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Yakvenalex [24]

2 years ago

5

BRAINLIEST TO WHOEVER GETS IT RIGHT!! Kyle has to run 3 1/2 laps for his workout. He is 1/2 finished. How many laps has Kyle ran

so far?A)1 1/4 B)1 3/4 C) 2 1/4 D)7....
.

1 answer:

8090 [49]2 years ago

3 0

Answer:

A. 1 /14

Step-by-step explanation:

3 1/2 / 1/2 = 1 /14

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Expanding Logarithmic Expressions In Exercise, use the properties of logarithms to rewrite the expression as the sum, difference

kicyunya [14]

Answer:

$\\ ln(x^2) - ln(x^2 + 1)$ .

For values of x>0, it can be rewritten as $\\ 2ln(x) - ln(x^2 + 1).$

Step-by-step explanation:

For the expression:

$\\ ln(\frac{x^2}{x^2 + 1})$

We can apply this logarithmical property: $\\ ln(\frac{x}{y}) = ln(x) - ln(y).$

Then,

$\\ \frac{x^2}{x^2 + 1} = ln(x^2) - ln(x^2 + 1).$

If we assume values of <em>x </em>> 0 (non negative values for x), then the expression could be rewritten as follows:

$\\ \frac{x^2}{x^2 + 1} = ln(x^2) - ln(x^2 + 1) = 2 ln(x) - ln(x^2 + 1)$ , since $\\ ln(x^{n}) = n*ln(x).$

We have to remember that <em>domain</em> (all possible values x) for logarithmic function is for all x > 0, or mathematically expressed as:

Domain: $\\ {x | x \in R, x > 0}$

8 0

2 years ago

Help please...............

dusya [7]

the correct answer is 36°

5 0

2 years ago

5 boys and 6 girls attend a birthday party and play pin the tail on the donkey. If a girl wins first and second place and a boy

Vera_Pavlovna [14]

Answer:

75 Arrangements

Step-by-step explanation:

Girl can secure 1st & 3rd, boy can secure 2nd position in : 6 x 5 x 5 = 150 ways ; As :

1st position holder can be chosen in 6 ways (among 6 girls)
2nd position holder can be chosen in 5 ways (among 5 boys)
3rd position holder can be chosen in ( among 5 remaining girls)

The arrangement of first, second & third :

It is same : If Girl G1 gets first rank & Girl G2 gets third rank, is same as ; Girl G1 gets third rank & Girl G2 gets first rank. So, two are considered the same group. Hence, number of arrangements are 150 / 2 = 75 arrangements.

5 0

2 years ago

Please help. Don’t understand this math problem!

oksian1 [2.3K]

Answer:

{ 4 }

Step-by-step explanation:

First you need to solve the equation. Then you need to write the solutions as a set.

__

I like to use a graphing calculator to solve equations involving roots. That helps avoid extraneous solutions. Here, the graph of the left side intersects the graph of the right side at x=4. There is exactly one solution, so the solution set is ...

{ 4 }

__

Solving this algebraically, you would isolate the radical, then "undo" it by squaring both sides of the equation. Then solve the resulting quadratic. That will have 2 solutions, only one of which will work in the original equation.

√(5x +16) -2 = 3x -8 . . . . given

√(5x +16) = 3x -6 . . . . . . add 2

5x +16 = (3x -6)^2 . . . . . square both sides

5x +16 = 9x^2 -36x +36 . . . . expand the square

9x^2 -41x +20 = 0 . . . . . . subtract (5x+16) to put into standard form

Factors of 9·20 = 180 that have a sum of 41 are 5 and 36, so we can rewrite this equation as ...

9x^2 -36x -5x +20 = 0

9x(x -4) -5(x -4) = 0 . . . . . . factor by pairs

(9x -5)(x -4) = 0

The values of x that make this equation true are the values that make the factors be zero: 5/9 and 4. Trying these in the equation, we find ...

√(5(5/9) +16) -2 = 13/3 -2 = 2 1/3 . . . . value of the left side for x = 5/9

3(5/9) -8 = -6 1/3 . . . . . . value of the right side for x=5/9; not the same

x = 5/9 is NOT A SOLUTION

__

√(5(4)+16) -2 = √36 -2 = 4 . . . . value of the left side for x = 4

3(4) -8 = 12 -8 = 4 . . . . . . value of the right side for x=4. These are the same, so ...

x = 4 is a solution

The set of solutions is then ...

{ 4 } . . . . . solution set

5 0

2 years ago

sergij07 [2.7K]

Answer: The third choice

Explanation:

This equation does not represent the perimeter.

To write the equation:

2(3x - 1) + (2x + 1) = 55
6x - 2 + 2x + 1 = 55
8x - 1 = 55

Thus, 3 of the choice represent but the the third choice didn’t appear in the equation.

4 0

2 years ago