Part A: If (6^2)^x = 1, what is the value of x? Explain your answer.

Part B: If (6^0)^x = 1, what are the possible values of x? Explain your answer.

Answers

Answer 1

Step-by-step explanation:

A.

[tex](6^2)^x=1\\\\36^x=1\\\\36^x=36^0\Rightarrow x=0[/tex]

Every number to the power of 0 gives us 1

[tex]a^0=1\ \text{for}\ a\in\mathbb{R}[/tex]

B.

[tex](6^0)^x=1\\\\1^x=1\\\\x\in\mathbb{R}[/tex]

1 to the any power gives us 1.

[tex]1^n=1\ \text{for}\ n\in\mathbb{R}[/tex]


Related Questions

PLEASE HELP ASAP

Salina’s age is one-quarter the age of her aunt. If a represents her aunt’s age, which expression represents Salina’s age?
4a
a minus 4
a + 4
StartFraction a Over 4 EndFraction

Answers

Answer:

a over 4

Step-by-step explanation:

hope this helps you

Answer:

Last answer I think, it was hard to understand the explained choices but I think it's a/4.

Mason has already run 7 miles on his own, and he expects to run 1 mile during each track
practice. How many track practices would it take for Mason to run 26 miles?

Answers

Answer:

it would take him 19 track practices

Step-by-step explanation:

26miles - 7miles= 19miles

What is 8 x 1 + 9 x (1/10) + 6 x (1/100) + 2 x (1/1000)?

Answers

Answer:

8962

Step-by-step explanation:

8×1+9...etc..etc

= 8962

Answer:

8.962

Step-by-step explanation:

Can y’all help please I’ll mark Brainly for first responders

Answers

Answer:

1=$1

2=$2

3=$3

4=$4

Step-by-step explanation:

Gcf of 16abc^2, 28abc

Answers

Answer:

4abc..............................

what is the missing angle?

Answers

Answer:

the missing angle is 73

700 decreased by 62% is?

Answers

Answer:

The answer I got was 266

Step-by-step explanation:

700 - 62% = 266

62% = 434

700 - 434 (62%) = 266

Write an equation in slope-intercept form that goes through the points (4, 4) and (1, 2).

Answers

Step-by-step explanation:

Hey there!

The given points are; (4,4) and (1,2) as (x1,y1) and (x2,y2).

Note: Use double point formula for the equation.

Now;

[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]

Put all values.

[tex](y - 4) = \frac{2 - 4}{1 - 4} (x - 4)[/tex]

Simplify it.

[tex](y - 4) = \frac{ - 2}{ - 3} (x - 4)[/tex]

[tex](y - 4) = \frac{2}{3} (x - 4)[/tex]

[tex](y - 4) = \frac{2}{3} x - \frac{2}{3} \times 4[/tex]

[tex]y = \frac{2}{3}x - \frac{8}{3} + 4 [/tex]

[tex]y = \frac{2}{3} x - \frac{8 + 12}{3} [/tex]

[tex]y = \frac{2}{3} x + \frac{4}{3} [/tex]

Therefore, the equation is; y = 2/3x+4/3.

Hope it helps...

What is x on this right triangle? Round to the nearest tenth.

Answers

Answer:

x ≈ 38.7°

Step-by-step explanation:

Using the tangent ratio in the right triangle.

tanx = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{8}{10}[/tex] , thus

x = [tex]tan^{-1}[/tex] ([tex]\frac{8}{10}[/tex] ) ≈ 38.7° ( to the nearest tenth )

The freshman spirit club took a trip to the state fair .There were 59 students and 6 chaperones, and the total admission cost for the group was 508$.Student tickets cost 2$ more than the chaperone tickets.Write an equation to represent the cost of a student ticket

Answers

Answer:

Step-by-step explanation:

First you determine the variables x and y as:

x: the value for student tickets

y: the value for chaperone tickets.

Knowing that student tickets cost $ 2 more than companion tickets, it is represented by the equation:

x= y +2

On the other hand, there were 59 students and 6 companions. And the total cost of admission for the group was $ 508, that is to say that what all the students and the companions have paid adds up to $ 508. Expressed by an equation:

59x + 6y = 508

Then the system of equations to solve and thus obtain the price of a student ticket and the price of a companion ticket is:

[tex]\left \{ {{x=y+2} \atop {59x+6y=508}} \right.[/tex]

Solving for x, the price of a student ticket:

Rearranging  the first equation,

y = x - 2

Replacing in the second equation and solving for x:

59*x + 6*(x -2)=508

59*x + 6*x -12=508

65*x -12=508

65*x= 508 +12

65*x= 520

[tex]x=\frac{520}{65}[/tex]

x=8

The cost of a student ticket is 8$

5. A car travels at a speed of 72 miles per hour. Write a direct variation equation for the distance, y, the car will travel in x hours. How far will the car travels in 4.5 hours?​

Answers

Answer:

 y  = 72x

324miles

Step-by-step explanation:

Given parameters:

      Speed of the car = 72miles/hr

       distance  = y

        time  = xhrs

Unknown:

Write a direct variation equation for the distance=  ?

Distance covered in 4.5hrs =?

Solution:

A. Write a direct variation equation for the distance;

    A direct variation is a linear equation.

   It often takes the form y = kx

   

For this problem;

      Distance  = speed x time

input the parameters;

      y  = 72x

The direct variation equation is  y  = 72x

B. Distance traveled in 4.5hrs

   y  = 72x

  x is the time taken;

  So;

        y  = 72 x 4.5  = 324miles

The choir and band at Thomas Junior high's sold cookie dough for their fundraiser The choir sold the cookie dough for $2 per bucket and decided to spend $4 on material to make posters for advertising.the band sold the cookie dough for $3 per bucket but did not advertise for many bucket of cookie dough, x, would both clubs have the same profit?​

Answers

Answer:

no.

Step-by-step explanation:

I NEED HELP PLEASE!!!!!!!
1) How long is it from 9:15 am to 4:48 pm? h
2) Find the value of 4n if n=7
3) Solve the equation 3y=21
4) Change the index notation of a⁴ to its factors

Answers

1) 7 hours and 33 minutes
2) 28
3) y = 7
4) a times a times a times a

Simplify the expression.
(4a- 80 - 4a2) + (7a3 - 7 - 6a)

Answers

Answer:

the answer should be 7a^3-4a^2-2a-87

Jared earned $55 from cleaning pools. He deposits the $55 into his checking account.
Select each of the statements that would result in an overall change of $0 to his checking account if they are paired with the above
deposit.
Jared deposits $55 earned from babysitting
his brother into his checking account
Jared transfers $55 to his checking
account from his savings account.
Jared spends $55 from his checking account
to purchase a college Algebra textbook
Jared withdraws $55 from his checking account
Jared withdraws $55 from his savings account
Jared transfers $55 to his savings
account from his checking account
Reset
Submit

Answers

Answer:

Jared transfers $55 to his checking account from his savings account.

Jared spends $55 from his checking account to purchase a college Algebra textbook

Jared withdraws $55 from his checking account

Hope this helps!

Hopefully you can read it this time

The mass of a freight train is 9.98 ⋅ 10^6 kilograms. The mass of an aircraft carrier is 7.3 ⋅ 10^7 kilograms. Approximately how many more kilograms is the mass of an aircraft carrier than the mass of a freight train? Show your work and write your answer in scientific notation. (10 points)

Answers

9514 1404 393

Answer:

  6.302×10^7 kg

Step-by-step explanation:

Since we want to find the difference in mass, we need to have the same exponent on both numbers. For that purpose, it is convenient to change the representation of the train's mass to 0.998×10^7 kg.

The carrier has more mass by the amount of ...

  7.3×10^7 -0.998×10^7 = (7.300 -0.998)×10^7 = 6.302×10^7 . . . kg

_____

Your (scientific or graphing) calculator or a spreadsheet can figure this for you and give you the scientific notation display.

A store pays $98 for a winter coat and marks the price up 10%.What is the price?

Answers

Answer:

107.8

Step-by-step explanation:

convert 10% into decimal

1.1

then calculate

98 × 1.1

107.8

Hope this helps!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

$107.80

Step-by-step explanation:

10% of $98 is $9.80.

9.80 + 98 = 107.80

help me plaseeeeeeeeee

Answers

Answer:

it would be b

Step-by-step explanation:

which expressions are equivalent to 4b?
b+2(b+2b)
3b+b
2(2b)

Answers

3b+b and 2(2b) would be it

Answer:

3b+b and 2(2b)

Step-by-step explanation:

BRAINLIEST APPRECIATED!

THANKS!

If 3 (x + 2) – 2(x + 1) = 8
what is the value of x

Answers

Answer:

x=4

Step-by-step explanation:

x+4=8

x+4-4=8-4

x=4

3. A sari is sold for $60 thereby making a profit of 20% on the cost
price. What was the cost price?​

Answers

Answer:

The cost price was $48

Step-by-step explanation:

60-20%=48

hope it helps :)

Answer:

50

Step-by-step explanation:

60-x*100=20

6000-100x=20x

6000=20x+100x

6000= 120x

x= 6000/120

x= 50

999÷128= plz help mee

Answers

Answer:

The answer is (7.8046875)

Step-by-step explanation:

Hope this helped

I already know that the answer is 190 but why

Answers

Answer:

You know that the total number of persons is 20 , so every person shakes hands with 19 persons.. It then mean that, there are 20×19=380 handshakes. But by every handshake two persons are involved. Therefore, 380 is the result of double-counting, which gives 190 handshakes.

Step-by-step explanation:

Hope this helps

3/8 divided by 2/3 PLEASE PUT IN FRACTION FORM

Answers

Answer:

[tex]\frac{9}{16}[/tex]

Step-by-step explanation:

[tex]\frac{3}{8} / \frac{2}{3} = \frac{9}{16}[/tex]

(/ = dived by)

The division of 3/8 by 2/3 is 9/16.

What is Fraction?

Every fraction has a numerator and a denominator separated by a horizontal bar known as the fractional bar.

The denominator represents the number of components into which the whole has been subdivided. It is positioned below the fractional bar in the lower section of the fraction.The numerator specifies how many fractional parts are depicted or selected. It is positioned above the fractional bar in the upper section of the fraction.

We have to divide 3/8 by 2/3

So, 3/8 ÷ 2/3

As, instead of division we proceed with multiplication as

3/8 x 3/2

= 9/ 16

So, the required fraction is 9/16.

Learn more about Fraction here:

https://brainly.com/question/10354322

#SPJ2

Q is between P and R. S is between Q and R. R is between Q and T. PT=34, QR=8, and PQ=SQ=SR what is the length of RT.

Answers

Answer:

22

Step-by-step explanation:

Let us interpret this problem;

        ---------------34-------------------

       P         Q       S      R            T

                    ----- 8 --------

        --------  --------- --------

             x        x         x

Let PQ = SQ = SR

                 

Find RT;

    QS + SR = 8

    Also;

          x + x = 8

            2x = 8

              x = 4

To find RT;

    RT = PT - (PQ + QR)

   RT = 34 - (4 + 8) = 34 - 12 = 22

Answer:

22

Step-by-step explanation:

The value of -4 - x is positive. What must be true about x ?
i need help with this asap

Answers

Answer:

x must be less than -4

Step-by-step explanation:

We need to set the equation equal to 0

-4 - x > 0

+ -4   +   -4

x < - 4

Point Q' is the image of (-5,1) under a translation by 6 units to the right and 2 units down

Answers

Answer:

The object coordinate Q is (-11,3 )

Step-by-step explanation:

The translation is given as : ( 6,-2 )

The image coordinates for Q' is ( -5,1 )

So, to get the coordinates of object point Q (x,y), will be;

 Q (x,y)  + ( 6,-2 )---translation --------------⇒image Q' ( -5,1 )

Thus,

x+6 = -5

x= -5-6= -11

and

y+ -2 = 1

y-2=1

y=1+2 =3

Thus the object point coordinates Q is (-11,3 )

Patty ran 3 miles in 290 minutes,
Assume Patty maintains a constant
speed. How many minutes will it take
Patty to run 1 mile?

Answers

96.666..., or about 97 minutes/every mile.

6-(666+987889879878)

Answers

Answer:

−987889880538

Step-by-step explanation:

Answer:

-987889880538

Step-by-step explanation:

ez

To make lemonade, you need 6 lemons and 8 cups of water. How many lemons do you need if you had 24 cups of water?

Answers

Final Answer: 18 lemons

Explanation:

8 x 3 = 24

In order to find how many lemons you need, you need to multiply the amount of lemons by 3 as well.

6 x 3 = 18

Therefore, you need 18 lemons. :)

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