Step-by-step explanation:
f(x) = 9 * 81^x
When x = -1/2,
f(-1/2) = 9 * 81^(-1/2) = 9 * (1/9) = 1.
2.25 x 1000 = 2250.
That's how much yds of ribbons he needs.
Answer: h=6
Step-by-step explanation: all you have to do is divide 54 by 9 and you get your answer. But make sure you put h first
A percentage is a way to describe a part of a whole. The money that is raised by Nina in the second month is $960.
<h3>What are Percentages?</h3>
A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that the money raised by Nina in the first month is $800, while the money raised by Nina in the second month is 20% more.
Therefore, the money raised by Nina in the second month is,
Money raised = $800 + 20% of $800
= $800 + 0.20($800)
= $800 + $160
= $960
Hence, the money that is raised by Nina in the second month is $960.
Learn more about Percentages here:
brainly.com/question/6972121
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L=Lim tan(x)^2/x x->0
Since both numerator and denominator evaluate to zero, we could apply l'Hôpital rule by taking derivatives.
d(tan^2(x))/dx=2tan(x).d(tan(x))/dx = 2tan(x)sec^2(x)
d(x)/dx = 1
=>
L=2tan(x)sec^2(x)/1 x->0
= (2(0)/1^2)/1
=0/1
=0
Another way using series,
We know that tan(x) = x+x^3/3+2x^5/15+.....
then tan^2(x), using binomial expansion gives
x^2+2*x^4/3+.... (we only need two terms)
and again apply l'Hôpital's rule, we have
L=d(x^2+2x^4/3+...)/d(x) = (2x+8x^3/3+...)/1
=0 as x->0
