What logarithmic function represents the data in the table?


x f(x)
216 3
1296 4
7776 5

Answers

Answer 1

Answer:

Step-by-step explanation:

216 =6^3

1,296 = 6^4

7,776 = 6^5

x = 6^f(x)

log x = log 6^f(x) = f(x)log 6

f(x) = log x / log 6 =


Related Questions

eight years ago mario was 25% younger than he is now how old is mario now

Answers

Answer:

32.

Step-by-step explanation:

32
this is because 25% equals 1/4 so 8 times 4 is 32

How many fourth-fifths are in eight

Answers

Answer:

10

Step-by-step explanation:

8 ÷ 4/5 = 10

I hope this helps!!

Lena is converting StartFraction 2 Over 25 EndFraction to a percent. What should she multiply the numerator and denominator of the fraction by to find the percent?
4
8
50
100

Answers

Answer:

4 if im right:)

Step-by-step explanation:

Answer:

A percent is a number out of 100, so you'd want to multiply the denominator to get 100. In this case, 25 would have to be multiplied by 4 to get 100. To keep the fractions equal to each other, you have to multiply the numerator by the same thing. 2*4=8. Therefore, your fraction would be 8/100 or 8%

Right Triangle ABC has sides of length 5 units, 12 units and 13 units. The triangle is dilated by a scale factor of 3 around point B. What is the area of triangle A'B'C'?

Answers

Answer:

Step-by-step explanation:

Multiply each # by 3 so 15 36 39

(15x36)/2=270

I'm sorry if its wrong.

The area of the right-angle triangle A'B'C' will be 450 square units.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

Right Triangle ABC has sides of length 5 units, 12 units, and 13 units. The triangle is expanded by a scale element of 3 around point B.

Then the dimension of the right triangle is given as,

A'B' = 3 x 5 = 15 units

B'C' = 12 x 5 = 60 units

A'C' = 13 x 5 = 65 units

The area of the right-angle triangle A'B'C' will be given as,

A = (1/2) x 15 x 60

A = 15 x 30

A = 450 square units

The region of the right-point triangle A'B'C' will be 450 square units.

More about the dilation link is given below.

https://brainly.com/question/2856466

#SPJ2

explain why 256 + 4 is equivalent to (200 + 4) + (40+4) + (164)​

Answers

The expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.

Given the expression 256 + 4. This can be solved using the partial sum expressed as:

256 + 4

256 + 4

= (200 + 40 + 16) + 4

According to the commutative property, A+B = B+A

The arrangement does not affect the result. Hence;

(200 + 40 + 16) + 4 = 4 +  (200 + 40 + 16)

Using the distributive law;

4 +(200 + 40 + 16) = (200 + 4) + (40 + 4) + (16 + 4)

Hence the expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.

​Learn more on  partial sum  here: https://brainly.com/question/6958503

solve inequalities by using transformation rules? 7(x-2)<4x-8​

Answers

Answer:

x < 2

Step-by-Step Explanation:

What expression is equivalent too 3(-6h - 4) + 5h?

Answers

Answer:

-13h - 12

Step-by-step explanation:

3(-6h - 4) + 5h

-18h - 12 + 5h

-13h - 12

hope this helps! :D

have a miraculous day, and brainliest is immensely appreciated!! <3

can anyone help with this.pls
i will mark as brainliest answer if it is correct
need explanation

Answers

Answer:

He obtained 11.2 points

Step-by-step explanation:

He obtained 20 balls and was penalized 3 points.

If each red ball is 0.5 points off, then 3/0.5=6

6 of his obtained balls were red balls, penalizing 3 points.

So, 20-6=14

The rest of his 14 balls were green balls, each worth 0.8

So, 14 × 0.8 = 11.2

So he obtained a total of 11.2 points

A boy is walking at 3 m/s He is 25 kg and his back pack is 5kg. What is the boys momentum when carrying the back pack?
90 kg m/s

10 kg m/s

15 kg m/s

75 kg m/s

Answers

Answer:

90 kg m/s

Step-by-step explanation:

The equation for momentum is

p= mass x velocity

so our velocity is 3 thats is given

the mass must be calculated by adding 25  and 5

this adds to 30

30 x 3 = 90

will give brainliest plz help

Answers

4.6(if rounded) or 4.57 (if not rounded)
There are 32oz for the full week, all you have to do is divide that by 7 to find the average for each day :)

A trucking company uses matrix A, shown below, to represent the driving time in hours for 6 trucking routes. A=[4686810]The driving time matrix is based on an average speed of 60 miles per hour. This means that the matrix 60A represents the driving distances in miles for these 6 trucking routes. Which of these is the matrix 60A?

Answers

Answer:

The answer is 90A because.....

Step-by-step explanation:

The truck company is 90 miles an hour away so the matrix divided by two is 3 plus 6 again is 9 hoped is help you.

Drake is playing basketball. He knows that he can score one, two, or three-point shots in a game, and he has already scored 5 points this game. He wants to score at least 20 points before the game ends.

Answers

Answer: He needs to splash the threes

Step-by-step explanation: He dosent have the vertical so he just needs to have a splashy 3 pointer

Directions- If each quadrilateral below is rectangle, find the missing measures ​

Answers

Answer:

1) 59

2) 31

3) 59

4) 31

5) 31

6) 59

7) 118

8) 62

9) 62

10) 118

11) 31

Step-by-step explanation:

The angle marked 59 degrees is congruent to angles 1, 3, and 6. The angle marked 59 + angle 11 is 90 degrees because the shape is a rectangle, so 90-59=31. Angle 11 is congruent to angles 2, 4, and 5. Now that we know that the triangle on the left has two angles of 59 degrees and that the angle measures of a triangle add to 180, 59+59=118 and 180-118=62, so angle 9 is 62 degrees. Angles 8 and 9 are vertical angles and therefore are congruent. To find angles 10 and 7, we can use the same method: angles 4 and 5 are both 31 degrees, 31+31=62, so we subtract 62 from 180 to get 118. Angles 7 and 10 are also vertical angles, so they are both 118 degrees. I hope this helps!

3 tickets to the museum cost $12.75. At this rate, what is the cost of:
1 ticket?
5 tickets?

Answers

Answer:

1 ticket would be $4.25

5 tickets would be $21.25

Step-by-step explanation:

Hope that help, mind if a get a brainliest now?

Answer:

4.25 for 1 ticket, 21.25 for 5

Step-by-step explanation:

12.75 divided by 3 = 4.25 x 5 = 21.25

What is the range of the relation?







Question 9 options:



{–4, –2,–1, 2}




{–4, 4}




{–3, –2, 0, 2}




{–4, –2, –1, 0, –2}

Answers

Step-by-step explanation:

the range of a relation or function is the interval or set of valid result values (y values).

in contrast to the domain, which is the interval or set of valid x values.

so, as y values we have here

-3, -2, 0, 2

so, the third answer option is correct.

Calculate the value of 2x and 3x

Answers

Answer:

2x= 88

3x = 132

Step-by-step explanation:

The sum of the angles  that form a circle is 360

2x+3x+140 = 360

5x+140 = 360

5x+140-140 = 360-140

5x= 220

Divide by 5

5x/5 = 220/5

x=44

2x= 2*44=88

3x = 3*44=132

Simplify the question

Answers

I will explain the steps later:)

the average score of the five tests was 83. The first 4 scores were 91, 78, 86, 72. What was the score of the 5th test. Thank you so much!

Answers

Answer:

88

Step-by-step explanation:

You might need: 3 Calculator
2
Find the area of the shape.
Either enter an exact answer in terms of t or use 3.14 for it and enter your answer as a decimal.

units?

Answers

Answer:

90/360 x 3.14 x [tex]2^{2}[/tex]. (put into calculator)

Step-by-step explanation:

This is a sector of a circle we can see that there is a right angle (90 degrees) so we can say there is 90/360 of a circle.

The formula for the area of a circle is pi times radius squared.

We can use this but also need to use 90/360.

We can say the area of the shape is 90/360 x 3.14 x [tex]2^{2}[/tex].

In a right isosceles triangle, the length of both legs are equal. For the given isosceles triangle, what is the value of X

Answers

Answer:

x=6

Step-by-step explanation

So, the formula for this is the Pythagorean Theorum which is a^2 +b^2=c^2.

If the longest side is the square root of 72, then it is the hypotenuse, or c. Now the equation looks like this. a^2 + b^2 = square root of 72.

Since we know that a and b are the same, and that they equal the square root of 72, just divide 72 by two for the square root of 36. Just find the square root of 36 now, which is 6. :) Hope this helps!

1. Construct the Isosceles triangle from given data below : Altitude = 55mm Perimeter = 135mm​

Answers

Answer:

  base: 22 37/54; sides: 56 17/108

Step-by-step explanation:

If we let x represent half the length of the base, and y represent the length of the side, then we have ...

  2x +2y = 135 . . . . . perimeter relation

  x^2 +55^2 = y^2 . . . . Pythagorean theorem relation

Solving for y and substituting into the second equation, we have ...

  y = 135/2 -x

  x^2 + 3025 = (67.5 -x)^2

  3025 = -135x +4556.25 . . . . . . expand, subtract x^2

  135x = 1531.25 . . . . . . . . . . add 135x -3025

  x = 1531.25/135 = 11 37/108

The length of the base is double this value, 22 37/54.

The length of each side is 67.5 -11 37/108 = 56 17/108.

__

Check

The perimeter is the base plus two side lengths:

  22 37/54 + 2(56 17/108) = (22 +112) +37/54 +17/54 = 134 +1 = 135.

is 8/24 greater or 8/20

Answers

Answer:

8/20

Step-by-step explanation:

the 8s may be the same, but because the denominator 20 is smaller than 24, 8 takes up more of it. another way to check is that 8/24 as a decimal is .33 repeating, but 8/20 as a decimal is 0.4.

0.4 is more than .33 repeating. reaffirming that 8/20 is bigger

A carpet cleaning company charges $55 per hour. Is the relationship a proportional relationship? Explain. Complete the table.A. Yes it has a constant rate change.B. Yes it has a constant rate of change.C. No it does not have a constant rate of change.

Answers

Answer:C

Step-by-step explanation:

solve 4x-y=-5 -2x+3y=10​

Answers

Answer:

(x,y) =(7/2,4)

(x,y) = (9/2,8) thats the answer

The Kicking Cacti and the Sprinting Stingrays met in their town's annual kickball
championship this year. They were so evenly matched that the game lasted 11 innings! The
Stingrays had 3 pitchers, and each of them pitched for the same number of innings.
How long did each of the pitchers for the Stingrays pitch?
Write your answer as a proper fraction or mixed number.
innings

Answers

Using proportions, it is found that each of the pitchers for the Stingrays pitched for [tex]\mathbf{\frac{11}{3} = 3\frac{2}{3}}[/tex] innings.

This question is solved by proportions, using a rule of three.In total, the Stingrays pitched 11 innings, with 3 pitchers. Each pitcher pitched the same amount of innings, hence, 1 pitcher pitched x innings.

The rule of three is:

3 pitchers - 11 innings

1 pitcher - x innings

Applying cross multiplication:

[tex]3x = 11[/tex]

[tex]x = \frac{11}{3}[/tex]

11 divided by 3 has result 3 with remainder 2, hence, also considering the answer as a mixed number:

Each of the pitchers for the Stingrays pitched for [tex]\mathbf{\frac{11}{3} = 3\frac{2}{3}}[/tex] innings.

You can learn more about proportions at https://brainly.com/question/24372153

Find the hypotenuse of an isosceles right triangle when the legs each measure 3 square root of 2 inches.

Answers

It equals the square root of 12 or 3.4641

Answer:

12

Step-by-step explanation:

3 square root of 2 equals 12

Use the diagram to answer the question that follows.


What is the image of C under the translation described by the translation rule (x, y) + (x +4,
y - 10)?

D

B

E

A

Answers

Answer:

B

Step-by-step explanation:

So we are at C:

We need to find the dilation:

First we add 4 to x (meaning we move the point C 4 points to the right)

Then we need to subtract 10 to y (meaning we move the point C 10 points downwards)

This will give you your point:

Which is B

Hope this helps!

Mary is 19 years younger than Jordan. Sarah is 49. Leo is 11 years younger than Sarah and 3 years
younger than Jordan. How old is Mary?

Answers

Answer:

22 years old

Step-by-step explanation:

Sarah - 49 years old

Leo - 38 years old

Mary - 22 years old

Jordan - 41 years old

 I think I'm right

A bag holding 7 1/5 pounds of mixed nuts will be divided equally among 9 people.
How many pounds of nuts will each person get?

Answers

Answer:

4/5

Step-by-step explanation:

So sorry if im wrong <3

Answer:

Each person will get 4/5, or 0.8 pounds of nuts.

Step-by-step explanation:

First, we need to convert 7 1/5 into an improper fraction, by multiplying

7 x 5 = 35

and adding

35 + 1 = 36

Our improper fraction is 36/5

Now, we can divide

36 / 9

5 /  1

To do so, we need to switch 9/1 to its reciprocal, 1/9, and then multiply

36 x 1 = 36

5 x 9 = 45

Our answer is 36/45

We can simplify our answer by dividing by 9

36 / 9 = 4

45 / 9 = 5

Our final answer is 4/5, or 0.8 pounds of nuts

Determine the total number of roots of each polynomial function.

f (x) = (3x4 + 1)2

Answers

Answer:

It’s not allowing me to place done the work but the answer is 8 sorry!
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