can someone please help me?? as soon as possible! would really appreciate it

x = ___ units

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:

12:06

Step-by-step explanation:

Gwendolyn Logan is not happy with you cheating.

Answer: At 12:06 their went raid

AStep-by-step explanation:

I'm sorry im just doin my job.

gwendell briggs

avbc

b

Answer:

75ft

Step-by-step explanation:

We are to find the maximum height reached by the ball. This is expressed as;

H = u²sin²Ф/2g

u is the initial velocity = 80 ft./s.

Ф is the angle = 60degrees

g is the acceleration due to gravity = 32ft/s

Substitute

H =80²sin²60/2(32)

H = 6400sin²60/64

H = 100 (0.8660)²

H = 100*0.749956

H = 74.9956

H ≈ 75ft

Hence the ball has travelled 75ft apprximately

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:

$204.98

Step-by-step explanation:

Step 1: Add both item cost

[tex]99.90 + 89.90 = 189.80[/tex]

Step 2: Find the sales tax of the result

[tex]\frac{8}{100}\times 189.8 = 15.184[/tex]

Step 3: Add the result from the total cost of both items

[tex]189.80 + 15.184 = 204.98[/tex]

The total cost of the hats and boots including sales tax is 204.98 dollars

Answer:

8 Tickets

Step-by-step explanation:

64/8 = 8 tickets

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check work:

8*8 = 64

Answer:

5q = 4p + 2

Step-by-step explanation:

4p = 5q - 2

4p + 2 = 5q - 2 + 2

5q = 4p + 2

Answer:

x = - 12, 3

Step-by-step explanation:

By tangent secant theorem:

[tex]x(x + 9) = {6}^{2} \\ \\ {x}^{2} + 9x = 36 \\ \\ {x}^{2} + 9x - 36 = 0 \\ \\ {x}^{2} + 12x - 3x - 36 = 0 \\ \\ x(x + 12) - 3(x + 12) = 0 \\ \\ (x + 12)(x - 3) = 0 \\ \\ x + 12 = 0, \: \: x - 3 = 0 \\ \\ x = - 12, \: \: x = 3 \\ \\ [/tex]

Answer: D. The ratio of a circle's circumference to its diameter

Step-by-step explanation:

Pi is the ratio of the circumference of a circle to its diameter which means that we get pie by dividing the circumference by the diameter. This relationship is true regardless of the size of the circle because the relationship between the circumference and the diameter does not change regardless of size.

Pi is very useful when calculating measures related to circles such as area and circumference. It also comes in handy for shapes that have circles in them such as cones.

Answer:

D

Step-by-step explanation:

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:

33 years and 4 months.

Step-by-step explanation:

Assuming it is a flat rate

3000 x 0.09 = $270 per year

12000-3000=9000

9000/270 = 33 years, 4 months

Answer:

8,138.88 mm³

Step-by-step explanation:

Volume of a cylinder = πr²h

Where,

π = 3.14

Radius, r = 9 mm

Height, h = 32 mm

Volume of a cylinder = πr²h

= 3.14 × (9 mm)² × 32 mm

= 3.14 × 81 mm² × 32 mm

= 8,138.88 mm³

Volume of a cylinder = 8,138.88 mm³

Quantity of pepper that will fit in the shaker = 8,138.88 mm³

Answer:

9.04

Step-by-step explanation:

18.09÷2=9.045

Rounded to the nearest cent 9.04

Answer: C

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

took the test on ap ex

Answer:

[tex]v(t) = 4(t -7)(t +1)[/tex]

Step-by-step explanation:

Given

[tex]v(t) = 4t^2 - 24t - 28[/tex]

Required

Rewrite in a different form

To write in a factored form, we have:

[tex]v(t) = 4t^2 - 24t - 28[/tex]

Expand

[tex]v(t) = 4t^2 +4t- 28t - 28[/tex]

Factorize

[tex]v(t) = 4t(t +1)- 28(t +1)[/tex]

Factor out t + 1

[tex]v(t) = (4t -28)(t +1)[/tex]

Factorize 4t - 28

[tex]v(t) = 4(t -7)(t +1)[/tex]

Answer:

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

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

Answer:

13

Step-by-step explanation:

Answer:

its the last one, answer D.

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

In mathematics, a radical expression is defined as any expression containing a radical (√) symbol. Many people mistakenly call this a 'square root' symbol, and many times it is used to determine the square root of a number. However, it can also be used to describe a cube root, a fourth root, or higher.

Answer:

x<-1

Step-by-step explanation:

I think and hope it helps

Answer:

u need to breath and calm down

Step-by-step explanation:

breath in and out for 5 sec u will feel better

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

Answer:

Milk: 1000 ml

Flour: 480 g

Butter: 250 g

Step-by-step explanation:

To calculate the amount of butter you have to figure out more flour she used.

First, 480 ÷ 120 = 4 So she uses 4 times the amount of flour.

Then, 60 × 4 = 240

Next, you need the amount of milk so we also multiply by 4.

250 × 4 = 1000

Lastly, have a great day!

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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:

100 cubic inches

Step-by-step explanation:

If she fills 3 inches of the pitcher with sugar, the height will be reduced from 7 inches to 4.

Find how many cubic inches are left for lemonade by finding the volume

Use the volume formula, V = lwh

V = lwh

V = (5)(5)(4)

V = 100

So, there are 100 cubic inches left for lemonade

Answer:

Try 64. I think its right. I could be wrong though

Step-by-step explanation: