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3 years ago

What logarithmic function represents the data in the table?

Mathematics

2 answers:

alina1380 [7]3 years ago

8 0

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 = $log_6x$

lubasha [3.4K]3 years ago

3 0

The correct answer among the choices provided is the fourth option. The logarithmic function f(x)=log(base 6)x represents the data in the table. Log is the value that one can get to express a number to a certain power. It is solved through finding the pattern using the given values,
6^3 = 216
6^4 = 1296
6^5 = 7776

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Hello I need help on this question!

Sloan [31]

Answer:

Step-by-step explanation:

Refer to attachment for marking of sides.

In the given figure , ∆ABC , ∆ABD and ∆ADC are right angled triangles . Therefore here we can use the Pythagoras theorem , as ,

$\longrightarrow$ base² + perpendicular² = hypotenuse ² .

• In ∆ABD , we have ;

$\longrightarrow$ AB² + BD² = AD²

$\longrightarrow$ AB² + x² = 10²

$\longrightarrow$ AB² = 10² - x²

$\longrightarrow$ AB² = 100 - x²

$\rule{200}2$

• Again in ∆ADC , we have ;

$\longrightarrow$ AC² + AD² = CD²

$\longrightarrow$ AC² = 20² - 10²

$\longrightarrow$ AC² = 400 - 100

$\longrightarrow$ AC² = 300

$\rule{200}2$

Again in ∆ABC , we have ,

$\longrightarrow$ AC² = AB² + BC²

Substituting the values from above ,

$\longrightarrow$ 300 = 100-x² + (20-x)²

$\longrightarrow$ 300 = 100 - x² + 400 + x² - 40x

$\longrightarrow$ 40x = 500 - 300

$\longrightarrow$ 40x = 200

$\longrightarrow$ x = 200/40

$\longrightarrow$ x = 5

<h3>Hence the required answer is 5 .</h3>

8 0

2 years ago

If the farmer isn't present, the fox cannot be left with either the dog or the goose, or both. if need be, the goose can be left

Natasha_Volkova [10]

Answer:

See below

Step-by-step explanation:

Take fox across

go back to get goose

take goose across

take fox BACK

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4 0

1 year ago

Determine the value of x isosceles triangle?

KiRa [710]

Answer:

x = 13ft

Step-by-step explanation:

The isosceles triangle is a polygon with three sides, two being equal and the other unequal.

The angles P and N will also be equal and the M other different.

PM ≅ MN

∠P ≅ ∠N

PN = 2x

because the line starting at M divides the triangle into two sections

26 = 2x

2x = 26

x = 26 /2

x = 13ft

8 0

3 years ago

Ashwin helps paint a square mural in his classroom. Then he helps paint a mural in the hallway whose length is 7 feet longer and

Serhud [2]

Ashwin paints 2 murals:

A square mural in his classroom
A mural in the hallway with length 7 feet longer and width 3 feet shorter

Also, x indicates the side length of the mural in the classroom. Since the classroom mural is square in shape, the length and breadth of the mural would be x.

Part A: Expression to represents the two binomials to be multiplied to find the area of the hallway mural

Area of the hallway mural = Length of the hallway mural × Breadth of the hallway mural

So Length of the hallway mural = Length of the classroom mural + 7

⇒ Length of the hallway mural = x + 7

Breadth of the hallway mural = Breadth of the classroom mural - 3

⇒ Breadth of the hallway mural = x - 3

Hence, x + 7 and x - 3 need to be multiplied to determine the area of the mural

Part B: Area of the hallway mural

Area of the hallway mural = Length of the hallway mural × Breadth of the hallway mural

⇒ Area of the hallway mural = (x + 7) × (x-3)

⇒ Area of the hallway mural = x² + 7x - 3x - 21

⇒ Area of the hallway mural = x² + 4x - 21

Part C: Area of the hallway mural if each side of the classroom mural is 8 foot long

Putting the value x = 8 in the answer of Part B

⇒ Area of the hallway mural = 8² + 4×8 - 21

⇒ Area of the hallway mural = 64 + 4×8 - 21

⇒ Area of the hallway mural = 64 + 32 - 21

⇒ Area of the hallway mural = 75 square feet

3 0

3 years ago

Read 2 more answers

An experiment involves rolling two dice simultaneously. The following table shows the possible outcomes using the format of (die

Lostsunrise [7]

Answer:

1,1

2,2

3,3

4,4

5,5

6,6

1,2

1,3

1,4

1,5

1,6

2,1

2,3

2,4

2,5

2,6

3,1

3,2

3,3

3,4

3,5

3,6

4,1

4,2

4,3

4,4

4,5

4,6

5,1

5,2

5,3

5,4

5,5

5,6

6,1

6,2

6,3

6,4

6,5

count these and mult my two because they can be reversed.

Step-by-step explanation:

8 0

2 years ago