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Advocard [28]
3 years ago
13

What is ( 2 ^8 x 5^-5 x 19^0) ^-2 x ( 5^-2 / 2^3 ) ^4 x 2^28

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
7 0

(2^8x5^-5x19^0)^-2 x (5^-2/2^3)^4 x 2^28

(256x0.00032x1)^-2 x (0.04/8)^4 x 2^28

0.08192^-2 x 0.005^4 x 268,435,456

149.0116119384766 x 0.000000000625 x 268,435,456

0.000000093132257 x 268,435,456

= 25

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Determine if the following lines are parallel (never intersect), perpendicular (intersect at a 90 degree angle), intersecting (i
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Answer:


These lines are perpendicular.

Step-by-step explanation:

Put both equations in the slope intercept form of a line.

y = -6x - 8  This is already in the slope intercept form for a line

-x + 6y = 12  Add x to both sides of the equation

6y = x + 12  Divide through the whole equation by 6

y = 1/6x +2  

Now we compare the two slopes of -6 and 1/6.  They are negative reciprocals of each other.  That means that the line are perpendicular.

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2 years ago
Boston has an area of 90 square miles. It has a population density of 6862 people per square mile. What is the population of Bos
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Divide 315,530,612 by 3,539,225 to get 89 people per square mile (rounded)
3 0
3 years ago
Find the missing term in each pair of equivalent ratios.
Masteriza [31]
1. 7/15 = 63/135

2. 6/13 = 48/104

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3 years ago
The top two most profitable Fortune 500 companies in 2016 were Apple and JP Morgan Chase & Co. JP Morgan Chase & Co.'s r
svetlana [45]

Answer:

a. 53.4

b. 24.4

Step-by-step explanation:

a+j=77.8

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a+j=77.8

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5 0
2 years ago
Lindsey Wilson was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 814 p
baherus [9]

Answer:

The number of free throws, two-point throw, and three-point throw are 135, 173, and 111 respectively.

Step-by-step explanation:

Let x,y, and z are the numbers of two-point field goals, numbers of three-point field goals, and the number of free-throws (one-point goal) respectively.

The total points= 814

\Rightarrow 2x+3y+z=814\;\cdots(i)

As the number of two-point  goals was 49 less than double the number of three-point field goals she made.

\Rightarrow x=2y-49 \;\cdots(ii)

Again, the number of free goals was 38 less than the number of two-point field goals she made.

\Rightarrow z=x-38\;\cdots(iii)

From equations (i) and (iii)

2x+3y+x-38=814

\Rightarrow 3x+3y=852

\Rightarrow x+y=284

\Rightarrow 2y-49+y=284 [using equation (ii)]

\Rightarrow 3y=333

\Rightarrow y=111

From equation (ii),

x= 2\times111-38=173

From equation (iii),

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Hence,

The number of free throws, z= 135

The number of two-point throw, x=173

The number of three-point throw, y=111.

3 0
3 years ago
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