No additional support is required for this installation (the earth can support the conduits) if the conduit length from the finish surface (dirt here) to the box is ___ inches or less.

[tex]3\sqrt 8 - 3\sqrt{16}\\\\=3\sqrt{4 \times 2} -3 \sqrt{4^2}\\\\=3\cdot 2 \sqrt 2 - 3\cdot 4\\\\=6\sqrt 2 - 12\\\\=6\left(\sqrt 2-2 \right)[/tex]

Answer:

x = -5/6

Step-by-step explanation:

Since it is on the unit circle  

  x^2   +  ( -sqrt(11)/6)^2    = 1 ^2     (pythagorean theorem)

x^2 = 1 - 11/36

x^2  = 25 /36

x =   +-5/6       since x is in Q III  it is the negative

Answer:

Step-by-step explanation:

The payment for sessions makes a series

This series is GP with the first term of 5 and common ratio of 5.

The nth term would be

Use the equation above and find the 7th term

Answer:

[tex]a_7=5(5)^{6}[/tex]

78125 dimes

Step-by-step explanation:

The given scenario can be modeled as a geometric sequence.

A geometric sequence has a common ratio (multiplier) between each term, so each term is multiplied by the same number.

General form of a geometric sequence:

   [tex]a_n=ar^{n-1}[/tex]

where:

Given:

Therefore, a = 5

Given:

Therefore, r = 5

Substitute these values into the formula to create an equation for the nth term.

[tex]\implies a_n=5(5)^{n-1}[/tex]

To find the number of dimes he will pay after 7 sessions, simply substitute n = 7 into the found equation:

[tex]\implies a_7=5(5)^{7-1}[/tex]

[tex]\implies a_7=5(5)^{6}[/tex]

[tex]\implies a_7=5 \cdot 15625[/tex]

[tex]\implies a_7=78125[/tex]

Therefore, the friend will pay 78125 dimes after the 7th study session.

Step-by-step explanation:

3.A

2.59 %

3.B

.16 x 2,000 = 320

Step-by-step explanation:

keisha got the both of em 10 times 8 would be 80 and then she paid for 2 15 dollar ones

Answer:

2<=x<=5, range: 48-120 hours

Step-by-step explanation:

The minumum days is 2 and the maximum is 5, making our inequality 2<=x<=5, to find the range in hours we multiply 2 and 5 by 24 since there are 24 hours in a day.

Answer:

205 minutes

Step-by-step explanation:

If Monica has already practiced 18% of her time, we know that she has practiced [tex]\frac{18}{100}[/tex]. If this 18% corresponds to 45 min, we can have the following equation: [tex]\frac{18}{100} = \frac{45}{x}[/tex]. We can rearrange the equation to find the value of x by doing [tex]x = \frac{45 \cdot 100}{18} = 250[/tex], so she practices 250 min every Wednesday. If we subtract the time she has already practiced (45 min) we find out she still has to practice more 205 min.

The glass part of the frame is an illustration of fractions

The width of each side of the frame is 5 1/4 inches

The given parameters are:

Represent the width of each side with x.

So, we have:

Glass part + 2x = Total width

Substitute known values

31 1/2 + 2x = 42

Subtract 31 1/2 from both sides

2x = 10 1/2

Divide both sides by 2

x = 5 1/4

Hence, the width of each side of the frame is 5 1/4 inches

Read more about fractions at:

https://brainly.com/question/1622425

Answer:

Circumference shares the same concept with perimeter.

First, let's use the formula for the circumference of a full circle.

C = 2πr

Where 'π' stands for pi(22/7 or 3.14) and 'r' stands for the radius.

or

C = πd

Where 'π' represents pi(22/7 or 3.14) and 'd' stands for the diameter.

But, we are trying to find a semi-circle's circumference. So, what you would do is that you would divide the whole product of the formula by 2.

For this, I'll be using this formula C = πd. Though, since we are dividing by 2 we can apply that to the diameter and make it a radius in our formula.

So the 'd' in the formula will be 'r'.

Now, let's find the radius.

D/2 = R

So,

35/2 = 17.5

Use this in our formula:-

C = πr

C = 3.14(17.5)

C = 54.95 inches.

Answer:

x=20⁰

Step-by-step explanation:

Since they are vertically opposite angles

x+20⁰=40⁰

---------

| x=20⁰ |

--------

Answer:

you need to multiple or add if you multiple your answer is 1080 and if you add your answer is 240 am I correct see for yourself

Answer:

24sq in

Step-by-step explanation:

L x W = x

8 x 3 = x

24 = x

Answer:

449189

Step-by-step explanation:

Answer:

449, 189

Step-by-step explanation:

276,947 + 449,189 = 726, 136

Answer: It's $619.98

The marginal relative frequency for the people who do not like cantaloupe is 0.455.

This refers to the addition of the joint relative frequencies in a row or column of a data table.

Hence, we would make a representation of the table from the result of the survey of 200 random people is:

                              Watermelon      Not watermelon    Total

Cantaloupe                  93                       16                         109

Not cantaloupe           66                       25                         91

Total                           159                       41                          200

So, the marginal relative frequency for the people who do not like cantaloupe is 0.455.

Read more about marginal relative frequency here:
https://brainly.com/question/14101732

Answer:

C) 91/200

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

Answer:

2 and 3

If you want to get complicated, then 2.39 and 2.61.

Step-by-step explanation:

5 = x + y

5 = 2 + 3

5 = 5

Answer:

a = 8 2/3.

Step-by-step explanation:

The y coordinate of the point is 5, andthe x coordinate is a so substituting for these in the given equation:

3a - 4(5) = 6

3a  - 20 = 6

3a = 26

a = 26/3

= 8 2/3

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

here , we've been given a point with coordinates ( a , 5 ) and an equation ( 3x - 4y = 6 ).

Coordinate geometry deals with parameters related to points over cartesian plane , where a points , say G , has two coordinates x and y.

the coordinates are written as ( x , y ) , where x is the x coordinate or abcissa and y is the y coordinate or ordinate.

for getting the solution to the question asked , let us think of x as a and y as 5.

Now ,

substituting the values of x and y in the equation ,

[tex]3x - 4y = 6 \\ \implies \: 3(a) - 4(5) = 6 \\ \implies \: 3a - 2 = 6 \\ \implies \: 3a = 6 + 20 \\ \implies \: 3a = 26 \\ \implies \: a = \frac{26}{3} [/tex]

let's once check , if we've arrived at the correct result or no.

This can be done , by putting value of x as [tex]\frac{26}{3}\\[/tex] which is the value of a.

So ,

[tex]3x - 4y = 6 \\ \\ \implies \: \cancel3 (\frac{26}{\cancel3} ) - 4(5) = 6\\ \\ \implies26 - 20 = 6 \\ \\ \implies \: 6 = 6[/tex]

hence , verified !

Therefore ,

[tex]\bold\red{a = \frac{26}{3} }\\ [/tex]

hope helpful :D

Answer:

Step-by-step explanation:

Not QUITE a parabola . but up until y = 4 it is close

Vertex =  (-7-10)

Vertex form of parabola

y = a ( x+7)^2 -10     find a integer-coordinat point to calculate 'a'

                                     I'll use -18,0

0 = a(-18+7)^2 -10

0 = 122 a  -10     a = 10/122

y = 10/122 (x+7)^2 - 10     see graph below:

Answer:

Option B, [tex]396\ units^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the bottom

[tex]A = l * w[/tex]

[tex]A = 12\ units * 8\ units[/tex]

[tex]A = 96\ units^2[/tex]

Step 2:  Determine the area of the back

[tex]A = l * w[/tex]

[tex]A = 9\ units * 8\ units[/tex]

[tex]A = 72\ units^2[/tex]

Step 3:  Determine the hypotenuse

Pythagorean theorem → [tex]a^2 + b^2 = c^2[/tex]

[tex]12^2 + 9^2 = c^2\\[/tex]

[tex]144 + 81 = c^2[/tex]

[tex]225 = c^2[/tex]

[tex]\sqrt{225} = \sqrt{c^2}[/tex]

[tex]15 = c[/tex]

Step 4:  Determine the area of the top

[tex]A = l * w[/tex]

[tex]A = 15\ units * 8\ units[/tex]

[tex]A = 120\ units^2[/tex]

Step 5:  Determine the area of the triangles

[tex]A = \frac{h\ *\ b}{2}[/tex]

[tex]A = \frac{9\ units\ *\ 12\ units}{2}[/tex]

[tex]A = \frac{108\ units^2}{2}[/tex]

[tex]A = 54\ units^2[/tex]

Step 6:  Determine the surface area

[tex]96\ units^2 + 72\ units^2 + 120\ units^2 + 2(54\ units^2)[/tex]

[tex]396\ units^2[/tex]

Answer: Option B, [tex]396\ units^2[/tex]

Answer:

75

Step-by-step explanation:

9 divided by 2.70 = 3.33333333333

22.50 times 3.33333333333 = 75

hope that this helped :)

Answer:

75 prints

Step-by-step explanation:

22.5/0.3 because 2.70/9 is 0.3 then 22.5/0.3 then you'll get the answer

Answer:

[tex] \frac{2}{5} + \frac{1}{3} \\ = \frac{2 \times3 + 1 \times 5 }{15} \\ = \frac{6 + 5}{15} \\ = \frac{11}{15} [/tex]

it is right answer

Step-by-step explanation:

This is an example like it , because I 'm lazy to write it ...

Answer:

  84 cm³

Step-by-step explanation:

The volume of a pyramid is given by the formula ...

  V = 1/3Bh

where B is the area of the base.

__

The base is shown as a right triangle with legs 8 cm and 7 cm. Its area is given by the triangle formula ...

  A = 1/2bh

  A = 1/2(8 cm)(7 cm) = 28 cm²

Then the volume of the triangular pyramid is ...

  V = 1/3(28 cm²)(9 cm) = 84 cm³

Answer: 84

Step-by-step explanation:

Answer:

⅛

Step-by-step explanation:

There are two sides of a coin which means that the profanity of getting one side of the coin is ½.

There are 14 candies in total of which 7 are red, meaning that the probability of getting a red candy is 7/14, which is the same as ½.

There are 6 sides to a die, of which 3 sides contain the odd numbers 1,3 and 5. This would mean that the probability of getting an odd number on the die is 3/6, which is the same as ½.

Now to work out the probability of getting a red candy, a heads and an odd number on the die, you have to times the probability of each together to get you final answer.

So it will be, ½×½×½=⅛

Answer:

x=10

Step-by-step explanation:

As the two triangles are similar, the value of x = 10.