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kompoz [17]
3 years ago
14

What is the simplified form of the sixth root of x times the sixth root of x times the sixth root of x times the sixth root of x

? x to the two-thirds power x to the three halves power 4 times the sixth root of x the sixth root of 4x
Mathematics
1 answer:
ladessa [460]3 years ago
8 0

X^(1/6) · x^(1/6) · x^(1/6) ·x^(1/6) = x^(4/6) since we add the exponents

4/6 can be simplified to 2/3

The simplified form is x^(2/3)

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15. If y varies directly as x and y = 540 when x = 10, find x when y = 1080
Sholpan [36]

\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}

\stackrel{\textit{"y" varies directly as "x"}}{y = kx}\qquad \textit{we also know that} \begin{cases} y = 540\\ x = 10 \end{cases}\implies 540=k(10) \\\\\\ \cfrac{540}{10}=k\implies 54=k~\hfill \boxed{y=54x} \\\\\\ \textit{when y = 1080, what is "x"?}\qquad 1080=540x\implies \cfrac{1080}{540}=x\implies 2=x

6 0
2 years ago
Deana bought 12 packages of batteries. Some of the packages contained 4 batteries and come contained 6 batteries. She bought a t
lana [24]

The answer is C:3 if you have any more questions just let me know I will be happy to help. Have a nice day.


3 0
3 years ago
What is the best way to gather information for each of the scenarios?
nika2105 [10]

(a) The team captain wants to know what his teammates eats before a match

Team captain know by taking a survey of teammates

(b) The team captain wants to know who can score most goals against the best player

This can be known by observation of games. so its observational study

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(d) The team captain wants to know what other sports teammates play

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3 0
3 years ago
Read 2 more answers
Susan needs to buy apples and oranges to make fruit salad. She needs 15 fruits in all. Apples cost $3 per piece, and oranges cos
mihalych1998 [28]

Answer:

Part a) 30+m

Part b) $36

Step-by-step explanation:

Part a) Identify an expression that represents the amount Susan spent on the fruits

The complete question in the attached figure

Let

m ------> the number of apples

n -----> the number of oranges

q ----> the amount Susan spent on the fruits

we know that

m+n=15 ----> (in total she needs 15 fruits)

n=15-m -----> equation A

q=3m+2n ----> equation B

Substitute equation A in equation B

q=3m+2(15-m)

q=3m+30-2m

q=30+m -----> expression that represents the amount Susan spent on the fruits

Part b) Identify the amount she spent if she bought 6 apples

we know that

If m=6 apples

substitute the value of m in the expression of Part a)

q=30+m -----> q=30+6=$36

3 0
3 years ago
Factorize<br> ху<br> + 3x +3y<br> + 18
noname [10]

Answer:

(x+6)(y+3)

Step-by-step explanation:

  1. xy + 3x + 6y + 18
  2. x(y + 3) + 6(y+3)
  3. <u>(</u><u>x</u><u>+</u><u>6</u><u>)</u><u>(</u><u>y</u><u>+</u><u>3</u><u>)</u>
3 0
2 years ago
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