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morpeh [17]
3 years ago
11

Simplify (−2a2b4)3. Select the correct answer. Question 1 options:

Mathematics
1 answer:
Bad White [126]3 years ago
7 0

Step-by-step explanation:

=  {( - 2 {a}^{2}  {b}^{4} )}^{3}

=  {( - 2)}^{3}  {a}^{2 \times 3}  {b}^{4 \times 3}

=  - 8 {a}^{6}  {b}^{12}

Option → D

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Tommy bought 30 gallons of gas for 60.50. How much would 12 gallons of gas cost?
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Answer:

24.2

Step-by-step explanation:

divide 60.50 by 30 then multiply that by 12

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3 years ago
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mrs.eddington is buying a new big screen television. She made an initial payment of $50 and paid a total of $890 over 12 months.
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890-50=840 840/12= 70 monthly
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A volume of a sphere is 407.51 in^3.To the nearest tenth,what is the radius of the sphere?Use 3.14 for Pi. round to the nearest
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Solve the initial value problem y'=2 cos 2x/(3+2y),y(0)=−1 and determine where the solution attains its maximum value.
zloy xaker [14]

Answer:

y=\frac{-3\pm\sqrt{4sin2x+1}}{2}

x={\pi}{4}

Step-by-step explanation:

We are given that

y'=\frac{2cos2x}{3+2y}

y(0)=-1

\frac{dy}{dx}=\frac{2cos2x}{3+2y}

(3+2y)dy=2cos2x dx

Taking integration on both sides then we get

\int (3+2y)dy=2\int cos 2xdx

3y+y^2=sin2x+C

Using formula

\int x^n=\frac{x^{n+1}}{n+1}+C

\int cosx dx=sinx

Substitute x=0 and y=-1

-3+1=sin0+C

-2=C

sin0=0

Substitute the value of C

y^2+3y=sin2x-2

y^2+3y-sin 2x+2=0

y=\frac{-3\pm\sqrt{(3)^2-4(1)(-sin2x+2)}}{2}

By using quadratic formula

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

y=\frac{-3\pm\sqrt{9+4sin2x-8}}{2}=\frac{-3\pm\sqrt{4sin2x+1}}{2}

Hence, the solution y=\frac{-3\pm\sqrt{4sin2x+1}}{2}

When the solution is maximum then y'=0

\frac{2cos2x}{3+2y}=0

2cos2x=0

cos2x=0

cos2x=cos\frac{\pi}{2}

cos\frac{\pi}{2}=0

2x=\frac{\pi}{2}

x=\frac{\pi}{4}

3 0
3 years ago
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DochEvi [55]

Answer:

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Step-by-step explanation:

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