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nikitadnepr [17]

3 years ago

9

What is the approximate value of q in the equation below? q log subscript 2 baseline 6 = 2 q 2

1 answer:

Agata [3.3K]3 years ago

6 0

The approximate value of q in the equation below is 0.584

<h3>Logarithmic functions</h3>

Given the log expression as shown below;

q + log2(6) = 2q + 2

Collect the like terms

q - 2q = 2 - log(2)6
-q = 2 - log(2)6

-q = log(2)4 - log(2)6

-q = 2 -2.584

-q = -0.584

q = 0.584

Hence the approximate value of q in the equation below is 0.584

Learn more on logarithm here: brainly.com/question/237321

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What is the distance between the lines y = 2x and y = 2x+5? Round your answer to the nearest tenth.

Ilia_Sergeevich [38]

The distance between both lines is 2.24 units

Step-by-step explanation:

There is no straight method to find the distance between two lines. The distance can be found out by finding a point on one line and then finding the distance of that point from the other line. The y-coordinate of point is obtained by putting any value of x in equation . The x and y combined give us the point.

Given

$y=2x\\Putting\ x=1\\y=2(1)\\y=2\\So, the\ point\ on\ y=2x\ is\ (1,2)$

We have to find the distance of this point from y=2x+5

$y=2x+5\\Subtracting\ y\ from\ both\ sides\\y-y=2x+5-y\\2x-y+5=0$

The formula for finding distance of a point (x,y) from a line is:

$d=\frac{|Ax+By+C|}{\sqrt{A^2+B^2}}$

A=2

B=-1

C=5

Putting the values in the formula

$d=\frac{|(2)(1)+(-1)(2)+5|}{\sqrt{(2)^2+(-1)^2}}\\d=\frac{|2-2+5|}{\sqrt{4+1}}\\d=\frac{|5|}{\sqrt{5}}\\d=\frac{5}{\sqrt{5}}\\d=2.236\ units$

Rounding off will give: 2.24 units

The distance between both lines is 2.24 units

Keywords: Equations of lines

Learn more about distance in lines at:

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7 0

3 years ago

5. Which one choice is written in scientific notation.

murzikaleks [220]

Answer: A is

Step-by-step explanation: its the only one that follows the rules

3 0

3 years ago

A catcher's and a pitcher's uniform numbers are consecutive integers whose product is 132. If the catcher's was the smaller numb

Masja [62]

Answer:

catcher: 11
pitcher: 12

Step-by-step explanation:

Since the numbers are consecutive, the square root of the product will be a value between them.

√132 ≈ 11.49

so, the consecutive numbers are 11 and 12. (11×12 = 132)

The catcher's number is smaller, so is 11; the pitcher's number is 12.

8 0

4 years ago

What is the mean of the data set? Fifth Grade Jump Distance

love history [14]

The mean of the data set is 42.

<h3>What is Mean?</h3>

The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list.

Given:

20, 32, 34, 36, 40, 42, 44, 48, 55, 65

Mean = 20+32+ 34+ 36+ 40+ 42+ 44+ 48+ 55+ 65/10

Mean = 416 / 10

Mean = 41.6

Mean = 42

Learn more about mean here:

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4 0

2 years ago

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tigry1 [53]

$D:x+2\not=0\\
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3 years ago