The only thing you could factor out is X so it would be
X(4x-5)
We know that
[scale factor]=1/2
[dilated area of circle]=[original area of circle]*[scale factor]²
so
[dilated area of circle]=[original area of circle]*[1/2]²
[dilated area of circle]=[original area of circle]*[1/4]
therefore
the answer is
<span>The area will be 1/4 the original</span>
It depends on what you mean by the delimiting carats "^"...
Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for
.
In that case, you want to find the antiderivative,
Complete the square in the denominator:
Now substitute
, so that
. Then
which simplifies to
Now, recall that
. But we want the substitution we made to be reversible, so that
which implies that
. (This is the range of the inverse sine function.)
Under these conditions, we have
, which lets us reduce
. Finally,
and back-substituting to get this in terms of
yields
<span>To acquire knowledge, thought is a fundamental necessity
-It must be "thought about" before any new ideas can be formulated (e.g., a student who is learning English as a second language must be competent in his primary native language before he can "think" or understand new concepts in another language)
-Initial emergence of language and thought are separate from each other, until about the age of 3 when a transition takes place in the child from the external to the internal
-Children practice private speech (self-talk) to become more competent
---The use of private speech helps children to self-regulate through organizing, guiding, and controlling their behavior
---Private speech is responsible for all higher levels of mental functioning
Noam Chomsky
Language Acquisition
-Language learning is innate
-Chomsky believes that children are prewired to learn language and that infants have a language acquisition device (LAD) built-in neurologically so that they can intuitively understand grammar
-There is a critical period when children find it easy to learn language
Language development milestones: Infant (0-12 months)
-Early vocalizations are spontaneous sounds of cooing (vowels) or crying
-Then babbling sounds (phonemes) begin with sounds more like patterned speech with consonant-vowel strings ("da-da-da-da")</span>
