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3 years ago

Simplify the expression 12x^-4y2/3x^2y^-4

Mathematics

1 answer:

mr Goodwill [35]3 years ago

5 0

$\cfrac{12x^{-4}y^2}{3x^2y^{-4}} = \cfrac{4y^{4}*y^2}{x^4*x^2}= \cfrac{4y^{6}}{x^{6}}$

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PLEASE HELP WILL GOVE BRAINLY

Travka [436]

The rate of change is constant because of how they change 2 numbers differently each time they go per X, such as 1 for going up one x, if it was 2+, then the next would be adding 3 onto that next number. And so on.

3 0

3 years ago

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=1/x^5, y=0,

igomit [66]

If you wanted to rotate f(x) around the y axis from x=a to x=b then the volume would be
$\pi \int\limits^a_b {(f(x))^2)} \, dx$

that would be

$\pi \int\limits^8_1 {(\frac{1}{x^5})^2} \, dx$
$\pi \int\limits^8_1 {\frac{1}{x^{10}}} \, dx$
1/x^10=x^-10
integrate
-1/(9x^9)
so
$\pi \int\limits^8_1 {\frac{1}{x^{10}}} \, dx$ =
$\pi [\frac{-1}{9x^{9}}]^8_1=\pi (\frac{-1}{9(8^{9})}-\frac{-1}{9(1^{9})})=$
$\pi (\frac{-1}{9(8^{9})}+\frac{1}{9(1^{9})})=\pi (\frac{-1}{9(8^{9})}+\frac{1}{9})=$
$\pi (\frac{-1}{9(8^{9})}+\frac{8^9}{9(8^9)})=\pi (\frac{8^9-1}{9(8^{9})})=$
$(\frac{\pi8^9-\pi}{9(8^{9})})=\frac{134217727 \pi}{1207959552}$
that's the volume of the solid

4 0

4 years ago

What is the distance between the two numbers given below? 4/9 and -2/9 (simplified)

lubasha [3.4K]

I will try my best to assist you with your question.

4/9 to -2/9 = -2/3

Show work!

_____________________________

4/9 -4/9 = 0/9

0/9 + (-2/9) =-2/9

-4/9+-2/9= -6/9

-6/9=-2/3

The answer is -2/3

Hope I helped!

Good Luck!

8 0

3 years ago

His new employer has offered Malcom Davis a choice of profit-sharing plans. For Plan A, he can receive 1/90 of the company’s gro

Strike441 [17]

Malcom Davis earnings is an illustration of equations and proportions.

The equation is: $\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}$
The gross income must be $300000, for Dave to earn the same amount with either plan.
His earning is $3333.33 when the plans are the same.

Let the profit be P, and the gross income be G.

So, we have:

$\mathbf{P= G - 100000}$

(a) The equations

For plan A, we have:

$\mathbf{A = \frac{1}{90}G}$ ----1/90 of the company's gross income

For plan B, we have:

$\mathbf{B = \frac{1}{60}P}$ ----1/90 of the company's profit

When both are the same, we have:

$\mathbf{A= B}$

This gives

$\mathbf{\frac{1}{90}G= \frac{1}{60}P}$

Substitute $\mathbf{P= G - 100000}$

$\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}$

Hence, the equation is: $\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}$

(b) Solve the equation in (a), and intepret

$\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}$

Cross multiply

$\mathbf{60G = 90G - 9000 000}$

Collect like terms

$\mathbf{90G - 60G = 9000 000}$

$\mathbf{30G = 9000 000}$

Divide both sides by 30

$\mathbf{G = 3000 00}$

The gross income must be $300000, for Dave to earn the same amount with either plan.

(c) His earnings based on (c)

We have:

$\mathbf{A = \frac{1}{90}G}$

Substitute $\mathbf{G = 3000 00}$

$\mathbf{A = \frac{1}{90} \times 300000}$

$\mathbf{A = 3333.33}$

His earning is $3333.33 when the plans are the same

(d) If the gross income in less than (b)

If the gross income is less than $300,000, then plan A would better for Malcom Davis, because his earnings in plan A would be greater than plan B