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4 years ago

Solve 81^x = 27^^^x + 2. A. x = 1 B. x = 2 C. x = 5 D. x = 6

Mathematics

2 answers:

Margarita [4]4 years ago

5 0

Answer:

Step-by-step explanation:

81^x=27^(x+2)

3^4=81 and 3^3=27

3^4x=3^(3(x+2))

exponents are the same so we just take those

4x=3x+6

x=6

d1i1m1o1n [39]4 years ago

3 0

For this case we must solve the following equation:

$81 ^ x = 27^{x + 2}$

We rewrite:

$81 = 3 ^ 4\\27 = 3 ^ 3$

Then, replacing:

$3^{4x} = 3^{3 (x + 2)}$

For the bases to be equal then it must be fulfilled that:

$4x = 3 (x + 2)\\4x = 3x + 6\\4x-3x = 6\\x = 6$

Answer:

$x = 6$

Option D

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A 15 ft ladder leans against the side of a house. The top of the ladder is 13 ft off the ground. Find x, the angle of elevation

shutvik [7]

Answer:

x= 60.1 degrees

Step-by-step explanation:

The triangle forms a right angle triangle

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Hypotenuse of the triangle = 15

We know the opposite side and the hypotenuse

So we use trigonometric formula sin(x)

$sin(x) = \frac{opposite}{hypotenuse}$

$sin(x) = \frac{13}{15}$

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$x=sin^{-1}(\frac{13}{15})$

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3 years ago

The table shows the average number of hours of daylight per day for the last four months of the year. a 2-column table with 4 ro

mina [271]

The correlation coefficient for the data in the table is A. –0.993

<h3>Calculations and Parameters:</h3>

Using this formula: $r = \frac{n(\sum xy)-(\sum x\sum y)}{\sqrt{n\sum x^2-(\sum x)^2}\sqrt{n\sum y^2-(\sum y)^2}}$

We would use x and y to represent the unknowns.

n = 4

We have,

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Putting these values in the formula $r = \frac{n(\sum xy)-(\sum x\sum y)}{\sqrt{n\sum x^2-(\sum x)^2}\sqrt{n\sum y^2-(\sum y)^2}}$ would bring the answer as. A. –0.993

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brainly.com/question/4160489

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3 years ago

-8

nevsk [136]

Answer:

take your pick. Each has its own reason.

Step-by-step explanation:

As with a lot of "doesn't belong" problems, the one that is different depends on your criteria. In the attached figure, each one "doesn't belong" for a different reason. Those reasons are listed below each number line.

I might choose the lower left: "addition, not subtraction", as it is the only one with arrows in the same direction. That makes its difference from the others more obvious, perhaps.

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3 years ago

Find an equation for the line of best fit for the table below.

Luden [163]

Answer:

first or last depending how you are rounding the decimal

=> the best fit is the first one

Step-by-step explanation:

y = 2.55x - 2.15 when x = 5 => y = 10.6 approximately 11

y = 3.21x - 1.75 when x = 5 => y = 14.3 cannot equal or approximately 11

y = -2.15x + 2.55 when x = 5 => y = -8.2 cannot equal or approximately 11

y = 1.75x + 3.15 when x = 5 => y = 11.9 approximately 11

8 0

3 years ago

R={(3,-2), (-3,0), (-1, 2), (1, 2)}<br> Select all numbers that are in the domain.

Crazy boy [7]

Answer-

-3, -1, 1, 3

Step-by-step explanation:

the domain is the x variable.

hope this helps

6 0

3 years ago