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Varvara68 [4.7K]
3 years ago
13

What is the simplified form of the expression? c^9d^-7/c^14d^-10

Mathematics
1 answer:
Softa [21]3 years ago
7 0
Just as same-base exponents can be added when multiplied, you should subtract the exponent when the numbers are being divided:

\frac{c^9d^{-7}}{c^{14}d^{-10}} = c^{(9-14)}d^{(-7+10)} = c^{-5}d^3 =  \frac{d^3}{c^5}
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2^x+5 = 3^1-x use logarithms to solve the exponential equation. round answer to 3 decimal places.
marysya [2.9K]
2^{x+5}=3^{1-x}\ \ \ \ \ /log_2()\\\\log_22^{x+5}=log_23^{1-x}\\\\x+5=(1-x)log_23\\\\x+5=log_23-xlog_23\\\\x+xlog_23=log_23-5\\\\x(1+log_23)=log_23-5\ \ \ \ /:(1+log_23)

x=\frac{log_23-5}{1+log_23}\\-------------\\log_23\approx1.5849625\\----------------\\x\approx\frac{1.5849625-5}{1+1.5849625}\approx-1.321
8 0
4 years ago
Read 2 more answers
12*11*35 is supposed to be 4260 right? Does anyone know the steps for this? (CBSE Grade 6)
slamgirl [31]
Step One: Line Up All the Digits. First, line up all of the numbers according to their place value.
Step Two: Multiply by the Ones Digit. ...
Step Three: Add a Zero Place Holder. ...
Step Four: Multiply by the Tens Digit. ...
Step Five: Add the Two Answer Rows Together.
6 0
2 years ago
Which ordered pair is a solution to the inequality?<br><br> Help please!!
Murrr4er [49]

Choice A is the answer which is the point (1,-1)

=========================================

How I got this answer:

Plug each point into the inequality. If you get a true statement after simplifying, then that point is in the solution set and therefore a solution. Otherwise, it's not a solution.

-------------

checking choice A

plug in (x,y) = (1,-1)

y - 2x \le -3

-1 - 2(1) \le -3

-3 \le -3

This is true because -3 is equal to itself. So this is the answer.

-------------

checking choice B

plug in (x,y) = (2,4)

y - 2x \le -3

4 - 2(2) \le -3

0 \le -3

This is false because 0 is not to the left of -3, nor is 0 equal to -3. We can cross this off the list.

-------------

checking choice C

plug in (x,y) = (-2,3)

y - 2x \le -3

3 - 2(-2) \le -3

7 \le -3

This is false because 7 is not to the left of -3, nor is 7 equal to -3. We can cross this off the list.

-------------

checking choice D

plug in (x,y) = (3,4)

y - 2x \le -3

4 - 2(3) \le -3

-2 \le -3

This is false because -2 is not to the left of -3, nor is -2 equal to -3. We can cross this off the list.


4 0
3 years ago
Evaluate 7(-4) - |-6| + |4|
Zanzabum

\red { \green {\boxed {\boxed{Answer}}}}

= 7( - 4) -  | - 6|  +  |4|

=  - 28 -  | - 6 |  +  |4|

=  - 28 - 6 +  |4|

=  - 34 +  |4|

=  - 34 + 4

=  - 30

The absolute value of a real number a is a when a≥0, or -a when a<0. The absolute value of -6 is 6. The absolute value of 4 is 4.

 ‍ 

#IfWrongPleaseReport

#StudyTogetherWithMe

#ILoveMath

7 0
3 years ago
Select all sets that contain the number 0.484848.
Yuki888 [10]

0.484848  . . . . .

<span>A. Integer . . . no, it's not
B. Irrational . . . no, it's not
C. Natural. . . no, it's not
D. Rational . . . Yes !  It is !
E. Whole</span> . . . no, it's not


4 0
4 years ago
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