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Hunter-Best [27]
3 years ago
6

Simplify the following numerical expressions.

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
3 0

Answer:

|7| - 7 = 0

2|-7| =  14

(-7)^2 =  49

-7-|-7|=  -14

-7-1-71= -79

Step-by-step explanation:

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MATH HELP !!!!!!! :)
shtirl [24]
1) 

2a - 3bc = -9
2a = -9 + 3bc
a = -9/2 + 3bc/2

2)

Reciprocal of -2/3 is -3/2

3)

reciprocal of -1 is -1/1 or -1

Hope this helps :)


3 0
3 years ago
(very urgent) will gave 20 pts
kakasveta [241]

Answer:

a. 45/1024

b. 1/4

c. 15/128

d. 193/512

e. 9/256

Step-by-step explanation:

Here, each position can be either a 0 or a 1.

So, total number of strings possible = 2^10 = 1024

a) For strings that have exactly two 1's,

it means there must also be exactly eight 0's.

Thus, total number of such strings possible

10!/2!8!=45

Thus, probability is

45/1024

b) Here, we have fixed the 1st and the last positions, and eight positions are available.

Each of these 8 positions can take either a 0 or a 1.

Thus, total number of such strings possible

=2^8=256

Thus, probability is

256/1024 = 1/4

c) For sum of bits to be equal to seven, we must have exactly seven 1's in the string.

Also, it means there must also be exactly three 0's

Thus, total number of such strings possible

10!/7!3!=120

Thus, probability

120/1024 = 15/128

d) Following are the possibilities :

There are six 0's, four 1's :

So, number of strings

10!/6!4!=210

There are seven 0's, three 1's :

So, number of strings

10!/7!3!=120

There are eight 0's, two 1's :

So, number of strings

10!/8!2!=45

There are nine 0's, one 1's :

So, number of strings

10!/9!1!=10

There are ten 0's, zero 1's :

So, number of strings

10!/10!0!=1

Thus, total number of string possible

= 210 + 120 + 45 + 10 + 1

= 386

Thus, probability is

386/1024 = 193/512

e) Here, we have fixed the starting position, so 9 positions remain.

In these 9 positions, there must be exactly two 1's, which means there must also be exactly seven 0's.

Thus, total number of such strings possible

9!/2!7!=36

Thus, probability is

36/1024 = 9/256

5 0
3 years ago
Multiple-Choice The average distance
murzikaleks [220]
Alright, so it would be helpful to think about this question in terms of units. You're given a distance (meters) and speed (meters per second). You're asked for time (which is in seconds).

If you do \frac{meters}{meters/second}, your answer will be in seconds. So divide your distance (2.28 x 10^11 meters) by your speed (3.00 x 10^8 meters/second), and you should get your time! 
4 0
3 years ago
The point nearest to the origin on a line is at (4, -4). Find the standard form of the equation of the line.
MariettaO [177]
The line through that point and the origin has a slope of -1. It is perpendicular to the line you want, so the line you want has slope +1. Its equation can be written as
.. y = (x -4) -4
or, in standard form
.. x - y = 8

5 0
3 years ago
What’s the answer to this problem???
Snowcat [4.5K]
Rewrite the equation into slope intercept form:
8y = -5x+16

divide everything by 8 to get just y
y = -5/8x+2

 the slope = -5/8
8 0
3 years ago
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