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maks197457 [2]
3 years ago
12

A. 40, B.80, C.120, D. 160, or E. 400

Mathematics
2 answers:
SpyIntel [72]3 years ago
8 0

ιт ιѕ 80

υиℓιкє ωιтн αяєα ωнєяє υ мυℓтιρℓу ℓєиgтн тιмєѕ ωι∂тн

ωιтн ρєяιмєтєя уσυ ʝυѕт α∂∂ тнєм

Rudik [331]3 years ago
6 0
B: 80

All the sides add up to 20 so adding all four sides make 80
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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 lcm of 56 and 72​
Reptile [31]

Answer:

504

Step-by-step explanation:

4 0
3 years ago
A skyscraper has 49 floors there are 26 offices on each of the bottom 31 fours the top 18 floors each have 38 officers about how
Anettt [7]

Answer:

903 offices

Step-by-step explanation:

Total number of officers in the sky scraper

= 26 + 31 + [(49-2)×18]

= 26 + 31 + 846

= 903 offices

3 0
2 years ago
Otero translated the phrase "three less than a number" into the expression 3 minus x. Which best describes the accuracy of Otero
fomenos

Correct Question:

Otero translated the phrase "three less than a number" into the expression 3 minus x. Which best describes the accuracy of Otero's expression?.

a. It is accurate. The phrase can be translated as "three" = 3, "less than" = subtraction, and "a number" = X, SO 3- X is the correct expression.

b. It is inaccurate. Three is being subtracted from a number, so X-3 is what he should have written.

c. It is inaccurate. Three is being compared to a number, so 3 It is inaccurate. Three is being added to a number, so 3+ x is what he should have written.

Answer:

The answer is B because three less than a number means that a 3 is less than some number X meaning three is being subtracted from X. So equation should be X-3 rather than 3-X.

Step-by-step explanation:

3 0
3 years ago
I can't quite figure out what ( 7- 4n ) x 6 is with distributive property.
Tema [17]

Answer:

(42-24n)

Step-by-step explanation:

(7-4n)×6

take the 6 and multiply it to the integers in the paraenthesis.

so you take the ouside number which is 6 and multiply it with the first number which is 7 in the paraenthesis.

6×7=42

(42-4n)

then take the next number 4n and multiply by 6

4n × 6 = 24n

finally put it all together

(42-24n)

sorry if that didnt help

7 0
3 years ago
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