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3 years ago

12

Consider the situation where 12 people at a picnic want to select an activity for the afternoon. Which activity would win a plur

ality election

1 answer:

tatyana61 [14]3 years ago

4 0

Answer is soccer because it has more numbers in the picture

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What is the soulution of x^2 + 64 = 0

lys-0071 [83]

Solve out
x^2 + 64 = 0
x^2 = -64 ( we are going to use imaginary numbers to solve)
x = $i \sqrt{64}$
x = 8i, -8i final answers

3 0

3 years ago

Read 2 more answers

Jerry has a garden that has a length of 30 feet and a width of 10 feet. Fertilizer is on sale for $2 per bottle. If each bottle

Maksim231197 [3]

Answer: $50

Step-by-step explanation:

30 × 10 = 40 ft² [garden area]

40 ÷ 25 = 1.6

1.6 ≈ 2

For the area of the entire garden, you need to buy two bottles of fertilizer.

25 × 2 = 50 [fertilization cost for the whole garden]

5 0

3 years ago

Haj mixes gallon of water with every 1 cup of a laundry powder. How many gallons of water does he mix with 7 cups of laundry pow

Sergeu [11.5K]

Between 6 and 7

1 cup per 1 gallon
1x7 gallons is 7

7 0

3 years ago

Read 2 more answers

Find the general solution to 1/x dy/dx - 2y/x^2 = x cos x, y(pi) = pi^2

Finger [1]

Answer:

$\frac{y}{x^2}=\sin x+\pi$

Step-by-step explanation:

Consider linear differential equation $\frac{\mathrm{d} y}{\mathrm{d} x}+yp(x)=q(x)$

It's solution is of form $y\,I.F=\int I.F\,q(x)\,dx$ where I.F is integrating factor given by $I.F=e^{\int p(x)\,dx}$ .

Given: $\frac{1}{x}\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{2y}{x^2}=x\cos x$

We can write this equation as $\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{2y}{x}=x^2\cos x$

On comparing this equation with $\frac{\mathrm{d} y}{\mathrm{d} x}+yp(x)=q(x)$ , we get $p(x)=\frac{-2}{x}\,\,,\,\,q(x)=x^2\cos x$

I.F = $e^{\int p(x)\,dx}=e^{\int \frac{-2}{x}\,dx}=e^{-2\ln x}=e^{\ln x^{-2}}=\frac{1}{x^2}$ { formula used: $\ln a^b=b\ln a$ }

we get solution as follows:

$\frac{y}{x^2}=\int \frac{1}{x^2}x^2\cos x\,dx\\\frac{y}{x^2}=\int \cos x\,dx\\\\\frac{y}{x^2}=\sin x+C$

{ formula used: $\int \cos x\,dx=\sin x$ }

Applying condition: $y(\pi)=\pi^2$

$\frac{y}{x^2}=\sin x+C\\\frac{\pi^2}{\pi}=\sin\pi+C\\\pi=C$

So, we get solution as :

$\frac{y}{x^2}=\sin x+\pi$

4 0

3 years ago

Mr. Smith paid $36.36 for a carpet. This amount includes a tax of 10%. What was the cost of the carpet before tax?

ser-zykov [4K]

Answer:

32.72

Step-by-step explanation:

36.36/100

0.3636

0.3636 times 90 (I use 90 because 100-10=90) 10% tax, so 90% original cost.

32.72

8 0

3 years ago