3 years ago

What is the volume of a cube with 1/3 sides

Mathematics

1 answer:

yulyashka [42]3 years ago

7 0

V= L³

V= ( $\frac{1}{3}$ )³

V= $\frac{1}{27}$

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Cable has 24 pennies he has hafe as many nickels as pennies he has 5 more dimes than nickels he has 6 fewer quarters than dimes

Andreyy89

Pennies (P) = 24
Nickels = 1/2P
Dimes = 1/2P + 5
Quarters = (1/2P + 5) -6

Therefore...

Nickels = 1/2P = 1/2(24)= 12
Dimes = 12 + 5 = 17
Quarters = 17 - 6 = 11

6 0

3 years ago

In the equation (x^2+y)^5, what is the coefficient of the term x^4y^3? what is the coefficient of the same term in the expansion

lys-0071 [83]

$\displaystyle
(x+y)^n=\sum_{k=0}^n\binom{n}{k}x^{n-k}y^k$

-------------------------------------------------------------

$\displaystyle
(x^2+y)^n=\sum_{k=0}^n\binom{n}{k}x^{2n-2k}y^k\\
n=5\\
k=3\\\\\binom{5}{3}=\dfrac{5!}{3!2!}=\dfrac{4\cdor5}{2}=10$

It's 10.

----------------------------------------------------

$\displaystyle
(3x^2+y)^n=\sum_{k=0}^n\binom{n}{k}(3x)^{2n-2k}y^k=\sum_{k=0}^n\binom{n}{k}\cdot 3^{2n-2k}\cdot x^{2n-2k}y^k\\\\
n=5\\
k=4\\\\
\binom{5}{3}\cdot3^{2\cdot5-2\cdot4}=10\cdot3^{2}=10\cdot9=90$

It's 90

6 0

3 years ago

00:00

Valentin [98]

I’m 99% sure it’s D because you would add both those numbers to equal his debt that day

3 0

3 years ago

What is 7/81 + 7/9 as a proper fraction

Lorico [155]

70/81 is 7/81+7/9 as a proper fraction

3 0

3 years ago

Which step is it?? Please help me.

eduard

Answer:

Use PEMDAS so division would be the first step

Step-by-step explanation:

1)Parentheses

2)Exponents

3)Multiplication

4)Division

5)Addition

6)Subtraction

6 0

3 years ago