Write 194.218 in expanded form

Which expression is equivalent to (2^3) ^5?<br> оооо

gregori [183]

Step-by-step explanation:

$\text{Use}\ (a^n)^m=a^{nm}\\\\(2^3)^5=2^{3\cdot5}=2^{15}$

6 0

2 years ago

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To win a state "A" lottery, one must correctly select 5 numbers from a collection of 50 numbers (1 through 50). The order in whi

love history [14]

The number of possibilities for the first one is 50 choose 5, and the number of possibilities for the second one is 60 choose 6. Since 50 choose 5 is 2118760 and 60 choose 6 is 50063860. There are less possible outcomes for state "A" and therefore you have a higher chance of winning.

3 0

3 years ago

2x − 5y = 16 <br>3x + 2y = 5 <br>can you also explain how you did it. Thanks :)

Reptile [31]

Answer:

x=3

y=-2

Step-by-step explanation:

2x - 5y = 16

3x + 2y = 5

Solve for x in the first equation.

2x - 5y = 16

2x = 16 + 5y

x = (16 + 5y)/2

x = 8 + 5/2y

Put x as 8 + 5/2y in the second equation and solve for y.

3(8+5/2y) + 2y = 5

24+15/2y + 2y = 5

24 + 19/2y = 5

19/2y = 5-24

19/2y = -19

y = -2

Put y as -2 in the first equation and solve for x.

2x - 5(-2) = 16

2x +10 = 16

2x = 16-10

2x = 6

x = 3

6 0

3 years ago

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Please someone help me...

laiz [17]

Step-by-step explanation:

First factor out the negative sign from the expression and reorder the terms

That's

$\frac{1}{ - (( \tan(2A) - \tan(6A) )} - \frac{1}{ \cot(6A) - \cot(2A) }$

<u>Using trigonometric </u><u>identities</u>

That's

<u>Rewrite the expression</u>

That's

$\frac{1}{ - (( \tan(2A) - \tan(6A) )} - \frac{1}{ \frac{1}{ \tan(6A) } } - \frac{1}{ \frac{1}{ \tan(2A) } }$

We have

<u>Rewrite the second fraction</u>

That's

Since they have the same denominator we can write the fraction as

$- \frac{1 + \tan(6A) \tan(2A) }{ \tan(2A) - \tan(6A) }$

Using the identity

<u>Rewrite the expression</u>

We have

<u>Using the trigonometric identity</u>

<u>Rewrite the expression</u>

That's

Which is

<u>Using the trigonometric identity</u>

Rewrite the expression

That's

<u>Simplify the expression using symmetry of trigonometric functions</u>

That's

<u>Remove the parenthesis </u>

We have the final answer as

As proven

Hope this helps you

6 0

3 years ago

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A negative exponent means repeated_________?

allsm [11]

negative exponent means how many times to divide by the number. Example: 8-1 = 1 ÷ 8 = 1/8 = 0.125. Or many divides: Example: 5-3 = 1 ÷ 5 ÷ 5 ÷ 5 = 0.008.

hope it helps

6 0

3 years ago