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gtnhenbr [62]
3 years ago
7

Please help I'm stuck!

Mathematics
1 answer:
frez [133]3 years ago
7 0
I can do A, I think.
Part A: Marina rented a coat at $285 for 3 days. If as rents the same coat for 6 days she has do pay a total rent of $510. <span>Write an equation in the standard form to represent the total rent (y) that Marina has to pay for renting the coat for x days.
</span><span>First, find out the base price. If it was $285 for 3 days, then it's: 285/3, which equals $95 per day to rent the coat. Now you can just write the equation. Use the letters x and y to represent the data they want in the equation. 
y (total rent) = 95x (x being the number of days). So your equation will be y = 95x, and if someone wanted to solve it they'd just need to give the value of "x"</span>
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Set up but do not solve for the appropriate particular solution yp for the differential equation y′′+4y=5xcos(2x) using the Meth
taurus [48]

Answer:

So, solution of  the differential equation is

y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos  2x+c_1e^{-2it}+c_2e^{2it}\\

Step-by-step explanation:

We have the given differential equation: y′′+4y=5xcos(2x)

We use the Method of Undetermined Coefficients.

We first solve the homogeneous differential equation y′′+4y=0.

y''+4y=0\\\\r^2+4=0\\\\r=\pm2i\\\\

It is a homogeneous solution:

y_h(t)=c_1e^{-2i t}+c_2e^{2i t}

Now, we finding a particular solution.

y_p(t)=A5x\cos 2x\\\\y'_p(t)=A5\cos 2x-A10x\sin 2x\\\\y''_p(t)=-A20\sin 2x-A20x\cos 2x\\\\\\\implies y''+4y=5x\cos 2x\\\\-A20\sin 2x-A20x\cos 2x+4\cdot A5x\cos 2x=5x\cos 2x\\\\-A20\sin 2x=5x\cos 2x\\\\A=-\frac{x}{4} \cot 2x\\

we get

y_p(t)=A5\cos 2x\\\\y_p(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos  2x\\\\\\y(t)=y_p(t)+y_h(t)\\\\y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos  2x+c_1e^{-2it}+c_2e^{2it}\\

So, solution of  the differential equation is

y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos  2x+c_1e^{-2it}+c_2e^{2it}\\

7 0
3 years ago
Find the volume of each figure. Round the answer<br> 5 min<br> 4 mm<br> 18 nm<br> 8 mm
valentina_108 [34]
Try 18mm that should be the answer
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3 years ago
Which of the following scenarios will most negatively impact a credit score?
slamgirl [31]
Excessive returning of items
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3 years ago
What happens when a figure is dilated .
zaharov [31]

Answer:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. A dilation that creates a larger image is called an enlargement. A dilation that creates a smaller image is called a reduction. A dilation stretches or shrinks the original figure.

7 0
3 years ago
How do I solve this. Please help!!
11111nata11111 [884]

Answer:

x = 4\sqrt{2}

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = \frac{1}{\sqrt{2} } , then using the upper 45°

sin45° = \frac{opposite}{hypotenuse} = \frac{4}{x} = \frac{1}{\sqrt{2} } ( cross- multiply )

x = 4\sqrt{2}

4 0
3 years ago
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