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3 years ago

Simplify (5n^4)^−3. Assume n ≠ 0.

1 answer:

6 0

Since the exponent (-3) is negative, flip the expression to: 1/(5n^4)^3.

Notice how the negative exponent becomes positive as you flip it.

Now evaluate the powers in the denominator: 1/((5^3)(n^4)^3

I separated the constant (5) from the variable (n) to show you how the powers are evaluated.

1/(5x5x5)(nxnxnxn)(nxnxnxn)(nxnxnxn)
—-> the power four means that there are 4 multiples of n in the parentheses. The power 3 corresponds to how many groups.

1/(125)(n^12)

= 1/125n^12

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What is the solution to 2x-5 <12

bija089 [108]

Answer:

x < 10

Step-by-step explanation:

2x-8 <12

Add 8 to each side

2x-8+8 <12+8

2x< 20

Divide by 2

2x/2 < 20/2

x < 10

7 0

2 years ago

Read 2 more answers

PLs help

Pavel [41]

A) The hypotenuse is the longest side of the triangle .In the figure EG is the hypotenuse.The given angle is <G=40 degrees.The side adjacent is FG= 10 units.

The question is asking us to find the trigonometry ratio which will help us find EG.We can use cos as cos is ratio of adjacent and hypotenuse.

$cos 40=\frac{10}{Hypotenuse EG.}$

B) Cos 40 =0.766.

Substituting tan40 value we have:

$0.766=\frac{10}{EG}$

EG=13.05.

C)Sum of angles in triangle is 180.

<E+<F+<G=180

<E+90+40=180

<E+130=180

<E=50 degrees.

D) $Tan 40=\frac{EF}{10}$

EF=8.39

E) Area of triangle EFG= $\frac{1}{2}x base x height.$

A rea of the triangle = $\frac{1}{2}x8.39x13.05$

Area= 54.75 square units.

5 0

3 years ago

A college library has five copies of a certain text on reserve. Three copies (1, 2, and 3) are first printings, and the remainin

dezoksy [38]

Answer:

S = { (4), (5), (1,4), (1,5), (2,4), (2,5), (3,4), (3,5), (1,2,3,4), (1,2,3,5), (2,1,3,4) (2,1,3,5), (3,1,2,4), (3,1,2,5) }

A ={(4), (5)}

Step-by-step explanation:

Given that:

Among the three copies, (1,2,3) are the first printings, and (4,5) are the second printings.

A student who examines these books in random order stops when a second printing has been selected.

Thus, we can compute the sample space associated with these experiments as:

S = { (4), (5), (1,4), (1,5), (2,4), (2,5), (3,4), (3,5), (1,2,3,4), (1,2,3,5), (2,1,3,4) (2,1,3,5), (3,1,2,4), (3,1,2,5) }

Suppose A represents the event that we must examine exactly one book.

Then the outcomes of A are:

A ={(4), (5)}

6 0

3 years ago

Pleeasee help this is khan academy :(

Dahasolnce [82]

Answer:

1/2

Step-by-step explanation:

hope this helps

6 0

2 years ago

Read 2 more answers

A number - _______ = previous number

leva [86]

Answer:

Step-by-step explanation:

When we substract 1 from any number then will get just previous number.

Example :

Let any number 17

17-1 =16

16 is the just previous number of 17

Therefore, A number -1 = previous number

Answer will be 1

6 0

2 years ago