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allochka39001 [22]
2 years ago
12

What is the domain of the function y=\sqrt{x}

Mathematics
1 answer:
DedPeter [7]2 years ago
4 0

Answer: C (third choice)

Step-by-step explanation:

Square roots cannot hold negative x values as it will create an imaginary number.

Therefore the starting value of x must be starting at 0 and then moving to infinity

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Use L’Hospital’s Rule to evaluate the following limit.
Serga [27]

Answer:

3

Step-by-step explanation:

lim(t→∞) [t ln(1 + 3/t) ]

If we evaluate the limit, we get:

∞ ln(1 + 3/∞)

∞ ln(1 + 0)

∞ 0

This is undetermined.  To apply L'Hopital's rule, we need to rewrite this so the limit evaluates to ∞/∞ or 0/0.

lim(t→∞) [t ln(1 + 3/t) ]

lim(t→∞) [ln(1 + 3/t) / (1/t)]

This evaluates to 0/0.  We can simplify a little with u substitution:

lim(u→0) [ln(1 + 3u) / u]

Applying L'Hopital's rule:

lim(u→0) [1/(1 + 3u) × 3 / 1]

lim(u→0) [3 / (1 + 3u)]

3 / (1 + 0)

3

4 0
3 years ago
a shop sells 1 chocolate for $1 each,you can exchange 3 wrappers for 1 chocolate.if you have $15 how many chocolates can you get
frutty [35]
You can only get 5 c chocolates if you have that many.
5 0
3 years ago
Work out the size of the angle marked t
tiny-mole [99]

Answer:

<h2>35°</h2>

Step-by-step explanation:

This is an isoceles triangle

And as we all know an isoceles triangle has two equal base angles.

And we also know that the sum of all interior angles of the triangle is 180°

So based on this we can form an algebraic equation of solve for angke t (Let's do it :))

110 + 2t = 180 \\ 2t = 180 - 110 \\ 2t = 70 \\ t  =  \frac{70}{2}  \\ t = 35

So the base angle is 35°

3 0
3 years ago
Read 2 more answers
Simplify. (−5p4z6u)3
sineoko [7]
The rules of exponents tell you that you can distribute the exponent to each of the factors. When one already has an exponent, those exponents multiply.
(-5p^{4}z^{6}u)^{3}=(-5)^{3}\cdot(p^{4})^{3}\cdot(z^{6})^{3}\cdot u^{3}\\\\=-125p^{4\cdot 3}z^{6\cdot 3}u^{3}\\\\=-125p^{12}z^{18}u^{3}
4 0
3 years ago
What function below is the inverse of :
posledela

The second option is right, because inverse means opposite. And to get the opposite just flip it and you have your answer.

7 0
3 years ago
Read 2 more answers
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