(3^-2 × 4^-2)^-3 = 12^x
In the given expression find the value of x.​

Answers

Answer 1

Given that (3^-2×4^-2)^-3 = 12^x

⇛ [(3×4)^-2]^-3 = 12^x

Since a^m × b^m = (ab)^m

⇛(12^-2)^-3 = 12^x

⇛ 12^(-2×-3) = 12^x

Since (a^m)^n = a^mn

⇛ 12^6= 12^x

⇛6 = x

Since the bases are equal then exponents must be equal

Therefore,x = 6

Additional comment:-

If the bases are equal then exponents must be equal.

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Related Questions

Becky invests some money that she anticipates will average an annual return of 7%. About how many years will it take Becky’s money to double at this rate? Show your work using function notation.

Answers

The number of years it would take Becky to double the amount invested is 10 years.

The rule of 70 is a rule of thumb that is used to know the number of years it would take an investment to double at the interest rate. The formula entails dividing 70 by the interest rate.

Rule of 70 = 70 / interest rate

70 / 7 = 10 years

To learn more, please check: brainly.com/question/2262294

Answer:

About  14.3 years

Step-by-step explanation:

The function for this case would be:

f(x) = 7x, where f(x) is the average return of %, x - is the number of years

If we need the money to double, the return rate should be 100%:

7x = 100x = 100/7x = 14.3 years

find the nth term in the following sequesnce: 1, 3, 9, 27​

Answers

Answer:81

Step-by-step explanation: it is skip by 3x so 21 x3 = 81

:)

(03.01)
Is the following relation a function? (1 point)
O Yes
O No

Answers

Answer:

No

Step-by-step explanation:

That is not a function because it didn't pass the vertical line test

A fish swims 4 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −34 feet.

What is the position of the scuba diver relative to sea level?

Choose from the drop-down menu to correctly complete the statement.

The scuba diver is
Choose...
feet
Choose...
sea level.

Answers

Answer:

The Scuba diver is 21 feet below sea level

Step-by-step explanation:

I took the test and it was this

The position of the scuba diver relative to sea level is 17 feet below surface.

What is an equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =

Given that, A fish swims 4 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −34 feet.

Let the position of the fish is at x feet from surface of the ocean

Therefore, the position of scuba diver = x-4

Since, the fish dives double its depth, therefore, new position of diver = 2(x-4)

According to question,

2(x-4) = -34

2x-8 = -34

2x = -26

x = -13

Therefore, the position of the diver = -13-4 = -17

Hence, the position of the scuba diver relative to sea level is 17 feet below surface.

For more references on equations, click;

https://brainly.com/question/29657983

#SPJ2

Write 0.012 as a fraction in simplest form.

Answers

Answer:

3/25

Step-by-step explanation:

Remove The decimal,

= > 0.012 = 12/100

= > 3/25...ans

Hope it Helps you!!

In the adjoining figure, AB = DC, ∠BAC = ∠BDC = 90ᵒ, Which of the following
statement is true?

Answers

Answer:

i

Step-by-step explanation:

We have to match the corresponding angles and sides of the 2 triangles.

∡ A corresponds to ∡ D

∡ B corresponds to ∡ C

∡ C corresponds to ∡ B

i)   Δ B  A  C ≅

      ⇵ ⇵ ⇵

    Δ C  D  B

List the multiples of 6 between 6 and 54
in order from least to greatest.
Multiples of 6: 6.
?
.24.
?
?
42,
?
54

Answers

Answer:

12, 30, 36, 48

Step-by-step explanation:

1 Six rain gauges are spread throughout a city. The mean height of water in these gauges is 1.8 centimeters after a rainy day. Which statement must be true?
A All of the rain gauges would have 1.8 centimeters of water, if distributed evenly.
B At least one of the rain gauges has exactly 1.8 centimeters of water.
C All of the rain gauges have 1.8 centimeters of water.​

Answers

Answer:

I think it's B.

Step-by-step explanation:

:)

Elimination Method: 6x - 4y = -24 and 4x + 5y = -2

Answers

Answer:

[tex](-2;-6)[/tex]

Step-by-step explanation:

First of all, let's rewrite the first one after dividing both sides by 2.

[tex]\left \{ {{3x-2y=-12\atop {4x+5y=-2}} \right.[/tex]

Now, let's pick one you want to eliminate.

Eliminating x: Let's multiply the first one by 4, the second by 3, and subtract one from the other. Rest is simply solving an equation in one variable

[tex]4I-3II : 12x-8y-12x+15y = -48 - (-6)\\7y = -42 \rightarrow y= -6[/tex]

Eliminating y: Let's multiply the first by 5, the second by 2, and add them together. Rest is simply solving an equation in one variable

[tex]5I+2II: 15x -10y +8x +10y = -60 +4\\23x = -56 \rightarrow x=-2[/tex]

What is 45% written as a fraction in lowest terms?
Enter your answer by filling in the boxes.

Answers

Answer:

✓ 45% = 9/20

Step-by-step explanation:

What box?

Answer:

9/20.

Step-by-step explanation:

45/100

= 45/5 /  100/5

= 9/20.

please answer and show work ill give u 70 point

Answers

1.answer

15/8-5/8=10/8answer

2.

9/5-1/5=8/5answer

3.3/2-1/2=2/2answer

Answer:

first question= 7/8

second question= 8/5

third question= 1

fourth question=23/8

fifth question=9/8

final question= 1/3

Step-by-step explanation:

1) 15/8 - 5/8 = 7/8

since the denominator is the same, it will be easier

do 15-8

which is 7

so the final answer is 7/8

(Remember that you don't subtract the denominator)

2) 9/5 - 1/5 = 8/5

Using the same method as the first question, you should get 8/5

8/5 as a mixed fraction would be 1 3/5

3) 1 1/2 - 1/2= 1

1 1/2 into a mixed fraction = 3/2

3/2-1/2

=2/2, which is 1

4) 3 1/4 - 3/8=23/8

3 1/4 as a mixed fraction is 13/4

so the equation would be 13/4 - 3/8

however, the denominator is not the same

and the least common multiple is 8

so 13/4 = 26/8

26/8-3/8= 23/8

5) 5/4 - 1/8 = 9/8

5/4 doesn't have the same denominator as 1/8, so you change it into 10/8

10/8-1/8

9/8

6) final question :)

5/6 - 1/2= 1/3

1/2 = 3/6

5/6-3/6

=2/6

after simplifying= 1/3

Hope it helps and have a nice day!

Mark me as branliest pls

Is (1,0) (3,0), (1,1) (3,1) (1,3) a function

Answers

Answer:

yes

Step-by-step explanation:

Can somebody solve this question?

Answers

Answer:

3 is the answer because it's value only add by the 3

im not sure on how to do this If one angle of a triangle is 30° more than twice another angle, and the third angle is equal to the sum of the first two angles, find the measure of each angle.

Answers

Answer:

Step-by-step explanation: How do you find the 3rd angle of a triangle?

Image result for im not sure on how to do this If one angle of a triangle is 30° more than twice another angle, and the third angle is equal to the sum of the first two angles, find the measure of each angle.

The three angles of any triangle add up to 180 degrees. Since you know two angles (35 and 40), add them together, then subtract the total from 180 to determine the degree of the third angle.

kira's penny bank is 1/6 full. after she adds 200 pennies, it is 1/2 full. how many pennies can kiras bank hold?​

Answers

Let it be x

ATQ

[tex]\\ \sf\longmapsto \dfrac{x}{6}+200=\dfrac{x}{2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{x}{2}-\dfrac{x}{6}=200[/tex]

[tex]\\ \sf\longmapsto \dfrac{3x-x}{6}=200[/tex]

[tex]\\ \sf\longmapsto 2x=1200[/tex]

[tex]\\ \sf\longmapsto x=600[/tex]

HELPPP ASAP

A:60
B:75
C:10
D:30

Answers

Answer:

look at the photo...............

what am i suppost to do with the remainder when dividing fractions

Answers

Put it in your answer I think

11111111111111+646463476346546

Answers

Answer:

6.5757459e+14

Step-by-step explanation:

is your answer

Answer:

6.5757459e+14

Step-by-step explanation:

6.5757459e+14

Round your answer to the nearest tenth

Answers

Answer:

19.0

Step-by-step explanation:

19.0 is the correct answer.

Hello, hope you are having a nice day.

e=2.718281828...

e^7 means e times e times e times e times e times e times e.

The approximate answer is

1096.6

I hope it helps. Please mark brainliest!

~An emotional teen who helps others with joy

Good luck.

500 dollars divided by 3:7

Answers

Answer:

150:350

Step-by-step explanation:

3:7 = 3+7=10

500:10=50

3x50=150

7x50=350

150:350

Hope this helps :)

500 divided by 3 is equal to 166 with a remainder of 2: 500 / 3 = 166 R.

Simplify, write your answer as a power

Answers

Answer:

1. 5⁴

2. d¹⁰

3. w⁶

SOMEONE TELL ME WHAT THIS IS PLEASE ( much appreciated if you do help with this question )

Answers

Answer:

6x^8 y^5

Step-by-step explanation:

Sam put $500 into a savings
account with a simple interest
rate of 6%. He earned $120 of
interest. How long was his
money in the bank?
.Write your response!

Answers

The money was in the bank 4 years

Answer: 6 years

Step-by-step explanation:

Barbara plotted an elevation below sea level on a number line and labeled it A. She plotted Point B above 0, a distance that is exactly as far from 0 as Point A is. Explain what you know about Point B.

Answers

Answer:

B is twice as far away from point A as it is from point 0

I hope this helps.

The picture shows the $4.88 Josephine spent on a package of 4 pens.

Drag the money below to the box to show how much each pen cost.

Answers

Answer:

4 dollars 8 dimes 8 pennies

Step-by-step explanation:

Answer:

Each pen costs $1.22, which means that you would have to drag a $1 bill, 2 dimes, and 2 Penny's into the box.

look at screenshot answer question and i will mark you brainliest

Answers

Answer:

[tex]y= -3x+9[/tex]

Step-by-step explanation:

We can easily see from the graph that the equation intersecs the x-axis at p=3 and the y-axis at q=9. Now there is a trick to quickly write the equation in these situations, and it is

[tex]\frac xp + \frac yq = 1[/tex] where p and q are the length of the segments (with their sign!!) the line cuts from the origin.

At this point, it's just a matter of writing the equation in the wanted form:

[tex]\frac x3 + \frac y9 =1\\9\frac x3 + y = 9\\y= -3x+9[/tex]

Which is the equation you want.

If you prefer a more traditional approach, you can determine the slope right away by noticing that when the y coordinate moves from 9 to 0, ie it decreases by 9, the x coordinate goes from 0 to 3, and the slope is [tex]m= {\Delta y \over \Delta x} = {{-9}\over{3}} = -3[/tex]

12x+3=6 4x+1=2
what is happening in this step of the equation solving process?

Answers

Step-by-step explanation:

12x=6-3

12x=3

12x/12=3/12

x=1/4

4x+1=2

4x=2-1

4x=1

4x/4=14

x=1/4

I you have great day

does anyone like math in this world?

Answers

Answer:

i mean math is my second favorite subject

Step-by-step explanation:

to be honest i hate math it makes me cry when i have to do it

SOMEONE PLEASE HELP I will give you brainliest it’s due in 11:59 pm TODAY!! Please

Answers

shorter side: 130ft
longer side: 260ft
greatest possible area: 33800ft^2

basically get the equations for area and perimeter which will be

A: lw (length x width)
P: l + 2w

Substitute them into eachother and you get the equation:
-2w^2+520w = A

find the vertex of this parabola which will give you the greatest width which is 130m
Then u can find length and area from this width


A 150-pound person uses 4.8 calories per minute when walking at a speed of 4 mph. How long must a person walk at this speed to use at least 250
calories?

Answers

Answer:

52.083

Step-by-step explanation:

1 min = 4.8 calories

? min=250calories

at the age speed

250/4.8 calories

=52.083min

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