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3 years ago

Help me out please???

Mathematics

1 answer:

11111nata11111 [884]3 years ago

7 0

90 pb hope it helped ssdyacyd ja hcdke uvsk fideciscwtory264994972076159467577396257242

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Two scientists are running experiments on the same type of bacteria in different control groups. The results are shown in the gr

kondaur [170]

Answer:

B, "The graph of g(x) will eventually exceed the graph of f(x)."

Step-by-step explanation:

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3 years ago

Read 2 more answers

A school baseball team earned $3416.90 from selling 5716 tickets to their game. If grandstand tickets sold for 65 cents each and

expeople1 [14]

If all were grandstand tickets, revenue would be 0.65*5716 = 3715.40. It was actually 298.50 less than that. Each bleacher ticket sold drops the revenue by .25, so there were 298.50/.25 = 1194 bleacher tickets sold.

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3 years ago

Write a doubles fact that can help you solve 6+5=11.

mario62 [17]

6+5=11 5+6=11 11-5=6 11-6=5

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3 years ago

Find a particular solution to the nonhomogeneous differential equation y'' + 4 y = cos(2x) + sin(2x).

alukav5142 [94]

The characteristic solution follows from solving the characteristic equation,

$r^2+4=0\implies r=\pm2i$

so that

$y_c=C_1\cos2x+C_2\sin2x$

A guess for the particular solution may be $a\cos2x+b\sin2x$ , but this is already contained within the characteristic solution. We require a set of linearly independent solutions, so we can look to

$y_p=ax\cos2x+bx\sin2x$

which has second derivative

${y_p}''=(-4ax+4b)\cos2x+(-4bx-4a)\sin2x$

Substituting into the ODE, you have

$y''+4y=\cos2x+\sin2x$
$\implies4b\cos2x-4a\sin2x=\cos2x+\sin2x$
$\implies\begin{cases}4b=1\\-4a=1\end{cases}\implies a=-\dfrac14,b=\dfrac14$

Therefore the particular solution is

$y_p=-\dfrac14x\cos2x+\dfrac14x\sin2x$

Note that you could have made a more precise guess of

$y_p=(a_1x+a_0)\cos2x+(b_1x+b_0)\sin2x$

but, of course, any solution of the form $a_0\cos2x+b_0\sin2x$ is already accounted for within $y_c$ .

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3 years ago

What is the solution to the pair of simultaneous equations? 2x+y=5. 3x-2y=4

densk [106]

Answer:

(2, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Coordinates (x, y)
Terms/Coefficients
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

2x + y = 5

3x - 2y = 4

Step 2: Rewrite Systems

Manipulate 1st equation

[Subtraction Property of Equality] Subtract 2x on both sides: y = 5 - 2x

Step 3: Solve for x

Substitution

Substitute in y [2nd Equation]: 3x - 2(5 - 2x) = 4
[Distributive Property] Distribute -2: 3x - 10 + 4x = 4
[Addition] Combine like terms: 7x - 10 = 4
[Addition Property of Equality] Add 10 on both sides: 7x = 14
[Division Property of Equality] Divide 7 on both sides: x = 2

Step 4: Solve for y

Substitute in x [Modified 1st Equation]: y = 5 - 2(2)
Multiply: y = 5 - 4
Subtract: y = 1

3 0

3 years ago