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3 years ago

I need details on how to solve this problem please

Mathematics

2 answers:

Radda [10]3 years ago

7 0

I hope I answer your question

Dafna1 [17]3 years ago

7 0

Answer:

P = 5

Step-by-step explanation:

given that P is inversely proportional to w then the equation relating them is

P = $\frac{k}{w}$ ← k is the constant of variation

To find k use the condition P = $\frac{10}{13}$ when w = $\frac{1}{8}$

k = Pw = $\frac{10}{13}$ × $\frac{1}{8}$ = $\frac{10}{104}$ = $\frac{5}{52}$

Hence

P = $\frac{5}{52w}$ ← equation of variation

When w = $\frac{1}{52}$ then

P = $\frac{5}{52(1/52)}$ = $\frac{5}{1}$ = 5

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At Madison High school each student studies exactly one foreign language. Three fifths of the students taking Spanish, and one f

Step2247 [10]

3/5 = 0.6 = 60%

60% of the total take Spanish.

That leaves 40% for the other languages.

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40% - 10% = 30% take French.

4 0

2 years ago

Write the given differential equation in the form L(y) = g(x), where L is a linear differential operator with constant coefficie

melamori03 [73]

Answer:

The complete solution is

$\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43$

Step-by-step explanation:

Given differential equation is

3y"- 8y' - 3y =4

The trial solution is

$y = e^{mx}$

Differentiating with respect to x

$y'= me^{mx}$

Again differentiating with respect to x

$y''= m ^2 e^{mx}$

Putting the value of y, y' and y'' in left side of the differential equation

$3m^2e^{mx}-8m e^{mx}- 3e^{mx}=0$

$\Rightarrow 3m^2-8m-3=0$

The auxiliary equation is

$3m^2-8m-3=0$

$\Rightarrow 3m^2 -9m+m-3m=0$

$\Rightarrow 3m(m-3)+1(m-3)=0$

$\Rightarrow (3m+1)(m-3)=0$

$\Rightarrow m = 3, -\frac13$

The complementary function is

$y= Ae^{3x}+Be^{-\frac13 x}$

y''= D², y' = D

The given differential equation is

(3D²-8D-3D)y =4

⇒(3D+1)(D-3)y =4

Since the linear operation is

L(D) ≡ (3D+1)(D-3)

For particular integral

$y_p=\frac 1{(3D+1)(D-3)} .4$

$=4.\frac 1{(3D+1)(D-3)} .e^{0.x}$ [since $e^{0.x}=1$ ]

$=4\frac{1}{(3.0+1)(0-3)}$ [ replace D by 0 , since L(0)≠0]

$=-\frac43$

The complete solution is

y= C.F+P.I

$\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43$

4 0

2 years ago

Write the answer in simplest form: 5/6 − 3/5 I need this ASAP pls help

RSB [31]

Answer:

the answer is 7/30 (answer is .23 repeating)

3 0

2 years ago

Find the value of x. Then, find the measure of each angle.

Talja [164]

Answer:

Step-by-step explanation:

8 0

2 years ago

∠A=5x−18. ∠B=3x+42∘ solve for x and then find the measure of ∠A

KatRina [158]

Answer:

x = 30 ∠A = 132 degrees

Step-by-step explanation:

Set the equations equal to each other to solve for x

5x - 18 = 3x + 42

-3x - 3x Subtract 3x from both sides

2x - 18 = 42

+ 18 + 18 Add 18 to both sides

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x = 30

Now plug this into the equation for angle A

∠A = 5(30) − 18 Multiply

∠A = 150 - 18 Subtract

∠A = 132 degrees

If this answer is correct, please make me Brainliest!

6 0

2 years ago

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