50 fl oz. is the better buy because it cost 0.29 per ounce
Begin by multiplying everything by 3 to get rid of the fraction. That gives us

. The rule is when you divide by a negative, the direction of the sign changes, so we will end up with

. Because there is a line under the inequality sign, the circle is closed. So your choices are the second, fourth, and sixth.
The measure of angle U will be equal to the measure of angle W.
Because W is pronounced "double u", W = 2 * U.
Therefore U = W and U = 2 * W, so both U and W = 0.
Just kidding.
The correct answer is the smallest prime number greater than 40.
Answer:
∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)
Step-by-step explanation:
Start with the Maclaurin series for cos x.
cos x = ∑ₙ₌₀°° (-1)ⁿ x²ⁿ / (2n)!
Substitute ⅓ x².
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓ x²)²ⁿ / (2n)!
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓)²ⁿ x⁴ⁿ / (2n)!
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)
Multiply by 8x.
8x cos (⅓ x²) = ∑ₙ₌₀°° 8x (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)
8x cos (⅓ x²) = ∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)
We have been given an expression
. We are asked to choose the expressions, which are equivalent to our given expression.
Using exponent property
, we can rewrite our given expression as:

Upon looking at our given choices, we can see that option D is the correct choice.
Let us simplify our given expression.


Upon cancelling out
from numerator and denominator, we will get:

Using exponent property
, we will get:

Therefore, option B is a correct choice as well.