4.
12^2x-1 = (V 12)^x

4.12^2x-1 = (V 12)^x

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]12^{2x-1}=(\sqrt[4]{12})^{x}\\\\ 12^{2x-1}= (12^{\frac{1}{4}})^{x}\\\\12^{2x-1}=12^{\frac{1}{4}*x}\\[/tex]

Bases are same. So, compare the exponents.

[tex]2x - 1 =\dfrac{1}{4}x[/tex]

Multiply the entire equation by 4

4*(2x - 1) = x

8x - 4 = x

8x     = x + 4

8x -x  = 4

        7x = 4

         x = 4/7


Related Questions

I NEED HELP ASAP✎The base of a parallelogram is 8 units, and the height is 5 units. A segment divides the parallelogram into two identical trapezoids. The height of each trapezoid is 5 units. Find the area of the trapezoid described above.

Answers

20 sq.units

Step-by-step explanation:

The base of a parallelogram is 8 units, and the height is 5 units. A segment divides the parallelogram into two identical trapezoids. The height of each trapezoid is 5 units

To Find: Area of one of the trapezoid.

Solution: Consider the file attached with solution.

In Parallelogram ABCD,

therefore,area of parallelogram:

Segment EF divides parallelogram in two identical trapezoid AEFD and CFEB therefore,

also

now area of one of the trapezoid 

The area of trapezoid is 20 sq. units

pictures in order below

Ray has $30 saved and saves two dollars a week ago has $90 and spent four dollars a week when will they had the same amount of money saved

Answers

Answer:

10 weeks

Step-by-step explanation:

$30 + $2 x 10 = $50

$90 - $4 x 10 = $50

Someone simplify this for me please

Answers

Answer:

9(-a-1-c^2/9)

Step-by-step explanation:

Answer:

a = -c^2/9 -1

Alex buys 5 pounds of
fruit for $35. How much
does one pound of fruit
cost?

Answers

$7 per pound



$35 divided by 5 = $7


Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 510 miles driven on 20 gallons of gas. How far could you drive on 65 gallons of gas?

Answers

Answer: 600/20 = 30 miles/gallon 30mi/gal (75 gallons) = 2250 miles

Step-by-step explanation:

The solutions of the equation y? - 6x + 4 = 0 can be written as a+ Vb.
where a and b are prime numbers.
Solve x? - 6x + 4 = 0 to find the values of a and b.

Answers

Answer:

a = 3

b = 2

Step-by-step explanation:

(x - 3)² - 9 + 7 = 0

(x - 3)² - 2 = 0

x - 3 = ± √2

x = 3 ± √2

And they want the answer in the formula so a = 2 and b = 2

Fraction Help:

What is 2 7/12 as an improper fraction?

Answers

Answer:

31/12

Step-by-step explanation:

Answer:

31/12

Step-by-step explanation:

First,

Figure out what the whole number represents.

2 = 24

Next,

Add 24 + 7 (the numerator)

24 + 7 = 31

Finally,

31 is the new numerator for the improper fraction.

some player heights are normally distributed with a mean 5.0 feet and a standard deviation of 0.3 feet. Let X. equals the height of a randomly selected student from this set.


Find P(4.7≤x≤5.3)=??

Answers

Answer:

P(4.7≤x≤5.3)≈0.6827≈68.27%

Step-by-step explanation:

Notice that 4.7 is 1 standard deviation below the mean (μ) and 5.3 is 1 standard deviation above the mean. Thus, by the Empirical Rule, ±1σ represents about 68.27% of the data in a normal distribution, meaning that P(4.7≤x≤5.3)≈0.6827

BIG IDEAS MATH
#5
i
Find the value of x.
(x + 10)
640
The value of x is
Previous
1
2
3
4
6
7
8
9
10
Next

Answers

Answer:

106

Step-by-step explanation:

See attached

If Clare earns $75 the next week from delivering newspapers and deposits it in her account, what will her account balance be then?

Answers

Answer:

$25

Step-by-step explanation:

Because $75-$50=$25

Answer:

Step-by-step explanation:

Answer:

$25

Step-by-step explanation:

Because $75-$50=$25

PLEASE HELP WITH THIS PLEASE

Answers

(a² - 16)(a + 4) can also be shown as
(a - 4)(a + 4)(a + 4)
because (a² - b²) = (a - b)(a + b)
Knowing this, the answer would be C.

I really hope you are going to try and understand how to find the answer instead of just spamming questions to get the answer and not understanding

Cuantos yenes se pueden comprar con 200 pesos mx ? si los yenes cuestan 0.178 centavos ayuda rapido

Answers

Usando proporciones, hay que con 200 pesos mx se pueden comprar 0.0645 yenes.

¿Qué es una proporción?

Una proporción es una fracción de la cantidad total, y puede ser encontrada por intermedio de una regla de tres.

En este problema, hay que un yene cuesta $0.17, enquanto $1 = 3100 pesos. Por eso, cada yene es equivalente a 3100 pesos.

Por eso, la regla de tres es:

1 yene - 3100 pesos

x yenes - 200 pesos

Aplicando multiplicación cruzada:

[tex]3100x = 200[/tex]

[tex]x = \frac{200}{3100}[/tex]

[tex]x = 0.0645[/tex]

Con 200 pesos mx se pueden comprar 0.0645 yenes.

Puede-se aprender más a cerca de proporciones en brainly.com/question/26395519

What is the slope of the line that passes through the points (2, 1) and (8, 9)?

Answers

Answer:

4/3

Step-by-step explanation:

Slope m = (y2-y1)/(x2-x1)

m = (9 - 1)/(8 - 2) = 8/6 = 4/3

A bike with an original price of $90 is on sale for $72. What is the percent of the
discount?

Answers

Answer:

The discount is 20%

Step-by-step explanation:

90-72=18

18/90=0.2

0.2x100= 20

Answer:

Discount percent=20%

Step-by-step explanation:

[tex]Solution\\\\MP=$90\\\\SP=$72\\\\Discount .Amount=90-72=18\\\\Now,\\\\Discount.Percent=\frac{Discount}{MP} *100\\[/tex]

[tex]=\frac{18}{90}*100 \\\\=20[/tex]

If somebody offered to give me £20 if I give them £10, have I actually made a profit?

From my point of view, no as you're giving them £10 for £20 which basically gives the £20 a value of £10 which in no profit. However, I may just not be thinking about it right and if it is incorrect inform me.

I am only asking this as my family says you have gained £10.​

Answers

Answer:

Yes, you have made a profit.

Step-by-step explanation:

Basically, profit just means that you end up having more money than you started with.

Since you started with 10 and got a 20 in exchange for it, you now have 10 dollars more than you previously did, meaning you made a profit.

Find the length of the third side. If necessary, write in simplest radical form. 10 9

Answers

Answer:

3[tex]\sqrt{10}[/tex] = x

Step-by-step explanation:

This is a right triangle and in right triangles the sum of square length of two legs is equal to square length of hypotenuse.

Now let x represent the third side:

9^2 + 10^2 = x^2

81 + 100 = x^2

181 = x^2 find the root for both sides

3[tex]\sqrt{10}[/tex] = x

it is estimated that each party guest will eat 3/10 pounds of chocolate. How many guests can be served with 9 pounds of chocolate?

Answers

Answer:

30 guests

Step-by-step explanation:

9 ÷ 3/10

to evaluate this we need to multiply 9 by the reciprocal of 3/10, which is 10/3

9 × 10/3 = 90÷3 = 30

PQR will be reflected across the y-axis

what will be the coordinates of R’?

Help

Answers

Answer:

The coordinate of R' will be (3,7) when reflected across the y-axis.

Find the slope of the line passing through the points (4, 4) and (4, - 4) .

Answers

Answer:

Slope = undefined

Step-by-step explanation:

We know that:

Slope Formula = y₂ - y₁/x₂ - x₁

Solution:

y₂ - y₁/x₂ - x₁ = -4 - 4/4 - 4=> -8/0 = undefined

Since the slope of the line is un-defined, the line is vertical. Please look at my graph to understand better.

What is the area of a rectangle with a length of x^6 and x^3?

Answers

Answer:

x ^ 9

Step-by-step explanation:

length× breadth = x ^6 * x^3

= x ^ (6+3) = x ^ 9 unit^2

please help with this!!!

Answers

Answer:

  47.25 ft³

Step-by-step explanation:

The volume of the prism is given by the formula ...

  V = Bh . . . . . . . B is the area of the base, h is the height.

The height of the prism is given as 6 ft. The area of the base is the area of the triangular entrance. The formula for that area is ...

  A = 1/2bh . . . . . . b is the base, h is the height

Using the given values for the entrance base and height, we get ...

  A = 1/2(4.5 ft)(3.5 ft) = 7.875 ft²

Then the volume of the tent is ...

  V = (7.875 ft²)(6 ft) = 47.25 ft³

The tent volume is 47.25 cubic feet.

D
E
2
А
B
-8 -6
-4-2
2
4
B
A"
Mr. Paulsen challenges Olivia and Angelica to move figure ABCDE onto
figure A"B"C"D"E" using a series of two different transformations. They
Each come up with a different combination of steps

Answers

A & B - the 42 give you the answer so Paul sent the times to the other people thank you

Simplify each expression.
ab
Q=0,b=0
-222
4
0
55
6
6
57
00
8
Q
10
1
8 2.10

Answers

Step-by-step explanation:

remember that x^-n means 1/(x^n).

x^a × x^b = x^(a+b)

x^a / x^b = x^(a-b)

(x^a)^b = x^(a×b)

(x×y)^n = x^n × y^n

so,

a^2 / a^-2 = a^(2 - -2) = a^4

and

b^-3 / b^2 = b^(-3 - 2) = b^-5 = 1/(b^5)

that means we have then :

(a^4 × b^-5)^2 = (a^4)^2 × (b^-5)^2 = a^8 × b^-10 =

= a^8 / b^10 = a⁸/b¹⁰

what is the sum of the interior angles of the polgon

Answers

Step-by-step explanation:

all regular polygons have (n-2)*180 this formula can use here. n= no of sides

Answer:

M = (n-2)*180 degrees for polygons with n sides.

Step-by-step explanation:

As already noted, there is no description of the polygon in question.  However, the formula for the sum of the measure of the interior angles of a regular polygon is M = (n-2)•180 where n is the number of sides.  A triangle has 3 sides, so M = (3-2)*180 = 180 degrees.

A hexagon has 6 sides, so M = (6-2)*180 = 720.

combining like terms ,algebra

Answers

Step-by-step explanation:

5x + 2 + 3x = 8x + 2

3 + 17x + 8 = 17x + 11

19 + 6x + 2x = 8x + 19

14x + 7 + 4 = 14x + 11

9x - 3 - 7x + 4 = 2x + 1

12x + 3x - 6 - 7f = 15x - 7f - 6

14x + 7 - 3x = 11x + 7

13z + 6u + 8x + 19 - u = 13z + 5u + 8x + 19

3z + 6 + 4z + 9 + 8u = 7z + 8u + 15

2x + 8z + 13u + 6z + 4u = 2x + 14z + 17u

14y + 13x + 12y + 19x + 4 = 26y + 32x + 4

5x + 18 - 13y + 12x + 8y = 17x - 5y + 18

21v + 8 - 12v - 7 + 3t - t = 9v + 2t + 1

3t + v - t + 7v = 2t + 8v

-1 + 18x -3y + x + 9y = 19x + 6y - 1

4x + 5y + 5x + 10y = 9x + 15y

Answer:

LEFT SIDE:

1. 8x+2

2. 17x+11

3. 19+8x

4. 14x+11

5. 2x+1

6. 15x-6-7f

7. 11x+7

8. 13z+5u+8x+19

RIGHT SIDE:

1. 7z+15+8u

2. 2x+17u+14z

3. 32x+26y+4

4. 17x+18−5y

5. 9v+1+2t

6. 2t+8v

7. −1+19x+6y

8. 9x+15y

Step-by-step explanation:

Help, this is for a test !!!!!!!

Find the value of n.
n*1=5

Answers

Answer:

The answer is 5

Step-by-step explanation:

Given;n × 1 = 5To Find;The value of n

So,

n × 1 = 5

n = 5

Thus, The value of n is 5

-TheUnknownScientist 72

which of the following graphs represents the relationship in the diagram?

Answers

Answer:

hmmm wait if you search it there should be this link that says the answer trust me

Step-by-step explanation:

try it

What is the solution to the system of equations graphed below?

On a coordinate plane, a line goes through (negative 5, 1) and (0, 3) and another line goes through (negative 5, 1) and (negative 4, 0).
(–5, 1)
(1, –5)
(3, –4)
(–4, 3)

Answers

Answer:

the answer is A (-5,1)

Step-by-step explanation:

hope this helps

can someone help me pls

Answers

Answer:

Yes,No,Yes,No,No

Step-by-step explanation:

Simply divide for example 64 divided by 4.

What is one of the solutions to the following system of equations? y2 x2 = 53 y − x = 5 (−10, −5) (−7, −2) (7, 2) (5, 10).

Answers

The solution of the system of equation is (-7, -2).

Given

The system of the equations;

[tex]\rm y^2 + x^2 = 53 \\\\y -x = 5[/tex]

From equation 1

[tex]\rm y -x=5\\\\y = 5+x[/tex]

Substitute the value of y in equation 1

[tex]\rm y^2+x^2=53\\\\(5+x)^2+x^2=53\\\\25+x^2+10x+x^2=53\\\\2x^2+10x+25-53=0\\\\2 x^2 + 10x - 28 = 0 \\\\Divide \ by \ 2 \ both \ side \ the \ equation\\\\x^2 + 5x - 14 = 0\\\\x^2-7x+2x-14=0\\\\x(x-7) + 2(x-7) =0\\\\(x-7) \ (x+2)=0\\\\x-7=0 \ \ x = 7\\\\x +2 =0 \ \ x=-2[/tex]

The value of x= 2 is rejected because x = 2 not satisfy the equation.

Substitute 2 for the value of x in equation II

y − x = 5

y – 2 = 5

y = 5 +2

y = 7 (x =2, y =7) … Not included in the options

If x = -7

Substitute the value of x = -7 in the equation

[tex]\rm y -x=5\\\\y - (-7)=5\\\\y +7= 5\\\\y = 5-7\\\\y = -2[/tex]

Hence, the solution of the system of equation is (-7, -2).

To know more about System of Equation click the link given below.

https://brainly.com/question/1495351

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