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4 years ago

PLEASE HELP FAST Evaluate the expression |-5| + |9+3|

Mathematics

1 answer:

elena-14-01-66 [18.8K]4 years ago

5 0

Answer:

if you want to simplify it, it would be -5 + 12

but if you want to finish the problem then the answer would be positive 7 or just 7

Step-by-step explanation:

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Why is the answer to this integral's denominator have 1+pi^2

ss7ja [257]

It comes from integrating by parts twice. Let

$I = \displaystyle \int e^n \sin(\pi n) \, dn$

Recall the IBP formula,

$\displaystyle \int u \, dv = uv - \int v \, du$

Let

$u = \sin(\pi n) \implies du = \pi \cos(\pi n) \, dn$

$dv = e^n \, dn \implies v = e^n$

Then

$\displaystyle I = e^n \sin(\pi n) - \pi \int e^n \cos(\pi n) \, dn$

Apply IBP once more, with

$u = \cos(\pi n) \implies du = -\pi \sin(\pi n) \, dn$

$dv = e^n \, dn \implies v = e^n$

Notice that the ∫ v du term contains the original integral, so that

$\displaystyle I = e^n \sin(\pi n) - \pi \left(e^n \cos(\pi n) + \pi \int e^n \sin(\pi n) \, dn\right)$

$\displaystyle I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n - \pi^2 I$

$\displaystyle (1 + \pi^2) I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n$

$\implies \displaystyle I = \frac{\left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n}{1+\pi^2} + C$

6 0

2 years ago

Lisa drew a picture of a boat. She used the scale factor 1 inch : 6 feet

kotykmax [81]

Answer:

42 feet

Step-by-step explanation:

if each inch equals 6 feet, and if her drawing is 7 inches long, then 7×6 would equal the auctual length of the boat, which is 42 feet.

3 0

3 years ago

PLEASE LOOK at the photo and help me on these 2 questions :(!!!!!

Tems11 [23]

Answer:

1) f(g(2)) = 24

2) f(g(-1)) = -4

Step-by-step explanation:

1) GIven f(x) = x²+2x and g(x) = 2x

f(g(x)) = f(2x)

f(2x) = (2x)² + 2(2x)

f(2x) = 4x² + 4x

f(g(x)) = 4x² + 4x

f(g(2)) = 4(2)² + 4(2)

f(g(2)) = 16+8

f(g(2)) = 24

2) f(x) = x+1 and g(x) = 5x

f(g(x)) = f(5x)

f(5x)= 5x + 1

f(g(x)) = 5x + 1

f(g(-1)) = 5(-1) + 1

f(g(-1)) = -5+1

f(g(-1)) = -4

8 0

3 years ago

Solve 0.6(10n + 25) = 10 + 5n ?

Pachacha [2.7K]

Answer: $x=-5$

Simplify both sides of the equation

$(0.6)(10n)+(0.6)(25)=10+5n(Distribute)\\6n+15=10+5n\\6n+15=5n+10$

Subtract 5n from both sides

$6n+15-5n=5n+10-5n\\n+15=10$

Subtract 15 from both sides

$n+15-15=10-15\\n=-5$

5 0

4 years ago

Read 2 more answers

Help fast plz give me the answer

Lunna [17]

The answer is 75 degrees I believe.

45 + 60 + x = 180

I’m pretty sure I’m correct but I’m so sorry if I’m wrong.

7 0

3 years ago