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2 years ago

Drag the numbers to create three ratios that are equivalent to 4:12. Each number may be used once or not at all.

Mathematics

1 answer:

aliina [53]2 years ago

5 0

Answer: 20:60, 12:36, 2:6

Step-by-step explanation: All you need to do is look at the numbers and see which 3 are equivalent to 4:12.

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What is 92119 rounded to the nearest thousand

Leokris [45]

Answer:

92000

Step-by-step explanation:

2119 is less then 500

6 0

3 years ago

Read 2 more answers

F^-1(-10) + f(-6) Please help!!!!

Brums [2.3K]

Answer:

-10/f-6f

Step-by-step explanation:

simplify it the equation

4 0

3 years ago

Consider the differential equation:

Wewaii [24]

(a) Take the Laplace transform of both sides:

$2y''(t)+ty'(t)-2y(t)=14$

$\implies 2(s^2Y(s)-sy(0)-y'(0))-(Y(s)+sY'(s))-2Y(s)=\dfrac{14}s$

where the transform of $ty'(t)$ comes from

$L[ty'(t)]=-(L[y'(t)])'=-(sY(s)-y(0))'=-Y(s)-sY'(s)$

This yields the linear ODE,

$-sY'(s)+(2s^2-3)Y(s)=\dfrac{14}s$

Divides both sides by $-s$ :

$Y'(s)+\dfrac{3-2s^2}sY(s)=-\dfrac{14}{s^2}$

Find the integrating factor:

$\displaystyle\int\frac{3-2s^2}s\,\mathrm ds=3\ln|s|-s^2+C$

Multiply both sides of the ODE by $e^{3\ln|s|-s^2}=s^3e^{-s^2}$ :

$s^3e^{-s^2}Y'(s)+(3s^2-2s^4)e^{-s^2}Y(s)=-14se^{-s^2}$

The left side condenses into the derivative of a product:

$\left(s^3e^{-s^2}Y(s)\right)'=-14se^{-s^2}$

Integrate both sides and solve for $Y(s)$ :

$s^3e^{-s^2}Y(s)=7e^{-s^2}+C$

$Y(s)=\dfrac{7+Ce^{s^2}}{s^3}$

(b) Taking the inverse transform of both sides gives

$y(t)=\dfrac{7t^2}2+C\,L^{-1}\left[\dfrac{e^{s^2}}{s^3}\right]$

I don't know whether the remaining inverse transform can be resolved, but using the principle of superposition, we know that $\frac{7t^2}2$ is one solution to the original ODE.

$y(t)=\dfrac{7t^2}2\implies y'(t)=7t\implies y''(t)=7$

Substitute these into the ODE to see everything checks out:

$2\cdot7+t\cdot7t-2\cdot\dfrac{7t^2}2=14$

5 0

3 years ago

A 5,400 W motor is used to work. If the motor is used for 640s, about how much work could it do?

maks197457 [2]

It is option c 3,500,000

4 0

3 years ago

Choose the expression that represents a quadratic expression. 9x − 2 5x2 9x − 1 −2x3 8x2 − 7x 1 x4 − 12x3 8x2 − 7x 1

NikAS [45]

5x² + 9x - 1 is the expression that represents a quadratic expression.

What is quadratic expression?

Quadratic expression is an expression with the variable with the highest power of 2.
The word quadratic is derived from the word quad which means square.
The expression should have the power of two and not higher or lower.

A quadratic expression is of the form

ax² + bx +c = 0 where a ≠ 0

The give options are-

9x - 2

5x² + 9x - 1

-2x³ + 8x² - 7x +1

$x^{4} - 12 x^{3} + 8x^{2} - 7x +1$

From the given options, the only expression which is quadratic is

5x² + 9x - 1

wChoose the expression that represents a quadratic expression. 9x − 2 5x2 9x − 1 −2x3 8x2 − 7x 1 x4 − 12x3 8x2 −here a =5, b=9 and c=-1

Therefore, 5x² + 9x - 1 is the expression that represents a quadratic expression.

Learn more about quadratic expression.

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5 0

2 years ago