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3 years ago

Write an equivalent expression for 1/ y-1/4 using positive exponents

1 answer:

7 0

$\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{1}{~~y^{-\frac{1}{4}}~~}\implies y^{\frac{1}{4}}$

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1,495 divided by 45 please help me before tomorrow

creativ13 [48]

299/9 is the correct answer

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3 years ago

A survey indicated that 2 out of 4 doctors used brand X aspirin. If 1000 doctors used brand X, how many doctors were surveyed? P

Ratling [72]

We can set this up as a proportion.

Since 2 is proportional to 1000, then 4 is proportional to "doctors surveyed".

$\frac{2}{4} = \frac{1000}{d}$ where d is the doctors surveyed.

Cross multiply.

2d = 4000
d=2000

2000 doctors were surveyed.

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3 years ago

What is the approximate area, in square feet, of a circle with a diameter of 6 feet?

Zanzabum

Answer:

PI×(RADIUS) 2

Step-by-step explanation:

RADIUS = 6/2 = 3 FEET

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3 years ago

Rewrite the quality 827,000,000,000,000 pico second to show :

Ilia_Sergeevich [38]

Answer:

a. 1 sig. fig. _800,000,000,000,000 picoseconds (8 x 10^14 picoseconds)

b. 2 sig. figs. 830,000,000,000,000 picoseconds (8.3 x 10^14 picoseconds)

c. 3 sig. figs. 827,000,000,000,000 picoseconds (8.27 x 10^14 picoseconds)

d. 4 sig. figs. 827,000,000,000,000 picoseconds (8.270 x 10^14 picoseconds)

e. 5 sig. figs. 827,000,000,000,000 picoseconds (8.2700 x 10^14 picoseconds)

Step-by-step explanation:

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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.

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

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

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 better evolved than the previous ones.

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

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3 years ago