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3 years ago

14

Joaquin buys 3 packs light bulbs. Each pack contains 12 light bulbs. After changing the bulbs in his house, he has 15 bulbs left

. How many light bulbs did he use?

1 answer:

ivanzaharov [21]3 years ago

5 0

Answer:

Step-by-step explanation:

3 times 12 equal 36.

36 minus 15 equals 21.

So Joaquin uses 21 light bulbs.

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valkas [14]

Answer:

28 guests with 2 guests remaining

Step-by-step explanation:

254/9 = 28.2222222

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2 years ago

Solve the initial-value problem<br><br> y' = x^4 - \frac{1}{x}y, y(1) = 1.

natta225 [31]

The ODE is linear:

$y'=x^4-\dfrac yx$

$y'+\dfrac yx=x^4$

Multiplying both sides by $x$ gives

$xy'+y=x^5$

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$(xy)'=x^5$

Integrating both sides with respect to $x$ yields

$xy=\dfrac{x^6}6+C$

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$1=\dfrac16+C\implies C=\dfrac56$

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$\boxed{y(x)=\dfrac{x^5}6+\dfrac5{6x}}$

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3 years ago

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jarptica [38.1K]

There are 22 card and 8 motorcycles

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3 years ago

Elena and Jada are 24.5 miles apart on a path when they start moving toward each other. Elena bikes at a constant speed of 8 mil

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3 years ago

Thomas Malthus, a political economist, showed that the human population would outstrip available resources unless kept in check

vredina [299]

Answer:

C. Darwin realized this also applied to plant and animal populations, and this struggle for existence resulted in an opportunity for natural selection to act on differences within populations.

Step-by-step explanation:

Thomas Malthus in his Malthusian theory of population concluded that since population increases geometrically and resources only increase arithmetically, there will reach a point in time when the resources will be not be able to sufficiently cater for the population.

The Charles Darwin theory of Evolution is based on five key observations and conclusions drawn from them. These observations and inferences are summarized as:

Species are more fertile. They birth more offspring than can grow to adulthood.
Populations remain fairly stable with miniscule fluctuations.
Food resources are limited, but are relatively constant most of the time.

<em>Based off these observations, it is seen that there will be a </em><u><em>struggle</em></u><em> amongst the members of the specie for the </em><u><em>limited resources.</em></u>

In sexually reproducing species, generally no two individuals are identical. Variation is rampant.
Much of this variation is heritable.

<em>From the last two observations, the species that survive then pass on their traits to their offspring and the cycle repeats itself with each subsequent generation being </em><u><em>better evolved</em></u><em> than the previous ones.</em>

Thus, Darwin discovered that the Malthusian theory of population also applies to plant and animal populations where <u>scarcity of resources</u> gives room for <u>natural selection</u> to take place due to the variation within populations.

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3 years ago