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2 years ago

Kyle is 4 times older than liam. in six years kyle will be 2 times older than liam. how old are they now?

Mathematics

2 answers:

seropon [69]2 years ago

8 0

9 and 18 they were 3 and 12 last year

mr_godi [17]2 years ago

4 0

9 and 18
They were 3 and 12 six years ago because 12/3= 4 and 3+6=9 and 12+6=18 and 18/9=2

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Integration by Parts Evaluate e-2x cos(2x) dx.

kifflom [539]

Let

$I = \displaystyle \int e^{-2x} \cos(2x) \, dx[/]texIntegrate by parts:[tex]\displaystyle \int u \, dv = uv - \int v \, du$

with

$u = e^{-2x} \implies du = -2 e^{-2x} \, dx \\\\ dv = \cos(2x) \, dx \implies v = \dfrac12 \sin(2x)$

Then

$\displaystyle I = \frac12 e^{-2x} \sin(2x) + \int e^{-2x} \sin(2x) \, dx + C$

Integrate by parts again, this time with

$u = e^{-2x} \implies du = -2 e^{-2x} \, dx \\\\ dv = \sin(2x) \, dx \implies v = -\dfrac12 \cos(2x)$

so that

$\displaystyle I = \frac12 e^{-2x} \sin(2x) - \frac12 e^{-2x} \cos(2x) - \int e^{-2x} \cos(2x) \, dx + C\\\\ \implies I = \frac{\sin(2x)-\cos(2x)}{2e^{2x}} - I + C \\\\ \implies 2I = \frac{\sin(2x) - \cos(2x)}{2e^{2x}} + C \\\\ \implies I = \boxed{\frac{\sin(2x) - \cos(2x)}{4e^{2x}} + C}$

6 0

1 year ago

What equation represents (0,3) (1, 1)

weqwewe [10]

your answer would be 2x - y + 3 = 0

3 0

2 years ago

Based on past experience, a bank believes that 4% of the people who receive loans will not make payments on time. The bank has r

Nina [5.8K]

Answer:

Mean = 0.04

Step-by-step explanation: given that P = 4%

n = 300

the mean of the sampling distribution of the proportion of clients in this group who may not make timely payments will be

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4 0

3 years ago

Is 25 pt or 13 qt bigger

Lina20 [59]

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13 qts add up to 26 pts.

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5 0

3 years ago

three roommates Ava, Ben, and Cora went grocery shopping online. Ava spent three times as much Ben and half as much Cora. If tog

Mamont248 [21]

Answer:

Cora's spend will be = $ 16.66

Step-by-step explanation:

Let y be the amount Ben spent

As Ava spent three times Ben will be 3y and half as much Cora(2y)

so the equation becomes

y + 2y + 3y = 50

6y = 50

y = 50/6

y = 8.33

So Cora's spend will be : 2y = 2(8.33) = 16.66 units currency

Note: if currency is in $

Then Cora's spend will be = $ 16.66

8 0

3 years ago