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Luba_88 [7]
2 years ago
8

Please answer in attachment

Mathematics
1 answer:
Lesechka [4]2 years ago
3 0
For the first box:
3 to the -2 power is changed to 1/9
In order to make the exponent work, you must change it to a fraction.

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X is less than or equal to -8 graphed on a number line
gulaghasi [49]
What you must do for this case is to take all the numbers that satisfy the following inequality
 x <= - 8
 Notice that the inequality solution is
 (-inf, -8]
 In the graph the parenthesis implies that the value of minus infinity is not included. The bracket implies that the value x = -8 is included in the solution of the inequality.
 See attached graph.

4 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
Elena rode her bike 2 miles in 10 minutes. She rode at a constant speed. Complete the table to show the time it took her to trav
Komok [63]

Answer:

0.2

Step-by-step explanation:

2/10 or 1/5

6 0
2 years ago
Read 2 more answers
at the grocery store, 1/5 of the groceries are produce. of the produce, 2/3 is vegetables. what fraction of the groceries in the
avanturin [10]
66 is the anwer I think I'm not for sure I hope this helps and you get it right
7 0
3 years ago
Read 2 more answers
Evaluate the expression when x = 9.<br>x + 5(x + 2)​
jasenka [17]

Answer:

64

Step-by-step explanation:

x + 5(x + 2)​

Distribute

x + 5x+10

Combine like terms

6x+10

Let x = 9

6(9) +10

54+10

64

8 0
3 years ago
Read 2 more answers
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