1. -3.2 rational- real
<span>2. 2/5 rational- real </span>
<span>3 negative square root of 12 irrational-not real </span>
<span>4. square roof of 4 over 2- rational- real </span>
<span>5. -20 - rational -real </span>
<span>6. square root of 16. - rational- real
https://answers.yahoo.com/question/index?qid=20120104161524AAlNxDS
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We're given
The function is continuous for all . If a function is continuous, then
This allows us to pass the limit through the square root:
The limit of a quotient is the quotient of limits (provided the limit of the denominator is not 0):
In the numerator, we can distribute the limit as
So we end up with
Then we just solve for the desired limit:
Obviously the limit can't have two values, so one of these is not right, but only the positive value is one of the answer choices, so the limit is 16.
The product is 60.
We start out with the information we have. This forms a right triangle, with one leg being 24, the other leg x, and the hypotenuse 30. Using the Pythagorean theorem we have
x²+24²=30²
x²+576=900
Subtract 576 from both sides:
x²+576-576 = 900-576
x²=324
Take the square root of each side:
√x²=√324
x=18
We know that the formula for the volume of a triangular prism is V=(1/2bh)H, where b is the base of the triangle, h is the height of the triangle, and H is the height of the prism. Substituting our known information we have:
720=(1/2*18*24)y
720=216y
Divide both sides by 216:
720/216 = 216y/216
3 1/3 = y
This means the product of x and y would be:
18(3 1/3)
18(10/3)
180/3
60
1/4 is the answer is is a lower fraction
Step-by-step explanation:
a=12
d=6-12=-6
Tn=a+(n-1)d
Tn=12+(n-1)×-6
Tn=12+(-6)(n-1)