what is the solution of the exponential equation? use a graph. full calculations,[tex]27=3^{x-2}[/tex] please!!

Answers

Answer 1

Answer:

5

Step-by-step explanation:

if i really need to use a graph leave a comment

27=3ˣ⁻²

[tex]x=y^z\\=\\log_{y}x=z\\[/tex]

Which means that

[tex]27=3^{x-2}=\\log_327=x-2\\log_327=\frac{log27}{log3}=3\\3=x-2\\x=5[/tex]


Related Questions

Decide if the following statement is valid or invalid.

If it is sunny this week, then we will go to the park. We went to the park today, so it is sunny .

True or False

Answers

Answer:

the answer is false

Step-by-step explanation:

just cause it is

Tony has $300 in his bank account. He takes out $10 each week for "W" weeks. After "W" weeks he has "D" dollars left in his bank account. Write an equation that represents the amount of money left in his bank account after "W" weeks.

Answers

Answer:

The Equation :

D = 300 - 10W

Step-by-step explanation:

We are told in the above question that:

Tony has $300 in his bank account. He takes out $10 each week for "W" weeks.

Where W = number of weeks

Our Equation is written as

Total amount in the bank account - $10 × W

= $300 - $10 × W

The Equation is given as

D = 300 - 10W

I need help on these two questions please

Answers

Answer:

For #1=     D = 24.25     #2=       D= 21

Step-by-step explanation:

hope this helps. pls mrk me branliest :)

Answer:

1)24.25

2)21

Step-by-step explanation:

1) (a/4)^2=(20/4)^2=25

b/2/8=6/8=3/4

25-3/4

=100/4-3/4

=97/4

=24.25

2)2(x-y)^2=2(3)^2=18

x-y=3

=18+3

=21

Hope this helps!

If Area Sub made 36 sandwiches using 9 pounds of ham. How much ham was used per sandwich?

Answers

Answer:

4 pounds

Step-by-step explanation:

[tex]\frac{36}{9}[/tex] = 4

I would really appreciate it if you would please mark me brainliest! Have a blessed day!

Answer:

Step-by-step explanation:

Total number of sandwiches = 36

Total pounds of ham = 9 pounds

per pound = 36 ÷ 9 = 4 sandwiches

Ham per sandwich = 0.25 pounds

✓17 is a number between what?

Answers

Answer:

4.1 and 4.2

Step-by-step explanation:

or 4 and 5

A coin collection contains d dimes and q quarters worth a total of $50.

Which equation models this information?

d + q = 50

10d + 25q = 50

0.1d + 0.25q = 50

0.01d + 0.25q = 50

Answers

Answer:

0.1d + 0.25q = 50

Step-by-step explanation:

dimes are worth 10 cents so it's 0.1 and d represents the unknown amount

quarters are worth 25 cents so it's 0.25 and q represents the unknown amount

Expand: -1/3(-2x-21)

Answers

Answer:

Step-by-step explanation:

Simplifying

3(2x + -1) = 21

Reorder the terms:

3(-1 + 2x) = 21

(-1 * 3 + 2x * 3) = 21

(-3 + 6x) = 21

Solving

-3 + 6x = 21

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 3 + 6x = 21 + 3

Combine like terms: -3 + 3 = 0

0 + 6x = 21 + 3

6x = 21 + 3

Combine like terms: 21 + 3 = 24

6x = 24

Divide each side by '6'.

x = 4

Simplifying

x = 4

Answer:

2/3x + 7s

Step-by-step explanation:

-1/3 ( -2x - 21) = -1/3 * (-2x) - (-1/3) * 21 = 2/3x - (-7) = 2/3x + 7s

Shauna needs a new backpack. Tee one she wants cost $28 The store is having a 15% sale off backpacks this Friday What will the price of the backpack be?

Answers

Answer:it should be $23.80

Step-by-step explanation:28/100x85=23.80

lots of pointssssss :)


do each part pls (u will be reported if u do not thank)


(4,803) · 95

Noah has 4 bags of marbles with the same number in each bag.

If there are 536 marbles altogether, how many marbles are in each bag?

explain:

Answers

Answer:

134 in each bag

Step-by-step explanation:

536 divided by 4

Each bag has 134 marbles because 536 divided by 4 is 134.

Please explain how you got the answer. Don’t just tell me the answer

Answers

Answer: (4 3/5) x (3 1/2)

23/5  (3 1/2)

23/5 (7/2)

161/10 =

your answer is 16 1/10

Step By-step explanation:

Anyone wanna be mutuals?

I’m 14, female, listen to The Arctic Monkeys and Mother Mother, I love the outdoors and art. I am fascinated by criminology and death.

Lmk :)

Answers

Answer:

I'm a girl too but you seem pretty cool lol I'm sure someone will be interested :D And I wish you the best of luck

Step-by-step explanation:

Answer:

me too!! do u like chase atlantic

Step-by-step explanation:

I NEED HELP QUICK QUICK HELP (If you answer just for the point i will report you)

Answers

Answer:

1.Neither

2.Discrete

3.Discrete

4. Continuous

Step-by-step explanation:

Discrete Data can only take certain values. The number of students in a class

We can't have half a student!

1. The graph in option 1 is Neither.

2. The graph in option 2 is discrete.

3. The graph in option 3 is discrete.

4. The graph in option 4 is continuous.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. In discrete mathematics, and more specifically in graph theory.

A graph is a structure consisting of a set of objects, some of which are "related" in some way. The objects correspond to mathematical abstractions known as vertices, and each pair of related vertices is known as an edge.

1. The graph in option 1 is Neither. It is not discrete and continuous.

2. The graph in option 2 is discrete. The values of the data are not in a specific pattern.

3. The graph in option 3 is discrete. The values of the data are not in a specific pattern.

4. The graph in option 4 is continuous. The points in the graph are varying continuously.

To know more about the graph follow

https://brainly.com/question/19040584

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Select the correct answer.
Each statement describes a transformation of the graph of y= x. Which statement correctly describes the graph of y= x - 13?
OA. It is the graph of y = x translated 13 units to the left.
OB.
It is the graph of y = x translated 13 units to the right.
OC.
It is the graph of y = x translated 13 units up.
OD. It is the graph of y = x where the slope is decreased by 13.

Answers

Answer:

The translation corresponds to a translation of 13 units to the right

Step-by-step explanation:

Translation of a Graph

If the graph of

y=f(x) is translated a units horizontally, then the equation of the translated graph is

y =f(x - a)

The value of a is considered positive for translations to the right.

The parent function is

y = x

and the given function is

y = x - 13

The translation corresponds to a translation of 13 units to the right

What is the surface area of a cube that has a side length of 2.2 meters?

Use the formula S A = 6 s squared, where SA is the surface area of the cube and s is the length of each side.
13.2 Meters squared
26.4 Meters squared
29.04 Meters squared
174.24 Meters squared

Answers

Answer:

13.2 meters squared

Step-by-step explanation:

Got it right Edge 2021

Answer:

29.04 Meters squared

On Edge 2021

Step-by-step explanation:

Kira ,Charlie , and Miguel have a total of $105 in their wallets . Kira has $9 less than Miguel. Charlie has 4 times what Miguel has . How much does each have ?

Answers

Let the money with Miguel be x.

Then :

Money with Kira = x - 9

Money with Charlie = 4x

Total money in their wallet = $105

This can be written in an equation as :

[tex] = \tt \: x + x - 9 + 4x = 105[/tex]

[tex] = \tt2x + 4x - 9 = 105[/tex]

[tex] = \tt 6x - 9 = 105[/tex]

[tex] = \tt6x = 105 + 9[/tex]

[tex] = \tt6x = 114[/tex]

[tex] = \tt x = \frac{114}{6} [/tex]

[tex] = \tt x = 19[/tex]

Which means :

Money with Miguel = $19

Money with Kira :

= 19 - 9

Thus, Kira has $10 in her wallet.

Money with Charlie :

= 4 × 19

= 76

Thus, Charlie has $76 in his wallet.

Therefore, Money with Kira = $10Money with Charlie = $76Money with Miguel = $19

Answer:

Let the money with Miguel be x.

Then :

Money with Kira = x - 9

Money with Charlie = 4x

Total money in their wallet = $105

This can be written in an equation as :

= \tt \: x + x - 9 + 4x = 105=x+x−9+4x=105

= \tt2x + 4x - 9 = 105=2x+4x−9=105

= \tt 6x - 9 = 105=6x−9=105

= \tt6x = 105 + 9=6x=105+9

= \tt6x = 114=6x=114

= \tt x = \frac{114}{6}=x=

6

114

= \tt x = 19=x=19

Which means :

Money with Miguel = $19

Money with Kira :

= 19 - 9

Thus, Kira has $10 in her wallet.

Money with Charlie :

= 4 × 19

= 76

Thus, Charlie has $76 in his wallet.

Therefore,

Money with Kira = $10

Money with Charlie = $76

Money with Miguel = $19

helpppp plssss :))))))((((

Answers

Answer:

a= 80

b= .25

Step-by-step explanation:

We know that a has to equal 80 because

[tex]a(b)^0=80\\a=80[/tex]

We can then just solve for b

[tex]80(b)^1=20\\b=\frac{20}{80} \\b=.25[/tex]

please help me.........

Answers

Answer:

Option D

Step-by-step explanation:

From the spinner we see there are 5 colours in there.

These are;

Green, Yellow, Red, Purple, Blue.

This means that when it is spinned, there's possibility of getting only one colour per spin.

Since she tosses a coin as well for each spin, there's a possibility of getting either a tail or head per spin.

This means, all possible outcomes will be 5 × 2 = 10 outcomes.

With each colour possibly showing up with either tail or head.

Correct answer is Option D as it has 10 possible outcomes in the correct order.

-2y+6=-12
What does y equal?

Answers

Answer:

y = 9

Step-by-step explanation:

-2y+6=-12

subtract 6 on both sides: -2y=-18

divide both sides by -2: y=9

Answer:

[tex]y = 9[/tex]

Step-by-step explanation:

1) Subtract 6 from both sides.

[tex] - 2y = - 12 - 6[/tex]

2) Simplify -12-6 to -18.

[tex] - 2y = - 18[/tex]

3) Divide both sides by -2.

[tex]y = \frac{ - 18}{ - 2} [/tex]

4) Two negative makes a positive.

[tex]y = \frac{18}{2} [/tex]

5) Simplify 18/2 to 9.

[tex]y = 9[/tex]

So, Yherefor, the answer is, y = 9.

Stephanie and Jose both want to buy a skateboard. Stephanie has already saved $25 and plans to save $5 a week until she can buy the skateboard. Jose has $16 and plans to save $8 a week. How many weeks will it take for them to have the same amount of money and how much will they have?


(Also if u can pls type out ur answer like "10 weeks and $100" hehe)

Answers

Answer: 3 weeks and $40

Step-by-step explanation:

Let the number or weeks taken for them to have same amount be represented by x.

The information given in the question can be presented as an equation as:

Stephanie = 25 + 5x

Jose = 16 + 8x

We then equate them together

25 + 5x = 16 + 8x

25 - 16 = 8x - 5x

3x = 9

x = 9/3 = 3

The number of weeks is 3

The amount of money that they'll have will be:

= 25 + 5x

= 25 + 5(3)

= 25 + 15 = $40

I need help!!! I don’t know what to do

Answers

Answer:

5km

Step-by-step explanation:

1/2xbxh

1/2x 2x5= 5

Answer:

5 km.

Step-by-step explanation:

1/2 times base times height.

1/2 times 5 times 2

= 5

Graph the points:
(-1, -2); (0 -1), (1, 0)

• What is the fourth point?

HELP PLZZ I'm abouta fail this grade and I cant ​

Answers

Answer:

(2,1)

Step-by-step explanation:

bro if im wrong blame me-- but yeah

Pls help i need this quickly ill give brainliest
factor the following completely: x^3*y^2-x^2*y^3

Answers

Answer:

Step-by-step explanation:

x³y² = x * x * x * y * y

x²y³ = x * x     * y  *y * y

GCF = x * x * y * y = x²y²

x³y² - x²y³ = x²y² ( x - y)

What is the simplified expression of (2x -8) + (3x-2)

Answers

Answer:

5x-10

Step-by-step explanation:

Answer:

5x-10

Step-by-step explanation:

You can add the x together, 2+3 is 5 so we have 5x.

The you add the other numbers, -8+-2 is -10.

You then can put the addition in, and have 5x+-10. Since 10 is a negative, there's no need to put the addition sign, so 5x-10 would be the answer.

Answer right to get points

Answers

Answer:

C) -1 7/12

Step-by-step explanation:

-6 1/3 divided by 4=-19/12

reduce:

-1 7/12

3(2h+5)+5h ????????????

Answers

11h+15
multiply out brackets which would get 6h + 15 then add 5h

Answer:

11h + 15

Step-by-step explanation:

3(2h+5)+5h | Given

6h + 15 + 5h | Distribute

11h + 15 | Combine like-terms

I need help pls and thank you

Answers

The answer is 56 !
Your welcome :) !

3x-2y=12 and 3x+5y=33

Answers

Answer:

x=6, y=3. (6, 3).

Step-by-step explanation:

3x-2y=12

3x+5y=33

--------------

-3x+2y=-12

3x+5y=33

-------------------

7y=21

y=21/7=3

3x-2(3)=12

3x-6=12

3x=12+6

3x=18

x=18/3=6

Arnav was 1.5 m tall. In the last couple of years, his height has increased by 20% percent.
How tall is Arnav today?

Answers

Answer: Arnav is 1.8m

Step-by-step explanation: I multiplied 1.5 by 0.20 and then added that answer to 1.5 and then I got 1.8

:D

Answer:

1.5 x 2= 3m its really just that easy.... it took me a while to learn this trick but it works for most things.

Juan thinks that the graph of 6y + 12x = 4 is a line. a. Solve Juan’s equation for y.

Answers

The lines slope is negative 2 so it would be y=-2x+4/6

The equation of the line in the slope-intercept form will be y = 2/3 - 2x.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Juan thinks that the graph of 6y + 12x = 4 is a line.

Solve the equation of the line for y, then we have

6y + 12x = 4

6y = 4 - 12x

y = 4/6 - (12/6)x

y = 2/3 - 2x

The equation of the line in the slope-intercept form will be y = 2/3 - 2x.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

The senior class at Clearville ISD is having a fundraiser to raise money for their prom. They are seling coupon books in the local community. The number currently sold by each of the students was used to create the box plot shown below. HHH 8 10 12 14 16 18 20 22 24 26 28 30 32 If one of the students calculated the mean of the data to be 14.5, would this be an appropriate mean? OA. Yes, the mean is appropriate. OB. There is not enough information to determine if the mean is appropriate. O C. No, the mean should be lower. OD. No, the mean should be higher. Reset Submit​

Answers

Answer:

The answer is D

Step-by-step explanation:

If you add them all, and divide them it wouldn’t get 14.5

Answer:

No, the mean should be higher.

Step-by-step explanation:

Have a good day :)

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