}
{-8 -1}

Answers

Answer:

d

Step-by-step explanation:

HELP WITH 9 AND 10! I really don’t understand how to find these!

Answers

Answer:

50 and C

Step-by-step explanation:

Remark.

The geometric mean is the middle number between two numbers that are 2 places apart. It's easier just to make up an example to show what the mean is

4 8 16

8 is the geometric mean of 4 and 16. The first term (4) is multiplied by 2. The third term is derived from 8 (the mean) multiplied by 2

So to solve this problem you need to find what a is multiplied to get get the mean, and multiplied again by the same thing you did before to go from the mean to the third term.

Solution

12 / mean = mean / a      Cross multiply

mean^2 = 12*a

But the mean is given as 10sqrt(6)

12a = 100 * 6

12a = 600

a = 50

20 / mean = mean /a

mean^2 = 20 a

mean = 10 sqrt (10)

100 * 10 = 20*a

a = 1000 / 20

a = 50

What is the ordered pair for Point T?
A. (1,5)
B. (0,5)
C. (5,0)
D. (5, 5

Answers

Answer:

B.(0,5)

Step-by-step explanation:

Ordered pairs are written as (x,y)

x value of T is 0

y value of T is 5

Ordered pair for point T is (0,5)

what is the algebraic expression for 12 times a number x, plus a second number y ?​

Answers

12x + y is the answer

Answer:

12x + y

Step-by-step explanation:

Which of the following is the area of a triangle pictured below

Answers

Answer:

(2) 22.44 cm^2

Step-by-step explanation:

A = bh/2

A = (8.8 cm)(5.1 cm)/2

A = 22.44 cm^2

Answer:

22.44 cm^2

Step-by-step explanation:

8.8 - 7.6 = 1.2

1.2 · 5.1 = 6.12 / 2 = 3.06

7.6 · 5.1 = 38.76 / 2 = 19.38

19.38 + 3.06 = 22.44 cm^2

Answer this wuestion for me man

Answers

Answer:

The length of ribbon is [tex]\sqrt{32}[/tex].

Step-by-step explanation:

Length of the side of square = 4 inches

let the length of the diagonal is x.

By use of Pythagorean theorem

[tex]x^2 = 4^2 + 4^2 \\\\x =\sqrt {16 + 16}=\sqrt{32}[/tex]

PLEASE ANSWER I NEED HELP SEE THE ATTACHMENT

Answers

Answer:

[tex]p=\frac{50}{360} 2\pi [8cm+(8-9)cm]+2(4.5cm)[/tex][tex]=19.0~cm[/tex]

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

hope it helps...

have a great day!!

Answer is 19cm I think

There are 1,099 souvenir paperweights that need to be packed in boxes. Each box will hold 11 paperweights. How many boxes will be needed?

Answers

Answer:

1099/11=99.9

since you can't have 99 boxes, you round to 100 boxes.

you will need 100 boxes.

Find the average rate of change (-4,-7)(-2,3)

Answers

The average rate of change is m=5.
Hope this helped.

What angle is Framed below
60​

Answers

Answer:

is there supposed to be an image?

have a good day :)

Step-by-step explanation:

If the sum of the measures of 21 and 22 is 180°, what is the sum of the measures of 23 and 24?

Answers

Answer:

180

Step-by-step explanation:

it is a quadrilateral that has 360 degrees in total. So if 1 and 2=180 then 3 and 4=360-180=180. Hope this is right.....

Which of the following represents a constant from the expression given?

15x2 + 2x + 9

Answers

Answer:

9

Step-by-step explanation:

15x^2 + 2x + 9

A constant does not have a variable with it

15x^2 is the quadratic term

2x is the linear term

9 is a constant term

Answer:

The answer is 9.

someone already explained  it lol

I need help I’m stuck

Answers

The answer is b and have a nice day

if you get 7,676 of something per 0.5 milliseconds how much would you have of that something in 8 hours​

Answers

Answer:

The answer will be 441907200 not sure

Step-by-step explanation:

If you are given a parallelogram with the top right and left corners each measuring 72* and the bottom right corner measuring 108*. What is the measurement of the missing corner, the bottom left corner of the parallelogram?

Answers

Answer: [tex]108^{\circ}[/tex]

Step-by-step explanation:

Given

The top left and right corners measures [tex]72^{\circ}[/tex] and the bottom right corner measures [tex]108^{\circ}[/tex].

Suppose the missing corner measures [tex]x[/tex]

So, the sum of the four angles of parallelogram is [tex]360^{\circ}[/tex]

[tex]\therefore x+72^{\circ}+108^{\circ}+72^{\circ}=360^{\circ}\\\Rightarrow x=360^{\circ}-252^{\circ}\\\Rightarrow x=108^{\circ}[/tex]

Therefore, the missing angle is [tex]108^{\circ}[/tex].

Write the equation of the line in slope-intercept form

Answers

Answer:

y = 4/1 + 0

Step-by-step explanation:

we rise 4 units up and move 1 unit to the right

and the y intercept is 0 because its exactly in the center of x and y axis

What is -1.2 repeating as a mixed number​

Answers

Answer:

[tex]-1\frac{2}{9}[/tex]

Step-by-step explanation:

         _

y = - 1.2

                 _

y × 10 = - 1.2 × 10

                _

10y = - 12. 2

                _

10y = - 12. 2

-         _

y = - 1.2

____________

9x = 11

9x ÷ 9 = 11 ÷ 9

[tex]x = -1\frac{2}{9}[/tex]

   _

- 1.2 = - 1 2/9

what is the correct answer​

Answers

The Answer is:

A. x = 4

Find an equation for the perpendicular bisector of the line segment whose endpoints are (-1, -7) and (9, 1).

Answers

Answer:

y = -5/4 x + 2

Step-by-step explanation:

the slope of line segment : (1+7) /(9+1) = 8/10

= 4/5

the mid point of line segment :

x = (-1+9)/2= 4

y= (-7+1)/2 = -3

the coordinate : (4, -3)

the slope of line perpendicular to line segment

= -1 ÷ 4/5 = -5/4

so the equation :

y+3= -5/4 (x-4)

y+3= -5/4 x +5

y = -5/4 x + 2

A parabola is defined by the equation x2 = 3/4 y. In which direction will the parabola open?

Answers

I’m pretty sure it’s positive so a upward one that looks like :u

Find the mode of the data.
Length (inches) of fish in tank:
2, 3, 1, 4, 5, 2, 2
Mode: [?] in.

Answers

Answer:

The mode is 2

Step-by-step explanation:

Mathematically, the mode of a given data set represents the most recurring number or the number with the most count

Looking at the given dataset, we can see that the number 2 recurred 3 times

Compared with the other numbers, it has the most count

this means it is the mode of the given or displayed dataset

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