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8_murik_8 [283]
3 years ago
10

Help me on this please

Mathematics
2 answers:
Sedbober [7]3 years ago
4 0
The answer would be 125. 
The answer is 125 because 10 to the 6th power is 1,000,000 and 10 to the 4th power is 40,000. 5*1,000,000 is 5,000,000. 4*10,000 is 40,000. 5,000,000/40,000 is equal to 125! 
serious [3.7K]3 years ago
4 0
Hello,

The answer would be 125.
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Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli equation.
Mama L [17]

Multiplying both sides by y^2 gives

xy^2\dfrac{\mathrm dy}{\mathrm dx}+y^3=1

so that substituting v=y^3 and hence \frac{\mathrm dv}{\mathrm dv}=3y^2\frac{\mathrm dy}{\mathrm dx} gives the linear ODE,

\dfrac x3\dfrac{\mathrm dv}{\mathrm dx}+v=1

Now multiply both sides by 3x^2 to get

x^3\dfrac{\mathrm dv}{\mathrm dx}+3x^2v=3x^2

so that the left side condenses into the derivative of a product.

\dfrac{\mathrm d}{\mathrm dx}[x^3v]=3x^2

Integrate both sides, then solve for v, then for y:

x^3v=\displaystyle\int3x^2\,\mathrm dx

x^3v=x^3+C

v=1+\dfrac C{x^3}

y^3=1+\dfrac C{x^3}

\boxed{y=\sqrt[3]{1+\dfrac C{x^3}}}

6 0
3 years ago
Four pounds of chicken is divided into 1/3 -pound packages. How many packages of chicken are there?
Katen [24]

Answer:12

Step-by-step explanation:

there is 4 pounds total, and each package is 1/3 a pound, so 3 packages, (1/3x3)=3 so 3 x 4 for all packges= 12. Hope this helps!

4 0
3 years ago
Tatiana has a thorn in her bike tire but it's not flat yet. She's riding home at a constant speed, and the diameter of her bike
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2 years ago
HELP WOTU FINDING CIRCUMFERENCE PLEASE 20 points!
saw5 [17]

Answer:

question 1 , area= 42.02 sq meter, circumference=22.98 meter

question 2, area=481.609sq meter, lenght of BC=263.3472 meter

for convience i converted yards to meter.

Step-by-step explanation:

in first question to find area of circle by multiplying value of pi (3.14) and square of radius of circle and to find circumference just multiply 2 with value of pi(3.14) and radius of circle.

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8 0
3 years ago
Read 2 more answers
Find (a) the arc length and (b) the area of a sector.
Brut [27]

Answer:

a) 23.56 ft (2 dp)

b) 58.90 ft² (2 dp)

Step-by-step explanation:

<u>Formula</u>

\textsf{Arc length}=r \theta

\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta

\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}

<u>Calculation</u>

Given:

  • \theta=\dfrac{3 \pi}{2}
  • r = 5 ft

\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 5\left(\dfrac{3 \pi}{2}\right)\\& = \dfrac{15}{2} \pi \\& = 23.56\: \sf ft\:(2\:dp)\end{aligned}

\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(5^2) \left(\dfrac{3 \pi}{2}\right)\\\\& = \dfrac{25}{2}\left(\dfrac{3 \pi}{2}\right)\\\\ & = \dfrac{75}{4} \pi \\\\& = 58.90 \: \sf ft^2\:(2\:dp)\end{aligned}

6 0
2 years ago
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