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3 years ago

Which of the following is the simplified form of the seventh root of x times the seventh root of x times the seventh root of x ?

Mathematics

1 answer:

Studentka2010 [4]3 years ago

5 0

When multiplying numbers of the same base , we add the powers.
Example:
2^2 * 2^3 = 2^(2+3) = 2^5

For the givens:
The seventh root of x can be written as x^(1/7)
Now, we need to multiply x^(1/7) by x^(1/7) by x^(1/7)
These numbers have the same base which is "x", therefore, we will just add the power.
This means that:
x^(1/7) * x^(1/7) * x^(1/7) = x^(1/7 + 1/7 + 1/7) = x^(3/7)

Therefore, the correct choice is the first one: x^(3/7)

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Please help me, A candle is in the shape of a frustum (a cone with the top cut off). Calculate the volume of the candle to the n

MariettaO [177]

Answer:

Height = 8 cm

You will need this formula (see attached):

Volume = [PI * 8 * (2² + 2*4 + 4²)] / 3

Volume = [3.14159265 * 8 * (4 + 8 + 16)] / 3

Volume = 234.57 cubic centimeters

Source: http://www.1728.org/volcone.htm

Step-by-step explanation:

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2 years ago

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Step-by-step explanation:

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3 years ago

Factor: x2 - 14x = -48

Arturiano [62]

Answer:

x = 12 and 2

Step-by-step explanation:

x^2 - 14x + 48 = 0

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3 years ago

Suppose z varies directly with x and inversely with the square of y. If z = 18 when I = 6 and y = 2, what is z when I 7 and y =

madam [21]

It is given that z varies directly with x and inversely with the square of y so it follows:

$z=k\frac{x}{y^2}$

It is also given that z=18 when x=6 and y=2 so it follows:

$\begin{gathered} 18=k\frac{6}{2^2} \\ k=\frac{18\times4}{6} \\ k=12 \end{gathered}$

So the equation of variation becomes:

$z=12\frac{x}{y^2}$

Therefore the value of z when x=7 and y=7 is given by:

$\begin{gathered} z=\frac{12\times7}{7^2} \\ z=\frac{12}{7} \\ z\approx1.7143 \end{gathered}$

Hence the value of z is 12/7 or 1.7143.

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1 year ago

Resuelve el siguiente sistemas de ecuaciones por el método

marishachu [46]

Answer:

x=10 and y=12

Step-by-step explanation:

To solve this quadratic equation we will use two method

1. Elimination method

2. substitution method

first of we use elimination method

we either eliminate x or y

we will be eliminating y

83x-20y=590..........(eq1)

60x+18y=816...........(eq2)

y will be eliminated by multiplying

(eq1) by 9

(eq2) by 10

which will give

747x-180y=5310.........(eq3)

600x-180y=8160.........(eq4)

see that y has the same value that is (-180y and +180y)

so to eliminate y completely you have to add eq1 and eq2 because if you don't add them together you wont eliminate y

747x-180y=5310

600x+180y=8160

1347x+0=13470

1347x=13470

x=13470/1347

x=10

Now to find y we use substitution method ie put x=10 in any of the equation above(eq1,eq2,eq3, eq4) you will get the same answer

eq1

83x-20y=590..... where (x=10)

83(10)-20y =590

830-20y=590

like terms

-20y=590-830

-20y= -240

divide both sides with -20

y= -240/-20

y=12

eq2

60x+18y=816..... where x=10

60(10)+18y=816

600+18y=816

like term

18y=816-600

18y=216

y=216/18

y= 12

or eq3 or eq4 you will still get the same answer......

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3 years ago