Find the surface area of the prism shown below.

Step-by-step explanation:

The root is

-sqr root of 5.

First, we put these roots in the forn of

[tex](x - a)[/tex]

where a is the root

So we have

[tex](x - ( - 2))(x - \sqrt{5} )(x - \frac{10}{3} )[/tex]

[tex](x + 2)(x - \sqrt{5} )(3x - 10)[/tex]

[tex](3 {x}^{2} - 4x - 20)(x - \sqrt{5} )[/tex]

To get rid of that square root, let have another root that js the conjugate posive root of 5.

[tex](3 {x}^{2} - 4x - 20)(x - \sqrt{5} )(x + \sqrt{5} )[/tex]

[tex](3 {x}^{2} - 4x - 20)(x {}^{2} + 5)[/tex]

Which will gives us a rational coeffeicent of degree 4.

Why we didn't do

[tex](x - \sqrt{5} )[/tex]

?

Because

[tex](x - \sqrt{5} ) {}^{2} = {x}^{2} - 2 \sqrt{5} + 5[/tex]

If we foiled out we will still have a irrational coeffceint.

Answer:

the next three numbers should be 8, 4, 0

Step-by-step explanation:

it reduces by 4 each time

24 - 4 = 20

20 - 4 = 16

16 - 4 = 12

12 - 4 = 8

8 - 4 = 4

4 - 4 = 0

First term =a=24

common difference=d=20-24=-4

Formula

a_5

a_6

a_7

Answer:

The pairs of lines that do not intersect or meet at any point are called parallel lines. These lines lie on the same plane but do not intersect. The line segments or rays that lie on the same plane but do not intersect are also parallel.

Step-by-step explanation:

Answer

A parallel line is a position of two lines on a plane that does not have a point of intersection even though the two lines are extended.Geometrically, parallel lines will never meet each other because they have the same slope (gradient). Parallel lines do not have to be the same length

Answer:

yes

Step-by-step explanation:

if (x + 2) is a factor of the polynomial , then if x = - 2 gives the polynomial a value of zero it is a factor

(- 2)³ + 5(- 2)² - 4(- 2) - 20

= - 8 + 5(4) + 8 - 20

= - 8 + 20 + 8 - 20

= 0

since polynomial = 0 then (x + 2) is a factor

Answer:

45 dimes and 75 nickels

Step-by-step explanation:

3 ÷ 8 × 120 = 45

you divide the three by both ratios summed up (8) and then you multiply that by the coins

doing so will you can get 45

and to get the amount of nickels you just subtract 45 from 120 and you get 75

Answer:

16

Step-by-step explanation:

2^10 = 1,024

2^6 = 64

1,024/64 = 16

Hope that helps!

Answer:

Length: 200

Width: 5

Step-by-step explanation:

The perimeter of 120 and 85 is 410

The perimeter of 200 and 5 is 410

The area of 200 and 5 is 200 times 5 which is 1000

The area of 120 and 85 is 120 times 85 is 10200

Answer:

reflected image shown in red on attached diagram

Step-by-step explanation:

When reflecting an object in the line x = a:

So when reflecting in the line x = 1

(2, 7) → (0, 7)

(2, 4) → (0, 4)

(4, 4) → (-2, 4)

Answer:

$2.29

Step-by-step explanation:

1. Divide $11.90 by 5.2

2. 11.90➗5.2 = 2.88 but you round the number so it will be 2.29

Hope this helps :)

The solution of the system of the equations shown is where the equations intersect

   --> (-7, 1)

Hope that helps!

Answer:

(-7, 1),

Step-by-step explanation:

The solution is the coordinates of the point of intersection.

At this point x = -7 and y = 1.

Market share is simply the percentage of the total revenue or sales in a market which a particular business makes.

Your information is incomplete. Therefore, an overview of the market share will be given. Market share is a measure of consumers' or businesses' preference for a product over other similar products.

A higher market share means greater sales and less effort is needed to sell more and a strong barrier to entry for other competitors.

For example, if there are 50,000 units sold per year in an industry, a company that has sales of 5,000 of those units would then have a 10 percent share in that market.

Learn more about market share on:

https://brainly.com/question/25309906

Answer:

x-b=-3

Step-by-step explanation:

1. Simplify

|x-b|=c

x-b=c

If c=-3 then,

Answer= x-b=-3

Answer:

In image

Step-by-step explanation:

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

{11, 13, 13, 14, 14, 16, 18, 23, 24}

As it's odd

Median:-

Median is 5th term 14

Answer: 343pi/18

Step-by-step explanation:

Answer:

n = 17

Rule:  y = 2x + 1

Step-by-step explanation:

By inspection of the first two ordered pairs in the given table, it appears that for each 1 unit increase in x, y increases by 2 units.

To check this, write the ordered pairs with 5 ≤ x ≤ 10 using this rule:

(5, 11)  (6,13)  (7, 15)  (8, 17) (9, 19) (10, 21)

As the ordered pair (10, 21) appears in the table, then we can confirm that this is the rule and that it is a linear function.

If y increases by 2 units for every 1 unit increase of x, then the slope of the linear function will be 2.

Using the point-slope form of a linear function: [tex]\sf{y-y_1=m(x-x_1)}[/tex]

(where m is the slope and [tex]\sf(x_1,y_1)[/tex] is a point on the line)

Given:

Substituting these values into the formula:

[tex]\implies \sf{y-11=2(x-5)}[/tex]

[tex]\implies \sf y=2x+1[/tex]

Therefore, the rule is [tex]\sf y=2x+1[/tex]

To find n, simply substitute x = 8  and y = n into the equation:

[tex]\implies \sf n=2(8)+1=17[/tex]

Therefore, n = 17

Take 2 points and form equation

Slope:-

Equation in point slope form

So

for n

Answer:

5 bicycles

Step-by-step explanation:

5 * 2 = 10 wheels

7 * 3 = 21 wheels

10 + 21 = 31

Hope this helped! Brainliest :)

Answer:

Step-by-step explanation:

Angle formed by two chords is half the sum of the intersepted arcs:

Angle formed outside by two tangents is half the difference of intercepted arcs:

Find the arc measure:

Angle formed outside by two secants is half the difference of intercepted arcs:

Answer:

The answer is 4 dogs

Step-by-step explanation:

Let the number of dogs be x

=>The number of cats = 2x

=> The number of parrots = 3x

2x + 3x = 20

=>5x = 20

=>5x ÷ 5 = 20 ÷ 5

=>x = 4

They could have the maximum number of dogs is 4 dogs.

The given is,

An animal shelter has a total of 20 cats, dogs, and parrots.

There are at least twice as many cats as dogs and at least 3 times as many parrots as dogs.

A maximum is a unique number for a given set of data. This number can be repeated, but there is only one maximum for a data set.

Let the number of dogs be x

The number of cats = 2x

The number of parrots = 3x

2x + 3x = 20

5x = 20

5x / 5 = 20 / 5

x = 4

Therefore the are 4 dogs.

To learn more about the maximum numbers visit:

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Answer:

x=3

Step-by-step explanation:

4(x-2)=4.         divide both sides by 4

x-2=1.               add 2 to both sides

x=3

Answer:

2(x-4)

Step-by-step explanation:

* means multiplied by

2 is multiplied by the difference of a number and 4

multiplied by separates

2 AND "by the difference of a number and 4"

"by the difference of a number and 4" is in a parenthesis

"a number" means x

"the difference" means minus or -

2 is multiplied by the difference of a number and 4 =

2 * (x-4) =

2(x-4)

Answer:

if it is just the 10+36-6 then that is 40 but then if it is 2/5 10+36-6 then that would be 16

Step-by-step explanation:

add 10 and 36 which is 46 then subtract 6 which is 40 then get the 2/5 which would be 16 hope this helps you

Answer: The volume of the cylinder is 125, 600 cm^3

Step-by-step explanation:

Volume = 3.14 x Radius^2 x Height

Volume = 3.14 x 20^2 x 100

Volume = 3.14 x 400 x 100

Volume = 125,600 cm^3

Answer:

To determine the ratio of the note B to middle C, we need to find the frequency of note B and then divide it by the frequency of middle C.

The frequency of note B is 493.9 Hz, and the frequency of middle C is 261.6 Hz.

Therefore, the ratio of the frequency of note B to middle C is:

493.9 / 261.6 = 1.8877

So the answer is (A) 1.8877

Answer:

25 - 9(z)²

Step-by-step explanation:

Hope this helps :)

Step-by-step explanation:

well, the approach is totally simple : we use (x+3) everywhere where we have "x" in the function expression.

so,

f(x+3) = 2(x+3)² - 3(x+3) + 4 =

= 2(x² + 6x + 9) - 3x - 9 + 4 =

= 2x² + 12x + 18 - 3x - 9 + 4 =

= 2x² + 9x + 13

Answer: yes it would change my answer for what is a better buy

Step-by-step explanation: if you buy a $1.98 large soda for 50¢ off you’ll have a $1.48 soda that is only 30¢ more but the size is significantly larger