Choose the correct reason to justify each of the first four statements in the derivation. 1) a2 = h2 x2

The inequality to determine when the cost of viewing n videos using

plan A is less than the cost of viewing n videos using plan B.

8 + 3n < 5n

Plan A is less expensive when n is greater than 2.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Two monthly plans:

Plan A:

Cost per video = $3

Flat rate per month = $8

Plan B:

Cost per view = $5

Flat rate = zero

The inequality to determine when the cost of viewing n videos using

plan A is less than the cost of viewing n videos using plan B.

8 + 3n < 5n

Solving for n.

8 < 5n - 3n

8 < 2n

8/4 < n

n > 2

This means when n is greater than 2 we get,

The cost of viewing n videos using plan A is less than the cost of viewing n videos using plan B.

Thus,

The inequality to determine when the cost of viewing n videos using

plan A is less than the cost of viewing n videos using plan B.

8 + 3n < 5n

Plan A is less expensive when n is greater than 2.

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Answer:

below

Step-by-step explanation

If they EACH  sold 200 pieces

then Lou sold   200 x 20% = 200 x .20 = 40 rings which is 5 more than Jacob

Answer:

- 2.75  or - 2 [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Put in zero for x to solve for y

11x -8y = 22

11(0) -8y = 22

-8y = 22  Divide both sides by -8

y = -2.75

(0, -2.75)

Answer:

[tex]-\frac{22}{8}[/tex] or [tex]- \frac{11}{4}[/tex] in mixed number form, [tex]-2\frac{3}{4}[/tex] simplified

Step-by-step explanation:

Minus 11x from 11x and 22.
You will then get -8y=11x+22.
Divide all the numbers by -8y.
You will get y=-11/8x-22/8
So the y-intercept is -22/8 or -11/4
I hope I got this right

The standard form of the equation -8x + 3x² = -19 is 3x² - 8x + 19 = 0.

The standard form of quadratic equation is ax² + bx + c = 0, where 'a' is the leading coefficient and it is a non-zero real number.

The standard form of quadratic equation with a variable x is of the form ax² + bx + c = 0, where a ≠ 0, and a, b, and c are real numbers.

Therefore, a, b and c are constant and x are the variables.

Let's represent the quadratic equation in standard form.

-8x + 3x² = -19

using the format ax² + bx + c = 0,

3x² - 8x + 19 = 0

where

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standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-1})\hspace{10em} \stackrel{slope}{m} ~=~ 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{ 3}(x-\stackrel{x_1}{4}) \implies y +1= 3 (x -4) \\\\\\ y+1=3x-12\implies y=3x-13\implies \underline{-3x+y=-13}\implies 3x-y=13[/tex]

now, notice, the equation should  have a positivized "x" term, however the material is suggesting "incorrectly" the one that's underlined.

Rewritten equation using a common factor is (1) [tex]\frac{1}{4}xy(x^{2} +3y)[/tex].

Given equation,

[tex]\frac{1}{4}x^{3}y+\frac{3}{4}xy^{2}[/tex]

Taking  [tex]\frac{1}{4}xy[/tex]  common,

[tex]\frac{1}{4}xy(x^{2} +3y)[/tex]

Hence, the equation.

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Given that there will be 14 fires in a year, there will be an expected number of fires. There are more than 1000 points available in this question. We must determine the probability that a woman owned.

In a year, a fire will harm one in 12 homes. That is, given if n is equal to 12 and that the value of x is equal to 1, the probability of x being equal to 1 is also equal to 1. Hence, due to fire damage. We discovered that the probability value p equals 0.014, and we are aware that, in general, binomial probability, or the probability that x equals x, is equal to c x, p to the power of x times q to the power of n minus x. Substituting all of these values into the formula, where q = 1 - p, gives us the value of 12 c 1, or 0.014. The total power of 1 for q is 1 minus p, or 1 minus 0.014. 11 points is the power of 12 as a whole less 1. The result of simplification is 0.143865, so Therefore, we have determined that the likelihood of one out of every twelve homes experiencing fire damage is 0.143865 percent.

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Answer:

4-1=3

5(4-1)    15

2(4)-2(1)   6

1-4    -3

Step-by-step explanation:

here you go...

please mark brainliest

Answer:

Step-by-step explanation:

a) :x-y=3(a) 5(x-y) = 5×3 =15

:. 5(x-y)=15

b)  2x-2y = 2(x-y)

      2(3) =2*3=6

      :. 2x-2y=6

c) y-x = -(x-y)

     -(x-y) = -(3).

   :. y-x=-3

In the given ratio, the statement "5 is bigger than 3, so I must have more hits than Katy." is false. Because this one refer the missing rate.

Ratio:

The relationship between two things when it is expressed in numbers or amounts is known as ratio.

Given,

Ben and Katy throw darts at a target. Ben's ratio of hits to misses is

5:1 Katy's ratio of hits to misses is 3:1

Ben says, "5 is bigger than 3, so I must have more hits than Katy."

Here we need to show that this might not be true.

Here we have the following missing ratios,

Ben's missing ratio = 5 : 1

Katy's missing Ratio = 3 : 1

Here Ben says  "5 is bigger than 3, so I must have more hits than Katy."

While we carefully, looking into the given question, we have identified that the given ratios are represents the loosed dart.

So, the given statement is wrong.

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2x-3y=6

Intercepts

x= 3

y= 2

ordered pairs: (6,2) (1.2,-1.2)

The graph A is correctly shows for the line s, line t, and point P.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The equation of line for s,

⇒ y = 1/3x - 3

And, The equation of line for t,

⇒ y = - x + 5

Now,

Solve the both equation of line for the solution as;

Since, The equation of line for s,

⇒ y = 1/3x - 3

And, The equation of line for t,

⇒ y = - x + 5

Equate both equation, we get;

⇒ 1/3x - 3 = - x + 5

⇒ 1/3x + x = 5 + 3

⇒ 4/3x = 8

⇒ x = 8 × 3 / 4

⇒ x = 2 × 3

⇒ x = 6

And, ⇒ y = - x + 5

⇒ y = - 6 + 5

⇒ y = - 1

Thus, The solution of the lines is;

Point P = (6, - 1)

Clearly, The graph A is correctly shows for the line s, line t, and point P.

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Answer: Jennine must walk 11.36 blocks.

Step-by-step explanation:

Since each step is 18" long and she takes 1550 steps per block, a block must equal to 1550*18", or 27,900".

27,900" is roughly 0.44 miles.

Therefore 5mi. /0.44mi.  = ~11.36 blocks

David requires $13.5 to buy 2 more pumpkins.

Firstly calculating the cost of one pumpkin and then calculating the desired answer.

Cost of one pumpkin = total cost ÷ number of pumpkins

Keep the values in formula to find the cost of one pumpkin

Cost of one pumpkin = 33.75 ÷ 5

Performing division on Right Hand Side of the equation

Cost of one pumpkin = $6.75

Now, the amount required to buy 2 more pumpkins = 2 × 6.75

Performing multiplication on Right Hand Side of the equation

The amount required = $13.5

Thus, the amount required by David is $13.5.

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The value of x in the solution set of the inequality 9(2x+1) < 9x-18 is

x <-3.

Given inequality:

9(2x+1) < 9x-18

simplifying

9*2x + 9*1 < 9x - 18

18*x + 9 < 9x - 18

18x + 9 < 9x - 18

combining the like terms

18x - 9x + 9 < -18

9x + 9 < -18

combining the constants

9x < -18-9

9x < -27

divide by 9 on both sides

9x/9 < -27/9

x < -27/9

x < -3

Therefore the value of x in the solution set of the inequality 9(2x+1) < 9x-18 is x <-3.

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Easier to have it in the form

y=mx+c

y =x/3 + 14/3

Unfortunately not whole numbers so it won't go perfect through the edges of the boxes

Then you just make some x and y values yourself

Good starting point is 0 for both

ie when x is 0 then y =14/3

when y = 0 then x = -14

Which is off the graph in this case.

But using that idea if you pick an x or y value yourself you should be able to calculate its corresponding value.

You technically only need 2 sets of coordinates as it is a straight line but if you calculate more you can guarantee your line is correct

The volume of sphere in the diagram by entering the given radius into the volume formula is 36π cubic units.

Given that the volume of sphere is (4/3)×π×r³ and the radius is 3 units.

We want to the find the volume of sphere.

As we are given that the radius is 3 units and the volume of the sphere is (4/3)πr³.

So, firstly, we will substitute the value r=3 in the above formula, we get

V=(4/3)×π×(3)³

Now, we will simplify the above expression, we get

V=4π×9

V=36π cubic units

Hence, the volume of the sphere by entering the given radius into the volume formula for a sphere is 36π cubic units.

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Answer:

i need help in german its really inportain

The probability that the athlete is either a football player or a basketball player is 93%.

What is probability?

Football players= 51%

Basketball players= 43%

Both football and basketball= 1%

Probability = Football players + Basketball players

- Both football and basketball

Probability= 51% + 43% -  1%

Probability= 93%

Inconclusion The probability that the athlete is either a football player or a basketball player is 93%.

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The equation that he can use to find the value of the smaller is 8+2x = y and y-x = 11 where y is the larger number.

According to the question,

We have the following information:

Hynix is comparing two numbers. He knows the larger number is twice the value of 4 more than the smaller number X. He also knows their difference is 11.

Now, let's take the larger number to be y.

So, we have:

y = 2(4+x)

y = 8+2x

y-x = 11 ....(2)

Putting the value of y from above equation:

8+2x-x = 11

8+x = 11

x = 11-8

x = 3

Now, putting the value of x in equation 2:

y-3 = 11

y = 11+3

y = 14

Hence, the equation that he can use to find the value of the smaller is 8+2x = y and y-x = 11 where y is the larger number and the value of x is 3 and that of y is 14.

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Answer:

D

Step-by-step explanation:

Jimmy ate 8 , 16 , 24 sandwiches in 1 , 2 and 3 hours respectively .

To find : the no . of sandwiches Jimmy eat in 1 hour , 2 hour and 3 hours .

Given : y = the no . of sandwiches Jimmy can eat

      x = no . of hours he take in eating

Relation : y = 8 x

( i ) No . of sandwiches eaten  by Jimmy in 1 hour

x = 1

y = ( 8 * 1 )

y = 8

( ii )   No . of sandwiches eaten  by Jimmy in 2 hours

x = 2

y = ( 8 * 2 )

y = 16

( iii ) No . of sandwiches eaten  by Jimmy in 3 hours

x = 3

y = ( 8 * 3 )

y = 24

Hence , Jimmy ate 8 , 16 , 24 sandwiches in 1 , 2 and 3 hours respectively .

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118 lies in this interval , so that i should make 118 burgers with 95% sure .

Statistics, originally "description of states, countries") is the field dealing with the collection, organization, analysis, interpretation and presentation of data. When applying statistics to  scientific, industrial, or social problems, it is common to start with a statistical population or  model under study. A population can be various groups of people or things such as: For example, "everyone living in that country" or "all atoms that make up a crystal". Statistics deals with all aspects of data, including the planning of data collection with a view to designing surveys and experiments.

the calculation part has been attached below as it was difficult to write that here

∴ 118 lies in this interval , so that i should make 118 burgers with 95% sure

108 also lies in the interval but it is just expected value , if we think about the whole interval answer should be 118 .

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Answer:

Step-by-step explanation:

The answer is 1.79.

Division is breaking a number up into an equal number of parts.

Given that, 5.37 divided by 3

5.37÷3 = 1.79

Hence, 5.37 divided by 3 equals to 1.79.

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The equation of the line is, y = 2x - 9.

What is the point slope form of the equation of line?

The general form of a linear equation is y-y1=m(x-x1). It draws attention to the line's slope and one of the line's points (that is not the y-intercept).

Consider, the given two points, (11, 13) and (14, 19).

First to find the slope of the line, using the given two points,

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

[tex]m = \frac{19-13}{14-11} = \frac{6}{2} =2[/tex]

Therefore, the slope of the line is, 2.

Now to find the equation of line.

Consider, the point - slope form of the line,

[tex]y-y_1=m(x-x_1)[/tex]                 ..(1)

where, [tex](x_1, y_1)[/tex] is one of the given point and m is the slope of the line.

Here, [tex](x_1, y_1) = (11, 13), m = 2[/tex]

Substitute the values in the equation (1).

[tex]y-13=2(x-11)\\y-13=2x-22\\y=2x-22+13\\y=2x-9[/tex]

Therefore, the equation of line is, [tex]y=2x-9[/tex].

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Answer:

45 lemons can be bought with $20

Step-by-step explanation:

             +9   +9  +9    +9    +9

Lemons   9   18   27   36    x

Cost       $4  $8  $12  $16  $20

              +4   +4   +4   +4    +4