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3 years ago

Can someone tell me what the volume is? It is question #1

Mathematics

2 answers:

tia_tia [17]3 years ago

8 0

The answer would be 19.6

Ivahew [28]3 years ago

3 0

Volume is the measure of the amount of space inside of a solid figure, like a cube, ball, cylinder or pyramid. It's units are always "cubic", that is, the number of little element cubes that fit inside the figure.

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Discuss the income effect for normal and inferior goods

Virty [35]

Answer:

➢ The income effect describes the <u>relationship between an increase in real income and demand for a good</u>. The result of the income effect for a normal good is discernible to that of an inferior good in that a positive income change causes a consumer to buy more of a normal good, but less of an inferior good.

$Into \: your Arms$

#CarryOnLearning

7 0

2 years ago

I can find the common denominator of fractions with unlike denominators.

ArbitrLikvidat [17]

Answer:

C. Disagree

<h2><u>HOPE IT HELPED</u></h2>

Step-by-step explanation:

3 0

3 years ago

Evaluate 1^3 + 2^3 +3^3 +.......+ n^3

Molodets [167]

Notice that

$(n+1)^4-n^4=4n^3+6n^2+4n+1$

so that

$\displaystyle\sum_{i=1}^n((n+1)^4-n^4)=\sum_{i=1}^n(4i^3+6i^2+4i+1)$

We have

$\displaystyle\sum_{i=1}^n((i+1)^4-i^4)=(2^4-1^4)+(3^4-2^4)+(4^4-3^4)+\cdots+((n+1)^4-n^4)$

$\implies\displaystyle\sum_{i=1}^n((i+1)^4-i^4)=(n+1)^4-1$

so that

$\displaystyle(n+1)^4-1=\sum_{i=1}^n(4i^3+6i^2+4i+1)$

You might already know that

$\displaystyle\sum_{i=1}^n1=n$

$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$

so from these formulas we get

$\displaystyle(n+1)^4-1=4\sum_{i=1}^ni^3+n(n+1)(2n+1)+2n(n+1)+n$

$\implies\displaystyle\sum_{i=1}^ni^3=\frac{(n+1)^4-1-n(n+1)(2n+1)-2n(n+1)-n}4$

$\implies\boxed{\displaystyle\sum_{i=1}^ni^3=\frac{n^2(n+1)^2}4}$

If you don't know the formulas mentioned above:

The first one should be obvious; if you add $n$ copies of 1 together, you end up with $n$ .
The second one is easily derived: If $S=1+2+3+\cdots+n$ , then $S=n+(n-1)+(n-2)+\cdots+1$ , so that $2S=n(n+1)$ or $S=\dfrac{n(n+1)}2$ .
The third can be derived using a similar strategy to the one used here. Consider the expression $(n+1)^3-n^3=3n^2+3n+1$ , and so on.

7 0

3 years ago

Kevin is riding his bike to work. He can bike 6 1/2 kilometers in 3/5 of an hour. How many kilometers can Kevin bike in one hour

uranmaximum [27]

Answer:

If Kevin can ride 13/2 kilometers in 3/5 of an hour then he can ride 13/6 in 1/5 of an hour. If you multiply 1/5 of an hour by 5 you would get an hour which would also be 5x the distance as 13/6. Kevin can bike 65/6 or 10 and 5/6 kilometers in an hour.

4 0

3 years ago

Can you figure out what the answer is here?

Andreas93 [3]

Answer:

Step-by-step explanation:

Triangle = 10

circle = 5

square = 4 (half square = 2)

10 + 5 x 2 =20

Hope this helps

7 0

3 years ago

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