need help fast !!!!!!!!!!!!!!!!!!!!!

Answer:

30 students: $346.5

1 student: $11.55

Step-by-step explanation:

It would cost a total of $57.75 every 5 student so just multiply by 6 to get your amount for 30 students. Then divide by 30 to get the amount per student.

Given:

The given function is:

[tex]\dfrac{(x^3+1)(x-2)}{x^2}[/tex]

To find:

The differentiation of the given function.

Solution:

Consider the given function,

[tex]y=\dfrac{(x^3+1)(x-2)}{x^2}[/tex]

It can be written as:

[tex]y=\dfrac{(x^3)(x)+(x^3)(-2)+(1)(x)+(1)(-2)}{x^2}[/tex]

[tex]y=\dfrac{x^4-2x^3+x-2}{x^2}[/tex]

[tex]y=\dfrac{x^4}{x^2}-\dfrac{2x^3}{x^2}+\dfrac{x}{x^2}-\dfrac{2}{x^2}[/tex]

[tex]y=x^2-2x+\dfrac{1}{x}-\dfrac{2}{x^2}[/tex]

Differentiate with respect to x.

[tex]y'=\dfrac{d}{dx}(x^2)-\dfrac{d}{dx}(2x)+\dfrac{d}{dx}(x^{-1})-\dfrac{d}{dx}\2(x^{-2})[/tex]

[tex]y'=2x-2(1)+(-x^{-2})-2(-2x^{-3})[/tex]

[tex]y'=2x-2-\dfrac{1}{x^2}+\dfrac{4}{x^3}[/tex]  

Therefore, the differentiation of the given function is [tex]2x-2-\dfrac{1}{x^2}+\dfrac{4}{x^3}[/tex].

Answer:

To find your answer you would subtract $6.50 and $2.85 from $14.85

you would get $5.50 so that is how much she spent on a round trip ticket to the zoo.

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Point A is (2, 3)

Point B is (6, 5)

To get the slope of a line, first select any two points on that line.

Then, take the difference of the y values, and divide it by the difference of the x values. This is also known as the change in y over the change in x, or rise over run.

[tex]\frac{3-5}{2-6} =\frac{-2}{-4} =\frac{1}{2}[/tex]

1/2 is the slope.

Answer:

√13

Step-by-step explanation:

Distance formula

√(4-2)²+(5-2)² = 2²+3² = √4+9 = √13

Answer:

x<-1

Step-by-step explanation:

I think and hope it helps

Step-by-step explanation:

we have

5x+4=2x+9

5x-2x=9+4

3x=13

x=13/3

Answer:

x = 13/3

Step-by-step explanation:

Now we have to,

→ find the required value of x.

Forming the equation,

→ 2x + 9 = 5x - 4

Then the value of x will be,

→ 2x + 9 = 5x - 4

→ 2x - 5x = -4 - 9

→ -3x = -13

→ x = (-13)/(-3)

→ [ x = 13/3 ]

Hence, the value of x is 13/3.

Answer:

D. y+5 = -2(x+4)

Step-by-step explanation:

[tex] \large \boxed{y - y_1 = m(x - x_1)}[/tex]

The equation above is point-slope form where x1 and y1 both are the point that the graph passes through ane m is slope as usual.

We are given the point (-4,-5) and slope of -2. We substitute these values in.

[tex] \large{y - ( - 5) = - 2(x - ( - 4))} \\ \large{y + 5 = - 2(x + 4)}[/tex]

Answer:

(-1, -2) or x=-1 y=-2

Step-by-step explanation:

3x+y=-4      (1)

3x-4y=6      (2)

i used the first equation to subtract the second this cancels out the x

and you are left with:

5y=-10

y=-2

plug this back in:

2x+(-2)=-4

2x-2=-4

add 2 to both sides:

2x=-2

x=-1

============================================================

Explanation:

We're told that "The black trapezoid is a dilation of the green trapezoid". This means the black trapezoid is the image, while the green one is the preimage. In other words, the green is the "before" and the black is the "after". The mapping is [tex]\text{green} \to \text{black}[/tex] because of the ordering [tex]\text{preimage} \to \text{image}[/tex]

Since the green figure (preimage) is larger than the black figure (image), the scale factor must be some value k such that 0 < k < 1. That narrows the answer choices between A and B.

Focus on the green trapezoid. The bottom left corner is at (-10,0). The bottom right corner is at (5,0). The distance between these two points is 15 units.

Using the same idea, the distance along the bottom edge of the black trapezoid is 3 units. We can count out the spaces along the bottom, or we can note the two bottom corners are at (-2,0) and (1,0).

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

So far we found:

These two edges correspond to one another. We divide the values to get the scale factor. We divide the image length over its corresponding preimage length.

scale factor = (image length)/(preimage length)

scale factor = 3/15

scale factor = 1/5

Answer:

35.................

Answer:

The volume would be 86.63 feet squared

Hope this helps!

Mark me brainliest if I'm right :)

Answer:

R=(180-100)/2=40.

Step-by-step explanation:

Answer. Answer: (1) The measure of angle T is 100 degrees --> since no other angle can be equal to 100 degrees (because in this case the sum of the angles will be more than 180 degrees) then the other two angles, R and S, are equal: R=(180-100)/2=40.

Thats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya Lungs

Answer:

[tex]x = \frac{1}{4} [/tex]

[tex]y = \frac{2}{4} [/tex]

Answer:

56

Step-by-step explanation:

The simplest way to do this is to divide 3 by 21 to get 7.  This means that it takes $7 to buy one T-shirt.  If you multiple 8 X 7, you get 56.  This mean that the correct answer is A. $56.00

Hope it helped and have a great day :)

Answer:

0=2

There are no solutions

Step-by-step explanation:

Answer:

2x – 5x + 16 = – 3(x – 6)

-3x + 16 = - 3x + 18

-3x + 3x + 16 = 18

16 = 18

Thus, This is a False Equation

-TheUnknownScientist

Answer: Y= 7, X= 6

Step-by-step explanation:

Answer:

turtles are vulnerable. so A is your correct answer

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

325/18

= 18.055...   minutes

= 18 minutes to nearest minute.

Answer:

what number

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

30-5x-10

-5x+30-10

-5x+40

-5x= -40

divide both sides by -5

-5x/-5= -40/-5

x=8

Answer:

5q = 4p + 2

Step-by-step explanation:

4p = 5q - 2

4p + 2 = 5q - 2 + 2

5q = 4p + 2

Answer:

A) 0.08260 cubic meter

B) 106.554 grams

C) 1.044 Newton

Step-by-step explanation:

A) Volume = mass/density

Substituting the given values, we get -

Volume = [tex]\frac{76000}{0.92} =82608.69[/tex] cubic centimeter

[tex]= 0.08260[/tex] cubic meter

B) Mass = volume * density

Mass of air =

[tex]= 0.08260 * 1.29 \\= 0.106554\\[/tex]Kilogram

[tex]106.554[/tex] grams

C) Buoyant force = density * acceleration due to gravity * Volume

Buoyant force due to air  =

[tex]0.08260 * 9.8 * 1.29 \\1.044[/tex]Kg-m/s or Newton