(6^2)^x =1 I need to now ASAP

Answers

Answer 1

Answer:

x =0

Step-by-step explanation:

[tex]\left(6^2\right)^x=1\\\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc}\\\left(6^2\right)^x=6^{2x}\\\\6^{2x}=1\\\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)\\\ln \left(6^{2x}\right)=\ln \left(1\right)\\\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\ln \left(6^{2x}\right)=2x\ln \left(6\right)\\2x\ln \left(6\right)=\ln \left(1\right)\\[/tex]

[tex]\mathrm{Solve\:}\:2x\ln \left(6\right)=\ln \left(1\right):\\\quad x=0[/tex]


Related Questions

WHAT PROPERTY IS 12.2+18.6+-4.3+(18.6)

Answers

Answer:

it has to be 45.1.

Step-by-step explanation:

The reason why its 45.1 is because I added the equation all together including the negative number. I out that one in parentheses right next to the plus sign of 18.6. then added the last 2 numbers. and get 45.1. I'm not really good with stop by step explanations to be honest.

:(

Question DEF will be reflected across a line such that all of vertices of triangle D’E’F are in quadrant II. What line of reflection is used to form triangle D’E’F’?

The line of reflection is
A. y = 0
B. x = 0
C. y = x
D. y = -x

Answers

Answer:

i think the answer is b by far

Answer:B

Step-by-step explanation : DEF will be reflected across a line such that all of vertices of triangle D’E’F are in there own quadrant ways. The line of reflection is used to form triangle D’E’F’.

The line of reflection is  (B. x = 0 )

State whether the data described below are discrete or continuous, and explain why. The weights of dogs (in pounds) at a dog show
A. The data are discrete because the data can take on any value in an interval.
B. The data are discrete because the data can only take on specific values.
C. The data are continuous because the data can only take on specific values.
D. The data are continuous because the data can take on any value in an interval.

Answers

Answer: D. The data are continuous because the data can take on any value in an interval.

Step-by-step explanation: When distinguishing between quantitative variables, they could be classed as either discreet or continuous. This difference between a discreet and continuous variable lies in whether the variable has a finite number of values or not. When a variable can only take up a certain number of values usually while numbers within a certain interval, then such varibak eis said to be finite. On the other hand variables which can take up any value within an interval are said to be continuous as they can take up an uncountable number of values within an interval. When weight is being recorded, it could take up an infinite number of values including decimal within an interval making it difficult to ascertain the number of possible values within the interval.

Which equation shows a slope of -5 and a y-intercept of (0,1) ?

Answers

Answer:

y = -5x + 1

Step-by-step explanation:

Y= mx +b

m = slope

b = y-intercept

y =  -5x + 1

Answer:

y = -5x + 1

Step-by-step explanation:

Seeing the words "slope" and "y-intercept," I jump immediately to the slope-intercept form of the equation of a straight line:  y = mx + b.

Here we have m = -5 and b = 1:

y = -5x + 1

BD bisects ∠ABC. Find m∠ABD and m∠CBD.

Answers

Answer:

angle ABD=1/2 angle ABC ,Angle CBD =1/2 angleCBD

Step-by-step explanation:

The measure of angles ∠ABD= 67°, m∠CBD= 67° and m∠ABC= 134°.

We have,

BD bisects the angle ABC makes two  equal halves angle.

So, < ABD= < CBD.

and ∠ABD= (8x + 35)°

∠CBD= (11x + 23)°

Substituting the values of the angles

(8x + 35)° = (11x + 23)°

35-23 = 11x- 8x

3x= 12

x= 4.

Putting x=4 in (i) we have,

∠ABD= 8(4) + 35

∠ABD= 67°

As ∠ABD = ∠CBD,

∠CBD= 67°

Now, ∠ABC= ∠ABD + ∠CBD

∠ABC= 67° + 67°

∠ABC= 134°.

Hence, the measure of m∠ABD= 67°, m∠CBD= 67° and m∠ABC= 134°.

Learn more about Angular bisector here:

https://brainly.com/question/12896755

#SPJ7

Translate this phrase into an algebraic expression.
58 decreased by twice Chrissy's score
Use the variable c to represent Chrissy's score.

Answers

Answer:

2C - 58

Step-by-step explanation:

Chrissy = C

=> 2C - 58

I wrote 2C - 58 because 58 is decreased from 2 times C

=> 2 times C = 2C

=> 58 decreased = -58

=> 2C - 58

Write the decimal number as a binary number

26

Answers

Answer:

26 as a binary number is 11010

Write an equivalent expression by distributing the "-−" sign outside the parentheses:
-(4s+8.5)

Answers

Answer: -4s-8.5

Step-by-step explanation:

-(4s+8.5)

you need to change all the signs in the parentheses that is after a negative (-) sign.

-4s-8.5

since the signs of 4s and 8.5 are all positive (+), we need to change it to its opposite which is negative (-)

Hope this helps!! :)

Please let me know if you have any question

Find the maximum rate of change of f(x; y) = 4y p x at the point (4,1) and the direction in which it occur

Answers

Answer:

16p

Direction: positive/upward direction

Step-by-step explanation:

First, the function is f(x,y) = 4ypx

At the point where x=4 and y=1, the maximum rate of change of the function f(x,y) is

4(1)p(4) = 16p

The direction in which it occurs is the positive(upward) direction

Classify the groups below. Do they list repeating decimals, terminating decimals, or irrational numbers? 12,1/2, 34.2, and 4/5

Answers

Answer:

terminating decimals

Step-by-step explanation:

All of the fractions (4/5, 1/2) can go into 100 so they are all termination

and 34.2 is a terminating decimal.

12 is also terminating

There are n machines in a factory, each of them has defective rate of 0.01. Some maintainers are hired to help machines working. Using Poisson approximations to answer the following questions and explain why we can use Poisson approximation.
(a) If one maintainer is responsible for 20 machines, what’s the probability that machines go defective and cannot be repaired on time?
(b) If three maintainers are responsible for 80 machines, what’s the probability that machines go defective and cannot be repaired on time?
(c) Assume n=300, then at least how many maintainers are required such that the probability machines cannot be fixed on time is less than 0.01?

Answers

Answer:

a) 1 - ∑²⁰ˣ_k=0 ((e^-λ) × λ^k) / k!

b) 1 - ∑^(80x/d)_k=0 ((e^-λ) × λ^k) / k!

c) ∑²⁰ˣ_k=0 (3^k)/k! = 0.99e³

Step-by-step explanation:  

Given that;

if n ⇒ ∞

p ⇒ 0

⇒ np = Constant = λ,  we can apply poisson approximation

⇒ Here 'p' is small ( p=0.01)

⇒ if (n=large) we can approximate it as prior distribution

⇒ let the number of defective items be d

so p(d) = ((e^-λ) × λ) / d!

NOW

a)

Let there be x number of repairs, So they will repair 20x machines on time. So if the number of defective machine is greater than 20x they can not repair it on time.

λ[n0.01]

p[ d > 20x ] = 1 - [ d ≤ 20x ]

= 1 - ∑²⁰ˣ_k=0 ((e^-λ) × λ^k) / k!

b)

Similarly in this case if number of machines d > 80x/3;

Then it can not be repaired in time

p[ d > 80x/3 ]

1 - ∑^(80x/d)_k=0 ((e^-λ) × λ^k) / k!

c)

n = 300, lets do it for first case i.e;

p [ d > 20x } ≤ 0.01

1 - ∑²⁰ˣ_k=0 ((e^-λ) × λ^k) / k! = 0.01

⇒ ∑²⁰ˣ_k=0 ((e^-λ) × λ^k) / k! = 0.99

⇒ ∑²⁰ˣ_k=0 (λ^k)/k! = 0.99e^λ

∑²⁰ˣ_k=0 (3^k)/k! = 0.99e³

How many 4-letter permutations can be made from the letters in the word “MATH”?

Answers

Answer:

There are 24 different ways using the letters from "math" can be rearranged.

Hopefully this helps! :)

b) In a box of 10 oranges, 3 are bad. If two oranges are drawn at random one after the other
without replacement, find the probability that
(i)both are good
(ii)one is good and the other is bad

Answers

Answer:

Step-by-step explanation:

Let A,B, and C be the respective events that the first, second, and third drawn orange is good.

Therefore, probability that first drawn orange is good, P(A)=

15

12

The oranges are not replaced.

Therefore, probability of getting second orange good, P(B)=

14

11

Similarly, probability of getting third orange good, P(C)=

13

10

The box is approved for sale if all the three oranges are good.

Thus, probability of getting all the oranges good =

15

12

×

14

11

×

13

10

=

91

44

=0.48

Therefore, the probability that the box is approved for sale is 0.48

Answer:i

i) 7/15

ii) 7/15

Step-by-step explanation:

total: 10

good: 7

bad: 3

i) both are good

p(both good) = 7/10 * 6/9 = 42/90 = 7/15

ii) one good & one bad

p(first good & second bad) = 7/10 * 3/9 = 21/90 = 7/30

p(first bad & second good) = 3/10 * 7/9 = 21/90 = 7/30

p(one good & one bad) = 7/30 + 7/30 = 14/30 = 7/15

Can someone help me with this please anyoneeeeee

Answers

Answer:

michelle made more money

Step-by-step explanation:

Michelle made the most

Factor x2 - 8x + 15 Group of answer choices
( x - 3) ( x - 5)
( x + 3) ( x - 5)
( x + 3) ( x + 5)
( x - 2) ( x - 4)

Answers

Answer:

(x - 5)(x - 3)

Step-by-step explanation:

Step 1: Write out expression

x² - 8x + 15

Step 2: Factor

(x - 5)(x - 3)

3/5 is what percent less than 5/3?

Answers

It is 2% and a remainder of 2

A car traveled at a constant speed for 4 hours and covered 144.6 miles. It used 12 gallons of gas to travel this distance. How far did the car go in 1 hour? How far did the car travel on 1 gallon of gas? The car traveled miles in 1 hour. The car traveled miles on 1 gallon of gas.

Answers

Answer:

36.15 miles, 12.05 miles on one gallon

Step-by-step explanation:

4hours=144.6 miles

1 hour= x

Therefore it traveled 36.15 miles per hour.

12 gallon = 144.6 miles.

1 gallon = x

12.05 miles on one gallon

question what is 2√8+√8=

Answers

Answer:

6√2

Step-by-step explanation:

[tex]2\sqrt{8}+\sqrt{8}\\\\\mathrm{Add\:similar\:elements:}\:2\sqrt{8}+\sqrt{8}=3\sqrt{8}\\\sqrt{8}=2\sqrt{2}\\\\=3\times\:2\sqrt{2}\\\\=6\sqrt{2}[/tex]

What is a simplified expression for the perimeter
of the polygon?
✓ 5x2 + 2y2 + 12x + 5y
If x = 3 cm and y = 2 cm, what is the perimeter of
the polygon?

Answers

Answer: 99cm

Explanation:

5x^2 + 2y^2 + 12x + 5y
= 5(3)^2 + 2(2)^2 + 12(3) + 5(2)
= 5(9) + 2(4) + 36 + 10
= 45 + 8 + 46
= 99cm

The label on William's muffin said that one serving provided 11 grams of protein, which is 22% of the recommended daily
amount. What is the total recommended daily amount of protein?

Answers

Answer: 50 grams

Step-by-step explanation:

11=0.22 a

A =50

How do I solve for (2√5−√3)^2?

Answers

Answer:

[tex]23-4\sqrt{15}[/tex]

Step-by-step explanation:

So we want to simplify:

[tex](2\sqrt5-\sqrt3)^2[/tex]

Note that this is in the format:

[tex](a-b)^2[/tex]

And we know that this is the same as:

[tex](a-b)^2=a^2-2ab+b^2[/tex]

Let 2√5 be a and let √3 be b. Thus:

[tex](2\sqrt5-\sqrt3)^2\\=(2\sqrt5)^2-2(2\sqrt5)(\sqrt3)+(\sqrt3)^2[/tex]

Simplify:

[tex]=(4(5))-4(\sqrt5)(\sqrt3)+(3)\\=20-4\sqrt{15}+3\\=23-4\sqrt{15}[/tex]

And this cannot be simplified any further.

The answer is 23-4√15

Pls help fast What is this number's most specific set name √144 A. Natural B. Whole C. Integer D. Rational E. Irrational

Answers

Answer:

C. Integer

Step-by-step explanation: Since the square root of 144 could either be -12 or 12, so it is an integer.

Geometry pls helppp!

Answers

A would become (8,6)
B would become (8,0)
C would become (2,0)

Use the information to answer the question.
A store sells paint sets. Each paint set costs the same amount. During a sale, the store reduces the price of each paint set by $1.50. Logan spends
$13.47 on 3 paint sets at the sale price.
What was the price of 1 paint set before the sale? Enter the answer in the box.

Answers

you take $13.47 and divide it by 3 . you then get $4.49 . you take $4.49 and add $1.50 to it and you get your answer which is $5.99 .

Grace had $51 when she browsed an on-line store, which sells a pair of green earrings for $9.00 each plus a one-time $6.00 shipping charge. How many pairs of green earrings did Grace purchase? Solve the equation for the situation.

Answers

Answer:

5 Green earrings

Step-by-step explanation:

Given that:

Total amount held = $51

Cost per pair of green earrings = $9

One time shipping fee = $6

How many pairs of green earrings did grace purchase?

Let the number of green earrings purchased = g

Then,

$9*g + $6 = $51

$9g + $6 = $51

$9g = $51 - $6

$9g = $45

g = $45 / $9

g = 5

Hence, the number of green earrings purchased = 5

help please and no troll answers for i will report it i also need the explanation to how u get to the answer please, thank you !!

Answers

Answer:

  the marked choice is correct

Step-by-step explanation:

It usually works well to follow directions: use technology. The attachment shows the use of the technology I like for short regression problems. For longer problems, a spreadsheet program is a good choice.

_____

In this problem, it is easy to eliminate the nonsensical answers, so no real use of technology is necessary.

First of all, the y-value for x=0 needs to be near 48, eliminating the last two choices.

Second, the minimum of the function corresponds to a positive x-value, so the coefficient of the x-term must have opposite sign from the coefficient of the x^2 term. This eliminates the second choice, leaving the marked choice as the only viable one.

The sum of two numbers is 48. Their difference is 38. Find the numbers.

Answers

Answer:

43 and 5

Step-by-step explanation:

Let's let the two unknown numbers be a and b.

Their sum is 48, therefore:

[tex]a+b=48[/tex]

And their difference is 38. In other words:

[tex]a-b=38[/tex]

We now have a system of equations. To solve, we can use substitution. First, add b to both sides in the second equation:

[tex]a=38+b[/tex]

Substitute this into the first equation:

[tex](38+b)+b=48[/tex]

Combine like terms:

[tex]2b+38=48[/tex]

Subtract 38 from both sides:

[tex]2b=10[/tex]

Divide both sides by 2:

[tex]b=5[/tex]

So, one of the numbers is 5.

The sum of them is 48. Therefore, the other number is 48-5 or 43.

So, our two numbers are 43 and 5.

And we're done!

Answer:

5 and 43

I hope this helps!

Write an expression to represent the area of the following figure.
X - 12
х
Your answer:
4x - 48
4x - 24
x² - 12

Answers

Answer:

[tex] x^2 - 12x [/tex]

Step-by-step explanation:

The given rectangle had a length (l) of (x - 12), and a width (w) of x.

Area of rectangle = [tex] l * w [/tex]

Therefore, the expression representing the are if the given rectangle is:

[tex] Area_{rectangle} = (x - 12)*x [/tex]

[tex] Area_{rectangle} = x*x - 12*x [/tex]

[tex] Area_{rectangle} = x^2 - 12x [/tex]

The expression for the area = [tex] x^2 - 12x [/tex]

) Professor Jin wants to travel from place A to place B without a map. There are four ways lead away from place A. If road I is selected, the probability of arriving place B is 1/8; if road II is selected, the probability of arriving place B is 1/6; if road III is selected, the probability of arriving place B is 1/4; and if road IV is selected,the probability of arriving place B is 9/10. (a) What is the probability that professor will arrive at place B

Answers

Complete Question

Professor Jin wants to travel from place A to place B without a map. There are four ways lead away from place A. If road I is selected, the probability of arriving place B is 1/8; if road II is selected, the probability of arriving place B is 1/6; if road III is selected, the probability of arriving place B is 1/4; and if road IV is selected,the probability of arriving place B is 9/10.

(a) What is the probability that professor will arrive at place B?

(b) If Professor Jin arrives at place B, what is the probability that she chooses road IV?

Answer:

a

  [tex]P(B) = 0.36[/tex]

b

  [tex]P(4 /B) = 0.62[/tex]

Step-by-step explanation:

From the question we are told that

  The number of ways from A to B is  n =  4

   The  probability if road 1 is selected is  [tex]P(1) = \frac{1}{8}[/tex]

   The  probability if road 2 is selected is  [tex]P(2) = \frac{1}{6}[/tex]

    The  probability if road 3 is selected is [tex]P(3) = \frac{1}{4}[/tex]

    he  probability if road 4 is selected is [tex]P(4) = \frac{9}{10}[/tex]

The probability that professor will arrive at place B is mathematically represented as

      [tex]P(B) = \frac{1}{n} * P(1) + \frac{1}{n} * P(2) + \frac{1}{n} * P(3)+ \frac{1}{n} * P(4)[/tex]

      [tex]P(B) = \frac{1}{4} * \frac{1}{8} + \frac{1}{4} * \frac{1}{6} + \frac{1}{4} * \frac{1}{4} + \frac{1}{4} * \frac{9}{10}[/tex]

      [tex]P(B) = 0.36[/tex]

If Professor Jin arrives at place B, what is the probability that she chooses road IV is mathematically represented as

      [tex]P(4 /B) = \frac{ \frac{1}{n} * P(4)}{P(B)}[/tex]

=>     [tex]P(4 /B) = \frac{ \frac{1}{4} * \frac{9}{10} }{0.36}[/tex]

=>      [tex]P(4 /B) = 0.62[/tex]

Kelsey is going to graph the ordered pairs that are represented by this table on a coordinate plane. x –6 –4 3 5 y –4 –6 –6 0 How many points should appear in Kelsey’s graph? 3 4 6 7

Answers

Answer:

The answer is B, don't listen to the dude that said is A... A is wrong

Step-by-step explanation:

De nada :)

There are 4 coordinates which means we can make 4 points on the graph.

4 points is the correct answer.

Given,

Kelsey is going to graph the ordered pairs that are represented by this table on a coordinate plane.

______________

|x| – 6 | –4   |  3  | 5|

|y| –4  | –6   | –6 | 0|

We need to find how many points should appear in Kelsey’s graph.

What are coordinates in a coordinate plane?

Coordinates are the points in a given plane.

The plane can be a two-dimensional plane or a three-dimensional plane.

In a two-dimensional plane the coordinates are represented as:

(x, y).

In a three-dimensional plane the coordinates are represented as:

(x, y, z).

Find the coordinates from the given table.

We have,

There are four x values and four y values.

So,

(x, y) = { (-6, -4), (-4, -6), (3, -6), (5, 0) }

We see that we can make 4 coordinates in the coordinate plane.

Thus there are 4 coordinates which means we can make 4 points on the graph.

Learn more about matching the coordinates with the points on the coordinate plane here:

#SPJ2

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