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Wittaler [7]
3 years ago
14

Simplify this expression. -12/3x(-8+(-4)^-6)+2 Please show step by step :)

Mathematics
1 answer:
mylen [45]3 years ago
5 0
How to solve your problem
Topics: Algebra
−
1
2
3
⋅

(
−
8
+
(
−
4
)
−
6
)
+
2
−
12
3
⋅
x
(
−
8
+
(
−
4
)
−
6
)
+
2
3−12​⋅x(−8+(−4)−6)+2
Simplify
1
Divide the numbers
−
1
2
3
⋅

(
−
8
+
(
−
4
)
−
6
)
+
2
−
12
3
⋅
x
(
−
8
+
(
−
4
)
−
6
)
+
2
3−12​⋅x(−8+(−4)−6)+2
−
4

(
−
8
+
(
−
4
)
−
6
)
+
2
−
4
x
(
−
8
+
(
−
4
)
−
6
)
+
2
−4x(−8+(−4)−6)+2
2
Evaluate the exponent
−
4

(
−
8
+
(
−
4
)
−
6
)
+
2
−
4
x
(
−
8
+
(
−
4
)
−
6
)
+
2
−4x(−8+(−4)−6)+2
−
4

(
−
8
+
1
4
0
9
6
)
+
2
−
4
x
(
−
8
+
1
4096
)
+
2
−4x(−8+40961​)+2
3
Add the numbers
−
4

(
−
8
+
1
4
0
9
6
)
+
2
−
4
x
(
−
8
+
1
4096
)
+
2
−4x(−8+40961​)+2
−
4

(
−
3
2
7
6
7
4
0
9
6
)
+
2
−
4
x
(
−
32767
4096
)
+
2
−4x(−409632767​)+2
4
Multiply the numbers
−
4

(
−
3
2
7
6
7
4
0
9
6
)
+
2
−
4
x
(
−
32767
4096
)
+
2
−4x(−409632767​)+2
3
2
7
6
7
1
0
2
4

+
2
32767
1024
x
+
2
102432767​x+2
5
Combine multiplied terms into a single fraction
3
2
7
6
7
1
0
2
4

+
2
32767
1024
x
+
2
102432767​x+2
3
2
7
6
7

1
0
2
4
+
2
32767
x
1024
+
2
102432767x​+2
6
Find common denominator
3
2
7
6
7

1
0
2
4
+
2
32767
x
1024
+
2
102432767x​+2
3
2
7
6
7

1
0
2
4
+
1
0
2
4
⋅
2
1
0
2
4
32767
x
1024
+
1024
⋅
2
1024
102432767x​+10241024⋅2​
7
Combine fractions with common denominator
3
2
7
6
7

1
0
2
4
+
1
0
2
4
⋅
2
1
0
2
4
32767
x
1024
+
1024
⋅
2
1024
102432767x​+10241024⋅2​
3
2
7
6
7

+
1
0
2
4
⋅
2
1
0
2
4
32767
x
+
1024
⋅
2
1024
102432767x+1024⋅2​
8
Multiply the numbers
3
2
7
6
7

+
1
0
2
4
⋅
2
1
0
2
4
32767
x
+
1024
⋅
2
1024
102432767x+1024⋅2​
3
2
7
6
7

+
2
0
4
8
1
0
2
4
32767
x
+
2048
1024
102432767x+2048​
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9- Jenny wants to buy a new camera. She found 4 stores that carry the camera
Vika [28.1K]

Answer:

d. $125, $135, $150, $130

Step-by-step explanation:

$125, $135, $150, $130

Range of the above set of numbers:

$150 - $125 = $25

Mean of numbers:

$125 + $135 + $150 + $130 = $540

540 ÷ 4 = $135

7 0
3 years ago
In Ethiopia there are 20 premier league soccer teams. in one round how many games are there?​
frosja888 [35]

Answer:

190 games

Step-by-step explanation:

²⁰C₂ = 20!/[(20 - 2)! * 2!] = 190

4 0
2 years ago
Convert 40.64 centimeters to inches. 1inch =2.54 centimeters
mario62 [17]
40.64/2.54= 16 inches
4 0
3 years ago
(a) A tram moved downward 72 meters in 8 seconds at a constant rate. What was the change in
Alex787 [66]

Answer:

a) 9 meters.

b) The total change in temperature was of 288ºC

Step-by-step explanation:

Both these questions can be solved using rules of three.

a) 72 meters in 8 seconds. How many meters it changes each second(in 1 second)?

8s - 72m

1s - x m

8x = 72

x = \frac{72}{8}

x = 9

9 meters.

b) In 1 hour, heated by 6ºC. How much in total during 48 hours?

1h - 6ºC

48h - xºC

x = 48*6

The total change in temperature was of 288ºC

3 0
3 years ago
 PLEASE HELP 15 points for brainliest! What is the solution of n^2-49=0
creativ13 [48]

Answer:  The correct option are (1). c, (2). d and (3). (b).

Step-by-step explanation:  The calculations are as follows:

(1) We are to find the solution of the following quadratic equation:

n^2-49=0.

We have

n^2-49=0\\\\\Rightarrow n^2=49\\\\\Rightarrow n=\pm7~~~~~\textup{[taking square roots on both sides]}

Thus, the correct option is (c). \pm7.

(2) We are to find the solution of the following quadratic equation:

x^2+64=0.

We have

x^2+64=0\\\\\Rightarrow x^2=-64.

Since there is no real number whose square is negative, so this equation has no solution.

Thus, the correct option is (d). no solution.

(3) We are given to find the side length of a square with an area of 144x².

Let, 'a' denotes the side length of the square.

Then,

a^2=144x^2\\\\\Rightarrow a=\pm12x.~~~~~~~\textup{[taking square root on both sides]}

Since the length of the side cannot be negative, so the side length is 12x.

Thus, (b) is the correct option.

The correct option are (1). c, (2). d and (3). (b).

6 0
3 years ago
Read 2 more answers
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