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Marat540 [252]
3 years ago
12

What is the value of the summation ∑i=14(2i+6i2)

Mathematics
1 answer:
Alex787 [66]3 years ago
5 0
You need to know the following:

sigma(i) = 1/2 * i * (i+1)

sigma(i^2) = 1/6 * i * (i+1) * (2i+1)

Therefore, the answer should be 14( i(i+1) + i * (i+1) * (2i+1)) = 14i(i+1)(2i+2) = 28i(i+1)^2
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Answer:

True

Step-by-step explanation:

An integer is anything that's not a fraction/decimal, and being even is common knowledge

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Is the given function continuous at x=1?
rusak2 [61]

Answer:

The answer is "Option C".

Step-by-step explanation:

Given:

\to f(x)=2x^2-3x+1\\\\when \ x=1\\\\\to f(1)= 2(1)^2-3(1)+1\\\\\to f(1)= 2(1)-3+1\\\\\to f(1)= 2-3+1\\\\\to f(1)=-1+1\\\\\to f(1)=0

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3 years ago
Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27\pi
anyanavicka [17]

Question:

Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27\pi27π27, pi cm^3 3 start superscript, 3, end superscript of melted purple liquid. The radius of the cone is 333 cm. What is the height of the cone?

Answer:

The height of the cone is 9 \ cm

Explanation:

It is given that the radius of the cone is 3 \ cm

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The height of the cone can be determine using the formula,  

$V=\frac{1}{3} \pi r^{2} h$

Substituting the values V=27 \pi and r=3, we get,

$27 \pi=\frac{1}{3} \pi(3)^{2} h$

Multiplying both sides by 3, we have,

$81 \pi= 9\pi h$

Dividing both sides by $9 \pi$, we have,

9=h

Thus, the height of the cone is 9 \ cm

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