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4 years ago

Select the correct answer.

Mathematics

1 answer:

mestny [16]4 years ago

4 0

Answer:

An investment account has the potential to earn more money than a savings account.

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Elena made 10 ounces of apple chips. She puts the same amount of apple chips into each of 4 containers. How many ounces of apple

KiRa [710]

Answer:

2.5 ounces

Step-by-step explanation:

10 divided by 4 is 2.5

7 0

3 years ago

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

Factor 8x^2-27 show all steps

Olenka [21]

Solutions

Factor 8x²−27

=8x²−27

You can not factor 8x²−27

8 0

3 years ago

Select the correct answer from the drop-down menu.

MArishka [77]

Answer:

one solution

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Can you please help with math

melomori [17]

Interpret the exponent in the formula. S to the third power means to use s as a factor 3 times.

V = S to the third power = S x S x S

Find the volume of the first cube.
Substitute 4 for s.

V = 4 x 4 x 4 = 64

Find the volume of the second cube.
Substitute 7 for s.

V = 7 x 7 x 7 = 343

Tamara's first cube has a volume of 64 cubic centimeters, and her second cube has a volume of 343 cubic centimeters

7 0

3 years ago