Evaluate and simplify the following complex fraction. 9 − 5 − 3 8 = 8 −3 ​ −5 9 ​ ​ =start fraction, space, start fraction, 9, divided by, minus, 5, end fraction, space, divided by, start fraction, minus, 3, divided by, 8, end fraction, end fraction, equals

From your previous questions, you know

(3w + w⁴)' = 3 + 4w³

(2w² + 1)' = 4w

So by the quotient rule,

R'(w) = [ (2w² + 1)•(3w + w⁴)' - (3w + w⁴)•(2w² + 1)' ] / (2w² + 1)²

That is, the quotient rule gives

R'(w) = [ (denominator)•(derivative of numerator) - (numerator)•(derivative of denominator) ] / (denominator)²

I'm not entirely sure what is meant by "unsimplified". Technically, you could stop here. But since you already know the component derivatives, might as well put them to use:

R'(w) = [ (2w² + 1)•(3 + 4w³) - (3w + w⁴)•(4w) ] / (2w² + 1)²

Answer:

104

Step-by-step explanation:

Answer:

appreciate it man

Step-by-step explanation:

best of luck

Answer:

x > 1 The open cicle dot should be on 1 and should go beyond 1. So 1,2,3,4...etc

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3p - 1 = 5(p-1) -2(7-2p)

(simplify)

3p -1 = 5p-5-14+4p

3p-1 = 9p-19

(make p the subject)

3p-9p = -19+1

-6p = -18

p = -18/-6

p = 3

es 6

Step-by-step explanation:

3p-1=  5p-5-14mas4p

3p-4p-5p= -5-14mas1

3p-4p-5p= -18

3p-9p=-18

_3p=-18

p=-18:-3

p=6

Answer:

r=100.1x

Step-by-step explanation:

Answer:

55      91

 —— • (x^——)

 10      5

Step-by-step explanation:

Answer:

D.

Step-by-step equation:

I don't know but i think this is the answer.

The roots of the equation are x = 0.5205 and x = -0.8538. These roots are real, rational and unequal, thus option (B) is the correct answer.

A quadratic equation is a polynomial which has the highest degree equal to two. It is a second-degree equation of the form ax² + bx + c = 0, where a, b, are the coefficients, c is the constant term, and x is the variable.

For the given situation,

The equation is 9x^2 + 3x – 4 = 0

The roots of the equation can be found by the formula,

[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex] or [tex]x=\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]

here, a = 9, b = 3 and c = -4

Substitute the above values,

⇒ [tex]x=\frac{-3+\sqrt{3^{2}-4(9)(-4) } }{2(9)}[/tex] or  [tex]x=\frac{-3-\sqrt{3^{2}-4(9)(-4) } }{2(9)}[/tex]

⇒ [tex]x=\frac{-3+\sqrt{9+144 } }{18}[/tex]          or  [tex]x=\frac{-3-\sqrt{9+144 } }{18}[/tex]

⇒ [tex]x=\frac{-3+\sqrt{153 } }{18}[/tex]             or  [tex]x=\frac{-3-\sqrt{153 } }{18}[/tex]

⇒ [tex]x=\frac{-3+12.36 }{18}[/tex]             or  [tex]x=\frac{-3-12.36 }{18}[/tex]

⇒ [tex]x=\frac{9.37}{18}[/tex]                    or  [tex]x=\frac{-15.37}{18}[/tex]

⇒ [tex]x=0.5205[/tex]                or  [tex]x=-0.8538[/tex]

Hence we can conclude that the roots of the equation are x = 0.5205 and x = -0.8538. These roots are real, rational and unequal, thus option (B) is the correct answer.

Learn more about quadratic equation here

https://brainly.com/question/12014272

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Answer:

15.87% portion of oak trees in this forest have a circumference greater than 21 inches

Step-by-step explanation:

Given that

Mean = μ = 19.7 inches

SD = σ = 1.3 inches

We have to find the probability of circumference greater than 21 inches

Let x = 21 inches

First of all we have to find the z-score of the value

z-score is given by the formula

[tex]z = \frac{x-mean}{SD}[/tex]

Putting the values

[tex]z = \frac{21-19.7}{1.3}\\z = \frac{1.3}{1.3}\\z = 1[/tex]

We will use the z-score table to find the probability of x<21

P(z<1)  = 0.8413

The value gives us the area under the curve up till that value

To find the greater than probability, we have to subtract less than probability from 1.

P(z>1) = 1 - P(z<1) = 1 - 0.8413 = 0.1587 => 15.87%

Hence,

15.87% portion of oak trees in this forest have a circumference greater than 21 inches

Answer:

The answer is 8³

Step-by-step explanation:

I think the letter f represents a hidden potential cubic number

Hey,

The answer is 55

I wrote the solution, you can look.

Good luck :)

Answer:

c

Step-by-step explanation:

20 to 16 is 20% trust me lol

Answer:

The answer is B

Step-by-step explanation:

Answer:

Weak positive correlation

Step-by-step explanation:

Just trust me

Also it’s positive in a graph but it’s not changing that much so it’s weak

Answer:

evaluate C2 + 4a - b

-2 +4(-5)-3

4=-2-5-3

4=4

=4-4

=0

Answer:

x=2

Step-by-step explanation:

Answer:

The tax rate is 9 dollars and 45 cents.

Step-by-step explanation:

Answer:

-2,-2

Step-by-step explanation:

-

Answer:

................(-2,-2)

Answer:

4. the answer is 20      

5. x=12 y=30

6. MLV = TUV bySSS

7. ABC=HGF by SSS

to show work:

4. 15/12=25/x      (cross multiply)

  =15x=300         (divide both sides by 15)

  =  x=20    

5. the triangle is equilatieral so all the angles are the same. this means 60=2y.

if you isolate the variable and divide both sides by 2, you get y=30

6. 49/14 = 28/8 ?

if you solve both the division problems, they both equal 3.5, meaning the side lengths are the same so the rule would be SSS or side side side

and you do the same thing with the next triangle too

hope this helps!! also brainliest would be nice but you dont have to

Answer:

The related variation will be:

Step-by-step explanation:

We know that when 'y' varies inversely with 'x', we get the equation

y ∝ 1/x

y = k × 1/x

Here 'k' is the constant of proportionality

Given that the altitude H of a cylinder with a constant volume V is inversely proportional to the square of its radius R.

so the equation can be mapped as

H ∝ 1/R²

H = k/R²

In this case, the k is the constant volume. i.e. V = k

Thus, the equation becomes

H = V/R²

where H is the altitude, V is the constant volume and R is the radius.

Therefore, the related variation will be:

The variation equation showing the relationship between H, V and R is given by H = VR²

A direct proportional relationship is that in which as one variable increases the other variable increases and vice versa.

An indirect proportional relationship is that in which as one variable increases the other variable decreases and vice versa.

Let H represent the altitude and R represent the radius.

H ∝ R²

H = VR²; V (volume) is the constant of proportionality

The variation equation showing the relationship between H, V and R is given by H = VR²

Find out more at: https://brainly.com/question/13977805

Answer:

[tex]x<3[/tex]

Step-by-step explanation:

STEP 1: Move all terms not containing [tex]x[/tex] to the right side of the inequality.

[tex]5x<15[/tex]

STEP 2: Divide each term by [tex]5[/tex] and simplify.

[tex]x<3[/tex]

STEP 3: The result can be shown in multiple forms.

Inequality Form:

[tex]x<3[/tex]

Interval Notation:

[tex](-[/tex]∞[tex],3)[/tex]

Answer:

(0,5)

Step-by-step explanation:

Hope this helped, Have a Great Day!!

Answer:

- 2

Step-by-step explanation:

It helps when u make a table using the points given

x         y

1          6

3         2

from 6 to 2 you need to subtract 4

from 1 to 3 you need to add 2

now its y/x

4/2 = 2

Since the line is going down that means your slope is negative so...

-2 will be your slope

Hope this helped!

Answer:

The slope is -2.

Step-by-step explanation:

There are two ways to solve this problem.

1st way is by looking at the graph:

*Identify what the rise over run is. In this case, it woult be 2 over 1 which if you divide 2÷1, it would be 2.

*Then, if the graph is going down, the slope is negative, and if the graph is going up, the slope is positive. If it's vertical, the slope is undefined, and if it's horizontal, the slope is zero. Since, it's going down, your slope would be negative.

2nd way is by subtracting y2 - y1 and x2 - x1:

(The order doesn't matter as long as you are subtracting correctly)

* First, 6 minus 2 is 4, and 1 minus 3 is  -2. After, divide 4 by -2, and you'll end up with -2.

* Or you can do it the other way round. First, 2 minus 6 is -4, and 3 minus 1 is 2. After, divide -4 by 2, and you'll end up with -2

Answer:

slope is 2

Step-by-step explanation:

-11-(-1) =-10

4-9=-5

-10/-5

=2

Slope-2x

Answer:

.00059 or .0006

Step-by-step explanation:

You are trying to find what won't be in the water because there are many combinations so you use a complement formula.

1-0.79=0.29

Use the left over percentage in an equation to determine the probability.

[tex]1-(0.29)^6=0.000594823[/tex]

The exponent 6 comes from the number of locations.

Answer:

.8719

Step-by-step explanation:

This is an educated guess feel free to give a negative review if I'm wrong

Answer:

5 years

Step-by-step explanation:

Step one:

Given Information

Principal= $34,000

rate = 4.8%

SImple interest = $8,160

Required

The time T of the investment

Step two:

the expression for simple interest is

[tex]SI= PRT/100[/tex]

substitute

[tex]8160 = 34000*4.8*T/100[/tex]

cross multiply we have

[tex]8160*100= 34000*4.8*T\\\\816000= 163200T\\\\[/tex]

divide both sides by 163200

[tex]816000/163200= T\\\\T= 5 years[/tex]

Answer:

D. 38.3 cm

Step-by-step explanation:

Just took test on a p e x

Answer: 38.3

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

AC=2DE

48-4x=2(64-7x)=128-14x

14x-4x=128-48

10x=80

x=80/10=8

DE=64-7x=64-7*8=64-56=8

Answer:

i think 0,1

Step-by-step explanation:

bc iit goes like that lol

Answer:

The answer is 7x-25

Step-by-step explanation:

(3x+5)+(4x-30)

=3x+4x+5-30

=7x-25

Answer:

(3x+4x) + (5-30)

Step-by-step explanation:

For this problem which is all addition and subtraction it is simply having you combine like terms or rather terms with same variables (3x and 4x).  You just need to be careful with the signs when you rewrite the problem so when you solve you get the correct answer.  Example if you were to solve this one you would combine your numbers with variable of x  and then the numbers without the variable:

(3x+4x) +(5-30)

7x + -25 or 7x-25