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svp [43]
3 years ago
5

Type the correct answer in the box. Log14/13+log11/5-log22/15= log

Mathematics
2 answers:
Andrew [12]3 years ago
5 0

\text{Use}\\\\\log_ab+\log_ac=\log_a(bc)\\\\\log_ab-\log_ac=\log_a(b:c)\\\\\tet{for}\ a>0\ \wedge\ a\neq1\ \wedge\ b>0\ \wedge\ c>0\\-----------------------------\\\\\log\dfrac{14}{13}+\log\dfrac{11}{5}-\log\dfrac{22}{15}=\log\left(\dfrac{14}{13}\cdot\dfrac{11}{5}:\dfrac{22}{15}\right)=\log\left(\dfrac{14}{13}\cdot\dfrac{11\!\!\!\!\!\diagup^1}{5\!\!\!\!\diagup_1}\cdot\dfrac{15\!\!\!\!\!\diagup^3}{22\!\!\!\!\!\diagup_2}\right)

=\log\left(\dfrac{14\!\!\!\!\!\diagup^7}{13}\cdot\dfrac{1}{1}\cdot\dfrac{3}{2\!\!\!\!\diagup_1}\right)=\log\dfrac{21}{13}

MArishka [77]3 years ago
4 0

your answer would be x=21/13

When the logs have the same base: logb(f(x)) = logb(g(x)) --> f(x) g(x)

if im correct please mark brainliest :)

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the volume of a cylinder is 411π in^3. The height of the cylinder is 9 in. Calculate the diameter of the cylinder to the nearest
EleoNora [17]

Answer:

13.5 in, or 34.3 cm.

Step-by-step explanation:

First, use the formula volume = pi * r^2 * height- you have the volume, so just solve the equation 411pi = pi * 9 * r^2 for r, and you get that r = 6.75. Since diameter is equal to 2r, multiply 6.75 by 2 to get your answer of 13.5 inches. The questions asks for the diameter in centimeters though, which makes it 34.3 cm.

Hopefully this helps- let me know if you have any questions!

8 0
2 years ago
HELP PLEASE!!!!
kumpel [21]

Answer:

The rational numbers are \frac{11}{3}, 6.25, 0.01045,\sqrt{\frac{16}{81}},0.\bar{42} and the irrational functions are \sqrt{48},\sqrt{\frac{3}{16}}.

Step-by-step explanation:

A rational number can be expressed in the form of \frac{p}{q}, where p and q are integers and q is not equal to 0. For example 2,3.5,\frac{2}{5},....

An irrational function can not be expressed in the form of \frac{p}{q}, where p and q are integers and q is not equal to 0. For example \sqrt{2},\sqrt{3},\sqrt{5},....

If any number is multiplied by a irrational number then the resultant number is an irrational number.

By the above definition we can conclude that:

The number \frac{11}{3} is a rational number.

\sqrt{48}=\sqrt{16\times 3}=4\sqrt{3}

Therefore \sqrt{48} is an irrational number.

6.25=\frac{625}{100}=\frac{25}{4}

Therefore 6.25 is a rational number.

0.01045=\frac{1045}{100000}=\frac{209}{20000}

Therefore 0.01045 is a rational number.

\sqrt{\frac{16}{81}}=\frac{4}{9}

The number \frac{16}{81} is a rational number.

\sqrt{\frac{3}{16}}=\frac{\sqrt{3}}{4}

The number \frac{3}{14} is an irrational number.

0.\bar{42}=\frac{42}{99}

Therefore 0.\bar{42} is an irrational number. The numbers with recursive bar are always rational numbers.

3 0
3 years ago
How many 3/4 foot pieces of string can be cut from a piece of string 4 1/2 feet long
Gnom [1K]
3/4 foot is 9 inches, and 4 1/2 feet is 54 inches, so, 54/9 makes exactly 6 pieces of string. 
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3 years ago
Andrew has three times as many pens as Owen. Together they have 20 pens. How many pens Andrew have?
Softa [21]
Andrew has 10 pens bc it's half of twenty
3 0
3 years ago
What’s the answer for 7 X WHEN x = 29 ??
kirza4 [7]

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

7x

Step 02:

We must analyze the equation to find the solution.

x = 29:

7 (29) = 203

The answer is:

203

7 0
1 year ago
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