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frez [133]
3 years ago
9

Find the quotient of quantity of 3 times x to the 3rd power plus 9 times x to the 2nd power minus 6 times x all over negative 3

times x
Mathematics
2 answers:
ki77a [65]3 years ago
3 0
            -x^2  -3x    + 2
        ------------------------------
-3x )  3x^3 + 9x^2 - 6x
          3x^3 
                    9x^2
                             -6x

answer is -x^2 - 3x + 2
Savatey [412]3 years ago
3 0

Answer:

Quotient = -x² -3x +2.

Step-by-step explanation:

Given :  quantity of 3 times x to the 3rd power plus 9 times x to the 2nd power minus 6 times x all over negative 3 times x.

To find : Find the quotient.

Solution : We have given that statement

3 times x to the 3rd power  = 3x³.

9 times x to the 2nd power =9x²

6 times x = 6x

3x³ +9x²-6x over -3x.

On dividing 3x³ +9x²-6x  by -3x

\frac{3x^{3}}{-3x} +\frac{9x^{2}}{-3x} -\frac{6x}{-3x} .

On cancel out the like numertor and denominator.

Quotient = -x² -3x +2

Therefore, Quotient = -x² -3x +2.

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Neporo4naja [7]

Answer:

2.

sinα=√3/(2√7)

cosα=5/(2√7)

tanα=5/√3

cscα=(2√7)/√3

secα=(2√7)/5

*note* you can simplify the above further (by rationalizing them), but I think it's probably fine to leave them as is *

3.) g15.9

4.)25.4

5.) 70.8

6.) 36.4

Step-by-step explanation:

Cot is the inverse of toa so cot= adj/opp

This means the traingle's adjacent side is √3 and its opposite is 5

with this information let's figure out the hypotonouse

√3²+5²=c²

3+25=c²

28=c²

√28=c

√28=2√7

which means the triangle's

opposite= √3

hypotonous= 2√7

Adjacent= 5

With all of this we can just plug in the numbers to find the missing information (where α=angle or theta)

sinα=√3/(2√7)

cosα=5/(2√7)

tanα=5/√3

cscα=(2√7)/√3

secα=(2√7)/5

For this one we have the adjacent and need the opposite

we will use TOA

Tan(25)=x/34

34tan(25)=x

x=15.9

4.) For this one we have the adjacent but need the hypotonouse

we will use CAH

cos(48)=17/x

17/cos(48)=x

x=25.4

5.) for number 5 we have the oppsite and hypotonouse and so we'll use SOH

sin(α)=17/18

α=70.8

6.) For this one we have the opposite and adjacent and so we'll use TOA

Tan(α)=(31/42)

α=36.4

8 0
3 years ago
Tan θ sin θ + sin θ = 0 . Solve the given equation.
VashaNatasha [74]
Here's a PDF file with the solution... Powered by Wolfram Mathematica
Download pdf
4 0
3 years ago
Suppose that you take 120 mg of an antibiotic every 4 hr. The​ half-life of the drug is 4 hr​ (the time it takes for half of the
vodomira [7]

Answer:

The steady state amount of antibiotic in the bloodstream when t --> ∞ is 240 mg.

Step-by-step explanation:

Let the amount of antibiotic in one's bloodstream be given as Aₙ (where n = the number of half lives since the start of usage)

Let's follow the time line of events.

At t = 0 hr, the drug is taken

A₀ = 120 mg

At t = 4 hrs, n = 1, the drug is taken again

A₁ = (0.5×A₀) + 120

A₁ = (0.5×120) + 120 = 180 mg

At t = 8 hrs, n = 2, the drug is taken again,

A₂ = (0.5×A₁) + 120

A₂ = (0.5×180) + 120 = 210 mg

At t = 12 hrs, n = 3, the drug is taken again

A₃ = (0.5×A₂) + 120

A₃ = (0.5×210) + 120 = 225 mg

At this point, it becomes evident that at t = 4n hrs, n = n i.e. n half lives later, the general formula for the amount of the antibiotic in the bloodstream is

Aₙ = 0.5Aₙ₋₁ + 120

where Aₙ₋₁ = The amount of antibiotic in the bloodstream at the time t = 4(n-1) and (n-1) half lives later.

For infinite series, that are increasing in this order, as the value of n --> ∞,

Aₙ = Aₙ₋₁ = K

And our general formula becomes

K = 0.5K + 120

0.5K = 120

K = (120/0.5)

K = 240 mg

Hence, the steady state amount of antibiotic in the bloodstream when t --> ∞ is 240 mg.

Hope this Helps!!!

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Nine minus 3 and 3/8
andriy [413]

Answer:6

Step-by-step explanation:

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3 years ago
If the relative frequency of a train being late is 0.15 how often could you expect the train to be late in 100 days?
neonofarm [45]
(100)= 0.25*100=15 times. 

<span>SO, the train will be late 15 times in 100 days.

Hope i helped:P </span>
7 0
3 years ago
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