What is the value of x?



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x =

Answer:

1. Skyler's processes are incorrect. She put (3^6)^x = 9, but when working with exponential problems, both sides have to have the same base. 3 does not equal nine, so you can automatically rule out her approach.

2. Robert's processes are correct. He set both bases equal to each other and then solved for the exponents.

3. Kaitlyn is also correct, she set the bases equal to 3 and solved for the exponents.

Step-by-step explanation:

When working with exponents, the goal is to get the bases equal to each other. In this case, you could have set it equal to 9 (which Robert did) or you could have set it equal to 3 (like Kaitlyn did). But you never want the bases to be conflicting, which is what Skyler did. Just by looking at the problem and using deductive reasoning, it is likely that Robert and Kaitlyn are both correct, since they have the same answers, although they used different methods, but it is still important to look at the steps.

Skyler's one mistake was setting 3 = 9, because that is impossible. If you plug in her answer of 3/2 into x, you get a ridiculous number of 19,683 = 9, which is not possibly true. For the others, when you plug in 1/3, you get 729^(1/3) = 9, so 9=9.

Hopefully this makes sense, if not, I can try to explain it better. Thanks much & have a wonderful day.

The explanation of whether Skyler, Robert or Kaitlyn were correct/wrong and the reason from their processes is that;

1) Skyler is wrong because she didn't make the bases of both sides to be equal before equating the exponents.

2) Robert is correct because he made the bases of both sides to be the same before equating the exponents.

3) Kaitlyn is correct because she made the bases of both sides to be the same before equating the exponents.

The problem skyler wants to solve is;

729^(x) = 9

The first step is to reduce 729 to the lowest base to get; [3^(6)]^(x) = 9

Next she did was to equate 6x to 9.

When working with equality of exponents both sides ought to have the same base and so she could have converted 9 to have same base of 3 as the left hand side after which she will equate the exponents.

So skyler is wrong.

We saw that skyler didn'take both bases equal to each other but now Robert has done the correct thing by having;

9^(3x) = 9¹

After which he equated the exponents to get;

3x = 1

x = 1/3

Thus; Robert is correct

Kaitlyn is also correct because she followed the same correct pattern of ensuring the bases are the same before equating their exponents.

Read more about laws of exponents at; https://brainly.com/question/11761858

Answer:

The answer is 20 watts

Step-by-step explanation:

power=joules/seconds

60/3=20

Answer:

[tex]Selling\ Price = 12b(1.55)[/tex]

Step-by-step explanation:

Given

[tex]Cost\ Price = \$12[/tex]

[tex]Selling\ Price = 55\%\ more[/tex]

Required

Write an expression for the selling price for b birdbaths

This selling price for 1 birdbath is calculated as:

[tex]Selling\ Price = Cost\ Price + 55\% * Cost\ Price[/tex]

Substitute 12 for Cost Price

[tex]Selling\ Price = 12 + 55\% * 12[/tex]

Factorize:

[tex]Selling\ Price = 12(1 + 55\%)[/tex]

Express percentage as decimal

[tex]Selling\ Price = 12(1 + 0.55)[/tex]

[tex]Selling\ Price = 12(1.55)[/tex]

For b birdbaths, the selling price is:

[tex]Selling\ Price = 12(1.55) * b[/tex]

[tex]Selling\ Price = 12b(1.55)[/tex]

The options are not clear; However [tex]12b(1.55)[/tex] answers the question.

Answer:

Option B.             The ratio of the number of students who passed the test to

the total number of students who took the test is 2/3

Step-by-step explanation:

Firstly, we have to find the total number of students who took the test, we can do that by adding the number of students who passed and the number of students who did not pass, so ...

32 + 16 = 48

Now we just write down the ratio between the number of students who passed the test and  the total number of students who took the test. So we get

32/48

Now we just simplify and get...

2/3

Answer:

A.) Joe's score beat Dena's score

Step-by-step explanation:

When you use negative numbers (Numbers that start with a negative sign (-)), the bigger the number after the negative, the smaller the number and also a negative number is always less than a positive number. This means that Joe's score beats Dena's score, because Joe's score is negative and Dena's score is positive, so Joe's score is lesser than Dena's score.

Answer:

$95.10

Step-by-step explanation:

well take 89.40 and multiply by 6.4%. then add.

89.40 x 6.4% is 5.7. we can make out 5.7 to be $5.70.

$89.40 + $5.70 is 95.1 or $95.10

Answer:

The y-intercept is -6 and the x-intercept is 5

Step-by-step explanation:

I posted a picture on how I got this

Hope this Helped

Answer:

Find attached file also

Step-by-step explanation:

6x - 5y = 30

y intercept,Put x = 0

6*0 - 5y = 30

-5y = 30

y = 30 /-5

y = -6

x intercept,Put y =0

6x - 5*0 =30

6x = 30

x = 30/6

x =5

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Answer:

I have never heard of it sorry

Answer:

i have

Step-by-step explanation:

Answer:

3 times of the normal amount

Step-by-step explanation:

i think

Answer:

Answer:

Step-by-step explanation:

─━─━─━─━─━─━─━─━─━─━─━─

Answer:

4200m

Step-by-step explanation:

200 times 18 is 3600

3600 plus 600 is 4200

Mark brainliest or I'll literally drink water

Answer:

slope is 4/3 y intercept is -3

Step-by-step explanation:

there is no calculations needed

Answer:

answer;

1/3+5/6+3/4+1/2 =29/12

Answer:

$92.5

Step-by-step explanation:

1,8500x.05=92.5

Answer:

1850 / 5% = 36000

Step-by-step explanation:

3)Domain [4 to infinity]

Range [0 to infinity]

4)Domain [ - 3 to 3]

Range [ - 2 to 4]

Answer:

The answer is 2.45

Step-by-step explanation:

I used this magic device called a calculator!

lol

Answer:

<M<CBD=M<CDB=34° BASE ANGLE OF ISOSCELES TRIANGLE

Answer:

(1,1)

Step-by-step explanation:

With the midpoint formula, we're basically finding the average of the two variables, x and y.

Formula: [tex](\frac{x_{1} + {x_2} }{2}, \frac{_{1} + {y_2} }{2} )[/tex]

[tex](\frac{{-1} + {3}}{2} , \frac{{-2} + {4}}{2} )[/tex]

[tex](\frac{2}{2}, \frac{2}{2})[/tex]

(1,1)

Answer:

The answer is r=20

Step-by-step explanation:

[tex] \frac{81}{45} = \frac{36}{r} \\ r = \frac{36 \times 45}{81} = 20[/tex]

Answer:

5 hours

Step-by-step explanation:

If he drove 360 miles in 6 hours, that means he drives 60 miles per hour.

300 divided by 60 is 5, so he will need to drive for 5 more hours

Answer:

5 hours

Step-by-step explanation:

Find his speed in miles per hour:

360/6

= 60

So, his speed is 60 mph

To find how many more hours he would have to drive another 300 miles, divide 300 by 60:

300/60

= 5

So, he would have to drive 5 hours

Answer:

I believe the answer is 0.07! I hope that helps

0.069 rounded off to the nearest hundredth is 0.69.

Answer:

The operation that reverses the effect of another operation. Example: Addition and subtraction are inverse operations. Start with 7, then add 3 we get 10, now subtract 3 and we get back to 7.

Step-by-step explanation:

Answer:

Inverse operations are opposite operations that undo each other. Addition and subtraction are inverse operations. Multiplication and division are inverse operations.

PLZ MARK AS BRAINLIEST

Answer:

2

Step-by-step explanation:

If there are 22 students and she has 24 pencils she would need to give each of them 1 pencil. 24-22= 2

The number of pencils will be left over after Mrs Blue has given each student the same number of pencils is 16 pencils.

Given that, Mrs Blue has eight packages of pencils that she wants to distribute evenly among her sixth grades students. There are 24 pencils in each package, and she has 22 students.

We need to find out how many pencils will be left over after Mrs Blue has given each student the same number of pencils.

The unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit. It is a method that we use for most of the calculations in math.

There are 24 pencils in each package and there are eight packages of pencils.

So, the total number of pencils=8×24=192

Now, she is distributing evenly among 22 students=192/22=8.72

Then, 8×22=176

Mrs Blue is distributing 8 pencils to each student.

Number of pencils left=192-176=16

Hence, the number of pencils will be left over after Mrs Blue has given each student the same number of pencils is 16 pencils.

To learn more about the unitary method visit:

https://brainly.com/question/22056199.

#SPJ2

Answer:

Nice pfp- Also, Elena would know because they have identical slopes and y intercepts, The Equation would give you 36x + 18 = 36 x +18, Basically they are corresponding lines.

hope that helped. :p

Answer:

a

Step-by-step explanation:

Answer:

it would be the 2nd option

{(2,1) (1, 0) (0,1)}

Step-by-step explanation: