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3 years ago

Brandon decided to make his own hand sanitizer. To be effective, hand sanitizer

Mathematics

1 answer:

strojnjashka [21]3 years ago

6 0

Answer:

90ml

Step-by-step explanation:

all we need to do is find 60% of 150

60% of 150 is 90

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Find the volume of each figure. Round your answers to the nearest tenth, if necessary

olga nikolaevna [1]

Answer:

1.92 m³

hopefully this answer can help you to answer the next question.

5 0

3 years ago

Scientists notice two asteroids moving directly toward each other. Right now, they are 20 million kilometers apart, but they are

ruslelena [56]

Answer:

The point of intersection is (6, 8). This indicates that in 6 days, asteroid A and B will collide at a point that is 8 million miles away from asteroid A's current position and 12 million miles away from asteroid B's current position.

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3 years ago

Read 2 more answers

Solve the following quadratic equation for all values of xx in simplest form. 3(x+1)²-15=-12

suter [353]

Answer:

x = 0, -2

Step-by-step explanation:

3 0

3 years ago

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

Determine whether each conjecture is true or false given: n is a real number

JulijaS [17]

For the conjecture to be true, the square of all real numbers must be positive or zero.
The square of all negative and positive numbers is positive, and the square of zero is zero, so the conjecture is true.

8 0

3 years ago