HELP

Convert log xy = 1/2 to exponential form

a. x^y=1/2

b. y^x=1/2

c. square root of x=y

d. square root of y=x

Step-by-step explanation:

You can take the numerator as one factor and 1/denominator as another.

Just an example:

Let a = 1, then the following product will give what we have

Answer:

[tex]x\geq 3[/tex]

Step-by-step explanation:

[tex] \green{\large\underline{\sf{Solution-}}}[/tex]

Given expression is

[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]

can be rewritten as

[tex]\rm \:  =  \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]

We know,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]

And

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]

So, using this identity, we

[tex]\rm \:  =  \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]

can be further rewritten as

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{25 - 1} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{24} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{6} [/tex]

Hence,

[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]

Answer:

[tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

just put the number on top and what divides it on the bottom

Answer:

pic is answer

Step-by-step explanation:

Answer:

21,678 rounded to the nearest ten is 21,680

x+50+70+4x=180

combine like terms

50+70=120

subtract 120 by both sides

x+4x=60

combine like terms

5x=60

divide by 5

x=12

4x12=48

B=48

12+50=62

48+62=110

110+70=180

x=12

A=62

B=48

Answer:

8,600

Step-by-step explanation:

43 tens is basically 43 x 10

2 tens is 2 x 10

multiply that to get 8600

Hope it helps! :D

Answer:

1. 12x - 6

2. -2x + 17

Step-by-step explanation:

1.

2.

Answer:

[tex]\boxed{\sf 12x-6}[/tex]

[tex]\boxed{\sf -2x+17}[/tex]

Step-by-step explanation:

[tex]\sf 1)\: 8x - 2(3 - 2x)[/tex]

Apply Distributive Property to multiply -2 by (3-2x):

→ [tex]\sf 8x-6+4x[/tex]

Combine like terms:

→ [tex]\sf (8x+4x)[/tex]

[tex]\boxed{\sf 12x-6}[/tex]

______________________________

[tex]\sf 2)\: 4x + 5-3(2x - 4)[/tex]

Apply Distributive property:

Multiply -3 by (2x-4):

[tex]\sf 4x+5-6x+12[/tex]

Combine like terms:

→[tex]\sf (4x+(-6x))[/tex]

→ [tex]\sf (5+12)[/tex]

[tex]\boxed{\sf -2x+17}[/tex]

_____________________________

Answer:

hope you understand .............

Answer:

d. 4x+12

Step-by-step explanation:

distribute the 4

4*x =4x

4*3=12

therefore its

4x+12

Answer:

D

Step-by-step explanation:

4(x+3)

(4 times x) + (4 times 3)

4x + 12 = D

Answer:

Answer is C

The inequality is x

<−6 or x>2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

       | 2x + 4 |  > 8        

         Case I                                 Case II

       2x + 4 > 8                            -(2x +4) > 8

            -4      -4                           -2x - 4 >  8

        2x      > 4                                   +4    +4    

           x   > 4/2                           -2x  > 12

            x > 2                               -x > 12/2

                                                   -x > 6    

                                                    x <  - 6  Multiply by -1 will change the inequality sign.  

       x >  2  and x< - 6

       x > 2    open circle at 2 and shade to the right.

       x < -6    open circle at -6 and shade to the left

Answer:

y= -3/5x -3

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The calculations are easily done in a spreadsheet, starting with √A. The value of B is (√A +1)². The formatting of the root as a mixed number is done by converting the numerical values to text strings and joining them together with appropriate intervening characters.

Answering these in this way tends to reduce arithmetic and copying errors. (You may notice that B-A is always 1+2√A.)

Answer:

[tex]1\frac{11}{24}[/tex] cups more water than sugar

Step-by-step explanation:

Question: Jalil mixed 3/8 cup of sugar with 11/6 cups of water. How many more cups of water than sugar did he use in his mixture.

Answer:

Jalil mixed the number of cups of sugar =  [tex]\frac{3}{8}[/tex]

with the number of cups of water =  [tex]\frac{11}{6}[/tex]

We have to find the additional amount of water that is used in his mixture.

So we will subtract the amount of sugar from the amount of water.

[tex]\frac{11}{6}[/tex]- [tex]\frac{3}{8}[/tex]

= [tex]\frac{44-9}{24}[/tex]

= [tex]\frac{35}{24}[/tex]

=  [tex]1\frac{11}{24}[/tex] cups

[tex]1\frac{11}{24}[/tex] cups more water is used in this mixture.

Answer:

10+10+10

Step-by-step explanation:

Answer:

[tex]\boxed{\bf {{No\:Solution}}}[/tex]

Step-by-step explanation:

[tex]\bf 4(9x+6)=36x-7[/tex]

Expand: Apply Distributive proprty:

[tex]\bf 36x+24=36x-7[/tex]

[tex]\boxed {\bf \sf {Subtract\:}24\sf {\:from\:both\:sides}}[/tex]

[tex]\bf 36x+24-24=36x-7-24[/tex]

[tex]\bf 36x=36x-31[/tex]

[tex]\boxed {\sf {Subtract\:}36x\sf {\:from\:both\:sides}}[/tex]

[tex]\bf 36x-36x=36x-31-36x[/tex]

[tex]\bf 0=-31[/tex]

Because the sides are not equal there is no Solution

4.06 yard is the the radius of a circle to the nearest hundredth if its circumference is 25.5 yard

Answer:

C.

Step-by-step explanation:

\sqrt{35} = 5.916079783

Its the Closest one

Answer:

C is the correct answer

[tex] \sqrt{35 } = 5.91 \\ [/tex]

Answer:

the y intercept is 5 because the line passes through 5 on the y axis. Now to find the slope, pick two points where the line hits directly on the corner of the grid squares. pIck 2 of those and count the squares up till you are lined up with your other point then count over and get another number. Put the number going up over the number going down like x/y and you'll have your answer. ( simplify it if you can.(-2,3) and (0,5) are a good place to start. The answer should be 2/3. Hope this helped and God bless!

Answer: 83 meters

Step-by-step explanation:

The perimeter of a rectangle is 2l + 2w, where l is the length and w is the width.

2(96) + 2w = 358

192 + 2w = 358

2w = 166

w = 83

Hope it helps :) and let me know if you want me to elaborate.

Answer:

10+10=1010

Step-by-step explanation:

brainliest?

Answer:

20 lol

And hi!

man im sorry because its hard to explain

Answer:

g(1) = 2

Step-by-step explanation:

g(x)=−x+3

g(1)=

Let x = 1

g(1) = -1+3 = 2

Answer:

-13/5

Step-by-step explanation:

Answer:

35. Domain is -∞,∞ Range is y=0.

Step-by-step explanation:

No solution.