Answer: 615.44 cm²
Step-by-step explanation: When solving this problem the formula that you need to know is that area = π r².
The 14 cm that they are giving you is the radius of the circle, and π equals 3.14. So, in order to solve this the formula is:
Area = 3.14 x 14²
Area = 3.14 x 196
Area = 615.44 cm²
The remainder when f(x) = 2x³ + 2x² - 3x - 3 is divided by x - 2 is 15.
We know that the remainder theorem states that if a polynomial p(x) is divided by a linear polynomial q(x) whose zero is x = a, then the remainder is given by r = p(a).
Here p(x) = f(x) = 2x³ + 2x² - 3x - 3 and q(x) = x - 2. First, we have to find the zero of q(x).
Now, q(x) = 0
i.e. x - 2 = 0
i.e. x = 2.
So, the zero of q(x) is 2, i.e. a = 2.
Then by the remainder theorem,
r = p(a) = f(2) = 2(2)³ + 2(2)² - 3(2) - 3 = 2 × 8 + 2 × 4 - 6 - 3 = 16 + 8 - 9 = 16 - 1 = 15
We can conclude that the remainder when f(x) = 2x³ + 2x² - 3x - 3 is divided by x - 2 is 15.
Know more about the remainder theorem here -
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Answer:
5(chore payment)
Step-by-step explanation:
since we dont know how much money the chore is worth it would be 5 times the money
Sounds like you did a good job so far here is a picture of the work
Thickness of 1 quarter = 1.75 mm
So, 1000 quarters will be = ![1000\times1.75](https://tex.z-dn.net/?f=1000%5Ctimes1.75)
= 1750 mm
So, a stack of 1000 quarters will be 1750 mm high.