Find the value of A that makes the following equation true for all values of x. 2^x=A^(x/12)

Answers

Answer 1

Step-by-step explanation:

[tex]2 {}^{x} = a {}^{ \frac{x}{12} } [/tex]

[tex]2 {}^{x} = a {}^{ \frac{1}{12} \times x} [/tex]

[tex]2 = a {}^{ \frac{1}{12} } [/tex]

[tex] ln(2) = \frac{1}{12} \times ln(a) [/tex]

[tex]12 ln(2) = ln(a) [/tex]

[tex]e {}^{12 ln(2) } = e {}^{ ln(a) } [/tex]

[tex]2 {}^{12} = a[/tex]

Answer 2

Answer:

D) 2^12

Step-by-step explanation:

It’s correct on Khan academy


Related Questions

eight to the power of 2 plus three to the power of 2

Answers

Answer:  73

Step-by-step explanation:

8² = 64    3² = 9    64 +9 = 73

8 to the power of 2 means 8 × 8 that is 64

3 to the power of 2 means 3 × 3 that is 9

HELPPP FOR BRAINLEST!!!

Answers

Block Y has the smallest acceleration

B: block y has the smallest acceleration

Identify the exponent and the base in the expression 6^12

Answers

Given parameters:

   Expression;

                        6¹²

Identify the exponent and the base in the expression;

                         6¹²

An exponent is a power to which a number or variable is raised.

Generally, it signifies the number of times a number should be repeatedly multiplied.

The base is the number that is being multiplied.

So, in this problem, exponent is 12 and base is 6.

There are 3 circles and 12 squares. What is the simplest ratio of circles to squares?

Answers

Answer:

1:4

Step-by-step explanation:

3 goes to 12 four times

Krystal Ball's pulse rate is 30% higher than its normal rate of 70bpm. What is her pulse rate? After
lying down it decreased 20%. What is her heart rate now?

Answers

Answer:  

Starting bpm = 91

Resting bpm = 72.8

=========================================================

Explanation:

A 30% increase is represented by the multiplier 1.30 because

100% + 30% = 1.00 + 0.30 = 1.30

So Krystal's initial heart rate is 1.30*70 = 91 bpm.

If you wanted, you can think of it like this

30% of 70 = 0.30*70 = 21 is added onto the initial 70 bpm to get 70+21 = 91 bpm.

-----------

To decrease by 20%, we use the multiplier 0.80 since

100% - 20% = 1.00 - 0.20 = 0.80

Losing 20% of something means we keep the remaining 80%

So,

80% of 91 = 0.80*91 = 72.8 bpm.

-----------

Here's one way to find the final bpm in one single line

1.30*0.80*70 = 72.8

in which you could write it like this

(1 + 0.30)*(1 - 0.20)*(70) = 72.8

The second way may be a bit longer, but I find it's more descriptive to see where the percentage increases vs percentage decreases are.

Find the value of x. (8x-1)° (4x+7)°​

Answers

Answer:

X = -1/2 or X = 0.50

Step-by-step explanation:

8x - 1 + 4x + 7

    Combine like terms

12x + 6 = 0

     Isolate X

12x + 6 = 0

      - 6 = 0

12x = -6

12x/12 = -6/12

X = -1/2

Hope this helps :)

evaluate 7-(-19)-18+(-19)+18

Answers

Answer:

The answer is 7

Step-by-step explanation:

7-(-19)=26

26-18=8

8+(-19)=(-11)

-11+18=7

Which set of side lengths would create a unique triangle?
a. 4 cm, 8 cm, 4 cm
b. 12 in, 8 in, 15 in
c. 2 ft, 9 ft, 12 ft
d. All of the above

Answers

Answer:

the set of side length would be 4cm, 8cm,4cm

Terry calculates how much wood he needs to build the desk shown in the diagram . He says the area is 600ft2

What error did terry make

Find the correct area and explain your answer

Answers

the correct area is 3600ft2

Answer:

He forgot to multiply by 1/2 when finding the area of the above triangle.

Now we find the correct area;

A = BH x 1/2 (formula for finding area of triangle)

A = 10 x 24 x 1/2

A = 240 x 1/2

A = 240/2

A = 120

Now the rectangle's formula which is just (W x L) where "w" is the width and "l" is the length;

A = W x L

A = 24 x 15

A = 360

Now we add both the sums of the two areas:

120 + 360 = 480 square feet, the information provided here is your explanation.

write the equation of the line that passes through the point (0, 3) and is perpendicular.

please help me solve this :)

Answers

Answer:

y = 2x + 3

Step-by-step explanation:

to find the perpendicular line then you have to find the negative reciprocal which is 2 and to get that you flip the fraction and change the sign so

(-1/2) → 2/1 or 2

the y-intercept coordinate is (0, 3) so the y-intercept is 3

Slope of line in attachment=-1/2

Slope of the Perpendicular line=2

passes through (0,3)

Equation of line in point slope form

[tex]\\ \rm\Rrightarrow y-3=2x[/tex]

[tex]\\ \rm\Rrightarrow y=2x+3[/tex]

Which algebraic rule describes the reflection of quadrilateral HIJK to
quadrilateral HT'J'K?

Answers

Answer:

B

Step-by-step explanation:

under a reflection in the y- axis

a point (x, y ) → (- x, y )

H'I'J'K' is a reflection of HIJK in the y- axis , then algebraic rule is

(x, y ) → (- x, y )

Answer:

B

Step-by-step explanation:

A cellphone company charges a monthly fee of $34.00, plus $0.05 per text message. If you have at most $52 to spend, how many text messages can you send?

Answers

Answer:

360 text messages

Step-by-step explanation:

52 - 34 = 18

0.05 = 1 text message

0.05 * 360 = 18$

Hope this helps!

Answer:

52-34=18

18/0.05=360

360 text messages per month

Step-by-step explanation:

William writes a function
f(x)=−2x−10
. He uses an input-output table to represent the function.



What is the output of William’s function when the input is
−6?

Answers

Answer:

2

Step-by-step explanation:

f(-6) = -2(-6) - 10

f(-6) = 12 - 10

f(-6) = 2

The price of a sweater was reduced from $20 to $12. By what percentage was the price of the sweater reduced.

Answers

▪ Answer:

40%

▪ Step-by-step explanation:

Hi there !

$20 ........ 100%

$12 ..............x %

x = 12×100/20

= 1200/20

= 60%

100% - 60% = 40%

Good luck !

Mary sells fruit with four of her friends If the earnings are divided evenly how much must the business make in order for each person to earn 30?

Answers

In a case whereby Mary sells fruit with four of her friends If the earnings are divided evenly the amount they must  make in order for each person to earn 30 is 150.

How can the earningbe calculated?

Since 4 of them wereinto the business aimimg to share the profit in erqual amount then the  business should make [30*(1+4) ]= (30*5 )= 150 dollars total earnings.

Therefore, If the profits from selling fruit with Mary's four friends are divided equally, they will need to make 150 in order for each individual to make $30.

Learn more about selling at:

https://brainly.com/question/1153322

#SPJ1

Answer:

150

Step-by-step explanation:

You have to find the total number of fruits so multiply 30 by 4. However, Mary is included too so add another 30

For one particular homeroom, the typical ratio of students absent to students present is 1 : 14. One day, students from this same homeroom miss school to compete in a math competition. On that day, there are 22 students in class and the ratio of students absent to students present is 4 : 11. How many students are absent on a typical day for this homeroom?

Answers

Answer:

i THINK 43% but im not for sure

Step-by-step explanation:

14% of 50 is 7

so 50-7=43

43(percent there)+7(percent gone)=50 (number of students)

SO 43% is still there.

i hope this work for you

and SORRY if im wrong

If 596 people voted in the election, how many were over 65 years old?

Answers

596 x 25% = 149

This implies 149 persons over the age of 65 voted.

I hope this helps.

Answer:

596 x 25% =149

149 people voted over age 65

Is (2,-3) a solution to 3x + 7y = 14? Show work.

Answers

Answer:

its not a solution

Step-by-step explanation:

substitute  the points

3(-2) + 7(-3) = 14

-6 - 21 = 14?

-27 = 14 X

100000x444444444444444444

Answers

Answer: 4.4444???

Step-by-step explanation:

Answer: 2.65787 × 10²

plz mark brainliest:)

Melissa practiceted piano for 5/6 of an hour. On Monday and 8/9 of an hour on Tuesday. How many more minutes did she practice on Tuesday compared to monday

Answers

Answer:

24 hrs

Step-by-step explanation:

99594iu58

The number of minutes that she practiced on Tuesday compared to Monday will be 103 minutes.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Melissa practiced piano for 5/6 of an hour on Monday and 8/9 of an hour on Tuesday.

The number of minutes that she practiced on Tuesday compared to Monday will be

⇒ (5/6) + (8/9)

⇒ 31/18

⇒ 103 minutes

The number of minutes that she practiced on Tuesday compared to Monday will be 103 minutes.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

what are the answers to all of these

Answers

Answer/Step-by-step explanation:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[tex]\frac{1}{3}\times\frac{2}{4}[/tex]

[tex]\mathrm{Cancel\:the\:numbers:}\:\frac{2}{4}=\frac{1}{2}[/tex]

[tex]=\frac{1}{3}\cdot \frac{1}{2}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]

[tex]=\frac{1\cdot \:1}{3\cdot \:2}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:1\cdot \:1=1[/tex]

[tex]=\frac{1}{3\cdot \:2}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:3\cdot \:2=6[/tex]

[tex]=\frac{1}{6}[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[tex]\frac{1}{6}\times\frac{4}{9}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]

[tex]=\frac{1\cdot \:4}{6\cdot \:9}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:1\cdot \:4=4[/tex]

[tex]=\frac{4}{6\cdot \:9}[/tex]

[tex]\mathrm{Factor\:the\:number:\:}\:4=2\cdot \:2[/tex]

[tex]=\frac{2\cdot \:2}{6\cdot \:9}[/tex]

[tex]\mathrm{Factor\:the\:number:\:}\:6=2\cdot \:3[/tex]

[tex]=\frac{2\cdot \:2}{2\cdot \:3\cdot \:9}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:2[/tex]

[tex]=\frac{2}{3\cdot \:9}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:3\cdot \:9=27[/tex]

[tex]=\frac{2}{27}[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[tex]\frac{2}{3}\times\frac{7}{8}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]

[tex]=\frac{2\cdot \:7}{3\cdot \:8}[/tex]

[tex]\mathrm{Factor\:the\:number:\:}\:8=2\cdot \:4[/tex]

[tex]=\frac{2\cdot \:7}{3\cdot \:2\cdot \:4}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:2[/tex]

[tex]=\frac{7}{3\cdot \:4}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:3\cdot \:4=12[/tex]

[tex]=\frac{7}{12}[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[tex]\frac{2}4\times\frac{2}{5}[/tex]

[tex]\mathrm{Cancel\:the\:numbers:}\:\frac{2}{4}=\frac{1}{2}[/tex]

[tex]=\frac{1}{2}\cdot \frac{2}{5}[/tex]

[tex]\mathrm{Cross-cancel\:common\:factor:}\:2[/tex]

[tex]=\frac{1}5[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Code: 6 2 12 1

~Learn with Lenvy~

When solving an ______, use inverse operations to undo the operations.

Answers

Answer:

equation

Step-by-step explanation:

Inverse operations are used to solve simple algebraic equations to more difficult equations that involve exponents, logarithms, and trigonometry. Mathematically, inverse operations are opposite operations. Addition is the opposite of subtraction; division is the opposite of multiplication, and so on.

[RevyBreeze]

Answer:

equation

Step-by-step explanation:

To isolate the variable, we must reverse the operations acting on the variable. We do this by performing the inverse of each operation on both sides of the equation. Performing the same operation on both sides of an equation does not change the validity of the equation, or the value of the variable that satisfies it.

(1/2x +7)²
EXPAND IT PLEASE

Answers

Answer:

1/4x^2 + 7x + 49

Step-by-step explanation:

Use binomial theorem (a + b)^2 = a^2 + 2ab + b^2 to expand (1/2x + 7)^2

whats 4/9 divided by 3/7 equal

Answers

Answer:

1.03703703704

Step-by-step explanation:

i d k if this is what ur looking for but hope this helped :)

A plane intersects a prism to form a cross section that is a polygon with five sides. The minimum number of sides that the polygon at the base of the prism must have is?

Answers

Answer:

the base must have a minimum of 3 sides

Step-by-step explanation:

Answer:

It's 3

Step-by-step explanation:

333333333333333333333333333333333333333333333333333333333333333333333333333333

After a successful Friday night at the local BDubs, 92% of the daily allocated wings were sold to restaurant-goers. The kitchen staff was a bit upset because that meant there were only 96 wings left between them to take home at the end of night. How many wings did BDubs start off with that night?

Answers

Answer:

88

Step-by-step explanation:

92% = 0.92

0.92(96) = 88.32

88 is rounded to the nearest wing

please help me find mo

Answers

Answer:

  MO = 25

Step-by-step explanation:

Point O between parallel lines PQ and MN divides segment PM in the same proportion that it divides segment QN.

  MO/OP = NO/OQ

  MO/20 = 20/16 . . . . . . use the given numbers

  MO = 20(20/16) . . . . . multiply by 20

  MO = 25

If a ∥ b and m∠1 = 65°, what is m∠2?

Answers

Answer:

65 degrees

Step-by-step explanation:

the angles are corresponding, and corresponding angles always have the same angle measures

If a ∥ b and m∠1 = 65°, The measure of m∠2 will be 65°.

What is an angle?

When two lines or rays converge at the same point, the measurement between them is called an "Angle." when a transverse line crosses two straight lines, corresponding angles are formed.

When two lines are crossed by a third line, these angles are generated at equivalent corners or corners corresponding to the transversal.

It is given that,  a ∥ b and m∠1 = 65.

If the transversal meets two parallel lines, the corresponding angles theory asserts that the corresponding angles are congruent. In other words, the angles formed when a transversal crosses two parallel lines will always be equal.

Since corresponding angles always have the same angle measures, the angles are said to be corresponding.

As a result,

m∠1 =m∠2

m∠1 = 65°

m∠2=65°

Thus, if a ∥ b and m∠1 = 65°, The measure of m∠2 will be 65°.

Learn more about the angle here:

brainly.com/question/7116550

#SPJ2

what's the perimeter of this triangle​

Answers

Answer: 60

Step-by-step explanation: if you count the length and the width and multiply them you will get your answer, i did 15 (amount of units going down) and 8 (amount of unites going sideways) and multiplied them, 15 x 8 = 120 then half of that is 60

Analyze each situation. Identify a reasonable domain and range for each situation. Explain.
a. A bowler pays $2.75 per game.
b. A car travels 25 miles using 1 gallon of gas.

Answers

Answer: A The domain is all positive integers, because the bowler could not play a fractional or negative number of games.

The range is multiples of 2.75.

B  The domain is all positive real numbers, since a portion of a gallon of gas could be used.

The range is all positive real numbers.

Other Questions
Only daughter conflict essay A song has 12 beats every 5 seconds . How many beats are there in 30 seconds? Choose the correct word to complete each sentence.1-2. Los beisbolistas juegan con2. Los beisbolistas llevan unen la mano durante el juego.3. Los beisbolistas corren de unaa otra4. Juegan bsquetbol y tenis en una5. El baln entra eny el jugador encesta.tiene que pasar por encima de la6-7. En tenis, laShort Answer. Answer the questions in Spanish8. Quin batea?9. Con qu batea?10. Cuntas bases hay en el bisbol? What is an unusual feature that an exotic flora might have?A. Eats insectsB. Eats other plantsC. Eats animalsD. Drinks water Which is revealed by the dialogue in Paragraphs 18 through 23? A. Yura's reluctance to talk about personal matters with strangers B. the family's rise in social status and the resulting increase in prestige C. the questioners' avid curiosity to learn more about the family lineage D. Yura's developing understanding of his existence and place in the world can someone give me a few facts about acting? they can just be like basic interesting ones i just need like 4 or 5 A radio wave travels through space with a frequency of 2 x 104 Hz. If the speed of the radio wave is 3 x 108 m/s,what is the wavelength of this wave?O 6 x 10^12 mO 1 x 10^4 mO 6.7 x 10^-4 mO 1.5 x 10^4 m Someone pls help??????????????????????? Hii! please answer this and have a nice day. :)no bots please.unrelated answer = reportunrelated comment = reportits in the picture below. For what reasons did the US support Ngo Dinh Diem early on in Vietnam? Why did that change later? 1. Bien Educado 2 calmo 3 perezoso A block-spring system oscillates on a frictionless horizontal surface. The time needed for the block to complete one cycle is 0.1 sec. Determine the time needed for the block to travel from -A/2 to A/2, where A is the amplitude of motion change in to passive they are throwing some stones 1. Who symbolizes the United States? Describe his attitude.2. What does the bridge represent? What or who is missing? Why?3. What does the sign say?4. What is the artist saying about the League of Nations? One who is in disquise or using an assumed name ; disquised ; using a false name ; in disquise ; under a fictitious name What was the first independent agency Congress created? The genotype is the amount of each protein that is contained within a cell.the observable characteristics due to the genes that are present in the cell.the specific combination of genes contained within the cell.the combination of a cell's environment and experiences. PLEASE HELP I WILL MARK YOU BRAINLIEST, STORY IS THE SUN DOES NOT SHINE Playing cards numbered from 1 to 20 are mixed thoroughly and kept it in a box. One card is taken at random from the box. What is the probability of the selected/drawn playing cards?1. Is a Prime number.2. A factor of 20.3. A composite number.4. A multiple of 3.5. A perfect square. What did the author mean by this quote? Giving brainliest!