Rewrite the rational exponent as a radical by extending the properties of integer exponents. 2 7/8 divided by 2 1/4

1 answer:

7 0

We know the rule of change: a b/c= (ac+b):c
So we have 2 7/8= (2x8+7):8= 23/8
and the second: 2 1/4 = (2x4+1):4= 9/4
We do the division: 23/8: 9/4= 23/8 x 4/9= (23x4):(8x9)= 23/18= 1 5/18

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9(2*2+4➗2)= can you show how to get the answer. Which is 54.

Katen [24]

Here I'll Simplify it to show the work.
You need PEMDAS

9(2*2+4÷2)
9(4+4÷2)
9(8÷2)
9(4)
9(4) = 9 × 4 = 36

The Answer is 36.

6 0

3 years ago

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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]

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

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

It's 10.

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

It's 90

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3 years ago

Lim as x->ln2 of ((e^3x)-8)/((e^2x)-4)

andriy [413]

X ⇒ ln (2)

e^3 x - 8/e^2 x - 4

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3 years ago

Select all of the following expressions that are equivalent to 16a+40 .

lina2011 [118]

The first one is true
4(4a+10) is
16 a + 40 after distribution

The second one is also true
2(8a+20)
16a + 40 after distribution

Third is not true
4a(4+10a)
16a + 40a^2 after distribution

Last one is also true
8(2a+5)
16a + 40 after distribution

Hope this helps :)

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3 years ago

The length of Suez Canal on a map of drawing scale 1 : 1400000 is 70 Km ,then its

lapo4ka [179]

Answer:

Step-by-step explanation:because its the answer

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2 years ago