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3 years ago

PLEASE ANSWER! 10 Points

Mathematics

2 answers:

salantis [7]3 years ago

6 0

ANSWER

C. x=2

EXPLANATION

The given equation is

$\frac{x + 4}{6x} = \frac{1}{x}$

Cross multiply to get,

$6x = x(x + 4)$

Expand to get:

$6x = {x}^{2} + 4x$

${x}^{2} + 4x - 6x = 0$

${x}^{2} - 2x = 0$

$x(x - 2) = 0$

$x = 0 \: or \: x = 2$

But the domain is

$x \ne0$

Therefore the solution is x=2.

Mariulka [41]3 years ago

3 0

Step-by-step explanation:

refer the attachment......

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1/3 of the wall is covered in stone

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3 years ago

Which of the following expressions are equivalent to 6 + (-4) - 5

Mila [183]

Answer:

B and C

Step-by-step explanation:

All you need to do is find the answer for all of them and see which ones match

Original:

6 + (-4) - 5

6 - 4 - 5

2 - 5

This is the answer for the original expression, now we need to see which one is the correct match....

A. -(-6 + 4 ) - 5

2 negatives being subtracted gives you a positive

6 + 4 - 5

10 - 5

Incorrect, so now we know its not A

B. 6 - 4 - ( -5)

Again 2 negatives give you a positive

6 - 4 + (5)

6 - 9

-3

Correct, so now we know its B

C. 6 - (4 + 5)

PEMDAS so do the parenthesis first

6 - 9

-3

Correct, so now we it's C.

D. 6 + 4 - 56

10 - 56

-46

Incorrect, so now we know its not D

E. -(-6) + (-4) - (-5)

Again, 2 negatives equal a positive

6 - 4 + 5

2 + 5

Incorrect so now we know its not E

The correct answer is C

Hope this helped!

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6 0

2 years ago

The accompanying data contains the depth (in kilometers) and magnitude, measured using the Richter Scale, of all earthquakes

Sunny_sXe [5.5K]

Answer:

Depth:

μ =20.2025 km

M = 15.625 km

Range = 47.15 km

σ ≈ 15.92 km

Q₁ = 5.7375 km

Q₃ = 34.6675 km

Magnitude:

μ = 2.08375

M = 1.465

Range, R = 5.17

σ = 1.801485 ≈ 1.8

Q₁ = 0.5625

Q₃ = 3.925

Step-by-step explanation:

The given data are;

Depth ${}$ Magnitude

0.76 ${}$ 0.84

4.93 ${}$ 0.47

8.16 ${}$ 0.35

33.58 ${}$ 1.32

21.2 ${}$ 1.61

35.03 ${}$ 4.57

10.05 ${}$ 5.52

47.91 ${}$ 1.99

For the Depth, we have;

The mean, μ = (0.76+4.93+8.16+33.58+21.2+35.03+10.05+47.91)/8 =20.2025 km

The median, M = The (n + 1)/2th term after arranging the term in increasing order as follows;

0.76, 4.93, 8.16, 10.05, 21.2, 33.58, 35.03, 47.91 , the median is therefore;

(8 + 1)/2th term or the 4.5th term which is 10.05 + (21.2 - 10.05)/2 = 15.625 km

The Range = The highest - The lowest value = 47.91 - 0.76 = 47.15 km

The Standard deviation of, σ, is given as follows;

$\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{N}}$

Where;

$x_i$ = The individual data point = (0.76, 4.93, 8.16, 10.05, 21.2, 33.58, 35.03, 47.91 )

N = The total number of data point = 8

Substituting, (using Microsoft Excel) we get;

$\sigma =\sqrt{\dfrac{\sum \left (x_i-20.2025 \right )^{2} }{8}} \approx 15.92 \ km$

Q₁ = The first quartile = The (n + 1)/4th = term arranged in increasing order

Q₁ = The (8 + 1)/4th term = The 2.25th term = 4.93 + (8.16 - 4.93)×0.25) = 5.7375 km

Q₃ = The first quartile = The 3×(n + 1)/4th = term arranged in increasing order

Q₃ = The 3×(8 + 1)/4th term = The 6.75th term = 33.58 + 3×(35.03 - 33.58)×0.25) = 34.6675 km

For the magnitude, we have, using the same formulas and procedures as above;

μ = 2.08375

M = 1.465

Range, R = 5.17

σ = 1.801485 ≈ 1.8

Q₁ = 0.5625

Q₃ = 3.925

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3 years ago

Oscar wants to put $1000 in a bank account that

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Answer:

he would end up with 3000$ in 10 years with simple interest

Step-by-step explanation:

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3 years ago

Linnea's company's revenue in 2017 is 36/25 of its revenue in 2016. What is Linnea's company's revenue in 2017 as a percent of i

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Let the 2016 revenue = x

Let the 2017 revenue = y

36/25 * 100 = the percent relationship

% relationship = 144%

y = 144% x

Answer 144% <<<<

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3 years ago

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