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2 years ago

Solve and reduce to lowest terms: 6 / 11 x 1 / 3

Mathematics

2 answers:

zysi [14]2 years ago

5 0

Answer:

2/11

Step-by-step explanation:

6/11 x 1/3 =

6/33 =

2/11

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Kamila [148]2 years ago

5 0

Answer:

2/11 as a fraction

0.18 as a decimal

Step-by-step explanation:

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Which of the following is the equation 6^4 = 1,296 written in logarithmic form?

masya89 [10]

Given $6^4 = 1,296$

To write in logarithmic form we convert exponential form to logarithmic form

We apply the following rule

$b^x = a$ can be written as $log_b(a) = x$

here b = 6 , x=4 and a = 1296

$6^4 = 1,296$ can be written as $log_6(1,296) = 4$

option A is correct

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2 years ago

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Word form 9,000,900,009

Aleonysh [2.5K]

Nine billion, nine hundred thousand, nine.

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2 years ago

2.What is the solution of the solution of the equation 5^3x=15? Round to the nearest ten thousandth.

sveta [45]

Hmm
remember
$a^c=b$ can translate to $log_a(b)=c$
so

$5^{3x}=15$ can translate to $log_5(15)=3x$
divide both sides by 3
$(1/3)log_5(15)=x$
$log_5(15^{1/3})=x$
use calculator, if you can't use change of base formula to do it
$log_a(b)= \frac{log_c(b)}{log_c(a)}$ so
$log_5(10^{1/3})= \frac{log_{10}(15^{1/3})}{log_{10}(5)}=x$
evaluate using base 10 on your calculator
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2 years ago

The coordinates of AB are A(-5, -1) and B(-2, -6). If AC : CB = 3 : 7, what are the coordinates of point C?

navik [9.2K]

$\text{Let the coordinates of AB are }A(-5,-1), \text{ and }B(-2, -6)\\
\\
\text{let the coordinate of th point C be (x, y), such that}\\
\\
AC:CB=3:7\\
\\
\text{By the section formula, we know that if P(x,y) lies on a line segment AB}\\
\text{where, }A(x_1,y_1), \ B(x_2,y_2)\text{ and satisfy the ratio, }AP:PB=m:n, \text{ then}$

$P=\left ( \frac{mx_2+nx_1}{m+n}, \ \frac{my_2+ny_1}{m+n} \right ).\\
\\
\text{So using this formula, we get for the given problem}\\
\\
C=\left ( \frac{3(-2)+7(-5)}{3+7}, \ \frac{3(-6)+7(-1)}{3+7} \right )\\
\\
\Rightarrow C=\left ( \frac{-6-35}{10}, \ \frac{-18-7}{10} \right )\\
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\Rightarrow C=\left ( \frac{-41}{10}, \ \frac{-25}{10} \right )\\
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\Rightarrow C=\left ( -4.1, \ -2.5 \right )$

Coordinates of the point C is: (-4.1, -2.5)

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3 years ago

If 8x-10=3x+90 what is x

Elan Coil [88]

Answer:

x = 20

Step-by-step explanation:

8x - 10 = 3x + 90

5x = 100

x = 20

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2 years ago