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goblinko [34]
3 years ago
12

FREE BARINLIEST

Mathematics
2 answers:
DerKrebs [107]3 years ago
3 0
The answer would have to be 30%
IceJOKER [234]3 years ago
3 0
The answer would be 30 percent.
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Any help with this greatly appreciated.
Anestetic [448]

Put the equation in standard linear form.

x'(t) + \dfrac{x(t)}{t + 5} = 5e^{5t}

Find the integrating factor.

\mu = \exp\left(\displaystyle \int \frac{dt}{t+5}\right) = e^{\ln|t+5|} = t+5

Multiply both sides by \mu.

(t+5) x'(t) + x(t) = 5(t+5)e^{5t}

Now the left side the derivative of a product,

\bigg((t+5) x(t)\bigg)' = 5(t+5)e^{5t}

Integrate both sides.

(t+5) x(t) = \displaystyle 5 \int (t+5) e^{5t} \, dt

On the right side, integrate by parts.

(t+5) x(t) = \dfrac15 (5t+24) e^{5t} + C

Solve for x(t).

\boxed{x(t) = \dfrac{5t+24}{5t+25} e^{5t} + \dfrac C{t+5}}

3 0
2 years ago
The data is shown below:
Marina CMI [18]

Answer:  72

Step-by-step explanation: Its in the middle

4 0
2 years ago
Find the area of this figure.
umka2103 [35]
Rectangle

l = 7.2 - 1.7 = 5.5 ft            b = 3.4 ft

Semicircle

r = 1.7 ft

Shaded region = area of rectangle + area of semicircle

= l x b + πr²/2

= 5.5 x 3.4 + 3.14 x 1.7 x 1.7 x 1/2

= 18.7 + 4.5373

= 23.2373 ft²
6 0
3 years ago
2) A pair of socks is purchased for $3.00 it is then sold for $4.00 What is the percent of change that
Veronika [31]

Answer:

5% change

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the value of y, given that m_ KLM = 137º.
Musya8 [376]

Answer:

y ≈ 5.63

Step-by-step explanation:

m∠KLN and m∠NLM have to add up to m∠KLM

m∠KLN = 47°

m∠NLM = 16y°

m∠KLM = 137°

47 + 16y = 137

16y = 90

y = 45/8

y = 5.625

y ≈ 5.63

6 0
3 years ago
Read 2 more answers
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