How d you work out 450 divided by 600

The cost of renting a jumping castle includes a fixed charge of $325 for setup and delivery, and a variable charge of $175 for e

Burka [1]

Answer:

they can rent it for 6 hours

Step-by-step explanation:

7 0

3 years ago

(WILL DO BRAINLIST)

Lynna [10]

You have a function $y= \dfrac{3}{2} \left(1+\sin \left(\dfrac{2t+1}{2}\cdot \pi\right) \right)$ .
Since the range of the function $y=\sin x$ is $[-1,1]$ you have that

$-1\le \sin \left(\dfrac{2t+1}{2}\cdot \pi\right)\le 1 \\ 0\le 1+\sin \left(\dfrac{2t+1}{2}\cdot \pi\right) \le 2 \\ 0\le \dfrac{3}{2} \left(1+\sin \left(\dfrac{2t+1}{2}\cdot \pi\right) \right)\le 3$ .
Answer: The range of given function is [0,3] and the correct choice is C.

6 0

3 years ago

The indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find

9966 [12]

Answer:

The particular integral of given differential equation

$y_{p} = \frac{1}{4} ( x - (\frac{-5}{4} ) (1))$

General solution of given differential equation

$y = y_{c} + y_{p}$

$Y (x) = C_{1} e^{x} + C_{2} e^{4x} + \frac{1}{4} ( x + (\frac{5}{4} ))$

Step-by-step explanation:

Step(i):-

Given Differential equation y'' − 5 y' + 4 y = x

Given equation in operator form

D²y - 5 Dy + 4 y = x

⇒ ( D² - 5 D + 4 ) y =x

⇒ f(D) y = Q

where f(D) = D² - 5 D + 4 and Q(x) = x

The auxiliary equation f(m) =0

m²-5 m + 4 =0

m² - 4 m - m + 4 =0

m ( m -4 ) -1 ( m-4) =0

(m - 1) =0 and ( m-4) =0

m = 1 and m =4

The complementary function

$Y_{c} = C_{1} e^{x} + C_{2} e^{4x}$

Step(ii):-

particular integral

Particular integral

$y_{p} = \frac{1}{f(D)} Q(x) = \frac{1}{D^{2} - 5 D + 4} X$

taking common '4'

$= \frac{1}{4(1 + (\frac{D^{2} - 5 D}{4} ))} X$

$=\frac{1}{4} (1 + (\frac{D^{2} -5D}{4})^{-1} )} X$

applying binomial expression

( 1 + x )⁻¹ = 1 - x + x² - x³ +.....

$=\frac{1}{4} (1 - (\frac{D^{2} -5D}{4}) +((\frac{D^{2} -5D}{4})^{2} -...} )X$

Now simplifying and we will use notation D = $\frac{dy}{dx}$

$=\frac{1}{4} (x - (\frac{D^{2} -5D}{4})x +((\frac{D^{2} -5D}{4})^{2}(x) -...}$

Higher degree terms are neglected

$=\frac{1}{4} (x - (\frac{ -5 D}{4}) x)$

The particular integral of given differential equation

$y_{p} = \frac{1}{4} ( x - (\frac{-5}{4} ) (1))$

Final answer:-

General solution of given differential equation

$y = y_{c} + y_{p}$

$Y (x) = C_{1} e^{x} + C_{2} e^{4x} + \frac{1}{4} ( x + (\frac{5}{4} ))$

4 0

3 years ago

Need it solved correctly for khan academy

RUDIKE [14]

The tiger population loses 3/5 of its size every 2.94 decades

<h3>Rate of change using differential calculus</h3>

The given equation is:

$N(t)=710(\frac{8}{125} )^t$

Find the derivative of the given function

$\frac{dN}{dt} =710(0.064)^tln(0.064)\\\\\frac{dN}{dt} =-1951.7(0.064)^t$

When the tiger loses 3/5 of its population

dN/dt = 3/5

Solve for t

$\frac{3}{5} =-1951.7(0.064)^t\\\\-0.0003=(0.064)^t$

Take the natural logarithm of both sides

$ln(-0.0003)=t(ln0.064)\\\\-8.087=-2.75t\\\\t=\frac{-8.087}{-2.75} \\\\t=2.94$

The tiger population loses 3/5 of its size every 2.94 decades

Learn more on rate of change using calculus here: brainly.com/question/96116

#SPJ1

6 0

2 years ago

Solve for X please!!!!!!!!!!!!! I need this answer ASAP 2x + 1/3x = 21

Trava [24]

We know:

we can add/subtract the same expression to both sides of the equation to get an equivalent equation;
we can multiply/divide both sides of the equation by the same non-zero number to get the equivalent equation.

Equivalent equations are algebraic equations that have identical solutions.

We have the equation:

$2x+\dfrac{1}{3}x=21$

<h3>SOLUTION:</h3>

multiply bot sides by 3

$3\cdot2x+3\!\!\!\!\diagup\cdot\dfrac{1}{3\!\!\!\!\diagup}x=3\cdot21\\\\6x+x=63\\\\7x=63$

divide both sides by 7

$\dfrac{7\!\!\!\!\diagup x }{7\!\!\!\!\diagup}=\dfrac{63}{7}\\\\\boxed{x=9}$

6 0

1 year ago

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