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2 years ago

Expand and simplify 2(p + 2q – 3).

Mathematics

1 answer:

Viktor [21]2 years ago

7 0

Answer:

2p+4q-6

Step-by-step explanation:

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Help!!!!!!!!!!!!!!!!!!!!!!!!!!

lana [24]

3.78 x 10^9 = 3780000000 = 3,780,000,000

3,780,000,000 / 14,000 = 270,000

270,000 = 2.7 x 10^5

8 0

3 years ago

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

Haley practiced her free throws at the basket ball court and shot 25 times. She made 11 of her shots. What percent of her shots

ivolga24 [154]

Answer:

Step-by-step explanation:

Haley practiced her free throws at the basket ball court and shot 25 times

She made 11 of her shots.

find: What percent of her shots did she NOT make?

<u>11 shots made</u> = 44%

25 shots

100% - 44% = 56%

therefore, 56% of her shot did NOT make it.

8 0

2 years ago

The ratio 25:45 in simplest form is

stepladder [879]

25/45=(5∗5)/(5∗9)=5/9

5/9 is the answer.

5 0

2 years ago

Read 2 more answers

A swimming pool fills 1/10 of the pool in 1/5 of an hour. At this rate, how long does it take to fill up the pool? Show ALL your

Cloud [144]

Answer:

i got 20 hours

Step-by-step explanation:

7 0

2 years ago