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2 years ago

3. A principal orders 2,592 pencils. She gives an equal amount to each of

Mathematics

1 answer:

AfilCa [17]2 years ago

3 0

Each teacher should receive 108 pencils

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What is This answer68,404÷698

lina2011 [118]

68404/698 is 98. Hope this helped.

3 0

3 years ago

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Find the 10th term in each sequence 40, 10, 5/2, 5/8,...

Nata [24]

9514 1404 393

Answer:

5/32768

Step-by-step explanation:

This sequence does not have a common difference, but does have a common ratio of r = 10/40 = 1/4. The first term is a1 = 40.

The general term of a geometric sequence is ...

an = a1·r^(n-1)

Then the 10th term is ...

a10 = 40·(1/4)^(10 -1) = 40/4^9 = 5/32768

8 0

2 years ago

6y-3x=-18 write it in Standard form

Vitek1552 [10]

Answer: 3x - 6y = 18

Step-by-step explanation:

3 0

2 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

Find the infinite sum of 10,5,2.5,1.25...

____ [38]

Notice this is a geometric progression since each number multiplied by some factor equals the next number in the sequence, in this case,

$10 \times r = 5 \Rightarrow r=0.5$

Then by applying the formula for sum to infinity of a geometric progression,
$S_\infty = \frac{a}{1-r} = \frac{10}{1-0.5} = 20$

3 0

2 years ago

Read 2 more answers