Simplify the square root of four over the cubed root of four.

Answers

Answer 1
Answer:

\bf ~\hspace{7em}\textit{rational exponents} \n\n a^{( n)/( m)} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-( n)/( m)} \implies \cfrac{1}{a^{( n)/( m)}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \n\n\n ~\hspace{7em}\textit{negative exponents} \n\n a^(-n) \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^(-n)} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^(-m)\implies a^(n-m) \n\n[-0.35em] \rule{34em}{0.25pt}

\bf \cfrac{√(4)}{\sqrt[3]{4}}\implies \cfrac{\sqrt[2]{4}}{\sqrt[3]{4}}\implies \cfrac{4^{(1)/(2)}}{4^{(1)/(3)}}\implies 4^{(1)/(2)}\cdot 4^{-(1)/(3)}\implies 4^{(1)/(2)-(1)/(3)}\implies 4^{(3-2)/(6)} \n\n\n 4^{(1)/(6)}\implies (2^2)^{(1)/(6)}\implies 2^{2\cdot (1)/(6)}\implies 2(1)/(3)\implies \sqrt[3]{2}

Answer 2
Answer:

Answer:

2 will be the answer

Step-by-step explanation:


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Find the relative extrema of f(x) = 1+8x − 3x^2

Answers

f(x)=1+8x-3x²
1)we have to calculate the first derived
f´(x)=8-6x
2) we have to equalizate the first derived to "0", and find out the value of "x".
8-6x=0
-6x=-8
x=-8/-6=4/3
3)we have to calculate the second derived
f´´(X)=-6<0  ⇒ at x=4/3 we have a maximum.
4) we find the value of "y"
f(4/3)=1+8(4/3)-3(4/3)²=1+(32/3)-(48/9)=57/9

Therefore:
at (4/3 , 57/9) have a maximum

Classify -2x^4-x^3+8x^2=12 by degree

Answers

To find the degree of a polynomial, we must find the LARGET power in the equation: and that is 4.

My cookbook says that a salad sauce should be made of 1/3 lemon juice and 2/3 oil.I put in 50 ml oil but my hand slipped when adding the lemon juice and the total volume is now 90 ml.
How much oil must I add to have the correct proportions?

A 10 ml B 30 ml C 40 ml D 80 ml

Answers

Answer:

We know that you put (90-50), or 40 ml of lemon juice. If 40 ml of lemon juice is 1/3 of the total sauce, then 80 ml of it should be oil.

So you should add 30 ml more oil to make it proportional.

Let me know if this helps!

How many times does 6 go into 85

Answers

If you divide 85 by 6, you will get 14.16 and the closest number will be 14.
14.1666667 times. Rounded- 14.167 pr 14.17

Sydney is going to an amusement park. The price of admission into the park is $30, and once she is inside the park, she will have to pay $5 for every ride she rides on. How much money would Sydney have to pay in total if she goes on 15 rides? How much would she have to pay if she goes on r � r rides?

Answers

Answer:

105

Step-by-step explanation:

15×5=75

75+30=105

the answer is 105

Answer:

105

Step-by-step explanation:

15x5=75

105

Solve each equation.Show your work.
Can someone help me please??​

Answers

Answer:

1/2a = -5

a = (-5 x 2) : 1

a = -10

8 - b = 9,5

b = 8 - 9,5

b = -1,25

0,1 = -10c

c = 0,1 : -10

c = -0,01

I hope it's helpful.