Identify the values of the variables. Give your answers in the simplest radical form.

Step-by-step explanation: To find the exponent, we look at the expression again and see how much of the same number or fraction is repeated. Since the main number is 1/9 and there are 3 fractions repeating it, the exponent is [tex]\frac{1}{9} ^3[/tex] or 1/9 to the 3rd power.

Down is a formula I made!

Main number: 1/9

Repeating how many times: 3

Expression: [tex]\frac{1}{9} ^3[/tex]

Therefore, 1/9 to the 3rd power is 1/729.

[tex]\frac{1}{9}^3=\frac{1}{729}[/tex]

Note: The questioner did not ask for the answer. I wanted to add it anyway for future reasons.

Answer:

18%

Step-by-step explanation:

First, we need to find out the underage of 15 for walking/biking. 152-65=87

then we subtract 87 and 60 from 165 to get 18%

Answer:

2/3 ft= 8 in   2/5 m= 40 cm   5/6 yr= 10 months

Step-by-step explanation:

Answer:

Lower Quartile = 25.5

Upper Quartile = 61.5

IQR = 36

Step-by-step explanation:

Given data is:

5, 12, 17, 23, 28, 31, 37, 41, 42, 49, 54, 58, 65, 68, 73, 71

The lower quartile is the first quartile and upper quartile is the third quartile.

A median divides the data set in two equal halves.

Lower quartile also known as first quartile is the middle value in the first half.

The first half is:

5, 12, 17, 23, 28, 31, 37, 41

As the number of values is even, the quartile will be the average of two middle values

[tex]Q_1 = \frac{23+28}{2} =\frac{51}{2}= 25.5[/tex]

Upper quartile is the average of middle two values in the second half when the number of values is even.

42, 49, 54, 58, 65, 68, 73, 71

[tex]Q_3 = \frac{58+65}{2} = \frac{123}{2} = 61.5[/tex]

Interquartile range is the difference of third quartile and first quartile

[tex]IQR = Q_3 - Q_1 = 61.5-25.5=36[/tex]

Hence,

Lower Quartile = 25.5

Upper Quartile = 61.5

IQR = 36

Answer: we need 3 cups of white paint and 5 of yellow paint if we want to make 1 batch.

Step-by-step explanation:

I suppose that each one of these squares represents one cup of the given color.

(the white squares represent the cups of white paint and the yellow squares represent the number of cups of yellow paint)

We know that for 3 batches of the paint, we need:

9 cups of white paint.

15 cups of yellow paint.

Now, if we only want to do one batch, then we should use one-third of these numbers of cups. (Because with that we make 3 batches, and one-third of 3 batches is one batch)

Originally, we use 9 cups of white paint, then for one batch we need one-third of 9 cups, this is:

9/3 = 3

Then we should use 3 cups of white paint.

And for the yellow paint, we originally use 15 cups, one-third of 15 is:

15/3 = 5

Then we should use 5 cups of yellow paint.

We can conclude that we need 3 cups of white paint and 5 cups of yellow paint if we want to make 1 batch.

This would be represented with 3 white squares and 5 yellow squares.

Answer:

-9/7

Step-by-step explanation:

[tex]slope \: of \: line \\ \\ = \frac{12 - 3}{3 - 10} \\ \\ = \frac{9}{ - 7} \\ \\ = - \frac{9}{7} [/tex]

Answer:

The solution to the equation [tex]\frac{1}{4}x+2=\frac{-5}{8}x-5[/tex] is [tex]\mathbf{x=-8}[/tex]

Option A is correct option.

Step-by-step explanation:

What is the solution to the equation [tex]\frac{1}{4}x+2=\frac{-5}{8}x-5[/tex]

Solving the equation

[tex]\frac{1}{4}x+2=\frac{-5}{8}x-5[/tex]

Subtracting 2 on both sides

[tex]\frac{1}{4}x+2-2=\frac{-5}{8}x-5-2\\\frac{1}{4}x=\frac{-5}{8}x-7[/tex]

Adding 5/8x  on both sides

[tex]\frac{1}{4}x+\frac{5}{8}x=\frac{-5}{8}x-7+\frac{5}{8}x\\\frac{2x+5x}{8}=-7 \\\frac{7x}{8}=-7[/tex]

Multiply both sides by 8/7

[tex]\frac{7x}{8}\times \frac{8}{7}=-7 \times \frac{8}{7}\\x=-8[/tex]

So, we get x = -8

The solution to the equation [tex]\frac{1}{4}x+2=\frac{-5}{8}x-5[/tex] is [tex]\mathbf{x=-8}[/tex]

Option A is correct option.

Answer:

560 cubes

Step-by-step explanation:

Is 2 213 supposed to read 2 1/3? First calculate the volume of the box

V_box = 8/3 * 10/3 * 7/3 = 560/27 cubic inches

Now calculate the volume of your 1/3 inch cube:

V_cube = 1/3 * 1/3 * 1/3 = 1/27 cubic inches

Now divide the V_box by V_cube:

Number of boxes = (560/27) / (1/27) = (560/27) * (27/1) = 560 cubes

Step-by-step explanation:

2^400=2^(2×200)

2^(2×200) =[2^(2) ]^200

Now, [2^(2) ]^200=4^200

The power  of 2 in 400! is 397.

Let p is the prime number whose power is to be found

Let n is the factorial number then

p in n! = (n /p) + (n/p²) +(n/p³) + .......

until Numerator < Denominator

and after division only the integer part is taken

Therefore to determine the power of 2 in 400!

2 in 400! = (400 /2) + ( 400 /2²) + (400 /2³) +(400 /2⁴) +(400 /2⁵) +(400 /2⁶) +(400 /2⁷) +(400 /2⁸) + above this N < D

2 in 400! = 200 +100 +50+25+12+6+3+1

2 in 400 = 397

Therefore the power  of 2 in 400! is 397.

To know more about power of prime in Factorial

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Answer:

1218

(14x25)x3=1050

because you have three sides

14x12=168 then 168+168=336

then add al together 1050+336=1 386

Answer:Sorry but none where c there e but no c .

But it would be 16c +2f +13 .

Step-by-step explanation:you need to combine like terms

which are 13c +3c =16c and 9f- 7f=2f and 15-2 =13 .

Hope it helps .

Answer:

1.9

2.14

3 19

4.24

5.29

6.34

7. 39

8.44

9.49

10.54

11.59

12.64

13.69,

14.74

15.,79

16.,84

17.,89

18.,94

19.99

20.,104

21.109

22.,114

23.,119,

24.124

25.,129

26.,134,

27.139

28. 144

29.,149,

30.154

31.,159,

32. 164,

33.169,

34.174

35.179,

36 184,

37 189

38 ,194

39 ,199

40 ,204

41 209

42 214

43 219

44 224

45 229

46 234

47 239

48 244

49 249

50 254

Step-by-step explanation:

Counting up by 5

Step-by-step explanation:

Given that,

The side lengths of a triangle are 5,3 and 4.

For a right triangle, the Pythagoras theorem is applicable. We know that, for a right triangle,

[tex]H^2=b^2+h^2[/tex]

Where

H is Hypotenuse

b is base

h is perpendicular height

If we put b = 3. h = 4, then

[tex]H^2=3^2+4^2\\\\H^2=9+16\\\\H=5[/tex]

Hence, it will form a right triangle.

Answer:

From the question it is given that x<0 and y>0 or in other words x is negative and y is positive.

(a)x y : x is negative and y is positive

⇒negative x positive = negative

Therefore, xy is negative

(b)x[tex]y^{2}[/tex] :  x  is negative and [tex]y^{2}[/tex] is positive

⇒negative x positive = negative

Therefore, x[tex]y^{2}[/tex] is negative

(c) (x − y)xy : x  is negative and [tex]y^{2}[/tex] is positive

⇒(x − y) is negative and xy is negative {from (a)}

⇒negative x negative = positive

Therefore, (x-y)xy is negative

(d) y(y − x): x is negative and y is positive

here y - x is positive

⇒positive x positive = positive

Therefore, (y-x)y is negative

Answer:

Step-by-step explanation:

5x + y = 9

-10x + 7y = 18

10x + 2y = 18

-10x + 7y = 18

9y = 36

y = 4

5x + 4 = 9

5x = 5

x = 1

(1,4)

answer is D

Answer:

350 ml

Step-by-step explanation:

70% of 500 ml = 0.7*500 ml = 350 ml

Answer:

350 ml

Step-by-step explanation:

70% of 500 ml = 0.7*500 ml = 350 ml

Answer:

2n+7

Step-by-step explanation:

find the difference

and see the difference from the 2 Times table to the original sequence

and write it as an equation for this sequence

Answer:

A

Step-by-step explanation:

Answer: 5(3n+4r)

Step-by-step explanation:You need to find the gcf/factor .So the gcf of 15 and 20 is 5.So know that you know the gcf ,you divide 15n by 5 which gives you 3n and divide 20r by5 which gives you 4r.Now the last thing you do is,take the GCF which is 5 and place a Parentheses and take 3n and 4r and add them together.

So you get 5(3n+4r) as your expression that  is equivalent to  15n + 20r .

Hope it helps . :)

Answer:

ok Naruto

Step-by-step explanation:

49.6

Answer:

I am pretty sure the answer is A

Step-by-step explanation:

Answer:

I think but l sure answer is A

Answer:

Option 2: none of these

Step-by-step explanation:

-x +2y= 4

x-intercept occurs at y=0.

When y=0,

-x +2(0)= 4

-x= 4

x= -4

Thus, x-intercept is (-4,0).

y-intercept occurs at x=0.

When x=0,

0 +2y= 4

2y= 4

y= 4 ÷2

y= 2

Thus, y-intercept is (0,2).

*When writing coordinates, the x and y coordinates are separated by a comma in the bracket. If the 3rd option is a comma instead of a dot (which could instead denote a multiplication sign), it would be the correct option.

Answer:

3.9

Step-by-step explanation:

bshwhsbwjwwjusushs

The value of the given division 469.4 ÷ 62 will be 7.57.

In mathematics, the arithmetic operation has four main operators such as addition, subtraction, multiplication, and division.

The symbol of + represents addition.

The symbol of - represents subtraction

The symbol of × represents multiplication

The symbol of ÷  represents division.

Given the division,

469.4 ÷ 62

⇒ 7.570967742

Rounded to the nearest tenth decimal place

⇒7.57

Hence "The resultant of the 469.4 ÷ 62 is 7.57 ".

To learn more about the arithmetic operators,

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Answer:

 -4

Step-by-step explanation:

Answer:

False the radius would be 6.5

Step-by-step explanation:

Hope this Helps! :)