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2 years ago

Integral from 0 to 5 of x^2 + 3 dx

Mathematics

1 answer:

Alla [95]2 years ago

4 0

Answer:

=170/3 or (decimal 56.67)

Step-by-step explanation:

Steps

∫⁵ x²+3dx

⁰

Apply the Sum Rule: ∫fx) + gx) dx = ∫f(x)dx +-∫ g(x)

∫⁵ x² dx +∫⁵ 3dx

⁰ ⁰

∫⁵ x² dx=125/3

⁰

∫⁵ 3dx=15

⁰

125/3+15

=170/3

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a person runs at a constant speed of 9.2 miles per hour for 6 minutes and 30 seconds. How far did they travel in yards.

ipn [44]

Given:

Speed $= \bold{9.2 \ \frac{miles}{hour}}$

$\therefore \\\\$

1-hour= 60 minutes

1-minutes=60 second

1-hour= 3600 second

Converting the given time into seconds:

Time= 6 minutes and 30 second

$=\bold{6\times 60 \ second + 30 \ second }\\\\=\bold{360\ second+30\ second}\\\\=\bold{390\ second}\\\\$

When 3600 seconds covers=9.2 miles

Then equation:

$=\bold{\frac{9.2}{3600}}\\\\$

390 seconds covers:

$=\bold{\frac{9.2}{3600}\times 390 \ miles} \\\\$

Let

$\bold{1 \ miles= 1760\ yard}\\\\$

Convert the traveling value into yards:

$=\bold{ \frac{9.2}{3600}\times 390\times 1760}\\\\=\bold{ \frac{9.2}{36}\times 39\times 176}\\\\=\bold{ \frac{9.2}{12}\times 13\times 176}\\\\=\bold{ \frac{9.2}{12}\times 2288}\\\\=\bold{ 9.2\times 190.66}\\\\=\bold{ 1754.072\ yards}\\\\$

Therefore, total traveling yards are"1754.072".

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2 years ago

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5x+4.27xy+20y+36y-19x+9.11

mote1985 [20]

So what I did was the terms that were alike like this: (5x -19x)+(20y+36y)+4.27xy+9.11. Then I simplified and got -14x+56y+4.27xy+9.11. The terms 4.27xy and 9.11 were not in ()'s because they were the only ones with an alike term. Hope that helps and also try to doing the steps and see what you get. If you get it wrong look to see where you messed up and try again! If I am wrong please notify me, I would appreciate it!

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Which is greater, 1 5/8 or 1 2/3 how can you be sure?

krek1111 [17]

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Lady bird [3.3K]

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